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📄 math_fun.cpp

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#include <math.h>#include "ovector.h"Scalar bessj0(Scalar x){        Scalar 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;}Scalar bessj1(Scalar x){        Scalar 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;}

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