530 lines
9.4 KiB
C
530 lines
9.4 KiB
C
/**********************************************************************
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math.c -
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$Author$
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$Date$
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created at: Tue Jan 25 14:12:56 JST 1994
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Copyright (C) 1993-2003 Yukihiro Matsumoto
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**********************************************************************/
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#include "ruby.h"
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#include <math.h>
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#include <errno.h>
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VALUE rb_mMath;
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#define Need_Float(x) (x) = rb_Float(x)
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#define Need_Float2(x,y) do {\
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Need_Float(x);\
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Need_Float(y);\
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} while (0)
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static void
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domain_check(x, msg)
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double x;
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char *msg;
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{
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while(1) {
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if (errno) {
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rb_sys_fail(msg);
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}
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if (isnan(x)) {
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#if defined(EDOM)
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errno = EDOM;
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#elif defined(ERANGE)
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errno = ERANGE;
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#endif
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continue;
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}
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break;
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}
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}
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/*
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* call-seq:
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* Math.atan2(y, x) => float
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*
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* Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
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* -PI..PI.
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*
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*/
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static VALUE
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math_atan2(obj, y, x)
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VALUE obj, x, y;
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{
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Need_Float2(y, x);
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return rb_float_new(atan2(RFLOAT(y)->value, RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.cos(x) => float
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*
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* Computes the cosine of <i>x</i> (expressed in radians). Returns
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* -1..1.
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*/
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static VALUE
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math_cos(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(cos(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.sin(x) => float
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*
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* Computes the sine of <i>x</i> (expressed in radians). Returns
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* -1..1.
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*/
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static VALUE
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math_sin(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(sin(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.tan(x) => float
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*
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* Returns the tangent of <i>x</i> (expressed in radians).
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*/
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static VALUE
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math_tan(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(tan(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.acos(x) => float
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*
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* Computes the arc cosine of <i>x</i>. Returns 0..PI.
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*/
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static VALUE
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math_acos(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = acos(RFLOAT(x)->value);
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domain_check(d, "acos");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.asin(x) => float
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*
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* Computes the arc sine of <i>x</i>. Returns 0..PI.
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*/
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static VALUE
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math_asin(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = asin(RFLOAT(x)->value);
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domain_check(d, "asin");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.atan(x) => float
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*
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* Computes the arc tangent of <i>x</i>. Returns -{PI/2} .. {PI/2}.
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*/
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static VALUE
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math_atan(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(atan(RFLOAT(x)->value));
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}
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#ifndef HAVE_COSH
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double
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cosh(x)
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double x;
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{
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return (exp(x) + exp(-x)) / 2;
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}
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#endif
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/*
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* call-seq:
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* Math.cosh(x) => float
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*
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* Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
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*/
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static VALUE
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math_cosh(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(cosh(RFLOAT(x)->value));
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}
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#ifndef HAVE_SINH
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double
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sinh(x)
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double x;
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{
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return (exp(x) - exp(-x)) / 2;
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}
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#endif
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/*
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* call-seq:
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* Math.sinh(x) => float
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*
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* Computes the hyperbolic sine of <i>x</i> (expressed in
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* radians).
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*/
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static VALUE
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math_sinh(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(sinh(RFLOAT(x)->value));
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}
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#ifndef HAVE_TANH
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double
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tanh(x)
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double x;
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{
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return sinh(x) / cosh(x);
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}
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#endif
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/*
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* call-seq:
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* Math.tanh() => float
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*
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* Computes the hyperbolic tangent of <i>x</i> (expressed in
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* radians).
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*/
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static VALUE
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math_tanh(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(tanh(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.acosh(x) => float
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*
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* Computes the inverse hyperbolic cosine of <i>x</i>.
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*/
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static VALUE
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math_acosh(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = acosh(RFLOAT(x)->value);
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domain_check(d, "acosh");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.asinh(x) => float
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*
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* Computes the inverse hyperbolic sine of <i>x</i>.
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*/
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static VALUE
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math_asinh(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(asinh(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.atanh(x) => float
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*
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* Computes the inverse hyperbolic tangent of <i>x</i>.
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*/
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static VALUE
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math_atanh(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = atanh(RFLOAT(x)->value);
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domain_check(d, "atanh");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.exp(x) => float
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*
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* Returns e**x.
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*/
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static VALUE
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math_exp(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(exp(RFLOAT(x)->value));
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}
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#if defined __CYGWIN__
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# include <cygwin/version.h>
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# if CYGWIN_VERSION_DLL_MAJOR < 1005
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# define nan(x) nan()
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# endif
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# define log(x) ((x) < 0.0 ? nan("") : log(x))
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# define log10(x) ((x) < 0.0 ? nan("") : log10(x))
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#endif
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/*
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* call-seq:
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* Math.log(numeric) => float
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*
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* Returns the natural logarithm of <i>numeric</i>.
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*/
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static VALUE
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math_log(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = log(RFLOAT(x)->value);
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domain_check(d, "log");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.log10(numeric) => float
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*
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* Returns the base 10 logarithm of <i>numeric</i>.
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*/
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static VALUE
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math_log10(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = log10(RFLOAT(x)->value);
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domain_check(d, "log10");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.sqrt(numeric) => float
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*
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* Returns the non-negative square root of <i>numeric</i>.
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*/
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static VALUE
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math_sqrt(obj, x)
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VALUE obj, x;
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{
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double d;
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Need_Float(x);
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errno = 0;
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d = sqrt(RFLOAT(x)->value);
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domain_check(d, "sqrt");
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return rb_float_new(d);
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}
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/*
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* call-seq:
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* Math.frexp(numeric) => [ fraction, exponent ]
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*
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* Returns a two-element array containing the normalized fraction (a
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* <code>Float</code>) and exponent (a <code>Fixnum</code>) of
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* <i>numeric</i>.
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*
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* fraction, exponent = Math.frexp(1234) #=> [0.6025390625, 11]
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* fraction * 2**exponent #=> 1234.0
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*/
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static VALUE
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math_frexp(obj, x)
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VALUE obj, x;
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{
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double d;
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int exp;
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Need_Float(x);
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d = frexp(RFLOAT(x)->value, &exp);
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return rb_assoc_new(rb_float_new(d), INT2NUM(exp));
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}
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/*
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* call-seq:
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* Math.ldexp(flt, int) -> float
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*
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* Returns the value of <i>flt</i>*(2**<i>int</i>).
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*
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* fraction, exponent = Math.frexp(1234)
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* Math.ldexp(fraction, exponent) #=> 1234.0
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*/
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static VALUE
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math_ldexp(obj, x, n)
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VALUE obj, x, n;
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{
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Need_Float(x);
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return rb_float_new(ldexp(RFLOAT(x)->value, NUM2INT(n)));
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}
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/*
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* call-seq:
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* Math.hypot(x, y) => float
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*
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* Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle
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* with sides <i>x</i> and <i>y</i>.
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*
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* Math.hypot(3, 4) #=> 5.0
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*/
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static VALUE
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math_hypot(obj, x, y)
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VALUE obj, x, y;
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{
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Need_Float2(x, y);
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return rb_float_new(hypot(RFLOAT(x)->value, RFLOAT(y)->value));
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}
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/*
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* call-seq:
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* Math.erf(x) => float
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*
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* Calculates the error function of x.
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*/
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static VALUE
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math_erf(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(erf(RFLOAT(x)->value));
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}
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/*
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* call-seq:
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* Math.erfc(x) => float
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*
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* Calculates the complementary error function of x.
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*/
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static VALUE
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math_erfc(obj, x)
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VALUE obj, x;
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{
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Need_Float(x);
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return rb_float_new(erfc(RFLOAT(x)->value));
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}
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/*
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* The <code>Math</code> module contains module functions for basic
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* trigonometric and transcendental functions. See class
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* <code>Float</code> for a list of constants that
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* define Ruby's floating point accuracy.
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*/
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void
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Init_Math()
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{
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rb_mMath = rb_define_module("Math");
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#ifdef M_PI
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rb_define_const(rb_mMath, "PI", rb_float_new(M_PI));
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#else
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rb_define_const(rb_mMath, "PI", rb_float_new(atan(1.0)*4.0));
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#endif
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#ifdef M_E
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rb_define_const(rb_mMath, "E", rb_float_new(M_E));
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#else
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rb_define_const(rb_mMath, "E", rb_float_new(exp(1.0)));
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#endif
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rb_define_module_function(rb_mMath, "atan2", math_atan2, 2);
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rb_define_module_function(rb_mMath, "cos", math_cos, 1);
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rb_define_module_function(rb_mMath, "sin", math_sin, 1);
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rb_define_module_function(rb_mMath, "tan", math_tan, 1);
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rb_define_module_function(rb_mMath, "acos", math_acos, 1);
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rb_define_module_function(rb_mMath, "asin", math_asin, 1);
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rb_define_module_function(rb_mMath, "atan", math_atan, 1);
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rb_define_module_function(rb_mMath, "cosh", math_cosh, 1);
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rb_define_module_function(rb_mMath, "sinh", math_sinh, 1);
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rb_define_module_function(rb_mMath, "tanh", math_tanh, 1);
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rb_define_module_function(rb_mMath, "acosh", math_acosh, 1);
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rb_define_module_function(rb_mMath, "asinh", math_asinh, 1);
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rb_define_module_function(rb_mMath, "atanh", math_atanh, 1);
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rb_define_module_function(rb_mMath, "exp", math_exp, 1);
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rb_define_module_function(rb_mMath, "log", math_log, 1);
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rb_define_module_function(rb_mMath, "log10", math_log10, 1);
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rb_define_module_function(rb_mMath, "sqrt", math_sqrt, 1);
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rb_define_module_function(rb_mMath, "frexp", math_frexp, 1);
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rb_define_module_function(rb_mMath, "ldexp", math_ldexp, 2);
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rb_define_module_function(rb_mMath, "hypot", math_hypot, 2);
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rb_define_module_function(rb_mMath, "erf", math_erf, 1);
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rb_define_module_function(rb_mMath, "erfc", math_erfc, 1);
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}
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