/* 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
 Organization: FOSSEE, IIT Bombay
 Author: Brijesh Gupta C R
 Email: toolbox@scilab.in
*/
#include <stdio.h>
#include     "math.h"
#include     "besselj.h"

#define ACC 40.0
#define BIGNO 1.0e10
#define BIGNI 1.0e-10


static float fbessj0( float x )
{
   float ax,z;
   float xx,y,ans,ans1,ans2;

   if ((ax=fabs(x)) < 8.0) {
      y=x*x;
      ans1=57568490574.0+y*(-13362590354.0+y*(651619640.7
         +y*(-11214424.18+y*(77392.33017+y*(-184.9052456)))));
      ans2=57568490411.0+y*(1029532985.0+y*(9494680.718
         +y*(59272.64853+y*(267.8532712+y*1.0))));
      ans=ans1/ans2;
   } else {
      z=8.0/ax;
      y=z*z;
      xx=ax-0.785398164;
      ans1=1.0+y*(-0.1098628627e-2+y*(0.2734510407e-4
         +y*(-0.2073370639e-5+y*0.2093887211e-6)));
      ans2 = -0.1562499995e-1+y*(0.1430488765e-3
         +y*(-0.6911147651e-5+y*(0.7621095161e-6
         -y*0.934935152e-7)));
      ans=sqrt(0.636619772/ax)*(cos(xx)*ans1-z*sin(xx)*ans2);
   }
   return ans;
}


static float fbessj1( float x )
{
   float ax,z;
   float xx,y,ans,ans1,ans2;

   if ((ax=fabs(x)) < 8.0) {
      y=x*x;
      ans1=x*(72362614232.0+y*(-7895059235.0+y*(242396853.1
         +y*(-2972611.439+y*(15704.48260+y*(-30.16036606))))));
      ans2=144725228442.0+y*(2300535178.0+y*(18583304.74
         +y*(99447.43394+y*(376.9991397+y*1.0))));
      ans=ans1/ans2;
   } else {
      z=8.0/ax;
      y=z*z;
      xx=ax-2.356194491;
      ans1=1.0+y*(0.183105e-2+y*(-0.3516396496e-4
         +y*(0.2457520174e-5+y*(-0.240337019e-6))));
      ans2=0.04687499995+y*(-0.2002690873e-3
         +y*(0.8449199096e-5+y*(-0.88228987e-6
         +y*0.105787412e-6)));
      ans=sqrt(0.636619772/ax)*(cos(xx)*ans1-z*sin(xx)*ans2);
      if (x < 0.0) ans = -ans;
   }
   return ans;
}


float fbessj( int n, float x )
{
   int    j, jsum, m;
   float ax, bj, bjm, bjp, sum, tox, ans;


   if (n < 0)
   {
      float   dblank;
      return( dblank );
   }
   ax=fabs(x);
   if (n == 0)
      return( fbessj0(ax) );
   if (n == 1)
      return( fbessj1(ax) );


   if (ax == 0.0)
      return 0.0;
   else if (ax > (float) n) {
      tox=2.0/ax;
      bjm=fbessj0(ax);
      bj=fbessj1(ax);
      for (j=1;j<n;j++) {
         bjp=j*tox*bj-bjm;
         bjm=bj;
         bj=bjp;
      }
      ans=bj;
   } else {
      tox=2.0/ax;
      m=2*((n+(int) sqrt(ACC*n))/2);
      jsum=0;
      bjp=ans=sum=0.0;
      bj=1.0;
      for (j=m;j>0;j--) {
         bjm=j*tox*bj-bjp;
         bjp=bj;
         bj=bjm;
         if (fabs(bj) > BIGNO) {
            bj *= BIGNI;
            bjp *= BIGNI;
            ans *= BIGNI;
            sum *= BIGNI;
         }
         if (jsum) sum += bj;
         jsum=!jsum;
         if (j == n) ans=bjp;
      }
      sum=2.0*sum-bj;
      ans /= sum;
   }
   return  x < 0.0 && n%2 == 1 ? -ans : ans;
}

void sbesselja(float* inp1,int size1, float* inp2,int size2, float* oup)
{
    int i;
    if(size1 != size2)
        printf("Error! arguments #1 and #2 have incompatible dimensions.");
    for(i = 0; i<size1;i++)
    {
        oup[i] = fbessj(inp1[i],inp2[i]);
    }
}