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Diffstat (limited to '2.3-1/src/c/signalProcessing/zmodsns.c')
-rw-r--r-- | 2.3-1/src/c/signalProcessing/zmodsns.c | 161 |
1 files changed, 161 insertions, 0 deletions
diff --git a/2.3-1/src/c/signalProcessing/zmodsns.c b/2.3-1/src/c/signalProcessing/zmodsns.c new file mode 100644 index 00000000..5f35059f --- /dev/null +++ b/2.3-1/src/c/signalProcessing/zmodsns.c @@ -0,0 +1,161 @@ +/* Copyright (C) 2017 - IIT Bombay - FOSSEE + + This file must be used under the terms of the CeCILL. + This source file is licensed as described in the file COPYING, which + you should have received as part of this distribution. The terms + are also available at + http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + Author: Ankit Raj + Organization: FOSSEE, IIT Bombay + Email: toolbox@scilab.in + Reference:- Abramowitz, Milton and Stegun, Irene A + Handbook of Mathematical Functions, Dover, 1965 + Chapter 16 (Sections 16.4, 16.13 and 16.15) + Link for FORTRAN code:-http://www.aip.de/groups/soe/local/numres/bookfpdf/f6-11.pdf +*/ + +#include<stdio.h> +#include<math.h> +#include "modsn.h" +#include "doubleComplex.h" +#define CA 0.0003 + +doubleComplex zmodsns(doubleComplex uu,double emmc) +{ + doubleComplex ans; + double uur,uui; + uur=zreals(uu); + uui=zimags(uu); + double sr,cr,dr; + //Performing Elliptic Function operation for the real values + double a1,b1,c1,d1,emc1,u1; + double em1[14],en1[14]; + int i1,ii1,l1,bo1; + emc1=1-emmc; + u1=uur; + if(emc1) + { + bo1=(emc1<0.0); + if(bo1) + { + d1=1.0-emc1; + emc1/=-1.0/d1; + u1*=(d1=sqrt(d1)); + } + a1=1.0; + dr=1.0; + for(i1=1;i1<=13;i1++) + { + l1=i1; + em1[i1]=a1; + en1[i1]=(emc1=sqrt(emc1)); + c1=0.5*(a1+emc1); + if(fabs(a1-emc1)<=CA*a1)break; + emc1*=a1; + a1=c1; + } + u1*=c1; + sr=sin(u1); + cr=cos(u1); + if(sr) + { + a1=cr/sr; + c1*=a1; + for(ii1=l1;ii1>=1;ii1--) + { + b1=em1[ii1]; + a1*=c1; + c1*=dr; + dr=(en1[ii1]+a1)/(b1+a1); + a1=c1/b1; + } + a1=1.0/sqrt(c1*c1+1.0); + sr=(sr>=0.0?a1:-a1); + cr=c1*(sr); + } + if(bo1) + { + a1=dr; + dr=cr; + cr=a1; + sr/=d1; + } + } + else + { + cr=1.0/cosh(u1); + dr=cr; + sr=tanh(u1); + } + //////////////////////////////////////////////////////////////// + double si,ci,di; + //Performing Elleptic Function operation for the imaginary values + double a,b,c,d,emc,u; + double em[14],en[14]; + int i,ii,l,bo; + //double s1,c1,d1; + emc=emmc; + u=uui; + if(emc) + { + bo=(emc<0.0); + if(bo) + { + d=1.0-emc; + emc/=-1.0/d; + u*=(d=sqrt(d)); + } + a=1.0; + di=1.0; + for(i=1;i<=13;i++) + { + l=i; + em[i]=a; + en[i]=(emc=sqrt(emc)); + c=0.5*(a+emc); + if(fabs(a-emc)<=CA*a)break; + emc*=a; + a=c; + } + u*=c; + si=sin(u); + ci=cos(u); + if(si) + { + a=ci/si; + c*=a; + for(ii=l;ii>=1;ii--) + { + b=em[ii]; + a*=c; + c*=di; + di=(en[ii]+a)/(b+a); + a=c/b; + } + a=1.0/sqrt(c*c+1.0); + si=(si>=0.0?a:-a); + ci=c*(si); + } + if(bo) + { + a=di; + di=ci; + ci=a; + si/=d; + } + } + else + { + ci=1.0/cosh(u); + di=ci; + si=tanh(u); + } + ///////////////////////////////////////////////////////// + double delta; + delta=ci*ci + emmc*sr*sr*si*si; + double snir,snii; + snir=(sr*di)/delta; + snii=(cr*dr*si*ci)/delta; + ans=DoubleComplex(snir,snii); + return ans; +} |