2000-05-01 05:42:38 -04:00
|
|
|
/**********************************************************************
|
1998-01-16 07:13:05 -05:00
|
|
|
|
|
|
|
math.c -
|
|
|
|
|
|
|
|
$Author$
|
|
|
|
$Date$
|
|
|
|
created at: Tue Jan 25 14:12:56 JST 1994
|
|
|
|
|
2003-01-16 02:34:03 -05:00
|
|
|
Copyright (C) 1993-2003 Yukihiro Matsumoto
|
1998-01-16 07:13:05 -05:00
|
|
|
|
2000-05-01 05:42:38 -04:00
|
|
|
**********************************************************************/
|
1998-01-16 07:13:05 -05:00
|
|
|
|
|
|
|
#include "ruby.h"
|
|
|
|
#include <math.h>
|
2002-11-19 03:07:51 -05:00
|
|
|
#include <errno.h>
|
1998-01-16 07:13:05 -05:00
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
VALUE rb_mMath;
|
1998-01-16 07:13:05 -05:00
|
|
|
|
1998-01-16 07:19:22 -05:00
|
|
|
#define Need_Float(x) (x) = rb_Float(x)
|
2002-04-18 04:46:18 -04:00
|
|
|
#define Need_Float2(x,y) do {\
|
1998-01-16 07:13:05 -05:00
|
|
|
Need_Float(x);\
|
|
|
|
Need_Float(y);\
|
2002-04-18 04:46:18 -04:00
|
|
|
} while (0)
|
1998-01-16 07:13:05 -05:00
|
|
|
|
|
|
|
static VALUE
|
2000-02-17 02:11:22 -05:00
|
|
|
math_atan2(obj, y, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x, y;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
2000-02-17 02:11:22 -05:00
|
|
|
Need_Float2(y, x);
|
|
|
|
return rb_float_new(atan2(RFLOAT(y)->value, RFLOAT(x)->value));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_cos(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
|
|
|
Need_Float(x);
|
1999-01-19 23:59:39 -05:00
|
|
|
return rb_float_new(cos(RFLOAT(x)->value));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_sin(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
return rb_float_new(sin(RFLOAT(x)->value));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_tan(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
return rb_float_new(tan(RFLOAT(x)->value));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
static VALUE
|
|
|
|
math_acos(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = acos(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("acos");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
2001-03-13 00:45:13 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_asin(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = asin(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("asin");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
2001-03-13 00:45:13 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_atan(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(atan(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
2002-04-11 06:03:01 -04:00
|
|
|
#ifndef HAVE_COSH
|
|
|
|
double
|
|
|
|
cosh(x)
|
|
|
|
double x;
|
|
|
|
{
|
|
|
|
return (exp(x) + exp(-x)) / 2;
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
static VALUE
|
|
|
|
math_cosh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
2002-04-18 04:46:18 -04:00
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
return rb_float_new(cosh(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
2002-04-11 06:03:01 -04:00
|
|
|
#ifndef HAVE_SINH
|
|
|
|
double
|
|
|
|
sinh(x)
|
|
|
|
double x;
|
|
|
|
{
|
|
|
|
return (exp(x) - exp(-x)) / 2;
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
static VALUE
|
|
|
|
math_sinh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(sinh(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
2002-04-11 07:39:25 -04:00
|
|
|
#ifndef HAVE_TANH
|
2002-04-11 06:03:01 -04:00
|
|
|
double
|
|
|
|
tanh(x)
|
|
|
|
double x;
|
|
|
|
{
|
|
|
|
return sinh(x) / cosh(x);
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
static VALUE
|
|
|
|
math_tanh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(tanh(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
2002-04-10 04:45:26 -04:00
|
|
|
static VALUE
|
|
|
|
math_acosh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
2002-04-10 04:45:26 -04:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = acosh(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("acosh");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
2002-04-10 04:45:26 -04:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_asinh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(asinh(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_atanh(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
2002-04-10 04:45:26 -04:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = atanh(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("atanh");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
2002-04-10 04:45:26 -04:00
|
|
|
}
|
|
|
|
|
1998-01-16 07:13:05 -05:00
|
|
|
static VALUE
|
|
|
|
math_exp(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
|
|
|
Need_Float(x);
|
1999-01-19 23:59:39 -05:00
|
|
|
return rb_float_new(exp(RFLOAT(x)->value));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
2001-03-07 00:43:11 -05:00
|
|
|
#if defined __CYGWIN__
|
2001-03-09 12:49:31 -05:00
|
|
|
#define log(x) ((x) < 0.0 ? nan() : log(x))
|
|
|
|
#define log10(x) ((x) < 0.0 ? nan() : log10(x))
|
2001-03-07 00:43:11 -05:00
|
|
|
#endif
|
|
|
|
|
1998-01-16 07:13:05 -05:00
|
|
|
static VALUE
|
|
|
|
math_log(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
1998-01-16 07:13:05 -05:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = log(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("log");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_log10(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
|
|
|
|
1998-01-16 07:13:05 -05:00
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
errno = 0;
|
|
|
|
d = log10(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("log10");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_sqrt(obj, x)
|
1998-01-16 07:19:22 -05:00
|
|
|
VALUE obj, x;
|
1998-01-16 07:13:05 -05:00
|
|
|
{
|
2002-11-14 01:18:59 -05:00
|
|
|
double d;
|
1998-01-16 07:13:05 -05:00
|
|
|
|
2002-11-14 01:18:59 -05:00
|
|
|
Need_Float(x);
|
|
|
|
errno = 0;
|
|
|
|
d = sqrt(RFLOAT(x)->value);
|
|
|
|
if (errno) {
|
|
|
|
rb_sys_fail("sqrt");
|
|
|
|
}
|
|
|
|
return rb_float_new(d);
|
1999-01-19 23:59:39 -05:00
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_frexp(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
double d;
|
|
|
|
int exp;
|
|
|
|
|
|
|
|
Need_Float(x);
|
2002-04-18 04:46:18 -04:00
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
d = frexp(RFLOAT(x)->value, &exp);
|
|
|
|
return rb_assoc_new(rb_float_new(d), INT2NUM(exp));
|
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_ldexp(obj, x, n)
|
|
|
|
VALUE obj, x, n;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
2002-11-14 01:18:59 -05:00
|
|
|
return rb_float_new(ldexp(RFLOAT(x)->value, NUM2INT(n)));
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
static VALUE
|
|
|
|
math_hypot(obj, x, y)
|
|
|
|
VALUE obj, x, y;
|
|
|
|
{
|
|
|
|
Need_Float2(x, y);
|
|
|
|
return rb_float_new(hypot(RFLOAT(x)->value, RFLOAT(y)->value));
|
|
|
|
}
|
|
|
|
|
2003-06-05 02:40:42 -04:00
|
|
|
static VALUE
|
|
|
|
math_erf(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(erf(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
|
|
|
static VALUE
|
|
|
|
math_erfc(obj, x)
|
|
|
|
VALUE obj, x;
|
|
|
|
{
|
|
|
|
Need_Float(x);
|
|
|
|
return rb_float_new(erfc(RFLOAT(x)->value));
|
|
|
|
}
|
|
|
|
|
1998-01-16 07:13:05 -05:00
|
|
|
void
|
|
|
|
Init_Math()
|
|
|
|
{
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_mMath = rb_define_module("Math");
|
1998-01-16 07:13:05 -05:00
|
|
|
|
|
|
|
#ifdef M_PI
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_const(rb_mMath, "PI", rb_float_new(M_PI));
|
1998-01-16 07:13:05 -05:00
|
|
|
#else
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_const(rb_mMath, "PI", rb_float_new(atan(1.0)*4.0));
|
1998-01-16 07:13:05 -05:00
|
|
|
#endif
|
|
|
|
|
|
|
|
#ifdef M_E
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_const(rb_mMath, "E", rb_float_new(M_E));
|
1998-01-16 07:13:05 -05:00
|
|
|
#else
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_const(rb_mMath, "E", rb_float_new(exp(1.0)));
|
1998-01-16 07:13:05 -05:00
|
|
|
#endif
|
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_module_function(rb_mMath, "atan2", math_atan2, 2);
|
|
|
|
rb_define_module_function(rb_mMath, "cos", math_cos, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "sin", math_sin, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "tan", math_tan, 1);
|
|
|
|
|
2001-03-13 00:45:13 -05:00
|
|
|
rb_define_module_function(rb_mMath, "acos", math_acos, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "asin", math_asin, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "atan", math_atan, 1);
|
|
|
|
|
|
|
|
rb_define_module_function(rb_mMath, "cosh", math_cosh, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "sinh", math_sinh, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "tanh", math_tanh, 1);
|
|
|
|
|
2002-04-10 04:45:26 -04:00
|
|
|
rb_define_module_function(rb_mMath, "acosh", math_acosh, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "asinh", math_asinh, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "atanh", math_atanh, 1);
|
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_module_function(rb_mMath, "exp", math_exp, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "log", math_log, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "log10", math_log10, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "sqrt", math_sqrt, 1);
|
1998-01-16 07:13:05 -05:00
|
|
|
|
1999-01-19 23:59:39 -05:00
|
|
|
rb_define_module_function(rb_mMath, "frexp", math_frexp, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "ldexp", math_ldexp, 2);
|
2001-03-13 00:45:13 -05:00
|
|
|
|
|
|
|
rb_define_module_function(rb_mMath, "hypot", math_hypot, 2);
|
2003-06-05 02:40:42 -04:00
|
|
|
|
|
|
|
rb_define_module_function(rb_mMath, "erf", math_erf, 1);
|
|
|
|
rb_define_module_function(rb_mMath, "erfc", math_erfc, 1);
|
1998-01-16 07:13:05 -05:00
|
|
|
}
|