first commit

nghttp2/third-party/mruby/mrbgems/mruby-math/mrbgem.rake

@@ -0,0 +1,5 @@
+MRuby::Gem::Specification.new('mruby-math') do |spec|
+  spec.license = 'MIT'
+  spec.author  = 'mruby developers'
+  spec.summary = 'standard Math module'
+end

nghttp2/third-party/mruby/mrbgems/mruby-math/src/math.c

@@ -0,0 +1,783 @@
+/*
+** math.c - Math module
+**
+** See Copyright Notice in mruby.h
+*/
+
+#ifdef MRB_WITHOUT_FLOAT
+# error Math conflicts 'MRB_WITHOUT_FLOAT' configuration in your 'build_config.rb'
+#endif
+
+#include <mruby.h>
+#include <mruby/array.h>
+
+#include <math.h>
+
+static void
+domain_error(mrb_state *mrb, const char *func)
+{
+  struct RClass *math = mrb_module_get(mrb, "Math");
+  struct RClass *domainerror = mrb_class_get_under(mrb, math, "DomainError");
+  mrb_raisef(mrb, domainerror, "Numerical argument is out of domain - %s", func);
+}
+
+/* math functions not provided by Microsoft Visual C++ 2012 or older */
+#if defined _MSC_VER && _MSC_VER <= 1700
+
+#include <float.h>
+
+double
+asinh(double x)
+{
+  double xa, ya, y;
+
+  /* Basic formula loses precision for x < 0, but asinh is an odd function */
+  xa = fabs(x);
+  if (xa > 3.16227E+18) {
+    /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
+    ya = log(xa) + 0.69314718055994530942;
+  }
+  else {
+    /* Basic formula for asinh */
+    ya = log(xa + sqrt(xa*xa + 1.0));
+  }
+
+  y = _copysign(ya, x);
+  return y;
+}
+
+double
+acosh(double x)
+{
+  double y;
+
+  if (x > 3.16227E+18) {
+    /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
+    y = log(x) + 0.69314718055994530942;
+  }
+  else {
+    /* Basic formula for acosh */
+    y = log(x + sqrt(x*x - 1.0));
+  }
+
+  return y;
+}
+
+double
+atanh(double x)
+{
+  double y;
+
+  if (fabs(x) < 1E-2) {
+    /* The sums 1+x and 1-x lose precision for small x.  Use the polynomial
+       instead. */
+    double x2 = x * x;
+    y = x*(1.0 + x2*(1.0/3.0 + x2*(1.0/5.0 + x2*(1.0/7.0))));
+  }
+  else {
+    /* Basic formula for atanh */
+    y = 0.5 * (log(1.0+x) - log(1.0-x));
+  }
+
+  return y;
+}
+
+double
+cbrt(double x)
+{
+  double xa, ya, y;
+
+  /* pow(x, y) is undefined for x < 0 and y not an integer, but cbrt is an
+     odd function */
+  xa = fabs(x);
+  ya = pow(xa, 1.0/3.0);
+  y = _copysign(ya, x);
+  return y;
+}
+
+/* Declaration of complementary Error function */
+double
+erfc(double x);
+
+/*
+** Implementations of error functions
+** credits to http://www.digitalmars.com/archives/cplusplus/3634.html
+*/
+
+/* Implementation of Error function */
+double
+erf(double x)
+{
+  static const double two_sqrtpi =  1.128379167095512574;
+  double sum  = x;
+  double term = x;
+  double xsqr = x*x;
+  int j= 1;
+  if (fabs(x) > 2.2) {
+    return 1.0 - erfc(x);
+  }
+  do {
+    term *= xsqr/j;
+    sum  -= term/(2*j+1);
+    ++j;
+    term *= xsqr/j;
+    sum  += term/(2*j+1);
+    ++j;
+    if (sum == 0) break;
+  } while (fabs(term/sum) > DBL_EPSILON);
+  return two_sqrtpi*sum;
+}
+
+/* Implementation of complementary Error function */
+double
+erfc(double x)
+{
+  static const double one_sqrtpi=  0.564189583547756287;
+  double a = 1;
+  double b = x;
+  double c = x;
+  double d = x*x+0.5;
+  double q1;
+  double q2 = b/d;
+  double n = 1.0;
+  double t;
+  if (fabs(x) < 2.2) {
+    return 1.0 - erf(x);
+  }
+  if (x < 0.0) { /*signbit(x)*/
+    return 2.0 - erfc(-x);
+  }
+  do {
+    t  = a*n+b*x;
+    a  = b;
+    b  = t;
+    t  = c*n+d*x;
+    c  = d;
+    d  = t;
+    n += 0.5;
+    q1 = q2;
+    q2 = b/d;
+  } while (fabs(q1-q2)/q2 > DBL_EPSILON);
+  return one_sqrtpi*exp(-x*x)*q2;
+}
+
+#endif
+
+#if defined __FreeBSD__ && !defined __FreeBSD_version
+#include <osreldate.h> /* for __FreeBSD_version */
+#endif
+
+#if (defined _MSC_VER && _MSC_VER < 1800) || defined __ANDROID__ || (defined __FreeBSD__  &&  __FreeBSD_version < 803000)
+
+double
+log2(double x)
+{
+    return log10(x)/log10(2.0);
+}
+
+#endif
+
+/*
+  TRIGONOMETRIC FUNCTIONS
+*/
+
+/*
+ *  call-seq:
+ *     Math.sin(x)    -> float
+ *
+ *  Computes the sine of <i>x</i> (expressed in radians). Returns
+ *  -1..1.
+ */
+static mrb_value
+math_sin(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = sin(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.cos(x)    -> float
+ *
+ *  Computes the cosine of <i>x</i> (expressed in radians). Returns
+ *  -1..1.
+ */
+static mrb_value
+math_cos(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = cos(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.tan(x)    -> float
+ *
+ *  Returns the tangent of <i>x</i> (expressed in radians).
+ */
+static mrb_value
+math_tan(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = tan(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+  INVERSE TRIGONOMETRIC FUNCTIONS
+*/
+
+/*
+ *  call-seq:
+ *     Math.asin(x)    -> float
+ *
+ *  Computes the arc sine of <i>x</i>.
+ *  @return computed value between `-(PI/2)` and `(PI/2)`.
+ */
+static mrb_value
+math_asin(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < -1.0 || x > 1.0) {
+    domain_error(mrb, "asin");
+  }
+  x = asin(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.acos(x)    -> float
+ *
+ *  Computes the arc cosine of <i>x</i>. Returns 0..PI.
+ */
+static mrb_value
+math_acos(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < -1.0 || x > 1.0) {
+    domain_error(mrb, "acos");
+  }
+  x = acos(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.atan(x)    -> float
+ *
+ *  Computes the arc tangent of <i>x</i>. Returns `-(PI/2) .. (PI/2)`.
+ */
+static mrb_value
+math_atan(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = atan(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.atan2(y, x)  -> float
+ *
+ *  Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
+ *  -PI..PI.
+ *
+ *    Math.atan2(-0.0, -1.0) #=> -3.141592653589793
+ *    Math.atan2(-1.0, -1.0) #=> -2.356194490192345
+ *    Math.atan2(-1.0, 0.0)  #=> -1.5707963267948966
+ *    Math.atan2(-1.0, 1.0)  #=> -0.7853981633974483
+ *    Math.atan2(-0.0, 1.0)  #=> -0.0
+ *    Math.atan2(0.0, 1.0)   #=> 0.0
+ *    Math.atan2(1.0, 1.0)   #=> 0.7853981633974483
+ *    Math.atan2(1.0, 0.0)   #=> 1.5707963267948966
+ *    Math.atan2(1.0, -1.0)  #=> 2.356194490192345
+ *    Math.atan2(0.0, -1.0)  #=> 3.141592653589793
+ *
+ */
+static mrb_value
+math_atan2(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x, y;
+
+  mrb_get_args(mrb, "ff", &x, &y);
+  x = atan2(x, y);
+
+  return mrb_float_value(mrb, x);
+}
+
+
+
+/*
+  HYPERBOLIC TRIG FUNCTIONS
+*/
+/*
+ *  call-seq:
+ *     Math.sinh(x)    -> float
+ *
+ *  Computes the hyperbolic sine of <i>x</i> (expressed in
+ *  radians).
+ */
+static mrb_value
+math_sinh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = sinh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.cosh(x)    -> float
+ *
+ *  Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
+ */
+static mrb_value
+math_cosh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = cosh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.tanh()    -> float
+ *
+ *  Computes the hyperbolic tangent of <i>x</i> (expressed in
+ *  radians).
+ */
+static mrb_value
+math_tanh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = tanh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+
+/*
+  INVERSE HYPERBOLIC TRIG FUNCTIONS
+*/
+
+/*
+ *  call-seq:
+ *     Math.asinh(x)    -> float
+ *
+ *  Computes the inverse hyperbolic sine of <i>x</i>.
+ */
+static mrb_value
+math_asinh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+
+  x = asinh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.acosh(x)    -> float
+ *
+ *  Computes the inverse hyperbolic cosine of <i>x</i>.
+ */
+static mrb_value
+math_acosh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < 1.0) {
+    domain_error(mrb, "acosh");
+  }
+  x = acosh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.atanh(x)    -> float
+ *
+ *  Computes the inverse hyperbolic tangent of <i>x</i>.
+ */
+static mrb_value
+math_atanh(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < -1.0 || x > 1.0) {
+    domain_error(mrb, "atanh");
+  }
+  x = atanh(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+  EXPONENTIALS AND LOGARITHMS
+*/
+
+/*
+ *  call-seq:
+ *     Math.exp(x)    -> float
+ *
+ *  Returns e**x.
+ *
+ *    Math.exp(0)       #=> 1.0
+ *    Math.exp(1)       #=> 2.718281828459045
+ *    Math.exp(1.5)     #=> 4.4816890703380645
+ *
+ */
+static mrb_value
+math_exp(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = exp(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  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.
+ *
+ *    Math.log(1)          #=> 0.0
+ *    Math.log(Math::E)    #=> 1.0
+ *    Math.log(Math::E**3) #=> 3.0
+ *    Math.log(12,3)       #=> 2.2618595071429146
+ *
+ */
+static mrb_value
+math_log(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x, base;
+  mrb_int argc;
+
+  argc = mrb_get_args(mrb, "f|f", &x, &base);
+  if (x < 0.0) {
+    domain_error(mrb, "log");
+  }
+  x = log(x);
+  if (argc == 2) {
+    if (base < 0.0) {
+      domain_error(mrb, "log");
+    }
+    x /= log(base);
+  }
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.log2(numeric)    -> float
+ *
+ *  Returns the base 2 logarithm of <i>numeric</i>.
+ *
+ *    Math.log2(1)      #=> 0.0
+ *    Math.log2(2)      #=> 1.0
+ *    Math.log2(32768)  #=> 15.0
+ *    Math.log2(65536)  #=> 16.0
+ *
+ */
+static mrb_value
+math_log2(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < 0.0) {
+    domain_error(mrb, "log2");
+  }
+  x = log2(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.log10(numeric)    -> float
+ *
+ *  Returns the base 10 logarithm of <i>numeric</i>.
+ *
+ *    Math.log10(1)       #=> 0.0
+ *    Math.log10(10)      #=> 1.0
+ *    Math.log10(10**100) #=> 100.0
+ *
+ */
+static mrb_value
+math_log10(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < 0.0) {
+    domain_error(mrb, "log10");
+  }
+  x = log10(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  call-seq:
+ *     Math.sqrt(numeric)    -> float
+ *
+ *  Returns the square root of <i>numeric</i>.
+ *
+ */
+static mrb_value
+math_sqrt(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  if (x < 0.0) {
+    domain_error(mrb, "sqrt");
+  }
+  x = sqrt(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+
+/*
+ *  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 mrb_value
+math_cbrt(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = cbrt(x);
+
+  return mrb_float_value(mrb, 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 mrb_value
+math_frexp(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+  int exp;
+
+  mrb_get_args(mrb, "f", &x);
+  x = frexp(x, &exp);
+
+  return mrb_assoc_new(mrb, mrb_float_value(mrb, x), mrb_fixnum_value(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 mrb_value
+math_ldexp(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+  mrb_int   i;
+
+  mrb_get_args(mrb, "fi", &x, &i);
+  x = ldexp(x, (int)i);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ *  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 mrb_value
+math_hypot(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x, y;
+
+  mrb_get_args(mrb, "ff", &x, &y);
+  x = hypot(x, y);
+
+  return mrb_float_value(mrb, x);
+}
+
+/*
+ * call-seq:
+ *    Math.erf(x)  -> float
+ *
+ *  Calculates the error function of x.
+ */
+static mrb_value
+math_erf(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = erf(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+
+/*
+ * call-seq:
+ *    Math.erfc(x)  -> float
+ *
+ *  Calculates the complementary error function of x.
+ */
+static mrb_value
+math_erfc(mrb_state *mrb, mrb_value obj)
+{
+  mrb_float x;
+
+  mrb_get_args(mrb, "f", &x);
+  x = erfc(x);
+
+  return mrb_float_value(mrb, x);
+}
+
+/* ------------------------------------------------------------------------*/
+void
+mrb_mruby_math_gem_init(mrb_state* mrb)
+{
+  struct RClass *mrb_math;
+  mrb_math = mrb_define_module(mrb, "Math");
+
+  mrb_define_class_under(mrb, mrb_math, "DomainError", mrb->eStandardError_class);
+
+#ifdef M_PI
+  mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, M_PI));
+#else
+  mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, atan(1.0)*4.0));
+#endif
+
+#ifdef M_E
+  mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, M_E));
+#else
+  mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, exp(1.0)));
+#endif
+
+  mrb_define_module_function(mrb, mrb_math, "sin", math_sin, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "cos", math_cos, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "tan", math_tan, MRB_ARGS_REQ(1));
+
+  mrb_define_module_function(mrb, mrb_math, "asin", math_asin, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "acos", math_acos, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "atan", math_atan, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "atan2", math_atan2, MRB_ARGS_REQ(2));
+
+  mrb_define_module_function(mrb, mrb_math, "sinh", math_sinh, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "cosh", math_cosh, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "tanh", math_tanh, MRB_ARGS_REQ(1));
+
+  mrb_define_module_function(mrb, mrb_math, "asinh", math_asinh, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "acosh", math_acosh, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "atanh", math_atanh, MRB_ARGS_REQ(1));
+
+  mrb_define_module_function(mrb, mrb_math, "exp", math_exp, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "log", math_log, MRB_ARGS_REQ(1)|MRB_ARGS_OPT(1));
+  mrb_define_module_function(mrb, mrb_math, "log2", math_log2, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "log10", math_log10, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "sqrt", math_sqrt, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "cbrt", math_cbrt, MRB_ARGS_REQ(1));
+
+  mrb_define_module_function(mrb, mrb_math, "frexp", math_frexp, MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "ldexp", math_ldexp, MRB_ARGS_REQ(2));
+
+  mrb_define_module_function(mrb, mrb_math, "hypot", math_hypot, MRB_ARGS_REQ(2));
+
+  mrb_define_module_function(mrb, mrb_math, "erf",  math_erf,  MRB_ARGS_REQ(1));
+  mrb_define_module_function(mrb, mrb_math, "erfc", math_erfc, MRB_ARGS_REQ(1));
+}
+
+void
+mrb_mruby_math_gem_final(mrb_state* mrb)
+{
+}

nghttp2/third-party/mruby/mrbgems/mruby-math/test/math.rb

@@ -0,0 +1,239 @@
+##
+# Math Test
+
+def assert_float_and_int(exp_ary, act_ary)
+  assert('assert_float_and_int') do
+    flo_exp, int_exp, flo_act, int_act = *exp_ary, *act_ary
+    assert_float(flo_exp, flo_act)
+    assert_operator(int_exp, :eql?, int_act)
+  end
+end
+
+assert('Math.sin 0') do
+  assert_float(0, Math.sin(0))
+end
+
+assert('Math.sin PI/2') do
+  assert_float(1, Math.sin(Math::PI / 2))
+end
+
+assert('Math.cos 0') do
+  assert_float(1, Math.cos(0))
+end
+
+assert('Math.cos PI/2') do
+  assert_float(0, Math.cos(Math::PI / 2))
+end
+
+assert('Math.tan 0') do
+  assert_float(0, Math.tan(0))
+end
+
+assert('Math.tan PI/4') do
+  assert_float(1, Math.tan(Math::PI / 4))
+end
+
+assert('Fundamental trig identities') do
+  N = 13
+  N.times do |i|
+    a  = Math::PI / N * i
+    ca = Math::PI / 2 - a
+    s  = Math.sin(a)
+    c  = Math.cos(a)
+    t  = Math.tan(a)
+    assert_float(Math.cos(ca), s)
+    assert_float(1 / Math.tan(ca), t)
+    assert_float(1, s ** 2 + c ** 2)
+    assert_float((1/c) ** 2, t ** 2 + 1)
+    assert_float((1/s) ** 2, (1/t) ** 2 + 1)
+  end
+end
+
+assert('Math.erf 0') do
+  assert_float(0, Math.erf(0))
+end
+
+assert('Math.exp 0') do
+  assert_float(1.0, Math.exp(0))
+end
+
+assert('Math.exp 1') do
+  assert_float(2.718281828459045, Math.exp(1))
+end
+
+assert('Math.exp 1.5') do
+  assert_float(4.4816890703380645, Math.exp(1.5))
+end
+
+assert('Math.log 1') do
+  assert_float(0, Math.log(1))
+end
+
+assert('Math.log E') do
+  assert_float(1.0, Math.log(Math::E))
+end
+
+assert('Math.log E**3') do
+  assert_float(3.0, Math.log(Math::E**3))
+end
+
+assert('Math.log2 1') do
+  assert_float(0.0, Math.log2(1))
+end
+
+assert('Math.log2 2') do
+  assert_float(1.0, Math.log2(2))
+end
+
+assert('Math.log10 1') do
+  assert_float(0.0, Math.log10(1))
+end
+
+assert('Math.log10 10') do
+  assert_float(1.0, Math.log10(10))
+end
+
+assert('Math.log10 10**100') do
+  assert_float(100.0, Math.log10(10**100))
+end
+
+assert('Math.sqrt') do
+  num = [0.0, 1.0, 2.0, 3.0, 4.0]
+  sqr = [0, 1, 4, 9, 16]
+  sqr.each_with_index do |v,i|
+    assert_float(num[i], Math.sqrt(v))
+  end
+end
+
+assert('Math.cbrt') do
+  num = [-2.0, -1.0, 0.0, 1.0, 2.0]
+  cub = [-8, -1, 0, 1, 8]
+  cub.each_with_index do |v,i|
+    assert_float(num[i], Math.cbrt(v))
+  end
+end
+
+assert('Math.hypot') do
+  assert_float(5.0, Math.hypot(3, 4))
+end
+
+assert('Math.erf 1') do
+  assert_float(0.842700792949715, Math.erf(1))
+end
+
+assert('Math.erfc 1') do
+  assert_float(0.157299207050285, Math.erfc(1))
+end
+
+assert('Math.erf -1') do
+  assert_float(-0.8427007929497148, Math.erf(-1))
+end
+
+assert('Math.erfc -1') do
+  assert_float(1.8427007929497148, Math.erfc(-1))
+end
+
+assert('Math.acos') do
+  assert_float(0 * Math::PI / 4, Math.acos( 1.0))
+  assert_float(1 * Math::PI / 4, Math.acos( 1.0 / Math.sqrt(2)))
+  assert_float(2 * Math::PI / 4, Math.acos( 0.0))
+  assert_float(4 * Math::PI / 4, Math.acos(-1.0))
+  assert_raise(Math::DomainError) { Math.acos(+1.1) }
+  assert_raise(Math::DomainError) { Math.acos(-1.1) }
+end
+
+assert('Math.asin') do
+  assert_float( 0 * Math::PI / 4, Math.asin( 0.0))
+  assert_float( 1 * Math::PI / 4, Math.asin( 1.0 / Math.sqrt(2)))
+  assert_float( 2 * Math::PI / 4, Math.asin( 1.0))
+  assert_float(-2 * Math::PI / 4, Math.asin(-1.0))
+  assert_raise(Math::DomainError) { Math.asin(+1.1) }
+  assert_raise(Math::DomainError) { Math.asin(-1.1) }
+  assert_raise(Math::DomainError) { Math.asin(2.0) }
+end
+
+assert('Math.atan') do
+  assert_float( 0 * Math::PI / 4, Math.atan( 0.0))
+  assert_float( 1 * Math::PI / 4, Math.atan( 1.0))
+  assert_float( 2 * Math::PI / 4, Math.atan(1.0 / 0.0))
+  assert_float(-1 * Math::PI / 4, Math.atan(-1.0))
+end
+
+assert('Math.cosh') do
+  assert_float(1, Math.cosh(0))
+  assert_float((Math::E ** 1 + Math::E ** -1) / 2, Math.cosh(1))
+  assert_float((Math::E ** 2 + Math::E ** -2) / 2, Math.cosh(2))
+end
+
+assert('Math.sinh') do
+  assert_float(0, Math.sinh(0))
+  assert_float((Math::E ** 1 - Math::E ** -1) / 2, Math.sinh(1))
+  assert_float((Math::E ** 2 - Math::E ** -2) / 2, Math.sinh(2))
+end
+
+assert('Math.tanh') do
+  assert_float(Math.sinh(0) / Math.cosh(0), Math.tanh(0))
+  assert_float(Math.sinh(1) / Math.cosh(1), Math.tanh(1))
+  assert_float(Math.sinh(2) / Math.cosh(2), Math.tanh(2))
+  assert_float(+1.0, Math.tanh(+1000.0))
+  assert_float(-1.0, Math.tanh(-1000.0))
+end
+
+assert('Math.acosh') do
+  assert_float(0, Math.acosh(1))
+  assert_float(1, Math.acosh((Math::E ** 1 + Math::E ** -1) / 2))
+  assert_float(2, Math.acosh((Math::E ** 2 + Math::E ** -2) / 2))
+  assert_raise(Math::DomainError) { Math.acosh(0.9) }
+  assert_raise(Math::DomainError) { Math.acosh(0) }
+end
+
+assert('Math.asinh') do
+  assert_float(0, Math.asinh(0))
+  assert_float(1, Math.asinh((Math::E ** 1 - Math::E ** -1) / 2))
+  assert_float(2, Math.asinh((Math::E ** 2 - Math::E ** -2) / 2))
+end
+
+assert('Math.atanh') do
+  assert_float(0, Math.atanh(Math.sinh(0) / Math.cosh(0)))
+  assert_float(1, Math.atanh(Math.sinh(1) / Math.cosh(1)))
+  assert_float(2, Math.atanh(Math.sinh(2) / Math.cosh(2)))
+  assert_float(Float::INFINITY, Math.atanh(1))
+  assert_float(-Float::INFINITY, Math.atanh(-1))
+  assert_raise(Math::DomainError) { Math.atanh(+1.1) }
+  assert_raise(Math::DomainError) { Math.atanh(-1.1) }
+end
+
+assert('Math.atan2') do
+  assert_float(+0.0, Math.atan2(+0.0, +0.0))
+  assert_float(-0.0, Math.atan2(-0.0, +0.0))
+  assert_float(+Math::PI, Math.atan2(+0.0, -0.0))
+  assert_float(-Math::PI, Math.atan2(-0.0, -0.0))
+
+  inf = Float::INFINITY
+  expected = 3.0 * Math::PI / 4.0
+  assert_float(+expected, Math.atan2(+inf, -inf))
+  assert_float(-expected, Math.atan2(-inf, -inf))
+  expected = Math::PI / 4.0
+  assert_float(+expected, Math.atan2(+inf, +inf))
+  assert_float(-expected, Math.atan2(-inf, +inf))
+
+  assert_float(0, Math.atan2(0, 1))
+  assert_float(Math::PI / 4, Math.atan2(1, 1))
+  assert_float(Math::PI / 2, Math.atan2(1, 0))
+end
+
+assert('Math.ldexp') do
+  assert_float(0.0, Math.ldexp(0.0, 0.0))
+  assert_float(0.5, Math.ldexp(0.5, 0.0))
+  assert_float(1.0, Math.ldexp(0.5, 1.0))
+  assert_float(2.0, Math.ldexp(0.5, 2.0))
+  assert_float(3.0, Math.ldexp(0.75, 2.0))
+end
+
+assert('Math.frexp') do
+  assert_float_and_int([0.0,  0], Math.frexp(0.0))
+  assert_float_and_int([0.5,  0], Math.frexp(0.5))
+  assert_float_and_int([0.5,  1], Math.frexp(1.0))
+  assert_float_and_int([0.5,  2], Math.frexp(2.0))
+  assert_float_and_int([0.75, 2], Math.frexp(3.0))
+end