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-rw-r--r--trunk/math.c715
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diff --git a/trunk/math.c b/trunk/math.c
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--- a/trunk/math.c
+++ /dev/null
@@ -1,715 +0,0 @@
-/**********************************************************************
-
- math.c -
-
- $Author$
- created at: Tue Jan 25 14:12:56 JST 1994
-
- Copyright (C) 1993-2007 Yukihiro Matsumoto
-
-**********************************************************************/
-
-#include "ruby/ruby.h"
-#include <math.h>
-#include <errno.h>
-
-VALUE rb_mMath;
-
-static VALUE
-to_flo(VALUE x)
-{
- if (!rb_obj_is_kind_of(x, rb_cNumeric)) {
- rb_raise(rb_eTypeError, "can't convert %s into Float",
- NIL_P(x) ? "nil" :
- x == Qtrue ? "true" :
- x == Qfalse ? "false" :
- rb_obj_classname(x));
- }
- return rb_convert_type(x, T_FLOAT, "Float", "to_f");
-}
-
-#define Need_Float(x) (x) = to_flo(x)
-#define Need_Float2(x,y) do {\
- Need_Float(x);\
- Need_Float(y);\
-} while (0)
-
-static void
-domain_check(double x, const char *msg)
-{
- while(1) {
- if (errno) {
- rb_sys_fail(msg);
- }
- if (isnan(x)) {
-#if defined(EDOM)
- errno = EDOM;
-#elif defined(ERANGE)
- errno = ERANGE;
-#endif
- continue;
- }
- break;
- }
-}
-
-static void
-infinity_check(VALUE arg, double res, const char *msg)
-{
- while(1) {
- if (errno) {
- rb_sys_fail(msg);
- }
- if (isinf(res) && !isinf(RFLOAT_VALUE(arg))) {
-#if defined(EDOM)
- errno = EDOM;
-#elif defined(ERANGE)
- errno = ERANGE;
-#endif
- continue;
- }
- break;
- }
-}
-
-/*
- * call-seq:
- * Math.atan2(y, x) => float
- *
- * Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
- * -PI..PI.
- *
- */
-
-VALUE
-math_atan2(VALUE obj, VALUE y, VALUE x)
-{
- Need_Float2(y, x);
- return DOUBLE2NUM(atan2(RFLOAT_VALUE(y), RFLOAT_VALUE(x)));
-}
-
-
-/*
- * call-seq:
- * Math.cos(x) => float
- *
- * Computes the cosine of <i>x</i> (expressed in radians). Returns
- * -1..1.
- */
-
-VALUE
-math_cos(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(cos(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.sin(x) => float
- *
- * Computes the sine of <i>x</i> (expressed in radians). Returns
- * -1..1.
- */
-
-VALUE
-math_sin(VALUE obj, VALUE x)
-{
- Need_Float(x);
-
- return DOUBLE2NUM(sin(RFLOAT_VALUE(x)));
-}
-
-
-/*
- * call-seq:
- * Math.tan(x) => float
- *
- * Returns the tangent of <i>x</i> (expressed in radians).
- */
-
-static VALUE
-math_tan(VALUE obj, VALUE x)
-{
- Need_Float(x);
-
- return DOUBLE2NUM(tan(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.acos(x) => float
- *
- * Computes the arc cosine of <i>x</i>. Returns 0..PI.
- */
-
-static VALUE
-math_acos(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = acos(RFLOAT_VALUE(x));
- domain_check(d, "acos");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.asin(x) => float
- *
- * Computes the arc sine of <i>x</i>. Returns -{PI/2} .. {PI/2}.
- */
-
-static VALUE
-math_asin(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = asin(RFLOAT_VALUE(x));
- domain_check(d, "asin");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.atan(x) => float
- *
- * Computes the arc tangent of <i>x</i>. Returns -{PI/2} .. {PI/2}.
- */
-
-static VALUE
-math_atan(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(atan(RFLOAT_VALUE(x)));
-}
-
-#ifndef HAVE_COSH
-double
-cosh(double x)
-{
- return (exp(x) + exp(-x)) / 2;
-}
-#endif
-
-/*
- * call-seq:
- * Math.cosh(x) => float
- *
- * Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
- */
-
-VALUE
-math_cosh(VALUE obj, VALUE x)
-{
- Need_Float(x);
-
- return DOUBLE2NUM(cosh(RFLOAT_VALUE(x)));
-}
-
-#ifndef HAVE_SINH
-double
-sinh(double x)
-{
- return (exp(x) - exp(-x)) / 2;
-}
-#endif
-
-/*
- * call-seq:
- * Math.sinh(x) => float
- *
- * Computes the hyperbolic sine of <i>x</i> (expressed in
- * radians).
- */
-
-VALUE
-math_sinh(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(sinh(RFLOAT_VALUE(x)));
-}
-
-#ifndef HAVE_TANH
-double
-tanh(double x)
-{
- return sinh(x) / cosh(x);
-}
-#endif
-
-/*
- * call-seq:
- * Math.tanh() => float
- *
- * Computes the hyperbolic tangent of <i>x</i> (expressed in
- * radians).
- */
-
-static VALUE
-math_tanh(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(tanh(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.acosh(x) => float
- *
- * Computes the inverse hyperbolic cosine of <i>x</i>.
- */
-
-static VALUE
-math_acosh(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = acosh(RFLOAT_VALUE(x));
- domain_check(d, "acosh");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.asinh(x) => float
- *
- * Computes the inverse hyperbolic sine of <i>x</i>.
- */
-
-static VALUE
-math_asinh(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(asinh(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.atanh(x) => float
- *
- * Computes the inverse hyperbolic tangent of <i>x</i>.
- */
-
-static VALUE
-math_atanh(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = atanh(RFLOAT_VALUE(x));
- domain_check(d, "atanh");
- infinity_check(x, d, "atanh");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.exp(x) => float
- *
- * Returns e**x.
- */
-
-VALUE
-math_exp(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(exp(RFLOAT_VALUE(x)));
-}
-
-#if defined __CYGWIN__
-# include <cygwin/version.h>
-# if CYGWIN_VERSION_DLL_MAJOR < 1005
-# define nan(x) nan()
-# endif
-# define log(x) ((x) < 0.0 ? nan("") : log(x))
-# define log10(x) ((x) < 0.0 ? nan("") : log10(x))
-#endif
-
-/*
- * call-seq:
- * Math.log(numeric) => float
- * Math.log(num,base) => float
- *
- * Returns the natural logarithm of <i>numeric</i>.
- * If additional second argument is given, it will be the base
- * of logarithm.
- */
-
-VALUE
-math_log(int argc, VALUE *argv)
-{
- VALUE x, base;
- double d;
-
- rb_scan_args(argc, argv, "11", &x, &base);
- Need_Float(x);
- errno = 0;
- d = log(RFLOAT_VALUE(x));
- if (!NIL_P(base)) {
- Need_Float(base);
- d /= log(RFLOAT_VALUE(base));
- }
- domain_check(d, "log");
- infinity_check(x, d, "log");
- return DOUBLE2NUM(d);
-}
-
-#ifndef log2
-#ifndef HAVE_LOG2
-double
-log2(double x)
-{
- return log10(x)/log10(2.0);
-}
-#else
-extern double log2(double);
-#endif
-#endif
-
-/*
- * call-seq:
- * Math.log2(numeric) => float
- *
- * Returns the base 2 logarithm of <i>numeric</i>.
- */
-
-static VALUE
-math_log2(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = log2(RFLOAT_VALUE(x));
- domain_check(d, "log2");
- infinity_check(x, d, "log2");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.log10(numeric) => float
- *
- * Returns the base 10 logarithm of <i>numeric</i>.
- */
-
-static VALUE
-math_log10(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = log10(RFLOAT_VALUE(x));
- domain_check(d, "log10");
- infinity_check(x, d, "log10");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.sqrt(numeric) => float
- *
- * Returns the non-negative square root of <i>numeric</i>.
- *
- * 0.upto(10) {|x|
- * p [x, Math.sqrt(x), Math.sqrt(x)**2]
- * }
- * #=>
- * [0, 0.0, 0.0]
- * [1, 1.0, 1.0]
- * [2, 1.4142135623731, 2.0]
- * [3, 1.73205080756888, 3.0]
- * [4, 2.0, 4.0]
- * [5, 2.23606797749979, 5.0]
- * [6, 2.44948974278318, 6.0]
- * [7, 2.64575131106459, 7.0]
- * [8, 2.82842712474619, 8.0]
- * [9, 3.0, 9.0]
- * [10, 3.16227766016838, 10.0]
- *
- */
-
-VALUE
-math_sqrt(VALUE obj, VALUE x)
-{
- double d;
-
- Need_Float(x);
- errno = 0;
- d = sqrt(RFLOAT_VALUE(x));
- domain_check(d, "sqrt");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.cbrt(numeric) => float
- *
- * Returns the cube root of <i>numeric</i>.
- *
- * -9.upto(9) {|x|
- * p [x, Math.cbrt(x), Math.cbrt(x)**3]
- * }
- * #=>
- * [-9, -2.0800838230519, -9.0]
- * [-8, -2.0, -8.0]
- * [-7, -1.91293118277239, -7.0]
- * [-6, -1.81712059283214, -6.0]
- * [-5, -1.7099759466767, -5.0]
- * [-4, -1.5874010519682, -4.0]
- * [-3, -1.44224957030741, -3.0]
- * [-2, -1.25992104989487, -2.0]
- * [-1, -1.0, -1.0]
- * [0, 0.0, 0.0]
- * [1, 1.0, 1.0]
- * [2, 1.25992104989487, 2.0]
- * [3, 1.44224957030741, 3.0]
- * [4, 1.5874010519682, 4.0]
- * [5, 1.7099759466767, 5.0]
- * [6, 1.81712059283214, 6.0]
- * [7, 1.91293118277239, 7.0]
- * [8, 2.0, 8.0]
- * [9, 2.0800838230519, 9.0]
- *
- */
-
-static VALUE
-math_cbrt(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(cbrt(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.frexp(numeric) => [ fraction, exponent ]
- *
- * Returns a two-element array containing the normalized fraction (a
- * <code>Float</code>) and exponent (a <code>Fixnum</code>) of
- * <i>numeric</i>.
- *
- * fraction, exponent = Math.frexp(1234) #=> [0.6025390625, 11]
- * fraction * 2**exponent #=> 1234.0
- */
-
-static VALUE
-math_frexp(VALUE obj, VALUE x)
-{
- double d;
- int exp;
-
- Need_Float(x);
-
- d = frexp(RFLOAT_VALUE(x), &exp);
- return rb_assoc_new(DOUBLE2NUM(d), INT2NUM(exp));
-}
-
-/*
- * call-seq:
- * Math.ldexp(flt, int) -> float
- *
- * Returns the value of <i>flt</i>*(2**<i>int</i>).
- *
- * fraction, exponent = Math.frexp(1234)
- * Math.ldexp(fraction, exponent) #=> 1234.0
- */
-
-static VALUE
-math_ldexp(VALUE obj, VALUE x, VALUE n)
-{
- Need_Float(x);
- return DOUBLE2NUM(ldexp(RFLOAT_VALUE(x), NUM2INT(n)));
-}
-
-/*
- * call-seq:
- * Math.hypot(x, y) => float
- *
- * Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle
- * with sides <i>x</i> and <i>y</i>.
- *
- * Math.hypot(3, 4) #=> 5.0
- */
-
-VALUE
-math_hypot(VALUE obj, VALUE x, VALUE y)
-{
- Need_Float2(x, y);
- return DOUBLE2NUM(hypot(RFLOAT_VALUE(x), RFLOAT_VALUE(y)));
-}
-
-/*
- * call-seq:
- * Math.erf(x) => float
- *
- * Calculates the error function of x.
- */
-
-static VALUE
-math_erf(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(erf(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.erfc(x) => float
- *
- * Calculates the complementary error function of x.
- */
-
-static VALUE
-math_erfc(VALUE obj, VALUE x)
-{
- Need_Float(x);
- return DOUBLE2NUM(erfc(RFLOAT_VALUE(x)));
-}
-
-/*
- * call-seq:
- * Math.gamma(x) => float
- *
- * Calculates the gamma function of x.
- *
- * Note that gamma(n) is same as fact(n-1) for integer n >= 0.
- * However gamma(n) returns float and possibly has error in calculation.
- *
- * def fact(n) (1..n).inject(1) {|r,i| r*i } end
- * 0.upto(25) {|i| p [i, Math.gamma(i+1), fact(i)] }
- * #=>
- * [0, 1.0, 1]
- * [1, 1.0, 1]
- * [2, 2.0, 2]
- * [3, 6.0, 6]
- * [4, 24.0, 24]
- * [5, 120.0, 120]
- * [6, 720.0, 720]
- * [7, 5040.0, 5040]
- * [8, 40320.0, 40320]
- * [9, 362880.0, 362880]
- * [10, 3628800.0, 3628800]
- * [11, 39916800.0, 39916800]
- * [12, 479001599.999999, 479001600]
- * [13, 6227020800.00001, 6227020800]
- * [14, 87178291199.9998, 87178291200]
- * [15, 1307674368000.0, 1307674368000]
- * [16, 20922789888000.0, 20922789888000]
- * [17, 3.55687428096001e+14, 355687428096000]
- * [18, 6.40237370572799e+15, 6402373705728000]
- * [19, 1.21645100408832e+17, 121645100408832000]
- * [20, 2.43290200817664e+18, 2432902008176640000]
- * [21, 5.10909421717094e+19, 51090942171709440000]
- * [22, 1.12400072777761e+21, 1124000727777607680000]
- * [23, 2.58520167388851e+22, 25852016738884976640000]
- * [24, 6.20448401733239e+23, 620448401733239439360000]
- * [25, 1.5511210043331e+25, 15511210043330985984000000]
- *
- */
-
-static VALUE
-math_gamma(VALUE obj, VALUE x)
-{
- double d;
- Need_Float(x);
- errno = 0;
- d = tgamma(RFLOAT_VALUE(x));
- domain_check(d, "gamma");
- return DOUBLE2NUM(d);
-}
-
-/*
- * call-seq:
- * Math.lgamma(x) => [float, -1 or 1]
- *
- * Calculates the logarithmic gamma of x and
- * the sign of gamma of x.
- *
- * Math.lgamma(x) is same as
- * [Math.log(Math.gamma(x).abs), Math.gamma(x) < 0 ? -1 : 1]
- * but avoid overflow by Math.gamma(x) for large x.
- */
-
-static VALUE
-math_lgamma(VALUE obj, VALUE x)
-{
- double d;
- int sign;
- VALUE v;
- Need_Float(x);
- errno = 0;
- d = lgamma_r(RFLOAT_VALUE(x), &sign);
- domain_check(d, "lgamma");
- v = DOUBLE2NUM(d);
- return rb_assoc_new(v, INT2FIX(sign));
-}
-
-/*
- * The <code>Math</code> module contains module functions for basic
- * trigonometric and transcendental functions. See class
- * <code>Float</code> for a list of constants that
- * define Ruby's floating point accuracy.
- */
-
-
-void
-Init_Math(void)
-{
- rb_mMath = rb_define_module("Math");
-
-#ifdef M_PI
- rb_define_const(rb_mMath, "PI", DOUBLE2NUM(M_PI));
-#else
- rb_define_const(rb_mMath, "PI", DOUBLE2NUM(atan(1.0)*4.0));
-#endif
-
-#ifdef M_E
- rb_define_const(rb_mMath, "E", DOUBLE2NUM(M_E));
-#else
- rb_define_const(rb_mMath, "E", DOUBLE2NUM(exp(1.0)));
-#endif
-
- 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);
-
- 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);
-
- 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);
-
- 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, "log2", math_log2, 1);
- rb_define_module_function(rb_mMath, "log10", math_log10, 1);
- rb_define_module_function(rb_mMath, "sqrt", math_sqrt, 1);
- rb_define_module_function(rb_mMath, "cbrt", math_cbrt, 1);
-
- rb_define_module_function(rb_mMath, "frexp", math_frexp, 1);
- rb_define_module_function(rb_mMath, "ldexp", math_ldexp, 2);
-
- rb_define_module_function(rb_mMath, "hypot", math_hypot, 2);
-
- rb_define_module_function(rb_mMath, "erf", math_erf, 1);
- rb_define_module_function(rb_mMath, "erfc", math_erfc, 1);
-
- rb_define_module_function(rb_mMath, "gamma", math_gamma, 1);
- rb_define_module_function(rb_mMath, "lgamma", math_lgamma, 1);
-}
generated by cgit v1.2.3 (git 2.25.1) at 2024-04-30 23:52:59 +0000