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Mixture derivatives now use std::size_t instead of int everywhere

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Signed-off-by: Ian Bell <ian.h.bell@gmail.com>
This commit is contained in:
Ian Bell
2014-08-25 18:36:47 +02:00
parent a6850b8f19
commit 289c1b3b61
2 changed files with 57 additions and 57 deletions
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56
src/Backends/Helmholtz/MixtureDerivatives.cpp
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@@ -2,58 +2,58 @@
namespace CoolProp{
long double MixtureDerivatives::dalphar_dxi(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dalphar_dxi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS.components[i]->pEOS->baser(HEOS._tau, HEOS._delta) + HEOS.Excess.dalphar_dxi(HEOS._tau, HEOS._delta, HEOS.mole_fractions, i);
}
long double MixtureDerivatives::d2alphar_dxi_dTau(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::d2alphar_dxi_dTau(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS.components[i]->pEOS->dalphar_dTau(HEOS._tau, HEOS._delta) + HEOS.Excess.d2alphar_dxi_dTau(HEOS._tau, HEOS._delta, HEOS.mole_fractions, i);
}
long double MixtureDerivatives::d2alphar_dxi_dDelta(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::d2alphar_dxi_dDelta(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS.components[i]->pEOS->dalphar_dDelta(HEOS._tau, HEOS._delta) + HEOS.Excess.d2alphar_dxi_dDelta(HEOS._tau, HEOS._delta, HEOS.mole_fractions, i);
}
long double MixtureDerivatives::d2alphardxidxj(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::d2alphardxidxj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
return 0 + HEOS.Excess.d2alphardxidxj(HEOS._tau, HEOS._delta, HEOS.mole_fractions, i, j);
}
long double MixtureDerivatives::ln_fugacity_coefficient(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::ln_fugacity_coefficient(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS.alphar() + ndalphar_dni__constT_V_nj(HEOS, i)-log(1+HEOS._delta.pt()*HEOS.dalphar_dDelta());
}
long double MixtureDerivatives::dln_fugacity_coefficient_dT__constrho_n(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dln_fugacity_coefficient_dT__constrho_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
double dtau_dT = -HEOS._tau.pt()/HEOS._T; //[1/K]
return (HEOS.dalphar_dTau() + d_ndalphardni_dTau(HEOS, i)-1/(1+HEOS._delta.pt()*HEOS.dalphar_dDelta())*(HEOS._delta.pt()*HEOS.d2alphar_dDelta_dTau()))*dtau_dT;
}
long double MixtureDerivatives::dln_fugacity_coefficient_drho__constT_n(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dln_fugacity_coefficient_drho__constT_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
double ddelta_drho = 1/HEOS._reducing.rhomolar; //[m^3/mol]
return (HEOS.dalphar_dDelta() + d_ndalphardni_dDelta(HEOS, i)-1/(1+HEOS._delta.pt()*HEOS.dalphar_dDelta())*(HEOS._delta.pt()*HEOS.d2alphar_dDelta2()+HEOS.dalphar_dDelta()))*ddelta_drho;
}
long double MixtureDerivatives::dnalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dnalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
// GERG Equation 7.42
return HEOS.alphar() + ndalphar_dni__constT_V_nj(HEOS, i);
}
long double MixtureDerivatives::d2nalphar_dni_dT(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::d2nalphar_dni_dT(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return -HEOS._tau.pt()/HEOS._T*(HEOS.dalphar_dTau() + d_ndalphardni_dTau(HEOS, i));
}
long double MixtureDerivatives::dln_fugacity_coefficient_dT__constp_n(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dln_fugacity_coefficient_dT__constp_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
double T = HEOS._reducing.T/HEOS._tau.pt();
long double R_u = HEOS.gas_constant();
return d2nalphar_dni_dT(HEOS, i) + 1/T-partial_molar_volume(HEOS, i)/(R_u*T)*dpdT__constV_n(HEOS);
}
long double MixtureDerivatives::partial_molar_volume(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::partial_molar_volume(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return -ndpdni__constT_V_nj(HEOS, i)/ndpdV__constT_n(HEOS);
}
long double MixtureDerivatives::dln_fugacity_coefficient_dp__constT_n(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::dln_fugacity_coefficient_dp__constT_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
// GERG equation 7.30
long double R_u = HEOS.gas_constant();
@@ -63,21 +63,21 @@ long double MixtureDerivatives::dln_fugacity_coefficient_dp__constT_n(HelmholtzE
return term1 - term2;
}
long double MixtureDerivatives::dln_fugacity_coefficient_dxj__constT_p_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::dln_fugacity_coefficient_dxj__constT_p_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
// Gernert 3.115
long double R_u = HEOS.gas_constant();
// partial molar volume is -dpdn/dpdV, so need to flip the sign here
return d2nalphar_dxi_dnj__constT_V(HEOS, i, j) - partial_molar_volume(HEOS, i)/(R_u*HEOS._T)*dpdxj__constT_V_xi(HEOS, j);
}
long double MixtureDerivatives::dpdxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j)
long double MixtureDerivatives::dpdxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j)
{
// Gernert 3.130
long double R_u = HEOS.gas_constant();
return HEOS._rhomolar*R_u*HEOS._T*(ddelta_dxj__constT_V_xi(HEOS, j)*HEOS.dalphar_dDelta()+HEOS._delta.pt()*d_dalpharddelta_dxj__constT_V_xi(HEOS, j));
}
long double MixtureDerivatives::d_dalpharddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j)
long double MixtureDerivatives::d_dalpharddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j)
{
// Gernert Equation 3.134 (Catch test provided)
return HEOS.d2alphar_dDelta2()*ddelta_dxj__constT_V_xi(HEOS, j)
@@ -85,24 +85,24 @@ long double MixtureDerivatives::d_dalpharddelta_dxj__constT_V_xi(HelmholtzEOSMix
+ d2alphar_dxi_dDelta(HEOS, j);
}
long double MixtureDerivatives::dalphar_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j)
long double MixtureDerivatives::dalphar_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j)
{
//Gernert 3.119 (Catch test provided)
return HEOS.dalphar_dDelta()*ddelta_dxj__constT_V_xi(HEOS, j)+HEOS.dalphar_dTau()*dtau_dxj__constT_V_xi(HEOS, j)+dalphar_dxi(HEOS, j);
}
long double MixtureDerivatives::d_ndalphardni_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::d_ndalphardni_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
// Gernert 3.118
return d_ndalphardni_dxj__constdelta_tau_xi(HEOS, i,j)
+ ddelta_dxj__constT_V_xi(HEOS, j)*d_ndalphardni_dDelta(HEOS, i)
+ dtau_dxj__constT_V_xi(HEOS, j)*d_ndalphardni_dTau(HEOS, i);
}
long double MixtureDerivatives::ddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j)
long double MixtureDerivatives::ddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j)
{
// Gernert 3.121 (Catch test provided)
return -HEOS._delta.pt()/HEOS._reducing.rhomolar*HEOS.Reducing.p->drhormolardxi__constxj(HEOS.mole_fractions,j);
}
long double MixtureDerivatives::dtau_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j)
long double MixtureDerivatives::dtau_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j)
{
// Gernert 3.122 (Catch test provided)
return 1/HEOS._T*HEOS.Reducing.p->dTrdxi__constxj(HEOS.mole_fractions,j);
@@ -123,7 +123,7 @@ long double MixtureDerivatives::ndpdV__constT_n(HelmholtzEOSMixtureBackend &HEOS
long double R_u = HEOS.gas_constant();
return -pow(HEOS._rhomolar,2)*R_u*HEOS._T*(1+2*HEOS._delta.pt()*HEOS.dalphar_dDelta()+pow(HEOS._delta.pt(),2)*HEOS.d2alphar_dDelta2());
}
long double MixtureDerivatives::ndpdni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::ndpdni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
// Eqn 7.64 and 7.63
long double R_u = HEOS.gas_constant();
@@ -138,7 +138,7 @@ long double MixtureDerivatives::ndpdni__constT_V_nj(HelmholtzEOSMixtureBackend &
return HEOS._rhomolar*R_u*HEOS._T*(1+HEOS._delta.pt()*HEOS.dalphar_dDelta()*(2-1/HEOS._reducing.rhomolar*ndrhorbar_dni__constnj)+HEOS._delta.pt()*nd2alphar_dni_dDelta);
}
long double MixtureDerivatives::ndalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::ndalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
double term1 = HEOS._delta.pt()*HEOS.dalphar_dDelta()*(1-1/HEOS._reducing.rhomolar*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions,i));
double term2 = HEOS._tau.pt()*HEOS.dalphar_dTau()*(1/HEOS._reducing.T)*HEOS.Reducing.p->ndTrdni__constnj(HEOS.mole_fractions,i);
@@ -151,20 +151,20 @@ long double MixtureDerivatives::ndalphar_dni__constT_V_nj(HelmholtzEOSMixtureBac
double term3 = dalphar_dxi(HEOS, i);
return term1 + term2 + term3 - s;
}
long double MixtureDerivatives::ndln_fugacity_coefficient_dnj__constT_p(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::ndln_fugacity_coefficient_dnj__constT_p(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
long double R_u = HEOS.gas_constant();
return nd2nalphardnidnj__constT_V(HEOS, j, i) + 1 - partial_molar_volume(HEOS, j)/(R_u*HEOS._T)*ndpdni__constT_V_nj(HEOS, i);
}
long double MixtureDerivatives::nddeltadni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::nddeltadni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS._delta.pt()-HEOS._delta.pt()/HEOS._reducing.rhomolar*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions, i);
}
long double MixtureDerivatives::ndtaudni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::ndtaudni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
return HEOS._tau.pt()/HEOS._reducing.T*HEOS.Reducing.p->ndTrdni__constnj(HEOS.mole_fractions, i);
}
long double MixtureDerivatives::d_ndalphardni_dxj__constdelta_tau_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::d_ndalphardni_dxj__constdelta_tau_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
double line1 = HEOS._delta.pt()*d2alphar_dxi_dDelta(HEOS, j)*(1-1/HEOS._reducing.rhomolar*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions, i));
double line2 = -HEOS._delta.pt()*HEOS.dalphar_dDelta()*(1/HEOS._reducing.rhomolar)*(HEOS.Reducing.p->d_ndrhorbardni_dxj__constxi(HEOS.mole_fractions, i, j)-1/HEOS._reducing.rhomolar*HEOS.Reducing.p->drhormolardxi__constxj(HEOS.mole_fractions,j)*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions,i));
@@ -178,7 +178,7 @@ long double MixtureDerivatives::d_ndalphardni_dxj__constdelta_tau_xi(HelmholtzEO
double line5 = d2alphardxidxj(HEOS, i,j)-dalphar_dxi(HEOS, j)-s;
return line1+line2+line3+line4+line5;
}
long double MixtureDerivatives::nd2nalphardnidnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, int i, int j)
long double MixtureDerivatives::nd2nalphardnidnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j)
{
double line0 = ndalphar_dni__constT_V_nj(HEOS, j); // First term from 7.46
double line1 = d_ndalphardni_dDelta(HEOS, i)*nddeltadni__constT_V_nj(HEOS, j);
@@ -191,7 +191,7 @@ long double MixtureDerivatives::nd2nalphardnidnj__constT_V(HelmholtzEOSMixtureBa
double line3 = d_ndalphardni_dxj__constdelta_tau_xi(HEOS, i, j)-summer;
return line0 + line1 + line2 + line3;
}
long double MixtureDerivatives::d_ndalphardni_dDelta(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::d_ndalphardni_dDelta(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
// The first line
double term1 = (HEOS._delta.pt()*HEOS.d2alphar_dDelta2()+HEOS.dalphar_dDelta())*(1-1/HEOS._reducing.rhomolar*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions, i));
@@ -208,7 +208,7 @@ long double MixtureDerivatives::d_ndalphardni_dDelta(HelmholtzEOSMixtureBackend
return term1 + term2 + term3;
}
long double MixtureDerivatives::d_ndalphardni_dTau(HelmholtzEOSMixtureBackend &HEOS, int i)
long double MixtureDerivatives::d_ndalphardni_dTau(HelmholtzEOSMixtureBackend &HEOS, std::size_t i)
{
// The first line
double term1 = HEOS._delta.pt()*HEOS.d2alphar_dDelta_dTau()*(1-1/HEOS._reducing.rhomolar*HEOS.Reducing.p->ndrhorbardni__constnj(HEOS.mole_fractions, i));

58
src/Backends/Helmholtz/MixtureDerivatives.h
View File

@@ -29,10 +29,10 @@ and not pollute the HelmholtzEOSMixtureBackend namespace
class MixtureDerivatives{
public:
static long double dalphar_dxi(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d2alphar_dxi_dTau(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d2alphar_dxi_dDelta(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d2alphardxidxj(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double dalphar_dxi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
static long double d2alphar_dxi_dTau(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
static long double d2alphar_dxi_dDelta(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
static long double d2alphardxidxj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
/** \brief GERG 2004 Monograph equation 7.61
*
@@ -64,7 +64,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double ndpdni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double ndpdni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 monograph Eqn. 7.32
*
@@ -74,25 +74,25 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double partial_molar_volume(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double partial_molar_volume(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief Natural logarithm of the fugacity coefficient
*
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double ln_fugacity_coefficient(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double ln_fugacity_coefficient(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief Derivative of the natural logarithm of the fugacity coefficient with respect to T
*
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dln_fugacity_coefficient_dT__constrho_n(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double dln_fugacity_coefficient_dT__constrho_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief Derivative of the natural logarithm of the fugacity coefficient with respect to T
*
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dln_fugacity_coefficient_drho__constT_n(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double dln_fugacity_coefficient_drho__constT_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph Eqn. 7.29
*
@@ -103,7 +103,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dln_fugacity_coefficient_dT__constp_n(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double dln_fugacity_coefficient_dT__constp_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief Table B4, Kunz, JCED, 2012 for the original term and the subsequent substitutions
*
@@ -119,10 +119,10 @@ class MixtureDerivatives{
* \f}
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double ndalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double ndalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/// GERG Equation 7.42
static long double dnalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double dnalphar_dni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph Eqn. 7.30
*
@@ -132,7 +132,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dln_fugacity_coefficient_dp__constT_n(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double dln_fugacity_coefficient_dp__constT_n(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph Equation 7.31
*
@@ -146,7 +146,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double ndln_fugacity_coefficient_dnj__constT_p(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double ndln_fugacity_coefficient_dnj__constT_p(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
/** \brief Gernert Equation 3.115
*
@@ -156,7 +156,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dln_fugacity_coefficient_dxj__constT_p_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double dln_fugacity_coefficient_dxj__constT_p_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
/** \brief Gernert Equation 3.130
*
@@ -166,7 +166,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double dpdxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j);
static long double dpdxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j);
/** \brief Gernert Equation 3.117
*
@@ -176,27 +176,27 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double d2nalphar_dxi_dnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, int i, int j){ return MixtureDerivatives::d_ndalphardni_dxj__constT_V_xi(HEOS, i, j) + MixtureDerivatives::dalphar_dxj__constT_V_xi(HEOS, j);};
static long double d2nalphar_dxi_dnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j){ return MixtureDerivatives::d_ndalphardni_dxj__constT_V_xi(HEOS, i, j) + MixtureDerivatives::dalphar_dxj__constT_V_xi(HEOS, j);};
/// Gernert Equation 3.119
/// Catch test provided
static long double dalphar_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j);
static long double dalphar_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j);
/// Gernert Equation 3.118
/// Catch test provided
static long double d_ndalphardni_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double d_ndalphardni_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
/// Gernert Equation 3.134
/// Catch test provided
static long double d_dalpharddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j);
static long double d_dalpharddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j);
/// Gernert Equation 3.121
/// Catch test provided
static long double ddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j);
static long double ddelta_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j);
/// Gernert Equation 3.122
/// Catch test provided
static long double dtau_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, int j);
static long double dtau_dxj__constT_V_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t j);
/** \brief GERG 2004 Monograph, equations 7.44 and 7.51
*
@@ -209,7 +209,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double d2nalphar_dni_dT(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d2nalphar_dni_dT(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph Equation 7.51 and Table B4, Kunz, JCED, 2012
*
@@ -221,7 +221,7 @@ class MixtureDerivatives{
* \f}
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double d_ndalphardni_dTau(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d_ndalphardni_dTau(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph Equation 7.50 and Table B4, Kunz, JCED, 2012
*
@@ -233,7 +233,7 @@ class MixtureDerivatives{
* \f}
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double d_ndalphardni_dDelta(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double d_ndalphardni_dDelta(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph equation 7.41
*
@@ -254,7 +254,7 @@ class MixtureDerivatives{
* \f}
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double nd2nalphardnidnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double nd2nalphardnidnj__constT_V(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
/** \brief GERG 2004 Monograph equation 7.48
*
@@ -264,7 +264,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double nddeltadni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double nddeltadni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph equation 7.49
*
@@ -274,7 +274,7 @@ class MixtureDerivatives{
* \f]
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double ndtaudni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, int i);
static long double ndtaudni__constT_V_nj(HelmholtzEOSMixtureBackend &HEOS, std::size_t i);
/** \brief GERG 2004 Monograph equation 7.52
*
@@ -288,7 +288,7 @@ class MixtureDerivatives{
* \f}
* @param HEOS The HelmholtzEOSMixtureBackend to be used
*/
static long double d_ndalphardni_dxj__constdelta_tau_xi(HelmholtzEOSMixtureBackend &HEOS, int i, int j);
static long double d_ndalphardni_dxj__constdelta_tau_xi(HelmholtzEOSMixtureBackend &HEOS, std::size_t i, std::size_t j);
}; /* class MixtureDerivatives */