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numeric.c
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numeric.c
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/**********************************************************************
numeric.c -
$Author$
created at: Fri Aug 13 18:33:09 JST 1993
Copyright (C) 1993-2007 Yukihiro Matsumoto
**********************************************************************/
#include "ruby/ruby.h"
#include "ruby/encoding.h"
#include "ruby/util.h"
#include "internal.h"
#include "id.h"
#include <ctype.h>
#include <math.h>
#include <stdio.h>
#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
/* 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
#ifdef HAVE_INFINITY
#elif !defined(WORDS_BIGENDIAN) /* BYTE_ORDER == LITTLE_ENDIAN */
const union bytesequence4_or_float rb_infinity = {{0x00, 0x00, 0x80, 0x7f}};
#else
const union bytesequence4_or_float rb_infinity = {{0x7f, 0x80, 0x00, 0x00}};
#endif
#ifdef HAVE_NAN
#elif !defined(WORDS_BIGENDIAN) /* BYTE_ORDER == LITTLE_ENDIAN */
const union bytesequence4_or_float rb_nan = {{0x00, 0x00, 0xc0, 0x7f}};
#else
const union bytesequence4_or_float rb_nan = {{0x7f, 0xc0, 0x00, 0x00}};
#endif
#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
static VALUE fix_uminus(VALUE num);
static VALUE fix_mul(VALUE x, VALUE y);
static VALUE int_pow(long x, unsigned long y);
static ID id_coerce, id_to_i, id_eq, id_div;
VALUE rb_cNumeric;
VALUE rb_cFloat;
VALUE rb_cInteger;
VALUE rb_cFixnum;
VALUE rb_eZeroDivError;
VALUE rb_eFloatDomainError;
void
rb_num_zerodiv(void)
{
rb_raise(rb_eZeroDivError, "divided by 0");
}
/* experimental API */
int
rb_num_to_uint(VALUE val, unsigned int *ret)
{
#define NUMERR_TYPE 1
#define NUMERR_NEGATIVE 2
#define NUMERR_TOOLARGE 3
if (FIXNUM_P(val)) {
long v = FIX2LONG(val);
#if SIZEOF_INT < SIZEOF_LONG
if (v > (long)UINT_MAX) return NUMERR_TOOLARGE;
#endif
if (v < 0) return NUMERR_NEGATIVE;
*ret = (unsigned int)v;
return 0;
}
switch (TYPE(val)) {
case T_BIGNUM:
if (RBIGNUM_NEGATIVE_P(val)) return NUMERR_NEGATIVE;
#if SIZEOF_INT < SIZEOF_LONG
/* long is 64bit */
return NUMERR_TOOLARGE;
#else
/* long is 32bit */
#define DIGSPERLONG (SIZEOF_LONG/SIZEOF_BDIGITS)
if (RBIGNUM_LEN(val) > DIGSPERLONG) return NUMERR_TOOLARGE;
*ret = (unsigned int)rb_big2ulong((VALUE)val);
return 0;
#endif
}
return NUMERR_TYPE;
}
#define method_basic_p(klass) rb_method_basic_definition_p(klass, mid)
static inline int
positive_int_p(VALUE num)
{
const ID mid = '>';
if (FIXNUM_P(num)) {
if (method_basic_p(rb_cFixnum))
return (SIGNED_VALUE)num > 0;
}
else if (RB_TYPE_P(num, T_BIGNUM)) {
if (method_basic_p(rb_cBignum))
return RBIGNUM_POSITIVE_P(num);
}
return RTEST(rb_funcall(num, mid, 1, INT2FIX(0)));
}
static inline int
negative_int_p(VALUE num)
{
const ID mid = '<';
if (FIXNUM_P(num)) {
if (method_basic_p(rb_cFixnum))
return (SIGNED_VALUE)num < 0;
}
else if (RB_TYPE_P(num, T_BIGNUM)) {
if (method_basic_p(rb_cBignum))
return RBIGNUM_NEGATIVE_P(num);
}
return RTEST(rb_funcall(num, mid, 1, INT2FIX(0)));
}
int
rb_num_negative_p(VALUE num)
{
return negative_int_p(num);
}
/*
* 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 VALUE
num_coerce(VALUE x, VALUE y)
{
if (CLASS_OF(x) == CLASS_OF(y))
return rb_assoc_new(y, x);
x = rb_Float(x);
y = rb_Float(y);
return rb_assoc_new(y, x);
}
static VALUE
coerce_body(VALUE *x)
{
return rb_funcall(x[1], id_coerce, 1, x[0]);
}
static VALUE
coerce_rescue(VALUE *x)
{
volatile VALUE v = rb_inspect(x[1]);
rb_raise(rb_eTypeError, "%s can't be coerced into %s",
rb_special_const_p(x[1])?
RSTRING_PTR(v):
rb_obj_classname(x[1]),
rb_obj_classname(x[0]));
return Qnil; /* dummy */
}
static int
do_coerce(VALUE *x, VALUE *y, int err)
{
VALUE ary;
VALUE a[2];
a[0] = *x; a[1] = *y;
if (!rb_respond_to(*y, id_coerce)) {
if (err) {
coerce_rescue(a);
}
return FALSE;
}
ary = rb_rescue(coerce_body, (VALUE)a, err ? coerce_rescue : 0, (VALUE)a);
if (!RB_TYPE_P(ary, T_ARRAY) || RARRAY_LEN(ary) != 2) {
if (err) {
rb_raise(rb_eTypeError, "coerce must return [x, y]");
}
return FALSE;
}
*x = RARRAY_PTR(ary)[0];
*y = RARRAY_PTR(ary)[1];
return TRUE;
}
VALUE
rb_num_coerce_bin(VALUE x, VALUE y, ID func)
{
do_coerce(&x, &y, TRUE);
return rb_funcall(x, func, 1, y);
}
VALUE
rb_num_coerce_cmp(VALUE x, VALUE y, ID func)
{
if (do_coerce(&x, &y, FALSE))
return rb_funcall(x, func, 1, y);
return Qnil;
}
VALUE
rb_num_coerce_relop(VALUE x, VALUE y, ID func)
{
VALUE c, x0 = x, y0 = y;
if (!do_coerce(&x, &y, FALSE) ||
NIL_P(c = rb_funcall(x, func, 1, y))) {
rb_cmperr(x0, y0);
return Qnil; /* not reached */
}
return c;
}
/*
* Trap attempts to add methods to <code>Numeric</code> objects. Always
* raises a <code>TypeError</code>
*/
static VALUE
num_sadded(VALUE x, VALUE name)
{
ID mid = rb_to_id(name);
/* ruby_frame = ruby_frame->prev; */ /* pop frame for "singleton_method_added" */
/* Numerics should be values; singleton_methods should not be added to them */
rb_remove_method_id(rb_singleton_class(x), mid);
rb_raise(rb_eTypeError,
"can't define singleton method \"%s\" for %s",
rb_id2name(mid),
rb_obj_classname(x));
UNREACHABLE;
}
/* :nodoc: */
static VALUE
num_init_copy(VALUE x, VALUE y)
{
/* Numerics are immutable values, which should not be copied */
rb_raise(rb_eTypeError, "can't copy %s", rb_obj_classname(x));
UNREACHABLE;
}
/*
* call-seq:
* +num -> num
*
* Unary Plus---Returns the receiver's value.
*/
static VALUE
num_uplus(VALUE num)
{
return num;
}
/*
* call-seq:
* num.i -> Complex(0,num)
*
* Returns the corresponding imaginary number.
* Not available for complex numbers.
*/
static VALUE
num_imaginary(VALUE num)
{
return rb_complex_new(INT2FIX(0), num);
}
/*
* call-seq:
* -num -> numeric
*
* Unary Minus---Returns the receiver's value, negated.
*/
static VALUE
num_uminus(VALUE num)
{
VALUE zero;
zero = INT2FIX(0);
do_coerce(&zero, &num, TRUE);
return rb_funcall(zero, '-', 1, num);
}
/*
* call-seq:
* num.quo(numeric) -> real
*
* Returns most exact division (rational for integers, float for floats).
*/
static VALUE
num_quo(VALUE x, VALUE y)
{
return rb_funcall(rb_rational_raw1(x), '/', 1, y);
}
/*
* call-seq:
* num.fdiv(numeric) -> float
*
* Returns float division.
*/
static VALUE
num_fdiv(VALUE x, VALUE y)
{
return rb_funcall(rb_Float(x), '/', 1, y);
}
/*
* call-seq:
* num.div(numeric) -> integer
*
* Uses <code>/</code> to perform division, then converts the result to
* an integer. <code>numeric</code> does not define the <code>/</code>
* operator; this is left to subclasses.
*
* Equivalent to
* <i>num</i>.<code>divmod(</code><i>aNumeric</i><code>)[0]</code>.
*
* See <code>Numeric#divmod</code>.
*/
static VALUE
num_div(VALUE x, VALUE y)
{
if (rb_equal(INT2FIX(0), y)) rb_num_zerodiv();
return rb_funcall(rb_funcall(x, '/', 1, y), rb_intern("floor"), 0);
}
/*
* call-seq:
* num.modulo(numeric) -> real
*
* x.modulo(y) means x-y*(x/y).floor
*
* Equivalent to
* <i>num</i>.<code>divmod(</code><i>aNumeric</i><code>)[1]</code>.
*
* See <code>Numeric#divmod</code>.
*/
static VALUE
num_modulo(VALUE x, VALUE y)
{
return rb_funcall(x, '-', 1,
rb_funcall(y, '*', 1,
rb_funcall(x, rb_intern("div"), 1, y)));
}
/*
* call-seq:
* num.remainder(numeric) -> real
*
* x.remainder(y) means x-y*(x/y).truncate
*
* See <code>Numeric#divmod</code>.
*/
static VALUE
num_remainder(VALUE x, VALUE y)
{
VALUE z = rb_funcall(x, '%', 1, y);
if ((!rb_equal(z, INT2FIX(0))) &&
((negative_int_p(x) &&
positive_int_p(y)) ||
(positive_int_p(x) &&
negative_int_p(y)))) {
return rb_funcall(z, '-', 1, y);
}
return z;
}
/*
* call-seq:
* num.divmod(numeric) -> array
*
* Returns an array containing the quotient and modulus obtained by
* dividing <i>num</i> by <i>numeric</i>. If <code>q, r =
* x.divmod(y)</code>, then
*
* q = floor(x/y)
* x = q*y+r
*
* The quotient is rounded toward -infinity, as shown in the following table:
*
* a | b | a.divmod(b) | a/b | a.modulo(b) | a.remainder(b)
* ------+-----+---------------+---------+-------------+---------------
* 13 | 4 | 3, 1 | 3 | 1 | 1
* ------+-----+---------------+---------+-------------+---------------
* 13 | -4 | -4, -3 | -4 | -3 | 1
* ------+-----+---------------+---------+-------------+---------------
* -13 | 4 | -4, 3 | -4 | 3 | -1
* ------+-----+---------------+---------+-------------+---------------
* -13 | -4 | 3, -1 | 3 | -1 | -1
* ------+-----+---------------+---------+-------------+---------------
* 11.5 | 4 | 2, 3.5 | 2.875 | 3.5 | 3.5
* ------+-----+---------------+---------+-------------+---------------
* 11.5 | -4 | -3, -0.5 | -2.875 | -0.5 | 3.5
* ------+-----+---------------+---------+-------------+---------------
* -11.5 | 4 | -3, 0.5 | -2.875 | 0.5 | -3.5
* ------+-----+---------------+---------+-------------+---------------
* -11.5 | -4 | 2, -3.5 | 2.875 | -3.5 | -3.5
*
*
* Examples
*
* 11.divmod(3) #=> [3, 2]
* 11.divmod(-3) #=> [-4, -1]
* 11.divmod(3.5) #=> [3, 0.5]
* (-11).divmod(3.5) #=> [-4, 3.0]
* (11.5).divmod(3.5) #=> [3, 1.0]
*/
static VALUE
num_divmod(VALUE x, VALUE y)
{
return rb_assoc_new(num_div(x, y), num_modulo(x, y));
}
/*
* call-seq:
* num.real? -> true or false
*
* Returns <code>true</code> if <i>num</i> is a <code>Real</code>
* (i.e. non <code>Complex</code>).
*/
static VALUE
num_real_p(VALUE num)
{
return Qtrue;
}
/*
* call-seq:
* num.integer? -> true or false
*
* Returns +true+ if +num+ is an Integer (including Fixnum and Bignum).
*
* (1.0).integer? #=> false
* (1).integer? #=> true
*/
static VALUE
num_int_p(VALUE num)
{
return Qfalse;
}
/*
* 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 VALUE
num_abs(VALUE num)
{
if (negative_int_p(num)) {
return rb_funcall(num, rb_intern("-@"), 0);
}
return num;
}
/*
* call-seq:
* num.zero? -> true or false
*
* Returns <code>true</code> if <i>num</i> has a zero value.
*/
static VALUE
num_zero_p(VALUE num)
{
if (rb_equal(num, INT2FIX(0))) {
return Qtrue;
}
return Qfalse;
}
/*
* call-seq:
* num.nonzero? -> self or nil
*
* Returns +self+ if <i>num</i> is not zero, <code>nil</code>
* otherwise. This behavior is useful when chaining comparisons:
*
* a = %w( z Bb bB bb BB a aA Aa AA A )
* b = a.sort {|a,b| (a.downcase <=> b.downcase).nonzero? || a <=> b }
* b #=> ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"]
*/
static VALUE
num_nonzero_p(VALUE num)
{
if (RTEST(rb_funcall(num, rb_intern("zero?"), 0, 0))) {
return Qnil;
}
return num;
}
/*
* call-seq:
* num.to_int -> integer
*
* Invokes the child class's +to_i+ method to convert +num+ to an integer.
*
* 1.0.class => Float
* 1.0.to_int.class => Fixnum
* 1.0.to_i.class => Fixnum
*/
static VALUE
num_to_int(VALUE num)
{
return rb_funcall(num, id_to_i, 0, 0);
}
/********************************************************************
*
* Document-class: Float
*
* <code>Float</code> objects represent inexact real numbers using
* the native architecture's double-precision floating point
* representation.
*
* Floating point has a different arithmetic and is a inexact number.
* So you should know its esoteric system. see following:
*
* - http://docs.sun.com/source/806-3568/ncg_goldberg.html
* - http://wiki.github.com/rdp/ruby_tutorials_core/ruby-talk-faq#floats_imprecise
* - http://en.wikipedia.org/wiki/Floating_point#Accuracy_problems
*/
VALUE
rb_float_new_in_heap(double d)
{
NEWOBJ_OF(flt, struct RFloat, rb_cFloat, T_FLOAT);
flt->float_value = d;
OBJ_FREEZE(flt);
return (VALUE)flt;
}
/*
* 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 VALUE
flo_to_s(VALUE flt)
{
char *ruby_dtoa(double d_, int mode, int ndigits, int *decpt, int *sign, char **rve);
enum {decimal_mant = DBL_MANT_DIG-DBL_DIG};
enum {float_dig = DBL_DIG+1};
char buf[float_dig + (decimal_mant + CHAR_BIT - 1) / CHAR_BIT + 10];
double value = RFLOAT_VALUE(flt);
VALUE s;
char *p, *e;
int sign, decpt, digs;
if (isinf(value))
return rb_usascii_str_new2(value < 0 ? "-Infinity" : "Infinity");
else if (isnan(value))
return rb_usascii_str_new2("NaN");
p = ruby_dtoa(value, 0, 0, &decpt, &sign, &e);
s = sign ? rb_usascii_str_new_cstr("-") : rb_usascii_str_new(0, 0);
if ((digs = (int)(e - p)) >= (int)sizeof(buf)) digs = (int)sizeof(buf) - 1;
memcpy(buf, p, digs);
xfree(p);
if (decpt > 0) {
if (decpt < digs) {
memmove(buf + decpt + 1, buf + decpt, digs - decpt);
buf[decpt] = '.';
rb_str_cat(s, buf, digs + 1);
}
else if (decpt <= DBL_DIG) {
long len;
char *ptr;
rb_str_cat(s, buf, digs);
rb_str_resize(s, (len = RSTRING_LEN(s)) + decpt - digs + 2);
ptr = RSTRING_PTR(s) + len;
if (decpt > digs) {
memset(ptr, '0', decpt - digs);
ptr += decpt - digs;
}
memcpy(ptr, ".0", 2);
}
else {
goto exp;
}
}
else if (decpt > -4) {
long len;
char *ptr;
rb_str_cat(s, "0.", 2);
rb_str_resize(s, (len = RSTRING_LEN(s)) - decpt + digs);
ptr = RSTRING_PTR(s);
memset(ptr += len, '0', -decpt);
memcpy(ptr -= decpt, buf, digs);
}
else {
exp:
if (digs > 1) {
memmove(buf + 2, buf + 1, digs - 1);
}
else {
buf[2] = '0';
digs++;
}
buf[1] = '.';
rb_str_cat(s, buf, digs + 1);
rb_str_catf(s, "e%+03d", decpt - 1);
}
return s;
}
/*
* call-seq:
* flt.coerce(numeric) -> array
*
* Returns an array with both <i>aNumeric</i> and <i>flt</i> represented
* as <code>Float</code> objects.
* This is achieved by converting <i>aNumeric</i> to a <code>Float</code>.
*
* 1.2.coerce(3) #=> [3.0, 1.2]
* 2.5.coerce(1.1) #=> [1.1, 2.5]
*/
static VALUE
flo_coerce(VALUE x, VALUE y)
{
return rb_assoc_new(rb_Float(y), x);
}
/*
* call-seq:
* -float -> float
*
* Returns float, negated.
*/
static VALUE
flo_uminus(VALUE flt)
{
return DBL2NUM(-RFLOAT_VALUE(flt));
}
/*
* call-seq:
* float + other -> float
*
* Returns a new float which is the sum of <code>float</code>
* and <code>other</code>.
*/
static VALUE
flo_plus(VALUE x, VALUE y)
{
switch (TYPE(y)) {
case T_FIXNUM:
return DBL2NUM(RFLOAT_VALUE(x) + (double)FIX2LONG(y));
case T_BIGNUM:
return DBL2NUM(RFLOAT_VALUE(x) + rb_big2dbl(y));
case T_FLOAT:
return DBL2NUM(RFLOAT_VALUE(x) + RFLOAT_VALUE(y));
default:
return rb_num_coerce_bin(x, y, '+');
}
}
/*
* call-seq:
* float - other -> float
*
* Returns a new float which is the difference of <code>float</code>
* and <code>other</code>.
*/
static VALUE
flo_minus(VALUE x, VALUE y)
{
switch (TYPE(y)) {
case T_FIXNUM:
return DBL2NUM(RFLOAT_VALUE(x) - (double)FIX2LONG(y));
case T_BIGNUM:
return DBL2NUM(RFLOAT_VALUE(x) - rb_big2dbl(y));
case T_FLOAT:
return DBL2NUM(RFLOAT_VALUE(x) - RFLOAT_VALUE(y));
default:
return rb_num_coerce_bin(x, y, '-');
}
}
/*
* call-seq:
* float * other -> float
*
* Returns a new float which is the product of <code>float</code>
* and <code>other</code>.
*/
static VALUE
flo_mul(VALUE x, VALUE y)
{
switch (TYPE(y)) {
case T_FIXNUM:
return DBL2NUM(RFLOAT_VALUE(x) * (double)FIX2LONG(y));
case T_BIGNUM:
return DBL2NUM(RFLOAT_VALUE(x) * rb_big2dbl(y));
case T_FLOAT:
return DBL2NUM(RFLOAT_VALUE(x) * RFLOAT_VALUE(y));
default:
return rb_num_coerce_bin(x, y, '*');
}
}
/*
* call-seq:
* float / other -> float
*
* Returns a new float which is the result of dividing
* <code>float</code> by <code>other</code>.
*/
static VALUE
flo_div(VALUE x, VALUE y)
{
long f_y;
double d;
switch (TYPE(y)) {
case T_FIXNUM:
f_y = FIX2LONG(y);
return DBL2NUM(RFLOAT_VALUE(x) / (double)f_y);
case T_BIGNUM:
d = rb_big2dbl(y);
return DBL2NUM(RFLOAT_VALUE(x) / d);
case T_FLOAT:
return DBL2NUM(RFLOAT_VALUE(x) / RFLOAT_VALUE(y));
default:
return rb_num_coerce_bin(x, y, '/');
}
}
/*
* call-seq:
* float.quo(numeric) -> float
*
* Returns float / numeric.
*/
static VALUE
flo_quo(VALUE x, VALUE y)
{
return rb_funcall(x, '/', 1, y);
}
static void
flodivmod(double x, double y, double *divp, double *modp)
{
double div, mod;
if (y == 0.0) rb_num_zerodiv();
if ((x == 0.0) || (isinf(y) && !isinf(x)))
mod = x;
else {
#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;
}
/*
* Returns the modulo of division of x by y.
* An error will be raised if y == 0.
*/
double
ruby_float_mod(double x, double y)
{
double mod;
flodivmod(x, y, 0, &mod);
return mod;
}
/*
* call-seq:
* float % other -> float
* float.modulo(other) -> float
*
* Return the modulo after division of +float+ by +other+.
*
* 6543.21.modulo(137) #=> 104.21
* 6543.21.modulo(137.24) #=> 92.9299999999996
*/
static VALUE
flo_mod(VALUE x, VALUE y)
{
double fy;
switch (TYPE(y)) {
case T_FIXNUM:
fy = (double)FIX2LONG(y);
break;
case T_BIGNUM:
fy = rb_big2dbl(y);
break;
case T_FLOAT:
fy = RFLOAT_VALUE(y);
break;
default:
return rb_num_coerce_bin(x, y, '%');
}
return DBL2NUM(ruby_float_mod(RFLOAT_VALUE(x), fy));
}
static VALUE
dbl2ival(double d)
{
d = round(d);
if (FIXABLE(d)) {
return LONG2FIX((long)d);
}
return rb_dbl2big(d);
}
/*
* call-seq:
* float.divmod(numeric) -> array
*
* See Numeric#divmod.
*
* 42.0.divmod 6 #=> [7, 0.0]
* 42.0.divmod 5 #=> [8, 2.0]
*/
static VALUE
flo_divmod(VALUE x, VALUE y)
{
double fy, div, mod;
volatile VALUE a, b;
switch (TYPE(y)) {
case T_FIXNUM:
fy = (double)FIX2LONG(y);
break;
case T_BIGNUM:
fy = rb_big2dbl(y);
break;
case T_FLOAT:
fy = RFLOAT_VALUE(y);
break;
default:
return rb_num_coerce_bin(x, y, rb_intern("divmod"));
}
flodivmod(RFLOAT_VALUE(x), fy, &div, &mod);
a = dbl2ival(div);
b = DBL2NUM(mod);
return rb_assoc_new(a, b);
}
/*
* call-seq:
*
* flt ** other -> float
*
* Raises <code>float</code> the <code>other</code> power.
*
* 2.0**3 #=> 8.0
*/
static VALUE
flo_pow(VALUE x, VALUE y)
{