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-rw-r--r--src/numeric.c2018
1 files changed, 2018 insertions, 0 deletions
diff --git a/src/numeric.c b/src/numeric.c
new file mode 100644
index 000000000..f79369d90
--- /dev/null
+++ b/src/numeric.c
@@ -0,0 +1,2018 @@
+/**********************************************************************
+
+ numeric.c -
+
+ $Author: yugui $
+ created at: Fri Aug 13 18:33:09 JST 1993
+
+ Copyright (C) 1993-2007 Yukihiro Matsumoto
+
+**********************************************************************/
+
+#include "mruby.h"
+#include "mruby/numeric.h"
+#include "mruby/string.h"
+#include "mruby/array.h"
+#include <string.h>
+#include "mruby/class.h"
+#include "variable.h"
+
+#include <ctype.h>
+#include <math.h>
+#include <stdio.h>
+
+#ifdef INCLUDE_REGEXP
+#include "encoding.h"
+#endif
+
+#if defined(__FreeBSD__) && __FreeBSD__ < 4
+#include <floatingpoint.h>
+#endif
+
+#ifdef HAVE_FLOAT_H
+#include <float.h>
+#endif
+
+#ifdef HAVE_IEEEFP_H
+#include <ieeefp.h>
+#endif
+
+#ifndef mrb_usascii_str_new2
+ #ifdef INCLUDE_REGEXP
+ #define mrb_usascii_str_new2 mrb_usascii_str_new_cstr
+ #else
+ #define mrb_usascii_str_new2 mrb_str_new_cstr
+ #endif
+#endif
+#ifndef mrb_usascii_str_new2
+ #ifdef INCLUDE_REGEXP
+ #else
+ #define mrb_usascii_str_new mrb_str_new
+ #endif
+#endif
+
+/* use IEEE 64bit values if not defined */
+#ifndef FLT_RADIX
+#define FLT_RADIX 2
+#endif
+#ifndef FLT_ROUNDS
+#define FLT_ROUNDS 1
+#endif
+#ifndef DBL_MIN
+#define DBL_MIN 2.2250738585072014e-308
+#endif
+#ifndef DBL_MAX
+#define DBL_MAX 1.7976931348623157e+308
+#endif
+#ifndef DBL_MIN_EXP
+#define DBL_MIN_EXP (-1021)
+#endif
+#ifndef DBL_MAX_EXP
+#define DBL_MAX_EXP 1024
+#endif
+#ifndef DBL_MIN_10_EXP
+#define DBL_MIN_10_EXP (-307)
+#endif
+#ifndef DBL_MAX_10_EXP
+#define DBL_MAX_10_EXP 308
+#endif
+#ifndef DBL_DIG
+#define DBL_DIG 15
+#endif
+#ifndef DBL_MANT_DIG
+#define DBL_MANT_DIG 53
+#endif
+#ifndef DBL_EPSILON
+#define DBL_EPSILON 2.2204460492503131e-16
+#endif
+
+#define mrb_rational_raw1(x) mrb_rational_raw(x, INT2FIX(1))
+
+#if SIZEOF_LONG_LONG > 0
+# define LONG_LONG long long
+#elif SIZEOF___INT64 > 0
+# define HAVE_LONG_LONG 1
+# define LONG_LONG __int64
+# undef SIZEOF_LONG_LONG
+# define SIZEOF_LONG_LONG SIZEOF___INT64
+#endif
+
+#if defined HAVE_UINTPTR_T && 0
+typedef uintptr_t VALUE;
+typedef uintptr_t ID;
+# define SIGNED_VALUE intptr_t
+# define SIZEOF_VALUE SIZEOF_UINTPTR_T
+#elif SIZEOF_LONG == SIZEOF_VOIDP
+//typedef unsigned long VALUE;
+//typedef unsigned long ID;
+# define SIGNED_VALUE long long
+# define SIZEOF_VALUE SIZEOF_LONG
+#elif SIZEOF_LONG_LONG == SIZEOF_VOIDP
+typedef unsigned LONG_LONG VALUE;
+typedef unsigned LONG_LONG ID;
+# define SIGNED_VALUE LONG_LONG
+# define LONG_LONG_VALUE 1
+# define SIZEOF_VALUE SIZEOF_LONG_LONG
+#else
+# error ---->> ruby requires sizeof(void*) == sizeof(long) to be compiled. <<----
+#endif
+
+#ifdef HAVE_INFINITY
+#elif BYTE_ORDER == LITTLE_ENDIAN
+const unsigned char mrb_infinity[] = "\x00\x00\x80\x7f";
+#else
+const unsigned char mrb_infinity[] = "\x7f\x80\x00\x00";
+#endif
+
+#ifdef HAVE_NAN
+#elif BYTE_ORDER == LITTLE_ENDIAN
+const unsigned char mrb_nan[] = "\x00\x00\xc0\x7f";
+#else
+const unsigned char mrb_nan[] = "\x7f\xc0\x00\x00";
+#endif
+
+extern double round(double);
+
+#ifndef HAVE_ROUND
+double
+round(double x)
+{
+ double f;
+
+ if (x > 0.0) {
+ f = floor(x);
+ x = f + (x - f >= 0.5);
+ }
+ else if (x < 0.0) {
+ f = ceil(x);
+ x = f - (f - x >= 0.5);
+ }
+ return x;
+}
+#endif
+
+
+
+
+void mrb_cmperr(mrb_state *mrb, mrb_value x, mrb_value y);
+
+void
+mrb_num_zerodiv(mrb_state *mrb)
+{
+ mrb_raise(mrb, E_ZERODIVISION_ERROR, "divided by 0");
+}
+
+
+/*
+ * call-seq:
+ * num.coerce(numeric) -> array
+ *
+ * If <i>aNumeric</i> is the same type as <i>num</i>, returns an array
+ * containing <i>aNumeric</i> and <i>num</i>. Otherwise, returns an
+ * array with both <i>aNumeric</i> and <i>num</i> represented as
+ * <code>Float</code> objects. This coercion mechanism is used by
+ * Ruby to handle mixed-type numeric operations: it is intended to
+ * find a compatible common type between the two operands of the operator.
+ *
+ * 1.coerce(2.5) #=> [2.5, 1.0]
+ * 1.2.coerce(3) #=> [3.0, 1.2]
+ * 1.coerce(2) #=> [2, 1]
+ */
+
+static mrb_value
+num_coerce(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ //if (CLASS_OF(x) == CLASS_OF(y))
+ if (mrb_class(mrb, x) == mrb_class(mrb, y))
+ return mrb_assoc_new(mrb, y, x);
+ x = mrb_Float(mrb, x);
+ y = mrb_Float(mrb, y);
+ return mrb_assoc_new(mrb, y, x);
+}
+
+static mrb_value
+coerce_body(mrb_state *mrb, mrb_value *x)
+{
+ return mrb_funcall(mrb, x[1], "coerce", 1, x[0]);
+}
+
+static mrb_value
+coerce_rescue(mrb_state *mrb, mrb_value *x)
+{
+ volatile mrb_value v = mrb_inspect(mrb, x[1]);
+
+ mrb_raise(mrb, E_TYPE_ERROR, "%s can't be coerced into %s",
+ mrb_special_const_p(x[1])?
+ RSTRING_PTR(v):
+ mrb_obj_classname(mrb, x[1]),
+ mrb_obj_classname(mrb, x[0]));
+ return mrb_nil_value(); /* dummy */
+}
+
+static int
+do_coerce(mrb_state *mrb, mrb_value *x, mrb_value *y, int err)
+{
+ mrb_value ary;
+ mrb_value a[2];
+
+ a[0] = *x; a[1] = *y;
+
+ ary = coerce_body(mrb, a);
+ if (mrb_type(ary) != MRB_TT_ARRAY || RARRAY_LEN(ary) != 2) {
+ if (err) {
+ mrb_raise(mrb, E_TYPE_ERROR, "coerce must return [x, y]");
+ }
+ return FALSE;
+ }
+
+ *x = RARRAY_PTR(ary)[0];
+ *y = RARRAY_PTR(ary)[1];
+ return TRUE;
+}
+
+mrb_value
+mrb_num_coerce_bin(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
+{
+ do_coerce(mrb, &x, &y, TRUE);
+ return mrb_funcall(mrb, x, func, 1, y);
+}
+
+mrb_value
+mrb_num_coerce_cmp(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
+{
+ if (do_coerce(mrb, &x, &y, FALSE))
+ return mrb_funcall(mrb, x, func, 1, y);
+ return mrb_nil_value();
+}
+
+mrb_value
+mrb_num_coerce_relop(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
+{
+ mrb_value c, x0 = x, y0 = y;
+
+ if (!do_coerce(mrb, &x, &y, FALSE) ||
+ mrb_nil_p(c = mrb_funcall(mrb, x, func, 1, y))) {
+ mrb_cmperr(mrb, x0, y0);
+ return mrb_nil_value(); /* not reached */
+ }
+ return c;
+}
+
+/*
+ * call-seq:
+ * +num -> num
+ *
+ * Unary Plus---Returns the receiver's value.
+ */
+
+static mrb_value
+num_uplus(mrb_state *mrb, mrb_value num)
+{
+ return num;
+}
+
+/*
+ * call-seq:
+ * -num -> numeric
+ *
+ * Unary Minus---Returns the receiver's value, negated.
+ */
+
+static mrb_value
+num_uminus(mrb_state *mrb, mrb_value num)
+{
+ mrb_value zero;
+
+ zero = mrb_fixnum_value(0);
+ do_coerce(mrb, &zero, &num, TRUE);
+
+ return mrb_funcall(mrb, zero, "-", 1, num);
+}
+
+/*
+ * call-seq:
+ * num.quo(numeric) -> real
+ *
+ * Returns most exact division (rational for integers, float for floats).
+ */
+static mrb_value
+num_quo(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_funcall(mrb, mrb_float_value((double)mrb_fixnum(x)), "/", 1, y);
+}
+
+/*
+ * call-seq:
+ * num.abs -> numeric
+ * num.magnitude -> numeric
+ *
+ * Returns the absolute value of <i>num</i>.
+ *
+ * 12.abs #=> 12
+ * (-34.56).abs #=> 34.56
+ * -34.56.abs #=> 34.56
+ */
+
+static mrb_value
+num_abs(mrb_state *mrb, mrb_value num)
+{
+ if (mrb_test(mrb_funcall(mrb, num, "<", 1, mrb_fixnum_value(0)))) {
+ return mrb_funcall(mrb, num, "-@", 0);
+ }
+ return num;
+}
+
+/********************************************************************
+ *
+ * Document-class: Float
+ *
+ * <code>Float</code> objects represent inexact real numbers using
+ * the native architecture's double-precision floating point
+ * representation.
+ */
+
+mrb_value
+mrb_float_new(double d)
+{
+ //NEWOBJ(flt, struct RFloat);
+ //OBJSETUP(flt, mrb_cFloat, MRB_TT_FLOAT);
+
+ //flt->float_value = d;
+ //return (mrb_value)flt;
+ return mrb_float_value(d);
+}
+
+/* 15.2.9.3.16(x) */
+/*
+ * call-seq:
+ * flt.to_s -> string
+ *
+ * Returns a string containing a representation of self. As well as a
+ * fixed or exponential form of the number, the call may return
+ * ``<code>NaN</code>'', ``<code>Infinity</code>'', and
+ * ``<code>-Infinity</code>''.
+ */
+
+static mrb_value
+flo_to_s(mrb_state *mrb, mrb_value flt)
+{
+ char buf[32];
+ double value = mrb_float(flt);
+ char *p, *e;
+
+ if (isinf(value))
+ return mrb_str_new2(mrb, value < 0 ? "-Infinity" : "Infinity");
+ else if(isnan(value))
+ return mrb_str_new2(mrb, "NaN");
+
+ sprintf(buf, "%#.15g", value); /* ensure to print decimal point */
+ if (!(e = strchr(buf, 'e'))) {
+ e = buf + strlen(buf);
+ }
+ if (!ISDIGIT(e[-1])) { /* reformat if ended with decimal point (ex 111111111111111.) */
+ sprintf(buf, "%#.14e", value);
+ if (!(e = strchr(buf, 'e'))) {
+ e = buf + strlen(buf);
+ }
+ }
+ p = e;
+ while (p[-1]=='0' && ISDIGIT(p[-2]))
+ p--;
+ memmove(p, e, strlen(e)+1);
+ return mrb_str_new2(mrb, buf);
+}
+
+/* 15.2.9.3.2 */
+/*
+ * call-seq:
+ * float - other -> float
+ *
+ * Returns a new float which is the difference of <code>float</code>
+ * and <code>other</code>.
+ */
+
+static mrb_value
+flo_minus(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ return mrb_float_value(mrb_float(x) - (double)mrb_fixnum(y));
+ case MRB_TT_FLOAT:
+ return mrb_float_value(mrb_float(x) - mrb_float(y));
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "-");
+ }
+}
+
+/* 15.2.9.3.3 */
+/*
+ * call-seq:
+ * float * other -> float
+ *
+ * Returns a new float which is the product of <code>float</code>
+ * and <code>other</code>.
+ */
+
+static mrb_value
+flo_mul(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ return mrb_float_value(mrb_float(x) * (double)mrb_fixnum(y));
+ case MRB_TT_FLOAT:
+ return mrb_float_value(mrb_float(x) * mrb_float(y));
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "*");
+ }
+}
+
+/* 15.2.9.3.4 */
+/*
+ * call-seq:
+ * float / other -> float
+ *
+ * Returns a new float which is the result of dividing
+ * <code>float</code> by <code>other</code>.
+ */
+
+static mrb_value
+flo_div(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long f_y;
+ //double d;
+
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ f_y = mrb_fixnum(y);
+ return mrb_float_value(mrb_float(x) / (double)f_y);
+ case MRB_TT_FLOAT:
+ return mrb_float_value(mrb_float(x) / mrb_float(y));
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "/");
+ }
+}
+
+/*
+ * call-seq:
+ * float.quo(numeric) -> float
+ *
+ * Returns float / numeric.
+ */
+static mrb_value
+flo_quo(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_funcall(mrb, x, "/", 1, y);
+}
+
+static void
+flodivmod(mrb_state *mrb, double x, double y, double *divp, double *modp)
+{
+ double div, mod;
+
+ if (y == 0.0) mrb_num_zerodiv(mrb);
+#ifdef HAVE_FMOD
+ mod = fmod(x, y);
+#else
+ {
+ double z;
+
+ modf(x/y, &z);
+ mod = x - z * y;
+ }
+#endif
+ if (isinf(x) && !isinf(y) && !isnan(y))
+ div = x;
+ else
+ div = (x - mod) / y;
+ if (y*mod < 0) {
+ mod += y;
+ div -= 1.0;
+ }
+ if (modp) *modp = mod;
+ if (divp) *divp = div;
+}
+
+/* 15.2.9.3.5 */
+/*
+ * call-seq:
+ * flt % other -> float
+ * flt.modulo(other) -> float
+ *
+ * Return the modulo after division of <code>flt</code> by <code>other</code>.
+ *
+ * 6543.21.modulo(137) #=> 104.21
+ * 6543.21.modulo(137.24) #=> 92.9299999999996
+ */
+
+static mrb_value
+flo_mod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ double fy, mod;
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ fy = (double)mrb_fixnum(y);
+ break;
+ case MRB_TT_FLOAT:
+ fy = mrb_float(y);
+ break;
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "%");
+ }
+ flodivmod(mrb, mrb_float(x), fy, 0, &mod);
+ return mrb_float_value(mod);
+}
+
+static mrb_value
+dbl2ival(double d)
+{
+ if (FIXABLE(d)) {
+ d = round(d);
+ return mrb_fixnum_value((long)d);
+ }
+ return mrb_nil_value(); /* range over */ //mrb_dbl2big(d);
+}
+
+
+/* 15.2.8.3.16 */
+/*
+ * call-seq:
+ * num.eql?(numeric) -> true or false
+ *
+ * Returns <code>true</code> if <i>num</i> and <i>numeric</i> are the
+ * same type and have equal values.
+ *
+ * 1 == 1.0 #=> true
+ * 1.eql?(1.0) #=> false
+ * (1.0).eql?(1.0) #=> true
+ */
+static mrb_value
+num_eql(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+ if (mrb_type(x) != mrb_type(y)) return mrb_false_value();
+ if (mrb_equal(mrb, x, y)) {
+ return mrb_true_value();
+ }
+ else {
+ return mrb_false_value();
+ }
+}
+
+static mrb_value
+num_equal(mrb_state *mrb, mrb_value x, mrb_value y)
+{
+ if (mrb_obj_equal(mrb, x, y)) return mrb_true_value();
+ return mrb_funcall(mrb, y, "==", 1, x);
+}
+
+/* 15.2.9.3.7 */
+/*
+ * call-seq:
+ * flt == obj -> true or false
+ *
+ * Returns <code>true</code> only if <i>obj</i> has the same value
+ * as <i>flt</i>. Contrast this with <code>Float#eql?</code>, which
+ * requires <i>obj</i> to be a <code>Float</code>.
+ *
+ * 1.0 == 1 #=> true
+ *
+ */
+
+static mrb_value
+flo_eq(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ volatile double a, b;
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ b = (double)mrb_fixnum(y);
+ break;
+ case MRB_TT_FLOAT:
+ b = mrb_float(y);
+#if defined(_MSC_VER) && _MSC_VER < 1300
+ if (isnan(b)) return mrb_false_value();
+#endif
+ break;
+ default:
+ return num_equal(mrb, x, y);
+ }
+ a = mrb_float(x);
+#if defined(_MSC_VER) && _MSC_VER < 1300
+ if (isnan(a)) return mrb_false_value();
+#endif
+ return (a == b)?mrb_true_value():mrb_false_value();
+}
+
+/* 15.2.8.3.18 */
+/*
+ * call-seq:
+ * flt.hash -> integer
+ *
+ * Returns a hash code for this float.
+ */
+static mrb_value
+flo_hash(mrb_state *mrb, mrb_value num)
+{
+ double d;
+ char *c;
+ int i, hash;
+
+ d = (double)mrb_fixnum(num);
+ if (d == 0) d = fabs(d);
+ c = (char*)&d;
+ for (hash=0, i=0; i<sizeof(double);i++) {
+ hash = (hash * 971) ^ (unsigned char)c[i];
+ }
+ if (hash < 0) hash = -hash;
+ return mrb_fixnum_value(hash);
+}
+
+mrb_value
+mrb_dbl_cmp(double a, double b)
+{
+ if (isnan(a) || isnan(b)) return mrb_nil_value();
+ if (a == b) return mrb_fixnum_value(0);
+ if (a > b) return mrb_fixnum_value(1);
+ if (a < b) return mrb_fixnum_value(-1);
+ return mrb_nil_value();
+}
+
+/* 15.2.9.3.13 */
+/*
+ * call-seq:
+ * flt.to_f -> self
+ *
+ * As <code>flt</code> is already a float, returns +self+.
+ */
+
+static mrb_value
+flo_to_f(mrb_state *mrb, mrb_value num)
+{
+ return num;
+}
+
+/* 15.2.9.3.11 */
+/*
+ * call-seq:
+ * flt.infinite? -> nil, -1, +1
+ *
+ * Returns <code>nil</code>, -1, or +1 depending on whether <i>flt</i>
+ * is finite, -infinity, or +infinity.
+ *
+ * (0.0).infinite? #=> nil
+ * (-1.0/0.0).infinite? #=> -1
+ * (+1.0/0.0).infinite? #=> 1
+ */
+
+static mrb_value
+flo_is_infinite_p(mrb_state *mrb, mrb_value num)
+{
+ double value = mrb_float(num);
+
+ if (isinf(value)) {
+ return mrb_fixnum_value( value < 0 ? -1 : 1 );
+ }
+
+ return mrb_nil_value();
+}
+
+/* 15.2.9.3.9 */
+/*
+ * call-seq:
+ * flt.finite? -> true or false
+ *
+ * Returns <code>true</code> if <i>flt</i> is a valid IEEE floating
+ * point number (it is not infinite, and <code>nan?</code> is
+ * <code>false</code>).
+ *
+ */
+
+static mrb_value
+flo_is_finite_p(mrb_state *mrb, mrb_value num)
+{
+ double value = mrb_float(num);
+
+#if HAVE_FINITE
+ if (!finite(value))
+ return mrb_false_value();
+#else
+ if (isinf(value) || isnan(value))
+ return mrb_false_value();
+#endif
+
+ return mrb_true_value();
+}
+
+/* 15.2.9.3.10 */
+/*
+ * call-seq:
+ * flt.floor -> integer
+ *
+ * Returns the largest integer less than or equal to <i>flt</i>.
+ *
+ * 1.2.floor #=> 1
+ * 2.0.floor #=> 2
+ * (-1.2).floor #=> -2
+ * (-2.0).floor #=> -2
+ */
+
+static mrb_value
+flo_floor(mrb_state *mrb, mrb_value num)
+{
+ double f = floor(mrb_float(num));
+ long val;
+
+ if (!FIXABLE(f)) {
+ return mrb_dbl2big(mrb, f);
+ }
+ val = (long)f;
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.9.3.8 */
+/*
+ * call-seq:
+ * flt.ceil -> integer
+ *
+ * Returns the smallest <code>Integer</code> greater than or equal to
+ * <i>flt</i>.
+ *
+ * 1.2.ceil #=> 2
+ * 2.0.ceil #=> 2
+ * (-1.2).ceil #=> -1
+ * (-2.0).ceil #=> -2
+ */
+
+static mrb_value
+flo_ceil(mrb_state *mrb, mrb_value num)
+{
+ double f = ceil(mrb_float(num));
+ long val;
+
+ if (!FIXABLE(f)) {
+ return mrb_dbl2big(mrb, f);
+ }
+ val = (long)f;
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.9.3.12 */
+/*
+ * call-seq:
+ * flt.round([ndigits]) -> integer or float
+ *
+ * Rounds <i>flt</i> to a given precision in decimal digits (default 0 digits).
+ * Precision may be negative. Returns a floating point number when ndigits
+ * is more than zero.
+ *
+ * 1.4.round #=> 1
+ * 1.5.round #=> 2
+ * 1.6.round #=> 2
+ * (-1.5).round #=> -2
+ *
+ * 1.234567.round(2) #=> 1.23
+ * 1.234567.round(3) #=> 1.235
+ * 1.234567.round(4) #=> 1.2346
+ * 1.234567.round(5) #=> 1.23457
+ *
+ * 34567.89.round(-5) #=> 0
+ * 34567.89.round(-4) #=> 30000
+ * 34567.89.round(-3) #=> 35000
+ * 34567.89.round(-2) #=> 34600
+ * 34567.89.round(-1) #=> 34570
+ * 34567.89.round(0) #=> 34568
+ * 34567.89.round(1) #=> 34567.9
+ * 34567.89.round(2) #=> 34567.89
+ * 34567.89.round(3) #=> 34567.89
+ *
+ */
+
+static mrb_value
+flo_round(mrb_state *mrb, /*int argc, mrb_value *argv,*/ mrb_value num)
+{
+ mrb_value nd;
+ double number, f;
+ int ndigits = 0, i;
+ long val;
+ mrb_value *argv;
+ int argc;
+
+ mrb_get_args(mrb, "*", &argv, &argc);
+
+ if (argc /*> 0 && mrb_scan_args(argc, argv, "01", &nd) */== 1) {
+ nd = argv[0];
+ ndigits = mrb_fixnum(nd);
+ }
+ number = mrb_float(num);
+ f = 1.0;
+ i = abs(ndigits);
+ while (--i >= 0)
+ f = f*10.0;
+
+ if (isinf(f)) {
+ if (ndigits < 0) number = 0;
+ }
+ else {
+ if (ndigits < 0) number /= f;
+ else number *= f;
+ number = round(number);
+ if (ndigits < 0) number *= f;
+ else number /= f;
+ }
+
+ if (ndigits > 0) return mrb_float_value(number);
+
+ if (!FIXABLE(number)) {
+ return mrb_dbl2big(mrb, number);
+ }
+ val = (long)number;
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.9.3.14 */
+/* 15.2.9.3.15 */
+/*
+ * call-seq:
+ * flt.to_i -> integer
+ * flt.to_int -> integer
+ * flt.truncate -> integer
+ *
+ * Returns <i>flt</i> truncated to an <code>Integer</code>.
+ */
+
+static mrb_value
+flo_truncate(mrb_state *mrb, mrb_value num)
+{
+ double f = mrb_float(num);
+ long val;
+
+ if (f > 0.0) f = floor(f);
+ if (f < 0.0) f = ceil(f);
+
+ if (!FIXABLE(f)) {
+ return mrb_dbl2big(mrb, f);
+ }
+ val = (long)f;
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.8.3.17 */
+/*
+ * call-seq:
+ * num.floor -> integer
+ *
+ * Returns the largest integer less than or equal to <i>num</i>.
+ * <code>Numeric</code> implements this by converting <i>anInteger</i>
+ * to a <code>Float</code> and invoking <code>Float#floor</code>.
+ *
+ * 1.floor #=> 1
+ * (-1).floor #=> -1
+ */
+
+static mrb_value
+num_floor(mrb_state *mrb, mrb_value num)
+{
+ return flo_floor(mrb, mrb_Float(mrb, num));
+}
+
+/* 15.2.8.3.20 */
+/*
+ * call-seq:
+ * num.round([ndigits]) -> integer or float
+ *
+ * Rounds <i>num</i> to a given precision in decimal digits (default 0 digits).
+ * Precision may be negative. Returns a floating point number when ndigits
+ * is more than zero. <code>Numeric</code> implements this by converting itself
+ * to a <code>Float</code> and invoking <code>Float#round</code>.
+ */
+
+static mrb_value
+num_round(mrb_state *mrb, /*int argc, mrb_value* argv,*/ mrb_value num)
+{
+ return flo_round(mrb, /*argc, argv,*/ mrb_Float(mrb, num));
+}
+
+SIGNED_VALUE
+mrb_num2long(mrb_state *mrb, mrb_value val)
+{
+ again:
+ if (mrb_nil_p(val)) {
+ mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil to integer");
+ }
+
+ if (FIXNUM_P(val)) return mrb_fixnum(val);
+
+ switch (mrb_type(val)) {
+ case MRB_TT_FLOAT:
+ if (mrb_float(val) <= (double)LONG_MAX
+ && mrb_float(val) >= (double)LONG_MIN) {
+ return (SIGNED_VALUE)(mrb_float(val));
+ }
+ else {
+ char buf[24];
+ char *s;
+
+ snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
+ if ((s = strchr(buf, ' ')) != 0) *s = '\0';
+ mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of integer", buf);
+ }
+
+ default:
+ val = mrb_to_int(mrb, val);
+ goto again;
+ }
+}
+
+mrb_value
+mrb_num2ulong(mrb_state *mrb, mrb_value val)
+{
+ again:
+ if (mrb_nil_p(val)) {
+ mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil to integer");
+ }
+
+ if (FIXNUM_P(val)) return val; /* this is FIX2LONG, inteneded */
+
+ switch (mrb_type(val)) {
+ case MRB_TT_FLOAT:
+ if (mrb_float(val) <= (double)LONG_MAX
+ && mrb_float(val) >= (double)LONG_MIN) {
+ return mrb_fixnum_value(mrb_float(val));
+ }
+ else {
+ char buf[24];
+ char *s;
+
+ snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
+ if ((s = strchr(buf, ' ')) != 0) *s = '\0';
+ mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of integer", buf);
+ }
+
+ default:
+ val = mrb_to_int(mrb, val);
+ goto again;
+ }
+}
+
+#if SIZEOF_INT < SIZEOF_VALUE
+void
+mrb_out_of_int(mrb_state *mrb, SIGNED_VALUE num)
+{
+ mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " too %s to convert to `int'",
+ num, num < 0 ? "small" : "big");
+}
+
+static void
+check_int(SIGNED_VALUE num)
+{
+ if ((SIGNED_VALUE)(int)num != num) {
+ mrb_out_of_int(num);
+ }
+}
+
+static void
+check_uint(mrb_state *mrb, mrb_value num, mrb_value sign)
+{
+ static const mrb_value mask = ~(mrb_value)UINT_MAX;
+
+ if (RTEST(sign)) {
+ /* minus */
+ if ((num & mask) != mask || (num & ~mask) <= INT_MAX + 1UL)
+ mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " too small to convert to `unsigned int'", num);
+ }
+ else {
+ /* plus */
+ if ((num & mask) != 0)
+ mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIuVALUE " too big to convert to `unsigned int'", num);
+ }
+}
+
+long
+mrb_num2int(mrb_value val)
+{
+ long num = mrb_num2long(mrb, val);
+
+ check_int(num);
+ return num;
+}
+
+long
+mrb_fix2int(mrb_state *mrb, mrb_value val)
+{
+ long num = FIXNUM_P(val)?mrb_fixnum(val):mrb_num2long(mrb, val);
+
+ check_int(num);
+ return num;
+}
+
+unsigned long
+mrb_num2uint(mrb_value val)
+{
+ unsigned long num = mrb_num2ulong(val);
+
+ check_uint(num, mrb_funcall(mrb, val, "<", 1, mrb_fixnum_value(0)));
+ return num;
+}
+
+unsigned long
+mrb_fix2uint(mrb_state *mrb, mrb_value val)
+{
+ unsigned long num;
+
+ if (!FIXNUM_P(val)) {
+ return mrb_num2uint(mrb, val);
+ }
+ num = FIX2ULONG(val);
+
+ check_uint(num, mrb_funcall(mrb, val, "<", 1, mrb_fixnum_value(0)));
+ return num;
+}
+#else
+long
+mrb_num2int(mrb_state *mrb, mrb_value val)
+{
+ return mrb_num2long(mrb, val);
+}
+
+long
+mrb_fix2int(mrb_value val)
+{
+ return mrb_fixnum(val);
+}
+#endif
+
+mrb_value
+mrb_num2fix(mrb_state *mrb, mrb_value val)
+{
+ long v;
+
+ if (FIXNUM_P(val)) return val;
+
+ v = mrb_num2long(mrb, val);
+ if (!FIXABLE(v))
+ mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " out of range of fixnum", v);
+ return mrb_fixnum_value(v);
+}
+
+#if HAVE_LONG_LONG
+
+LONG_LONG
+mrb_num2ll(mrb_state *mrb, mrb_value val)
+{
+ if (mrb_nil_p(val)) {
+ mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil");
+ }
+
+ if (FIXNUM_P(val)) return (LONG_LONG)mrb_fixnum(val);
+
+ switch (mrb_type(val)) {
+ case MRB_TT_FLOAT:
+ if (mrb_float(val) <= (double)LLONG_MAX
+ && mrb_float(val) >= (double)LLONG_MIN) {
+ return (LONG_LONG)(mrb_float(val));
+ }
+ else {
+ char buf[24];
+ char *s;
+
+ snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
+ if ((s = strchr(buf, ' ')) != 0) *s = '\0';
+ mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of long long", buf);
+ }
+
+ case MRB_TT_STRING:
+ mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from string");
+ return mrb_nil_value(); /* not reached */
+
+ case MRB_TT_TRUE:
+ case MRB_TT_FALSE:
+ mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from boolean");
+ return mrb_nil_value(); /* not reached */
+
+ default:
+ val = mrb_to_int(mrb, val);
+ return NUM2LL(val);
+ }
+}
+
+unsigned LONG_LONG
+mrb_num2ull(mrb_state *mrb, mrb_value val)
+{
+ return (unsigned LONG_LONG)mrb_num2ll(mrb, val);
+}
+
+#endif /* HAVE_LONG_LONG */
+
+/*
+ * Document-class: Integer
+ *
+ * <code>Integer</code> is the basis for the two concrete classes that
+ * hold whole numbers, <code>Bignum</code> and <code>Fixnum</code>.
+ *
+ */
+
+
+/* 15.2.8.3.14 */
+/* 15.2.8.3.24 */
+/* 15.2.8.3.26 */
+/*
+ * call-seq:
+ * int.to_i -> integer
+ * int.to_int -> integer
+ * int.floor -> integer
+ * int.ceil -> integer
+ * int.round -> integer
+ * int.truncate -> integer
+ *
+ * As <i>int</i> is already an <code>Integer</code>, all these
+ * methods simply return the receiver.
+ */
+
+static mrb_value
+int_to_i(mrb_state *mrb, mrb_value num)
+{
+ return num;
+}
+
+/* 15.2.8.3.21 */
+/*
+ * call-seq:
+ * fixnum.next -> integer
+ * fixnum.succ -> integer
+ *
+ * Returns the <code>Integer</code> equal to <i>int</i> + 1.
+ *
+ * 1.next #=> 2
+ * (-1).next #=> 0
+ */
+
+static mrb_value
+fix_succ(mrb_state *mrb, mrb_value num)
+{
+ long i = mrb_fixnum(num) + 1;
+ return mrb_fixnum_value(i);
+}
+
+/* 15.2.8.3.19 */
+/*
+ * call-seq:
+ * int.next -> integer
+ * int.succ -> integer
+ *
+ * Returns the <code>Integer</code> equal to <i>int</i> + 1.
+ *
+ * 1.next #=> 2
+ * (-1).next #=> 0
+ */
+static mrb_value
+int_succ(mrb_state *mrb, mrb_value num)
+{
+ if (FIXNUM_P(num)) {
+ long i = mrb_fixnum(num) + 1;
+ return mrb_fixnum_value(i);
+ }
+ return mrb_funcall(mrb, num, "+", 1, mrb_fixnum_value(1));
+}
+
+mrb_value
+rb_fix2str(mrb_state *mrb, mrb_value x, int base)
+{
+ extern const char ruby_digitmap[];
+ char buf[SIZEOF_VALUE*CHAR_BIT + 2], *b = buf + sizeof buf;
+ long val = mrb_fixnum(x);
+ int neg = 0;
+
+ if (base < 2 || 36 < base) {
+ mrb_raise(mrb, E_ARGUMENT_ERROR, "invalid radix %d", base);
+ }
+ if (val == 0) {
+ return mrb_usascii_str_new2(mrb, "0");
+ }
+ if (val < 0) {
+ val = -val;
+ neg = 1;
+ }
+ *--b = '\0';
+ do {
+ *--b = ruby_digitmap[(int)(val % base)];
+ } while (val /= base);
+ if (neg) {
+ *--b = '-';
+ }
+
+ return mrb_usascii_str_new2(mrb, b);
+}
+
+#define SQRT_LONG_MAX ((SIGNED_VALUE)1<<((SIZEOF_LONG*CHAR_BIT-1)/2))
+/*tests if N*N would overflow*/
+#define FIT_SQRT_LONG(n) (((n)<SQRT_LONG_MAX)&&((n)>=-SQRT_LONG_MAX))
+
+/* 15.2.8.3.3 */
+/*
+ * call-seq:
+ * fix * numeric -> numeric_result
+ *
+ * Performs multiplication: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+
+static mrb_value
+fix_mul(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ if (FIXNUM_P(y)) {
+#ifdef __HP_cc
+/* avoids an optimization bug of HP aC++/ANSI C B3910B A.06.05 [Jul 25 2005] */
+ volatile
+#endif
+ long a, b;
+#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
+ LONG_LONG d;
+#else
+ long c;
+ mrb_value r;
+#endif
+
+ a = mrb_fixnum(x);
+ b = mrb_fixnum(y);
+
+#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
+ d = (LONG_LONG)a * b;
+ if (FIXABLE(d)) return mrb_fixnum_value(d);
+ return mrb_nil_value();// rb_ll2inum(d);
+#else
+ if (FIT_SQRT_LONG(a) && FIT_SQRT_LONG(b))
+ return mrb_fixnum_value(a*b);
+ c = a * b;
+ r = mrb_fixnum_value(c);
+
+ if (a == 0) return x;
+ if (mrb_fixnum(r) != c || c/a != b) {
+ //r = mrb_big_mul(mrb_int2big(a), mrb_int2big(b));
+ r = mrb_fixnum_value(a*b);
+ }
+ return r;
+#endif
+ }
+ switch (mrb_type(y)) {
+ case MRB_TT_FLOAT:
+ return mrb_float_value((double)mrb_fixnum(x) * mrb_float(y));
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "*");
+ }
+}
+
+static void
+fixdivmod(mrb_state *mrb, long x, long y, long *divp, long *modp)
+{
+ long div, mod;
+
+ if (y == 0) mrb_num_zerodiv(mrb);
+ if (y < 0) {
+ if (x < 0)
+ div = -x / -y;
+ else
+ div = - (x / -y);
+ }
+ else {
+ if (x < 0)
+ div = - (-x / y);
+ else
+ div = x / y;
+ }
+ mod = x - div*y;
+ if ((mod < 0 && y > 0) || (mod > 0 && y < 0)) {
+ mod += y;
+ div -= 1;
+ }
+ if (divp) *divp = div;
+ if (modp) *modp = mod;
+}
+
+mrb_value rb_big_fdiv(mrb_value x, mrb_value y);
+
+//mrb_value mrb_rational_reciprocal(mrb_value x);
+
+static mrb_value
+fix_divide(mrb_state *mrb, mrb_value x, mrb_value y, char* op)
+{
+ if (FIXNUM_P(y)) {
+ long div;
+
+ fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, 0);
+ return mrb_fixnum_value(div);
+ }
+ switch (mrb_type(y)) {
+ case MRB_TT_FLOAT:
+ {
+ double div;
+
+ if (*op == '/') {
+ div = (double)mrb_fixnum(x) / mrb_float(y);
+ return mrb_float_value(div);
+ }
+ else {
+ if (mrb_float(y) == 0) mrb_num_zerodiv(mrb);
+ div = (double)mrb_fixnum(x) / mrb_float(y);
+ return mrb_dbl2big(mrb, floor(div));
+ }
+ }
+ //case MRB_TT_RATIONAL:
+ // if (op == '/' && mrb_fixnum(x) == 1)
+ // return mrb_rational_reciprocal(y);
+ /* fall through */
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, op);
+ }
+}
+
+/* 15.2.8.3.4 */
+/*
+ * call-seq:
+ * fix / numeric -> numeric_result
+ *
+ * Performs division: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+
+static mrb_value
+fix_div(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ return fix_divide(mrb, x, y, "/");
+}
+
+/* 15.2.8.3.5 */
+/*
+ * call-seq:
+ * fix % other -> real
+ * fix.modulo(other) -> real
+ *
+ * Returns <code>fix</code> modulo <code>other</code>.
+ * See <code>numeric.divmod</code> for more information.
+ */
+
+static mrb_value
+fix_mod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ if (FIXNUM_P(y)) {
+ long mod;
+
+ fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), 0, &mod);
+ return mrb_fixnum_value(mod);
+ }
+ switch (mrb_type(y)) {
+ case MRB_TT_FLOAT:
+ {
+ double mod;
+
+ flodivmod(mrb, (double)mrb_fixnum(x), mrb_float(y), 0, &mod);
+ return mrb_float_value(mod);
+ }
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "%");
+ }
+}
+
+/*
+ * call-seq:
+ * fix.divmod(numeric) -> array
+ *
+ * See <code>Numeric#divmod</code>.
+ */
+static mrb_value
+fix_divmod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ if (FIXNUM_P(y)) {
+ long div, mod;
+
+ fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, &mod);
+
+ return mrb_assoc_new(mrb, mrb_fixnum_value(div), mrb_fixnum_value(mod));
+ }
+ switch (mrb_type(y)) {
+ case MRB_TT_FLOAT:
+ {
+ double div, mod;
+ volatile mrb_value a, b;
+
+ flodivmod(mrb, (double)mrb_fixnum(x), mrb_float(y), &div, &mod);
+ a = dbl2ival(div);
+ b = mrb_float_value(mod);
+ return mrb_assoc_new(mrb, a, b);
+ }
+ default:
+ return mrb_num_coerce_bin(mrb, x, y, "divmod");
+ }
+}
+
+/* 15.2.8.3.7 */
+/*
+ * call-seq:
+ * fix == other -> true or false
+ *
+ * Return <code>true</code> if <code>fix</code> equals <code>other</code>
+ * numerically.
+ *
+ * 1 == 2 #=> false
+ * 1 == 1.0 #=> true
+ */
+
+static mrb_value
+fix_equal(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ if (mrb_obj_equal(mrb, x, y)) return mrb_true_value();
+ if (FIXNUM_P(y)) return mrb_false_value();
+ switch (mrb_type(y)) {
+ case MRB_TT_FLOAT:
+ return (double)mrb_fixnum(x) == mrb_float(y) ? mrb_true_value() : mrb_false_value();
+ default:
+ return num_equal(mrb, x, y);
+ }
+}
+
+/* 15.2.8.3.8 */
+/*
+ * call-seq:
+ * ~fix -> integer
+ *
+ * One's complement: returns a number where each bit is flipped.
+ * ex.0---00001 (1)-> 1---11110 (-2)
+ * ex.0---00010 (2)-> 1---11101 (-3)
+ * ex.0---00100 (4)-> 1---11011 (-5)
+ */
+
+static mrb_value
+fix_rev(mrb_state *mrb, mrb_value num)
+{
+ long val = mrb_fixnum(num);
+
+ val = ~val;
+ return mrb_fixnum_value(val);
+}
+
+static mrb_value
+bit_coerce(mrb_state *mrb, mrb_value x)
+{
+ while (!FIXNUM_P(x)) {
+ if (mrb_type(x) == MRB_TT_FLOAT) {
+ mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
+ }
+ x = mrb_to_int(mrb, x);
+ }
+ return x;
+}
+
+/* 15.2.8.3.9 */
+/*
+ * call-seq:
+ * fix & integer -> integer_result
+ *
+ * Bitwise AND.
+ */
+
+static mrb_value
+fix_and(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long val;
+ mrb_get_args(mrb, "o", &y);
+
+ //if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
+ // return mrb_big_and(y, x);
+ //}
+ if (mrb_type(y) == MRB_TT_FLOAT) {
+ mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
+ }
+ y = bit_coerce(mrb, y);
+ val = mrb_fixnum(x) & mrb_fixnum(y);
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.8.3.10 */
+/*
+ * call-seq:
+ * fix | integer -> integer_result
+ *
+ * Bitwise OR.
+ */
+
+static mrb_value
+fix_or(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long val;
+ mrb_get_args(mrb, "o", &y);
+
+ //if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
+ // return mrb_big_or(y, x);
+ //}
+ if (mrb_type(y) == MRB_TT_FLOAT) {
+ mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
+ }
+ y = bit_coerce(mrb, y);
+ val = mrb_fixnum(x) | mrb_fixnum(y);
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.8.3.11 */
+/*
+ * call-seq:
+ * fix ^ integer -> integer_result
+ *
+ * Bitwise EXCLUSIVE OR.
+ */
+
+static mrb_value
+fix_xor(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long val;
+ mrb_get_args(mrb, "o", &y);
+
+ //if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
+ // return mrb_big_xor(y, x);
+ //}
+ if (mrb_type(y) == MRB_TT_FLOAT) {
+ mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
+ }
+ y = bit_coerce(mrb, y);
+ val = mrb_fixnum(x) ^ mrb_fixnum(y);
+ return mrb_fixnum_value(val);
+}
+
+static mrb_value fix_lshift(mrb_state *mrb, long, unsigned long);
+static mrb_value fix_rshift(long, unsigned long);
+
+/* 15.2.8.3.12 */
+/*
+ * call-seq:
+ * fix << count -> integer
+ *
+ * Shifts _fix_ left _count_ positions (right if _count_ is negative).
+ */
+
+static mrb_value
+mrb_fix_lshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long val, width;
+ mrb_get_args(mrb, "o", &y);
+
+ val = mrb_fixnum(x);
+ //if (!FIXNUM_P(y))
+ // return mrb_big_lshift(mrb_int2big(val), y);
+ if (mrb_type(y) == MRB_TT_FLOAT) {
+ mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
+ }
+ width = mrb_fixnum(y);
+ if (width < 0)
+ return fix_rshift(val, (unsigned long)-width);
+ return fix_lshift(mrb, val, width);
+}
+
+static mrb_value
+fix_lshift(mrb_state *mrb, long val, unsigned long width)
+{
+ if (width > (SIZEOF_LONG*CHAR_BIT-1)
+ || ((unsigned long)abs(val))>>(SIZEOF_LONG*CHAR_BIT-1-width) > 0) {
+ mrb_raise(mrb, E_RANGE_ERROR, "width(%d) > (SIZEOF_LONG*CHAR_BIT-1)", width);
+ }
+ val = val << width;
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.8.3.13 */
+/*
+ * call-seq:
+ * fix >> count -> integer
+ *
+ * Shifts _fix_ right _count_ positions (left if _count_ is negative).
+ */
+
+static mrb_value
+mrb_fix_rshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ long i, val;
+ mrb_get_args(mrb, "o", &y);
+
+ val = mrb_fixnum(x);
+ //if (!FIXNUM_P(y))
+ // return mrb_big_rshift(mrb_int2big(val), y);
+ i = mrb_fixnum(y);
+ if (i == 0) return x;
+ if (i < 0)
+ return fix_lshift(mrb, val, (unsigned long)-i);
+ return fix_rshift(val, i);
+}
+
+static mrb_value
+fix_rshift(long val, unsigned long i)
+{
+ if (i >= sizeof(long)*CHAR_BIT-1) {
+ if (val < 0) return mrb_fixnum_value(-1);
+ return mrb_fixnum_value(0);
+ }
+ val = RSHIFT(val, i);
+ return mrb_fixnum_value(val);
+}
+
+/* 15.2.8.3.23 */
+/*
+ * call-seq:
+ * fix.to_f -> float
+ *
+ * Converts <i>fix</i> to a <code>Float</code>.
+ *
+ */
+
+static mrb_value
+fix_to_f(mrb_state *mrb, mrb_value num)
+{
+ double val;
+
+ val = (double)mrb_fixnum(num);
+
+ return mrb_float_value(val);
+}
+
+/*
+ * Document-class: ZeroDivisionError
+ *
+ * Raised when attempting to divide an integer by 0.
+ *
+ * 42 / 0
+ *
+ * <em>raises the exception:</em>
+ *
+ * ZeroDivisionError: divided by 0
+ *
+ * Note that only division by an exact 0 will raise that exception:
+ *
+ * 42 / 0.0 #=> Float::INFINITY
+ * 42 / -0.0 #=> -Float::INFINITY
+ * 0 / 0.0 #=> NaN
+ */
+
+/*
+ * Document-class: FloatDomainError
+ *
+ * Raised when attempting to convert special float values
+ * (in particular infinite or NaN)
+ * to numerical classes which don't support them.
+ *
+ * Float::INFINITY.to_r
+ *
+ * <em>raises the exception:</em>
+ *
+ * FloatDomainError: Infinity
+ */
+/* ------------------------------------------------------------------------*/
+static mrb_int
+dbl2big(mrb_state *mrb, float d)
+{
+ //long i = 0;
+ //BDIGIT c;
+ //BDIGIT *digits;
+ mrb_int z;
+ //double u = (d < 0)?-d:d;
+
+ if (isinf(d)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, d < 0 ? "-Infinity" : "Infinity");
+ }
+ if (isnan(d)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
+ }
+ z = (mrb_int)d;
+ return z;
+}
+
+mrb_value
+mrb_dbl2big(mrb_state *mrb, float d)
+{
+ return mrb_fixnum_value(dbl2big(mrb, d));//bignorm(dbl2big(d));
+}
+
+/* 15.2.8.3.1 */
+/*
+ * call-seq:
+ * fix + numeric -> numeric_result
+ *
+ * Performs addition: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+static mrb_value
+mrb_fixnum_plus(mrb_state *mrb, mrb_value self)
+{
+ mrb_int x, y;
+
+ x = mrb_fixnum(self);
+ mrb_get_args(mrb, "i", &y);
+
+ DEBUG(printf("%d + %d = %d\n", x, y, x+y));
+ return mrb_fixnum_value(x + y);
+}
+
+/* 15.2.8.3.2 */
+/* 15.2.8.3.16 */
+/*
+ * call-seq:
+ * fix - numeric -> numeric_result
+ *
+ * Performs subtraction: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+static mrb_value
+mrb_fixnum_minus(mrb_state *mrb, mrb_value self)
+{
+ mrb_int x, y;
+
+ x = mrb_fixnum(self);
+ mrb_get_args(mrb, "i", &y);
+
+ DEBUG(printf("%d - %d = %d\n", x, y, x-y));
+ return mrb_fixnum_value(x - y);
+}
+
+/* 15.2.8.3.6 */
+/*
+ * call-seq:
+ * self.i <=> other.i => -1, 0, +1
+ * < => -1
+ * = => 0
+ * > => +1
+ * Comparison---Returns -1, 0, or +1 depending on whether <i>fix</i> is
+ * less than, equal to, or greater than <i>numeric</i>. This is the
+ * basis for the tests in <code>Comparable</code>.
+ */
+static mrb_value
+mrb_fixnum_cmp(mrb_state *mrb, mrb_value self)
+{
+ mrb_int x, y;
+ mrb_value vy;
+
+ mrb_get_args(mrb, "o", &vy);
+ if (FIXNUM_P(vy)) {
+ x = mrb_fixnum(self);
+ y = mrb_fixnum(vy);
+ DEBUG(printf("%d <=> %d\n", x, y));
+ if (x > y)
+ return mrb_fixnum_value(1);
+ else if (x < y)
+ return mrb_fixnum_value(-1);
+ else
+ return mrb_fixnum_value(0);
+ }
+ else {
+ return mrb_num_coerce_cmp(mrb, self, vy, "<=>");
+ }
+
+}
+
+/* 15.2.8.3.29 (x) */
+/*
+ * call-seq:
+ * fix > other => true or false
+ *
+ * Returns <code>true</code> if the value of <code>fix</code> is
+ * greater than that of <code>other</code>.
+ */
+
+mrb_value
+mrb_fix2str(mrb_state *mrb, mrb_value x, int base)
+{
+ char buf[64], *b = buf + sizeof buf;
+ long val = mrb_fixnum(x);
+ int neg = 0;
+
+ if (base < 2 || 36 < base) {
+ mrb_raise(mrb, E_ARGUMENT_ERROR, "invalid radix %d", base);
+ }
+ if (val == 0) {
+ return mrb_str_new2(mrb, "0");
+ }
+ if (val < 0) {
+ val = -val;
+ neg = 1;
+ }
+ *--b = '\0';
+ do {
+ *--b = ruby_digitmap[(int)(val % base)];
+ } while (val /= base);
+ if (neg) {
+ *--b = '-';
+ }
+
+ return mrb_str_new2(mrb, b);
+}
+
+mrb_value
+mrb_fix_to_s(mrb_state *mrb, mrb_value self, int argc, mrb_value *argv)
+{
+ int base;
+
+ if (argc == 0) base = 10;
+ else {
+ //mrb_value b;
+
+ //mrb_scan_args(argc, argv, "01", &b);
+ base = mrb_fixnum(argv[0]);
+ }
+
+ return mrb_fix2str(mrb, self, base);
+}
+
+/* 15.2.8.3.25 */
+/*
+ * call-seq:
+ * fix.to_s(base=10) -> string
+ *
+ * Returns a string containing the representation of <i>fix</i> radix
+ * <i>base</i> (between 2 and 36).
+ *
+ * 12345.to_s #=> "12345"
+ * 12345.to_s(2) #=> "11000000111001"
+ * 12345.to_s(8) #=> "30071"
+ * 12345.to_s(10) #=> "12345"
+ * 12345.to_s(16) #=> "3039"
+ * 12345.to_s(36) #=> "9ix"
+ *
+ */
+static mrb_value
+mrb_fixnum_to_s(mrb_state *mrb, mrb_value self) /* fix_to_s */
+{
+ mrb_value *argv;
+ int argc;
+
+ mrb_get_args(mrb, "*", &argv, &argc);
+ return mrb_fix_to_s(mrb, self, argc, argv);
+}
+
+/* 15.2.9.3.6 */
+/*
+ * call-seq:
+ * self.f <=> other.f => -1, 0, +1
+ * < => -1
+ * = => 0
+ * > => +1
+ * Comparison---Returns -1, 0, or +1 depending on whether <i>fix</i> is
+ * less than, equal to, or greater than <i>numeric</i>. This is the
+ * basis for the tests in <code>Comparable</code>.
+ */
+static mrb_value
+mrb_float_cmp(mrb_state *mrb, mrb_value self)
+{
+ mrb_value vy;
+ mrb_float x, y;
+
+ x = mrb_float(self);
+ mrb_get_args(mrb, "o", &vy);
+ if (FIXNUM_P(vy)) {
+ y = (mrb_float)mrb_fixnum(vy);
+ }
+ else {
+ y = mrb_float(vy);
+ }
+
+ DEBUG(printf("%f <=> %f\n", x, y));
+ if (x > y)
+ return mrb_fixnum_value(1);
+ else {
+ if (x < y)
+ return mrb_fixnum_value(-1);
+ return mrb_fixnum_value(0);
+ }
+}
+
+/* 15.2.9.3.1 */
+/*
+ * call-seq:
+ * float + other -> float
+ *
+ * Returns a new float which is the sum of <code>float</code>
+ * and <code>other</code>.
+ */
+static mrb_value
+mrb_float_plus(mrb_state *mrb, mrb_value self)
+{
+ mrb_float x, y;
+
+ x = mrb_float(self);
+ mrb_get_args(mrb, "f", &y);
+
+ return mrb_float_value(x + y);
+}
+/* ------------------------------------------------------------------------*/
+void
+mrb_init_numeric(mrb_state *mrb)
+{
+ struct RClass *numeric, *integer, *fixnum, *fl;
+ /* Numeric Class */
+ numeric = mrb_define_class(mrb, "Numeric", mrb->object_class);
+ mrb_include_module(mrb, numeric, mrb_class_get(mrb, "Comparable"));
+
+ mrb_define_method(mrb, numeric, "+@", num_uplus, ARGS_REQ(1)); /* 15.2.7.4.1 */
+ mrb_define_method(mrb, numeric, "-@", num_uminus, ARGS_REQ(1)); /* 15.2.7.4.2 */
+ mrb_define_method(mrb, numeric, "abs", num_abs, ARGS_NONE()); /* 15.2.7.4.3 */
+ mrb_define_method(mrb, numeric, "coerce", num_coerce, ARGS_REQ(1)); /* 15.2.7.4.4 */
+ mrb_define_method(mrb, numeric, "quo", num_quo, ARGS_REQ(1)); /* 15.2.7.4.5 (x) */
+
+ /* Integer Class */
+ integer = mrb_define_class(mrb, "Integer", numeric);
+ fixnum = mrb->fixnum_class = mrb_define_class(mrb, "Fixnum", integer);
+
+ mrb_define_method(mrb, fixnum, "+", mrb_fixnum_plus, ARGS_REQ(1)); /* 15.2.8.3.1 */
+ mrb_define_method(mrb, fixnum, "-", mrb_fixnum_minus, ARGS_REQ(1)); /* 15.2.8.3.2 */
+ mrb_define_method(mrb, fixnum, "*", fix_mul, ARGS_REQ(1)); /* 15.2.8.3.3 */
+ mrb_define_method(mrb, fixnum, "/", fix_div, ARGS_REQ(1)); /* 15.2.8.3.4 */
+ mrb_define_method(mrb, fixnum, "%", fix_mod, ARGS_REQ(1)); /* 15.2.8.3.5 */
+ mrb_define_method(mrb, fixnum, "<=>", mrb_fixnum_cmp, ARGS_REQ(1)); /* 15.2.8.3.6 */
+ mrb_define_method(mrb, fixnum, "==", fix_equal, ARGS_REQ(1)); /* 15.2.8.3.7 */
+ mrb_define_method(mrb, fixnum, "~", fix_rev, ARGS_NONE()); /* 15.2.8.3.8 */
+ mrb_define_method(mrb, fixnum, "&", fix_and, ARGS_REQ(1)); /* 15.2.8.3.9 */
+ mrb_define_method(mrb, fixnum, "|", fix_or, ARGS_REQ(1)); /* 15.2.8.3.10 */
+ mrb_define_method(mrb, fixnum, "^", fix_xor, ARGS_REQ(1)); /* 15.2.8.3.11 */
+ mrb_define_method(mrb, fixnum, "<<", mrb_fix_lshift, ARGS_REQ(1)); /* 15.2.8.3.12 */
+ mrb_define_method(mrb, fixnum, ">>", mrb_fix_rshift, ARGS_REQ(1)); /* 15.2.8.3.13 */
+ mrb_define_method(mrb, fixnum, "ceil", int_to_i, ARGS_NONE()); /* 15.2.8.3.14 */
+ mrb_define_method(mrb, fixnum, "eql?", num_eql, ARGS_REQ(1)); /* 15.2.8.3.16 */
+ mrb_define_method(mrb, fixnum, "floor", num_floor, ARGS_NONE()); /* 15.2.8.3.17 */
+ mrb_define_method(mrb, fixnum, "hash", flo_hash, ARGS_NONE()); /* 15.2.8.3.18 */
+ mrb_define_method(mrb, fixnum, "next", int_succ, ARGS_NONE()); /* 15.2.8.3.19 */
+ mrb_define_method(mrb, fixnum, "round", num_round, ARGS_ANY()); /* 15.2.8.3.20 */
+ mrb_define_method(mrb, fixnum, "succ", fix_succ, ARGS_NONE()); /* 15.2.8.3.21 */
+ mrb_define_method(mrb, fixnum, "to_f", fix_to_f, ARGS_NONE()); /* 15.2.8.3.23 */
+ mrb_define_method(mrb, fixnum, "to_i", int_to_i, ARGS_NONE()); /* 15.2.8.3.24 */
+ mrb_define_method(mrb, fixnum, "to_s", mrb_fixnum_to_s, ARGS_NONE()); /* 15.2.8.3.25 */
+ mrb_define_method(mrb, fixnum, "truncate", int_to_i, ARGS_NONE()); /* 15.2.8.3.26 */
+ //mrb_define_method(mrb, fixnum, "<", mrb_fixnum_lt, ARGS_REQ(1)); /* 15.2.8.3.28 (x) */
+ //mrb_define_method(mrb, fixnum, ">", mrb_fixnum_gt, ARGS_REQ(1)); /* 15.2.8.3.29 (x) */
+ mrb_define_method(mrb, fixnum, "divmod", fix_divmod, ARGS_REQ(1)); /* 15.2.8.3.30 (x) */
+
+ /* Float Class */
+ fl = mrb->float_class = mrb_define_class(mrb, "Float", numeric);
+ mrb_define_method(mrb, fl, "+", mrb_float_plus, ARGS_REQ(1)); /* 15.2.9.3.1 */
+ mrb_define_method(mrb, fl, "-", flo_minus, ARGS_REQ(1)); /* 15.2.9.3.2 */
+ mrb_define_method(mrb, fl, "*", flo_mul, ARGS_REQ(1)); /* 15.2.9.3.3 */
+ mrb_define_method(mrb, fl, "/", flo_div, ARGS_REQ(1)); /* 15.2.9.3.4 */
+ mrb_define_method(mrb, fl, "%", flo_mod, ARGS_REQ(1)); /* 15.2.9.3.5 */
+ mrb_define_method(mrb, fl, "<=>", mrb_float_cmp, ARGS_REQ(1)); /* 15.2.9.3.6 */
+ mrb_define_method(mrb, fl, "==", flo_eq, ARGS_REQ(1)); /* 15.2.9.3.7 */
+ mrb_define_method(mrb, fl, "ceil", flo_ceil, ARGS_NONE()); /* 15.2.9.3.8 */
+ mrb_define_method(mrb, fl, "finite?", flo_is_finite_p, ARGS_NONE()); /* 15.2.9.3.9 */
+ mrb_define_method(mrb, fl, "floor", flo_floor, ARGS_NONE()); /* 15.2.9.3.10 */
+ mrb_define_method(mrb, fl, "infinite?", flo_is_infinite_p,ARGS_NONE()); /* 15.2.9.3.11 */
+ mrb_define_method(mrb, fl, "round", flo_round, ARGS_ANY()); /* 15.2.9.3.12 */
+ mrb_define_method(mrb, fl, "to_f", flo_to_f, ARGS_NONE()); /* 15.2.9.3.13 */
+ mrb_define_method(mrb, fl, "to_i", flo_truncate, ARGS_NONE()); /* 15.2.9.3.14 */
+ mrb_define_method(mrb, fl, "truncate", flo_truncate, ARGS_NONE()); /* 15.2.9.3.15 */
+
+ mrb_define_method(mrb, fl, "to_s", flo_to_s, ARGS_NONE()); /* 15.2.9.3.16(x) */
+ //mrb_define_method(mrb, fl, "<", flo_lt, ARGS_REQ(1)); /* 15.2.9.3.17(x) */
+ //mrb_define_method(mrb, fl, ">", flo_gt, ARGS_REQ(1)); /* 15.2.9.3.18(x) */
+ mrb_define_method(mrb, fl, "quo", flo_quo, ARGS_REQ(1)); /* 15.2.9.3.19(x) */
+}