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+/* 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>
+#define CA 0.0003
+#include "modsn.h"
+double dmodsns(double uu, double emmc)
+{
+ double a,b,c,d,emc,u;
+ double em[14],en[14];
+ int i,ii,l,bo;
+ double sn,cn,dn;
+ emc=1-emmc;
+ u=uu;
+ if(emc)
+ {
+ bo=(emc<0.0);
+ if(bo)
+ {
+ d=1.0-emc;
+ emc/=-1.0/d;
+ u*=(d=sqrt(d));
+ }
+ a=1.0;
+ dn=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;
+ sn=sin(u);
+ cn=cos(u);
+ if(sn)
+ {
+ a=cn/sn;
+ c*=a;
+ for(ii=l;ii>=1;ii--)
+ {
+ b=em[ii];
+ a*=c;
+ c*=dn;
+ dn=(en[ii]+a)/(b+a);
+ a=c/b;
+ }
+ a=1.0/sqrt(c*c+1.0);
+ sn=(sn>=0.0?a:-a);
+ cn=c*(sn);
+ }
+ if(bo)
+ {
+ a=dn;
+ dn=cn;
+ cn=a;
+ sn/=d;
+ }
+ }
+ else
+ {
+ cn=1.0/cosh(u);
+ dn=cn;
+ sn=tanh(u);
+ }
+ return sn;
+}
+/*
+int main()
+{
+ double u,k;
+ u=4;
+ k=0.7;
+ sn(u,k);
+}
+*/