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https://github.com/mruby/mruby
synced 2026-06-08 16:11:16 +00:00
Merged MSVC branch
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+30
-21
@@ -17,6 +17,10 @@
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#define atanh(x) (log(1+x) - log(1-x))/2.0
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#define cbrt(x) pow(x,1.0/3.0)
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/* Declaration of complementary Error function */
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double
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erfc(double x);
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/*
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** Implementations of error functions
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** credits to http://www.digitalmars.com/archives/cplusplus/3634.html
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@@ -26,18 +30,20 @@
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double
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erf(double x)
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{
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static const double two_sqrtpi= 1.128379167095512574;
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static const double two_sqrtpi = 1.128379167095512574;
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double sum = x;
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double term = x;
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double xsqr = x*x;
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int j= 1;
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if (fabs(x) > 2.2) {
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return 1.0 - erfc(x);
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}
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double sum= x, term= x, xsqr= x*x;
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int j= 1;
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do {
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term*= xsqr/j;
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sum-= term/(2*j+1);
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term *= xsqr/j;
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sum -= term/(2*j+1);
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++j;
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term*= xsqr/j;
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sum+= term/(2*j+1);
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term *= xsqr/j;
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sum += term/(2*j+1);
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++j;
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} while (fabs(term)/sum > REL_ERROR);
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return two_sqrtpi*sum;
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@@ -48,26 +54,29 @@ double
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erfc(double x)
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{
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static const double one_sqrtpi= 0.564189583547756287;
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double a = 1;
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double b = x;
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double c = x;
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double d = x*x+0.5;
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double q1, q2;
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double n = 1.0;
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double t;
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if (fabs(x) < 2.2) {
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return 1.0 - erf(x);
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}
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if (signbit(x)) {
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if (x < 0.0) { /*signbit(x)*/
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return 2.0 - erfc(-x);
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}
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double a=1, b=x;
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double c=x, d=x*x+0.5;
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double q1,q2;
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double n= 1.0, t;
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do {
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t= a*n+b*x;
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a= b;
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b= t;
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t= c*n+d*x;
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c= d;
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d= t;
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n+= 0.5;
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q1= q2;
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q2= b/d;
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t = a*n+b*x;
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a = b;
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b = t;
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t = c*n+d*x;
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c = d;
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d = t;
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n += 0.5;
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q1 = q2;
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q2 = b/d;
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} while (fabs(q1-q2)/q2 > REL_ERROR);
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return one_sqrtpi*exp(-x*x)*q2;
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}
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