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35 Commits

Author SHA1 Message Date
Arthur Meyre
b00e8bafe5 chore: bump TFHE-rs to version 1.5.2 2026-02-09 13:05:01 +01:00
Arthur Meyre
140a780bb6 chore: bump tfhe-cuda-backend to 0.13.1 2026-02-09 13:05:01 +01:00
Thomas Montaigu
e646130324 chore: move shortint expanded types into shortint mod
The expanded types definitions were in the high level API
as it was originally related to the XofKeySet feature.

However, since it's now used even in non-xof setting
we decided to move these types to shortint module
where they conceptually belong
2026-02-09 09:14:25 +01:00
Thomas Montaigu
f79204e23e feat(hlapi): add is_conformant for CompressedXofKeySet 2026-02-09 09:14:25 +01:00
Thomas Montaigu
b6b24f4fb9 fix(xofkeyset): generate multibit decompression key when params are multibit 2026-02-09 09:14:25 +01:00
Thomas Montaigu
41621dc4e3 fix(conformance): GGSW list had wrong group count 2026-02-09 09:14:25 +01:00
Thomas Montaigu
662038da19 chore(xof_key_set): make generate_with_pre_seeded_generator public
MPC teams needs to be able to generate a CompressedXofKeySet
from an existing ClientKey
2026-02-09 09:14:25 +01:00
Thomas Montaigu
9d21aecae9 feat(hlapi): add decompress_to_gpu for CompressedXofKeySet
Done using the newly added expand + convert pattern
2026-02-09 09:14:25 +01:00
Thomas Montaigu
58dbdf7dd4 refactor(hlapi): add IntegerExpandedServerKey::convert_to_gpu
And use it to convert from CompressedServerKey to CudaServerKey.
2026-02-09 09:14:25 +01:00
Thomas Montaigu
1a7b7ace47 refactor(hlapi): split gpu key conversion in expand/convert
converting from CompressedServerKey (Cpu) to CudaServerKey
was done via decompress_from_cpu/decompress_to_cuda methods.

We refactor to split these functions in 2: one that converts from cpu
(input in std domain for bootstrap keys), the other that
decompress/expand then calls convert
2026-02-09 09:14:25 +01:00
Thomas Montaigu
7797b60ef2 refactor(hlapi): add expand() method to CompressedServerKey
Add an expand method to CompressedServerKey that returns an
IntegerExpandedServerKey. Refactor decompress() to use the new expand()
then convert_to_cpu().

This will allow later to refactor the convertion from
CompressedServerKey to CudaServerKey to follow a similar pattern,
meaning we will be able to share the code that converts keys from CPU to
GPU between the normal server key and the xof server key
2026-02-09 09:14:25 +01:00
Thomas Montaigu
56c0a9fa5e fix(hlapi-gpu): correct state of post decompression noise squashed ct
The GPU part did not set the correct state

This problem is sort of rare to encounter as generally a
CompressedSquashedNoiseCiphertextList is deserialized then used.
When deserialized its on the CPU, so calls to `get` use CPU
code which correctly set the state.

This problem is thus visible when either:
- safe_deserializing and manually moving the list to GPU
- deserialize
- directly expanding after the creation of the list
2026-02-09 09:14:25 +01:00
Thomas Montaigu
37bcb7763d fix(hlapi): return error when trying to expand non packed list 2026-02-09 09:14:25 +01:00
Thomas Montaigu
ae978bedc6 refactor(xof_key_set): split decompression into expansion and conversion
Introduce IntegerExpandedServerKey as an intermediate representation
between compressed (seeded) keys and backend-specific formats. Decompression
is now a two-step process:

1. Seed expansion: decompress seeded keys into standard domain representations
   (e.g., LweBootstrapKey instead of FourierLweBootstrapKey)
2. Backend conversion: convert to target backend format (CPU Fourier, GPU, etc.)

This separation allows sharing the expansion step across backends while
specializing only the final conversion, as for this XOF based expansion
the order is important

Changes:
- Split xof_key_set.rs into module structure (mod.rs, internal.rs, test.rs)
- Add intermediate types, that contains the expanded, but not converted
  data
2026-02-09 09:14:25 +01:00
David Testé
43ebb14b9b doc: fix specs description of aws hpc7a.96xlarge instance
These instances have two sockets, each equipped with a 96-core CPU.
2026-02-06 12:25:07 +01:00
David Testé
641b394423 doc: add svg tables to zero-knowledge benchmarks
This removes the embedded GSheet.
These SVGs display more operations and inputs that reflect
real-use cases.
Throughput is available only for server-side computation as
it's meaningless to perform multiple proof in parallele on
the client-side.
2026-02-02 18:05:08 +01:00
Beka Barbakadze
72c18cc2b2 fix(gpu): add __syncthread and threadIdx condition for sample_extract_body in all pbs versions 2026-01-30 20:21:15 +01:00
Pedro Alves
71e95c435d chore(gpu): add test for single-item compact ciphertext list expand 2026-01-30 20:21:15 +01:00
Andrei Stoian
057217b7d2 fix(gpu): more crypto param checks in cuda backend 2026-01-30 20:21:15 +01:00
Beka Barbakadze
f006039916 refactor(gpu): refactor f128 and fft128 to prevent possible precision losses and improve performance 2026-01-30 20:21:15 +01:00
Pedro Alves
69df8c0310 fix(gpu): fix some inconsistencies in decompression that could enable access of not allocated memory
- also adds a diagram explaining how compression / decompression work
2026-01-30 20:21:15 +01:00
Agnes Leroy
482e49eac5 fix(gpu): add check on nullptr for dest_indexes in many lut gather 2026-01-29 15:58:18 +01:00
Guillermo Oyarzun
0dcf2ace3b fix(gpu): handling temporary events destruction 2026-01-29 15:58:18 +01:00
Pedro Alves
0483c95941 fix(gpu): fix an invalid access in expand when the number of LWEs is odd
- also improves test_expander_length_matches_data_items
- adds diagrams and explanations about GPU's expand
2026-01-29 15:58:18 +01:00
Guillermo Oyarzun
f9b292ca77 fix(gpu): add panic for 32-bit Torus calls 2026-01-29 15:58:18 +01:00
Agnes Leroy
8e194c4b65 chore(gpu): fix logic to check ptr validity in device.cu 2026-01-29 15:58:18 +01:00
Agnes Leroy
f02bba151c chore(gpu): stop trying to enable NVlink since we don't use it 2026-01-29 15:58:18 +01:00
Agnes Leroy
a477548161 chore(gpu): add comments in device.cu 2026-01-29 15:58:18 +01:00
David Testé
45a7d5217c chore(docs): update benchmark results for all backends 2026-01-26 17:08:40 +01:00
Andrei Stoian
865c0887ee fix(gpu): mutex lock 2026-01-26 11:20:54 +01:00
Agnes Leroy
0b9df1c8cd doc: add erc20 benchmark results for all backends 2026-01-26 11:20:54 +01:00
Pedro Alves
cf20e337ef fix(gpu): fix an inconsistency between CudaCompactCiphertextListExpander::len() and the CPU equivalent 2026-01-23 15:37:18 +01:00
Agnes Leroy
d7aea61eba fix(gpu): fix potential overflow in create_on_same_gpus 2026-01-23 15:37:18 +01:00
Arthur Meyre
9352ecce54 chore: bump version to 1.5.1 2026-01-20 14:17:55 +01:00
Arthur Meyre
179b52ab26 feat: add missing raw parts APIs for shortint (Compressed)DecompressionKey 2026-01-20 14:17:55 +01:00
350 changed files with 7283 additions and 14785 deletions

View File

@@ -23,10 +23,6 @@ runs:
echo "${CMAKE_SCRIPT_SHA} cmake-${CMAKE_VERSION}-linux-x86_64.sh" > checksum
sha256sum -c checksum
sudo bash cmake-"${CMAKE_VERSION}"-linux-x86_64.sh --skip-license --prefix=/usr/ --exclude-subdir
# Disable unattended-upgrades to avoid lock issues
sudo systemctl disable --now unattended-upgrades
sudo apt-get clean
sudo rm -rf /var/lib/apt/lists/*
sudo apt update

View File

@@ -1,213 +0,0 @@
# Run a small subset of tests to ensure quick feedback.
name: aws_tfhe_param_prod_tests
env:
CARGO_TERM_COLOR: always
ACTION_RUN_URL: ${{ github.server_url }}/${{ github.repository }}/actions/runs/${{ github.run_id }}
RUSTFLAGS: "-C target-cpu=native"
RUST_BACKTRACE: "full"
RUST_MIN_STACK: "8388608"
SLACK_CHANNEL: ${{ secrets.SLACK_CHANNEL }}
SLACK_ICON: https://pbs.twimg.com/profile_images/1274014582265298945/OjBKP9kn_400x400.png
SLACK_USERNAME: ${{ secrets.BOT_USERNAME }}
SLACK_WEBHOOK: ${{ secrets.SLACK_WEBHOOK }}
SLACKIFY_MARKDOWN: true
IS_PULL_REQUEST: ${{ github.event_name == 'pull_request' }}
PULL_REQUEST_MD_LINK: ""
CHECKOUT_TOKEN: ${{ secrets.REPO_CHECKOUT_TOKEN || secrets.GITHUB_TOKEN }}
# Secrets will be available only to zama-ai organization members
SECRETS_AVAILABLE: ${{ secrets.JOB_SECRET != '' }}
EXTERNAL_CONTRIBUTION_RUNNER: "large_ubuntu_64-22.04"
on:
# Allows you to run this workflow manually from the Actions tab as an alternative.
workflow_dispatch:
pull_request:
types: [ labeled ]
permissions:
contents: read
# zizmor: ignore[concurrency-limits] concurrency is managed after instance setup to ensure safe provisioning
jobs:
should-run:
name: aws_tfhe_param_prod_tests/should-run
if: (github.event_name == 'pull_request' && contains(github.event.label.name, 'approved')) || github.event_name == 'workflow_dispatch'
runs-on: ubuntu-latest
permissions:
pull-requests: read # Needed to check for file change
outputs:
csprng_test: ${{ env.IS_PULL_REQUEST == 'false' || steps.changed-files.outputs.csprng_any_changed }}
zk_pok_test: ${{ env.IS_PULL_REQUEST == 'false' || steps.changed-files.outputs.zk_pok_any_changed }}
versionable_test: ${{ env.IS_PULL_REQUEST == 'false' || steps.changed-files.outputs.versionable_any_changed }}
shortint_test: ${{ env.IS_PULL_REQUEST == 'false' ||
steps.changed-files.outputs.shortint_any_changed ||
steps.changed-files.outputs.dependencies_any_changed }}
integer_test: ${{ env.IS_PULL_REQUEST == 'false' ||
steps.changed-files.outputs.integer_any_changed ||
steps.changed-files.outputs.dependencies_any_changed }}
high_level_api_test: ${{ env.IS_PULL_REQUEST == 'false' ||
steps.changed-files.outputs.high_level_api_any_changed ||
steps.changed-files.outputs.dependencies_any_changed }}
any_file_changed: ${{ env.IS_PULL_REQUEST == 'false' || steps.aggregated-changes.outputs.any_changed }}
steps:
- name: Checkout tfhe-rs
uses: actions/checkout@1af3b93b6815bc44a9784bd300feb67ff0d1eeb3
with:
fetch-depth: 0
persist-credentials: 'false'
token: ${{ env.CHECKOUT_TOKEN }}
- name: Check for file changes
id: changed-files
uses: tj-actions/changed-files@24d32ffd492484c1d75e0c0b894501ddb9d30d62 # v47.0.0
with:
files_yaml: |
dependencies:
- tfhe/Cargo.toml
- tfhe-csprng/**
- tfhe-fft/**
- tfhe-zk-pok/**
- utils/tfhe-versionable/**
- utils/tfhe-versionable-derive/**
versionable:
- utils/tfhe-versionable/**
- utils/tfhe-versionable-derive/**
shortint:
- tfhe/src/core_crypto/**
- tfhe/src/shortint/**
integer:
- tfhe/src/core_crypto/**
- tfhe/src/shortint/**
- tfhe/src/integer/**
high_level_api:
- tfhe/src/**
- '!tfhe/src/c_api/**'
- '!tfhe/src/boolean/**'
- '!tfhe/src/c_api/**'
- '!tfhe/src/js_on_wasm_api/**'
- name: Aggregate file changes
id: aggregated-changes
if: ( steps.changed-files.outputs.dependencies_any_changed == 'true' ||
steps.changed-files.outputs.csprng_any_changed == 'true' ||
steps.changed-files.outputs.zk_pok_any_changed == 'true' ||
steps.changed-files.outputs.versionable_any_changed == 'true' ||
steps.changed-files.outputs.core_crypto_any_changed == 'true' ||
steps.changed-files.outputs.boolean_any_changed == 'true' ||
steps.changed-files.outputs.shortint_any_changed == 'true' ||
steps.changed-files.outputs.integer_any_changed == 'true' ||
steps.changed-files.outputs.wasm_any_changed == 'true' ||
steps.changed-files.outputs.high_level_api_any_changed == 'true' ||
steps.changed-files.outputs.user_docs_any_changed == 'true')
run: |
echo "any_changed=true" >> "$GITHUB_OUTPUT"
setup-instance:
name: aws_tfhe_param_prod_tests/setup-instance
if: github.event_name == 'workflow_dispatch' ||
(github.event_name != 'workflow_dispatch' && needs.should-run.outputs.any_file_changed == 'true')
needs: should-run
runs-on: ubuntu-latest
outputs:
runner-name: ${{ steps.start-remote-instance.outputs.label || steps.start-github-instance.outputs.runner_group }}
steps:
- name: Start remote instance
id: start-remote-instance
if: env.SECRETS_AVAILABLE == 'true'
uses: zama-ai/slab-github-runner@973c1d22702de8d0acd2b34e83404c96ed92c264 # v1.4.2
with:
mode: start
github-token: ${{ secrets.SLAB_ACTION_TOKEN }}
slab-url: ${{ secrets.SLAB_BASE_URL }}
job-secret: ${{ secrets.JOB_SECRET }}
backend: aws
profile: cpu-big
# This instance will be spawned especially for pull-request from forked repository
- name: Start GitHub instance
id: start-github-instance
if: env.SECRETS_AVAILABLE == 'false'
run: |
echo "runner_group=${EXTERNAL_CONTRIBUTION_RUNNER}" >> "$GITHUB_OUTPUT"
param-prod-tests:
name: aws_tfhe_param_prod_tests/param-prod-tests
needs: [ should-run, setup-instance ]
concurrency:
group: ${{ github.workflow_ref }}
cancel-in-progress: true
runs-on: ${{ needs.setup-instance.outputs.runner-name }}
steps:
- name: Checkout tfhe-rs
uses: actions/checkout@1af3b93b6815bc44a9784bd300feb67ff0d1eeb3
with:
persist-credentials: 'false'
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install latest stable
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
with:
toolchain: stable
- name: Gen Keys if required
if: needs.should-run.outputs.shortint_test == 'true' ||
needs.should-run.outputs.integer_test == 'true'
run: |
make gen_key_cache
- name: Run shortint tests
if: needs.should-run.outputs.shortint_test == 'true'
run: |
BIG_TESTS_INSTANCE=TRUE FAST_TESTS=FALSE make test_param_prod_shortint_ci
- name: Run integer tests
if: needs.should-run.outputs.integer_test == 'true'
run: |
BIG_TESTS_INSTANCE=TRUE FAST_TESTS=FALSE make test_param_prod_integer_ci
- name: Run high-level API tests
if: needs.should-run.outputs.high_level_api_test == 'true'
run: |
make test_param_prod_high_level_api
- name: Set pull-request URL
if: ${{ failure() && github.event_name == 'pull_request' }}
run: |
echo "PULL_REQUEST_MD_LINK=[pull-request](${PR_BASE_URL}${PR_NUMBER}), " >> "${GITHUB_ENV}"
env:
PR_BASE_URL: ${{ vars.PR_BASE_URL }}
PR_NUMBER: ${{ github.event.pull_request.number }}
- name: Slack Notification
if: ${{ failure() && env.SECRETS_AVAILABLE == 'true' }}
continue-on-error: true
uses: rtCamp/action-slack-notify@e31e87e03dd19038e411e38ae27cbad084a90661
env:
SLACK_COLOR: ${{ job.status }}
SLACK_MESSAGE: "Fast AWS tests finished with status: ${{ job.status }}. (${{ env.PULL_REQUEST_MD_LINK }}[action run](${{ env.ACTION_RUN_URL }}))"
teardown-instance:
name: aws_tfhe_param_prod_tests/teardown-instance
if: ${{ always() && needs.setup-instance.result == 'success' }}
needs: [ setup-instance, param-prod-tests ]
runs-on: ubuntu-latest
steps:
- name: Stop remote instance
id: stop-instance
if: env.SECRETS_AVAILABLE == 'true'
uses: zama-ai/slab-github-runner@973c1d22702de8d0acd2b34e83404c96ed92c264 # v1.4.2
with:
mode: stop
github-token: ${{ secrets.SLAB_ACTION_TOKEN }}
slab-url: ${{ secrets.SLAB_BASE_URL }}
job-secret: ${{ secrets.JOB_SECRET }}
label: ${{ needs.setup-instance.outputs.runner-name }}
- name: Slack Notification
if: ${{ failure() || (cancelled() && github.event_name != 'pull_request') }}
uses: rtCamp/action-slack-notify@e31e87e03dd19038e411e38ae27cbad084a90661
env:
SLACK_COLOR: ${{ job.status }}
SLACK_MESSAGE: "Instance teardown (param-prod-tests) finished with status: ${{ job.status }}. (${{ env.ACTION_RUN_URL }})"

View File

@@ -187,7 +187,7 @@ jobs:
- name: Upload parsed results artifact
uses: actions/upload-artifact@b7c566a772e6b6bfb58ed0dc250532a479d7789f
with:
name: ${{ github.sha }}_${{ matrix.bench_type }}_${{ matrix.command }}_benchmarks
name: ${{ github.sha }}_${{ matrix.bench_type }}_integer_benchmarks
path: ${{ env.RESULTS_FILENAME }}
- name: Checkout Slab repo

View File

@@ -73,7 +73,7 @@ jobs:
SHA: ${{ github.sha }}
- name: Install rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: nightly
override: true

View File

@@ -73,7 +73,7 @@ jobs:
SHA: ${{ github.sha }}
- name: Install rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: nightly
override: true

View File

@@ -32,7 +32,7 @@ jobs:
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install Rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: stable
override: true

View File

@@ -30,7 +30,7 @@ jobs:
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install Rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: stable
override: true

View File

@@ -62,7 +62,7 @@ jobs:
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install Rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: stable
override: true

View File

@@ -93,7 +93,7 @@ jobs:
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install Rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: stable
override: true

View File

@@ -89,7 +89,7 @@ jobs:
token: ${{ env.CHECKOUT_TOKEN }}
- name: Install Rust
uses: dtolnay/rust-toolchain@e97e2d8cc328f1b50210efc529dca0028893a2d9 # zizmor: ignore[stale-action-refs] this action doesn't create releases
uses: actions-rs/toolchain@16499b5e05bf2e26879000db0c1d13f7e13fa3af
with:
toolchain: stable
override: true

View File

@@ -92,7 +92,7 @@ jobs:
- name: Publish web package
if: ${{ inputs.push_web_package }}
uses: JS-DevTools/npm-publish@d2fef917d9aa6e1f0ee5eac28ed023eb4921ce51
uses: JS-DevTools/npm-publish@7f8fe47b3bea1be0c3aec2b717c5ec1f3e03410b
with:
package: tfhe/pkg/package.json
dry-run: ${{ inputs.dry_run }}
@@ -109,7 +109,7 @@ jobs:
- name: Publish Node package
if: ${{ inputs.push_node_package }}
uses: JS-DevTools/npm-publish@d2fef917d9aa6e1f0ee5eac28ed023eb4921ce51
uses: JS-DevTools/npm-publish@7f8fe47b3bea1be0c3aec2b717c5ec1f3e03410b
with:
package: tfhe/pkg/package.json
dry-run: ${{ inputs.dry_run }}

View File

@@ -1,67 +0,0 @@
name: pr_milestone_check
on:
pull_request:
types: [opened, edited, synchronize, reopened, milestoned, demilestoned]
permissions: {}
# zizmor: ignore[concurrency-limits] only Zama organization members can trigger this workflow
# external contributors workflows are manually approved
jobs:
check-empty-milestone:
name: pr_milestone_check/check-empty-milestone
runs-on: ubuntu-latest
if: github.event.pull_request.milestone == null
permissions:
pull-requests: write # Need write access on pull requests to post comment
steps:
- name: Post Reminder Comment
uses: octokit/request-action@dad4362715b7fb2ddedf9772c8670824af564f0d # v2.4.0
with:
route: POST /repos/${{ github.repository }}/issues/${{ github.event.pull_request.number }}/comments
body: |
'### ❌ Milestone Missing
Please assign a milestone to this pull request. If your PR targets the next version of
TFHE-rs please use the current quarter milestone, e.g. "Q1 26".
If your PR targets a patch version for previous releases: consider creating a dedicated
milestone e.g. v1.5.1 if it does not exist yet.'
env:
GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
- name: Check Final Status
run: |
echo "::error::Milestone is missing. This check is failing."
exit 1
check-milestone-open:
name: pr_milestone_check/check-milestone-open
runs-on: ubuntu-latest
if: github.event.pull_request.milestone != null && github.event.pull_request.milestone.state == 'closed'
permissions:
pull-requests: write # Need write access on pull requests to post comment
steps:
- name: Post Reminder Comment
uses: octokit/request-action@dad4362715b7fb2ddedf9772c8670824af564f0d # v2.4.0
with:
route: POST /repos/${{ github.repository }}/issues/${{ github.event.pull_request.number }}/comments
body: |
'### ❌ Milestone is closed
Please assign an open milestone to this pull request. If your PR targets the next version of
TFHE-rs please use the current quarter milestone, e.g. "Q1 26".
If your PR targets a patch version for previous releases: consider creating a dedicated
milestone e.g. v1.5.1 if it does not exist yet.'
env:
GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
- name: Check Final Status
run: |
echo "::error::Milestone is closed. This check is failing."
exit 1

View File

@@ -29,8 +29,8 @@ WASM_PACK_VERSION="0.13.1"
WASM_BINDGEN_VERSION:=$(shell cargo tree --target wasm32-unknown-unknown -e all --prefix none | grep "wasm-bindgen v" | head -n 1 | cut -d 'v' -f2)
WEB_RUNNER_DIR=web-test-runner
WEB_SERVER_DIR=tfhe/web_wasm_parallel_tests
TYPOS_VERSION=1.42.0
ZIZMOR_VERSION=1.20.0
TYPOS_VERSION=1.39.0
ZIZMOR_VERSION=1.16.2
# This is done to avoid forgetting it, we still precise the RUSTFLAGS in the commands to be able to
# copy paste the command in the terminal and change them if required without forgetting the flags
export RUSTFLAGS?=-C target-cpu=native
@@ -905,14 +905,6 @@ test_shortint_ci: install_cargo_nextest
./scripts/shortint-tests.sh \
--cargo-profile "$(CARGO_PROFILE)" --tfhe-package "tfhe"
.PHONY: test_param_prod_shortint_ci # Run the tests for shortint ci
test_param_prod_shortint_ci: install_cargo_nextest
BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
FAST_TESTS="$(FAST_TESTS)" \
./scripts/shortint-tests.sh \
--cargo-profile "$(CARGO_PROFILE)" --run-prod-only --tfhe-package "tfhe"
.PHONY: test_shortint_multi_bit_ci # Run the tests for shortint ci running only multibit tests
test_shortint_multi_bit_ci: install_cargo_nextest
BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
@@ -942,15 +934,6 @@ test_integer_ci: install_cargo_nextest
--cargo-profile "$(CARGO_PROFILE)" --avx512-support "$(AVX512_SUPPORT)" \
--tfhe-package "tfhe"
.PHONY: test_param_prod_integer_ci # Run the tests for integer ci
test_param_prod_integer_ci: install_cargo_nextest
BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
FAST_TESTS="$(FAST_TESTS)" \
NIGHTLY_TESTS="$(NIGHTLY_TESTS)" \
./scripts/integer-tests.sh \
--cargo-profile "$(CARGO_PROFILE)" --avx512-support "$(AVX512_SUPPORT)" \
--run-prod-only --tfhe-package "tfhe"
.PHONY: test_unsigned_integer_ci # Run the tests for unsigned integer ci
test_unsigned_integer_ci: install_cargo_nextest
BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
@@ -1048,16 +1031,9 @@ test_integer_cov: install_tarpaulin
.PHONY: test_high_level_api # Run all the tests for high_level_api
test_high_level_api:
RUSTFLAGS="$(RUSTFLAGS)" cargo nextest run --cargo-profile $(CARGO_PROFILE) \
--profile=ci \
RUSTFLAGS="$(RUSTFLAGS)" cargo test --profile $(CARGO_PROFILE) \
--features=boolean,shortint,integer,internal-keycache,zk-pok,strings -p tfhe \
-E "test(/high_level_api::.*/) and not test(/.*param_prod.*/)"
test_param_prod_high_level_api:
RUSTFLAGS="$(RUSTFLAGS)" cargo nextest run --cargo-profile $(CARGO_PROFILE) \
--profile=ci \
--features=boolean,shortint,integer,internal-keycache,zk-pok,strings -p tfhe \
-E "test(/high_level_api::.*/) and test(/.*param_prod.*/)"
-- high_level_api::
test_high_level_api_gpu: install_cargo_nextest
RUSTFLAGS="$(RUSTFLAGS)" cargo nextest run --cargo-profile $(CARGO_PROFILE) \
@@ -1478,13 +1454,6 @@ bench_integer_aes256_gpu: install_rs_check_toolchain
--bench integer-aes256 \
--features=integer,internal-keycache,gpu, -p tfhe-benchmark --profile release_lto_off --
.PHONY: bench_integer_trivium_gpu # Run benchmarks for trivium on GPU backend
bench_integer_trivium_gpu: install_rs_check_toolchain
RUSTFLAGS="$(RUSTFLAGS)" __TFHE_RS_BENCH_TYPE=$(BENCH_TYPE) \
cargo $(CARGO_RS_CHECK_TOOLCHAIN) bench \
--bench integer-trivium \
--features=integer,internal-keycache,gpu, -p tfhe-benchmark --profile release_lto_off --
.PHONY: bench_integer_multi_bit # Run benchmarks for unsigned integer using multi-bit parameters
bench_integer_multi_bit: install_rs_check_toolchain
RUSTFLAGS="$(RUSTFLAGS)" __TFHE_RS_PARAM_TYPE=MULTI_BIT __TFHE_RS_BENCH_TYPE=$(BENCH_TYPE) \

View File

@@ -79,7 +79,7 @@ tfhe = { version = "*", features = ["boolean", "shortint", "integer"] }
```
> [!Note]
> Note: You need Rust version 1.91.1 or newer to compile TFHE-rs. You can check your version with `rustc --version`.
> Note: You need Rust version 1.84 or newer to compile TFHE-rs. You can check your version with `rustc --version`.
> [!Note]
> Note: AArch64-based machines are not supported for Windows as it's currently missing an entropy source to be able to seed the [CSPRNGs](https://en.wikipedia.org/wiki/Cryptographically_secure_pseudorandom_number_generator) used in TFHE-rs.

View File

@@ -1,43 +1,43 @@
# Test vectors for TFHE
These test vectors are generated using [TFHE-rs](https://github.com/zama-ai/tfhe-rs), with the git tag `tfhe-test-vectors-0.2.0`.
They are TFHE-rs objects serialized in the [cbor format](https://cbor.io/). These can be deserialized using any cbor library for any programming languages. For example, using the [cbor2](https://pypi.org/project/cbor2/) program, the command to run is: `cbor2 --pretty toy_params/lwe_a.cbor`.
They are TFHE-rs objects serialized in the [cbor format](https://cbor.io/). You can deserialize them using any cbor library for the language of your choice. For example, using the [cbor2](https://pypi.org/project/cbor2/) program, run: `cbor2 --pretty toy_params/lwe_a.cbor`.
There are 2 folders with test vectors for different parameter sets:
- `valid_params_128`: valid classical PBS parameters using a Gaussian noise distribution, providing 128-bits of security in the IND-CPA model (i.e., the probability of failure is smaller than 2^{-64}).
- `toy_params`: insecure parameters that yield smaller values to simplify the bit comparison of the results.
You will find 2 folders with test vectors for different parameter sets:
- `valid_params_128`: valid classical PBS parameters using a gaussian noise distribution, providing 128bits of security in the IND-CPA model and a bootstrapping probability of failure of 2^{-64}.
- `toy_params`: insecure parameters that yield smaller values
The values are generated to compute a keyswitch (KS) followed by a bootstrap (PBS). The cleartext inputs are 2 values, A and B defined below.
The values are generated for the keyswitch -> bootstrap (KS-PBS) atomic pattern. The cleartext inputs are 2 values, A and B defined below.
All the random values are generated from a fixed seed, that can be found in the `RAND_SEED` constant below. The PRNG used is the one based on the AES block cipher in counter mode, from tfhe `tfhe-csprng` crate.
The bootstrap is applied twice, with 2 different lut, the identity lut and a specific one computing the double of the input value (i.e., f(x) = 2*x).
The programmable bootstrap is applied twice, with 2 different lut, the identity lut and a specific one (currently a x2 operation)
## Vectors
The following values are generated:
### Keys
| name | description | TFHE-rs type |
|------------------------|-----------------------------------------------------------------------------------------|-----------------------------|
| `large_lwe_secret_key` | Encryption secret key, before the KS and after the PBS | `LweSecretKey<Vec<u64>>` |
| `small_lwe_secret_key` | Secret key encrypting ciphertexts between the KS and the PBS | `LweSecretKey<Vec<u64>>` |
| `ksk` | The keyswitching key to convert a ct from the large key to the small one | `LweKeyswitchKey<Vec<u64>>` |
| name | description | TFHE-rs type |
|------------------------|---------------------------------------------------------------------------------------|-----------------------------|
| `large_lwe_secret_key` | Encryption secret key, before the KS and after the PBS | `LweSecretKey<Vec<u64>>` |
| `small_lwe_secret_key` | Secret key encrypting ciphertexts between the KS and the PBS | `LweSecretKey<Vec<u64>>` |
| `ksk` | The keyswitching key to convert a ct from the large key to the small one | `LweKeyswitchKey<Vec<u64>>` |
| `bsk` | the bootstrapping key to perform a programmable bootstrap on the keyswitched ciphertext | `LweBootstrapKey<Vec<u64>>` |
### Ciphertexts
| name | description | TFHE-rs type | Cleartext |
|----------------------|-----------------------------------------------------------------------------------------------------|----------------------------|----------------------|
| `lwe_a` | LWE Ciphertext encrypting A | `LweCiphertext<Vec<u64>>` | `A` |
| `lwe_b` | LWE Ciphertext encrypting B | `LweCiphertext<Vec<u64>>` | `B` |
| `lwe_sum` | LWE Ciphertext encrypting A plus lwe encryption of B | `LweCiphertext<Vec<u64>>` | `A+B` |
| `lwe_prod` | LWE Ciphertext encrypting A times cleartext B | `LweCiphertext<Vec<u64>>` | `A*B` |
| `lwe_ms` | LWE Ciphertext encrypting A after a Modulus Switch from q to 2*N ([note](#non-native-encoding)) | `LweCiphertext<Vec<u64>>` | `A` |
| `lwe_ks` | LWE Ciphertext encrypting A after a keyswitch from `large_lwe_secret_key` to `small_lwe_secret_key` | `LweCiphertext<Vec<u64>>` | `A` |
| `glwe_after_id_br` | GLWE Ciphertext encrypting A after the application of the identity blind rotation on `lwe_ms` | `GlweCiphertext<Vec<u64>>` | rotation of id LUT |
| `lwe_after_id_pbs` | LWE Ciphertext encrypting A after the sample extract operation on `glwe_after_id_br` | `LweCiphertext<Vec<u64>>` | `A` |
| `glwe_after_spec_br` | GLWE Ciphertext encrypting spec(A) after the application of the spec blind rotation on `lwe_ms` | `GlweCiphertext<Vec<u64>>` | rotation of spec LUT |
| `lwe_after_spec_pbs` | LWE Ciphertext encrypting spec(A) after the sample extract operation on `glwe_after_spec_br` | `LweCiphertext<Vec<u64>>` | `spec(A)` |
| name | description | TFHE-rs type | Cleartext |
|----------------------|--------------------------------------------------------------------------------------------------------------|----------------------------|--------------|
| `lwe_a` | Lwe encryption of A | `LweCiphertext<Vec<u64>>` | `A` |
| `lwe_b` | Lwe encryption of B | `LweCiphertext<Vec<u64>>` | `B` |
| `lwe_sum` | Lwe encryption of A plus lwe encryption of B | `LweCiphertext<Vec<u64>>` | `A+B` |
| `lwe_prod` | Lwe encryption of A times cleartext B | `LweCiphertext<Vec<u64>>` | `A*B` |
| `lwe_ms` | The lwe ciphertext after the modswitch part of the PBS ([note](#non-native-encoding)) | `LweCiphertext<Vec<u64>>` | `A` |
| `lwe_ks` | The lwe ciphertext after the keyswitch | `LweCiphertext<Vec<u64>>` | `A` |
| `glwe_after_id_br` | The glwe returned by the application of the identity blind rotation on the mod switched ciphertexts. | `GlweCiphertext<Vec<u64>>` | rot id LUT |
| `lwe_after_id_pbs` | The lwe returned by the application of the sample extract operation on the output of the id blind rotation | `LweCiphertext<Vec<u64>>` | `A` |
| `glwe_after_spec_br` | The glwe returned by the application of the spec blind rotation on the mod switched ciphertexts. | `GlweCiphertext<Vec<u64>>` | rot spec LUT |
| `lwe_after_spec_pbs` | The lwe returned by the application of the sample extract operation on the output of the spec blind rotation | `LweCiphertext<Vec<u64>>` | `spec(A)` |
Ciphertexts with the `_karatsuba` suffix are generated using the Karatsuba polynomial multiplication algorithm in the blind rotation, while default ciphertexts are generated using an FFT multiplication.
This makes it easier to reproduce bit exact results.

View File

@@ -129,7 +129,7 @@ Other sizes than 64 bit are expected to be available in the future.
# FHE shortint Trivium implementation
The same implementation is also available for generic Ciphertexts representing bits (meant to be used with parameters `V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128`).
The same implementation is also available for generic Ciphertexts representing bits (meant to be used with parameters `V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128`).
It uses a lower level API of tfhe-rs, so the syntax is a little bit different. It also implements the `TransCiphering` trait. For optimization purposes, it does not internally run
on the same cryptographic parameters as the high level API of tfhe-rs. As such, it requires the usage of a casting key, to switch from one parameter space to another, which makes
its setup a little more intricate.
@@ -138,9 +138,9 @@ Example code:
```rust
use tfhe::shortint::prelude::*;
use tfhe::shortint::parameters::current_params::{
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
};
use tfhe::{ConfigBuilder, generate_keys, FheUint64};
use tfhe::prelude::*;
@@ -148,17 +148,17 @@ use tfhe_trivium::TriviumStreamShortint;
fn test_shortint() {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) = gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let (client_key, server_key): (ClientKey, ServerKey) = gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128_2M128,
);
let key_string = "0053A6F94C9FF24598EB".to_string();

View File

@@ -1,9 +1,9 @@
use criterion::Criterion;
use tfhe::prelude::*;
use tfhe::shortint::parameters::current_params::{
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
};
use tfhe::shortint::prelude::*;
use tfhe::{generate_keys, ConfigBuilder, FheUint64};
@@ -11,19 +11,19 @@ use tfhe_trivium::{KreyviumStreamShortint, TransCiphering};
pub fn kreyvium_shortint_warmup(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB000000000000".to_string();
@@ -64,19 +64,19 @@ pub fn kreyvium_shortint_warmup(c: &mut Criterion) {
pub fn kreyvium_shortint_gen(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB000000000000".to_string();
@@ -112,19 +112,19 @@ pub fn kreyvium_shortint_gen(c: &mut Criterion) {
pub fn kreyvium_shortint_trans(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB000000000000".to_string();

View File

@@ -1,9 +1,9 @@
use criterion::Criterion;
use tfhe::prelude::*;
use tfhe::shortint::parameters::current_params::{
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
};
use tfhe::shortint::prelude::*;
use tfhe::{generate_keys, ConfigBuilder, FheUint64};
@@ -11,19 +11,19 @@ use tfhe_trivium::{TransCiphering, TriviumStreamShortint};
pub fn trivium_shortint_warmup(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB".to_string();
@@ -64,19 +64,19 @@ pub fn trivium_shortint_warmup(c: &mut Criterion) {
pub fn trivium_shortint_gen(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB".to_string();
@@ -112,19 +112,19 @@ pub fn trivium_shortint_gen(c: &mut Criterion) {
pub fn trivium_shortint_trans(c: &mut Criterion) {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB".to_string();

View File

@@ -1,9 +1,9 @@
use crate::{KreyviumStream, KreyviumStreamByte, KreyviumStreamShortint, TransCiphering};
use tfhe::prelude::*;
use tfhe::shortint::parameters::current_params::{
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
};
use tfhe::{generate_keys, ConfigBuilder, FheBool, FheUint64, FheUint8};
// Values for these tests come from the github repo renaud1239/Kreyvium,
@@ -221,19 +221,19 @@ use tfhe::shortint::prelude::*;
#[test]
fn kreyvium_test_shortint_long() {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB000000000000".to_string();

View File

@@ -7,7 +7,7 @@ use tfhe::prelude::*;
use tfhe::shortint::Ciphertext;
use tfhe::{set_server_key, unset_server_key, FheUint64, FheUint8, ServerKey};
/// Trait specifying the interface for trans ciphering a FheUint64 object. Since it is meant
/// Triat specifying the interface for trans ciphering a FheUint64 object. Since it is meant
/// to be used with stream ciphers, encryption and decryption are by default the same.
pub trait TransCiphering {
fn trans_encrypt_64(&mut self, cipher: FheUint64) -> FheUint64;

View File

@@ -1,9 +1,9 @@
use crate::{TransCiphering, TriviumStream, TriviumStreamByte, TriviumStreamShortint};
use tfhe::prelude::*;
use tfhe::shortint::parameters::current_params::{
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128,
};
use tfhe::{generate_keys, ConfigBuilder, FheBool, FheUint64, FheUint8};
// Values for these tests come from the github repo cantora/avr-crypto-lib, commit 2a5b018,
@@ -357,19 +357,19 @@ use tfhe::shortint::prelude::*;
#[test]
fn trivium_test_shortint_long() {
let config = ConfigBuilder::default()
.use_custom_parameters(V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.use_custom_parameters(V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128)
.build();
let (hl_client_key, hl_server_key) = generate_keys(config);
let underlying_ck: tfhe::shortint::ClientKey = (*hl_client_key.as_ref()).clone().into();
let underlying_sk: tfhe::shortint::ServerKey = (*hl_server_key.as_ref()).clone().into();
let (client_key, server_key): (ClientKey, ServerKey) =
gen_keys(V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
gen_keys(V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128);
let ksk = KeySwitchingKey::new(
(&client_key, Some(&server_key)),
(&underlying_ck, &underlying_sk),
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128,
);
let key_string = "0053A6F94C9FF24598EB".to_string();

View File

@@ -1,6 +1,6 @@
[package]
name = "tfhe-cuda-backend"
version = "0.13.0"
version = "0.13.1"
edition = "2021"
authors = ["Zama team"]
license = "BSD-3-Clause-Clear"

View File

@@ -86,7 +86,6 @@ fn main() {
"cuda/include/integer/integer.h",
"cuda/include/integer/rerand.h",
"cuda/include/aes/aes.h",
"cuda/include/trivium/trivium.h",
"cuda/include/zk/zk.h",
"cuda/include/keyswitch/keyswitch.h",
"cuda/include/keyswitch/ks_enums.h",

View File

@@ -11,10 +11,6 @@ extern bool p2p_enabled;
extern const int THRESHOLD_MULTI_GPU_WITH_MULTI_BIT_PARAMS;
extern const int THRESHOLD_MULTI_GPU_WITH_CLASSICAL_PARAMS;
extern "C" {
int32_t cuda_setup_multi_gpu(int device_0_id);
}
// Define a variant type that can be either a vector or a single pointer
template <typename Torus>
using LweArrayVariant = std::variant<std::vector<Torus *>, Torus *>;
@@ -486,4 +482,38 @@ public:
}
};
// Event pool for managing temporary CUDA events in scatter/gather operations
struct CudaEventPool {
private:
std::vector<cudaEvent_t> _events;
std::vector<uint32_t> _gpu_indices;
public:
CudaEventPool() {}
// Requests a new event from the pool (creates and stores it)
cudaEvent_t request_event(uint32_t gpu_index) {
cudaEvent_t event = cuda_create_event(gpu_index);
_events.push_back(event);
_gpu_indices.push_back(gpu_index);
return event;
}
// Releases all pooled events
// This should always be called in the release of the LUT, so streams
// are already synchronized
void release() {
for (size_t i = 0; i < _events.size(); i++) {
cuda_event_destroy(_events[i], _gpu_indices[i]);
}
_events.clear();
_gpu_indices.clear();
}
~CudaEventPool() {
GPU_ASSERT(_events.empty(),
"CudaEventPool: must call release before destruction");
}
};
#endif

View File

@@ -11,16 +11,26 @@ template <typename Torus> struct int_compression {
Torus *tmp_glwe_array_out;
bool gpu_memory_allocated;
uint32_t lwe_per_glwe;
uint32_t max_num_glwes;
// num_radix_blocks: total number of LWE ciphertexts (radix blocks) to
// compress lwe_per_glwe: max LWEs packed per GLWE (= polynomial_size),
// defined by the chosen parameter set
int_compression(CudaStreams streams, int_radix_params compression_params,
uint32_t num_radix_blocks, uint32_t lwe_per_glwe,
bool allocate_gpu_memory, uint64_t &size_tracker) {
gpu_memory_allocated = allocate_gpu_memory;
this->compression_params = compression_params;
this->lwe_per_glwe = lwe_per_glwe;
uint64_t glwe_accumulator_size = (compression_params.glwe_dimension + 1) *
compression_params.polynomial_size;
// Calculate the actual number of GLWEs needed based on total radix blocks.
// This ensures we allocate enough memory when num_radix_blocks >
// lwe_per_glwe.
max_num_glwes = (num_radix_blocks + lwe_per_glwe - 1) / lwe_per_glwe;
tmp_lwe = static_cast<Torus *>(cuda_malloc_with_size_tracking_async(
num_radix_blocks * (compression_params.small_lwe_dimension + 1) *
sizeof(Torus),
@@ -28,7 +38,7 @@ template <typename Torus> struct int_compression {
allocate_gpu_memory));
tmp_glwe_array_out =
static_cast<Torus *>(cuda_malloc_with_size_tracking_async(
lwe_per_glwe * glwe_accumulator_size * sizeof(Torus),
max_num_glwes * glwe_accumulator_size * sizeof(Torus),
streams.stream(0), streams.gpu_index(0), size_tracker,
allocate_gpu_memory));

View File

@@ -349,6 +349,7 @@ struct int_radix_lut_custom_input_output {
CudaStreamsBarrier multi_gpu_scatter_barrier, multi_gpu_broadcast_barrier;
CudaStreamsBarrier multi_gpu_gather_barrier;
CudaEventPool event_pool;
// Setup the LUT configuration:
// input_big_lwe_dimension: BIG LWE dimension of the KS output / PBS input
@@ -865,6 +866,7 @@ struct int_radix_lut_custom_input_output {
if (active_streams.count() > 1) {
active_streams.synchronize();
event_pool.release();
multi_gpu_gather_barrier.release();
multi_gpu_broadcast_barrier.release();
multi_gpu_scatter_barrier.release();

View File

@@ -1,24 +0,0 @@
#ifndef TRIVIUM_H
#define TRIVIUM_H
#include "../integer/integer.h"
extern "C" {
uint64_t scratch_cuda_trivium_64(
CudaStreamsFFI streams, int8_t **mem_ptr, uint32_t glwe_dimension,
uint32_t polynomial_size, uint32_t lwe_dimension, uint32_t ks_level,
uint32_t ks_base_log, uint32_t pbs_level, uint32_t pbs_base_log,
uint32_t grouping_factor, uint32_t message_modulus, uint32_t carry_modulus,
PBS_TYPE pbs_type, bool allocate_gpu_memory,
PBS_MS_REDUCTION_T noise_reduction_type, uint32_t num_inputs);
void cuda_trivium_generate_keystream_64(
CudaStreamsFFI streams, CudaRadixCiphertextFFI *keystream_output,
const CudaRadixCiphertextFFI *key, const CudaRadixCiphertextFFI *iv,
uint32_t num_inputs, uint32_t num_steps, int8_t *mem_ptr, void *const *bsks,
void *const *ksks);
void cleanup_cuda_trivium_64(CudaStreamsFFI streams, int8_t **mem_ptr_void);
}
#endif

View File

@@ -1,305 +0,0 @@
#ifndef TRIVIUM_UTILITIES_H
#define TRIVIUM_UTILITIES_H
#include "../integer/integer_utilities.h"
/// Struct to hold the LUTs.
template <typename Torus> struct int_trivium_lut_buffers {
// Bivariate AND Gate LUT:
// AND operation: f(a, b) = (a & 1) & (b & 1).
// This is a Bivariate PBS used for the non-linear parts of Trivium.
int_radix_lut<Torus> *and_lut;
// Univariate Identity LUT:
// MESSAGE EXTRACTION operation: f(x) = x & 1.
// This is a Univariate PBS used to "flush" the state: it resets the noise
// after additions and ensures the message stays within the binary message
// space.
int_radix_lut<Torus> *flush_lut;
int_trivium_lut_buffers(CudaStreams streams, const int_radix_params &params,
bool allocate_gpu_memory, uint32_t num_trivium_inputs,
uint64_t &size_tracker) {
constexpr uint32_t BATCH_SIZE = 64;
constexpr uint32_t MAX_AND_PER_STEP = 3;
uint32_t total_lut_ops = num_trivium_inputs * BATCH_SIZE * MAX_AND_PER_STEP;
this->and_lut = new int_radix_lut<Torus>(streams, params, 1, total_lut_ops,
allocate_gpu_memory, size_tracker);
std::function<Torus(Torus, Torus)> and_lambda =
[](Torus a, Torus b) -> Torus { return (a & 1) & (b & 1); };
generate_device_accumulator_bivariate<Torus>(
streams.stream(0), streams.gpu_index(0), this->and_lut->get_lut(0, 0),
this->and_lut->get_degree(0), this->and_lut->get_max_degree(0),
params.glwe_dimension, params.polynomial_size, params.message_modulus,
params.carry_modulus, and_lambda, allocate_gpu_memory);
auto active_streams_and =
streams.active_gpu_subset(total_lut_ops, params.pbs_type);
this->and_lut->broadcast_lut(active_streams_and);
this->and_lut->setup_gemm_batch_ks_temp_buffers(size_tracker);
uint32_t total_flush_ops = num_trivium_inputs * BATCH_SIZE * 4;
this->flush_lut = new int_radix_lut<Torus>(
streams, params, 1, total_flush_ops, allocate_gpu_memory, size_tracker);
std::function<Torus(Torus)> flush_lambda = [](Torus x) -> Torus {
return x & 1;
};
generate_device_accumulator(
streams.stream(0), streams.gpu_index(0), this->flush_lut->get_lut(0, 0),
this->flush_lut->get_degree(0), this->flush_lut->get_max_degree(0),
params.glwe_dimension, params.polynomial_size, params.message_modulus,
params.carry_modulus, flush_lambda, allocate_gpu_memory);
auto active_streams_flush =
streams.active_gpu_subset(total_flush_ops, params.pbs_type);
this->flush_lut->broadcast_lut(active_streams_flush);
this->flush_lut->setup_gemm_batch_ks_temp_buffers(size_tracker);
}
void release(CudaStreams streams) {
this->and_lut->release(streams);
delete this->and_lut;
this->and_lut = nullptr;
this->flush_lut->release(streams);
delete this->flush_lut;
this->flush_lut = nullptr;
}
};
/// Struct to hold the state and temporary workspaces required for
/// Trivium execution on the GPU.
///
/// This struct manages the memory for the internal registers (A, B, C),
/// temporary buffers used during the update function, and buffers used for
/// packing data before and after PBS.
template <typename Torus> struct int_trivium_state_workspaces {
// Trivium Internal State Registers:
// Register A: 93 bits
CudaRadixCiphertextFFI *a_reg;
// Register B: 84 bits
CudaRadixCiphertextFFI *b_reg;
// Register C: 111 bits
CudaRadixCiphertextFFI *c_reg;
// Shift Workspace:
// Used to manage bitshifting operations on the registers
CudaRadixCiphertextFFI *shift_workspace;
// Temporary Update Buffers:
// Intermediate buffers for the trivium update logic (t1, t2, t3)
CudaRadixCiphertextFFI *temp_t1;
CudaRadixCiphertextFFI *temp_t2;
CudaRadixCiphertextFFI *temp_t3;
// Buffers to hold the new values for the registers after an update step
CudaRadixCiphertextFFI *new_a;
CudaRadixCiphertextFFI *new_b;
CudaRadixCiphertextFFI *new_c;
// PBS Packing Buffers:
// Buffers for packing inputs into the bivariate lookup table (AND gate)
CudaRadixCiphertextFFI *packed_pbs_lhs;
CudaRadixCiphertextFFI *packed_pbs_rhs;
// Buffer for the output of the bivariate PBS
CudaRadixCiphertextFFI *packed_pbs_out;
// Flush/Cleanup Packing Buffers:
// Buffers for the "flush" LUT which cleans up noise after additions
CudaRadixCiphertextFFI *packed_flush_in;
CudaRadixCiphertextFFI *packed_flush_out;
int_trivium_state_workspaces(CudaStreams streams,
const int_radix_params &params,
bool allocate_gpu_memory, uint32_t num_inputs,
uint64_t &size_tracker) {
this->a_reg = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->a_reg, 93 * num_inputs,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->b_reg = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->b_reg, 84 * num_inputs,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->c_reg = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->c_reg, 111 * num_inputs,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->shift_workspace = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->shift_workspace,
128 * num_inputs, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
uint32_t batch_blocks = 64 * num_inputs;
this->temp_t1 = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->temp_t1, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->temp_t2 = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->temp_t2, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->temp_t3 = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->temp_t3, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->new_a = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->new_a, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->new_b = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->new_b, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->new_c = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->new_c, batch_blocks,
params.big_lwe_dimension, size_tracker, allocate_gpu_memory);
this->packed_pbs_lhs = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->packed_pbs_lhs,
3 * batch_blocks, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
this->packed_pbs_rhs = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->packed_pbs_rhs,
3 * batch_blocks, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
this->packed_pbs_out = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->packed_pbs_out,
3 * batch_blocks, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
this->packed_flush_in = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->packed_flush_in,
4 * batch_blocks, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
this->packed_flush_out = new CudaRadixCiphertextFFI;
create_zero_radix_ciphertext_async<Torus>(
streams.stream(0), streams.gpu_index(0), this->packed_flush_out,
4 * batch_blocks, params.big_lwe_dimension, size_tracker,
allocate_gpu_memory);
}
void release(CudaStreams streams, bool allocate_gpu_memory) {
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->a_reg, allocate_gpu_memory);
delete this->a_reg;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->b_reg, allocate_gpu_memory);
delete this->b_reg;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->c_reg, allocate_gpu_memory);
delete this->c_reg;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->shift_workspace, allocate_gpu_memory);
delete this->shift_workspace;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->temp_t1, allocate_gpu_memory);
delete this->temp_t1;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->temp_t2, allocate_gpu_memory);
delete this->temp_t2;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->temp_t3, allocate_gpu_memory);
delete this->temp_t3;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->new_a, allocate_gpu_memory);
delete this->new_a;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->new_b, allocate_gpu_memory);
delete this->new_b;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->new_c, allocate_gpu_memory);
delete this->new_c;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->packed_pbs_lhs, allocate_gpu_memory);
delete this->packed_pbs_lhs;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->packed_pbs_rhs, allocate_gpu_memory);
delete this->packed_pbs_rhs;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->packed_pbs_out, allocate_gpu_memory);
delete this->packed_pbs_out;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->packed_flush_in, allocate_gpu_memory);
delete this->packed_flush_in;
release_radix_ciphertext_async(streams.stream(0), streams.gpu_index(0),
this->packed_flush_out, allocate_gpu_memory);
delete this->packed_flush_out;
}
};
template <typename Torus> struct int_trivium_buffer {
int_radix_params params;
bool allocate_gpu_memory;
uint32_t num_inputs;
int_trivium_lut_buffers<Torus> *luts;
int_trivium_state_workspaces<Torus> *state;
int_trivium_buffer(CudaStreams streams, const int_radix_params &params,
bool allocate_gpu_memory, uint32_t num_inputs,
uint64_t &size_tracker) {
this->params = params;
this->allocate_gpu_memory = allocate_gpu_memory;
this->num_inputs = num_inputs;
this->luts = new int_trivium_lut_buffers<Torus>(
streams, params, allocate_gpu_memory, num_inputs, size_tracker);
this->state = new int_trivium_state_workspaces<Torus>(
streams, params, allocate_gpu_memory, num_inputs, size_tracker);
}
void release(CudaStreams streams) {
luts->release(streams);
delete luts;
luts = nullptr;
state->release(streams, allocate_gpu_memory);
delete state;
state = nullptr;
cuda_synchronize_stream(streams.stream(0), streams.gpu_index(0));
}
};
#endif

View File

@@ -14,10 +14,10 @@ uint64_t scratch_cuda_expand_without_verification_64(
uint32_t casting_output_dimension, uint32_t casting_ks_level,
uint32_t casting_ks_base_log, uint32_t pbs_level, uint32_t pbs_base_log,
uint32_t grouping_factor, const uint32_t *num_lwes_per_compact_list,
const bool *is_boolean_array, uint32_t num_compact_lists,
uint32_t message_modulus, uint32_t carry_modulus, PBS_TYPE pbs_type,
KS_TYPE casting_key_type, bool allocate_gpu_memory,
PBS_MS_REDUCTION_T noise_reduction_type);
const bool *is_boolean_array, const uint32_t is_boolean_array_len,
uint32_t num_compact_lists, uint32_t message_modulus,
uint32_t carry_modulus, PBS_TYPE pbs_type, KS_TYPE casting_key_type,
bool allocate_gpu_memory, PBS_MS_REDUCTION_T noise_reduction_type);
void cuda_expand_without_verification_64(
CudaStreamsFFI streams, void *lwe_array_out,

View File

@@ -118,7 +118,8 @@ template <typename Torus> struct zk_expand_mem {
zk_expand_mem(CudaStreams streams, int_radix_params computing_params,
int_radix_params casting_params, KS_TYPE casting_key_type,
const uint32_t *num_lwes_per_compact_list,
const bool *is_boolean_array, uint32_t num_compact_lists,
const bool *is_boolean_array,
const uint32_t is_boolean_array_len, uint32_t num_compact_lists,
bool allocate_gpu_memory, uint64_t &size_tracker)
: computing_params(computing_params), casting_params(casting_params),
num_compact_lists(num_compact_lists),
@@ -270,14 +271,36 @@ template <typename Torus> struct zk_expand_mem {
for (int i = 0; i < num_packed_msgs * num_lwes_in_kth; i++) {
auto lwe_index = i + num_packed_msgs * offset;
auto lwe_index_in_list = i % num_lwes_in_kth;
PANIC_IF_FALSE(lwe_index < num_packed_msgs * num_lwes,
"Cuda error: index %d is beyond the max value %d",
lwe_index, num_packed_msgs * num_lwes);
h_indexes_in[lwe_index] = lwe_index_in_list + offset;
h_indexes_out[lwe_index] =
num_packed_msgs * h_indexes_in[lwe_index] + i / num_lwes_in_kth;
// If the input relates to a boolean, shift the LUT so the correct one
// with sanitization is used
PANIC_IF_FALSE(h_indexes_in[lwe_index] < num_packed_msgs * num_lwes,
"Cuda error: index %d is beyond the max value %d",
h_indexes_in[lwe_index], num_packed_msgs * num_lwes);
PANIC_IF_FALSE(h_indexes_out[lwe_index] < num_packed_msgs * num_lwes,
"Cuda error: index %d is beyond the max value %d",
h_indexes_out[lwe_index], num_packed_msgs * num_lwes);
// is_boolean_array tells us which input is a boolean and thus the
// related output needs boolean sanitization. It naturally has
// total_blocks entries, but h_indexes_out reaches
// message_modulus * ceil(total_blocks/2) - 1. When total_blocks is odd,
// the ceiling causes out-of-bounds access. Reading garbage "true" would
// set h_lut_indexes to an invalid index pointing to uninitialized
// memory instead of a real LUT. Rust pads is_boolean_array with FALSE
// to match.
PANIC_IF_FALSE(h_indexes_out[lwe_index] < is_boolean_array_len,
"Cuda error: index %d for is_boolean_array is out of "
"bounds (len is %d)",
h_indexes_out[lwe_index], is_boolean_array_len);
auto boolean_offset =
is_boolean_array[h_indexes_out[lwe_index]] ? num_packed_msgs : 0;
h_lut_indexes[lwe_index] = i / num_lwes_in_kth + boolean_offset;
PANIC_IF_FALSE(
h_lut_indexes[lwe_index] < 4,
"Cuda error: lut index is greater than the max possible value (3)");
}
offset += num_lwes_in_kth;
}

View File

@@ -6,6 +6,14 @@
#include <cuda_profiler_api.h>
#endif
void validate_device_ptr(const void *ptr, uint32_t gpu_index) {
cudaPointerAttributes attr;
check_cuda_error(cudaPointerGetAttributes(&attr, ptr));
if (attr.device != gpu_index || attr.type != cudaMemoryTypeDevice) {
PANIC("Cuda error: invalid device pointer.")
}
}
uint32_t cuda_get_device() {
int device;
check_cuda_error(cudaGetDevice(&device));
@@ -30,8 +38,9 @@ bool mem_pools_enabled = false;
// better results.
void cuda_setup_mempool(uint32_t caller_gpu_index) {
if (!mem_pools_enabled) {
pool_mutex.lock();
if (mem_pools_enabled)
std::lock_guard lock(pool_mutex);
if (mem_pools_enabled) // double-check - mem_pools_enabled might have been
// changed in a different thread
return; // If mem pools are already enabled, we don't need to do anything
// We do it only once for all GPUs
@@ -78,7 +87,6 @@ void cuda_setup_mempool(uint32_t caller_gpu_index) {
}
// We return to the original gpu_index
cuda_set_device(caller_gpu_index);
pool_mutex.unlock();
}
}
@@ -234,7 +242,14 @@ bool cuda_check_support_thread_block_clusters() {
#endif
}
/// Copy memory to the GPU asynchronously
/// Copy memory from the CPU to a GPU with size tracking.
/// This copy is asynchronous only if the CPU memory was pinned, i.e.
/// allocated using cudaMallocHost. This was shown to come with a performance
/// penalty if we allocate all CPU data in this way in the backend, so
/// cudaMallocHost is only used in specific places where we need an
/// asynchronous data copy from the CPU to all the GPUs simultaneously (for
/// example to copy the bootstrapping key).
/// The copy only happens if gpu_memory_allocated is true.
void cuda_memcpy_with_size_tracking_async_to_gpu(void *dest, const void *src,
uint64_t size,
cudaStream_t stream,
@@ -242,25 +257,28 @@ void cuda_memcpy_with_size_tracking_async_to_gpu(void *dest, const void *src,
bool gpu_memory_allocated) {
if (size == 0 || !gpu_memory_allocated)
return;
cudaPointerAttributes attr;
check_cuda_error(cudaPointerGetAttributes(&attr, dest));
if (attr.device != gpu_index && attr.type != cudaMemoryTypeDevice) {
PANIC("Cuda error: invalid device pointer in async copy to GPU.")
}
validate_device_ptr(dest, gpu_index);
cuda_set_device(gpu_index);
check_cuda_error(
cudaMemcpyAsync(dest, src, size, cudaMemcpyHostToDevice, stream));
}
/// Copy memory to the GPU asynchronously
/// Copy memory from the CPU to a GPU.
/// This copy is asynchronous only if the CPU memory was pinned, i.e.
/// allocated using cudaMallocHost. This was shown to come with a performance
/// penalty if we allocate all CPU data in this way in the backend, so
/// cudaMallocHost is only used in specific places where we need an
/// asynchronous data copy from the CPU to all the GPUs simultaneously (for
/// example to copy the bootstrapping key).
void cuda_memcpy_async_to_gpu(void *dest, const void *src, uint64_t size,
cudaStream_t stream, uint32_t gpu_index) {
cuda_memcpy_with_size_tracking_async_to_gpu(dest, src, size, stream,
gpu_index, true);
}
/// Copy memory within a GPU asynchronously
/// Copy memory within a GPU asynchronously.
/// The copy only happens if gpu_memory_allocated is true
void cuda_memcpy_with_size_tracking_async_gpu_to_gpu(
void *dest, void const *src, uint64_t size, cudaStream_t stream,
uint32_t gpu_index, bool gpu_memory_allocated) {
@@ -327,21 +345,20 @@ void cuda_synchronize_device(uint32_t gpu_index) {
check_cuda_error(cudaDeviceSynchronize());
}
/// cuda_memset sets bytes, we basically only use it to initialize data to 0
/// The memset only happens if gpu_memory_allocated is true
void cuda_memset_with_size_tracking_async(void *dest, uint64_t val,
uint64_t size, cudaStream_t stream,
uint32_t gpu_index,
bool gpu_memory_allocated) {
if (size == 0 || !gpu_memory_allocated)
return;
cudaPointerAttributes attr;
check_cuda_error(cudaPointerGetAttributes(&attr, dest));
if (attr.device != gpu_index && attr.type != cudaMemoryTypeDevice) {
PANIC("Cuda error: invalid dest device pointer in cuda memset.")
}
validate_device_ptr(dest, gpu_index);
cuda_set_device(gpu_index);
check_cuda_error(cudaMemsetAsync(dest, val, size, stream));
}
/// cuda_memset sets bytes, we basically only use it to initialize data to 0
void cuda_memset_async(void *dest, uint64_t val, uint64_t size,
cudaStream_t stream, uint32_t gpu_index) {
cuda_memset_with_size_tracking_async(dest, val, size, stream, gpu_index,
@@ -384,15 +401,14 @@ template void cuda_set_value_async(cudaStream_t stream, uint32_t gpu_index,
uint32_t n);
/// Copy memory to the CPU asynchronously
/// This comes with a big penalty on performance even if the CPU
/// memory is pinned (using cudaMallocHost for the CPU allocation),
/// so it should be avoided at all costs
void cuda_memcpy_async_to_cpu(void *dest, const void *src, uint64_t size,
cudaStream_t stream, uint32_t gpu_index) {
if (size == 0)
return;
cudaPointerAttributes attr;
check_cuda_error(cudaPointerGetAttributes(&attr, src));
if (attr.device != gpu_index && attr.type != cudaMemoryTypeDevice) {
PANIC("Cuda error: invalid src device pointer in copy to CPU async.")
}
validate_device_ptr(src, gpu_index);
cuda_set_device(gpu_index);
check_cuda_error(

View File

@@ -68,9 +68,15 @@ struct alignas(16) f128 {
auto t = two_sum(a.lo, b.lo);
double hi = s.hi;
#ifdef __CUDA_ARCH__
double lo = __dadd_rn(s.lo, t.hi);
hi = __dadd_rn(hi, lo);
lo = __dsub_rn(lo, __dsub_rn(hi, s.hi));
#else
double lo = s.lo + t.hi;
hi = hi + lo;
lo = lo - (hi - s.hi);
#endif
return f128(hi, lo + t.lo);
}
@@ -104,8 +110,13 @@ struct alignas(16) f128 {
__host__ __device__ static f128 sub(const f128 &a, const f128 &b) {
auto s = two_diff(a.hi, b.hi);
auto t = two_diff(a.lo, b.lo);
#ifdef __CUDA_ARCH__
s = quick_two_sum(s.hi, __dadd_rn(s.lo, t.hi));
return quick_two_sum(s.hi, __dadd_rn(s.lo, t.lo));
#else
s = quick_two_sum(s.hi, s.lo + t.hi);
return quick_two_sum(s.hi, s.lo + t.lo);
#endif
}
// Multiplication
@@ -220,16 +231,16 @@ struct f128x2 {
// Subtraction
__host__ __device__ friend f128x2 operator-(const f128x2 &a,
const f128x2 &b) {
return f128x2(f128::add(a.re, f128(-b.re.hi, -b.re.lo)),
f128::add(a.im, f128(-b.im.hi, -b.im.lo)));
return f128x2(f128::sub_estimate(a.re, b.re),
f128::sub_estimate(a.im, b.im));
}
// Multiplication (complex multiplication)
__host__ __device__ friend f128x2 operator*(const f128x2 &a,
const f128x2 &b) {
const f128 a_im_b_im = f128::mul(a.im, b.im);
f128 real_part =
f128::add(f128::mul(a.re, b.re),
f128(-f128::mul(a.im, b.im).hi, -f128::mul(a.im, b.im).lo));
f128::add(f128::mul(a.re, b.re), f128(-a_im_b_im.hi, -a_im_b_im.lo));
f128 imag_part = f128::add(f128::mul(a.re, b.im), f128::mul(a.im, b.re));
return f128x2(real_part, imag_part);
}
@@ -243,8 +254,8 @@ struct f128x2 {
// Subtraction-assignment operator
__host__ __device__ f128x2 &operator-=(const f128x2 &other) {
re = f128::add(re, f128(-other.re.hi, -other.re.lo));
im = f128::add(im, f128(-other.im.hi, -other.im.lo));
re = f128::sub_estimate(re, other.re);
im = f128::sub_estimate(im, other.im);
return *this;
}
@@ -261,12 +272,20 @@ struct f128x2 {
};
__host__ __device__ inline uint64_t double_to_bits(double d) {
#ifdef __CUDA_ARCH__
uint64_t bits = __double_as_longlong(d);
#else
uint64_t bits = *reinterpret_cast<uint64_t *>(&d);
#endif
return bits;
}
__host__ __device__ inline double bits_to_double(uint64_t bits) {
#ifdef __CUDA_ARCH__
double d = __longlong_as_double(bits);
#else
double d = *reinterpret_cast<double *>(&bits);
#endif
return d;
}
@@ -275,6 +294,8 @@ __host__ __device__ inline double u128_to_f64(__uint128_t x) {
const double A = ONE << 52;
const double B = ONE << 104;
const double C = ONE << 76;
// NOTE: for some reason __longlong_as_double(0x37f0000000000000ULL)
// does not work here
const double D = 340282366920938500000000000000000000000.;
const __uint128_t threshold = (ONE << 104);
@@ -288,15 +309,20 @@ __host__ __device__ inline double u128_to_f64(__uint128_t x) {
uint64_t bits_l = A_bits | lower64;
double l_temp = bits_to_double(bits_l);
double l = l_temp - A;
uint64_t B_bits = double_to_bits(B);
uint64_t top64 = static_cast<uint64_t>(x >> 52);
uint64_t bits_h = B_bits | top64;
double h_temp = bits_to_double(bits_h);
#ifdef __CUDA_ARCH__
return __dadd_rn(__dsub_rn(l_temp, A), __dsub_rn(h_temp, B));
#else
double l = l_temp - A;
double h = h_temp - B;
return (l + h);
#endif
} else {
uint64_t C_bits = double_to_bits(C);
@@ -310,15 +336,20 @@ __host__ __device__ inline double u128_to_f64(__uint128_t x) {
uint64_t bits_l = C_bits | lower64 | mask_part;
double l_temp = bits_to_double(bits_l);
double l = l_temp - C;
uint64_t D_bits = double_to_bits(D);
uint64_t top64 = static_cast<uint64_t>(x >> 76);
uint64_t bits_h = D_bits | top64;
double h_temp = bits_to_double(bits_h);
#ifdef __CUDA_ARCH__
return __dadd_rn(__dsub_rn(l_temp, C), __dsub_rn(h_temp, D));
#else
double l = l_temp - C;
double h = h_temp - D;
return (l + h);
#endif
}
}
@@ -389,6 +420,8 @@ __host__ __device__ inline f128 u128_to_signed_to_f128(__uint128_t x) {
__host__ __device__ inline __uint128_t u128_from_torus_f128(const f128 &a) {
auto x = f128::sub_estimate(a, f128::f128_floor(a));
// NOTE: for some reason __longlong_as_double(0x37f0000000000000ULL)
// does not work here
const double normalization = 340282366920938500000000000000000000000.;
#ifdef __CUDA_ARCH__
x.hi = __dmul_rn(x.hi, normalization);
@@ -398,7 +431,7 @@ __host__ __device__ inline __uint128_t u128_from_torus_f128(const f128 &a) {
x.lo *= normalization;
#endif
// TODO has to be round
x = f128::add_estimate(x, f128(0.5, 0.0));
x = f128::f128_floor(x);
__uint128_t x0 = f64_to_u128(x.hi);

View File

@@ -12,8 +12,9 @@
using Index = unsigned;
#define NEG_TWID(i) \
f128x2(f128(neg_twiddles_re_hi[(i)], neg_twiddles_re_lo[(i)]), \
f128(neg_twiddles_im_hi[(i)], neg_twiddles_im_lo[(i)]))
f128x2( \
f128(__ldg(&neg_twiddles_re_hi[(i)]), __ldg(&neg_twiddles_re_lo[(i)])), \
f128(__ldg(&neg_twiddles_im_hi[(i)]), __ldg(&neg_twiddles_im_lo[(i)])))
#define F64x4_TO_F128x2(f128x2_reg, ind) \
f128x2_reg.re.hi = dt_re_hi[ind]; \
@@ -218,7 +219,7 @@ __device__ void convert_u128_to_f128_as_torus(
double *out_re_hi, double *out_re_lo, double *out_im_hi, double *out_im_lo,
const __uint128_t *in_re, const __uint128_t *in_im) {
const double normalization = pow(2., -128.);
const double normalization = __longlong_as_double(0x37f0000000000000ULL);
Index tid = threadIdx.x;
// #pragma unroll
for (Index i = 0; i < params::opt / 2; i++) {
@@ -241,7 +242,7 @@ __device__ void convert_u128_on_regs_to_f128_as_torus(
double *out_re_hi, double *out_re_lo, double *out_im_hi, double *out_im_lo,
const __uint128_t *in_re_on_regs, const __uint128_t *in_im_on_regs) {
const double normalization = pow(2., -128.);
const double normalization = __longlong_as_double(0x37f0000000000000ULL);
Index tid = threadIdx.x;
// #pragma unroll
for (Index i = 0; i < params::opt / 2; i++) {

View File

@@ -12,6 +12,121 @@
#include "polynomial/functions.cuh"
#include "utils/kernel_dimensions.cuh"
/*
* =============================================================================
* GPU Compression/Decompression Algorithm: Overview
* =============================================================================
*
* The compression algorithm transforms standard LWE ciphertexts into a compact
* packed format. Decompression reverses this process.
*
* -----------------------------------------------------------------------------
* COMPRESSION INPUT (lwe_array_in)
* -----------------------------------------------------------------------------
*
* +-------------------------------------------------------------------------+
* | lwe_array_in (GPU memory) |
* +-------------------------------------------------------------------------+
* +---------------------------+---------------------------+-----------------+
* | LWE 0 | LWE 1 | ... |
* | [mask, body] | [mask, body] | |
* +---------------------------+---------------------------+-----------------+
* |<-- lwe_dimension + 1 -->|
*
* Total LWEs: total_lwe_bodies_count (num_radix_blocks)
*
* -----------------------------------------------------------------------------
* COMPRESSION PROCESS
* -----------------------------------------------------------------------------
*
* 1. Message Shift (64-bit only):
* Each LWE is multiplied by message_modulus to shift the message to MSB
*
* 2. Packing Keyswitch (LWE -> GLWE):
* Groups of up to lwe_per_glwe LWEs are packed into a single GLWE:
*
* +--------------------------------------------------------------+
* | lwe_per_glwe LWEs (input batch) |
* | LWE[0], LWE[1], ..., LWE[lwe_per_glwe-1] |
* +--------------------------------------------------------------+
* |
* Packing Keyswitch
* v
* +--------------------------------------------------------------+
* | Single GLWE Ciphertext |
* | [A_0, A_1, ..., A_{k-1}, B] |
* | |<-- k * polynomial_size -->| |<-- polynomial_size -->| |
* +--------------------------------------------------------------+
*
* Number of output GLWEs: num_glwes = ceil(total_lwe_bodies_count /
* lwe_per_glwe)
*
* 3. Modulus Switch:
* Reduce precision from 64-bit torus to storage_log_modulus bits
*
* 4. Bit Packing:
* Pack multiple reduced-precision elements into dense bit representation
*
* -----------------------------------------------------------------------------
* COMPRESSION MEMORY LAYOUT (tmp_glwe_array_out)
* -----------------------------------------------------------------------------
*
* +-------------------------------------------------------------------------+
* | tmp_glwe_array_out (intermediate buffer) |
* +-------------------------------------------------------------------------+
* +----------------------------+----------------------------+---------------+
* | GLWE 0 | GLWE 1 | ... |
* | [A_0..A_{k-1}, B_0..B_N] | [A_0..A_{k-1}, B_0..B_N] | |
* +----------------------------+----------------------------+---------------+
* |<-- glwe_accumulator_size = (k+1)*N -->|
*
* Total size needed: num_glwes * glwe_accumulator_size elements
* Where: num_glwes = ceil(total_lwe_bodies_count / lwe_per_glwe)
*
* -----------------------------------------------------------------------------
* PACKED OUTPUT (glwe_array_out)
* -----------------------------------------------------------------------------
*
* +-------------------------------------------------------------------------+
* | Packed GLWE Ciphertext List (bit-packed) |
* +-------------------------------------------------------------------------+
* +-------------------------------------------------------------------------+
* | Elements packed with storage_log_modulus bits per original element |
* | Total packed size: ceil(in_len * storage_log_modulus / 64) elements |
* +-------------------------------------------------------------------------+
*
* =============================================================================
* DECOMPRESSION (Extract) Algorithm
* =============================================================================
*
* Decompression receives an array of LWE indexes. For each index, it identifies
* the corresponding GLWE, extracts that GLWE from the packed representation,
* and then sample-extracts the requested LWE from the GLWE.
*
* -----------------------------------------------------------------------------
* EXTRACT OUTPUT LAYOUT (glwe_array_out in host_extract)
* -----------------------------------------------------------------------------
*
* +-------------------------------------------------------------------------+
* | Extracted GLWE Ciphertext |
* +-------------------------------------------------------------------------+
* +---------------------------------------+-----------------+---------------+
* | Mask (A polynomials) | Body (B) | Tail |
* | [A_0, ..., A_{k-1}] | (body_count) | (zeroed) |
* | k * polynomial_size elements | elements | elements |
* +---------------------------------------+-----------------+---------------+
* |<------------------- initial_out_len ------------------->| |
* |<------------------------ glwe_ciphertext_size ------------------------->|
*
* For the last GLWE, body_count may be less than polynomial_size (partial).
* The tail region must be zeroed to ensure defined behavior.
*
* tail_size = glwe_ciphertext_size - initial_out_len
* tail_offset = initial_out_len (NOT 0!)
*
* =============================================================================
*/
template <typename Torus>
__global__ void pack(Torus *array_out, Torus *array_in, uint32_t log_modulus,
uint32_t num_coeffs, uint32_t in_len, uint32_t out_len) {
@@ -108,6 +223,8 @@ host_integer_compress(CudaStreams streams,
uint32_t num_glwes = (glwe_array_out->total_lwe_bodies_count +
glwe_array_out->lwe_per_glwe - 1) /
glwe_array_out->lwe_per_glwe;
PANIC_IF_FALSE(num_glwes <= mem_ptr->max_num_glwes,
"Invalid number of GLWEs");
// Keyswitch LWEs to GLWE
auto tmp_glwe_array_out = mem_ptr->tmp_glwe_array_out;
@@ -136,9 +253,9 @@ host_integer_compress(CudaStreams streams,
}
// Modulus switch
uint32_t size = num_glwes * compression_params.glwe_dimension *
compression_params.polynomial_size +
glwe_array_out->total_lwe_bodies_count;
int size = num_glwes * compression_params.glwe_dimension *
compression_params.polynomial_size +
glwe_array_out->total_lwe_bodies_count;
host_modulus_switch_inplace<Torus>(streams.stream(0), streams.gpu_index(0),
tmp_glwe_array_out, size,
@@ -229,8 +346,11 @@ __host__ void host_extract(cudaStream_t stream, uint32_t gpu_index,
auto chunk_array_in = (Torus *)array_in->ptr + glwe_index * len;
// Ensure the tail of the GLWE is zeroed
// The extract kernel writes initial_out_len elements starting at offset 0.
// We must zero the tail region (from initial_out_len to
// glwe_ciphertext_size)
if (initial_out_len < glwe_ciphertext_size) {
cuda_memset_async(glwe_array_out, 0,
cuda_memset_async(glwe_array_out + initial_out_len, 0,
(glwe_ciphertext_size - initial_out_len) * sizeof(Torus),
stream, gpu_index);
}
@@ -368,7 +488,7 @@ host_integer_decompress(CudaStreams streams,
/// gather data to GPU 0 we can copy back to the original indexing
multi_gpu_scatter_lwe_async<Torus>(
active_streams, lwe_array_in_vec, extracted_lwe, lut->lwe_indexes_in,
lut->using_trivial_lwe_indexes, lut->lwe_aligned_vec,
lut->using_trivial_lwe_indexes, lut->lwe_aligned_vec, lut->event_pool,
lut->active_streams.count(), num_blocks_to_decompress,
compression_params.small_lwe_dimension + 1);
@@ -388,7 +508,7 @@ host_integer_decompress(CudaStreams streams,
multi_gpu_gather_lwe_async<Torus>(
active_streams, (Torus *)d_lwe_array_out->ptr, lwe_after_pbs_vec,
lut->lwe_indexes_out, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, num_blocks_to_decompress,
lut->lwe_aligned_vec, lut->event_pool, num_blocks_to_decompress,
encryption_params.big_lwe_dimension + 1);
/// Synchronize all GPUs

View File

@@ -570,8 +570,8 @@ __host__ void integer_radix_apply_univariate_lookup_table(
multi_gpu_scatter_lwe_async<Torus>(
active_streams, lwe_array_in_vec, (Torus *)lwe_array_in->ptr,
lut->lwe_indexes_in, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, lut->active_streams.count(), num_radix_blocks,
big_lwe_dimension + 1);
lut->lwe_aligned_vec, lut->event_pool, lut->active_streams.count(),
num_radix_blocks, big_lwe_dimension + 1);
POP_RANGE()
/// Apply KS to go from a big LWE dimension to a small LWE dimension
execute_keyswitch_async<Torus>(
@@ -594,7 +594,8 @@ __host__ void integer_radix_apply_univariate_lookup_table(
multi_gpu_gather_lwe_async<Torus>(
active_streams, (Torus *)lwe_array_out->ptr, lwe_after_pbs_vec,
lut->lwe_indexes_out, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, num_radix_blocks, big_lwe_dimension + 1);
lut->lwe_aligned_vec, lut->event_pool, num_radix_blocks,
big_lwe_dimension + 1);
POP_RANGE()
lut->multi_gpu_gather_barrier.stream_0_wait_for_local_streams(
active_streams);
@@ -674,8 +675,8 @@ __host__ void integer_radix_apply_many_univariate_lookup_table(
multi_gpu_scatter_lwe_async<Torus>(
active_streams, lwe_array_in_vec, (Torus *)lwe_array_in->ptr,
lut->lwe_indexes_in, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, lut->active_streams.count(), num_radix_blocks,
big_lwe_dimension + 1);
lut->lwe_aligned_vec, lut->event_pool, lut->active_streams.count(),
num_radix_blocks, big_lwe_dimension + 1);
POP_RANGE()
/// Apply KS to go from a big LWE dimension to a small LWE dimension
execute_keyswitch_async<Torus>(
@@ -791,8 +792,8 @@ __host__ void integer_radix_apply_bivariate_lookup_table(
multi_gpu_scatter_lwe_async<Torus>(
active_streams, lwe_array_in_vec, (Torus *)lwe_array_pbs_in->ptr,
lut->lwe_indexes_in, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, lut->active_streams.count(), num_radix_blocks,
big_lwe_dimension + 1);
lut->lwe_aligned_vec, lut->event_pool, lut->active_streams.count(),
num_radix_blocks, big_lwe_dimension + 1);
POP_RANGE()
/// Apply KS to go from a big LWE dimension to a small LWE dimension
execute_keyswitch_async<Torus>(
@@ -815,7 +816,8 @@ __host__ void integer_radix_apply_bivariate_lookup_table(
multi_gpu_gather_lwe_async<Torus>(
active_streams, (Torus *)(lwe_array_out->ptr), lwe_after_pbs_vec,
lut->lwe_indexes_out, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, num_radix_blocks, big_lwe_dimension + 1);
lut->lwe_aligned_vec, lut->event_pool, num_radix_blocks,
big_lwe_dimension + 1);
POP_RANGE()
lut->multi_gpu_gather_barrier.stream_0_wait_for_local_streams(
active_streams);
@@ -2373,8 +2375,9 @@ integer_radix_apply_noise_squashing(CudaStreams streams,
multi_gpu_scatter_lwe_async<InputTorus>(
active_streams, lwe_array_in_vec, (InputTorus *)lwe_array_pbs_in->ptr,
lut->lwe_indexes_in, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_scatter_vec, lut->active_streams.count(),
lwe_array_out->num_radix_blocks, lut->input_big_lwe_dimension + 1);
lut->lwe_aligned_scatter_vec, lut->event_pool,
lut->active_streams.count(), lwe_array_out->num_radix_blocks,
lut->input_big_lwe_dimension + 1);
execute_keyswitch_async<InputTorus>(
active_streams, lwe_after_ks_vec, lwe_trivial_indexes_vec,
@@ -2397,7 +2400,8 @@ integer_radix_apply_noise_squashing(CudaStreams streams,
multi_gpu_gather_lwe_async<__uint128_t>(
active_streams, (__uint128_t *)lwe_array_out->ptr, lwe_after_pbs_vec,
nullptr, lut->using_trivial_lwe_indexes, lut->lwe_aligned_gather_vec,
lwe_array_out->num_radix_blocks, big_lwe_dimension + 1);
lut->event_pool, lwe_array_out->num_radix_blocks,
big_lwe_dimension + 1);
/// Synchronize all GPUs
streams.synchronize();

View File

@@ -54,7 +54,7 @@ void host_integer_grouped_oprf(CudaStreams streams,
PUSH_RANGE("scatter")
multi_gpu_scatter_lwe_async<Torus>(
active_streams, lwe_array_in_vec, seeded_lwe_input, lut->lwe_indexes_in,
lut->using_trivial_lwe_indexes, lut->lwe_aligned_vec,
lut->using_trivial_lwe_indexes, lut->lwe_aligned_vec, lut->event_pool,
active_streams.count(), num_blocks_to_process,
mem_ptr->params.small_lwe_dimension + 1);
POP_RANGE()
@@ -72,7 +72,7 @@ void host_integer_grouped_oprf(CudaStreams streams,
multi_gpu_gather_lwe_async<Torus>(
active_streams, (Torus *)radix_lwe_out->ptr, lwe_after_pbs_vec,
lut->lwe_indexes_out, lut->using_trivial_lwe_indexes,
lut->lwe_aligned_vec, num_blocks_to_process,
lut->lwe_aligned_vec, lut->event_pool, num_blocks_to_process,
mem_ptr->params.big_lwe_dimension + 1);
POP_RANGE()
lut->multi_gpu_gather_barrier.stream_0_wait_for_local_streams(

View File

@@ -211,6 +211,8 @@ __global__ void device_programmable_bootstrap_amortized(
// For the mask it's more complicated
sample_extract_mask<Torus, params>(block_lwe_array_out, accumulator,
glwe_dimension);
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator,
glwe_dimension);
}
@@ -303,7 +305,9 @@ __host__ void host_programmable_bootstrap_amortized(
int8_t *pbs_buffer, uint32_t glwe_dimension, uint32_t lwe_dimension,
uint32_t polynomial_size, uint32_t base_log, uint32_t level_count,
uint32_t input_lwe_ciphertext_count) {
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: Programmable bootstrap amortized only supports 64-bit "
"Torus type.");
uint64_t SM_FULL =
get_buffer_size_full_sm_programmable_bootstrap_amortized<Torus>(
polynomial_size, glwe_dimension);

View File

@@ -173,6 +173,7 @@ __global__ void device_programmable_bootstrap_cg(
}
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -184,7 +185,8 @@ __global__ void device_programmable_bootstrap_cg(
&next_lwe_array_out[lwe_output_indexes[blockIdx.x] *
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -247,7 +249,9 @@ __host__ void host_programmable_bootstrap_cg(
uint32_t lwe_dimension, uint32_t polynomial_size, uint32_t base_log,
uint32_t level_count, uint32_t input_lwe_ciphertext_count,
uint32_t num_many_lut, uint32_t lut_stride) {
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: Programmable bootstrap cg only supports 64-bit "
"Torus type.");
// With SM each block corresponds to either the mask or body, no need to
// duplicate data for each
uint64_t full_sm =

View File

@@ -151,9 +151,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -165,6 +164,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -302,7 +303,10 @@ __host__ void execute_cg_external_product_loop(
uint32_t level_count, uint32_t lwe_offset, uint32_t num_many_lut,
uint32_t lut_stride) {
cuda_set_device(gpu_index);
PANIC_IF_FALSE(
sizeof(Torus) == 8,
"Error: Programmable bootstrap multi-bit cg only supports 64-bit "
"Torus type.");
uint64_t full_sm =
get_buffer_size_full_sm_cg_multibit_programmable_bootstrap<Torus>(
polynomial_size);

View File

@@ -239,6 +239,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -251,6 +252,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -409,7 +412,9 @@ __host__ void execute_step_one(
uint32_t level_count, int8_t *d_mem, int lwe_iteration, uint64_t partial_sm,
uint64_t partial_dm, uint64_t full_sm, uint64_t full_dm,
PBS_MS_REDUCTION_T noise_reduction_type) {
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: Programmable bootstrap step one only supports 64-bit "
"Torus type.");
auto max_shared_memory = cuda_get_max_shared_memory(gpu_index);
cuda_set_device(gpu_index);
int thds = polynomial_size / params::opt;
@@ -451,7 +456,9 @@ __host__ void execute_step_two(
uint32_t level_count, int8_t *d_mem, int lwe_iteration, uint64_t partial_sm,
uint64_t partial_dm, uint64_t full_sm, uint64_t full_dm,
uint32_t num_many_lut, uint32_t lut_stride) {
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: Programmable bootstrap step two only supports 64-bit "
"Torus type.");
auto max_shared_memory = cuda_get_max_shared_memory(gpu_index);
cuda_set_device(gpu_index);
int thds = polynomial_size / params::opt;

View File

@@ -240,10 +240,13 @@ __global__ void __launch_bounds__(params::degree / params::opt)
// in case they're not synchronized
sample_extract_mask<Torus, params>(block_lwe_array_out, accumulator);
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
}
} else {
// Persist the updated accumulator
// We don't sync here because we use same indexes to read from `accumulator`
// as it was used in `add_to_torus_128` to write inside it Persist the
// updated accumulator
tid = threadIdx.x;
for (int i = 0; i < params::opt; i++) {
global_slice[tid] = accumulator[tid];
@@ -395,6 +398,7 @@ __global__ void device_programmable_bootstrap_cg_128(
accumulator);
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<__uint128_t, params>(block_lwe_array_out, accumulator,
0);
}

View File

@@ -461,6 +461,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
}
} else if (blockIdx.y == glwe_dimension) {
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(block_lwe_array_out, global_slice, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -473,6 +474,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(next_block_lwe_array_out,
global_slice, 0, i * lut_stride);
}
@@ -663,7 +665,9 @@ __host__ void execute_compute_keybundle(
uint32_t lwe_dimension, uint32_t glwe_dimension, uint32_t polynomial_size,
uint32_t grouping_factor, uint32_t level_count, uint32_t lwe_offset) {
cuda_set_device(gpu_index);
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: PBS keybundle only supports 64-bit "
"Torus type.");
auto lwe_chunk_size = buffer->lwe_chunk_size;
uint64_t chunk_size = std::min(
lwe_chunk_size, (uint64_t)(lwe_dimension / grouping_factor) - lwe_offset);
@@ -735,7 +739,10 @@ __host__ void execute_step_one(
uint32_t num_samples, uint32_t lwe_dimension, uint32_t glwe_dimension,
uint32_t polynomial_size, uint32_t base_log, uint32_t level_count) {
cuda_set_device(gpu_index);
PANIC_IF_FALSE(
sizeof(Torus) == 8,
"Error: Programmable bootstrap multi-bit step one only supports 64-bit "
"Torus type.");
uint64_t full_sm_accumulate_step_one =
get_buffer_size_full_sm_multibit_programmable_bootstrap_step_one<Torus>(
polynomial_size);
@@ -789,7 +796,10 @@ execute_step_two(cudaStream_t stream, uint32_t gpu_index, Torus *lwe_array_out,
uint32_t level_count, uint32_t j, uint32_t num_many_lut,
uint32_t lut_stride) {
cuda_set_device(gpu_index);
PANIC_IF_FALSE(
sizeof(Torus) == 8,
"Error: Programmable bootstrap multi-bit step two only supports 64-bit "
"Torus type.");
uint32_t lwe_chunk_size = (uint32_t)(buffer->lwe_chunk_size);
uint64_t full_sm_accumulate_step_two =
get_buffer_size_full_sm_multibit_programmable_bootstrap_step_two<Torus>(

View File

@@ -333,6 +333,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<__uint128_t, params>(block_lwe_array_out,
global_slice, 0);
if (num_many_lut > 1) {
@@ -346,6 +347,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<__uint128_t, params>(
next_block_lwe_array_out, global_slice, 0, i * lut_stride);
}
@@ -505,10 +508,9 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<__uint128_t, params>(block_lwe_array_out,
accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -519,7 +521,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
&next_lwe_array_out[lwe_output_indexes[blockIdx.x] *
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<__uint128_t, params>(
next_block_lwe_array_out, accumulator, 0, i * lut_stride);
}

View File

@@ -179,6 +179,7 @@ __global__ void device_programmable_bootstrap_tbc(
}
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
@@ -191,7 +192,8 @@ __global__ void device_programmable_bootstrap_tbc(
&next_lwe_array_out[lwe_output_indexes[blockIdx.x] *
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -360,6 +362,7 @@ __global__ void device_programmable_bootstrap_tbc_2_2_params(
}
}
} else if (blockIdx.y == glwe_dimension) {
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
@@ -373,6 +376,7 @@ __global__ void device_programmable_bootstrap_tbc_2_2_params(
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -458,6 +462,9 @@ __host__ void host_programmable_bootstrap_tbc(
uint32_t num_many_lut, uint32_t lut_stride) {
cuda_set_device(gpu_index);
PANIC_IF_FALSE(sizeof(Torus) == 8,
"Error: Programmable bootstrap tbc only supports 64-bit "
"Torus type.");
auto max_shared_memory = cuda_get_max_shared_memory(gpu_index);
auto supports_dsm =
supports_distributed_shared_memory_on_classic_programmable_bootstrap<

View File

@@ -156,6 +156,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
}
} else if (blockIdx.y == glwe_dimension) {
__syncthreads();
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -167,7 +168,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
&next_lwe_array_out[lwe_output_indexes[blockIdx.x] *
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync, it is already synchronized before the first
// sample_extract_body call
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -356,6 +358,7 @@ __global__ void __launch_bounds__(params::degree / params::opt)
}
}
} else if (blockIdx.y == glwe_dimension) {
// No need to sync here, it is already synchronized after add_to_torus
sample_extract_body<Torus, params>(block_lwe_array_out, accumulator, 0);
if (num_many_lut > 1) {
for (int i = 1; i < num_many_lut; i++) {
@@ -367,7 +370,8 @@ __global__ void __launch_bounds__(params::degree / params::opt)
&next_lwe_array_out[lwe_output_indexes[blockIdx.x] *
(glwe_dimension * polynomial_size + 1) +
blockIdx.y * polynomial_size];
// No need to sync here, it is already synchronized after
// add_to_torus
sample_extract_body<Torus, params>(next_block_lwe_array_out,
accumulator, 0, i * lut_stride);
}
@@ -523,6 +527,11 @@ __host__ void execute_tbc_external_product_loop(
uint32_t polynomial_size, uint32_t grouping_factor, uint32_t base_log,
uint32_t level_count, uint32_t lwe_offset, uint32_t num_many_lut,
uint32_t lut_stride) {
PANIC_IF_FALSE(
sizeof(Torus) == 8,
"Error: Programmable bootstrap multi-bit tbc only supports 64-bit "
"Torus type.");
cuda_set_device(gpu_index);
auto lwe_chunk_size = buffer->lwe_chunk_size;

View File

@@ -339,8 +339,10 @@ template <typename Torus, class params>
__device__ void sample_extract_body(Torus *lwe_array_out, Torus const *glwe,
uint32_t glwe_dimension, uint32_t nth = 0) {
// Set first coefficient of the glwe as the body of the LWE sample
lwe_array_out[glwe_dimension * params::degree] =
glwe[glwe_dimension * params::degree + nth];
if (threadIdx.x == 0) {
lwe_array_out[glwe_dimension * params::degree] =
glwe[glwe_dimension * params::degree + nth];
}
}
// Extracts the mask from the nth-LWE in a GLWE.

View File

@@ -1,45 +0,0 @@
#include "../../include/trivium/trivium.h"
#include "trivium.cuh"
uint64_t scratch_cuda_trivium_64(
CudaStreamsFFI streams, int8_t **mem_ptr, uint32_t glwe_dimension,
uint32_t polynomial_size, uint32_t lwe_dimension, uint32_t ks_level,
uint32_t ks_base_log, uint32_t pbs_level, uint32_t pbs_base_log,
uint32_t grouping_factor, uint32_t message_modulus, uint32_t carry_modulus,
PBS_TYPE pbs_type, bool allocate_gpu_memory,
PBS_MS_REDUCTION_T noise_reduction_type, uint32_t num_inputs) {
int_radix_params params(pbs_type, glwe_dimension, polynomial_size,
glwe_dimension * polynomial_size, lwe_dimension,
ks_level, ks_base_log, pbs_level, pbs_base_log,
grouping_factor, message_modulus, carry_modulus,
noise_reduction_type);
return scratch_cuda_trivium_encrypt<uint64_t>(
CudaStreams(streams), (int_trivium_buffer<uint64_t> **)mem_ptr, params,
allocate_gpu_memory, num_inputs);
}
void cuda_trivium_generate_keystream_64(
CudaStreamsFFI streams, CudaRadixCiphertextFFI *keystream_output,
const CudaRadixCiphertextFFI *key, const CudaRadixCiphertextFFI *iv,
uint32_t num_inputs, uint32_t num_steps, int8_t *mem_ptr, void *const *bsks,
void *const *ksks) {
auto buffer = (int_trivium_buffer<uint64_t> *)mem_ptr;
host_trivium_generate_keystream<uint64_t>(
CudaStreams(streams), keystream_output, key, iv, num_inputs, num_steps,
buffer, bsks, (uint64_t *const *)ksks);
}
void cleanup_cuda_trivium_64(CudaStreamsFFI streams, int8_t **mem_ptr_void) {
int_trivium_buffer<uint64_t> *mem_ptr =
(int_trivium_buffer<uint64_t> *)(*mem_ptr_void);
mem_ptr->release(CudaStreams(streams));
delete mem_ptr;
*mem_ptr_void = nullptr;
}

View File

@@ -1,341 +0,0 @@
#ifndef TRIVIUM_CUH
#define TRIVIUM_CUH
#include "../../include/trivium/trivium_utilities.h"
#include "../integer/integer.cuh"
#include "../integer/radix_ciphertext.cuh"
#include "../integer/scalar_addition.cuh"
#include "../linearalgebra/addition.cuh"
// Reverses the order of bits (blocks) in a ciphertext buffer.
// Used to align the input Key/IV with the internal state format if needed.
template <typename Torus>
void reverse_bitsliced_radix_inplace(CudaStreams streams,
int_trivium_buffer<Torus> *mem,
CudaRadixCiphertextFFI *radix,
uint32_t num_bits_in_reg) {
uint32_t N = mem->num_inputs;
CudaRadixCiphertextFFI *temp = mem->state->shift_workspace;
for (uint32_t i = 0; i < num_bits_in_reg; i++) {
uint32_t src_start = i * N;
uint32_t src_end = (i + 1) * N;
uint32_t dest_start = (num_bits_in_reg - 1 - i) * N;
uint32_t dest_end = (num_bits_in_reg - i) * N;
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), temp, dest_start, dest_end,
radix, src_start, src_end);
}
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), radix, 0, num_bits_in_reg * N,
temp, 0, num_bits_in_reg * N);
}
// Creates a slice of specific bits in a register without copying data.
template <typename Torus>
__host__ void slice_reg_batch(CudaRadixCiphertextFFI *slice,
const CudaRadixCiphertextFFI *reg,
uint32_t start_bit_idx, uint32_t num_bits,
uint32_t num_inputs) {
as_radix_ciphertext_slice<Torus>(slice, reg, start_bit_idx * num_inputs,
(start_bit_idx + num_bits) * num_inputs);
}
// Handles the shift-register update: discards old bits, shifts the rest,
// and inserts the newly computed bits at the beginning.
template <typename Torus>
__host__ void shift_and_insert_batch(CudaStreams streams,
int_trivium_buffer<Torus> *mem,
CudaRadixCiphertextFFI *reg,
CudaRadixCiphertextFFI *new_bits,
uint32_t reg_size, uint32_t num_inputs) {
constexpr uint32_t BATCH = 64;
CudaRadixCiphertextFFI *temp = mem->state->shift_workspace;
uint32_t num_blocks_to_keep = (reg_size - BATCH) * num_inputs;
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), temp, 0, BATCH * num_inputs,
new_bits, 0, BATCH * num_inputs);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), temp, BATCH * num_inputs,
reg_size * num_inputs, reg, 0, num_blocks_to_keep);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), reg, 0, reg_size * num_inputs,
temp, 0, reg_size * num_inputs);
}
// core logic: computes 64 parallel updates for the state registers.
// It performs the XORs (additions) and the AND gates (using Bivariate PBS),
// then updates the registers and writes to output if needed.
template <typename Torus>
__host__ void
trivium_compute_64_steps(CudaStreams streams, int_trivium_buffer<Torus> *mem,
CudaRadixCiphertextFFI *output_dest, void *const *bsks,
uint64_t *const *ksks) {
uint32_t N = mem->num_inputs;
constexpr uint32_t BATCH = 64;
uint32_t batch_size_blocks = BATCH * N;
auto s = mem->state;
CudaRadixCiphertextFFI a65_slice, a92_slice, a91_slice, a90_slice, a68_slice;
slice_reg_batch<Torus>(&a65_slice, s->a_reg, 2, BATCH, N);
slice_reg_batch<Torus>(&a92_slice, s->a_reg, 29, BATCH, N);
slice_reg_batch<Torus>(&a91_slice, s->a_reg, 28, BATCH, N);
slice_reg_batch<Torus>(&a90_slice, s->a_reg, 27, BATCH, N);
slice_reg_batch<Torus>(&a68_slice, s->a_reg, 5, BATCH, N);
CudaRadixCiphertextFFI b68_slice, b83_slice, b82_slice, b81_slice, b77_slice;
slice_reg_batch<Torus>(&b68_slice, s->b_reg, 5, BATCH, N);
slice_reg_batch<Torus>(&b83_slice, s->b_reg, 20, BATCH, N);
slice_reg_batch<Torus>(&b82_slice, s->b_reg, 19, BATCH, N);
slice_reg_batch<Torus>(&b81_slice, s->b_reg, 18, BATCH, N);
slice_reg_batch<Torus>(&b77_slice, s->b_reg, 14, BATCH, N);
CudaRadixCiphertextFFI c65_slice, c110_slice, c109_slice, c108_slice,
c86_slice;
slice_reg_batch<Torus>(&c65_slice, s->c_reg, 2, BATCH, N);
slice_reg_batch<Torus>(&c110_slice, s->c_reg, 47, BATCH, N);
slice_reg_batch<Torus>(&c109_slice, s->c_reg, 46, BATCH, N);
slice_reg_batch<Torus>(&c108_slice, s->c_reg, 45, BATCH, N);
slice_reg_batch<Torus>(&c86_slice, s->c_reg, 23, BATCH, N);
// t1 = a66 + a93
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->temp_t1,
&a65_slice, &a92_slice, s->temp_t1->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
// t2 = b69 + b84
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->temp_t2,
&b68_slice, &b83_slice, s->temp_t2->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
// t3 = c66 + c111
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->temp_t3,
&c65_slice, &c110_slice, s->temp_t3->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_lhs, 0,
batch_size_blocks, &c109_slice, 0, batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_lhs,
batch_size_blocks, 2 * batch_size_blocks, &a91_slice, 0,
batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_lhs,
2 * batch_size_blocks, 3 * batch_size_blocks, &b82_slice, 0,
batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_rhs, 0,
batch_size_blocks, &c108_slice, 0, batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_rhs,
batch_size_blocks, 2 * batch_size_blocks, &a90_slice, 0,
batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_pbs_rhs,
2 * batch_size_blocks, 3 * batch_size_blocks, &b81_slice, 0,
batch_size_blocks);
integer_radix_apply_bivariate_lookup_table<Torus>(
streams, s->packed_pbs_out, s->packed_pbs_lhs, s->packed_pbs_rhs, bsks,
ksks, mem->luts->and_lut, 3 * batch_size_blocks,
mem->params.message_modulus);
CudaRadixCiphertextFFI and_res_a, and_res_b, and_res_c;
as_radix_ciphertext_slice<Torus>(&and_res_a, s->packed_pbs_out, 0,
batch_size_blocks);
as_radix_ciphertext_slice<Torus>(&and_res_b, s->packed_pbs_out,
batch_size_blocks, 2 * batch_size_blocks);
as_radix_ciphertext_slice<Torus>(&and_res_c, s->packed_pbs_out,
2 * batch_size_blocks,
3 * batch_size_blocks);
// a = t3 + a69 + and_res_a
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_a,
s->temp_t3, &a68_slice, s->new_a->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_a,
s->new_a, &and_res_a, s->new_a->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
// b = t1 + b78 + and_res_b
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_b,
s->temp_t1, &b77_slice, s->new_b->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_b,
s->new_b, &and_res_b, s->new_b->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
// c = t2 + c87 + and_res_c
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_c,
s->temp_t2, &c86_slice, s->new_c->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), s->new_c,
s->new_c, &and_res_c, s->new_c->num_radix_blocks,
mem->params.message_modulus, mem->params.carry_modulus);
if (output_dest != nullptr) {
// z = t1 + t2 + t3
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), output_dest,
s->temp_t1, s->temp_t2, output_dest->num_radix_blocks,
mem->params.message_modulus,
mem->params.carry_modulus);
host_addition<Torus>(streams.stream(0), streams.gpu_index(0), output_dest,
output_dest, s->temp_t3, output_dest->num_radix_blocks,
mem->params.message_modulus,
mem->params.carry_modulus);
}
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_flush_in, 0,
batch_size_blocks, s->new_a, 0, batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_flush_in,
batch_size_blocks, 2 * batch_size_blocks, s->new_b, 0, batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_flush_in,
2 * batch_size_blocks, 3 * batch_size_blocks, s->new_c, 0,
batch_size_blocks);
uint32_t total_flush_blocks = 3 * batch_size_blocks;
if (output_dest != nullptr) {
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), s->packed_flush_in,
3 * batch_size_blocks, 4 * batch_size_blocks, output_dest, 0,
batch_size_blocks);
total_flush_blocks += batch_size_blocks;
}
integer_radix_apply_univariate_lookup_table<Torus>(
streams, s->packed_flush_out, s->packed_flush_in, bsks, ksks,
mem->luts->flush_lut, total_flush_blocks);
CudaRadixCiphertextFFI flushed_a, flushed_b, flushed_c;
as_radix_ciphertext_slice<Torus>(&flushed_a, s->packed_flush_out, 0,
batch_size_blocks);
as_radix_ciphertext_slice<Torus>(&flushed_b, s->packed_flush_out,
batch_size_blocks, 2 * batch_size_blocks);
as_radix_ciphertext_slice<Torus>(&flushed_c, s->packed_flush_out,
2 * batch_size_blocks,
3 * batch_size_blocks);
shift_and_insert_batch(streams, mem, s->a_reg, &flushed_a, 93, N);
shift_and_insert_batch(streams, mem, s->b_reg, &flushed_b, 84, N);
shift_and_insert_batch(streams, mem, s->c_reg, &flushed_c, 111, N);
if (output_dest != nullptr) {
CudaRadixCiphertextFFI flushed_out;
as_radix_ciphertext_slice<Torus>(&flushed_out, s->packed_flush_out,
3 * batch_size_blocks,
4 * batch_size_blocks);
copy_radix_ciphertext_slice_async<Torus>(
streams.stream(0), streams.gpu_index(0), output_dest, 0,
batch_size_blocks, &flushed_out, 0, batch_size_blocks);
reverse_bitsliced_radix_inplace<Torus>(streams, mem, output_dest, 64);
}
}
// Sets up the initial state: loads Key and IV, fixes constants,
// and runs the warm-up phase (1152 steps).
template <typename Torus>
__host__ void trivium_init(CudaStreams streams, int_trivium_buffer<Torus> *mem,
CudaRadixCiphertextFFI const *key_bitsliced,
CudaRadixCiphertextFFI const *iv_bitsliced,
void *const *bsks, uint64_t *const *ksks) {
uint32_t N = mem->num_inputs;
auto s = mem->state;
CudaRadixCiphertextFFI src_key_slice;
slice_reg_batch<Torus>(&src_key_slice, key_bitsliced, 0, 80, N);
CudaRadixCiphertextFFI dest_a_slice;
slice_reg_batch<Torus>(&dest_a_slice, s->a_reg, 0, 80, N);
copy_radix_ciphertext_async<Torus>(streams.stream(0), streams.gpu_index(0),
&dest_a_slice, &src_key_slice);
reverse_bitsliced_radix_inplace<Torus>(streams, mem, s->a_reg, 80);
CudaRadixCiphertextFFI src_iv_slice;
slice_reg_batch<Torus>(&src_iv_slice, iv_bitsliced, 0, 80, N);
CudaRadixCiphertextFFI dest_b_slice;
slice_reg_batch<Torus>(&dest_b_slice, s->b_reg, 0, 80, N);
copy_radix_ciphertext_async<Torus>(streams.stream(0), streams.gpu_index(0),
&dest_b_slice, &src_iv_slice);
reverse_bitsliced_radix_inplace<Torus>(streams, mem, s->b_reg, 80);
CudaRadixCiphertextFFI dest_c_ones;
slice_reg_batch<Torus>(&dest_c_ones, s->c_reg, 108, 3, N);
host_add_scalar_one_inplace<Torus>(streams, &dest_c_ones,
mem->params.message_modulus,
mem->params.carry_modulus);
integer_radix_apply_univariate_lookup_table<Torus>(
streams, &dest_c_ones, &dest_c_ones, bsks, ksks, mem->luts->flush_lut,
dest_c_ones.num_radix_blocks);
for (int i = 0; i < 18; i++) {
trivium_compute_64_steps(streams, mem, nullptr, bsks, ksks);
}
}
// Main entry point: checks input validity, initializes state,
// and loops to generate the keystream in batches of 64.
template <typename Torus>
__host__ void host_trivium_generate_keystream(
CudaStreams streams, CudaRadixCiphertextFFI *keystream_output,
CudaRadixCiphertextFFI const *key_bitsliced,
CudaRadixCiphertextFFI const *iv_bitsliced, uint32_t num_inputs,
uint32_t num_steps, int_trivium_buffer<Torus> *mem, void *const *bsks,
uint64_t *const *ksks) {
PANIC_IF_FALSE(num_steps % 64 == 0,
"Trivium Error: num_steps must be a multiple of 64.\n");
trivium_init(streams, mem, key_bitsliced, iv_bitsliced, bsks, ksks);
uint32_t num_batches = num_steps / 64;
for (uint32_t i = 0; i < num_batches; i++) {
CudaRadixCiphertextFFI batch_out_slice;
slice_reg_batch<Torus>(&batch_out_slice, keystream_output, i * 64, 64,
num_inputs);
trivium_compute_64_steps(streams, mem, &batch_out_slice, bsks, ksks);
}
}
template <typename Torus>
uint64_t scratch_cuda_trivium_encrypt(CudaStreams streams,
int_trivium_buffer<Torus> **mem_ptr,
int_radix_params params,
bool allocate_gpu_memory,
uint32_t num_inputs) {
uint64_t size_tracker = 0;
*mem_ptr = new int_trivium_buffer<Torus>(streams, params, allocate_gpu_memory,
num_inputs, size_tracker);
return size_tracker;
}
#endif

View File

@@ -8,38 +8,6 @@ bool p2p_enabled = false;
const int THRESHOLD_MULTI_GPU_WITH_MULTI_BIT_PARAMS = 12;
const int THRESHOLD_MULTI_GPU_WITH_CLASSICAL_PARAMS = 68;
// Enable bidirectional p2p access between all available GPUs and device_0_id
int32_t cuda_setup_multi_gpu(int device_0_id) {
int num_gpus = cuda_get_number_of_gpus();
if (num_gpus == 0)
PANIC("GPU error: the number of GPUs should be > 0.")
int num_used_gpus = 1;
if (num_gpus > 1) {
m.lock();
if (!p2p_enabled) {
p2p_enabled = true;
omp_set_nested(1);
int has_peer_access_to_device_0;
for (int i = 1; i < num_gpus; i++) {
check_cuda_error(cudaDeviceCanAccessPeer(&has_peer_access_to_device_0,
i, device_0_id));
if (has_peer_access_to_device_0) {
cuda_set_device(i);
check_cuda_error(cudaDeviceEnablePeerAccess(device_0_id, 0));
cuda_set_device(device_0_id);
check_cuda_error(cudaDeviceEnablePeerAccess(i, 0));
}
num_used_gpus += 1;
}
} else {
for (int i = 1; i < num_gpus; i++)
num_used_gpus += 1;
}
m.unlock();
}
return (int32_t)(num_used_gpus);
}
uint32_t get_active_gpu_count(uint32_t num_inputs, uint32_t gpu_count,
PBS_TYPE pbs_type) {
int threshold = (pbs_type == MULTI_BIT)

View File

@@ -158,13 +158,11 @@ __global__ void realign_with_indexes(Torus *d_vector,
/// The output indexing is always the trivial one
/// num_inputs: total num of lwe in src
template <typename Torus>
void multi_gpu_scatter_lwe_async(CudaStreams streams,
const std::vector<Torus *> &dest,
Torus const *src, Torus const *d_src_indexes,
bool is_trivial_index,
std::vector<Torus *> &aligned_vec,
uint32_t max_active_gpu_count,
uint32_t num_inputs, uint32_t lwe_size) {
void multi_gpu_scatter_lwe_async(
CudaStreams streams, const std::vector<Torus *> &dest, Torus const *src,
Torus const *d_src_indexes, bool is_trivial_index,
std::vector<Torus *> &aligned_vec, CudaEventPool &event_pool,
uint32_t max_active_gpu_count, uint32_t num_inputs, uint32_t lwe_size) {
PANIC_IF_FALSE(
max_active_gpu_count >= streams.count(),
@@ -193,7 +191,7 @@ void multi_gpu_scatter_lwe_async(CudaStreams streams,
if (d_src_indexes == nullptr)
PANIC("Cuda error: source indexes should be initialized!");
cudaEvent_t temp_event2 = cuda_create_event(streams.gpu_index(0));
cudaEvent_t temp_event2 = event_pool.request_event(streams.gpu_index(0));
cuda_set_device(streams.gpu_index(0));
align_with_indexes<Torus><<<inputs_on_gpu, 1024, 0, streams.stream(0)>>>(
aligned_vec[i], (Torus *)src, (Torus *)d_src_indexes + gpu_offset,
@@ -207,7 +205,7 @@ void multi_gpu_scatter_lwe_async(CudaStreams streams,
dest[i], aligned_vec[i], inputs_on_gpu * lwe_size * sizeof(Torus),
streams.stream(i), streams.gpu_index(i), true);
cudaEvent_t temp_event = cuda_create_event(streams.gpu_index(i));
cudaEvent_t temp_event = event_pool.request_event(streams.gpu_index(i));
cuda_event_record(temp_event, streams.stream(i), streams.gpu_index(i));
cuda_stream_wait_event(streams.stream(0), temp_event,
streams.gpu_index(0));
@@ -223,7 +221,8 @@ void multi_gpu_gather_lwe_async(CudaStreams streams, Torus *dest,
const std::vector<Torus *> &src,
Torus *d_dest_indexes, bool is_trivial_index,
std::vector<Torus *> &aligned_vec,
uint32_t num_inputs, uint32_t lwe_size) {
CudaEventPool &event_pool, uint32_t num_inputs,
uint32_t lwe_size) {
PANIC_IF_FALSE(src.size() >= streams.count(),
"Cuda error: src vector was not allocated for enough GPUs");
@@ -247,7 +246,7 @@ void multi_gpu_gather_lwe_async(CudaStreams streams, Torus *dest,
if (d_dest_indexes == nullptr)
PANIC("Cuda error: destination indexes should be initialized!");
cudaEvent_t temp_event2 = cuda_create_event(streams.gpu_index(0));
cudaEvent_t temp_event2 = event_pool.request_event(streams.gpu_index(0));
cuda_event_record(temp_event2, streams.stream(0), streams.gpu_index(0));
cuda_stream_wait_event(streams.stream(i), temp_event2,
@@ -257,7 +256,7 @@ void multi_gpu_gather_lwe_async(CudaStreams streams, Torus *dest,
aligned_vec[i], src[i], inputs_on_gpu * lwe_size * sizeof(Torus),
streams.stream(i), streams.gpu_index(i), true);
cudaEvent_t temp_event3 = cuda_create_event(streams.gpu_index(i));
cudaEvent_t temp_event3 = event_pool.request_event(streams.gpu_index(i));
cuda_event_record(temp_event3, streams.stream(i), streams.gpu_index(i));
cuda_stream_wait_event(streams.stream(0), temp_event3,
streams.gpu_index(0));
@@ -302,6 +301,8 @@ void multi_gpu_gather_many_lut_lwe_async(CudaStreams streams, Torus *dest,
d_dest, d_src, inputs_on_gpu * lwe_size * sizeof(Torus),
streams.stream(i), streams.gpu_index(i), true);
} else {
if (h_dest_indexes == nullptr)
PANIC("Cuda error: destination indexes should be initialized!");
auto dest_indexes = h_dest_indexes + gpu_offset;
for (uint j = 0; j < inputs_on_gpu; j++) {

View File

@@ -8,10 +8,10 @@ uint64_t scratch_cuda_expand_without_verification_64(
uint32_t casting_output_dimension, uint32_t casting_ks_level,
uint32_t casting_ks_base_log, uint32_t pbs_level, uint32_t pbs_base_log,
uint32_t grouping_factor, const uint32_t *num_lwes_per_compact_list,
const bool *is_boolean_array, uint32_t num_compact_lists,
uint32_t message_modulus, uint32_t carry_modulus, PBS_TYPE pbs_type,
KS_TYPE casting_key_type, bool allocate_gpu_memory,
PBS_MS_REDUCTION_T noise_reduction_type) {
const bool *is_boolean_array, const uint32_t is_boolean_array_len,
uint32_t num_compact_lists, uint32_t message_modulus,
uint32_t carry_modulus, PBS_TYPE pbs_type, KS_TYPE casting_key_type,
bool allocate_gpu_memory, PBS_MS_REDUCTION_T noise_reduction_type) {
// Since CUDA backend works with the concept of "big" and "small" key, instead
// of "input" and "output", we need to do this or otherwise our PBS will throw
@@ -36,8 +36,9 @@ uint64_t scratch_cuda_expand_without_verification_64(
return scratch_cuda_expand_without_verification<uint64_t>(
CudaStreams(streams),
reinterpret_cast<zk_expand_mem<uint64_t> **>(mem_ptr),
num_lwes_per_compact_list, is_boolean_array, num_compact_lists,
computing_params, casting_params, casting_key_type, allocate_gpu_memory);
num_lwes_per_compact_list, is_boolean_array, is_boolean_array_len,
num_compact_lists, computing_params, casting_params, casting_key_type,
allocate_gpu_memory);
}
void cuda_expand_without_verification_64(

View File

@@ -15,6 +15,70 @@
#include "zk/zk_utilities.h"
#include <functional>
/*
* =============================================================================
* GPU Expand Algorithm: Overview
* =============================================================================
*
* The expand algorithm transforms compact ciphertexts into standard LWE
* ciphertexts. Compact ciphertexts save space by sharing a single mask across
* multiple encrypted messages.
*
* -----------------------------------------------------------------------------
* INPUT STRUCTURE (lwe_flattened_compact_array_in)
* -----------------------------------------------------------------------------
*
* A contiguous array of concatenated compact ciphertext lists:
*
* ┌─────────────────────────────────────────────────────────────────────────┐
* │ lwe_flattened_compact_array_in (GPU memory) │
* └─────────────────────────────────────────────────────────────────────────┘
* ┌────────────────────────────────┬────────────────────────────────────────┐
* │ Compact List 0 │ Compact List 1 │...
* └────────────────────────────────┴────────────────────────────────────────┘
*
* Each compact list structure:
* ┌─────────────────────────────────────────────┬────────┬────────┬─────────┐
* │ Shared Mask (lwe_dimension coefficients) │ Body 0 │ Body 1 │ Body 2
* │... │ [a_0, a_1, ..., a_{n-1}] │ b_0 │ b_1 │ b_2 │
* └─────────────────────────────────────────────┴────────┴────────┴─────────┘
* │<────────── lwe_dimension ──────────────────>│<── num_lwes_in_list ─────>│
*
* -----------------------------------------------------------------------------
* EXPAND PROCESS
* -----------------------------------------------------------------------------
*
* 1. LWE Expansion (lwe_expand kernel):
* Each (mask, body_i) pair becomes a standard LWE by rotating the mask
* by i positions: LWE_i = (rotate(mask, i), body_i)
*
* 2. Message/Carry Extraction (PBS with LUTs):
* Each expanded LWE contains packed data. PBS extracts both parts:
*
* Input LWE_i ──PBS──> Output[2i] (message extraction LUT)
* └───> Output[2i+1] (carry extraction LUT)
*
* For boolean values, sanitization LUTs clamp output to {0, 1}.
*
* -----------------------------------------------------------------------------
* OUTPUT STRUCTURE (lwe_array_out)
* -----------------------------------------------------------------------------
*
* ┌─────────────────────────────────────────────────────────────────────────┐
* │ lwe_array_out (2 * num_lwes standard LWEs) │
* └─────────────────────────────────────────────────────────────────────────┘
* ┌──────────────┬──────────────┬──────────────┬──────────────┬─────────────┐
* │ LWE 0 (msg) │ LWE 0 (carry)│ LWE 1 (msg) │ LWE 1 (carry)│ ... │
* └──────────────┴──────────────┴──────────────┴──────────────┴─────────────┘
*
* Each output LWE: [mask (lwe_dimension), body (1)] = lwe_dimension + 1
* elements
*
* See zk_utilities.h for detailed documentation on the is_boolean array and
* LUT indexing logic.
* =============================================================================
*/
template <typename Torus, class params>
__host__ void host_expand_without_verification(
CudaStreams streams, Torus *lwe_array_out,
@@ -107,15 +171,15 @@ template <typename Torus>
__host__ uint64_t scratch_cuda_expand_without_verification(
CudaStreams streams, zk_expand_mem<Torus> **mem_ptr,
const uint32_t *num_lwes_per_compact_list, const bool *is_boolean_array,
uint32_t num_compact_lists, int_radix_params computing_params,
int_radix_params casting_params, KS_TYPE casting_key_type,
bool allocate_gpu_memory) {
const uint32_t is_boolean_array_len, uint32_t num_compact_lists,
int_radix_params computing_params, int_radix_params casting_params,
KS_TYPE casting_key_type, bool allocate_gpu_memory) {
uint64_t size_tracker = 0;
*mem_ptr = new zk_expand_mem<Torus>(
streams, computing_params, casting_params, casting_key_type,
num_lwes_per_compact_list, is_boolean_array, num_compact_lists,
allocate_gpu_memory, size_tracker);
num_lwes_per_compact_list, is_boolean_array, is_boolean_array_len,
num_compact_lists, allocate_gpu_memory, size_tracker);
return size_tracker;
}

View File

@@ -67,7 +67,7 @@ public:
number_of_inputs = (int)GetParam().number_of_inputs;
// Enable Multi-GPU logic
gpu_count = cuda_setup_multi_gpu(0);
gpu_count = cuda_get_number_of_gpus();
active_gpu_count = std::min((uint)number_of_inputs, gpu_count);
for (uint gpu_i = 0; gpu_i < active_gpu_count; gpu_i++) {
streams.push_back(cuda_create_stream(gpu_i));

View File

@@ -2511,42 +2511,6 @@ unsafe extern "C" {
mem_ptr_void: *mut *mut i8,
);
}
unsafe extern "C" {
pub fn scratch_cuda_trivium_64(
streams: CudaStreamsFFI,
mem_ptr: *mut *mut i8,
glwe_dimension: u32,
polynomial_size: u32,
lwe_dimension: u32,
ks_level: u32,
ks_base_log: u32,
pbs_level: u32,
pbs_base_log: u32,
grouping_factor: u32,
message_modulus: u32,
carry_modulus: u32,
pbs_type: PBS_TYPE,
allocate_gpu_memory: bool,
noise_reduction_type: PBS_MS_REDUCTION_T,
num_inputs: u32,
) -> u64;
}
unsafe extern "C" {
pub fn cuda_trivium_generate_keystream_64(
streams: CudaStreamsFFI,
keystream_output: *mut CudaRadixCiphertextFFI,
key: *const CudaRadixCiphertextFFI,
iv: *const CudaRadixCiphertextFFI,
num_inputs: u32,
num_steps: u32,
mem_ptr: *mut i8,
bsks: *const *mut ffi::c_void,
ksks: *const *mut ffi::c_void,
);
}
unsafe extern "C" {
pub fn cleanup_cuda_trivium_64(streams: CudaStreamsFFI, mem_ptr_void: *mut *mut i8);
}
pub const KS_TYPE_BIG_TO_SMALL: KS_TYPE = 0;
pub const KS_TYPE_SMALL_TO_BIG: KS_TYPE = 1;
pub type KS_TYPE = ffi::c_uint;
@@ -2569,6 +2533,7 @@ unsafe extern "C" {
grouping_factor: u32,
num_lwes_per_compact_list: *const u32,
is_boolean_array: *const bool,
is_boolean_array_len: u32,
num_compact_lists: u32,
message_modulus: u32,
carry_modulus: u32,

View File

@@ -4,7 +4,6 @@
#include "cuda/include/integer/integer.h"
#include "cuda/include/integer/rerand.h"
#include "cuda/include/aes/aes.h"
#include "cuda/include/trivium/trivium.h"
#include "cuda/include/zk/zk.h"
#include "cuda/include/keyswitch/keyswitch.h"
#include "cuda/include/keyswitch/ks_enums.h"

View File

@@ -75,7 +75,7 @@ Other optional configuration knobs are available:
* `--freq-hz`, `--register`, `isc-depth`: These knobs are used to override some parameters on the flight. They are useful for quick exploration.
* `--dump-out`, `--dump-reg`: Use for RTL stimuli generation and debug
* `--report-out`, `report-trace`: Use for detailed analysis of the performances report
* `--nops`: Disable tfhe-rs computation. Obviously led to incorrect behavior but accurate performance estimation.
* `--nops`: Disable tfhe-rs computation. Obsviously led to incorrect behavior but accurate performance estimation.
* `--log-out`: Write trace message in the given file instead of stdio.
On top of that `tfhe-hpu-mockup` could generate a detailed set of trace points at runtime to help during the debug/exploration phase (e.g. When writing new Hpu firmware).

View File

@@ -872,35 +872,35 @@ impl HpuSim {
impl HpuSim {
fn dump_op_reg(&self, op: &hpu_asm::DOp) {
if self.options.dump_reg {
if let Some(dump_out) = &self.options.dump_out {
// Dump register value
let regid = match op {
hpu_asm::DOp::LD(op_impl) => op_impl.0.rid.0 as usize,
hpu_asm::DOp::ST(op_impl) => op_impl.0.rid.0 as usize,
hpu_asm::DOp::ADDS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SUBS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SSUB(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::MULS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::ADD(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SUB(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::MAC(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML2(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML4(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML8(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML2_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML4_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML8_F(op_impl) => op_impl.0.dst_rid.0 as usize,
_ => return,
};
let regf = self.regfile[regid].as_view();
if self.options.dump_out.is_some() && self.options.dump_reg {
let dump_out = self.options.dump_out.as_ref().unwrap();
// Create base-path
let base_path = format!("{}/blwe/run/blwe_isc{}_reg", dump_out, self.pc,);
self.dump_regf(regf, &base_path);
}
// Dump register value
let regid = match op {
hpu_asm::DOp::LD(op_impl) => op_impl.0.rid.0 as usize,
hpu_asm::DOp::ST(op_impl) => op_impl.0.rid.0 as usize,
hpu_asm::DOp::ADDS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SUBS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SSUB(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::MULS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::ADD(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::SUB(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::MAC(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML2(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML4(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML8(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML2_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML4_F(op_impl) => op_impl.0.dst_rid.0 as usize,
hpu_asm::DOp::PBS_ML8_F(op_impl) => op_impl.0.dst_rid.0 as usize,
_ => return,
};
let regf = self.regfile[regid].as_view();
// Create base-path
let base_path = format!("{}/blwe/run/blwe_isc{}_reg", dump_out, self.pc,);
self.dump_regf(regf, &base_path);
}
}

View File

@@ -46,11 +46,10 @@ impl MockupOptions {
}
}
pub fn report_trace(&self, iop: hpu_asm::AsmIOpcode) -> Option<File> {
if self.report_trace {
self.report_out.as_ref().map(|report_out| {
let iop_file = format!("{report_out}/{iop}.json");
Self::open_wr_file(&iop_file)
})
if self.report_out.is_some() && self.report_trace {
let report_out = &self.report_out.as_ref().unwrap();
let iop_file = format!("{report_out}/{iop}.json");
Some(Self::open_wr_file(&iop_file))
} else {
None
}

View File

@@ -1 +1 @@
nightly-2026-01-14
nightly-2025-11-19

View File

@@ -37,7 +37,7 @@ if [[ "${RUN_VALGRIND}" == "1" ]]; then
# Since, when output is directed to a file, nextest outputs a list of `<executable name> <test name>` the `grep -o '[^ ]\+$'` filter
# will keep only the test name and the `tfhe` executable is assumed. To sanitize tests from another
# executable changes might be needed
TESTS_TO_RUN=$(sed -e $'s/\x1b\[[0-9;]*m//g' < /tmp/test_list.txt | grep -E 'high_level_api::.*gpu.*' | grep -v 'test_uniformity' | grep -v 'array' | grep -v 'flip' | grep -o '[^ ]\+$')
TESTS_TO_RUN=$(sed -e $'s/\x1b\[[0-9;]*m//g' < /tmp/test_list.txt | grep -E 'high_level_api::.*gpu.*' | grep -v 'array' | grep -v 'flip' | grep -o '[^ ]\+$')
# Build the tests but don't run them
RUSTFLAGS="$RUSTFLAGS" cargo test --no-run --profile "${CARGO_PROFILE}" \
@@ -64,7 +64,7 @@ if [[ "${RUN_COMPUTE_SANITIZER}" == "1" ]]; then
# Since, when output is directed to a file, nextest outputs a list of `<executable name> <test name>` the `grep -o '[^ ]\+$'` filter
# will keep only the test name and the `tfhe` executable is assumed. To sanitize tests from another
# executable changes might be needed
TESTS_TO_RUN=$(sed -e $'s/\x1b\[[0-9;]*m//g' < /tmp/test_list.txt | grep -E 'high_level_api::.*gpu.*|core_crypto::.*gpu.*' | grep -v 'array' | grep -v 'modulus_switch' | grep -v '3_3' | grep -v 'noise_distribution' | grep -v 'flip' | grep -v 'test_uniformity' | grep -o '[^ ]\+$')
TESTS_TO_RUN=$(sed -e $'s/\x1b\[[0-9;]*m//g' < /tmp/test_list.txt | grep -E 'high_level_api::.*gpu.*|core_crypto::.*gpu.*' | grep -v 'array' | grep -v 'modulus_switch' | grep -v '3_3' | grep -v 'noise_distribution' | grep -v 'flip' | grep -o '[^ ]\+$')
# Build the tests but don't run them
RUSTFLAGS="$RUSTFLAGS" cargo test --no-run --profile "${CARGO_PROFILE}" \
--features=integer,internal-keycache,gpu,zk-pok -p tfhe

View File

@@ -3,23 +3,21 @@
set -e
function usage() {
echo "$0: integer test runner"
echo
echo "--help Print this message"
echo "--no-run Does not run the tests, but prints which tests would be ran (except doctests)"
echo "--rust-toolchain The toolchain to run the tests with default: stable"
echo "--multi-bit Run multi-bit tests only: default off"
echo "--unsigned-only Run only unsigned integer tests, by default both signed and unsigned tests are run"
echo "--signed-only Run only signed integer tests, by default both signed and unsigned tests are run"
echo "--run-prod-only Run only the tests using the prod parameters"
echo "--nightly-tests Run integer tests configured for nightly runs (3_3 params)"
echo "--fast-tests Run integer set but skip a subset of longer tests"
echo "--long-tests Run only long run integer tests"
echo "--cargo-profile The cargo profile used to build tests"
echo "--backend Backend to use with tfhe-rs"
echo "--avx512-support Set to ON to enable avx512"
echo "--tfhe-package The package spec like tfhe@0.4.2, default=tfhe"
echo
echo "$0: integer test runner"
echo
echo "--help Print this message"
echo "--rust-toolchain The toolchain to run the tests with default: stable"
echo "--multi-bit Run multi-bit tests only: default off"
echo "--unsigned-only Run only unsigned integer tests, by default both signed and unsigned tests are run"
echo "--signed-only Run only signed integer tests, by default both signed and unsigned tests are run"
echo "--nightly-tests Run integer tests configured for nightly runs (3_3 params)"
echo "--fast-tests Run integer set but skip a subset of longer tests"
echo "--long-tests Run only long run integer tests"
echo "--cargo-profile The cargo profile used to build tests"
echo "--backend Backend to use with tfhe-rs"
echo "--avx512-support Set to ON to enable avx512"
echo "--tfhe-package The package spec like tfhe@0.4.2, default=tfhe"
echo
}
RUST_TOOLCHAIN=""
@@ -35,96 +33,87 @@ backend="cpu"
gpu_feature=""
avx512_feature=""
tfhe_package="tfhe"
prod_param_argument=
no_run=false
while [ -n "$1" ]; do
case "$1" in
"--help" | "-h")
usage
exit 0
;;
while [ -n "$1" ]
do
case "$1" in
"--help" | "-h" )
usage
exit 0
;;
"--no-run")
no_run=true
;;
"--rust-toolchain" )
shift
RUST_TOOLCHAIN="$1"
;;
"--run-prod-only")
prod_param_argument="--run-prod-only"
;;
"--multi-bit" )
multi_bit_argument=--multi-bit
;;
"--rust-toolchain")
shift
RUST_TOOLCHAIN="$1"
;;
"--unsigned-only" )
sign_argument=--unsigned-only
;;
"--multi-bit")
multi_bit_argument=--multi-bit
;;
"--signed-only" )
sign_argument=--signed-only
;;
"--unsigned-only")
sign_argument=--unsigned-only
;;
"--cargo-profile" )
shift
cargo_profile="$1"
;;
"--signed-only")
sign_argument=--signed-only
;;
"--backend" )
shift
backend="$1"
;;
"--avx512-support" )
shift
if [[ "$1" == "ON" ]]; then
avx512_feature=avx512
fi
;;
"--cargo-profile")
shift
cargo_profile="$1"
;;
"--tfhe-package" )
shift
tfhe_package="$1"
;;
"--backend")
shift
backend="$1"
;;
"--avx512-support")
shift
if [[ "$1" == "ON" ]]; then
avx512_feature=avx512
fi
;;
"--tfhe-package")
shift
tfhe_package="$1"
;;
*)
echo "Unknown param : $1"
exit 1
;;
esac
shift
*)
echo "Unknown param : $1"
exit 1
;;
esac
shift
done
if [[ "${RUST_TOOLCHAIN::1}" != "+" ]]; then
RUST_TOOLCHAIN=${RUST_TOOLCHAIN:+"+${RUST_TOOLCHAIN}"}
RUST_TOOLCHAIN=${RUST_TOOLCHAIN:+"+${RUST_TOOLCHAIN}"}
fi
if [[ "${FAST_TESTS}" == TRUE ]]; then
fast_tests_argument=--fast-tests
fast_tests_argument=--fast-tests
fi
if [[ "${LONG_TESTS}" == TRUE ]]; then
long_tests_argument=--long-tests
long_tests_argument=--long-tests
fi
if [[ "${NIGHTLY_TESTS}" == TRUE ]]; then
nightly_tests_argument=--nightly-tests
nightly_tests_argument=--nightly-tests
fi
if [[ "${NO_BIG_PARAMS}" == TRUE ]]; then
no_big_params_argument=--no-big-params
no_big_params_argument=--no-big-params
fi
if [[ "${NO_BIG_PARAMS_GPU}" == TRUE ]]; then
no_big_params_argument_gpu=--no-big-params-gpu
no_big_params_argument_gpu=--no-big-params-gpu
fi
if [[ "${backend}" == "gpu" ]]; then
gpu_feature="gpu"
gpu_feature="gpu"
fi
CURR_DIR="$(dirname "$0")"
@@ -133,80 +122,70 @@ CURR_DIR="$(dirname "$0")"
num_cpu_threads="$("${CURR_DIR}"/cpu_count.sh)"
if uname -a | grep "arm64"; then
if [[ $(uname) == "Darwin" ]]; then
# Keys are 4.7 gigs at max, CI M1 macs only has 8 gigs of RAM
small_instance_n_threads=1
fi
if [[ $(uname) == "Darwin" ]]; then
# Keys are 4.7 gigs at max, CI M1 macs only has 8 gigs of RAM
small_instance_n_threads=1
fi
else
# Keys are 4.7 gigs at max, test machine has 32 gigs of RAM
small_instance_n_threads=6
# Keys are 4.7 gigs at max, test machine has 32 gigs of RAM
small_instance_n_threads=6
fi
if [[ "${BIG_TESTS_INSTANCE}" == TRUE ]]; then
test_threads="$((num_cpu_threads * 1 / 4))"
doctest_threads="${num_cpu_threads}"
test_threads="$((num_cpu_threads * 1 / 4))"
doctest_threads="${num_cpu_threads}"
else
test_threads="${small_instance_n_threads}"
doctest_threads="${num_cpu_threads}"
test_threads="${small_instance_n_threads}"
doctest_threads="${num_cpu_threads}"
fi
# Override test-threads number to avoid Out-of-memory issues on GPU instances
if [[ "${backend}" == "gpu" ]]; then
if [[ "${BIG_TESTS_INSTANCE}" == TRUE ]]; then
test_threads=8
doctest_threads=8
else
test_threads=4
doctest_threads=4
fi
if [[ "${BIG_TESTS_INSTANCE}" == TRUE ]]; then
test_threads=8
doctest_threads=8
else
test_threads=4
doctest_threads=4
fi
fi
filter_expression=$(/usr/bin/python3 scripts/test_filtering.py --layer integer --backend "${backend}" ${fast_tests_argument:+$fast_tests_argument} ${long_tests_argument:+$long_tests_argument} ${nightly_tests_argument:+$nightly_tests_argument} ${no_big_params_argument_gpu:+$no_big_params_argument_gpu} ${multi_bit_argument:+$multi_bit_argument} ${sign_argument:+$sign_argument} ${no_big_params_argument:+$no_big_params_argument} ${prod_param_argument:+$prod_param_argument})
filter_expression=$(/usr/bin/python3 scripts/test_filtering.py --layer integer --backend "${backend}" ${fast_tests_argument:+$fast_tests_argument} ${long_tests_argument:+$long_tests_argument} ${nightly_tests_argument:+$nightly_tests_argument} ${no_big_params_argument_gpu:+$no_big_params_argument_gpu} ${multi_bit_argument:+$multi_bit_argument} ${sign_argument:+$sign_argument} ${no_big_params_argument:+$no_big_params_argument})
if [[ "${FAST_TESTS}" == "TRUE" ]]; then
echo "Running 'fast' test set"
echo "Running 'fast' test set"
elif [[ "${LONG_TESTS}" == "FALSE" ]]; then
echo "Running 'slow' test set"
echo "Running 'slow' test set"
fi
if [[ "${LONG_TESTS}" == "TRUE" ]]; then
echo "Running 'long run' test set"
echo "Running 'long run' test set"
fi
if [[ "${NIGHTLY_TESTS}" == "TRUE" ]]; then
echo "Running 'nightly' test set"
echo "Running 'nightly' test set"
fi
echo "${filter_expression}"
if $no_run; then
nextest_command="list"
nextest_extra_flags=""
else
nextest_command="run"
nextest_extra_flags="--profile ci --test-threads ${test_threads}"
fi
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} nextest run \
--tests \
--cargo-profile "${cargo_profile}" \
--package "${tfhe_package}" \
--profile ci \
--no-default-features \
--features=integer,internal-keycache,zk-pok,experimental,"${avx512_feature}","${gpu_feature}" \
--test-threads "${test_threads}" \
-E "$filter_expression"
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} nextest ${nextest_command} \
--tests \
--cargo-profile "${cargo_profile}" \
--package "${tfhe_package}" \
--no-default-features \
--features=integer,internal-keycache,zk-pok,experimental,"${avx512_feature}","${gpu_feature}" \
${nexttest_extra_flags} \
-E "$filter_expression"
if ! $no_run; then
# Unfortunately, we cannot skip running doctest with `--no-run`
if [[ -z ${multi_bit_argument} && -z ${long_tests_argument} ]]; then
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} test \
--profile "${cargo_profile}" \
--package "${tfhe_package}" \
--no-default-features \
--features=integer,internal-keycache,experimental,"${avx512_feature}","${gpu_feature}" \
--doc \
-- --test-threads="${doctest_threads}" integer::"${gpu_feature}"
fi
if [[ -z ${multi_bit_argument} && -z ${long_tests_argument} ]]; then
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} test \
--profile "${cargo_profile}" \
--package "${tfhe_package}" \
--no-default-features \
--features=integer,internal-keycache,experimental,"${avx512_feature}","${gpu_feature}" \
--doc \
-- --test-threads="${doctest_threads}" integer::"${gpu_feature}"
fi
echo "Test ran in $SECONDS seconds"

View File

@@ -8,7 +8,6 @@ function usage() {
echo "--help Print this message"
echo "--rust-toolchain The toolchain to run the tests with default: stable"
echo "--multi-bit Run multi-bit tests only: default off"
echo "--run-prod-only Run only the tests using the prod parameters"
echo "--cargo-profile The cargo profile used to build tests"
echo "--tfhe-package The package spec like tfhe@0.4.2, default=tfhe"
echo
@@ -20,7 +19,6 @@ multi_bit_argument=
fast_tests_argument=
cargo_profile="release"
tfhe_package="tfhe"
prod_param_argument=
while [ -n "$1" ]
do
@@ -40,9 +38,6 @@ do
multi_bit_argument=--multi-bit
;;
"--run-prod-only")
prod_param_argument="--run-prod-only"
;;
"--cargo-profile" )
shift
cargo_profile="$1"
@@ -90,7 +85,7 @@ else
fi
if [[ "${BIG_TESTS_INSTANCE}" != TRUE ]]; then
filter_expression_small_params=$(/usr/bin/python3 scripts/test_filtering.py --layer shortint ${fast_tests_argument} ${multi_bit_argument} ${prod_param_argument})
filter_expression_small_params=$(/usr/bin/python3 scripts/test_filtering.py --layer shortint ${fast_tests_argument} ${multi_bit_argument})
# Run tests only no examples or benches with small params and more threads
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} nextest run \
@@ -130,7 +125,7 @@ and not test(~smart_add_and_mul)"""
fi
fi
else
filter_expression=$(/usr/bin/python3 scripts/test_filtering.py --layer shortint --big-instance ${fast_tests_argument} ${multi_bit_argument} ${prod_param_argument})
filter_expression=$(/usr/bin/python3 scripts/test_filtering.py --layer shortint --big-instance ${fast_tests_argument} ${multi_bit_argument})
# Run tests only no examples or benches with small params and more threads
cargo ${RUST_TOOLCHAIN:+"$RUST_TOOLCHAIN"} nextest run \

View File

@@ -74,17 +74,12 @@ parser.add_argument(
action="store_true",
help="Do not run tests with big parameters set (e.g. 3bits message with 3 bits carry) for GPU",
)
parser.add_argument(
"--run-prod-only",
action="store_true",
help="Specify to run the CPU tests with the prod KS_PBS 2_2 parameters, \
only the 'layer' parameter will be taken into account if this flag is specified",
)
# block PBS are too slow for high params
# mul_crt_4_4 is extremely flaky (~80% failure)
# test_wopbs_bivariate_crt_wopbs_param_message generate tables that are too big at the moment
# test_integer_smart_mul_param_message_4_carry_4_ks_pbs_gaussian_2m64 is too slow
# so is test_integer_default_add_sequence_multi_thread_param_message_4_carry_4_ks_pbs_gaussian_2m64
# skip smart_div, smart_rem which are already covered by the smar_div_rem test
# skip default_div, default_rem which are covered by default_div_rem
EXCLUDED_INTEGER_TESTS = [
@@ -96,6 +91,7 @@ EXCLUDED_INTEGER_TESTS = [
"~mul_crt_param_message_4_carry_4_ks_pbs_gaussian_2m64",
"/.*test_wopbs_bivariate_crt_wopbs_param_message_[34]_carry_[34]_ks_pbs_gaussian_2m64$/",
"/.*test_integer_smart_mul_param_message_4_carry_4_ks_pbs_gaussian_2m64$/",
"/.*test_integer_default_add_sequence_multi_thread_param_message_4_carry_4_ks_pbs_gaussian_2m64$/",
"/.*::tests_long_run::.*/",
]
@@ -104,6 +100,7 @@ EXCLUDED_INTEGER_FAST_TESTS = [
"/.*integer_default_div_param/",
"/.*integer_default_rem_param/",
"/.*_param_message_[14]_carry_[14]_ks_pbs_gaussian_2m64$/",
"/.*default_add_sequence_multi_thread_param_message_3_carry_3_ks_pbs_gaussian_2m64$/",
]
EXCLUDED_BIG_PARAMETERS = [
@@ -128,13 +125,7 @@ def filter_integer_tests(input_args):
# For now, GPU only has specific parameters set for multi-bit
multi_bit_filter = "_gpu_multi_bit"
if input_args.run_prod_only:
filter_expression = [f"test(/^integer::{backend_filter}.*_param_prod.*/)"]
else:
filter_expression = [
f"test(/^integer::{backend_filter}.*/)",
"not test(~_param_prod)",
]
filter_expression = [f"test(/^integer::{backend_filter}.*/)"]
if input_args.multi_bit:
filter_expression.append("test(~_multi_bit)")
@@ -170,32 +161,29 @@ def filter_integer_tests(input_args):
f"test(/.*_default_.*?_param{multi_bit_filter}{group_filter}_message_3_carry_3_.*/)"
)
excluded_tests = (
EXCLUDED_INTEGER_FAST_TESTS
if input_args.fast_tests
else EXCLUDED_INTEGER_TESTS
EXCLUDED_INTEGER_FAST_TESTS if input_args.fast_tests else EXCLUDED_INTEGER_TESTS
)
for pattern in excluded_tests:
filter_expression.append(f"not test({pattern})")
else:
if input_args.backend == "gpu":
filter_expression = [
"test(/^integer::gpu::server_key::radix::tests_long_run.*/)"
]
filter_expression = ["test(/^integer::gpu::server_key::radix::tests_long_run.*/)"]
elif input_args.backend == "cpu":
filter_expression = [
"test(/^integer::server_key::radix_parallel::tests_long_run.*/)"
]
filter_expression = ["test(/^integer::server_key::radix_parallel::tests_long_run.*/)"]
# Do not run noise check tests by default as they can be very slow
# they will be run e.g. nightly or on demand
filter_expression.append(
"not test(/^integer::gpu::server_key::radix::tests_noise_distribution::.*::test_gpu_noise_check.*/)"
)
filter = filter_expression.append(f"not test(/^integer::gpu::server_key::radix::tests_noise_distribution::.*::test_gpu_noise_check.*/)")
return " and ".join(filter_expression)
def shortint_normal_filter(input_args):
multi_bit_filter = "_multi_bit_group_[0-9]" if input_args.multi_bit else ""
def filter_shortint_tests(input_args):
multi_bit_filter, group_filter = (
("_multi_bit", "_group_[0-9]") if input_args.multi_bit else ("", "")
)
if input_args.fast_tests:
msg_carry_pairs = [(2, 1), (2, 2), (2, 3)]
@@ -218,31 +206,19 @@ def shortint_normal_filter(input_args):
msg_carry_pairs.append((4, 4))
filter_expression = [
f"test(/^shortint::.*_param{multi_bit_filter}_message_{msg}_carry_{carry}\
(_compact_pk)?_ks(32)?_pbs.*/)"
f"test(/^shortint::.*_param{multi_bit_filter}{group_filter}_message_{msg}_carry_{carry}(_compact_pk)?_ks(32)?_pbs.*/)"
for msg, carry in msg_carry_pairs
]
filter_expression.append("test(/^shortint::.*meta_param_cpu_2_2/)")
filter_expression.append("test(/^shortint::.*meta_param_cpu_2_2_ks32_pbs/)")
filter_expression.append("test(/^shortint::.*_ci_run_filter/)")
return filter_expression
def filter_shortint_tests(input_args):
# We special case the CPU KS_PBS 2_2 parameters to be able to run them alone
filter_expression = shortint_normal_filter(input_args)
opt_in_tests = " or ".join(filter_expression)
# Do not run noise check tests by default as they can be very slow
# they will be run e.g. nightly or on demand
filter = f"({opt_in_tests}) and not test(/^shortint::.*test_noise_check/)"
if input_args.run_prod_only:
filter = f"({filter}) and test(/^shortint::.*_param_prod.*/)"
else:
filter = f"({filter}) and not test(/^shortint::.*_param_prod.*/)"
return filter

View File

@@ -133,12 +133,6 @@ path = "benches/integer/aes.rs"
harness = false
required-features = ["integer", "internal-keycache"]
[[bench]]
name = "integer-trivium"
path = "benches/integer/trivium.rs"
harness = false
required-features = ["integer", "internal-keycache"]
[[bench]]
name = "integer-aes256"
path = "benches/integer/aes256.rs"

View File

@@ -1,17 +1,25 @@
use benchmark::params_aliases::BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
#[cfg(feature = "gpu")]
use benchmark::params_aliases::BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
use criterion::{black_box, criterion_group, Criterion};
use std::num::NonZeroU64;
use tfhe::{set_server_key, ClientKey, ConfigBuilder, FheUint64, RangeForRandom, Seed, ServerKey};
fn oprf_any_range_bench(c: &mut Criterion, bench_name: &str) {
pub fn oprf_any_range(c: &mut Criterion) {
let bench_name = "hlapi::oprf_any_range";
let mut bench_group = c.benchmark_group(bench_name);
bench_group
.sample_size(15)
.measurement_time(std::time::Duration::from_secs(30));
let param = BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
let config = ConfigBuilder::with_custom_parameters(param).build();
let cks = ClientKey::generate(config);
let sks = ServerKey::new(&cks);
rayon::broadcast(|_| set_server_key(sks.clone()));
set_server_key(sks);
for excluded_upper_bound in [3, 52] {
let range = RangeForRandom::new_from_excluded_upper_bound(
NonZeroU64::new(excluded_upper_bound).unwrap(),
@@ -33,34 +41,4 @@ fn oprf_any_range_bench(c: &mut Criterion, bench_name: &str) {
bench_group.finish()
}
pub fn oprf_any_range_cpu(c: &mut Criterion) {
let param = BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
let config = ConfigBuilder::with_custom_parameters(param).build();
let cks = ClientKey::generate(config);
let sks = ServerKey::new(&cks);
rayon::broadcast(|_| set_server_key(sks.clone()));
set_server_key(sks);
oprf_any_range_bench(c, "hlapi::oprf_any_range_cpu");
}
#[cfg(feature = "gpu")]
pub fn oprf_any_range_gpu(c: &mut Criterion) {
let param = BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
let config = ConfigBuilder::with_custom_parameters(param).build();
let cks = ClientKey::generate(config);
let sks = tfhe::CompressedServerKey::new(&cks).decompress_to_gpu();
set_server_key(sks);
oprf_any_range_bench(c, "hlapi::oprf_any_range_gpu");
}
#[cfg(not(feature = "gpu"))]
criterion_group!(oprf_any_range2, oprf_any_range_cpu);
#[cfg(feature = "gpu")]
criterion_group!(oprf_any_range2, oprf_any_range_cpu, oprf_any_range_gpu);
criterion_group!(oprf_any_range2, oprf_any_range);

View File

@@ -3,7 +3,6 @@
mod aes;
mod aes256;
mod oprf;
mod trivium;
mod vector_find;
mod rerand;

View File

@@ -1,89 +0,0 @@
use criterion::Criterion;
#[cfg(feature = "gpu")]
pub mod cuda {
use benchmark::params_aliases::BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
use benchmark::utilities::{write_to_json, OperatorType};
use criterion::{black_box, criterion_group, Criterion};
use tfhe::core_crypto::gpu::CudaStreams;
use tfhe::integer::gpu::ciphertext::CudaUnsignedRadixCiphertext;
use tfhe::integer::gpu::CudaServerKey;
use tfhe::integer::keycache::KEY_CACHE;
use tfhe::integer::{IntegerKeyKind, RadixCiphertext, RadixClientKey};
use tfhe::keycache::NamedParam;
use tfhe::shortint::AtomicPatternParameters;
fn encrypt_bit_stream(cks: &RadixClientKey, bits: &[u64]) -> RadixCiphertext {
RadixCiphertext::from(
bits.iter()
.map(|&bit| cks.encrypt_one_block(bit))
.collect::<Vec<_>>(),
)
}
pub fn cuda_trivium(c: &mut Criterion) {
let bench_name = "integer::cuda::trivium";
let mut bench_group = c.benchmark_group(bench_name);
bench_group
.sample_size(15)
.measurement_time(std::time::Duration::from_secs(60))
.warm_up_time(std::time::Duration::from_secs(5));
let param = BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
let atomic_param: AtomicPatternParameters = param.into();
let key_bits = vec![0u64; 80];
let iv_bits = vec![0u64; 80];
let param_name = param.name();
let streams = CudaStreams::new_multi_gpu();
let (cpu_cks, _) = KEY_CACHE.get_from_params(atomic_param, IntegerKeyKind::Radix);
let sks = CudaServerKey::new(&cpu_cks, &streams);
let cks = RadixClientKey::from((cpu_cks, 1));
let ct_key = encrypt_bit_stream(&cks, &key_bits);
let ct_iv = encrypt_bit_stream(&cks, &iv_bits);
let d_key = CudaUnsignedRadixCiphertext::from_radix_ciphertext(&ct_key, &streams);
let d_iv = CudaUnsignedRadixCiphertext::from_radix_ciphertext(&ct_iv, &streams);
for num_steps in [64, 512] {
let bench_id = format!("{bench_name}::{param_name}::generate_{num_steps}_bits");
bench_group.bench_function(&bench_id, |b| {
b.iter(|| {
black_box(
sks.trivium_generate_keystream(&d_key, &d_iv, num_steps, &streams)
.unwrap(),
);
})
});
write_to_json::<u64, _>(
&bench_id,
atomic_param,
param.name(),
&format!("trivium_generation_{}_bits", num_steps),
&OperatorType::Atomic,
80,
vec![atomic_param.message_modulus().0.ilog2(); 80],
);
}
bench_group.finish();
}
criterion_group!(gpu_trivium, cuda_trivium);
}
#[cfg(feature = "gpu")]
use cuda::gpu_trivium;
fn main() {
#[cfg(feature = "gpu")]
gpu_trivium();
Criterion::default().configure_from_args().final_summary();
}

View File

@@ -137,22 +137,24 @@ pub fn ct_sizes(results_file: &Path) {
println!("\t* SNS CT: {sns_ct_size} bytes");
write_and_record_result(sns_ct_size, &test_name, "sns-ct-size");
if let Some(ns_params) = meta_param.noise_squashing_parameters {
if ns_params.compression_parameters.is_some() {
let test_name = format!("hlapi_compressed_sns_ct_size::{}", param_fhe.name());
let compressed_sns_ct = CompressedSquashedNoiseCiphertextList::builder()
.push(sns_ct)
.build()
.unwrap();
let compressed_sns_ct_size =
bincode::serialize(&compressed_sns_ct).unwrap().len();
println!("\t* Compressed SNS CT: {compressed_sns_ct_size} bytes");
write_and_record_result(
compressed_sns_ct_size,
&test_name,
"compressed-sns-ct-size",
);
}
if meta_param
.noise_squashing_parameters
.unwrap()
.compression_parameters
.is_some()
{
let test_name = format!("hlapi_compressed_sns_ct_size::{}", param_fhe.name());
let compressed_sns_ct = CompressedSquashedNoiseCiphertextList::builder()
.push(sns_ct)
.build()
.unwrap();
let compressed_sns_ct_size = bincode::serialize(&compressed_sns_ct).unwrap().len();
println!("\t* Compressed SNS CT: {compressed_sns_ct_size} bytes");
write_and_record_result(
compressed_sns_ct_size,
&test_name,
"compressed-sns-ct-size",
);
}
}

View File

@@ -531,11 +531,11 @@ pub mod shortint_params {
pub fn get_classical_tuniform_groups() -> Vec<MetaParameters> {
vec![
// Most complete 2_2 parameters set
V1_6_META_PARAM_CPU_2_2_KS_PBS_PKE_TO_SMALL_ZKV2_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_2_2_KS32_PBS_PKE_TO_SMALL_ZKV2_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_1_1_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_3_3_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_4_4_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_2_2_KS_PBS_PKE_TO_SMALL_ZKV2_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_2_2_KS32_PBS_PKE_TO_SMALL_ZKV2_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_1_1_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_3_3_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_4_4_KS_PBS_TUNIFORM_2M128,
]
}
@@ -544,37 +544,37 @@ pub mod shortint_params {
vec![
// Group 2
// CPU ---
V1_6_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_2_KS_PBS_TUNIFORM_2M128,
// GPU ---
V1_6_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_2_KS_PBS_GAUSSIAN_2M128,
// Group 3
// CPU ---
V1_6_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_3_KS_PBS_TUNIFORM_2M128,
// GPU ---
V1_6_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_3_KS_PBS_GAUSSIAN_2M128,
// Group 4
// CPU ---
V1_6_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_6_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_1_1_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_2_2_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_3_3_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
V1_5_META_PARAM_CPU_4_4_MULTI_BIT_GROUP_4_KS_PBS_TUNIFORM_2M128,
// GPU ---
V1_6_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_6_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_1_1_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_2_2_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_3_3_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
V1_5_META_PARAM_GPU_4_4_MULTI_BIT_GROUP_4_KS_PBS_GAUSSIAN_2M128,
]
}
}

View File

@@ -10,38 +10,38 @@ pub mod shortint_params_aliases {
// KS PBS Gaussian
#[cfg(not(feature = "gpu"))]
pub const BENCH_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
#[cfg(feature = "gpu")]
pub const BENCH_PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128: ClassicPBSParameters =
V1_6_PARAM_GPU_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_GPU_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MESSAGE_4_CARRY_4_KS_PBS_GAUSSIAN_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_4_CARRY_4_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MESSAGE_4_CARRY_4_KS_PBS_GAUSSIAN_2M128;
// KS PBS TUniform
pub const BENCH_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MESSAGE_2_CARRY_2_KS_PBS: ClassicPBSParameters =
V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MESSAGE_2_CARRY_2_KS32_PBS: KeySwitch32PBSParameters =
V1_6_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M128;
V1_5_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M128;
pub const BENCH_ALL_CLASSIC_PBS_PARAMETERS: [(&ClassicPBSParameters, &str); 141] =
VEC_ALL_CLASSIC_PBS_PARAMETERS;
@@ -50,136 +50,136 @@ pub mod shortint_params_aliases {
// CPU Gaussian
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
// CPU TUniform
// --- Grouping factor 2
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
// --- Grouping factor 3
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
// --- Grouping factor 4
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters = V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
MultiBitPBSParameters = V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters = V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
MultiBitPBSParameters = V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters = V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
MultiBitPBSParameters = V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters = V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
MultiBitPBSParameters = V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
// GPU Gaussian
// --- Grouping factor 4
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M128;
// GPU TUniform
// --- Grouping factor 2
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
// --- Grouping factor 3
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
// --- Grouping factor 4
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M64;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_1_CARRY_1_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_3_CARRY_3_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128:
MultiBitPBSParameters =
V1_6_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_4_CARRY_4_KS_PBS_TUNIFORM_2M128;
pub const BENCH_ALL_MULTI_BIT_PBS_PARAMETERS: [(&MultiBitPBSParameters, &str); 240] =
VEC_ALL_MULTI_BIT_PBS_PARAMETERS;
@@ -187,88 +187,88 @@ pub mod shortint_params_aliases {
// PKE
pub const BENCH_PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
CompactPublicKeyEncryptionParameters =
V1_6_PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1:
CompactPublicKeyEncryptionParameters =
V1_6_PARAM_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
V1_5_PARAM_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
// KS
pub const BENCH_PARAM_KEYSWITCH_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_KEYSWITCH_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128;
V1_5_PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS_GAUSSIAN_2M128;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
// ZKV1
pub const BENCH_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1:
CompactPublicKeyEncryptionParameters =
V1_6_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
V1_5_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
V1_5_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
V1_5_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV1;
// ZKV2
pub const BENCH_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2:
CompactPublicKeyEncryptionParameters =
V1_6_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
V1_5_PARAM_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
V1_5_PARAM_KEYSWITCH_PKE_TO_BIG_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
pub const BENCH_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2:
ShortintKeySwitchingParameters =
V1_6_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
V1_5_PARAM_KEYSWITCH_PKE_TO_SMALL_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128_ZKV2;
// Compression
pub const BENCH_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128: CompressionParameters =
V1_6_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_COMP_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
CompressionParameters =
V1_6_COMP_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_COMP_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
// Noise Squashing
pub const BENCH_NOISE_SQUASHING_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
NoiseSquashingParameters =
V1_6_NOISE_SQUASHING_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_NOISE_SQUASHING_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_NOISE_SQUASHING_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
NoiseSquashingCompressionParameters =
V1_6_NOISE_SQUASHING_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_NOISE_SQUASHING_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_NOISE_SQUASHING_PARAM_GPU_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
NoiseSquashingParameters =
V1_6_NOISE_SQUASHING_PARAM_GPU_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_NOISE_SQUASHING_PARAM_GPU_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_NOISE_SQUASHING_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
NoiseSquashingParameters =
V1_6_NOISE_SQUASHING_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_NOISE_SQUASHING_PARAM_GPU_MULTI_BIT_GROUP_4_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
pub const BENCH_COMP_NOISE_SQUASHING_PARAM_GPU_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128:
NoiseSquashingCompressionParameters =
V1_6_NOISE_SQUASHING_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
V1_5_NOISE_SQUASHING_COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
#[cfg(feature = "hpu")]
// KS PBS Gaussian for Hpu
pub const BENCH_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_GAUSSIAN_2M64: KeySwitch32PBSParameters =
V1_6_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_GAUSSIAN_2M64;
V1_5_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_GAUSSIAN_2M64;
#[cfg(feature = "hpu")]
// KS PBS TUniform
pub const BENCH_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M64: KeySwitch32PBSParameters =
V1_6_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M64;
V1_5_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M64;
#[cfg(feature = "hpu")]
// KS PBS TUniform pfail -128
pub const BENCH_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M128: KeySwitch32PBSParameters =
V1_6_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M128;
V1_5_HPU_PARAM_MESSAGE_2_CARRY_2_KS32_PBS_TUNIFORM_2M128;
}
#[cfg(any(feature = "shortint", feature = "integer"))]

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@@ -1,6 +1,6 @@
[package]
name = "tfhe"
version = "1.6.0"
version = "1.5.2"
edition = "2021"
readme = "../README.md"
keywords = ["fully", "homomorphic", "encryption", "fhe", "cryptography"]
@@ -66,7 +66,7 @@ tfhe-fft = { version = "0.10.0", path = "../tfhe-fft", features = [
] }
tfhe-ntt = { version = "0.7.0", path = "../tfhe-ntt" }
pulp = { workspace = true, features = ["default"] }
tfhe-cuda-backend = { version = "0.13.0", path = "../backends/tfhe-cuda-backend", optional = true }
tfhe-cuda-backend = { version = "0.13.1", path = "../backends/tfhe-cuda-backend", optional = true }
aligned-vec = { workspace = true, features = ["default", "serde"] }
dyn-stack = { workspace = true, features = ["default"] }
paste = "1.0.7"

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@@ -647,7 +647,7 @@ int main(void) {
assert(ok == 0);
// Then use small parameters, those are gaussians as we don't have small TUniform params
ok = config_builder_use_custom_parameters(
&builder, SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
&builder, SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
ok = config_builder_build(builder, &config);
assert(ok == 0);

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@@ -15,7 +15,7 @@ void test_predefined_keygen_w_serde(void) {
ShortintCompressedCiphertext *cct = NULL;
ShortintCompressedCiphertext *deser_cct = NULL;
ShortintCiphertext *decompressed_ct = NULL;
ShortintPBSParameters params = SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
ShortintPBSParameters params = SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
int gen_keys_ok = shortint_gen_keys_with_parameters(params, &cks, &sks);
assert(gen_keys_ok == 0);
@@ -79,7 +79,7 @@ void test_server_key_trivial_encrypt(void) {
ShortintClientKey *cks = NULL;
ShortintServerKey *sks = NULL;
ShortintCiphertext *ct = NULL;
ShortintPBSParameters params = SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
ShortintPBSParameters params = SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
int gen_keys_ok = shortint_gen_keys_with_parameters(params, &cks, &sks);
assert(gen_keys_ok == 0);
@@ -219,10 +219,10 @@ void test_compressed_public_keygen(ShortintPBSParameters params) {
int main(void) {
test_predefined_keygen_w_serde();
test_custom_keygen();
test_public_keygen(SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128);
test_public_keygen(SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
test_compressed_public_keygen(SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128);
test_compressed_public_keygen(SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
test_public_keygen(SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128);
test_public_keygen(SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
test_compressed_public_keygen(SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128);
test_compressed_public_keygen(SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128);
test_server_key_trivial_encrypt();
return EXIT_SUCCESS;
}

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@@ -41,7 +41,7 @@ void test_shortint_pbs_2_bits_message(void) {
ShortintPBSLookupTable *lookup_table = NULL;
ShortintClientKey *cks = NULL;
ShortintServerKey *sks = NULL;
ShortintPBSParameters params = SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
ShortintPBSParameters params = SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
int gen_keys_ok = shortint_gen_keys_with_parameters(params, &cks, &sks);
assert(gen_keys_ok == 0);
@@ -115,7 +115,7 @@ void test_shortint_bivariate_pbs_2_bits_message(void) {
ShortintBivariatePBSLookupTable *lookup_table = NULL;
ShortintClientKey *cks = NULL;
ShortintServerKey *sks = NULL;
ShortintPBSParameters params = SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
ShortintPBSParameters params = SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M128;
int gen_keys_ok = shortint_gen_keys_with_parameters(params, &cks, &sks);
assert(gen_keys_ok == 0);

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@@ -541,7 +541,7 @@ void test_server_key(void) {
ShortintPBSParameters params = SHORTINT_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M128;
// We don't have TUniform small params, use gaussian instead
ShortintPBSParameters params_small = SHORTINT_V1_6_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128;
ShortintPBSParameters params_small = SHORTINT_V1_5_PARAM_MESSAGE_2_CARRY_2_PBS_KS_GAUSSIAN_2M128;
assert(params.message_modulus == 1 << message_bits);
assert(params.carry_modulus == 1 << carry_bits);

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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="615.0" y="20.0">Throughput</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">whitepaper</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="60.0">276 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="60.0">23.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">no_cmux</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="100.0">238 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="100.0">24.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">overflow</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="140.0">225 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="140.0">21.3 ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Negation (-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">53.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">58.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">62.7 ms</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">52.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">55.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">54.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">76.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">96.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">62.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">61.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">85.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">109 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">171 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">50.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">55.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">75.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">96.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">145 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">101 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">147 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">218 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">402 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">1.16 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">89.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">131 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">195 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">363 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">1.01 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">36.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">57.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">58.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">81.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">84.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">33.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">50.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">51.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">71.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">72.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">37.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">60.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">82.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">105 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">150 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">34.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">50.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">70.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">88.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">128 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">80.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">103 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">128 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">150 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">198 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">70.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">88.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">109 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">131 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">168 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">20.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">20.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">21.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">22.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">23.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">17.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">18.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">18.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">18.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">20.2 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">505 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">1.14 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">2.59 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">5.8 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">13.9 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">457 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">1.0 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">2.2 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">4.99 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">12.5 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">83.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">111 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">142 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">189 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">54.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">75.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">97.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">122 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">150 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">85.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">110 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">133 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">195 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">53.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">75.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">96.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">116 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">164 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">102 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">168 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">188 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">261 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">315 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">86.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">140 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">164 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">220 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">264 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">125 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">182 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">208 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">277 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">321 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">103 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">159 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">183 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">236 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">279 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="540.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">41.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">40.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">42.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">47.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">50.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">35.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">37.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">36.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">39.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">42.0 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">63.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">61.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">64.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">86.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">114 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">50.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">54.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">54.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">76.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">95.2 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">77.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">147 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">174 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">233 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">459 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">70.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">115 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">156 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">208 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">412 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">40.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">37.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">57.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">59.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">79.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">33.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">33.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">52.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">53.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">71.2 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">36.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">36.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">62.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">77.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">101 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">31.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">34.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">51.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">70.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">90.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">57.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">61.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">83.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">102 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">130 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">52.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">52.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">71.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">91.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">108 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">19.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">20.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">21.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">22.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">23.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">17.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">18.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">19.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">19.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">20.7 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div (/)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">245 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">188 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">220 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">342 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">723 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">126 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">182 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">234 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">427 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">799 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Rem (%)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">192 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">308 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">424 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">664 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">244 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">334 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">462 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">657 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">1.19 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">20.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">20.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">21.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">23.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">24.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">17.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">18.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">19.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">19.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">19.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">19.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">21.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">21.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">22.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">23.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">17.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">18.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">18.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">20.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">21.0 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Negation (-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">706 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">319 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">151 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">74.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">36.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">824 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">388 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">184 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">88.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">42.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">658 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">324 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">149 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">72.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">34.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">752 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">368 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">172 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">82.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">39.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">247 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">59 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">15.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">4.13 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">1.04 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">283 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">65.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">17.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">4.68 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">1.17 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">1.4 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">640 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">335 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">163 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">85.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">1.65 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">748 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">391 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">195 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">102 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">1.4 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">635 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">302 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">145 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">52.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">1.62 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">745 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">355 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">170 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">65.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">415 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">196 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">95.9 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">47.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">21.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">488 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">239 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">117 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">57.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">25.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">1.84 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">939 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">475 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">233 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">116 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">2.14 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">1.06 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">537 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">270 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">136 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">36.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">11.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">3.08 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">0.75 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">0.12 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">42.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">12.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">3.51 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">0.914 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">0.143 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">397 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">153 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">63.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">27.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">12.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">469 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">182 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">74.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">32.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">14.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">340 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">142 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">60.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">27.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">12.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">397 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">170 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">72.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">32.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">14.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">528 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">202 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">88.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">35.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">15.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">621 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">235 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">104 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">41.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">17.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">459 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">180 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">82.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">34.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">14.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">536 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">207 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">96.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">40.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">17.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="540.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">909 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">457 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">228 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">111 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">57.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">699 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">351 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">175 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">87.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">43.4 ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">716 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">329 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">152 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">72.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">36.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">836 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">383 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">184 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">87.9 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">42.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">556 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">147 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">39.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">13.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">4.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">659 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">182 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">52.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">16.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">4.79 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">2.36 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">1.42 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">642 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">337 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">164 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">2.73 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">1.68 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">757 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">399 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">198 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">2.33 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">1.39 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">631 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">295 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">140 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">2.82 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">1.64 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">747 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">356 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">173 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">1.01 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">547 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">257 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">126 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">61.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">1.18 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">645 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">305 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">150 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">73.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.95 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">961 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">486 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">241 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">118 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">2.31 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.12 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">555 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">276 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">139 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div (/)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">157 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">55 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">19.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">6.57 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">1.78 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">196 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">69.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">23.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">7.63 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">2.13 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Rem (%)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">96.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">35 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">12.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">4.72 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">1.36 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">114 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">44.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">16.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">5.78 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">1.66 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">1.88 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">931 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">474 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">228 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">117 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">2.13 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">1.07 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">546 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">270 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">138 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">1.83 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">921 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">473 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">233 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">116 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">2.14 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">1.07 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">541 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">270 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">137 ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">10.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">13.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">115 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="60.0">1.3 s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">9.54 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">12.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">111 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="60.0">1.39 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">MB-PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">3.53 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="100.0">4.16 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="100.0">33.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="100.0">232 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">4.02 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">KS - PBS</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">KS - PBS</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">KS - MB-PBS</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Inputs (slow proof / fast verify)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="370.0" y="20.0">Proving</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="510.0" y="20.0">Verifying</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="650.0" y="20.0">Verify + expand</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">1xFheUint64 (64 bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="60.0">292 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">31.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="60.0">51.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">4xFheUint64 (256 bits) </text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="100.0">294 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">31.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="100.0">56.2 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">32xFheUint64 (2048 bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="140.0">317 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">33.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="140.0">167 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Inputs (slow proof / fast verify)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="370.0" y="20.0">Proving</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="510.0" y="20.0">Verifying</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="650.0" y="20.0">Verify + expand</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">1xFheUint64 (64 bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="60.0">7.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">988 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="60.0">201 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">4xFheUint64 (256 bits) </text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="100.0">7.23 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">987 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="100.0">59.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">32xFheUint64 (2048 bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="370.0" y="140.0">7.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">1.11 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="650.0" y="140.0">8.85 ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Transfer implementation</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="405.0" y="20.0">Latency</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="615.0" y="20.0">Throughput</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">whitepaper</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="60.0">30.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="60.0">174 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">no_cmux</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="100.0">26.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="100.0">195 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">overflow</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="140.0">23.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="140.0">232 ops/s</text>
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<line stroke="white" stroke-width="2" x1="0" y1="80" x2="720" y2="80"/>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Operation \ Size</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="342.0" y="13.333333333333334">FheUint</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="594.0" y="29.666666666666668">64</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="678.0" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="678.0" y="29.666666666666668">128</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">4.74 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Negation (-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">4.57 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">5.27 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">6.91 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">8.97 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">13.4 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">9.26 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">12.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">18.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">31.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">79.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">3.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">5.04 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">5.42 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">7.29 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">8.3 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">5.17 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">6.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">8.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">10.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">13.3 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">8.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">10.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">12.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">14.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">18.3 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.44 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">1.73 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">2.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">2.28 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">50.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">93.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">205 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">502 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">1.36 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">9.01 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">11.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">14.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">17.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">22.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">9.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">11.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">14.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">17.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">22.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">10.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">13.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">15.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">20.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">24.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">9.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">14.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">16.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">21.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">26.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">3.13 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">3.47 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">3.93 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">4.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">5.66 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">7.06 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">9.08 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">13.7 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">4.55 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">5.26 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">7.07 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">9.07 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">13.7 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">9.36 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">12.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">18.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">32.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">81.4 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">3.23 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">4.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">5.25 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">7.03 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">8.71 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">4.59 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">6.08 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">8.47 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">10.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">13.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">7.58 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">9.52 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">12.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">15.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">18.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">1.38 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">1.58 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">1.81 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">1.99 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">2.34 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">46.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">87.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">212 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">514 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">1.4 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">8.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">11.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">14.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">18.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">23.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">8.89 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">11.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">14.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">18.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">23.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">9.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">13.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">16.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">20.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">25.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">9.22 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">13.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">16.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">21.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">26.7 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="540.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">3.02 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">3.48 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">3.98 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">4.7 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">35.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">7.22 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">10.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">15.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">21.7 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">5.44 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">5.85 ms</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">3.27 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">3.34 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">5.21 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">5.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">8.65 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">4.65 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">5.59 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">7.31 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">9.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">11.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">3.97 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">4.98 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">7.21 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">9.19 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">12.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">7.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">8.99 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">11.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">13.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">16.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">7.01 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">8.59 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">11.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">13.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">17.4 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.47 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.65 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">1.84 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">2.16 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">2.59 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.42 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">1.91 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">2.15 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">2.65 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div (/)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">11.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">16.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">23.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">35.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">61.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">11.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">16.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">23.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">36.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">64.4 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Rem (%)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">24.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">31.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">44.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">64.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">106 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">23.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">31.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">45.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">66.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">110 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">1.47 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">1.65 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">1.77 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">2.04 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">2.31 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">1.41 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">1.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">1.83 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">2.02 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">2.36 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">1.48 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">1.66 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">1.79 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">2.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">2.32 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">1.41 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">1.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">1.83 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">2.02 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">2.36 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Negation (-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">713 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">703 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">685 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">648 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">419 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">718 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">714 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">688 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">637 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">416 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">679 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">693 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">655 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">635 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">415 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">729 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">718 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">682 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">646 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">414 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">542 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">501 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">248 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">64.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">13.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">550 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">502 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">258 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">66.9 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">13.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">564 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">538 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">546 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">525 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">376 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">511 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">515 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">500 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">489 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">342 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">392 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">382 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">379 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">347 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">236 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">349 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">355 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">338 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">311 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">230 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">308 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">305 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">291 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">247 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">157 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">284 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">283 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">265 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">227 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">151 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">2.35 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">2.73 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">2.67 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">2.23 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">1.55 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">2.94 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">2.93 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">2.72 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">2.21 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">1.5 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">61.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">38.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">90.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">55.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">21.8 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">9.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">9.91 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">2.79 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">623 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">581 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">418 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">213 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">97.3 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">666 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">590 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">400 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">203 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">95.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">634 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">586 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">418 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">213 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">97.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">662 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">607 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">399 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">203 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">95.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">368 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">355 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">370 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">367 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">347 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">308 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">198 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">194 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">409 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">374 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">364 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">306 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">199 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">430 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">414 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">394 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">325 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">200 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="540.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">863 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">1.15 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">1.06 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">819 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">392 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="540.0">1.24 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">1.18 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="540.0">1.08 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="540.0">789 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="540.0">376 ops/s</text>
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<line stroke="white" stroke-width="2" x1="0" y1="40" x2="720" y2="40"/>
<line stroke="white" stroke-width="2" x1="0" y1="80" x2="720" y2="80"/>

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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">538 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">580 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">546 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">530 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">371 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">600 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">586 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">573 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">543 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">376 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">422 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">394 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">364 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">204 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">70.4 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">429 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">396 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">375 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">202 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">67.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">490 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">481 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">475 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">470 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">356 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">501 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">513 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">487 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">494 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">360 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">338 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">336 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">334 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">302 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">230 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">346 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">352 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">342 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">310 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">238 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">275 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">269 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">277 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">279 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">264 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">223 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">153 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">226 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">156 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.26 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.51 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">1.84 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">1.66 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">2.13 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">2.13 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">2.04 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">1.77 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">1.27 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div (/)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">288 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">281 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">278 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">255 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">89.6 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">24.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">261 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">87.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">23.0 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Rem (%)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">137 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">130 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">121 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">72.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">17.5 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">140 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">132 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">126 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">74.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">17.1 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">1.37 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">1.65 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">2.03 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">1.88 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">1.37 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">2.19 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">2.2 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">2.12 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">1.82 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">1.3 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">1.36 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">1.67 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">2.03 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">1.87 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">1.36 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">2.19 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">2.18 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">2.09 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">1.8 k.ops/s</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">1.29 k.ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Operation \ Precision (bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="29.666666666666668">2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="29.666666666666668">4</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="29.666666666666668">6</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="29.666666666666668">8</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="20.0">2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="20.0">4</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="20.0">6</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="20.0">8</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">8.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">9.45 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">64.6 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">8.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">3.93 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">65.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="60.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">MB-PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">818 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="100.0">990 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="100.0">11.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">864 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="100.0">1.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="100.0">10.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="100.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">KS - PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="140.0">8.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="140.0">9.53 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="140.0">65.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="140.0">8.27 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="140.0">4.02 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="140.0">66.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="140.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">KS - MB-PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="180.0">930 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="180.0">1.13 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="180.0">12.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="180.0">976 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="180.0">1.19 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="180.0">11.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="180.0">N/A</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Operation \ Precision (bits)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="29.666666666666668">2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="29.666666666666668">4</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="29.666666666666668">6</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="29.666666666666668">8</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="352.5" y="20.0">2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="457.5" y="20.0">4</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="562.5" y="20.0">6</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="667.5" y="20.0">8</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">7.74 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">9.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">59.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="60.0">7.83 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="60.0">3.76 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="60.0">60.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="60.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">MB-PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">1.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="100.0">912 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="100.0">10.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="100.0">1.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="100.0">972 us</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="100.0">9.88 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="100.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">KS - PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="140.0">7.84 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="140.0">9.16 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="140.0">60.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="140.0">7.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="140.0">3.88 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="140.0">61.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="140.0">N/A</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">KS - MB-PBS</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="180.0">1.74 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="180.0">1.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="180.0">11.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="352.5" y="180.0">1.82 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="457.5" y="180.0">1.11 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="562.5" y="180.0">10.5 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="667.5" y="180.0">N/A</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Transfer implementation</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="405.0" y="20.0">Latency</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="615.0" y="20.0">Throughput</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">whitepaper</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="60.0">24.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="60.0">41.2 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">hpu_optim</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="100.0">24.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="100.0">42.7 ops/s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">hpu_simd</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="405.0" y="140.0">138 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="615.0" y="140.0">87.6 ops/s</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="6" y="20.0">Operation \ Size</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="342.0" y="13.333333333333334">FheUint</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="594.0" y="29.666666666666668">64</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="678.0" y="13.333333333333334">FheUint</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="bold" fill="white" x="678.0" y="29.666666666666668">128</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="60.0">2.58 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">3.36 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">4.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">8.62 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">15.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Mul (x)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">4.89 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">10.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">37.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">122 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">485 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="140.0">2.54 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">3.29 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">4.96 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">6.98 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">12.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Comparisons (ge, gt, le, lt)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">2.55 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">3.31 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">5.06 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">6.94 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">12.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Max / Min (max, min)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="220.0">3.23 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">4.82 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">7.38 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">11.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">21.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="260.0">1.14 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">1.28 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">2.15 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">3.08 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">5.71 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Div / Rem (/, %)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">41.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">102 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">278 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">925 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">3.45 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="340.0">3.29 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">5.13 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">29.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">82.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">290 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="380.0">3.36 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">6.22 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">34.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">88.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">318 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">5.38 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">5.17 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">9.03 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">15.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">24.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Log2</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">5.17 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">8.97 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">15.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">24.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Select</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">1.24 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">2.17 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">3.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">5.69 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">9.91 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="60.0">Negation (-)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="60.0">3.25 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="60.0">4.76 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="60.0">8.4 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="60.0">15.2 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="100.0">Add / Sub (+,-)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="100.0">2.55 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="100.0">3.2 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="100.0">4.69 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="100.0">8.35 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="100.0">15.1 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Mul (x)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="140.0">10.1 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="140.0">37.0 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="140.0">122 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="140.0">484 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="180.0">Equal / Not Equal (eq, ne)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="180.0">2.47 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="180.0">3.18 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="180.0">4.88 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="180.0">6.77 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="180.0">11.9 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="220.0">Comparisons (ge, gt, le, lt)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="220.0">3.18 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="220.0">4.91 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="220.0">6.81 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="220.0">11.9 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="260.0">Max / Min (max, min)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="260.0">4.68 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="260.0">7.27 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="260.0">11.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="260.0">21.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="300.0">Bitwise operations (&amp;, |, ^)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="300.0">1.12 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="300.0">1.15 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="300.0">2.05 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="300.0">2.95 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="300.0">5.58 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="340.0">Div / Rem (/, %)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="340.0">101 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="340.0">276 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="340.0">912 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="340.0">3.42 s</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="380.0">Left / Right Shifts (&lt;&lt;, &gt;&gt;)</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="380.0">4.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="380.0">10.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="380.0">25.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="380.0">59.8 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="420.0">Left / Right Rotations (left_rotate, right_rotate)</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="420.0">2.61 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="420.0">5.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="420.0">12.3 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="420.0">27.9 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="420.0">64.0 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="460.0">Leading / Trailing zeros/ones</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="460.0">5.19 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="460.0">5.04 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="460.0">8.87 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="460.0">14.7 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="460.0">23.7 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="500.0">Log2</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="342.0" y="500.0">3.63 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="500.0">5.13 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="510.0" y="500.0">8.82 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="594.0" y="500.0">14.8 ms</text>
<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="678.0" y="500.0">23.6 ms</text>
<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="540.0">Select</text>
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<text dominant-baseline="middle" text-anchor="middle" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="426.0" y="540.0">2.02 ms</text>
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<text dominant-baseline="middle" text-anchor="start" font-family="Arial" font-size="14" font-weight="normal" fill="black" x="6" y="140.0">Div / Rem (/, %)</text>
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Before

Width:  |  Height:  |  Size: 5.7 KiB

After

Width:  |  Height:  |  Size: 7.8 KiB

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