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e_gcpx.c
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Sun, Dec 29, 06:00

e_gcpx.c
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#include<stdio.h>
#include<math.h>
#include<fonction.h>
#include<constant.h>
#include<dimension.h>
#include<structure.h>
/****************************************************************/
/* nom: e_grad */
/* auteur: Jean-Paul Kneib */
/* date: 10/02/92 */
/* place: Toulouse */
/****************************************************************/
/*
* SIEMD KK
* Global variables used :
* - none
*/
complex csiemd(double x, double y, double eps, double b0)
{
double sqe, ce0, ce1, ce2;
double r;
complex zres;
r = sqrt(x * x + y * y);
sqe = sqrt(eps);
ce0 = b0 * (1 - eps * eps) / 2. / sqe;
ce1 = 2.*sqe / (1. + eps);
ce2 = 2.*sqe / (1. - eps);
zres.re = ce0 * asin(ce1 * x / r);
zres.im = ce0 * asinh(ce2 * y / r);
return(zres);
}
/*
* I*w,v=0.5 Kassiola & Kovner, 1993 PIEMD, paragraph 4.1
* Same as ci05() but with circular clumps. Much faster!!
*
*
* Global variables used :
* - none
*/
/*
* I*w,v=0.5 Kassiola & Kovner, 1993 PIEMD, paragraph 4.1
*
* Global variables used :
* - none
*/
complex ci05(double x, double y, double eps, double rc)
{
double sqe, cx1, cxro, cyro, rem2;
complex zci, znum, zden, zis, zres;
double norm;
sqe = sqrt(eps);
cx1 = (1. - eps) / (1. + eps);
cxro = (1. + eps) * (1. + eps);
cyro = (1. - eps) * (1. - eps);
rem2 = x * x / cxro + y * y / cyro;
/*zci=cpx(0.,-0.5*(1.-eps*eps)/sqe);
znum=cpx(cx1*x,(2.*sqe*sqrt(rc*rc+rem2)-y/cx1));
zden=cpx(x,(2.*rc*sqe-y));
zis=pcpx(zci,lncpx(dcpx(znum,zden)));
zres=pcpxflt(zis,b0);*/
// --> optimized code
zci.re = 0;
zci.im = -0.5 * (1. - eps * eps) / sqe;
znum.re = cx1 * x;
znum.im = 2.*sqe * sqrt(rc * rc + rem2) - y / cx1;
zden.re = x;
zden.im = 2.*rc * sqe - y;
norm = zden.re * zden.re + zden.im * zden.im; // zis = znum/zden
zis.re = (znum.re * zden.re + znum.im * zden.im) / norm;
zis.im = (znum.im * zden.re - znum.re * zden.im) / norm;
norm = zis.re;
zis.re = log(sqrt(norm * norm + zis.im * zis.im)); // ln(zis) = ln(|zis|)+i.Arg(zis)
zis.im = atan2(zis.im, norm);
// norm = zis.re;
zres.re = zci.re * zis.re - zci.im * zis.im; // Re( zci*ln(zis) )
zres.im = zci.im * zis.re + zis.im * zci.re; // Im( zci*ln(zis) )
//zres.re = zis.re*b0;
//zres.im = zis.im*b0;
return(zres);
}
/*
* I1.5 KK
* Global variables used :
* - none
*/
complex ci15(double x, double y, double eps, double rc, double b0)
{
double sqe, cx1, cxro, cyro, wrem;
complex zaa, zbb, ztot, zres;
cx1 = (1. - eps) / (1. + eps);
cxro = (1. + eps) * (1. + eps);
cyro = (1. - eps) * (1. - eps);
sqe = sqrt(eps);
wrem = sqrt(rc * rc + x * x / cxro + y * y / cyro);
zaa = cpx(x, -y + 2 * rc * sqe);
zbb = cpx(cx1 * x, -y / cx1 + 2 * wrem * sqe);
ztot = scpx(icpx(zaa), pcpxflt(icpx(zbb), rc / wrem));
zres = pcpxflt(ztot, b0 * rc * (1. - eps * eps));
return(zres);
}
/*
* I1.0 KK -we actually return I_1/rc
* Global variables used :
* - none
*/
complex ci10(double x, double y, double eps, double rc, double b0)
{
double cx1, cxro, cyro, wrem;
complex sqzs, sqz, zbar, zaa, zbb, ztot, zres;
cx1 = (1. - eps) / (1. + eps);
cxro = (1. + eps) * (1. + eps);
cyro = (1. - eps) * (1. - eps);
wrem = sqrt(rc * rc + x * x / cxro + y * y / cyro);
zbar = cpx(x, -y);
sqz = sqrtcpx(acpxflt(pcpx(zbar, zbar), (4.*eps * rc * rc)));
sqzs = pcpxflt(sqz, sgn_darg(sqz, zbar));
zaa = acpx(zbar, sqzs);
zbb = acpx(cpx(cx1 * x, -y / cx1), sqzs);
ztot = dcpx(lncpx(pcpxflt(dcpx(zaa, zbb), wrem / rc)), sqzs);
zres = pcpxflt(ztot, b0 * (1. - eps * eps));
return(zres);
}

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