diff --git a/EvtGenModels/EvtVubAC.hh b/EvtGenModels/EvtVubAC.hh
deleted file mode 100644
index 675d993..0000000
--- a/EvtGenModels/EvtVubAC.hh
+++ /dev/null
@@ -1,81 +0,0 @@
-
-/***********************************************************************
-* Copyright 1998-2020 CERN for the benefit of the EvtGen authors *
-* *
-* This file is part of EvtGen. *
-* *
-* EvtGen is free software: you can redistribute it and/or modify *
-* it under the terms of the GNU General Public License as published by *
-* the Free Software Foundation, either version 3 of the License, or *
-* (at your option) any later version. *
-* *
-* EvtGen is distributed in the hope that it will be useful, *
-* but WITHOUT ANY WARRANTY; without even the implied warranty of *
-* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
-* GNU General Public License for more details. *
-* *
-* You should have received a copy of the GNU General Public License *
-* along with EvtGen. If not, see . *
-***********************************************************************/
-
-#ifndef EVTVUBAC_HH
-#define EVTVUBAC_HH
-
-#include "EvtGenBase/EvtDecayIncoherent.hh"
-
-#include
-
-class EvtParticle;
-
-// Analytic Coupling Model (based on hep-ph/0608047 by Aglietti, Ferrera and Ricciardi)
-
-class EvtVubAC : public EvtDecayIncoherent {
- public:
- std::string getName() override;
-
- EvtDecayBase* clone() override;
-
- void initProbMax() override;
-
- void init() override;
-
- void decay( EvtParticle* Bmeson ) override;
-
- private:
- // Input parameters
- double mB;
-
- double alphaSmZ;
- double alphaSmB;
- double c;
- double q;
- double k;
-
- double CF;
- double CA;
-
- double beta0;
-
- std::vector gvars;
-
- double rate( double u, double w, double xb );
- double wreg( double w );
- double alphaS( double Q );
- double PolyLog( double v, double z );
- double ureg( double u );
- double ularge( double u );
- double Coeff( double u, double w, double xb );
- double Coeff1( double w, double xb );
- double Coeff0( double w, double xb );
- double Sigma( double x1, double x2 );
- double max( double ub, double lb );
- double d1( double u, double w, double xb );
- double d( double u, double w, double xb );
- double f( double w );
- double Lambda2( double x, double alphaSmZ );
- int Bisect( double x1, double x2, double precision, double& root,
- const double alphaSmZ );
- double FindRoot( const double alphaSmZ );
-};
-
-#endif
diff --git a/src/EvtGenModels/EvtVubAC.cpp b/src/EvtGenModels/EvtVubAC.cpp
deleted file mode 100644
index 40e6651..0000000
--- a/src/EvtGenModels/EvtVubAC.cpp
+++ /dev/null
@@ -1,63387 +0,0 @@
-
-/***********************************************************************
-* Copyright 1998-2020 CERN for the benefit of the EvtGen authors *
-* *
-* This file is part of EvtGen. *
-* *
-* EvtGen is free software: you can redistribute it and/or modify *
-* it under the terms of the GNU General Public License as published by *
-* the Free Software Foundation, either version 3 of the License, or *
-* (at your option) any later version. *
-* *
-* EvtGen is distributed in the hope that it will be useful, *
-* but WITHOUT ANY WARRANTY; without even the implied warranty of *
-* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
-* GNU General Public License for more details. *
-* *
-* You should have received a copy of the GNU General Public License *
-* along with EvtGen. If not, see . *
-***********************************************************************/
-
-#include "EvtGenModels/EvtVubAC.hh"
-
-#include "EvtGenBase/EvtGenKine.hh"
-#include "EvtGenBase/EvtPDL.hh"
-#include "EvtGenBase/EvtParticle.hh"
-#include "EvtGenBase/EvtPatches.hh"
-#include "EvtGenBase/EvtRandom.hh"
-#include "EvtGenBase/EvtReport.hh"
-#include "EvtGenBase/EvtVector4R.hh"
-
-#include "EvtGenModels/EvtPFermi.hh"
-
-#include
-#include
-
-using std::cout;
-using std::endl;
-
-std::string EvtVubAC::getName()
-{
- return "VUB_AC";
-}
-
-EvtDecayBase* EvtVubAC::clone()
-{
- return new EvtVubAC;
-}
-
-void EvtVubAC::init()
-{
- // get parameters (declared in the header file)
-
- // B Meson mass
- mB = 5.2792;
-
- // Perturbative quantities
- CF = 4.0 / 3.0;
- CA = 3.0;
- double nf = 3.0;
-
- //Constants
- alphaSmZ = getArg( 0 );
- c = 0.04;
- q = 0.01;
- k = 0.02;
-
- beta0 = ( 11.0 / 3.0 * CA - 2.0 / 3.0 * nf ) / ( 4 * M_PI );
- alphaSmB = 0.22 * alphaSmZ / 0.1189;
-
- gvars.push_back( 0.0 ); // 0
- gvars.push_back( 0.0 ); // 1
- gvars.push_back( 0.0 ); // 2
- gvars.push_back( alphaSmB ); // 3
- gvars.push_back( alphaSmZ ); // 4
- gvars.push_back( mB ); // 5
- gvars.push_back( beta0 ); // 6
- gvars.push_back( c ); // 7
- gvars.push_back( q ); // 8
- gvars.push_back( k ); // 9
-
- // check that there are 3 daughters and 1 argument
- checkNDaug( 3 );
- checkNArg( 1 );
-}
-
-void EvtVubAC::initProbMax()
-{
- noProbMax();
-}
-
-void EvtVubAC::decay( EvtParticle* Bmeson )
-{
- int j;
-
- EvtParticle *xuhad, *lepton, *neutrino;
- EvtVector4R p4;
- double u, w, xb, Pp, Pm, pdf, ml, PX( 0.0 ), EX( 0.0 ), sh( 0.0 ), El( 0.0 );
-
- Bmeson->initializePhaseSpace( getNDaug(), getDaugs() );
-
- xuhad = Bmeson->getDaug( 0 );
- lepton = Bmeson->getDaug( 1 );
- neutrino = Bmeson->getDaug( 2 );
-
- ml = lepton->mass();
-
- bool tryit = true;
- while ( tryit ) {
- double mpi = 0.14;
- u = EvtRandom::Flat( 0.0, 1.0 );
- w = EvtRandom::Flat( 0.0, 2.0 );
- xb = EvtRandom::Flat( 0.0, 1.0 );
-
- EX = w * mB / 2.0;
- PX = EX * ( 1.0 - u ) / ( u + 1.0 );
- El = ( 1.0 - xb ) * mB / 2.0;
- Pp = ( EX - PX );
- Pm = ( EX + PX );
- sh = Pm * Pp;
-
- if ( ( ( w * u ) / ( 1.0 + u ) < xb ) && ( xb < w / ( 1.0 + u ) ) &&
- ( max( 0, w - 1.0 ) < u ) && ( sh > 4.0 * mpi * mpi ) &&
- ( El > ml ) ) {
- pdf = rate( u, w, xb );
- double testRan = EvtRandom::Flat( 0.0, 24.2 );
- if ( pdf >= testRan )
- tryit = false;
- }
- }
-
- // o.k. we have the three kinemtic variables
- // now calculate a flat cos Theta_H [-1,1] distribution of the
- // hadron flight direction w.r.t the B flight direction
- // because the B is a scalar and should decay isotropic.
- // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
- // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
- // W flight direction.
-
- double ctH = EvtRandom::Flat( -1, 1 );
- double phH = EvtRandom::Flat( 0, 2 * M_PI );
- double phL = EvtRandom::Flat( 0, 2 * M_PI );
-
- // now compute the four vectors in the B Meson restframe
-
- double ptmp, sttmp;
- // calculate the hadron 4 vector in the B Meson restframe
-
- sttmp = sqrt( 1 - ctH * ctH );
- ptmp = sqrt( EX * EX - sh );
- double pHB[4] = { EX, ptmp * sttmp * cos( phH ), ptmp * sttmp * sin( phH ),
- ptmp * ctH };
- p4.set( pHB[0], pHB[1], pHB[2], pHB[3] );
- xuhad->init( getDaug( 0 ), p4 );
-
- // calculate the W 4 vector in the B Meson restrframe
-
- double apWB = ptmp;
- double pWB[4] = { mB - EX, -pHB[1], -pHB[2], -pHB[3] };
-
- // first go in the W restframe and calculate the lepton and
- // the neutrino in the W frame
-
- double mW2 = mB * mB + sh - 2 * mB * EX;
- double beta = ptmp / pWB[0];
- double gamma = pWB[0] / sqrt( mW2 );
-
- double pLW[4];
-
- ptmp = ( mW2 - ml * ml ) / 2 / sqrt( mW2 );
- pLW[0] = sqrt( ml * ml + ptmp * ptmp );
-
- double ctL = ( El - gamma * pLW[0] ) / beta / gamma / ptmp;
- if ( ctL < -1 )
- ctL = -1;
- if ( ctL > 1 )
- ctL = 1;
- sttmp = sqrt( 1 - ctL * ctL );
-
- // eX' = eZ x eW
- double xW[3] = { -pWB[2], pWB[1], 0 };
- // eZ' = eW
- double zW[3] = { pWB[1] / apWB, pWB[2] / apWB, pWB[3] / apWB };
-
- double lx = sqrt( xW[0] * xW[0] + xW[1] * xW[1] );
- for ( j = 0; j < 2; j++ )
- xW[j] /= lx;
-
- // eY' = eZ' x eX'
- double yW[3] = { -pWB[1] * pWB[3], -pWB[2] * pWB[3],
- pWB[1] * pWB[1] + pWB[2] * pWB[2] };
- double ly = sqrt( yW[0] * yW[0] + yW[1] * yW[1] + yW[2] * yW[2] );
- for ( j = 0; j < 3; j++ )
- yW[j] /= ly;
-
- // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
- // + sin(Theta) * sin(Phi) * eY'
- // + cos(Theta) * eZ')
- for ( j = 0; j < 3; j++ )
- pLW[j + 1] = sttmp * cos( phL ) * ptmp * xW[j] +
- sttmp * sin( phL ) * ptmp * yW[j] + ctL * ptmp * zW[j];
-
- double apLW = ptmp;
-
- // boost them back in the B Meson restframe
-
- double appLB = beta * gamma * pLW[0] + gamma * ctL * apLW;
-
- ptmp = sqrt( El * El - ml * ml );
- double ctLL = appLB / ptmp;
-
- if ( ctLL > 1 )
- ctLL = 1;
- if ( ctLL < -1 )
- ctLL = -1;
-
- double pLB[4] = { El, 0, 0, 0 };
- double pNB[4] = { pWB[0] - El, 0, 0, 0 };
-
- for ( j = 1; j < 4; j++ ) {
- pLB[j] = pLW[j] + ( ctLL * ptmp - ctL * apLW ) / apWB * pWB[j];
- pNB[j] = pWB[j] - pLB[j];
- }
-
- p4.set( pLB[0], pLB[1], pLB[2], pLB[3] );
- lepton->init( getDaug( 1 ), p4 );
-
- p4.set( pNB[0], pNB[1], pNB[2], pNB[3] );
- neutrino->init( getDaug( 2 ), p4 );
-
- return;
-}
-
-double EvtVubAC::rate( double u, double w, double xb )
-{
- std::vector vars( 11 );
- vars[0] = u;
- vars[1] = w;
- vars[2] = xb;
- double dGam = Coeff( u, w, xb ) * Sigma( wreg( w / ( 1 + u ) ), ularge( u ) ) +
- d( u, w, xb );
-
- return dGam;
-}
-
-double EvtVubAC::PolyLog( double v, double z )
-{
- if ( z >= 1 )
- cout << "Error in EvtVubAC: 2nd argument to PolyLog is >= 1." << endl;
-
- double sum = 0.0;
- for ( int k = 1; k < 101; k++ ) {
- sum = sum + pow( z, k ) / pow( k, v );
- }
- return sum;
-}
-
-double EvtVubAC::max( double ub, double lb )
-{
- if ( ub > lb )
- return ub;
- else
- return lb;
-}
-
-double EvtVubAC::wreg( double w )
-{
- std::vector vars( 11 );
- vars[1] = w;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- double K = ( 1 + c ) / ( 1 + c + pow( c, 2 ) );
- return K * ( c + pow( w, 2 ) / ( w + c ) );
-}
-
-double EvtVubAC::ureg( double u )
-{
- std::vector vars( 11 );
- vars[0] = u;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- return q + u * u / ( u + q );
-}
-
-double EvtVubAC::ularge( double u )
-{
- std::vector vars( 11 );
- vars[0] = u;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- return u - k * u * u;
-}
-
-double EvtVubAC::alphaS( double Q )
-{
- std::vector vars( 11 );
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
-
- double a = 1.0 / ( log( Q * Q / FindRoot( alphaSmZ ) ) );
- double b = FindRoot( alphaSmZ ) / ( FindRoot( alphaSmZ ) - Q * Q );
- double ans = 1.0 / beta0 * ( a + b );
-
- return ans;
-}
-
-double EvtVubAC::Coeff( double u, double w, double xb )
-{
- std::vector vars( 11 );
- vars[0] = u;
- vars[1] = w;
- vars[2] = xb;
-
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
-
- double coeff = Coeff0( w, xb ) +
- alphaS( mB * wreg( w / ( 1 + u ) ) ) * Coeff1( w, xb );
- return coeff;
-}
-
-double EvtVubAC::Coeff0( double w, double xb )
-{
- std::vector vars( 11 );
- vars[1] = w;
- vars[2] = xb;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- return 12.0 * ( 1 + xb - w ) * ( w - xb );
-}
-
-double EvtVubAC::Coeff1( double w, double xb )
-{
- std::vector vars( 11 );
- vars[1] = w;
- vars[2] = xb;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- double a = 1 + xb - w;
- double b = -PolyLog( 2, 1 - w ) - 3.0 / 2.0 * log( wreg( w ) ) -
- 1.0 / 2.0 * w * f( w ) - 35.0 / 8.0 + ( M_PI * M_PI ) / 6.0;
- double c = 1.0 / 2.0 * xb * f( wreg( w ) );
-
- double ans = 12.0 * CF / M_PI * ( w - xb ) * ( ( a * b ) + c );
-
- return ans;
-}
-
-double EvtVubAC::d( double u, double w, double xb )
-{
- std::vector vars( 11 );
- vars[0] = u;
- vars[1] = w;
- vars[2] = xb;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
-
- return alphaS( mB * wreg( w / ( 1.0 + u ) ) ) * CF / M_PI * d1( u, w, xb );
-}
-
-double EvtVubAC::d1( double u, double w, double xb )
-{
- std::vector vars( 11 );
- vars[0] = u;
- vars[1] = w;
- vars[2] = xb;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
-
- double a = 3 * pow( w, 4 ) * ( 24 + 3 * w - 8 * xb ) /
- ( 4 * pow( 1 + u, 5 ) );
- double b = 9 * pow( w, 4 ) * ( 24 + 3 * w - 8 * xb ) /
- ( 8 * pow( 1 + u, 4 ) );
- double c = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) /
- ( 16 * pow( 1 - u, 3 ) );
- double cc = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) /
- ( 32 * pow( 1 - u, 2 ) );
- double d = 3 * pow( w, 2 ) *
- ( 32 - 47 * w - 8 * w * w + 16 * xb + 20 * w * xb + w * w * xb +
- 8 * xb * xb - 3 * w * xb * xb ) /
- ( 8 * pow( 1 + u, 2 ) );
- double e = 1 / ( 8 * pow( 1 + u, 3 ) ) *
- ( 3 * w * w *
- ( -64 + 94 * w + 40 * w * w + 3 * pow( w, 3 ) - 32 * xb -
- 40 * xb * w - 10 * w * w * xb - 16 * xb * xb +
- 6 * w * xb * xb ) );
- double f = 1 / ( 64 * ( 1 + u ) ) *
- ( 3 * ( 640 * w - 368 * w * w - 200 * w * w * w -
- 16 * pow( w, 4 ) + 3 * pow( w, 5 ) - 384 * xb +
- 320 * w * xb + 528 * w * w * xb + 112 * pow( w, 3 ) * xb -
- 16 * pow( w, 4 ) * xb - 256 * xb * xb -
- 48 * w * xb * xb - 224 * pow( w, 2 ) * pow( xb, 2 ) +
- 24 * pow( w, 3 ) * pow( xb, 2 ) ) );
- double g = 1 / ( 64 * ( 1 - u ) ) *
- ( 3 * ( -256 * w + 528 * w * w - 200 * pow( w, 3 ) -
- 16 * pow( w, 4 ) + 3 * pow( w, 5 ) + 512 * xb -
- 1472 * w * xb + 528 * pow( w, 2 ) * xb +
- 112 * pow( w, 3 ) * xb - 16 * pow( w, 4 ) * xb +
- 640 * xb * xb - 48 * w * xb * xb -
- 224 * pow( w, 2 ) * pow( xb, 2 ) +
- 24 * pow( w, 3 ) * pow( xb, 2 ) ) );
- double h = 9 * pow( w, 5 ) * log( ureg( u ) ) / ( 4 * pow( 1 + u, 6 ) );
- double i = 9 * pow( w, 5 ) * log( ureg( u ) ) / ( 2 * pow( 1 + u, 5 ) );
- double ii = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) *
- log( ureg( u ) ) / ( 16 * pow( 1 - u, 4 ) );
- double j = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) *
- log( ureg( u ) ) / ( 16 * pow( 1 - u, 3 ) );
- double k = ( 3 * pow( w, 3 ) *
- ( -10 + 16 * w + pow( w, 2 ) + 8 * xb - 2 * w * xb -
- 2 * pow( xb, 2 ) ) *
- log( ureg( u ) ) ) /
- ( 8 * pow( 1 + u, 3 ) );
- double l = ( 3 * pow( w, 3 ) *
- ( -10 + 16 * w + 7 * pow( w, 2 ) + 8 * xb - 2 * w * xb -
- 2 * pow( xb, 2 ) ) *
- log( ureg( u ) ) ) /
- ( 8 * pow( 1 + u, 4 ) );
- double m = 1 / ( 64 * pow( 1 + u, 2 ) ) *
- ( 3 * w *
- ( -144 * w + 208 * pow( w, 2 ) + 16 * pow( w, 3 ) +
- pow( w, 4 ) - 64 * xb - 80 * w * xb - 16 * pow( w, 2 ) * xb -
- 8 * pow( w, 3 ) * xb + 48 * xb * xb - 96 * w * xb * xb +
- 16 * pow( w, 2 ) * pow( xb, 2 ) ) *
- log( ureg( u ) ) );
- double n = 1 / ( 64 * pow( 1 - u, 2 ) ) *
- ( 3 *
- ( -256 * w + 624 * pow( w, 2 ) - 304 * pow( w, 3 ) +
- 16 * pow( w, 4 ) + pow( w, 5 ) + 512 * xb - 1856 * w * xb +
- 944 * pow( w, 2 ) * xb - 16 * pow( w, 3 ) * xb -
- 8 * pow( w, 4 ) * xb + 1024 * xb * xb - 464 * w * xb * xb -
- 96 * pow( w, 2 ) * pow( xb, 2 ) +
- 16 * pow( w, 3 ) * pow( xb, 2 ) ) *
- log( ureg( u ) ) );
-
- double rem = -a + b - c + cc - d - e + f + g - h + i - ii + j + k - l - m + n;
-
- return rem;
-}
-
-double EvtVubAC::f( double w )
-{
- std::vector vars( 11 );
- vars[1] = w;
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- if ( w != 1 )
- return log( w ) / ( 1 - w );
- else
- return -1;
-}
-
-double EvtVubAC::Lambda2( double x, const double alphaSmZ )
-{
- std::vector vars( 11 );
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- double alphaSmB = 0.22 * alphaSmZ / 0.1189;
- double func = ( 1 / beta0 ) *
- ( 1 / log( mB * mB / x ) + x / ( x - mB * mB ) ) -
- alphaSmB;
- return func;
-}
-
-double EvtVubAC::FindRoot( const double alphaSmZ )
-{
- std::vector vars( 11 );
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
- double root;
- const double precision = 1e-8;
- Bisect( 0.0, 1.0, precision, root, alphaSmZ );
- return root;
-}
-
-int EvtVubAC::Bisect( double x1, double x2, double precision, double& root,
- const double alphaSmZ )
-{
- std::vector vars( 11 );
-
- for ( int j = 3; j < 11; j++ ) {
- vars[j] = gvars[j];
- }
-
- if ( Lambda2( x1, alphaSmZ ) * Lambda2( x2, alphaSmZ ) > 0 ) {
- root = 0;
- return 0;
-
- } else {
- double x = 0.5 * ( x1 + x2 );
-
- if ( fabs( Lambda2( x, alphaSmZ ) ) < precision ) {
- root = x;
- return 1;
- } else {
- if ( Lambda2( x1, alphaSmZ ) * Lambda2( x, alphaSmZ ) < 0 ) {
- return Bisect( x1, x, precision, root, alphaSmZ );
-
- } else {
- return Bisect( x, x2, precision, root, alphaSmZ );
- }
- }
- }
-}
-
-//Bi-Linear interpolation function for sigma()
-
-double EvtVubAC::Sigma( double x1, double x2 )
-{
- double ans;
- int j = 0;
- int k = 0;
- int JMAX = 20;
- int KMAX = 6282;
-
- if ( ( x1 < 0.04 ) | ( x1 > 1.0 ) | ( x2 > 0.9981306360766614 ) ) {
- cout << "Input variables are not in range" << endl;
- return 0;
- }
-
- else {
- double sigma[6283][21] = {
- { 1.4165575231667025e-6, 2.367068423885654e-6,
- 3.010516455581869e-6, 3.5037825936986625e-6,
- 3.929518324374288e-6, 4.306057170491293e-6,
- 4.670305737607004e-6, 5.03601978363166e-6,
- 5.38081382734055e-6, 5.706111094422232e-6,
- 6.01592741932564e-6, 6.312683745642994e-6,
- 6.599149887344445e-6, 6.876589598409881e-6,
- 7.146140172115845e-6, 7.408228896739411e-6,
- 7.66381903520912e-6, 7.914216132923142e-6,
- 8.158375083092094e-6, 8.387923687779773e-6,
- 8.609047991600152e-6 },
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-
- //Find the correct [j][k] element for a given x1 and x2
-
- if ( x1 == wreg[JMAX] ) {
- j = JMAX;
- } else {
- for ( int y = 0; y <= JMAX; y++ ) {
- if ( ( wreg[y] <= x1 ) && ( x1 < wreg[y + 1] ) ) {
- j = y;
- break;
- }
- }
- }
- if ( x2 > ularge[KMAX - 1] ) {
- k = KMAX;
- } else {
- for ( int z = 0; z <= KMAX; z++ ) {
- if ( ( ularge[z] <= x2 ) && ( x2 < ularge[z + 1] ) ) {
- k = z;
- break;
- }
- }
- }
-
- //Calculate sigma() using Bi-Linear interpolaion
-
- double y0, y1, y2, y3;
- double t, u;
-
- if ( k == KMAX ) {
- ans = sigma[k][j];
- }
-
- else {
- y0 = sigma[k][j];
- y1 = sigma[k][j + 1];
- y2 = sigma[k + 1][j + 1];
- y3 = sigma[k + 1][j];
-
- t = ( x1 - wreg[j] ) / ( wreg[j + 1] - wreg[j] );
- u = ( x2 - ularge[k] ) / ( ularge[k + 1] - ularge[k] );
-
- ans = ( 1 - t ) * ( 1 - u ) * y0 + t * ( 1 - u ) * y1 + t * u * y2 +
- ( 1 - t ) * u * y3;
- }
- }
- return ans;
-}