ape/libm: implement log2 in libc
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2 changed files with 27 additions and 16 deletions
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@ -25,6 +25,7 @@ extern double exp(double);
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extern double frexp(double, int *);
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extern double frexp(double, int *);
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extern double ldexp(double, int);
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extern double ldexp(double, int);
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extern double log(double);
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extern double log(double);
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extern double log2(double);
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extern double log10(double);
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extern double log10(double);
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extern double modf(double, double *);
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extern double modf(double, double *);
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extern double pow(double, double);
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extern double pow(double, double);
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@ -10,16 +10,17 @@
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#include <math.h>
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#include <math.h>
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#include <errno.h>
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#include <errno.h>
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#define log2 0.693147180559945309e0
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#define Log2 0.693147180559945309e0
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#define ln10o1 .4342944819032518276511
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#define Ln2o1 1.4426950408889634073599
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#define sqrto2 0.707106781186547524e0
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#define Ln10o1 .4342944819032518276511
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#define p0 -.240139179559210510e2
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#define Sqrto2 0.707106781186547524e0
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#define p1 0.309572928215376501e2
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#define P0 -.240139179559210510e2
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#define p2 -.963769093377840513e1
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#define P1 0.309572928215376501e2
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#define p3 0.421087371217979714e0
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#define P2 -.963769093377840513e1
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#define q0 -.120069589779605255e2
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#define P3 0.421087371217979714e0
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#define q1 0.194809660700889731e2
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#define Q0 -.120069589779605255e2
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#define q2 -.891110902798312337e1
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#define Q1 0.194809660700889731e2
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#define Q2 -.891110902798312337e1
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double
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double
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log(double arg)
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log(double arg)
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@ -36,7 +37,7 @@ log(double arg)
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x *= 2;
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x *= 2;
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exp--;
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exp--;
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}
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}
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if(x < sqrto2) {
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if(x < Sqrto2) {
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x *= 2;
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x *= 2;
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exp--;
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exp--;
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}
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}
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@ -44,19 +45,28 @@ log(double arg)
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z = (x-1) / (x+1);
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z = (x-1) / (x+1);
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zsq = z*z;
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zsq = z*z;
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temp = ((p3*zsq + p2)*zsq + p1)*zsq + p0;
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temp = ((P3*zsq + P2)*zsq + P1)*zsq + P0;
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temp = temp/(((zsq + q2)*zsq + q1)*zsq + q0);
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temp = temp/(((zsq + Q2)*zsq + Q1)*zsq + Q0);
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temp = temp*z + exp*log2;
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temp = temp*z + exp*Log2;
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return temp;
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return temp;
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}
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}
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double
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double
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log10(double arg)
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log10(double arg)
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{
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{
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if(arg <= 0) {
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if(arg <= 0) {
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errno = (arg==0)? ERANGE : EDOM;
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errno = (arg==0)? ERANGE : EDOM;
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return -HUGE_VAL;
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return -HUGE_VAL;
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}
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}
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return log(arg) * ln10o1;
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return log(arg) * Ln10o1;
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}
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double
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log2(double arg)
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{
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if(arg <= 0) {
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errno = (arg==0)? ERANGE : EDOM;
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return -HUGE_VAL;
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}
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return log(arg) * Ln2o1;
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}
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}
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