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+/**********************************************************************
+
+ math.c -
+
+ $Author$
+ $Date$
+ created at: Tue Jan 25 14:12:56 JST 1994
+
+ Copyright (C) 1993-2003 Yukihiro Matsumoto
+
+**********************************************************************/
+
+#include "ruby.h"
+#include <math.h>
+#include <errno.h>
+
+VALUE rb_mMath;
+
+#define Need_Float(x) (x) = rb_Float(x)
+#define Need_Float2(x,y) do {\
+ Need_Float(x);\
+ Need_Float(y);\
+} while (0)
+
+static void
+domain_check(x, msg)
+ double x;
+ char *msg;
+{
+ while(1) {
+ if (errno) {
+ rb_sys_fail(msg);
+ }
+ if (isnan(x)) {
+#if defined(EDOM)
+ errno = EDOM;
+#elif define(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.
+ *
+ */
+
+static VALUE
+math_atan2(obj, y, x)
+ VALUE obj, x, y;
+{
+ Need_Float2(y, x);
+ return rb_float_new(atan2(RFLOAT(y)->value, RFLOAT(x)->value));
+}
+
+
+/*
+ * call-seq:
+ * Math.cos(x) => float
+ *
+ * Computes the cosine of <i>x</i> (expressed in radians). Returns
+ * -1..1.
+ */
+
+static VALUE
+math_cos(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(cos(RFLOAT(x)->value));
+}
+
+/*
+ * call-seq:
+ * Math.sin(x) => float
+ *
+ * Computes the sine of <i>x</i> (expressed in radians). Returns
+ * -1..1.
+ */
+
+static VALUE
+math_sin(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+
+ return rb_float_new(sin(RFLOAT(x)->value));
+}
+
+
+/*
+ * call-seq:
+ * Math.tan(x) => float
+ *
+ * Returns the tangent of <i>x</i> (expressed in radians).
+ */
+
+static VALUE
+math_tan(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+
+ return rb_float_new(tan(RFLOAT(x)->value));
+}
+
+/*
+ * call-seq:
+ * Math.acos(x) => float
+ *
+ * Computes the arc cosine of <i>x</i>. Returns 0..PI.
+ */
+
+static VALUE
+math_acos(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = acos(RFLOAT(x)->value);
+ domain_check(d, "acos");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.asin(x) => float
+ *
+ * Computes the arc sine of <i>x</i>. Returns 0..PI.
+ */
+
+static VALUE
+math_asin(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = asin(RFLOAT(x)->value);
+ domain_check(d, "asin");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.atan(x) => float
+ *
+ * Computes the arc tangent of <i>x</i>. Returns -{PI/2} .. {PI/2}.
+ */
+
+static VALUE
+math_atan(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(atan(RFLOAT(x)->value));
+}
+
+#ifndef HAVE_COSH
+double
+cosh(x)
+ 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).
+ */
+
+static VALUE
+math_cosh(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+
+ return rb_float_new(cosh(RFLOAT(x)->value));
+}
+
+#ifndef HAVE_SINH
+double
+sinh(x)
+ 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).
+ */
+
+static VALUE
+math_sinh(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(sinh(RFLOAT(x)->value));
+}
+
+#ifndef HAVE_TANH
+double
+tanh(x)
+ 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(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(tanh(RFLOAT(x)->value));
+}
+
+/*
+ * call-seq:
+ * Math.acosh(x) => float
+ *
+ * Computes the inverse hyperbolic cosine of <i>x</i>.
+ */
+
+static VALUE
+math_acosh(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = acosh(RFLOAT(x)->value);
+ domain_check(d, "acosh");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.asinh(x) => float
+ *
+ * Computes the inverse hyperbolic sine of <i>x</i>.
+ */
+
+static VALUE
+math_asinh(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(asinh(RFLOAT(x)->value));
+}
+
+/*
+ * call-seq:
+ * Math.atanh(x) => float
+ *
+ * Computes the inverse hyperbolic tangent of <i>x</i>.
+ */
+
+static VALUE
+math_atanh(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = atanh(RFLOAT(x)->value);
+ domain_check(d, "atanh");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.exp(x) => float
+ *
+ * Returns e**x.
+ */
+
+static VALUE
+math_exp(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(exp(RFLOAT(x)->value));
+}
+
+#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
+ *
+ * Returns the natural logarithm of <i>numeric</i>.
+ */
+
+static VALUE
+math_log(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = log(RFLOAT(x)->value);
+ domain_check(d, "log");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.log10(numeric) => float
+ *
+ * Returns the base 10 logarithm of <i>numeric</i>.
+ */
+
+static VALUE
+math_log10(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = log10(RFLOAT(x)->value);
+ domain_check(d, "log10");
+ return rb_float_new(d);
+}
+
+/*
+ * call-seq:
+ * Math.sqrt(numeric) => float
+ *
+ * Returns the non-negative square root of <i>numeric</i>.
+ */
+
+static VALUE
+math_sqrt(obj, x)
+ VALUE obj, x;
+{
+ double d;
+
+ Need_Float(x);
+ errno = 0;
+ d = sqrt(RFLOAT(x)->value);
+ domain_check(d, "sqrt");
+ return rb_float_new(d);
+}
+
+/*
+ * 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(obj, x)
+ VALUE obj, x;
+{
+ double d;
+ int exp;
+
+ Need_Float(x);
+
+ d = frexp(RFLOAT(x)->value, &exp);
+ return rb_assoc_new(rb_float_new(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(obj, x, n)
+ VALUE obj, x, n;
+{
+ Need_Float(x);
+ return rb_float_new(ldexp(RFLOAT(x)->value, 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
+ */
+
+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));
+}
+
+/*
+ * call-seq:
+ * Math.erf(x) => float
+ *
+ * Calculates the error function of x.
+ */
+
+static VALUE
+math_erf(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(erf(RFLOAT(x)->value));
+}
+
+/*
+ * call-seq:
+ * Math.erfc(x) => float
+ *
+ * Calculates the complementary error function of x.
+ */
+
+static VALUE
+math_erfc(obj, x)
+ VALUE obj, x;
+{
+ Need_Float(x);
+ return rb_float_new(erfc(RFLOAT(x)->value));
+}
+
+/*
+ * 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()
+{
+ rb_mMath = rb_define_module("Math");
+
+#ifdef M_PI
+ rb_define_const(rb_mMath, "PI", rb_float_new(M_PI));
+#else
+ rb_define_const(rb_mMath, "PI", rb_float_new(atan(1.0)*4.0));
+#endif
+
+#ifdef M_E
+ rb_define_const(rb_mMath, "E", rb_float_new(M_E));
+#else
+ rb_define_const(rb_mMath, "E", rb_float_new(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, "log10", math_log10, 1);
+ rb_define_module_function(rb_mMath, "sqrt", math_sqrt, 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);
+}
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