rational.c File Reference

#include "ruby.h"
#include "internal.h"
#include <math.h>
#include <float.h>
#include <assert.h>
#include <ctype.h>

Go to the source code of this file.

Defines
#define	NDEBUG
#define	ZERO INT2FIX(0)
#define	ONE INT2FIX(1)
#define	TWO INT2FIX(2)
#define	f_boolcast(x) ((x) ? Qtrue : Qfalse)
#define	binop(n, op)
#define	fun1(n)
#define	fun2(n)
#define	f_expt10(x) f_expt(INT2FIX(10), x)
#define	f_positive_p(x) (!f_negative_p(x))
#define	f_nonzero_p(x) (!f_zero_p(x))
#define	k_exact_p(x) (!k_float_p(x))
#define	k_inexact_p(x) k_float_p(x)
#define	k_exact_zero_p(x) (k_exact_p(x) && f_zero_p(x))
#define	k_exact_one_p(x) (k_exact_p(x) && f_one_p(x))
#define	get_dat1(x)
#define	get_dat2(x, y)
#define	rb_raise_zerodiv() rb_raise(rb_eZeroDivError, "divided by 0")
#define	id_ceil rb_intern("ceil")
#define	f_ceil(x) rb_funcall((x), id_ceil, 0)
#define	id_quo rb_intern("quo")
#define	f_quo(x, y) rb_funcall((x), id_quo, 1, (y))
#define	f_reciprocal(x) f_quo(ONE, (x))
#define	id_numerator rb_intern("numerator")
#define	f_numerator(x) rb_funcall((x), id_numerator, 0)
#define	id_denominator rb_intern("denominator")
#define	f_denominator(x) rb_funcall((x), id_denominator, 0)
#define	id_to_r rb_intern("to_r")
#define	f_to_r(x) rb_funcall((x), id_to_r, 0)
#define	id_lshift rb_intern("<<")
#define	f_lshift(x, n) rb_funcall((x), id_lshift, 1, (n))
#define	WS "\\s*"
#define	DIGITS "(?:[0-9](?:_[0-9]\|[0-9])*)"
#define	NUMERATOR "(?:" DIGITS "?\\.)?" DIGITS "(?:[eE][-+]?" DIGITS ")?"
#define	DENOMINATOR DIGITS
#define	PATTERN "\\A" WS "([-+])?(" NUMERATOR ")(?:\\/(" DENOMINATOR "))?" WS
#define	id_match rb_intern("match")
#define	f_match(x, y) rb_funcall((x), id_match, 1, (y))
#define	id_split rb_intern("split")
#define	f_split(x, y) rb_funcall((x), id_split, 1, (y))
#define	id_gsub rb_intern("gsub")
#define	f_gsub(x, y, z) rb_funcall((x), id_gsub, 2, (y), (z))
#define	id_to_r rb_intern("to_r")
#define	f_to_r(x) rb_funcall((x), id_to_r, 0)
#define	rb_intern(str) rb_intern_const(str)
Functions
static VALUE	f_add (VALUE x, VALUE y)
static VALUE	f_cmp (VALUE x, VALUE y)
static VALUE	f_div (VALUE x, VALUE y)
static VALUE	f_gt_p (VALUE x, VALUE y)
static VALUE	f_lt_p (VALUE x, VALUE y)
	binop (mod, '%')
static VALUE	f_sub (VALUE x, VALUE y)
	fun1 (abs)
static VALUE	f_to_f (VALUE x)
	fun1 (to_s)
	fun2 (expt)
static VALUE	f_zero_p (VALUE x)
static VALUE	f_one_p (VALUE x)
static VALUE	f_kind_of_p (VALUE x, VALUE c)
static VALUE	k_numeric_p (VALUE x)
static VALUE	k_integer_p (VALUE x)
static VALUE	k_float_p (VALUE x)
static VALUE	k_rational_p (VALUE x)
static long	i_gcd (long x, long y)
static VALUE	f_gcd (VALUE x, VALUE y)
static VALUE	f_lcm (VALUE x, VALUE y)
static VALUE	nurat_s_new_internal (VALUE klass, VALUE num, VALUE den)
static VALUE	nurat_s_alloc (VALUE klass)
static VALUE	f_rational_new_bang1 (VALUE klass, VALUE x)
static VALUE	f_rational_new_bang2 (VALUE klass, VALUE x, VALUE y)
static void	nurat_int_check (VALUE num)
static VALUE	nurat_int_value (VALUE num)
static VALUE	nurat_s_canonicalize_internal (VALUE klass, VALUE num, VALUE den)
static VALUE	nurat_s_canonicalize_internal_no_reduce (VALUE klass, VALUE num, VALUE den)
static VALUE	nurat_s_new (int argc, VALUE *argv, VALUE klass)
static VALUE	f_rational_new1 (VALUE klass, VALUE x)
static VALUE	f_rational_new2 (VALUE klass, VALUE x, VALUE y)
static VALUE	f_rational_new_no_reduce1 (VALUE klass, VALUE x)
static VALUE	f_rational_new_no_reduce2 (VALUE klass, VALUE x, VALUE y)
static VALUE	nurat_f_rational (int argc, VALUE *argv, VALUE klass)
static VALUE	nurat_numerator (VALUE self)
static VALUE	nurat_denominator (VALUE self)
static VALUE	f_imul (long a, long b)
static VALUE	f_addsub (VALUE self, VALUE anum, VALUE aden, VALUE bnum, VALUE bden, int k)
static VALUE	nurat_add (VALUE self, VALUE other)
static VALUE	nurat_sub (VALUE self, VALUE other)
static VALUE	f_muldiv (VALUE self, VALUE anum, VALUE aden, VALUE bnum, VALUE bden, int k)
static VALUE	nurat_mul (VALUE self, VALUE other)
static VALUE	nurat_div (VALUE self, VALUE other)
static VALUE	nurat_fdiv (VALUE self, VALUE other)
static VALUE	nurat_expt (VALUE self, VALUE other)
static VALUE	nurat_cmp (VALUE self, VALUE other)
static VALUE	nurat_eqeq_p (VALUE self, VALUE other)
static VALUE	nurat_coerce (VALUE self, VALUE other)
static VALUE	nurat_floor (VALUE self)
static VALUE	nurat_ceil (VALUE self)
static VALUE	nurat_truncate (VALUE self)
static VALUE	nurat_round (VALUE self)
static VALUE	f_round_common (int argc, VALUE argv, VALUE self, VALUE(func)(VALUE))
static VALUE	nurat_floor_n (int argc, VALUE *argv, VALUE self)
static VALUE	nurat_ceil_n (int argc, VALUE *argv, VALUE self)
static VALUE	nurat_truncate_n (int argc, VALUE *argv, VALUE self)
static VALUE	nurat_round_n (int argc, VALUE *argv, VALUE self)
static VALUE	nurat_to_f (VALUE self)
static VALUE	nurat_to_r (VALUE self)
static void	nurat_rationalize_internal (VALUE a, VALUE b, VALUE p, VALUE q)
static VALUE	nurat_rationalize (int argc, VALUE *argv, VALUE self)
static VALUE	nurat_hash (VALUE self)
static VALUE	f_format (VALUE self, VALUE(*func)(VALUE))
static VALUE	nurat_to_s (VALUE self)
static VALUE	nurat_inspect (VALUE self)
static VALUE	nurat_marshal_dump (VALUE self)
static VALUE	nurat_marshal_load (VALUE self, VALUE a)
VALUE	rb_rational_reciprocal (VALUE x)
VALUE	rb_gcd (VALUE self, VALUE other)
VALUE	rb_lcm (VALUE self, VALUE other)
VALUE	rb_gcdlcm (VALUE self, VALUE other)
VALUE	rb_rational_raw (VALUE x, VALUE y)
VALUE	rb_rational_new (VALUE x, VALUE y)
static VALUE	nurat_s_convert (int argc, VALUE *argv, VALUE klass)
VALUE	rb_Rational (VALUE x, VALUE y)
static VALUE	numeric_numerator (VALUE self)
static VALUE	numeric_denominator (VALUE self)
static VALUE	integer_numerator (VALUE self)
static VALUE	integer_denominator (VALUE self)
static VALUE	float_numerator (VALUE self)
static VALUE	float_denominator (VALUE self)
static VALUE	nilclass_to_r (VALUE self)
static VALUE	nilclass_rationalize (int argc, VALUE *argv, VALUE self)
static VALUE	integer_to_r (VALUE self)
static VALUE	integer_rationalize (int argc, VALUE *argv, VALUE self)
static void	float_decode_internal (VALUE self, VALUE rf, VALUE rn)
static VALUE	float_to_r (VALUE self)
static VALUE	float_rationalize (int argc, VALUE *argv, VALUE self)
static void	make_patterns (void)
static VALUE	string_to_r_internal (VALUE self)
static VALUE	string_to_r_strict (VALUE self)
static VALUE	string_to_r (VALUE self)
void	Init_Rational (void)
Variables
VALUE	rb_cRational
static ID	id_abs
static ID	id_cmp
static ID	id_convert
static ID	id_eqeq_p
static ID	id_expt
static ID	id_fdiv
static ID	id_floor
static ID	id_idiv
static ID	id_inspect
static ID	id_integer_p
static ID	id_negate
static ID	id_to_f
static ID	id_to_i
static ID	id_to_s
static ID	id_truncate
static VALUE	rat_pat
static VALUE	an_e_pat
static VALUE	a_dot_pat
static VALUE	underscores_pat
static VALUE	an_underscore

Define Documentation

#define binop	(	n,
		op		)

Value:

inline static VALUE \
f_##n(VALUE x, VALUE y)\
{\
  return rb_funcall(x, (op), 1, y);\
}

Definition at line 32 of file rational.c.

#define DENOMINATOR DIGITS

Definition at line 1997 of file rational.c.

#define DIGITS "(?:[0-9](?:_[0-9]|[0-9])*)"

Definition at line 1995 of file rational.c.

#define f_boolcast ( x ) ((x) ? Qtrue : Qfalse)

Definition at line 30 of file rational.c.

#define f_ceil ( x ) rb_funcall((x), id_ceil, 0)

Definition at line 1390 of file rational.c.

#define f_denominator ( x ) rb_funcall((x), id_denominator, 0)

Definition at line 1720 of file rational.c.

Referenced by nucomp_denominator(), nucomp_expt(), nucomp_numerator(), and numeric_denominator().

#define f_expt10 ( x ) f_expt(INT2FIX(10), x)

Referenced by f_round_common(), and string_to_r_internal().

#define f_gsub	(	x,
		y,
		z	)	rb_funcall((x), id_gsub, 2, (y), (z))

Definition at line 2130 of file rational.c.

#define f_lshift	(	x,
		n		)	rb_funcall((x), id_lshift, 1, (n))

Definition at line 1894 of file rational.c.

Referenced by float_rationalize(), and float_to_r().

#define f_match	(	x,
		y		)	rb_funcall((x), id_match, 1, (y))

Definition at line 2028 of file rational.c.

#define f_nonzero_p ( x ) (!f_zero_p(x))

Definition at line 201 of file rational.c.

#define f_numerator ( x ) rb_funcall((x), id_numerator, 0)

Definition at line 1717 of file rational.c.

Referenced by nucomp_expt(), nucomp_numerator(), and numeric_numerator().

#define f_positive_p ( x ) (!f_negative_p(x))

Definition at line 181 of file rational.c.

#define f_quo	(	x,
		y		)	rb_funcall((x), id_quo, 1, (y))

Definition at line 1393 of file rational.c.

#define f_reciprocal ( x ) f_quo(ONE, (x))

Definition at line 1395 of file rational.c.

Referenced by nucomp_expt(), and nurat_rationalize_internal().

#define f_split	(	x,
		y		)	rb_funcall((x), id_split, 1, (y))

Definition at line 2031 of file rational.c.

Referenced by string_to_r_internal().

#define f_to_r ( x ) rb_funcall((x), id_to_r, 0)

Definition at line 2178 of file rational.c.

#define f_to_r ( x ) rb_funcall((x), id_to_r, 0)

Definition at line 2178 of file rational.c.

#define fun1 ( n )

Value:

inline static VALUE \
f_##n(VALUE x)\
{\
    return rb_funcall(x, id_##n, 0);\
}

Definition at line 39 of file rational.c.

#define fun2 ( n )

Value:

inline static VALUE \
f_##n(VALUE x, VALUE y)\
{\
    return rb_funcall(x, id_##n, 1, y);\
}

Definition at line 46 of file rational.c.

#define get_dat1 ( x )

Value:

struct RRational *dat;\
    dat = ((struct RRational *)(x))

Definition at line 339 of file rational.c.

#define get_dat2	(	x,
		y		)

Value:

struct RRational *adat, *bdat;\
    adat = ((struct RRational *)(x));\
    bdat = ((struct RRational *)(y))

Definition at line 343 of file rational.c.

#define id_ceil rb_intern("ceil")

Definition at line 1389 of file rational.c.

Referenced by check_rounding_mode(), and Init_bigdecimal().

#define id_denominator rb_intern("denominator")

Definition at line 1719 of file rational.c.

Referenced by Init_Complex().

#define id_gsub rb_intern("gsub")

Definition at line 2129 of file rational.c.

#define id_lshift rb_intern("<<")

Definition at line 1893 of file rational.c.

Referenced by Init_Time().

#define id_match rb_intern("match")

Definition at line 2027 of file rational.c.

#define id_numerator rb_intern("numerator")

Definition at line 1716 of file rational.c.

Referenced by Init_Complex().

#define id_quo rb_intern("quo")

Definition at line 1392 of file rational.c.

Referenced by Init_Complex(), Init_Time(), nucomp_div(), quo(), and wquo().

#define id_split rb_intern("split")

Definition at line 2030 of file rational.c.

#define id_to_r rb_intern("to_r")

Definition at line 2177 of file rational.c.

#define id_to_r rb_intern("to_r")

Definition at line 2177 of file rational.c.

Referenced by GetVpValueWithPrec(), Init_bigdecimal(), and Init_Complex().

#define k_exact_one_p ( x ) (k_exact_p(x) && f_one_p(x))

Definition at line 257 of file rational.c.

#define k_exact_p ( x ) (!k_float_p(x))

Definition at line 253 of file rational.c.

#define k_exact_zero_p ( x ) (k_exact_p(x) && f_zero_p(x))

Definition at line 256 of file rational.c.

#define k_inexact_p ( x ) k_float_p(x)

Definition at line 254 of file rational.c.

#define NDEBUG

Definition at line 17 of file rational.c.

#define NUMERATOR "(?:" DIGITS "?\\.)?" DIGITS "(?:[eE][-+]?" DIGITS ")?"

Definition at line 1996 of file rational.c.

#define ONE INT2FIX(1)

Definition at line 21 of file rational.c.

#define PATTERN "\\A" WS "([-+])?(" NUMERATOR ")(?:\\/(" DENOMINATOR "))?" WS

Definition at line 1998 of file rational.c.

Referenced by make_patterns().

#define rb_intern ( str ) rb_intern_const(str)

#define rb_raise_zerodiv ( ) rb_raise(rb_eZeroDivError, "divided by 0")

Definition at line 366 of file rational.c.

#define TWO INT2FIX(2)

Definition at line 22 of file rational.c.

#define WS "\\s*"

Definition at line 1994 of file rational.c.

#define ZERO INT2FIX(0)

Definition at line 20 of file rational.c.

Function Documentation

binop	(	mod	,
		'%'
	)

Definition at line 101 of file rational.c.

References FIX2LONG, FIXNUM_P, rb_funcall(), T_BIGNUM, TYPE, and ZERO.

static VALUE f_add	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 54 of file rational.c.

References FIX2LONG, FIXNUM_P, and rb_funcall().

static VALUE f_addsub	(	VALUE	self,
		VALUE	anum,
		VALUE	aden,
		VALUE	bnum,
		VALUE	bden,
		int	k
	)			`[inline, static]`

Definition at line 637 of file rational.c.

References CLASS_OF, f_add, f_gcd(), f_idiv, f_imul(), f_mul, f_rational_new_no_reduce2(), f_sub, FIX2LONG, FIXNUM_P, i_gcd(), and LONG2NUM.

Referenced by nurat_add(), and nurat_sub().

static VALUE f_cmp	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 64 of file rational.c.

References FIX2LONG, FIXNUM_P, id_cmp, INT2FIX, and rb_funcall().

Referenced by nurat_cmp(), nurat_expt(), nurat_s_canonicalize_internal(), and nurat_s_canonicalize_internal_no_reduce().

static VALUE f_div	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 78 of file rational.c.

References FIX2LONG, FIXNUM_P, and rb_funcall().

static VALUE f_format	(	VALUE	self,
		VALUE(*)(VALUE)	func
	)			`[static]`

Definition at line 1541 of file rational.c.

References func, get_dat1, rb_str_cat2(), and rb_str_concat().

Referenced by nurat_inspect(), and nurat_to_s().

static VALUE f_gcd	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 285 of file rational.c.

References f_mod, f_negate, f_negative_p(), f_zero_p(), FIX2LONG, FIXNUM_P, i_gcd(), and LONG2NUM.

Referenced by f_addsub(), f_lcm(), f_muldiv(), nurat_s_canonicalize_internal(), rb_gcd(), and rb_gcdlcm().

static VALUE f_gt_p	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 86 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, and rb_funcall().

static VALUE f_imul	(	long	a,
		long	b
	)			`[inline, static]`

Definition at line 605 of file rational.c.

References LONG2NUM, NUM2LONG(), rb_big_mul(), rb_int2big(), and ZERO.

Referenced by f_addsub(), f_muldiv(), and nurat_cmp().

static VALUE f_kind_of_p	(	VALUE	x,
		VALUE	c
	)			`[inline, static]`

Definition at line 224 of file rational.c.

References rb_obj_is_kind_of().

Referenced by k_float_p(), k_integer_p(), k_numeric_p(), and k_rational_p().

static VALUE f_lcm	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 332 of file rational.c.

References f_abs, f_div, f_gcd(), f_mul, f_zero_p(), and ZERO.

Referenced by rb_gcdlcm(), and rb_lcm().

static VALUE f_lt_p	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 94 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, and rb_funcall().

static VALUE f_muldiv	(	VALUE	self,
		VALUE	anum,
		VALUE	aden,
		VALUE	bnum,
		VALUE	bden,
		int	k
	)			`[inline, static]`

Definition at line 770 of file rational.c.

References CLASS_OF, f_gcd(), f_idiv, f_imul(), f_mul, f_negate, f_negative_p(), f_rational_new_no_reduce2(), FIX2LONG, FIXNUM_P, and i_gcd().

Referenced by nurat_div(), and nurat_mul().

static VALUE f_one_p ( VALUE x ) [inline, static]

Definition at line 204 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, id_eqeq_p, ONE, Qfalse, rb_funcall(), RRATIONAL, T_BIGNUM, T_FIXNUM, T_RATIONAL, and TYPE.

Referenced by nurat_div(), nurat_expt(), nurat_s_canonicalize_internal(), and nurat_s_canonicalize_internal_no_reduce().

static VALUE f_rational_new1	(	VALUE	klass,
		VALUE	x
	)			`[inline, static]`

Definition at line 518 of file rational.c.

References assert, k_rational_p(), nurat_s_canonicalize_internal(), and ONE.

static VALUE f_rational_new2	(	VALUE	klass,
		VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 525 of file rational.c.

References assert, k_rational_p(), and nurat_s_canonicalize_internal().

Referenced by nurat_expt(), and nurat_rationalize().

static VALUE f_rational_new_bang1	(	VALUE	klass,
		VALUE	x
	)			`[inline, static]`

Definition at line 403 of file rational.c.

References nurat_s_new_internal(), and ONE.

Referenced by f_round_common(), nurat_cmp(), nurat_coerce(), and nurat_expt().

static VALUE f_rational_new_bang2	(	VALUE	klass,
		VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 409 of file rational.c.

References assert, f_nonzero_p, f_positive_p, and nurat_s_new_internal().

static VALUE f_rational_new_no_reduce1	(	VALUE	klass,
		VALUE	x
	)			`[inline, static]`

Definition at line 533 of file rational.c.

References assert, k_rational_p(), nurat_s_canonicalize_internal_no_reduce(), and ONE.

static VALUE f_rational_new_no_reduce2	(	VALUE	klass,
		VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 540 of file rational.c.

References assert, k_rational_p(), and nurat_s_canonicalize_internal_no_reduce().

Referenced by f_addsub(), f_muldiv(), nurat_div(), and rb_rational_reciprocal().

static VALUE f_round_common	(	int	argc,
		VALUE *	argv,
		VALUE	self,
		VALUE(*)(VALUE)	func
	)			`[static]`

Definition at line 1218 of file rational.c.

References CLASS_OF, f_div, f_expt10, f_lt_p, f_mul, f_rational_new_bang1(), f_to_i, func, k_integer_p(), k_rational_p(), ONE, rb_eTypeError, rb_raise(), and rb_scan_args().

Referenced by nurat_ceil_n(), nurat_floor_n(), nurat_round_n(), and nurat_truncate_n().

static VALUE f_sub	(	VALUE	x,
		VALUE	y
	)			`[inline, static]`

Definition at line 128 of file rational.c.

References FIX2LONG, FIXNUM_P, and rb_funcall().

static VALUE f_to_f ( VALUE x ) [inline, static]

Definition at line 149 of file rational.c.

References DBL2NUM, id_to_f, rb_funcall(), rb_str_to_dbl(), T_STRING, and TYPE.

Referenced by nurat_add(), nurat_cmp(), nurat_coerce(), nurat_div(), nurat_eqeq_p(), nurat_expt(), nurat_fdiv(), nurat_mul(), and nurat_sub().

static VALUE f_zero_p ( VALUE x ) [inline, static]

Definition at line 184 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, id_eqeq_p, Qfalse, rb_funcall(), RRATIONAL, T_BIGNUM, T_FIXNUM, T_RATIONAL, TYPE, and ZERO.

Referenced by f_gcd(), f_lcm(), float_rationalize(), nurat_div(), nurat_eqeq_p(), nurat_fdiv(), and nurat_marshal_load().

static void float_decode_internal	(	VALUE	self,
		VALUE *	rf,
		VALUE *	rn
	)			`[static]`

Definition at line 1870 of file rational.c.

References DBL_MANT_DIG, INT2FIX, rb_dbl2big(), and RFLOAT_VALUE.

Referenced by float_rationalize(), and float_to_r().

static VALUE float_denominator ( VALUE self ) [static]

Definition at line 1804 of file rational.c.

References INT2FIX, isinf(), isnan, rb_call_super(), and RFLOAT_VALUE.

Referenced by Init_Rational().

static VALUE float_numerator ( VALUE self ) [static]

Definition at line 1786 of file rational.c.

References isinf(), isnan, rb_call_super(), and RFLOAT_VALUE.

Referenced by Init_Rational().

static VALUE float_rationalize	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1949 of file rational.c.

References f_abs, f_add, f_eqeq_p(), f_expt, f_lshift, f_mul, f_negate, f_negative_p(), f_positive_p, f_sub, f_to_r, f_zero_p(), float_decode_internal(), FLT_RADIX, INT2FIX, nurat_rationalize_internal(), ONE, rb_rational_new1, rb_rational_new2, rb_scan_args(), and TWO.

Referenced by Init_Rational().

static VALUE float_to_r ( VALUE self ) [static]

Definition at line 1913 of file rational.c.

References f_expt, f_lshift, f_mul, f_to_r, FIX2LONG, float_decode_internal(), FLT_RADIX, INT2FIX, ONE, and rb_rational_new2.

Referenced by Init_Rational().

fun1 ( to_s )

Definition at line 156 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, id_eqeq_p, and rb_funcall().

fun1 ( abs )

Definition at line 135 of file rational.c.

References id_to_i, rb_funcall(), rb_str_to_inum(), T_STRING, and TYPE.

fun2 ( expt )

Definition at line 167 of file rational.c.

References f_boolcast, FIX2LONG, FIXNUM_P, rb_funcall(), and ZERO.

static long i_gcd	(	long	x,
		long	y
	)			`[inline, static]`

Definition at line 264 of file rational.c.

Referenced by f_addsub(), f_gcd(), and f_muldiv().

void Init_Rational ( void )

Definition at line 2296 of file rational.c.

References assert, CLASS_OF, float_denominator(), float_numerator(), float_rationalize(), float_to_r(), id_abs, id_cmp, id_convert, id_eqeq_p, id_expt, id_fdiv, id_floor, id_idiv, id_inspect, id_integer_p, id_negate, id_to_f, id_to_i, id_to_s, id_truncate, integer_denominator(), integer_numerator(), integer_rationalize(), integer_to_r(), make_patterns(), nilclass_rationalize(), nilclass_to_r(), numeric_denominator(), numeric_numerator(), nurat_add(), nurat_ceil_n(), nurat_cmp(), nurat_coerce(), nurat_denominator(), nurat_div(), nurat_eqeq_p(), nurat_expt(), nurat_f_rational(), nurat_fdiv(), nurat_floor_n(), nurat_hash(), nurat_inspect(), nurat_marshal_dump(), nurat_marshal_load(), nurat_mul(), nurat_numerator(), nurat_rationalize(), nurat_round_n(), nurat_s_alloc(), nurat_s_convert(), nurat_s_new(), nurat_sub(), nurat_to_f(), nurat_to_r(), nurat_to_s(), nurat_truncate(), nurat_truncate_n(), rb_cFloat, rb_cInteger, rb_cNilClass, rb_cNumeric, rb_cRational, rb_cString, rb_define_alloc_func(), rb_define_class(), rb_define_global_function(), rb_define_method(), rb_define_private_method(), rb_gcd(), rb_gcdlcm(), rb_intern, rb_lcm(), rb_undef_method(), and string_to_r().

static VALUE integer_denominator ( VALUE self ) [static]

Definition at line 1768 of file rational.c.

References INT2FIX.

Referenced by Init_Rational().

static VALUE integer_numerator ( VALUE self ) [static]

Definition at line 1756 of file rational.c.

Referenced by Init_Rational().

static VALUE integer_rationalize	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1863 of file rational.c.

References integer_to_r(), NULL, and rb_scan_args().

Referenced by Init_Rational().

static VALUE integer_to_r ( VALUE self ) [static]

Definition at line 1850 of file rational.c.

References rb_rational_new1.

Referenced by Init_Rational(), and integer_rationalize().

static VALUE k_float_p ( VALUE x ) [inline, static]

Definition at line 242 of file rational.c.

References f_kind_of_p(), and rb_cFloat.

static VALUE k_integer_p ( VALUE x ) [inline, static]

Definition at line 236 of file rational.c.

References f_kind_of_p(), and rb_cInteger.

Referenced by f_round_common(), nurat_int_value(), and nurat_s_convert().

static VALUE k_numeric_p ( VALUE x ) [inline, static]

Definition at line 230 of file rational.c.

References f_kind_of_p(), and rb_cNumeric.

Referenced by nurat_expt(), nurat_int_check(), and nurat_s_convert().

static VALUE k_rational_p ( VALUE x ) [inline, static]

Definition at line 248 of file rational.c.

References f_kind_of_p(), and rb_cRational.

Referenced by f_rational_new1(), f_rational_new2(), f_rational_new_no_reduce1(), f_rational_new_no_reduce2(), f_round_common(), and nurat_expt().

static void make_patterns ( void ) [static]

Definition at line 2001 of file rational.c.

References PATTERN, rb_gc_register_mark_object(), rb_reg_new(), and rb_usascii_str_new2.

Referenced by Init_Rational().

static VALUE nilclass_rationalize	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1832 of file rational.c.

References nilclass_to_r(), NULL, and rb_scan_args().

Referenced by Init_Rational().

static VALUE nilclass_to_r ( VALUE self ) [static]

Definition at line 1819 of file rational.c.

References INT2FIX, and rb_rational_new1.

Referenced by Init_Rational(), and nilclass_rationalize().

static VALUE numeric_denominator ( VALUE self ) [static]

Definition at line 1744 of file rational.c.

References f_denominator, and f_to_r.

Referenced by Init_Rational().

static VALUE numeric_numerator ( VALUE self ) [static]

Definition at line 1732 of file rational.c.

References f_numerator, and f_to_r.

Referenced by Init_Rational().

static VALUE nurat_add	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 700 of file rational.c.

References f_add, f_addsub(), f_to_f(), get_dat1, get_dat2, ONE, rb_num_coerce_bin(), T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_ceil ( VALUE self ) [static]

Definition at line 1161 of file rational.c.

References f_idiv, f_negate, and get_dat1.

Referenced by nurat_ceil_n().

static VALUE nurat_ceil_n	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1294 of file rational.c.

References f_round_common(), and nurat_ceil().

Referenced by Init_Rational().

static VALUE nurat_cmp	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 1008 of file rational.c.

References CLASS_OF, f_cmp(), f_imul(), f_mul, f_rational_new_bang1(), f_sub, f_to_f(), FIX2LONG, FIXNUM_P, get_dat1, get_dat2, id_cmp, rb_num_coerce_cmp(), T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, TYPE, and ZERO.

Referenced by Init_Rational().

static VALUE nurat_coerce	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 1097 of file rational.c.

References CLASS_OF, f_rational_new_bang1(), f_to_f(), INT2FIX, k_exact_zero_p, Qnil, rb_assoc_new(), rb_Complex(), rb_eTypeError, rb_obj_classname(), rb_raise(), RCOMPLEX, T_BIGNUM, T_COMPLEX, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_denominator ( VALUE self ) [static]

Definition at line 594 of file rational.c.

References get_dat1.

Referenced by Init_Rational().

static VALUE nurat_div	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 866 of file rational.c.

References CLASS_OF, DBL2NUM, f_mul, f_muldiv(), f_one_p(), f_rational_new_no_reduce2(), f_to_f(), f_zero_p(), get_dat1, get_dat2, INT2FIX, isinf(), isnan, NAN, ONE, rb_dbl2big(), rb_funcall(), rb_num_coerce_bin(), rb_raise_zerodiv, rb_rational_raw2, RFLOAT_VALUE, T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_eqeq_p	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 1059 of file rational.c.

References f_boolcast, f_eqeq_p(), f_to_f(), f_zero_p(), FIX2LONG, FIXNUM_P, get_dat1, get_dat2, Qfalse, Qtrue, T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_expt	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 947 of file rational.c.

References CLASS_OF, f_cmp(), f_expt, f_negate, f_one_p(), f_rational_new2(), f_rational_new_bang1(), f_to_f(), FIX2INT, get_dat1, id_expt, k_exact_zero_p, k_numeric_p(), k_rational_p(), ONE, rb_num_coerce_bin(), rb_warn(), T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, TYPE, and ZERO.

Referenced by Init_Rational().

static VALUE nurat_f_rational	(	int	argc,
		VALUE *	argv,
		VALUE	klass
	)			`[static]`

Definition at line 554 of file rational.c.

References id_convert, rb_cRational, and rb_funcall2().

Referenced by Init_Rational().

static VALUE nurat_fdiv	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 924 of file rational.c.

References f_div, f_to_f(), and f_zero_p().

Referenced by Init_Rational().

static VALUE nurat_floor ( VALUE self ) [static]

Definition at line 1154 of file rational.c.

References f_idiv, and get_dat1.

Referenced by nurat_floor_n().

static VALUE nurat_floor_n	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1268 of file rational.c.

References f_round_common(), and nurat_floor().

Referenced by Init_Rational().

static VALUE nurat_hash ( VALUE self ) [static]

Definition at line 1526 of file rational.c.

References get_dat1, LONG2FIX, NUM2LONG(), rb_hash(), and rb_memhash().

Referenced by Init_Rational().

static VALUE nurat_inspect ( VALUE self ) [static]

Definition at line 1584 of file rational.c.

References f_format(), f_inspect, rb_str_cat2(), rb_str_concat(), and rb_usascii_str_new2.

Referenced by Init_Rational().

static void nurat_int_check ( VALUE num ) [inline, static]

Definition at line 431 of file rational.c.

References k_numeric_p(), rb_eTypeError, rb_raise(), T_BIGNUM, T_FIXNUM, and TYPE.

Referenced by nurat_int_value().

static VALUE nurat_int_value ( VALUE num ) [inline, static]

Definition at line 444 of file rational.c.

References f_to_i, k_integer_p(), and nurat_int_check().

Referenced by nurat_s_new(), rb_gcd(), rb_gcdlcm(), and rb_lcm().

static VALUE nurat_marshal_dump ( VALUE self ) [static]

Definition at line 1597 of file rational.c.

References get_dat1, rb_assoc_new(), and rb_copy_generic_ivar().

Referenced by Init_Rational().

static VALUE nurat_marshal_load	(	VALUE	self,
		VALUE	a
	)			`[static]`

Definition at line 1609 of file rational.c.

References Check_Type, f_zero_p(), get_dat1, RARRAY_LEN, RARRAY_PTR, rb_copy_generic_ivar(), rb_eArgError, rb_raise(), rb_raise_zerodiv, and T_ARRAY.

Referenced by Init_Rational().

static VALUE nurat_mul	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 823 of file rational.c.

References f_mul, f_muldiv(), f_to_f(), get_dat1, get_dat2, ONE, rb_num_coerce_bin(), T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_numerator ( VALUE self ) [static]

Definition at line 573 of file rational.c.

References get_dat1.

Referenced by Init_Rational().

static VALUE nurat_rationalize	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1502 of file rational.c.

References CLASS_OF, f_abs, f_add, f_eqeq_p(), f_negate, f_negative_p(), f_rational_new2(), f_sub, nurat_rationalize_internal(), and rb_scan_args().

Referenced by Init_Rational().

static void nurat_rationalize_internal	(	VALUE	a,
		VALUE	b,
		VALUE *	p,
		VALUE *	q
	)			`[static]`

Definition at line 1457 of file rational.c.

References f_add, f_ceil, f_lt_p, f_mul, f_reciprocal, f_sub, ONE, and ZERO.

Referenced by float_rationalize(), and nurat_rationalize().

static VALUE nurat_round ( VALUE self ) [static]

Definition at line 1194 of file rational.c.

References f_add, f_idiv, f_mul, f_negate, f_negative_p(), get_dat1, neg, and TWO.

Referenced by nurat_round_n().

static VALUE nurat_round_n	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1347 of file rational.c.

References f_round_common(), and nurat_round().

Referenced by Init_Rational().

static VALUE nurat_s_alloc ( VALUE klass ) [static]

Definition at line 361 of file rational.c.

References nurat_s_new_internal(), ONE, and ZERO.

Referenced by Init_Rational().

static VALUE nurat_s_canonicalize_internal	(	VALUE	klass,
		VALUE	num,
		VALUE	den
	)			`[inline, static]`

Definition at line 453 of file rational.c.

References f_cmp(), f_gcd(), f_idiv, f_negate, f_one_p(), FIX2INT, nurat_s_new_internal(), rb_raise_zerodiv, and ZERO.

Referenced by f_rational_new1(), f_rational_new2(), nurat_s_new(), and rb_rational_new().

static VALUE nurat_s_canonicalize_internal_no_reduce	(	VALUE	klass,
		VALUE	num,
		VALUE	den
	)			`[inline, static]`

Definition at line 479 of file rational.c.

References f_cmp(), f_negate, f_one_p(), FIX2INT, nurat_s_new_internal(), rb_raise_zerodiv, and ZERO.

Referenced by f_rational_new_no_reduce1(), and f_rational_new_no_reduce2().

static VALUE nurat_s_convert	(	int	argc,
		VALUE *	argv,
		VALUE	klass
	)			`[static]`

Definition at line 2181 of file rational.c.

References f_div, f_to_r, k_exact_one_p, k_exact_zero_p, k_integer_p(), k_numeric_p(), NIL_P, nurat_s_new(), rb_backref_get(), rb_backref_set(), rb_convert_type(), rb_eTypeError, rb_match_busy(), rb_raise(), rb_scan_args(), RCOMPLEX, string_to_r_strict(), T_BIGNUM, T_COMPLEX, T_FIXNUM, T_FLOAT, T_RATIONAL, T_STRING, and TYPE.

Referenced by Init_Rational(), and rb_Rational().

static VALUE nurat_s_new	(	int	argc,
		VALUE *	argv,
		VALUE	klass
	)			`[static]`

Definition at line 499 of file rational.c.

References nurat_int_value(), nurat_s_canonicalize_internal(), ONE, and rb_scan_args().

Referenced by Init_Rational(), and nurat_s_convert().

static VALUE nurat_s_new_internal	(	VALUE	klass,
		VALUE	num,
		VALUE	den
	)			`[inline, static]`

Definition at line 349 of file rational.c.

References NEWOBJ, OBJSETUP, and T_RATIONAL.

Referenced by f_rational_new_bang1(), f_rational_new_bang2(), nurat_s_alloc(), nurat_s_canonicalize_internal(), nurat_s_canonicalize_internal_no_reduce(), and rb_rational_raw().

static VALUE nurat_sub	(	VALUE	self,
		VALUE	other
	)			`[static]`

Definition at line 742 of file rational.c.

References f_addsub(), f_sub, f_to_f(), get_dat1, get_dat2, ONE, rb_num_coerce_bin(), T_BIGNUM, T_FIXNUM, T_FLOAT, T_RATIONAL, and TYPE.

Referenced by Init_Rational().

static VALUE nurat_to_f ( VALUE self ) [static]

Definition at line 1366 of file rational.c.

References get_dat1.

Referenced by Init_Rational().

static VALUE nurat_to_r ( VALUE self ) [static]

Definition at line 1384 of file rational.c.

Referenced by Init_Rational().

static VALUE nurat_to_s ( VALUE self ) [static]

Definition at line 1566 of file rational.c.

References f_format(), and f_to_s.

Referenced by Init_Rational().

static VALUE nurat_truncate ( VALUE self ) [static]

Definition at line 1185 of file rational.c.

References f_idiv, f_negate, f_negative_p(), and get_dat1.

Referenced by Init_Rational(), and nurat_truncate_n().

static VALUE nurat_truncate_n	(	int	argc,
		VALUE *	argv,
		VALUE	self
	)			`[static]`

Definition at line 1320 of file rational.c.

References f_round_common(), and nurat_truncate().

Referenced by Init_Rational().

VALUE rb_gcd	(	VALUE	self,
		VALUE	other
	)

Definition at line 1648 of file rational.c.

References f_gcd(), and nurat_int_value().

Referenced by Init_Rational().

VALUE rb_gcdlcm	(	VALUE	self,
		VALUE	other
	)

Definition at line 1687 of file rational.c.

References f_gcd(), f_lcm(), nurat_int_value(), and rb_assoc_new().

Referenced by Init_Rational().

VALUE rb_lcm	(	VALUE	self,
		VALUE	other
	)

Definition at line 1668 of file rational.c.

References f_lcm(), and nurat_int_value().

Referenced by Init_Rational(), and nucomp_denominator().

VALUE rb_Rational	(	VALUE	x,
		VALUE	y
	)

Definition at line 1708 of file rational.c.

References nurat_s_convert(), and rb_cRational.

Referenced by BigDecimal_to_r().

VALUE rb_rational_new	(	VALUE	x,
		VALUE	y
	)

Definition at line 1700 of file rational.c.

References nurat_s_canonicalize_internal(), and rb_cRational.

VALUE rb_rational_raw	(	VALUE	x,
		VALUE	y
	)

Definition at line 1694 of file rational.c.

References nurat_s_new_internal(), and rb_cRational.

VALUE rb_rational_reciprocal ( VALUE x )

Definition at line 1628 of file rational.c.

References CLASS_OF, f_rational_new_no_reduce2(), and get_dat1.

Referenced by fix_divide().

static VALUE string_to_r ( VALUE self ) [static]

Definition at line 2156 of file rational.c.

References f_gsub, INT2FIX, NIL_P, RARRAY_PTR, rb_backref_get(), rb_backref_set(), rb_eFloatDomainError, rb_match_busy(), rb_raise(), rb_rational_new1, string_to_r_internal(), T_FLOAT, and TYPE.

Referenced by Init_Rational().

static VALUE string_to_r_internal ( VALUE self ) [static]

Definition at line 2036 of file rational.c.

References count, f_add, f_div, f_expt10, f_match, f_mul, f_negate, f_split, f_to_i, LONG2NUM, NIL_P, Qnil, RARRAY_LEN, RARRAY_PTR, rb_assoc_new(), rb_isdigit(), rb_rational_new1, rb_reg_match_post(), rb_reg_nth_match(), rb_usascii_str_new2, RSTRING_LEN, RSTRING_PTR, and strchr().

Referenced by string_to_r(), and string_to_r_strict().

static VALUE string_to_r_strict ( VALUE self ) [static]

Definition at line 2118 of file rational.c.

References f_inspect, NIL_P, RARRAY_PTR, rb_eArgError, rb_raise(), RSTRING_LEN, string_to_r_internal(), and StringValuePtr.

Referenced by nurat_s_convert().

Variable Documentation

VALUE a_dot_pat [static]

Definition at line 1992 of file rational.c.

VALUE an_e_pat [static]

Definition at line 1992 of file rational.c.

VALUE an_underscore [static]

Definition at line 1992 of file rational.c.

ID id_abs [static]