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-rw-r--r--2.3-1/src/c/specialFunctions/besseli/dbesselia.c111
-rw-r--r--2.3-1/src/c/specialFunctions/besseli/sbesselia.c111
-rw-r--r--2.3-1/src/c/specialFunctions/besselj/dbesselja.c143
-rw-r--r--2.3-1/src/c/specialFunctions/besselj/sbesselja.c142
-rw-r--r--2.3-1/src/c/specialFunctions/besselk/dbesselka.c141
-rw-r--r--2.3-1/src/c/specialFunctions/besselk/sbesselka.c141
-rw-r--r--2.3-1/src/c/specialFunctions/bessely/dbesselya.c167
-rw-r--r--2.3-1/src/c/specialFunctions/bessely/sbesselya.c168
-rw-r--r--2.3-1/src/c/specialFunctions/includes/besseli.h34
-rw-r--r--2.3-1/src/c/specialFunctions/includes/besselj.h34
-rw-r--r--2.3-1/src/c/specialFunctions/includes/besselk.h34
-rw-r--r--2.3-1/src/c/specialFunctions/includes/bessely.h35
-rw-r--r--2.3-1/src/c/specialFunctions/interfaces/int_besseli.h28
-rw-r--r--2.3-1/src/c/specialFunctions/interfaces/int_besselj.h28
-rw-r--r--2.3-1/src/c/specialFunctions/interfaces/int_besselk.h28
-rw-r--r--2.3-1/src/c/specialFunctions/interfaces/int_bessely.h28
16 files changed, 1373 insertions, 0 deletions
diff --git a/2.3-1/src/c/specialFunctions/besseli/dbesselia.c b/2.3-1/src/c/specialFunctions/besseli/dbesselia.c
new file mode 100644
index 00000000..14ac1ed3
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besseli/dbesselia.c
@@ -0,0 +1,111 @@
+/* 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 "besseli.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+
+double onebessi( double inp1, double inp2)
+{
+ int j;
+ double bi,bim,bip,tox,result,s,res,t;
+
+
+ if (inp1 < 0)
+ {
+ double dblank;
+ return( dblank );
+ }
+ if (inp1 == 0)
+ {
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=1.0+t*(3.5156229+t*(3.0899424+t*(1.2067492+t*(0.2659732+t*(0.360768e-1+t*0.45813e-2)))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=(exp(s)/sqrt(s))*(0.39894228+t*(0.1328592e-1+t*(0.225319e-2+t*(-0.157565e-2+t*(0.916281e-2+t*(-0.2057706e-1+t*(0.2635537e-1+t*(-0.1647633e-1+t*0.392377e-2))))))));
+ }
+ return res;
+ }
+ if (inp1 == 1)
+ {
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=s*(0.5+t*(0.87890594+t*(0.51498869+t*(0.15084934+t*(0.2658733e-1+t*(0.301532e-2+t*0.32411e-3))))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=0.2282967e-1+t*(-0.2895312e-1+t*(0.1787654e-1-t*0.420059e-2));
+ res=0.39894228+t*(-0.3988024e-1+t*(-0.362018e-2+t*(0.163801e-2+t*(-0.1031555e-1+t*res))));
+ res *= (exp(s)/sqrt(s));
+ }
+ return inp2 < 0.0 ? -res : res;
+ }
+
+
+ if (inp2 == 0.0)
+ return 0.0;
+ else
+ {
+ tox=2.0/fabs(inp2);
+ bip=result=0.0;
+ bi=1.0;
+ for (j=2*(inp1+(int) sqrt(ACC*inp1));j>0;j--)
+ {
+ bim=bip+j*tox*bi;
+ bip=bi;
+ bi=bim;
+ if (fabs(bi) > BIGNO)
+ {
+ result *= BIGNI;
+ bi *= BIGNI;
+ bip *= BIGNI;
+ }
+ if (j == inp1) result=bip;
+ }
+
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=1.0+t*(3.5156229+t*(3.0899424+t*(1.2067492+t*(0.2659732+t*(0.360768e-1+t*0.45813e-2)))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=(exp(s)/sqrt(s))*(0.39894228+t*(0.1328592e-1+t*(0.225319e-2+t*(-0.157565e-2+t*(0.916281e-2+t*(-0.2057706e-1+t*(0.2635537e-1+t*(-0.1647633e-1+t*0.392377e-2))))))));
+ }
+
+ result *= res/bi;
+ return inp2 < 0.0 && (int)inp1%2 == 1 ? -result : result;
+ }
+}
+
+void dbesselia(double* inp1,int size1, double* inp2,int size2, double* oup)
+{
+ int i;
+ if(size1 != size2)
+ printf("Error! arguments #1 and #2 have incompatible dimensions.");
+ for(i = 0; i<size1;i++)
+ {
+ oup[i] = onebessi(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/besseli/sbesselia.c b/2.3-1/src/c/specialFunctions/besseli/sbesselia.c
new file mode 100644
index 00000000..6e185e0b
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besseli/sbesselia.c
@@ -0,0 +1,111 @@
+/* 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 "besseli.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+
+float fonebessi( float inp1, float inp2)
+{
+ int j;
+ float bi,bim,bip,tox,result,s,res,t;
+
+
+ if (inp1 < 0)
+ {
+ float dblank;
+ return( dblank );
+ }
+ if (inp1 == 0)
+ {
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=1.0+t*(3.5156229+t*(3.0899424+t*(1.2067492+t*(0.2659732+t*(0.360768e-1+t*0.45813e-2)))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=(exp(s)/sqrt(s))*(0.39894228+t*(0.1328592e-1+t*(0.225319e-2+t*(-0.157565e-2+t*(0.916281e-2+t*(-0.2057706e-1+t*(0.2635537e-1+t*(-0.1647633e-1+t*0.392377e-2))))))));
+ }
+ return res;
+ }
+ if (inp1 == 1)
+ {
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=s*(0.5+t*(0.87890594+t*(0.51498869+t*(0.15084934+t*(0.2658733e-1+t*(0.301532e-2+t*0.32411e-3))))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=0.2282967e-1+t*(-0.2895312e-1+t*(0.1787654e-1-t*0.420059e-2));
+ res=0.39894228+t*(-0.3988024e-1+t*(-0.362018e-2+t*(0.163801e-2+t*(-0.1031555e-1+t*res))));
+ res *= (exp(s)/sqrt(s));
+ }
+ return inp2 < 0.0 ? -res : res;
+ }
+
+
+ if (inp2 == 0.0)
+ return 0.0;
+ else
+ {
+ tox=2.0/fabs(inp2);
+ bip=result=0.0;
+ bi=1.0;
+ for (j=2*(inp1+(int) sqrt(ACC*inp1));j>0;j--)
+ {
+ bim=bip+j*tox*bi;
+ bip=bi;
+ bi=bim;
+ if (fabs(bi) > BIGNO)
+ {
+ result *= BIGNI;
+ bi *= BIGNI;
+ bip *= BIGNI;
+ }
+ if (j == inp1) result=bip;
+ }
+
+ if ((s=fabs(inp2)) < 3.75)
+ {
+ t=inp2/3.75,t=t*t;
+ res=1.0+t*(3.5156229+t*(3.0899424+t*(1.2067492+t*(0.2659732+t*(0.360768e-1+t*0.45813e-2)))));
+ }
+ else
+ {
+ t=3.75/s;
+ res=(exp(s)/sqrt(s))*(0.39894228+t*(0.1328592e-1+t*(0.225319e-2+t*(-0.157565e-2+t*(0.916281e-2+t*(-0.2057706e-1+t*(0.2635537e-1+t*(-0.1647633e-1+t*0.392377e-2))))))));
+ }
+
+ result *= res/bi;
+ return inp2 < 0.0 && (int)inp1%2 == 1 ? -result : result;
+ }
+}
+
+void sbesselia(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] = fonebessi(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/besselj/dbesselja.c b/2.3-1/src/c/specialFunctions/besselj/dbesselja.c
new file mode 100644
index 00000000..23a355f5
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besselj/dbesselja.c
@@ -0,0 +1,143 @@
+/* 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 double bessj0( double x )
+{
+ double ax,z;
+ double 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 double bessj1( double x )
+{
+ double ax,z;
+ double 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;
+}
+
+
+double bessj( int n, double x )
+{
+ int j, jsum, m;
+ double ax, bj, bjm, bjp, sum, tox, ans;
+
+
+ if (n < 0)
+ {
+ double dblank;
+ //setdblack_c( &dblank );
+ return( dblank );
+ }
+ ax=fabs(x);
+ if (n == 0)
+ return( bessj0(ax) );
+ if (n == 1)
+ return( bessj1(ax) );
+
+
+ if (ax == 0.0)
+ return 0.0;
+ else if (ax > (double) n) {
+ tox=2.0/ax;
+ bjm=bessj0(ax);
+ bj=bessj1(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 dbesselja(double* inp1,int size1, double* inp2,int size2, double* oup)
+{
+ int i;
+ if(size1 != size2)
+ printf("Error! arguments #1 and #2 have incompatible dimensions.");
+ for(i = 0; i<size1;i++)
+ {
+ oup[i] = bessj(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/besselj/sbesselja.c b/2.3-1/src/c/specialFunctions/besselj/sbesselja.c
new file mode 100644
index 00000000..68d2ea4f
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besselj/sbesselja.c
@@ -0,0 +1,142 @@
+/* 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]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/besselk/dbesselka.c b/2.3-1/src/c/specialFunctions/besselk/dbesselka.c
new file mode 100644
index 00000000..df6c0708
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besselk/dbesselka.c
@@ -0,0 +1,141 @@
+/* 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 "besselk.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+static double bessi0( double x )
+{
+ double ax,ans;
+ double y;
+
+
+ if ((ax=fabs(x)) < 3.75) {
+ y=x/3.75,y=y*y;
+ ans=1.0+y*(3.5156229+y*(3.0899424+y*(1.2067492
+ +y*(0.2659732+y*(0.360768e-1+y*0.45813e-2)))));
+ } else {
+ y=3.75/ax;
+ ans=(exp(ax)/sqrt(ax))*(0.39894228+y*(0.1328592e-1
+ +y*(0.225319e-2+y*(-0.157565e-2+y*(0.916281e-2
+ +y*(-0.2057706e-1+y*(0.2635537e-1+y*(-0.1647633e-1
+ +y*0.392377e-2))))))));
+ }
+ return ans;
+}
+
+
+
+
+static double bessi1( double x)
+{
+ double ax,ans;
+ double y;
+
+
+ if ((ax=fabs(x)) < 3.75) {
+ y=x/3.75,y=y*y;
+ ans=ax*(0.5+y*(0.87890594+y*(0.51498869+y*(0.15084934
+ +y*(0.2658733e-1+y*(0.301532e-2+y*0.32411e-3))))));
+ } else {
+ y=3.75/ax;
+ ans=0.2282967e-1+y*(-0.2895312e-1+y*(0.1787654e-1
+ -y*0.420059e-2));
+ ans=0.39894228+y*(-0.3988024e-1+y*(-0.362018e-2
+ +y*(0.163801e-2+y*(-0.1031555e-1+y*ans))));
+ ans *= (exp(ax)/sqrt(ax));
+ }
+ return x < 0.0 ? -ans : ans;
+}
+
+
+static double bessk0( double x )
+{
+ double y,ans;
+
+ if (x <= 2.0) {
+ y=x*x/4.0;
+ ans=(-log(x/2.0)*bessi0(x))+(-0.57721566+y*(0.42278420
+ +y*(0.23069756+y*(0.3488590e-1+y*(0.262698e-2
+ +y*(0.10750e-3+y*0.74e-5))))));
+ } else {
+ y=2.0/x;
+ ans=(exp(-x)/sqrt(x))*(1.25331414+y*(-0.7832358e-1
+ +y*(0.2189568e-1+y*(-0.1062446e-1+y*(0.587872e-2
+ +y*(-0.251540e-2+y*0.53208e-3))))));
+ }
+ return ans;
+}
+
+
+
+
+static double bessk1( double x )
+{
+ double y,ans;
+
+ if (x <= 2.0) {
+ y=x*x/4.0;
+ ans=(log(x/2.0)*bessi1(x))+(1.0/x)*(1.0+y*(0.15443144
+ +y*(-0.67278579+y*(-0.18156897+y*(-0.1919402e-1
+ +y*(-0.110404e-2+y*(-0.4686e-4)))))));
+ } else {
+ y=2.0/x;
+ ans=(exp(-x)/sqrt(x))*(1.25331414+y*(0.23498619
+ +y*(-0.3655620e-1+y*(0.1504268e-1+y*(-0.780353e-2
+ +y*(0.325614e-2+y*(-0.68245e-3)))))));
+ }
+ return ans;
+}
+
+double bessk( int n, double x )
+{
+ int j;
+ double bk,bkm,bkp,tox;
+
+
+ if (n < 0 || x == 0.0)
+ {
+ double dblank;
+ return( dblank );
+ }
+ if (n == 0)
+ return( bessk0(x) );
+ if (n == 1)
+ return( bessk1(x) );
+
+ tox=2.0/x;
+ bkm=bessk0(x);
+ bk=bessk1(x);
+ for (j=1;j<n;j++) {
+ bkp=bkm+j*tox*bk;
+ bkm=bk;
+ bk=bkp;
+ }
+ return bk;
+}
+
+void dbesselka(double* inp1,int size1, double* inp2,int size2, double* oup)
+{
+ int i;
+ if(size1 != size2)
+ printf("Error! arguments #1 and #2 have incompatible dimensions.");
+ for(i = 0; i<size1;i++)
+ {
+ oup[i] = bessk(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/besselk/sbesselka.c b/2.3-1/src/c/specialFunctions/besselk/sbesselka.c
new file mode 100644
index 00000000..bfb35eb1
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/besselk/sbesselka.c
@@ -0,0 +1,141 @@
+/* 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 "besselk.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+static float fbessi0( float x )
+{
+ float ax,ans;
+ float y;
+
+
+ if ((ax=fabs(x)) < 3.75) {
+ y=x/3.75,y=y*y;
+ ans=1.0+y*(3.5156229+y*(3.0899424+y*(1.2067492
+ +y*(0.2659732+y*(0.360768e-1+y*0.45813e-2)))));
+ } else {
+ y=3.75/ax;
+ ans=(exp(ax)/sqrt(ax))*(0.39894228+y*(0.1328592e-1
+ +y*(0.225319e-2+y*(-0.157565e-2+y*(0.916281e-2
+ +y*(-0.2057706e-1+y*(0.2635537e-1+y*(-0.1647633e-1
+ +y*0.392377e-2))))))));
+ }
+ return ans;
+}
+
+
+
+
+static float fbessi1( float x)
+{
+ float ax,ans;
+ float y;
+
+
+ if ((ax=fabs(x)) < 3.75) {
+ y=x/3.75,y=y*y;
+ ans=ax*(0.5+y*(0.87890594+y*(0.51498869+y*(0.15084934
+ +y*(0.2658733e-1+y*(0.301532e-2+y*0.32411e-3))))));
+ } else {
+ y=3.75/ax;
+ ans=0.2282967e-1+y*(-0.2895312e-1+y*(0.1787654e-1
+ -y*0.420059e-2));
+ ans=0.39894228+y*(-0.3988024e-1+y*(-0.362018e-2
+ +y*(0.163801e-2+y*(-0.1031555e-1+y*ans))));
+ ans *= (exp(ax)/sqrt(ax));
+ }
+ return x < 0.0 ? -ans : ans;
+}
+
+
+static float fbessk0( float x )
+{
+ float y,ans;
+
+ if (x <= 2.0) {
+ y=x*x/4.0;
+ ans=(-log(x/2.0)*fbessi0(x))+(-0.57721566+y*(0.42278420
+ +y*(0.23069756+y*(0.3488590e-1+y*(0.262698e-2
+ +y*(0.10750e-3+y*0.74e-5))))));
+ } else {
+ y=2.0/x;
+ ans=(exp(-x)/sqrt(x))*(1.25331414+y*(-0.7832358e-1
+ +y*(0.2189568e-1+y*(-0.1062446e-1+y*(0.587872e-2
+ +y*(-0.251540e-2+y*0.53208e-3))))));
+ }
+ return ans;
+}
+
+
+
+
+static float fbessk1( float x )
+{
+ float y,ans;
+
+ if (x <= 2.0) {
+ y=x*x/4.0;
+ ans=(log(x/2.0)*fbessi1(x))+(1.0/x)*(1.0+y*(0.15443144
+ +y*(-0.67278579+y*(-0.18156897+y*(-0.1919402e-1
+ +y*(-0.110404e-2+y*(-0.4686e-4)))))));
+ } else {
+ y=2.0/x;
+ ans=(exp(-x)/sqrt(x))*(1.25331414+y*(0.23498619
+ +y*(-0.3655620e-1+y*(0.1504268e-1+y*(-0.780353e-2
+ +y*(0.325614e-2+y*(-0.68245e-3)))))));
+ }
+ return ans;
+}
+
+float fbessk( int n, float x )
+{
+ int j;
+ float bk,bkm,bkp,tox;
+
+
+ if (n < 0 || x == 0.0)
+ {
+ float dblank;
+ return( dblank );
+ }
+ if (n == 0)
+ return( fbessk0(x) );
+ if (n == 1)
+ return( fbessk1(x) );
+
+ tox=2.0/x;
+ bkm=fbessk0(x);
+ bk=fbessk1(x);
+ for (j=1;j<n;j++) {
+ bkp=bkm+j*tox*bk;
+ bkm=bk;
+ bk=bkp;
+ }
+ return bk;
+}
+
+void sbesselka(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] = fbessk(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/bessely/dbesselya.c b/2.3-1/src/c/specialFunctions/bessely/dbesselya.c
new file mode 100644
index 00000000..76678629
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/bessely/dbesselya.c
@@ -0,0 +1,167 @@
+/* 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 "bessely.h"
+#include "besselj.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+static double bessj0( double x )
+{
+ double ax,z;
+ double 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 double bessj1( double x )
+{
+ double ax,z;
+ double 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;
+}
+
+
+static double bessy0( double x )
+{
+ double z;
+ double xx,y,ans,ans1,ans2;
+
+ if (x < 8.0) {
+ y=x*x;
+ ans1 = -2957821389.0+y*(7062834065.0+y*(-512359803.6
+ +y*(10879881.29+y*(-86327.92757+y*228.4622733))));
+ ans2=40076544269.0+y*(745249964.8+y*(7189466.438
+ +y*(47447.26470+y*(226.1030244+y*1.0))));
+ ans=(ans1/ans2)+0.636619772*bessj0(x)*log(x);
+ } else {
+ z=8.0/x;
+ y=z*z;
+ xx=x-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*(-0.934945152e-7))));
+ ans=sqrt(0.636619772/x)*(sin(xx)*ans1+z*cos(xx)*ans2);
+ }
+ return ans;
+}
+
+static double bessy1( double x )
+{
+ double z;
+ double xx,y,ans,ans1,ans2;
+
+ if (x < 8.0) {
+ y=x*x;
+ ans1=x*(-0.4900604943e13+y*(0.1275274390e13
+ +y*(-0.5153438139e11+y*(0.7349264551e9
+ +y*(-0.4237922726e7+y*0.8511937935e4)))));
+ ans2=0.2499580570e14+y*(0.4244419664e12
+ +y*(0.3733650367e10+y*(0.2245904002e8
+ +y*(0.1020426050e6+y*(0.3549632885e3+y)))));
+ ans=(ans1/ans2)+0.636619772*(bessj1(x)*log(x)-1.0/x);
+ } else {
+ z=8.0/x;
+ y=z*z;
+ xx=x-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/x)*(sin(xx)*ans1+z*cos(xx)*ans2);
+ }
+ return ans;
+}
+
+double bessy( int n, double x )
+{
+ int j;
+ double by,bym,byp,tox;
+
+
+ if (n < 0 || x == 0.0)
+ {
+ double dblank;
+ return( dblank );
+ }
+ if (n == 0)
+ return( bessy0(x) );
+ if (n == 1)
+ return( bessy1(x) );
+
+ tox=2.0/x;
+ by=bessy1(x);
+ bym=bessy0(x);
+ for (j=1;j<n;j++) {
+ byp=j*tox*by-bym;
+ bym=by;
+ by=byp;
+ }
+ return by;
+}
+
+void dbesselya(double* inp1,int size1, double* inp2,int size2, double* oup)
+{
+ int i;
+ if(size1 != size2)
+ printf("Error! arguments #1 and #2 have incompatible dimensions.");
+ for(i = 0; i<size1;i++)
+ {
+ oup[i] = bessy(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/bessely/sbesselya.c b/2.3-1/src/c/specialFunctions/bessely/sbesselya.c
new file mode 100644
index 00000000..1b42736c
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/bessely/sbesselya.c
@@ -0,0 +1,168 @@
+/* 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 "bessely.h"
+#include "besselj.h"
+
+#define ACC 40.0
+#define BIGNO 1.0e10
+#define BIGNI 1.0e-10
+
+static double bessj0( double x )
+{
+ double ax,z;
+ double 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 double bessj1( double x )
+{
+ double ax,z;
+ double 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;
+}
+
+
+
+static float fbessy0( float x )
+{
+ float z;
+ float xx,y,ans,ans1,ans2;
+
+ if (x < 8.0) {
+ y=x*x;
+ ans1 = -2957821389.0+y*(7062834065.0+y*(-512359803.6
+ +y*(10879881.29+y*(-86327.92757+y*228.4622733))));
+ ans2=40076544269.0+y*(745249964.8+y*(7189466.438
+ +y*(47447.26470+y*(226.1030244+y*1.0))));
+ ans=(ans1/ans2)+0.636619772*bessj0(x)*log(x);
+ } else {
+ z=8.0/x;
+ y=z*z;
+ xx=x-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*(-0.934945152e-7))));
+ ans=sqrt(0.636619772/x)*(sin(xx)*ans1+z*cos(xx)*ans2);
+ }
+ return ans;
+}
+
+static float fbessy1( float x )
+{
+ float z;
+ float xx,y,ans,ans1,ans2;
+
+ if (x < 8.0) {
+ y=x*x;
+ ans1=x*(-0.4900604943e13+y*(0.1275274390e13
+ +y*(-0.5153438139e11+y*(0.7349264551e9
+ +y*(-0.4237922726e7+y*0.8511937935e4)))));
+ ans2=0.2499580570e14+y*(0.4244419664e12
+ +y*(0.3733650367e10+y*(0.2245904002e8
+ +y*(0.1020426050e6+y*(0.3549632885e3+y)))));
+ ans=(ans1/ans2)+0.636619772*(bessj1(x)*log(x)-1.0/x);
+ } else {
+ z=8.0/x;
+ y=z*z;
+ xx=x-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/x)*(sin(xx)*ans1+z*cos(xx)*ans2);
+ }
+ return ans;
+}
+
+float fbessy( int n, float x )
+{
+ int j;
+ float by,bym,byp,tox;
+
+
+ if (n < 0 || x == 0.0)
+ {
+ float dblank;
+ return( dblank );
+ }
+ if (n == 0)
+ return( fbessy0(x) );
+ if (n == 1)
+ return( fbessy1(x) );
+
+ tox=2.0/x;
+ by=fbessy1(x);
+ bym=fbessy0(x);
+ for (j=1;j<n;j++) {
+ byp=j*tox*by-bym;
+ bym=by;
+ by=byp;
+ }
+ return by;
+}
+
+void sbesselya(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] = fbessy(inp1[i],inp2[i]);
+ }
+}
+
diff --git a/2.3-1/src/c/specialFunctions/includes/besseli.h b/2.3-1/src/c/specialFunctions/includes/besseli.h
new file mode 100644
index 00000000..6502b183
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/includes/besseli.h
@@ -0,0 +1,34 @@
+ /* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __BESSELI_H__
+#define __BESSELI_H__
+#include "types.h"
+#include "floatComplex.h"
+#include "doubleComplex.h"
+#include "uint8.h"
+#include "uint16.h"
+#include "int16.h"
+#include "factorial.h"
+#include "gamma.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+void sbesselia(float* inp1,int size1, float* inp2,int size2, float* oup);
+void dbesselia(double* inp1,int size1, double* inp2,int size2, double* oup);
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__BESSELI_H__*/
diff --git a/2.3-1/src/c/specialFunctions/includes/besselj.h b/2.3-1/src/c/specialFunctions/includes/besselj.h
new file mode 100644
index 00000000..de849a36
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/includes/besselj.h
@@ -0,0 +1,34 @@
+ /* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __BESSELJ_H__
+#define __BESSELJ_H__
+#include "types.h"
+#include "floatComplex.h"
+#include "doubleComplex.h"
+#include "uint8.h"
+#include "uint16.h"
+#include "int16.h"
+#include "factorial.h"
+#include "gamma.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+void sbesselja(float* inp1,int size1, float* inp2,int size2, float* oup);
+void dbesselja(double* inp1,int size1, double* inp2,int size2, double* oup);
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__BESSELJ_H__*/
diff --git a/2.3-1/src/c/specialFunctions/includes/besselk.h b/2.3-1/src/c/specialFunctions/includes/besselk.h
new file mode 100644
index 00000000..0be3c34e
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/includes/besselk.h
@@ -0,0 +1,34 @@
+ /* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __BESSELK_H__
+#define __BESSELK_H__
+#include "types.h"
+#include "floatComplex.h"
+#include "doubleComplex.h"
+#include "uint8.h"
+#include "uint16.h"
+#include "int16.h"
+#include "factorial.h"
+#include "gamma.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+void sbesselka(float* inp1,int size1, float* inp2,int size2, float* oup);
+void dbesselka(double* inp1,int size1, double* inp2,int size2, double* oup);
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__BESSELK_H__*/
diff --git a/2.3-1/src/c/specialFunctions/includes/bessely.h b/2.3-1/src/c/specialFunctions/includes/bessely.h
new file mode 100644
index 00000000..fb385efd
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/includes/bessely.h
@@ -0,0 +1,35 @@
+ /* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __BESSELY_H__
+#define __BESSELY_H__
+#include "types.h"
+#include "floatComplex.h"
+#include "doubleComplex.h"
+#include "uint8.h"
+#include "uint16.h"
+#include "int16.h"
+#include "factorial.h"
+#include "gamma.h"
+#include "besselj.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+void sbesselya(float* inp1,int size1, float* inp2,int size2, float* oup);
+void dbesselya(double* inp1,int size1, double* inp2,int size2, double* oup);
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__BESSELY_H__*/
diff --git a/2.3-1/src/c/specialFunctions/interfaces/int_besseli.h b/2.3-1/src/c/specialFunctions/interfaces/int_besseli.h
new file mode 100644
index 00000000..e11c48ca
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/interfaces/int_besseli.h
@@ -0,0 +1,28 @@
+/* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __INT_BESSELI_H__
+#define __INT_BESSELI_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+#define d2d2besselid2(in1, size1, in2, size2, out) dbesselia(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+#define s2s2besselis2(in1, size1, in2, size2, out) sbesselia(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__INT_BESSELI_H__*/
diff --git a/2.3-1/src/c/specialFunctions/interfaces/int_besselj.h b/2.3-1/src/c/specialFunctions/interfaces/int_besselj.h
new file mode 100644
index 00000000..cc0d85ee
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/interfaces/int_besselj.h
@@ -0,0 +1,28 @@
+/* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __INT_BESSELJ_H__
+#define __INT_BESSELJ_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+#define d2d2besseljd2(in1, size1, in2, size2, out) dbesselja(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+#define s2s2besseljs2(in1, size1, in2, size2, out) sbesselja(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__INT_BESSELJ_H__*/
diff --git a/2.3-1/src/c/specialFunctions/interfaces/int_besselk.h b/2.3-1/src/c/specialFunctions/interfaces/int_besselk.h
new file mode 100644
index 00000000..16b9c4b9
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/interfaces/int_besselk.h
@@ -0,0 +1,28 @@
+/* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __INT_BESSELK_H__
+#define __INT_BESSELK_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+#define d2d2besselkd2(in1, size1, in2, size2, out) dbesselka(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+#define s2s2besselks2(in1, size1, in2, size2, out) sbesselka(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__INT_BESSELK_H__*/
diff --git a/2.3-1/src/c/specialFunctions/interfaces/int_bessely.h b/2.3-1/src/c/specialFunctions/interfaces/int_bessely.h
new file mode 100644
index 00000000..749c8767
--- /dev/null
+++ b/2.3-1/src/c/specialFunctions/interfaces/int_bessely.h
@@ -0,0 +1,28 @@
+/* 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: Brijesh Gupta C R
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+ */
+#ifndef __INT_BESSELY_H__
+#define __INT_BESSELY_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+#define d2d2besselyd2(in1, size1, in2, size2, out) dbesselya(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+#define s2s2besselys2(in1, size1, in2, size2, out) sbesselya(in1,size1[0]*size1[1], in2, size2[0]*size2[1], out)
+
+
+#ifdef __cplusplus
+} /* extern "C" */
+#endif
+
+#endif /*__INT_BESSELY_H__*/