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authortadf <tadf@b2dd03c8-39d4-4d8f-98ff-823fe69b080e>2008-10-28 14:11:08 +0000
committertadf <tadf@b2dd03c8-39d4-4d8f-98ff-823fe69b080e>2008-10-28 14:11:08 +0000
commit2b72e549a755dec2fbbf78199e41d4148683d025 (patch)
tree25aa67933c32d251d4a631278881fb3adde4eca6 /ext/mathn
parentd563f1680cba03335eb38bd9e7bce8b82f03e12d (diff)
* complex.c: continues to support canonicalization *unofficially*
for an odd library mathn for the time being (only 1.9.x). since grand mathn is must be very very special library for us. * rational.c: ditto. * ext/mathn/*/*: follow the above changes. git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@20001 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
Diffstat (limited to 'ext/mathn')
-rw-r--r--ext/mathn/complex/complex.c1510
-rw-r--r--ext/mathn/complex/extconf.rb2
-rw-r--r--ext/mathn/rational/extconf.rb2
-rw-r--r--ext/mathn/rational/rational.c1620
4 files changed, 4 insertions, 3130 deletions
diff --git a/ext/mathn/complex/complex.c b/ext/mathn/complex/complex.c
index 01ce7d3..5ffa591 100644
--- a/ext/mathn/complex/complex.c
+++ b/ext/mathn/complex/complex.c
@@ -1,1513 +1,7 @@
-/*
-
- complex.c of mathn version
-
- Original file is built-in complex.c:
- --
- complex.c: Coded by Tadayoshi Funaba 2008
-
- This implementation is based on Keiju Ishitsuka's Complex library
- which is written in ruby.
-*/
-
-#include "ruby.h"
-#include <math.h>
-
-#define NDEBUG
-#include <assert.h>
-
-#ifndef COMPLEX_NAME
-#define COMPLEX_NAME "Complex"
-#endif
-
-#define ZERO INT2FIX(0)
-#define ONE INT2FIX(1)
-#define TWO INT2FIX(2)
-
-#if 0
-VALUE rb_cComplex;
-#endif
-
-static ID id_abs, id_abs2, id_arg, id_cmp, id_conj, id_convert,
- id_denominator, id_divmod, id_equal_p, id_expt, id_floor, id_hash,
- id_idiv, id_inspect, id_negate, id_numerator, id_polar, id_quo,
- id_real_p, id_to_f, id_to_i, id_to_r, id_to_s;
-
-#define f_boolcast(x) ((x) ? Qtrue : Qfalse)
-
-#define binop(n,op) \
-inline static VALUE \
-f_##n(VALUE x, VALUE y)\
-{\
- return rb_funcall(x, op, 1, y);\
-}
-
-#define fun1(n) \
-inline static VALUE \
-f_##n(VALUE x)\
-{\
- return rb_funcall(x, id_##n, 0);\
-}
-
-#define fun2(n) \
-inline static VALUE \
-f_##n(VALUE x, VALUE y)\
-{\
- return rb_funcall(x, id_##n, 1, y);\
-}
-
-#define math1(n) \
-inline static VALUE \
-m_##n(VALUE x)\
-{\
- return rb_funcall(rb_mMath, id_##n, 1, x);\
-}
-
-#define math2(n) \
-inline static VALUE \
-m_##n(VALUE x, VALUE y)\
-{\
- return rb_funcall(rb_mMath, id_##n, 2, x, y);\
-}
-
-#define PRESERVE_SIGNEDZERO
-
-inline static VALUE
-f_add(VALUE x, VALUE y)
-{
-#ifndef PRESERVE_SIGNEDZERO
- if (FIXNUM_P(y) && FIX2LONG(y) == 0)
- return x;
- else if (FIXNUM_P(x) && FIX2LONG(x) == 0)
- return y;
-#endif
- return rb_funcall(x, '+', 1, y);
-}
-
-inline static VALUE
-f_cmp(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y)) {
- long c = FIX2LONG(x) - FIX2LONG(y);
- if (c > 0)
- c = 1;
- else if (c < 0)
- c = -1;
- return INT2FIX(c);
- }
- return rb_funcall(x, id_cmp, 1, y);
-}
-
-inline static VALUE
-f_div(VALUE x, VALUE y)
-{
- if (FIXNUM_P(y) && FIX2LONG(y) == 1)
- return x;
- return rb_funcall(x, '/', 1, y);
-}
-
-inline static VALUE
-f_gt_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) > FIX2LONG(y));
- return rb_funcall(x, '>', 1, y);
-}
-
-inline static VALUE
-f_lt_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) < FIX2LONG(y));
- return rb_funcall(x, '<', 1, y);
-}
-
-binop(mod, '%')
-
-inline static VALUE
-f_mul(VALUE x, VALUE y)
-{
-#ifndef PRESERVE_SIGNEDZERO
- if (FIXNUM_P(y)) {
- long iy = FIX2LONG(y);
- if (iy == 0) {
- if (FIXNUM_P(x) || TYPE(x) == T_BIGNUM)
- return ZERO;
- }
- else if (iy == 1)
- return x;
- }
- else if (FIXNUM_P(x)) {
- long ix = FIX2LONG(x);
- if (ix == 0) {
- if (FIXNUM_P(y) || TYPE(y) == T_BIGNUM)
- return ZERO;
- }
- else if (ix == 1)
- return y;
- }
-#endif
- return rb_funcall(x, '*', 1, y);
-}
-
-inline static VALUE
-f_sub(VALUE x, VALUE y)
-{
-#ifndef PRESERVE_SIGNEDZERO
- if (FIXNUM_P(y) && FIX2LONG(y) == 0)
- return x;
-#endif
- return rb_funcall(x, '-', 1, y);
-}
-
-binop(xor, '^')
-
-fun1(abs)
-fun1(abs2)
-fun1(arg)
-fun1(conj)
-fun1(denominator)
-fun1(floor)
-fun1(hash)
-fun1(inspect)
-fun1(negate)
-fun1(numerator)
-fun1(polar)
-fun1(real_p)
-
-fun1(to_f)
-fun1(to_i)
-fun1(to_r)
-fun1(to_s)
-
-fun2(divmod)
-
-inline static VALUE
-f_equal_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) == FIX2LONG(y));
- return rb_funcall(x, id_equal_p, 1, y);
-}
-
-fun2(expt)
-fun2(idiv)
-fun2(quo)
-
-inline static VALUE
-f_negative_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) < 0);
- return rb_funcall(x, '<', 1, ZERO);
-}
-
-#define f_positive_p(x) (!f_negative_p(x))
-
-inline static VALUE
-f_zero_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) == 0);
- return rb_funcall(x, id_equal_p, 1, ZERO);
-}
-
-#define f_nonzero_p(x) (!f_zero_p(x))
-
-inline static VALUE
-f_one_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) == 1);
- return rb_funcall(x, id_equal_p, 1, ONE);
-}
-
-inline static VALUE
-f_kind_of_p(VALUE x, VALUE c)
-{
- return rb_obj_is_kind_of(x, c);
-}
-
-inline static VALUE
-k_numeric_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cNumeric);
-}
-
-inline static VALUE
-k_integer_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cInteger);
-}
-
-inline static VALUE
-k_float_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cFloat);
-}
-
-inline static VALUE
-k_rational_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cRational);
-}
-
-inline static VALUE
-k_complex_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cComplex);
-}
-
-#define k_exact_p(x) (!k_float_p(x))
-#define k_inexact_p(x) k_float_p(x)
-
-#define get_dat1(x) \
- struct RComplex *dat;\
- dat = ((struct RComplex *)(x))
-
-#define get_dat2(x,y) \
- struct RComplex *adat, *bdat;\
- adat = ((struct RComplex *)(x));\
- bdat = ((struct RComplex *)(y))
-
-inline static VALUE
-nucomp_s_new_internal(VALUE klass, VALUE real, VALUE imag)
-{
- NEWOBJ(obj, struct RComplex);
- OBJSETUP(obj, klass, T_COMPLEX);
-
- obj->real = real;
- obj->imag = imag;
-
- return (VALUE)obj;
-}
-
-static VALUE
-nucomp_s_alloc(VALUE klass)
-{
- return nucomp_s_new_internal(klass, ZERO, ZERO);
-}
-
-#if 0
-static VALUE
-nucomp_s_new_bang(int argc, VALUE *argv, VALUE klass)
-{
- VALUE real, imag;
-
- switch (rb_scan_args(argc, argv, "11", &real, &imag)) {
- case 1:
- if (!k_numeric_p(real))
- real = f_to_i(real);
- imag = ZERO;
- break;
- default:
- if (!k_numeric_p(real))
- real = f_to_i(real);
- if (!k_numeric_p(imag))
- imag = f_to_i(imag);
- break;
- }
-
- return nucomp_s_new_internal(klass, real, imag);
-}
-#endif
-
-inline static VALUE
-f_complex_new_bang1(VALUE klass, VALUE x)
-{
- assert(!k_complex_p(x));
- return nucomp_s_new_internal(klass, x, ZERO);
-}
-
-inline static VALUE
-f_complex_new_bang2(VALUE klass, VALUE x, VALUE y)
-{
- assert(!k_complex_p(x));
- assert(!k_complex_p(y));
- return nucomp_s_new_internal(klass, x, y);
-}
-
-#ifndef EXT_MATHN
-#define f_unify_p(klass) rb_const_defined(klass, id_Unify)
-#else
-#define f_unify_p(klass) 1
-#endif
-
-inline static void
-nucomp_real_check(VALUE num)
-{
- switch (TYPE(num)) {
- case T_FIXNUM:
- case T_BIGNUM:
- case T_FLOAT:
- case T_RATIONAL:
- break;
- default:
- if (!k_numeric_p(num) || !f_real_p(num))
- rb_raise(rb_eArgError, "not a real");
- }
-}
-
-inline static VALUE
-nucomp_s_canonicalize_internal(VALUE klass, VALUE real, VALUE imag)
-{
-#ifdef CANON
-#define CL_CANON
-#ifdef CL_CANON
- if (f_zero_p(imag) && k_exact_p(imag) && f_unify_p(klass))
- return real;
-#else
- if (f_zero_p(imag) && f_unify_p(klass))
- return real;
-#endif
-#endif
- if (f_real_p(real) && f_real_p(imag))
- return nucomp_s_new_internal(klass, real, imag);
- else if (f_real_p(real)) {
- get_dat1(imag);
-
- return nucomp_s_new_internal(klass,
- f_sub(real, dat->imag),
- f_add(ZERO, dat->real));
- }
- else if (f_real_p(imag)) {
- get_dat1(real);
-
- return nucomp_s_new_internal(klass,
- dat->real,
- f_add(dat->imag, imag));
- }
- else {
- get_dat2(real, imag);
-
- return nucomp_s_new_internal(klass,
- f_sub(adat->real, bdat->imag),
- f_add(adat->imag, bdat->real));
- }
-}
-
-static VALUE
-nucomp_s_new(int argc, VALUE *argv, VALUE klass)
-{
- VALUE real, imag;
-
- switch (rb_scan_args(argc, argv, "11", &real, &imag)) {
- case 1:
- nucomp_real_check(real);
- imag = ZERO;
- break;
- default:
- nucomp_real_check(real);
- nucomp_real_check(imag);
- break;
- }
-
- return nucomp_s_canonicalize_internal(klass, real, imag);
-}
-
-inline static VALUE
-f_complex_new1(VALUE klass, VALUE x)
-{
- assert(!k_complex_p(x));
- return nucomp_s_canonicalize_internal(klass, x, ZERO);
-}
-
-inline static VALUE
-f_complex_new2(VALUE klass, VALUE x, VALUE y)
-{
- assert(!k_complex_p(x));
- return nucomp_s_canonicalize_internal(klass, x, y);
-}
-
-static VALUE
-nucomp_f_complex(int argc, VALUE *argv, VALUE klass)
-{
- return rb_funcall2(rb_cComplex, id_convert, argc, argv);
-}
-
-extern VALUE math_atan2(VALUE obj, VALUE x, VALUE y);
-extern VALUE math_cos(VALUE obj, VALUE x);
-extern VALUE math_cosh(VALUE obj, VALUE x);
-extern VALUE math_exp(VALUE obj, VALUE x);
-extern VALUE math_hypot(VALUE obj, VALUE x, VALUE y);
-extern VALUE math_log(int argc, VALUE *argv);
-extern VALUE math_sin(VALUE obj, VALUE x);
-extern VALUE math_sinh(VALUE obj, VALUE x);
-extern VALUE math_sqrt(VALUE obj, VALUE x);
-
-#define m_atan2_bang(x,y) math_atan2(Qnil,x,y)
-#define m_cos_bang(x) math_cos(Qnil,x)
-#define m_cosh_bang(x) math_cosh(Qnil,x)
-#define m_exp_bang(x) math_exp(Qnil,x)
-#define m_hypot(x,y) math_hypot(Qnil,x,y)
-
-static VALUE
-m_log_bang(VALUE x)
-{
- return math_log(1, &x);
-}
-
-#define m_sin_bang(x) math_sin(Qnil,x)
-#define m_sinh_bang(x) math_sinh(Qnil,x)
-#define m_sqrt_bang(x) math_sqrt(Qnil,x)
-
-static VALUE
-m_cos(VALUE x)
-{
- if (f_real_p(x))
- return m_cos_bang(x);
- {
- get_dat1(x);
- return f_complex_new2(rb_cComplex,
- f_mul(m_cos_bang(dat->real),
- m_cosh_bang(dat->imag)),
- f_mul(f_negate(m_sin_bang(dat->real)),
- m_sinh_bang(dat->imag)));
- }
-}
-
-static VALUE
-m_sin(VALUE x)
-{
- if (f_real_p(x))
- return m_sin_bang(x);
- {
- get_dat1(x);
- return f_complex_new2(rb_cComplex,
- f_mul(m_sin_bang(dat->real),
- m_cosh_bang(dat->imag)),
- f_mul(m_cos_bang(dat->real),
- m_sinh_bang(dat->imag)));
- }
-}
-
-#if 0
-static VALUE
-m_sqrt(VALUE x)
-{
- if (f_real_p(x)) {
- if (f_positive_p(x))
- return m_sqrt_bang(x);
- return f_complex_new2(rb_cComplex, ZERO, m_sqrt_bang(f_negate(x)));
- }
- else {
- get_dat1(x);
-
- if (f_negative_p(dat->imag))
- return f_conj(m_sqrt(f_conj(x)));
- else {
- VALUE a = f_abs(x);
- return f_complex_new2(rb_cComplex,
- m_sqrt_bang(f_div(f_add(a, dat->real), TWO)),
- m_sqrt_bang(f_div(f_sub(a, dat->real), TWO)));
- }
- }
-}
-#endif
-
-inline static VALUE
-f_complex_polar(VALUE klass, VALUE x, VALUE y)
-{
- assert(!k_complex_p(x));
- assert(!k_complex_p(y));
- return nucomp_s_canonicalize_internal(klass,
- f_mul(x, m_cos(y)),
- f_mul(x, m_sin(y)));
-}
-
-static VALUE
-nucomp_s_polar(VALUE klass, VALUE abs, VALUE arg)
-{
- return f_complex_polar(klass, abs, arg);
-}
-
-static VALUE
-nucomp_real(VALUE self)
-{
- get_dat1(self);
- return dat->real;
-}
-
-static VALUE
-nucomp_imag(VALUE self)
-{
- get_dat1(self);
- return dat->imag;
-}
-
-static VALUE
-nucomp_negate(VALUE self)
-{
- get_dat1(self);
- return f_complex_new2(CLASS_OF(self),
- f_negate(dat->real), f_negate(dat->imag));
-}
-
-static VALUE
-nucomp_add(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- VALUE real, imag;
-
- get_dat2(self, other);
-
- real = f_add(adat->real, bdat->real);
- imag = f_add(adat->imag, bdat->imag);
-
- return f_complex_new2(CLASS_OF(self), real, imag);
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- get_dat1(self);
-
- return f_complex_new2(CLASS_OF(self),
- f_add(dat->real, other), dat->imag);
- }
- return rb_num_coerce_bin(self, other, '+');
-}
-
-static VALUE
-nucomp_sub(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- VALUE real, imag;
-
- get_dat2(self, other);
-
- real = f_sub(adat->real, bdat->real);
- imag = f_sub(adat->imag, bdat->imag);
-
- return f_complex_new2(CLASS_OF(self), real, imag);
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- get_dat1(self);
-
- return f_complex_new2(CLASS_OF(self),
- f_sub(dat->real, other), dat->imag);
- }
- return rb_num_coerce_bin(self, other, '-');
-}
-
-static VALUE
-nucomp_mul(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- VALUE real, imag;
-
- get_dat2(self, other);
-
- real = f_sub(f_mul(adat->real, bdat->real),
- f_mul(adat->imag, bdat->imag));
- imag = f_add(f_mul(adat->real, bdat->imag),
- f_mul(adat->imag, bdat->real));
-
- return f_complex_new2(CLASS_OF(self), real, imag);
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- get_dat1(self);
-
- return f_complex_new2(CLASS_OF(self),
- f_mul(dat->real, other),
- f_mul(dat->imag, other));
- }
- return rb_num_coerce_bin(self, other, '*');
-}
-
-#define f_div f_quo
-
-static VALUE
-nucomp_div(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- get_dat2(self, other);
-
- if (TYPE(adat->real) == T_FLOAT ||
- TYPE(adat->imag) == T_FLOAT ||
- TYPE(bdat->real) == T_FLOAT ||
- TYPE(bdat->imag) == T_FLOAT) {
- VALUE magn = m_hypot(bdat->real, bdat->imag);
- VALUE tmp = f_complex_new_bang2(CLASS_OF(self),
- f_div(bdat->real, magn),
- f_div(bdat->imag, magn));
- return f_div(f_mul(self, f_conj(tmp)), magn);
- }
- return f_div(f_mul(self, f_conj(other)), f_abs2(other));
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- get_dat1(self);
-
- return f_complex_new2(CLASS_OF(self),
- f_div(dat->real, other),
- f_div(dat->imag, other));
- }
- return rb_num_coerce_bin(self, other, '/');
-}
-
-#undef f_div
-#define nucomp_quo nucomp_div
-
-static VALUE
-nucomp_fdiv(VALUE self, VALUE other)
-{
- get_dat1(self);
-
- return f_div(f_complex_new2(CLASS_OF(self),
- f_to_f(dat->real),
- f_to_f(dat->imag)), other);
-}
-
-static VALUE
-nucomp_expt(VALUE self, VALUE other)
-{
- if (k_exact_p(other) && f_zero_p(other))
- return f_complex_new_bang1(CLASS_OF(self), ONE);
-
- if (k_rational_p(other) && f_one_p(f_denominator(other)))
- other = f_numerator(other); /* good? */
-
- if (k_complex_p(other)) {
- VALUE a, r, theta, ore, oim, nr, ntheta;
-
- get_dat1(other);
-
- a = f_polar(self);
- r = RARRAY_PTR(a)[0];
- theta = RARRAY_PTR(a)[1];
-
- ore = dat->real;
- oim = dat->imag;
- nr = m_exp_bang(f_sub(f_mul(ore, m_log_bang(r)),
- f_mul(oim, theta)));
- ntheta = f_add(f_mul(theta, ore), f_mul(oim, m_log_bang(r)));
- return f_complex_polar(CLASS_OF(self), nr, ntheta);
- }
- if (k_integer_p(other)) {
- if (f_gt_p(other, ZERO)) {
- VALUE x, z, n;
-
- x = self;
- z = x;
- n = f_sub(other, ONE);
-
- while (f_nonzero_p(n)) {
- VALUE a;
-
- while (a = f_divmod(n, TWO),
- f_zero_p(RARRAY_PTR(a)[1])) {
- get_dat1(x);
-
- x = f_complex_new2(CLASS_OF(self),
- f_sub(f_mul(dat->real, dat->real),
- f_mul(dat->imag, dat->imag)),
- f_mul(f_mul(TWO, dat->real), dat->imag));
- n = RARRAY_PTR(a)[0];
- }
- z = f_mul(z, x);
- n = f_sub(n, ONE);
- }
- return z;
- }
- return f_expt(f_div(f_to_r(ONE), self), f_negate(other));
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- VALUE a, r, theta;
-
- a = f_polar(self);
- r = RARRAY_PTR(a)[0];
- theta = RARRAY_PTR(a)[1];
- return f_complex_polar(CLASS_OF(self), f_expt(r, other),
- f_mul(theta, other));
- }
- return rb_num_coerce_bin(self, other, id_expt);
-}
-
-static VALUE
-nucomp_equal_p(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- get_dat2(self, other);
-
- return f_boolcast(f_equal_p(adat->real, bdat->real) &&
- f_equal_p(adat->imag, bdat->imag));
- }
- if (k_numeric_p(other) && f_real_p(other)) {
- get_dat1(self);
-
- return f_boolcast(f_equal_p(dat->real, other) && f_zero_p(dat->imag));
- }
- return f_equal_p(other, self);
-}
-
-static VALUE
-nucomp_coerce(VALUE self, VALUE other)
-{
- if (k_numeric_p(other) && f_real_p(other))
- return rb_assoc_new(f_complex_new_bang1(CLASS_OF(self), other), self);
-
- rb_raise(rb_eTypeError, "%s can't be coerced into %s",
- rb_obj_classname(other), rb_obj_classname(self));
- return Qnil;
-}
-
-static VALUE
-nucomp_abs(VALUE self)
-{
- get_dat1(self);
- return m_hypot(dat->real, dat->imag);
-}
-
-static VALUE
-nucomp_abs2(VALUE self)
-{
- get_dat1(self);
- return f_add(f_mul(dat->real, dat->real),
- f_mul(dat->imag, dat->imag));
-}
-
-static VALUE
-nucomp_arg(VALUE self)
-{
- get_dat1(self);
- return m_atan2_bang(dat->imag, dat->real);
-}
-
-static VALUE
-nucomp_rect(VALUE self)
-{
- get_dat1(self);
- return rb_assoc_new(dat->real, dat->imag);
-}
-
-static VALUE
-nucomp_polar(VALUE self)
-{
- return rb_assoc_new(f_abs(self), f_arg(self));
-}
-
-static VALUE
-nucomp_conj(VALUE self)
-{
- get_dat1(self);
- return f_complex_new2(CLASS_OF(self), dat->real, f_negate(dat->imag));
-}
-
-#if 0
-static VALUE
-nucomp_true(VALUE self)
-{
- return Qtrue;
-}
-#endif
-
-static VALUE
-nucomp_false(VALUE self)
-{
- return Qfalse;
-}
-
-#if 0
-static VALUE
-nucomp_exact_p(VALUE self)
-{
- get_dat1(self);
- return f_boolcast(f_exact_p(dat->real) && f_exact_p(dat->imag));
-}
-
-static VALUE
-nucomp_inexact_p(VALUE self)
-{
- return f_boolcast(!nucomp_exact_p(self));
-}
-#endif
-
-extern VALUE rb_lcm(VALUE x, VALUE y);
-
-static VALUE
-nucomp_denominator(VALUE self)
-{
- get_dat1(self);
- return rb_lcm(f_denominator(dat->real), f_denominator(dat->imag));
-}
-
-static VALUE
-nucomp_numerator(VALUE self)
-{
- VALUE cd;
-
- get_dat1(self);
-
- cd = f_denominator(self);
- return f_complex_new2(CLASS_OF(self),
- f_mul(f_numerator(dat->real),
- f_div(cd, f_denominator(dat->real))),
- f_mul(f_numerator(dat->imag),
- f_div(cd, f_denominator(dat->imag))));
-}
-
-static VALUE
-nucomp_hash(VALUE self)
-{
- get_dat1(self);
- return f_xor(f_hash(dat->real), f_hash(dat->imag));
-}
-
-static VALUE
-nucomp_eql_p(VALUE self, VALUE other)
-{
- if (k_complex_p(other)) {
- get_dat2(self, other);
-
- return f_boolcast((CLASS_OF(adat->real) == CLASS_OF(bdat->real)) &&
- (CLASS_OF(adat->imag) == CLASS_OF(bdat->imag)) &&
- f_equal_p(self, other));
-
- }
- return Qfalse;
-}
-
-#ifndef HAVE_SIGNBIT
-#ifdef signbit
-#define HAVE_SIGNBIT 1
-#endif
-#endif
-
-inline static VALUE
-f_signbit(VALUE x)
-{
- switch (TYPE(x)) {
- case T_FLOAT:
-#ifdef HAVE_SIGNBIT
- return f_boolcast(signbit(RFLOAT_VALUE(x)));
-#else
- {
- char s[2];
-
- (void)snprintf(s, sizeof s, "%.0f", RFLOAT_VALUE(x));
-
- return f_boolcast(s[0] == '-');
- }
-#endif
- }
- return f_negative_p(x);
-}
-
-inline static VALUE
-f_tpositive_p(VALUE x)
-{
- return f_boolcast(!f_signbit(x));
-}
-
-static VALUE
-nucomp_to_s(VALUE self)
-{
- VALUE s, impos;
-
- get_dat1(self);
-
- impos = f_tpositive_p(dat->imag);
-
- s = f_to_s(dat->real);
- rb_str_cat2(s, !impos ? "-" : "+");
-
- rb_str_concat(s, f_to_s(f_abs(dat->imag)));
- rb_str_cat2(s, "i");
-
- return s;
-}
-
-static VALUE
-nucomp_inspect(VALUE self)
-{
- VALUE s, impos;
-
- get_dat1(self);
-
- impos = f_tpositive_p(dat->imag);
-
- s = rb_str_new2("(");
- rb_str_concat(s, f_inspect(dat->real));
- rb_str_cat2(s, !impos ? "-" : "+");
-
- rb_str_concat(s, f_inspect(f_abs(dat->imag)));
- rb_str_cat2(s, "i)");
-
- return s;
-}
-
-static VALUE
-nucomp_marshal_dump(VALUE self)
-{
- VALUE a;
- get_dat1(self);
-
- a = rb_assoc_new(dat->real, dat->imag);
- rb_copy_generic_ivar(a, self);
- return a;
-}
-
-static VALUE
-nucomp_marshal_load(VALUE self, VALUE a)
-{
- get_dat1(self);
- dat->real = RARRAY_PTR(a)[0];
- dat->imag = RARRAY_PTR(a)[1];
- rb_copy_generic_ivar(self, a);
- return self;
-}
-
-/* --- */
-
-VALUE
-rb_complex_raw(VALUE x, VALUE y)
-{
- return nucomp_s_new_internal(rb_cComplex, x, y);
-}
-
-VALUE
-rb_complex_new(VALUE x, VALUE y)
-{
- return nucomp_s_canonicalize_internal(rb_cComplex, x, y);
-}
-
-VALUE
-rb_complex_polar(VALUE x, VALUE y)
-{
- return nucomp_s_polar(rb_cComplex, x, y);
-}
-
-static VALUE nucomp_s_convert(int argc, VALUE *argv, VALUE klass);
-
-VALUE
-rb_Complex(VALUE x, VALUE y)
-{
- VALUE a[2];
- a[0] = x;
- a[1] = y;
- return nucomp_s_convert(2, a, rb_cComplex);
-}
-
-static VALUE
-nucomp_to_i(VALUE self)
-{
- get_dat1(self);
-
- if (k_inexact_p(dat->imag) || f_nonzero_p(dat->imag)) {
- VALUE s = f_to_s(self);
- rb_raise(rb_eRangeError, "can't convert %s into Integer",
- StringValuePtr(s));
- }
- return f_to_i(dat->real);
-}
-
-static VALUE
-nucomp_to_f(VALUE self)
-{
- get_dat1(self);
-
- if (k_inexact_p(dat->imag) || f_nonzero_p(dat->imag)) {
- VALUE s = f_to_s(self);
- rb_raise(rb_eRangeError, "can't convert %s into Float",
- StringValuePtr(s));
- }
- return f_to_f(dat->real);
-}
-
-static VALUE
-nucomp_to_r(VALUE self)
-{
- get_dat1(self);
-
- if (k_inexact_p(dat->imag) || f_nonzero_p(dat->imag)) {
- VALUE s = f_to_s(self);
- rb_raise(rb_eRangeError, "can't convert %s into Rational",
- StringValuePtr(s));
- }
- return f_to_r(dat->real);
-}
-
-static VALUE
-nilclass_to_c(VALUE self)
-{
- return rb_complex_new1(INT2FIX(0));
-}
-
-static VALUE
-numeric_to_c(VALUE self)
-{
- return rb_complex_new1(self);
-}
-
-static VALUE comp_pat0, comp_pat1, comp_pat2, a_slash, a_dot_and_an_e,
- null_string, underscores_pat, an_underscore;
-
-#define WS "\\s*"
-#define DIGITS "(?:\\d(?:_\\d|\\d)*)"
-#define NUMERATOR "(?:" DIGITS "?\\.)?" DIGITS "(?:[eE][-+]?" DIGITS ")?"
-#define DENOMINATOR DIGITS
-#define NUMBER "[-+]?" NUMERATOR "(?:\\/" DENOMINATOR ")?"
-#define NUMBERNOS NUMERATOR "(?:\\/" DENOMINATOR ")?"
-#define PATTERN0 "\\A" WS "(" NUMBER ")@(" NUMBER ")" WS
-#define PATTERN1 "\\A" WS "([-+])?(" NUMBER ")?[iIjJ]" WS
-#define PATTERN2 "\\A" WS "(" NUMBER ")(([-+])(" NUMBERNOS ")?[iIjJ])?" WS
-
-static void
-make_patterns(void)
-{
- static const char comp_pat0_source[] = PATTERN0;
- static const char comp_pat1_source[] = PATTERN1;
- static const char comp_pat2_source[] = PATTERN2;
- static const char underscores_pat_source[] = "_+";
-
- if (comp_pat0) return;
-
- comp_pat0 = rb_reg_new(comp_pat0_source, sizeof comp_pat0_source - 1, 0);
- rb_gc_register_mark_object(comp_pat0);
-
- comp_pat1 = rb_reg_new(comp_pat1_source, sizeof comp_pat1_source - 1, 0);
- rb_gc_register_mark_object(comp_pat1);
-
- comp_pat2 = rb_reg_new(comp_pat2_source, sizeof comp_pat2_source - 1, 0);
- rb_gc_register_mark_object(comp_pat2);
-
- a_slash = rb_str_new2("/");
- rb_gc_register_mark_object(a_slash);
-
- a_dot_and_an_e = rb_str_new2(".eE");
- rb_gc_register_mark_object(a_dot_and_an_e);
-
- null_string = rb_str_new2("");
- rb_gc_register_mark_object(null_string);
-
- underscores_pat = rb_reg_new(underscores_pat_source,
- sizeof underscores_pat_source - 1, 0);
- rb_gc_register_mark_object(underscores_pat);
-
- an_underscore = rb_str_new2("_");
- rb_gc_register_mark_object(an_underscore);
-}
-
-#define id_match rb_intern("match")
-#define f_match(x,y) rb_funcall(x, id_match, 1, y)
-
-#define id_aref rb_intern("[]")
-#define f_aref(x,y) rb_funcall(x, id_aref, 1, y)
-
-#define id_post_match rb_intern("post_match")
-#define f_post_match(x) rb_funcall(x, id_post_match, 0)
-
-#define id_split rb_intern("split")
-#define f_split(x,y) rb_funcall(x, id_split, 1, y)
-
-#define id_include_p rb_intern("include?")
-#define f_include_p(x,y) rb_funcall(x, id_include_p, 1, y)
-
-#define id_count rb_intern("count")
-#define f_count(x,y) rb_funcall(x, id_count, 1, y)
-
-#define id_gsub_bang rb_intern("gsub!")
-#define f_gsub_bang(x,y,z) rb_funcall(x, id_gsub_bang, 2, y, z)
-
-static VALUE
-string_to_c_internal(VALUE self)
-{
- VALUE s;
-
- s = self;
-
- if (RSTRING_LEN(s) == 0)
- return rb_assoc_new(Qnil, self);
-
- {
- VALUE m, sr, si, re, r, i;
- int po;
-
- m = f_match(comp_pat0, s);
- if (!NIL_P(m)) {
- sr = f_aref(m, INT2FIX(1));
- si = f_aref(m, INT2FIX(2));
- re = f_post_match(m);
- po = 1;
- }
- if (NIL_P(m)) {
- m = f_match(comp_pat1, s);
- if (!NIL_P(m)) {
- sr = Qnil;
- si = f_aref(m, INT2FIX(1));
- if (NIL_P(si))
- si = rb_str_new2("");
- {
- VALUE t;
-
- t = f_aref(m, INT2FIX(2));
- if (NIL_P(t))
- t = rb_str_new2("1");
- rb_str_concat(si, t);
- }
- re = f_post_match(m);
- po = 0;
- }
- }
- if (NIL_P(m)) {
- m = f_match(comp_pat2, s);
- if (NIL_P(m))
- return rb_assoc_new(Qnil, self);
- sr = f_aref(m, INT2FIX(1));
- if (NIL_P(f_aref(m, INT2FIX(2))))
- si = Qnil;
- else {
- VALUE t;
-
- si = f_aref(m, INT2FIX(3));
- t = f_aref(m, INT2FIX(4));
- if (NIL_P(t))
- t = rb_str_new2("1");
- rb_str_concat(si, t);
- }
- re = f_post_match(m);
- po = 0;
- }
- r = INT2FIX(0);
- i = INT2FIX(0);
- if (!NIL_P(sr)) {
- if (f_include_p(sr, a_slash))
- r = f_to_r(sr);
- else if (f_gt_p(f_count(sr, a_dot_and_an_e), INT2FIX(0)))
- r = f_to_f(sr);
- else
- r = f_to_i(sr);
- }
- if (!NIL_P(si)) {
- if (f_include_p(si, a_slash))
- i = f_to_r(si);
- else if (f_gt_p(f_count(si, a_dot_and_an_e), INT2FIX(0)))
- i = f_to_f(si);
- else
- i = f_to_i(si);
- }
- if (po)
- return rb_assoc_new(rb_complex_polar(r, i), re);
- else
- return rb_assoc_new(rb_complex_new2(r, i), re);
- }
-}
-
-static VALUE
-string_to_c_strict(VALUE self)
-{
- VALUE a = string_to_c_internal(self);
- if (NIL_P(RARRAY_PTR(a)[0]) || RSTRING_LEN(RARRAY_PTR(a)[1]) > 0) {
- VALUE s = f_inspect(self);
- rb_raise(rb_eArgError, "invalid value for Complex: %s",
- StringValuePtr(s));
- }
- return RARRAY_PTR(a)[0];
-}
-
-#define id_gsub rb_intern("gsub")
-#define f_gsub(x,y,z) rb_funcall(x, id_gsub, 2, y, z)
-
-static VALUE
-string_to_c(VALUE self)
-{
- VALUE s, a, backref;
-
- backref = rb_backref_get();
- rb_match_busy(backref);
-
- s = f_gsub(self, underscores_pat, an_underscore);
- a = string_to_c_internal(s);
-
- rb_backref_set(backref);
-
- if (!NIL_P(RARRAY_PTR(a)[0]))
- return RARRAY_PTR(a)[0];
- return rb_complex_new1(INT2FIX(0));
-}
-
-static VALUE
-nucomp_s_convert(int argc, VALUE *argv, VALUE klass)
-{
- VALUE a1, a2, backref;
-
- rb_scan_args(argc, argv, "11", &a1, &a2);
-
- backref = rb_backref_get();
- rb_match_busy(backref);
-
- switch (TYPE(a1)) {
- case T_FIXNUM:
- case T_BIGNUM:
- case T_FLOAT:
- break;
- case T_STRING:
- a1 = string_to_c_strict(a1);
- break;
- }
-
- switch (TYPE(a2)) {
- case T_FIXNUM:
- case T_BIGNUM:
- case T_FLOAT:
- break;
- case T_STRING:
- a2 = string_to_c_strict(a2);
- break;
- }
-
- rb_backref_set(backref);
-
- switch (TYPE(a1)) {
- case T_COMPLEX:
- {
- get_dat1(a1);
-
- if (k_exact_p(dat->imag) && f_zero_p(dat->imag))
- a1 = dat->real;
- }
- }
-
- switch (TYPE(a2)) {
- case T_COMPLEX:
- {
- get_dat1(a2);
-
- if (k_exact_p(dat->imag) && f_zero_p(dat->imag))
- a2 = dat->real;
- }
- }
-
- switch (TYPE(a1)) {
- case T_COMPLEX:
- if (argc == 1 || (k_exact_p(a2) && f_zero_p(a2)))
- return a1;
- }
-
- if (argc == 1) {
- if (k_numeric_p(a1) && !f_real_p(a1))
- return a1;
- }
- else {
- if ((k_numeric_p(a1) && k_numeric_p(a2)) &&
- (!f_real_p(a1) || !f_real_p(a2)))
- return f_add(a1,
- f_mul(a2,
- f_complex_new_bang2(rb_cComplex, ZERO, ONE)));
- }
-
- {
- VALUE argv2[2];
- argv2[0] = a1;
- argv2[1] = a2;
- return nucomp_s_new(argc, argv2, klass);
- }
-}
-
-/* --- */
-
-static VALUE
-numeric_real(VALUE self)
-{
- return self;
-}
-
-static VALUE
-numeric_imag(VALUE self)
-{
- return INT2FIX(0);
-}
-
-static VALUE
-numeric_abs2(VALUE self)
-{
- return f_mul(self, self);
-}
-
-#define id_PI rb_intern("PI")
-
-static VALUE
-numeric_arg(VALUE self)
-{
- if (f_positive_p(self))
- return INT2FIX(0);
- return rb_const_get(rb_mMath, id_PI);
-}
-
-static VALUE
-numeric_rect(VALUE self)
-{
- return rb_assoc_new(self, INT2FIX(0));
-}
-
-static VALUE
-numeric_polar(VALUE self)
-{
- return rb_assoc_new(f_abs(self), f_arg(self));
-}
-
-static VALUE
-numeric_conj(VALUE self)
-{
- return self;
-}
+extern void nucomp_canonicalize(int);
void
-#ifndef EXT_MATHN
-Init_Complex(void)
-#else
Init_complex(void)
-#endif
{
-#undef rb_intern
-#define rb_intern(str) rb_intern_const(str)
-
- assert(fprintf(stderr, "assert() is now active\n"));
-
- id_abs = rb_intern("abs");
- id_abs2 = rb_intern("abs2");
- id_arg = rb_intern("arg");
- id_cmp = rb_intern("<=>");
- id_conj = rb_intern("conj");
- id_convert = rb_intern("convert");
- id_denominator = rb_intern("denominator");
- id_divmod = rb_intern("divmod");
- id_equal_p = rb_intern("==");
- id_expt = rb_intern("**");
- id_floor = rb_intern("floor");
- id_hash = rb_intern("hash");
- id_idiv = rb_intern("div");
- id_inspect = rb_intern("inspect");
- id_negate = rb_intern("-@");
- id_numerator = rb_intern("numerator");
- id_polar = rb_intern("polar");
- id_quo = rb_intern("quo");
- id_real_p = rb_intern("real?");
- id_to_f = rb_intern("to_f");
- id_to_i = rb_intern("to_i");
- id_to_r = rb_intern("to_r");
- id_to_s = rb_intern("to_s");
-
- rb_cComplex = rb_define_class(COMPLEX_NAME, rb_cNumeric);
-
- rb_define_alloc_func(rb_cComplex, nucomp_s_alloc);
- rb_undef_method(CLASS_OF(rb_cComplex), "allocate");
-
-#if 0
- rb_define_private_method(CLASS_OF(rb_cComplex), "new!", nucomp_s_new_bang, -1);
- rb_define_private_method(CLASS_OF(rb_cComplex), "new", nucomp_s_new, -1);
-#else
- rb_undef_method(CLASS_OF(rb_cComplex), "new");
-#endif
-
- rb_define_singleton_method(rb_cComplex, "rectangular", nucomp_s_new, -1);
- rb_define_singleton_method(rb_cComplex, "rect", nucomp_s_new, -1);
- rb_define_singleton_method(rb_cComplex, "polar", nucomp_s_polar, 2);
-
- rb_define_global_function(COMPLEX_NAME, nucomp_f_complex, -1);
-
- rb_undef_method(rb_cComplex, "<");
- rb_undef_method(rb_cComplex, "<=");
- rb_undef_method(rb_cComplex, "<=>");
- rb_undef_method(rb_cComplex, ">");
- rb_undef_method(rb_cComplex, ">=");
- rb_undef_method(rb_cComplex, "between?");
- rb_undef_method(rb_cComplex, "divmod");
- rb_undef_method(rb_cComplex, "floor");
- rb_undef_method(rb_cComplex, "ceil");
- rb_undef_method(rb_cComplex, "modulo");
- rb_undef_method(rb_cComplex, "round");
- rb_undef_method(rb_cComplex, "step");
- rb_undef_method(rb_cComplex, "truncate");
-
-#if NUBY
- rb_undef_method(rb_cComplex, "//");
-#endif
-
- rb_define_method(rb_cComplex, "real", nucomp_real, 0);
- rb_define_method(rb_cComplex, "imaginary", nucomp_imag, 0);
- rb_define_method(rb_cComplex, "imag", nucomp_imag, 0);
-
- rb_define_method(rb_cComplex, "-@", nucomp_negate, 0);
- rb_define_method(rb_cComplex, "+", nucomp_add, 1);
- rb_define_method(rb_cComplex, "-", nucomp_sub, 1);
- rb_define_method(rb_cComplex, "*", nucomp_mul, 1);
- rb_define_method(rb_cComplex, "/", nucomp_div, 1);
- rb_define_method(rb_cComplex, "quo", nucomp_quo, 1);
- rb_define_method(rb_cComplex, "fdiv", nucomp_fdiv, 1);
- rb_define_method(rb_cComplex, "**", nucomp_expt, 1);
-
- rb_define_method(rb_cComplex, "==", nucomp_equal_p, 1);
- rb_define_method(rb_cComplex, "coerce", nucomp_coerce, 1);
-
- rb_define_method(rb_cComplex, "abs", nucomp_abs, 0);
- rb_define_method(rb_cComplex, "magnitude", nucomp_abs, 0);
- rb_define_method(rb_cComplex, "abs2", nucomp_abs2, 0);
- rb_define_method(rb_cComplex, "arg", nucomp_arg, 0);
- rb_define_method(rb_cComplex, "angle", nucomp_arg, 0);
- rb_define_method(rb_cComplex, "phase", nucomp_arg, 0);
- rb_define_method(rb_cComplex, "rectangular", nucomp_rect, 0);
- rb_define_method(rb_cComplex, "rect", nucomp_rect, 0);
- rb_define_method(rb_cComplex, "polar", nucomp_polar, 0);
- rb_define_method(rb_cComplex, "conjugate", nucomp_conj, 0);
- rb_define_method(rb_cComplex, "conj", nucomp_conj, 0);
-#if 0
- rb_define_method(rb_cComplex, "~", nucomp_conj, 0); /* gcc */
-#endif
-
- rb_define_method(rb_cComplex, "real?", nucomp_false, 0);
-#if 0
- rb_define_method(rb_cComplex, "complex?", nucomp_true, 0);
- rb_define_method(rb_cComplex, "exact?", nucomp_exact_p, 0);
- rb_define_method(rb_cComplex, "inexact?", nucomp_inexact_p, 0);
-#endif
-
- rb_define_method(rb_cComplex, "numerator", nucomp_numerator, 0);
- rb_define_method(rb_cComplex, "denominator", nucomp_denominator, 0);
-
- rb_define_method(rb_cComplex, "hash", nucomp_hash, 0);
- rb_define_method(rb_cComplex, "eql?", nucomp_eql_p, 1);
-
- rb_define_method(rb_cComplex, "to_s", nucomp_to_s, 0);
- rb_define_method(rb_cComplex, "inspect", nucomp_inspect, 0);
-
- rb_define_method(rb_cComplex, "marshal_dump", nucomp_marshal_dump, 0);
- rb_define_method(rb_cComplex, "marshal_load", nucomp_marshal_load, 1);
-
- /* --- */
-
- rb_define_method(rb_cComplex, "to_i", nucomp_to_i, 0);
- rb_define_method(rb_cComplex, "to_f", nucomp_to_f, 0);
- rb_define_method(rb_cComplex, "to_r", nucomp_to_r, 0);
- rb_define_method(rb_cNilClass, "to_c", nilclass_to_c, 0);
- rb_define_method(rb_cNumeric, "to_c", numeric_to_c, 0);
-
- make_patterns();
-
- rb_define_method(rb_cString, "to_c", string_to_c, 0);
-
- rb_define_private_method(CLASS_OF(rb_cComplex), "convert", nucomp_s_convert, -1);
-
- /* --- */
-
- rb_define_method(rb_cNumeric, "real", numeric_real, 0);
- rb_define_method(rb_cNumeric, "imaginary", numeric_imag, 0);
- rb_define_method(rb_cNumeric, "imag", numeric_imag, 0);
- rb_define_method(rb_cNumeric, "abs2", numeric_abs2, 0);
- rb_define_method(rb_cNumeric, "arg", numeric_arg, 0);
- rb_define_method(rb_cNumeric, "angle", numeric_arg, 0);
- rb_define_method(rb_cNumeric, "phase", numeric_arg, 0);
- rb_define_method(rb_cNumeric, "rectangular", numeric_rect, 0);
- rb_define_method(rb_cNumeric, "rect", numeric_rect, 0);
- rb_define_method(rb_cNumeric, "polar", numeric_polar, 0);
- rb_define_method(rb_cNumeric, "conjugate", numeric_conj, 0);
- rb_define_method(rb_cNumeric, "conj", numeric_conj, 0);
-
-#ifndef EXT_MATHN
- rb_define_const(rb_cComplex, "I",
- f_complex_new_bang2(rb_cComplex, ZERO, ONE));
-#endif
+ nucomp_canonicalize(1);
}
-
-/*
-Local variables:
-c-file-style: "ruby"
-End:
-*/
diff --git a/ext/mathn/complex/extconf.rb b/ext/mathn/complex/extconf.rb
index 32f181f..d4d14ff 100644
--- a/ext/mathn/complex/extconf.rb
+++ b/ext/mathn/complex/extconf.rb
@@ -1,5 +1,3 @@
require "mkmf"
-$CPPFLAGS = "-DEXT_MATHN -DCANON -DCLCANON "
-
create_makefile "mathn/complex"
diff --git a/ext/mathn/rational/extconf.rb b/ext/mathn/rational/extconf.rb
index 23cff7a..ba76306 100644
--- a/ext/mathn/rational/extconf.rb
+++ b/ext/mathn/rational/extconf.rb
@@ -1,5 +1,3 @@
require "mkmf"
-$CPPFLAGS = "-DEXT_MATHN -DCANON -DCLCANON"
-
create_makefile "mathn/rational"
diff --git a/ext/mathn/rational/rational.c b/ext/mathn/rational/rational.c
index 68f4712..fe67974 100644
--- a/ext/mathn/rational/rational.c
+++ b/ext/mathn/rational/rational.c
@@ -1,1623 +1,7 @@
-/*
+extern void nurat_canonicalize(int);
- rational.c of mathn version
-
- Original file is built-in rational.c:
- --
- rational.c: Coded by Tadayoshi Funaba 2008
-
- This implementation is based on Keiju Ishitsuka's Rational library
- which is written in ruby.
- --
-*/
-
-#include "ruby.h"
-#include <math.h>
-#include <float.h>
-
-#ifdef HAVE_IEEEFP_H
-#include <ieeefp.h>
-#endif
-
-#define NDEBUG
-#include <assert.h>
-
-#ifndef RATIONAL_NAME
-#define RATIONAL_NAME "Rational"
-#endif
-
-#define ZERO INT2FIX(0)
-#define ONE INT2FIX(1)
-#define TWO INT2FIX(2)
-
-#if 0
-VALUE rb_cRational;
-#endif
-
-static ID id_abs, id_cmp, id_convert, id_equal_p, id_expt, id_floor,
- id_format, id_hash, id_idiv, id_inspect, id_integer_p, id_negate,
- id_to_f, id_to_i, id_to_s, id_truncate;
-
-#define f_boolcast(x) ((x) ? Qtrue : Qfalse)
-
-#define binop(n,op) \
-inline static VALUE \
-f_##n(VALUE x, VALUE y)\
-{\
- return rb_funcall(x, op, 1, y);\
-}
-
-#define fun1(n) \
-inline static VALUE \
-f_##n(VALUE x)\
-{\
- return rb_funcall(x, id_##n, 0);\
-}
-
-#define fun2(n) \
-inline static VALUE \
-f_##n(VALUE x, VALUE y)\
-{\
- return rb_funcall(x, id_##n, 1, y);\
-}
-
-inline static VALUE
-f_add(VALUE x, VALUE y)
-{
- if (FIXNUM_P(y) && FIX2LONG(y) == 0)
- return x;
- else if (FIXNUM_P(x) && FIX2LONG(x) == 0)
- return y;
- return rb_funcall(x, '+', 1, y);
-}
-
-inline static VALUE
-f_cmp(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y)) {
- long c = FIX2LONG(x) - FIX2LONG(y);
- if (c > 0)
- c = 1;
- else if (c < 0)
- c = -1;
- return INT2FIX(c);
- }
- return rb_funcall(x, id_cmp, 1, y);
-}
-
-inline static VALUE
-f_div(VALUE x, VALUE y)
-{
- if (FIXNUM_P(y) && FIX2LONG(y) == 1)
- return x;
- return rb_funcall(x, '/', 1, y);
-}
-
-inline static VALUE
-f_gt_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) > FIX2LONG(y));
- return rb_funcall(x, '>', 1, y);
-}
-
-inline static VALUE
-f_lt_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) < FIX2LONG(y));
- return rb_funcall(x, '<', 1, y);
-}
-
-binop(mod, '%')
-
-inline static VALUE
-f_mul(VALUE x, VALUE y)
-{
- if (FIXNUM_P(y)) {
- long iy = FIX2LONG(y);
- if (iy == 0) {
- if (FIXNUM_P(x) || TYPE(x) == T_BIGNUM)
- return ZERO;
- }
- else if (iy == 1)
- return x;
- }
- else if (FIXNUM_P(x)) {
- long ix = FIX2LONG(x);
- if (ix == 0) {
- if (FIXNUM_P(y) || TYPE(y) == T_BIGNUM)
- return ZERO;
- }
- else if (ix == 1)
- return y;
- }
- return rb_funcall(x, '*', 1, y);
-}
-
-inline static VALUE
-f_sub(VALUE x, VALUE y)
-{
- if (FIXNUM_P(y) && FIX2LONG(y) == 0)
- return x;
- return rb_funcall(x, '-', 1, y);
-}
-
-binop(xor, '^')
-
-fun1(abs)
-fun1(floor)
-fun1(hash)
-fun1(inspect)
-fun1(integer_p)
-fun1(negate)
-fun1(to_f)
-fun1(to_i)
-fun1(to_s)
-fun1(truncate)
-
-inline static VALUE
-f_equal_p(VALUE x, VALUE y)
-{
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return f_boolcast(FIX2LONG(x) == FIX2LONG(y));
- return rb_funcall(x, id_equal_p, 1, y);
-}
-
-fun2(expt)
-fun2(idiv)
-
-inline static VALUE
-f_negative_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) < 0);
- return rb_funcall(x, '<', 1, ZERO);
-}
-
-#define f_positive_p(x) (!f_negative_p(x))
-
-inline static VALUE
-f_zero_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) == 0);
- return rb_funcall(x, id_equal_p, 1, ZERO);
-}
-
-#define f_nonzero_p(x) (!f_zero_p(x))
-
-inline static VALUE
-f_one_p(VALUE x)
-{
- if (FIXNUM_P(x))
- return f_boolcast(FIX2LONG(x) == 1);
- return rb_funcall(x, id_equal_p, 1, ONE);
-}
-
-inline static VALUE
-f_kind_of_p(VALUE x, VALUE c)
-{
- return rb_obj_is_kind_of(x, c);
-}
-
-inline static VALUE
-k_numeric_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cNumeric);
-}
-
-inline static VALUE
-k_integer_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cInteger);
-}
-
-inline static VALUE
-k_float_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cFloat);
-}
-
-inline static VALUE
-k_rational_p(VALUE x)
-{
- return f_kind_of_p(x, rb_cRational);
-}
-
-#define k_exact_p(x) (!k_float_p(x))
-#define k_inexact_p(x) k_float_p(x)
-
-#ifndef NDEBUG
-#define f_gcd f_gcd_orig
-#endif
-
-inline static long
-i_gcd(long x, long y)
-{
- if (x < 0)
- x = -x;
- if (y < 0)
- y = -y;
-
- if (x == 0)
- return y;
- if (y == 0)
- return x;
-
- while (x > 0) {
- long t = x;
- x = y % x;
- y = t;
- }
- return y;
-}
-
-inline static VALUE
-f_gcd(VALUE x, VALUE y)
-{
- VALUE z;
-
- if (FIXNUM_P(x) && FIXNUM_P(y))
- return LONG2NUM(i_gcd(FIX2LONG(x), FIX2LONG(y)));
-
- if (f_negative_p(x))
- x = f_negate(x);
- if (f_negative_p(y))
- y = f_negate(y);
-
- if (f_zero_p(x))
- return y;
- if (f_zero_p(y))
- return x;
-
- for (;;) {
- if (FIXNUM_P(x)) {
- if (FIX2LONG(x) == 0)
- return y;
- if (FIXNUM_P(y))
- return LONG2NUM(i_gcd(FIX2LONG(x), FIX2LONG(y)));
- }
- z = x;
- x = f_mod(y, x);
- y = z;
- }
- /* NOTREACHED */
-}
-
-#ifndef NDEBUG
-#undef f_gcd
-
-inline static VALUE
-f_gcd(VALUE x, VALUE y)
-{
- VALUE r = f_gcd_orig(x, y);
- if (f_nonzero_p(r)) {
- assert(f_zero_p(f_mod(x, r)));
- assert(f_zero_p(f_mod(y, r)));
- }
- return r;
-}
-#endif
-
-inline static VALUE
-f_lcm(VALUE x, VALUE y)
-{
- if (f_zero_p(x) || f_zero_p(y))
- return ZERO;
- return f_abs(f_mul(f_div(x, f_gcd(x, y)), y));
-}
-
-#define get_dat1(x) \
- struct RRational *dat;\
- dat = ((struct RRational *)(x))
-
-#define get_dat2(x,y) \
- struct RRational *adat, *bdat;\
- adat = ((struct RRational *)(x));\
- bdat = ((struct RRational *)(y))
-
-inline static VALUE
-nurat_s_new_internal(VALUE klass, VALUE num, VALUE den)
-{
- NEWOBJ(obj, struct RRational);
- OBJSETUP(obj, klass, T_RATIONAL);
-
- obj->num = num;
- obj->den = den;
-
- return (VALUE)obj;
-}
-
-static VALUE
-nurat_s_alloc(VALUE klass)
-{
- return nurat_s_new_internal(klass, ZERO, ONE);
-}
-
-#define rb_raise_zerodiv() rb_raise(rb_eZeroDivError, "divided by zero")
-
-#if 0
-static VALUE
-nurat_s_new_bang(int argc, VALUE *argv, VALUE klass)
-{
- VALUE num, den;
-
- switch (rb_scan_args(argc, argv, "11", &num, &den)) {
- case 1:
- if (!k_integer_p(num))
- num = f_to_i(num);
- den = ONE;
- break;
- default:
- if (!k_integer_p(num))
- num = f_to_i(num);
- if (!k_integer_p(den))
- den = f_to_i(den);
-
- switch (FIX2INT(f_cmp(den, ZERO))) {
- case -1:
- num = f_negate(num);
- den = f_negate(den);
- break;
- case 0:
- rb_raise_zerodiv();
- break;
- }
- break;
- }
-
- return nurat_s_new_internal(klass, num, den);
-}
-#endif
-
-inline static VALUE
-f_rational_new_bang1(VALUE klass, VALUE x)
-{
- return nurat_s_new_internal(klass, x, ONE);
-}
-
-inline static VALUE
-f_rational_new_bang2(VALUE klass, VALUE x, VALUE y)
-{
- assert(f_positive_p(y));
- assert(f_nonzero_p(y));
- return nurat_s_new_internal(klass, x, y);
-}
-
-#ifndef EXT_MATHN
-#define f_unify_p(klass) rb_const_defined(klass, id_Unify)
-#else
-#define f_unify_p(klass) 1
-#endif
-
-inline static void
-nurat_int_check(VALUE num)
-{
- switch (TYPE(num)) {
- case T_FIXNUM:
- case T_BIGNUM:
- break;
- default:
- if (!k_numeric_p(num) || !f_integer_p(num))
- rb_raise(rb_eArgError, "not an integer");
- }
-}
-
-inline static VALUE
-nurat_int_value(VALUE num)
-{
- nurat_int_check(num);
- if (!k_integer_p(num))
- num = f_to_i(num);
- return num;
-}
-
-inline static VALUE
-nurat_s_canonicalize_internal(VALUE klass, VALUE num, VALUE den)
-{
- VALUE gcd;
-
- switch (FIX2INT(f_cmp(den, ZERO))) {
- case -1:
- num = f_negate(num);
- den = f_negate(den);
- break;
- case 0:
- rb_raise_zerodiv();
- break;
- }
-
- gcd = f_gcd(num, den);
- num = f_idiv(num, gcd);
- den = f_idiv(den, gcd);
-
-#ifdef CANON
- if (f_one_p(den) && f_unify_p(klass))
- return num;
-#endif
- return nurat_s_new_internal(klass, num, den);
-}
-
-inline static VALUE
-nurat_s_canonicalize_internal_no_reduce(VALUE klass, VALUE num, VALUE den)
-{
- switch (FIX2INT(f_cmp(den, ZERO))) {
- case -1:
- num = f_negate(num);
- den = f_negate(den);
- break;
- case 0:
- rb_raise_zerodiv();
- break;
- }
-
-#ifdef CANON
- if (f_one_p(den) && f_unify_p(klass))
- return num;
-#endif
- return nurat_s_new_internal(klass, num, den);
-}
-
-static VALUE
-nurat_s_new(int argc, VALUE *argv, VALUE klass)
-{
- VALUE num, den;
-
- switch (rb_scan_args(argc, argv, "11", &num, &den)) {
- case 1:
- num = nurat_int_value(num);
- den = ONE;
- break;
- default:
- num = nurat_int_value(num);
- den = nurat_int_value(den);
- break;
- }
-
- return nurat_s_canonicalize_internal(klass, num, den);
-}
-
-inline static VALUE
-f_rational_new1(VALUE klass, VALUE x)
-{
- assert(!k_rational_p(x));
- return nurat_s_canonicalize_internal(klass, x, ONE);
-}
-
-inline static VALUE
-f_rational_new2(VALUE klass, VALUE x, VALUE y)
-{
- assert(!k_rational_p(x));
- assert(!k_rational_p(y));
- return nurat_s_canonicalize_internal(klass, x, y);
-}
-
-inline static VALUE
-f_rational_new_no_reduce1(VALUE klass, VALUE x)
-{
- assert(!k_rational_p(x));
- return nurat_s_canonicalize_internal_no_reduce(klass, x, ONE);
-}
-
-inline static VALUE
-f_rational_new_no_reduce2(VALUE klass, VALUE x, VALUE y)
-{
- assert(!k_rational_p(x));
- assert(!k_rational_p(y));
- return nurat_s_canonicalize_internal_no_reduce(klass, x, y);
-}
-
-static VALUE
-nurat_f_rational(int argc, VALUE *argv, VALUE klass)
-{
- return rb_funcall2(rb_cRational, id_convert, argc, argv);
-}
-
-static VALUE
-nurat_numerator(VALUE self)
-{
- get_dat1(self);
- return dat->num;
-}
-
-static VALUE
-nurat_denominator(VALUE self)
-{
- get_dat1(self);
- return dat->den;
-}
-
-#ifndef NDEBUG
-#define f_imul f_imul_orig
-#endif
-
-inline static VALUE
-f_imul(long a, long b)
-{
- VALUE r;
- long c;
-
- if (a == 0 || b == 0)
- return ZERO;
- else if (a == 1)
- return LONG2NUM(b);
- else if (b == 1)
- return LONG2NUM(a);
-
- c = a * b;
- r = LONG2NUM(c);
- if (NUM2LONG(r) != c || (c / a) != b)
- r = rb_big_mul(rb_int2big(a), rb_int2big(b));
- return r;
-}
-
-#ifndef NDEBUG
-#undef f_imul
-
-inline static VALUE
-f_imul(long x, long y)
-{
- VALUE r = f_imul_orig(x, y);
- assert(f_equal_p(r, f_mul(LONG2NUM(x), LONG2NUM(y))));
- return r;
-}
-#endif
-
-inline static VALUE
-f_addsub(VALUE self, VALUE anum, VALUE aden, VALUE bnum, VALUE bden, int k)
-{
- VALUE num, den;
-
- if (FIXNUM_P(anum) && FIXNUM_P(aden) &&
- FIXNUM_P(bnum) && FIXNUM_P(bden)) {
- long an = FIX2LONG(anum);
- long ad = FIX2LONG(aden);
- long bn = FIX2LONG(bnum);
- long bd = FIX2LONG(bden);
- long ig = i_gcd(ad, bd);
-
- VALUE g = LONG2NUM(ig);
- VALUE a = f_imul(an, bd / ig);
- VALUE b = f_imul(bn, ad / ig);
- VALUE c;
-
- if (k == '+')
- c = f_add(a, b);
- else
- c = f_sub(a, b);
-
- b = f_idiv(aden, g);
- g = f_gcd(c, g);
- num = f_idiv(c, g);
- a = f_idiv(bden, g);
- den = f_mul(a, b);
- }
- else {
- VALUE g = f_gcd(aden, bden);
- VALUE a = f_mul(anum, f_idiv(bden, g));
- VALUE b = f_mul(bnum, f_idiv(aden, g));
- VALUE c;
-
- if (k == '+')
- c = f_add(a, b);
- else
- c = f_sub(a, b);
-
- b = f_idiv(aden, g);
- g = f_gcd(c, g);
- num = f_idiv(c, g);
- a = f_idiv(bden, g);
- den = f_mul(a, b);
- }
- return f_rational_new_no_reduce2(CLASS_OF(self), num, den);
-}
-
-static VALUE
-nurat_add(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- get_dat1(self);
-
- return f_addsub(self,
- dat->num, dat->den,
- other, ONE, '+');
- }
- case T_FLOAT:
- return f_add(f_to_f(self), other);
- case T_RATIONAL:
- {
- get_dat2(self, other);
-
- return f_addsub(self,
- adat->num, adat->den,
- bdat->num, bdat->den, '+');
- }
- default:
- return rb_num_coerce_bin(self, other, '+');
- }
-}
-
-static VALUE
-nurat_sub(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- get_dat1(self);
-
- return f_addsub(self,
- dat->num, dat->den,
- other, ONE, '-');
- }
- case T_FLOAT:
- return f_sub(f_to_f(self), other);
- case T_RATIONAL:
- {
- get_dat2(self, other);
-
- return f_addsub(self,
- adat->num, adat->den,
- bdat->num, bdat->den, '-');
- }
- default:
- return rb_num_coerce_bin(self, other, '-');
- }
-}
-
-inline static VALUE
-f_muldiv(VALUE self, VALUE anum, VALUE aden, VALUE bnum, VALUE bden, int k)
-{
- VALUE num, den;
-
- if (k == '/') {
- VALUE t;
-
- if (f_negative_p(bnum)) {
- anum = f_negate(anum);
- bnum = f_negate(bnum);
- }
- t = bnum;
- bnum = bden;
- bden = t;
- }
-
- if (FIXNUM_P(anum) && FIXNUM_P(aden) &&
- FIXNUM_P(bnum) && FIXNUM_P(bden)) {
- long an = FIX2LONG(anum);
- long ad = FIX2LONG(aden);
- long bn = FIX2LONG(bnum);
- long bd = FIX2LONG(bden);
- long g1 = i_gcd(an, bd);
- long g2 = i_gcd(ad, bn);
-
- num = f_imul(an / g1, bn / g2);
- den = f_imul(ad / g2, bd / g1);
- }
- else {
- VALUE g1 = f_gcd(anum, bden);
- VALUE g2 = f_gcd(aden, bnum);
-
- num = f_mul(f_idiv(anum, g1), f_idiv(bnum, g2));
- den = f_mul(f_idiv(aden, g2), f_idiv(bden, g1));
- }
- return f_rational_new_no_reduce2(CLASS_OF(self), num, den);
-}
-
-static VALUE
-nurat_mul(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- get_dat1(self);
-
- return f_muldiv(self,
- dat->num, dat->den,
- other, ONE, '*');
- }
- case T_FLOAT:
- return f_mul(f_to_f(self), other);
- case T_RATIONAL:
- {
- get_dat2(self, other);
-
- return f_muldiv(self,
- adat->num, adat->den,
- bdat->num, bdat->den, '*');
- }
- default:
- return rb_num_coerce_bin(self, other, '*');
- }
-}
-
-static VALUE
-nurat_div(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- if (f_zero_p(other))
- rb_raise_zerodiv();
- {
- get_dat1(self);
-
- return f_muldiv(self,
- dat->num, dat->den,
- other, ONE, '/');
- }
- case T_FLOAT:
- return rb_funcall(f_to_f(self), '/', 1, other);
- case T_RATIONAL:
- if (f_zero_p(other))
- rb_raise_zerodiv();
- {
- get_dat2(self, other);
-
- return f_muldiv(self,
- adat->num, adat->den,
- bdat->num, bdat->den, '/');
- }
- default:
- return rb_num_coerce_bin(self, other, '/');
- }
-}
-
-static VALUE
-nurat_fdiv(VALUE self, VALUE other)
-{
- return f_div(f_to_f(self), other);
-}
-
-static VALUE
-nurat_expt(VALUE self, VALUE other)
-{
- if (k_exact_p(other) && f_zero_p(other))
- return f_rational_new_bang1(CLASS_OF(self), ONE);
-
- if (k_rational_p(other)) {
- get_dat1(other);
-
- if (f_one_p(dat->den))
- other = dat->num; /* good? */
- }
-
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- VALUE num, den;
-
- get_dat1(self);
-
- switch (FIX2INT(f_cmp(other, ZERO))) {
- case 1:
- num = f_expt(dat->num, other);
- den = f_expt(dat->den, other);
- break;
- case -1:
- num = f_expt(dat->den, f_negate(other));
- den = f_expt(dat->num, f_negate(other));
- break;
- default:
- num = ONE;
- den = ONE;
- break;
- }
- return f_rational_new2(CLASS_OF(self), num, den);
- }
- case T_FLOAT:
- case T_RATIONAL:
- return f_expt(f_to_f(self), other);
- default:
- return rb_num_coerce_bin(self, other, id_expt);
- }
-}
-
-static VALUE
-nurat_cmp(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- get_dat1(self);
-
- if (FIXNUM_P(dat->den) && FIX2LONG(dat->den) == 1)
- return f_cmp(dat->num, other);
- return f_cmp(self, f_rational_new_bang1(CLASS_OF(self), other));
- }
- case T_FLOAT:
- return f_cmp(f_to_f(self), other);
- case T_RATIONAL:
- {
- VALUE num1, num2;
-
- get_dat2(self, other);
-
- if (FIXNUM_P(adat->num) && FIXNUM_P(adat->den) &&
- FIXNUM_P(bdat->num) && FIXNUM_P(bdat->den)) {
- num1 = f_imul(FIX2LONG(adat->num), FIX2LONG(bdat->den));
- num2 = f_imul(FIX2LONG(bdat->num), FIX2LONG(adat->den));
- }
- else {
- num1 = f_mul(adat->num, bdat->den);
- num2 = f_mul(bdat->num, adat->den);
- }
- return f_cmp(f_sub(num1, num2), ZERO);
- }
- default:
- return rb_num_coerce_bin(self, other, id_cmp);
- }
-}
-
-static VALUE
-nurat_equal_p(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- {
- get_dat1(self);
-
- if (f_zero_p(dat->num) && f_zero_p(other))
- return Qtrue;
-
- if (!FIXNUM_P(dat->den))
- return Qfalse;
- if (FIX2LONG(dat->den) != 1)
- return Qfalse;
- if (f_equal_p(dat->num, other))
- return Qtrue;
- return Qfalse;
- }
- case T_FLOAT:
- return f_equal_p(f_to_f(self), other);
- case T_RATIONAL:
- {
- get_dat2(self, other);
-
- if (f_zero_p(adat->num) && f_zero_p(bdat->num))
- return Qtrue;
-
- return f_boolcast(f_equal_p(adat->num, bdat->num) &&
- f_equal_p(adat->den, bdat->den));
- }
- default:
- return f_equal_p(other, self);
- }
-}
-
-static VALUE
-nurat_coerce(VALUE self, VALUE other)
-{
- switch (TYPE(other)) {
- case T_FIXNUM:
- case T_BIGNUM:
- return rb_assoc_new(f_rational_new_bang1(CLASS_OF(self), other), self);
- case T_FLOAT:
- return rb_assoc_new(other, f_to_f(self));
- }
-
- rb_raise(rb_eTypeError, "%s can't be coerced into %s",
- rb_obj_classname(other), rb_obj_classname(self));
- return Qnil;
-}
-
-static VALUE
-nurat_idiv(VALUE self, VALUE other)
-{
- return f_floor(f_div(self, other));
-}
-
-static VALUE
-nurat_mod(VALUE self, VALUE other)
-{
- VALUE val = f_floor(f_div(self, other));
- return f_sub(self, f_mul(other, val));
-}
-
-static VALUE
-nurat_divmod(VALUE self, VALUE other)
-{
- VALUE val = f_floor(f_div(self, other));
- return rb_assoc_new(val, f_sub(self, f_mul(other, val)));
-}
-
-#if 0
-static VALUE
-nurat_quot(VALUE self, VALUE other)
-{
- return f_truncate(f_div(self, other));
-}
-#endif
-
-static VALUE
-nurat_rem(VALUE self, VALUE other)
-{
- VALUE val = f_truncate(f_div(self, other));
- return f_sub(self, f_mul(other, val));
-}
-
-#if 0
-static VALUE
-nurat_quotrem(VALUE self, VALUE other)
-{
- VALUE val = f_truncate(f_div(self, other));
- return rb_assoc_new(val, f_sub(self, f_mul(other, val)));
-}
-#endif
-
-static VALUE
-nurat_abs(VALUE self)
-{
- if (f_positive_p(self))
- return self;
- return f_negate(self);
-}
-
-#if 0
-static VALUE
-nurat_true(VALUE self)
-{
- return Qtrue;
-}
-#endif
-
-static VALUE
-nurat_floor(VALUE self)
-{
- get_dat1(self);
- return f_idiv(dat->num, dat->den);
-}
-
-static VALUE
-nurat_ceil(VALUE self)
-{
- get_dat1(self);
- return f_negate(f_idiv(f_negate(dat->num), dat->den));
-}
-
-static VALUE
-nurat_truncate(VALUE self)
-{
- get_dat1(self);
- if (f_negative_p(dat->num))
- return f_negate(f_idiv(f_negate(dat->num), dat->den));
- return f_idiv(dat->num, dat->den);
-}
-
-static VALUE
-nurat_round(VALUE self)
-{
- get_dat1(self);
-
- if (f_negative_p(dat->num)) {
- VALUE num, den;
-
- num = f_negate(dat->num);
- num = f_add(f_mul(num, TWO), dat->den);
- den = f_mul(dat->den, TWO);
- return f_negate(f_idiv(num, den));
- }
- else {
- VALUE num = f_add(f_mul(dat->num, TWO), dat->den);
- VALUE den = f_mul(dat->den, TWO);
- return f_idiv(num, den);
- }
-}
-
-#define f_size(x) rb_funcall(x, rb_intern("size"), 0)
-#define f_rshift(x,y) rb_funcall(x, rb_intern(">>"), 1, y)
-
-inline static long
-i_ilog2(VALUE x)
-{
- long q, r, fx;
-
- assert(!f_lt_p(x, ONE));
-
- q = (NUM2LONG(f_size(x)) - sizeof(long)) * 8 + 1;
-
- if (q > 0)
- x = f_rshift(x, LONG2NUM(q));
-
- fx = NUM2LONG(x);
-
- r = -1;
- while (fx) {
- fx >>= 1;
- r += 1;
- }
-
- return q + r;
-}
-
-static long ml;
-
-static VALUE
-nurat_to_f(VALUE self)
-{
- VALUE num, den;
- int minus = 0;
- long nl, dl, ne, de;
- int e;
- double f;
-
- {
- get_dat1(self);
-
- if (f_zero_p(dat->num))
- return rb_float_new(0.0);
-
- num = dat->num;
- den = dat->den;
- }
-
- if (f_negative_p(num)) {
- num = f_negate(num);
- minus = 1;
- }
-
- nl = i_ilog2(num);
- dl = i_ilog2(den);
-
- ne = 0;
- if (nl > ml) {
- ne = nl - ml;
- num = f_rshift(num, LONG2NUM(ne));
- }
-
- de = 0;
- if (dl > ml) {
- de = dl - ml;
- den = f_rshift(den, LONG2NUM(de));
- }
-
- e = (int)(ne - de);
-
- if ((e > DBL_MAX_EXP) || (e < DBL_MIN_EXP)) {
- rb_warning("%s out of Float range", rb_obj_classname(self));
- return rb_float_new(e > 0 ? HUGE_VAL : 0.0);
- }
-
- f = NUM2DBL(num) / NUM2DBL(den);
- if (minus)
- f = -f;
- f = ldexp(f, e);
-
- if (isinf(f) || isnan(f))
- rb_warning("%s out of Float range", rb_obj_classname(self));
-
- return rb_float_new(f);
-}
-
-static VALUE
-nurat_to_r(VALUE self)
-{
- return self;
-}
-
-static VALUE
-nurat_hash(VALUE self)
-{
- get_dat1(self);
- return f_xor(f_hash(dat->num), f_hash(dat->den));
-}
-
-static VALUE
-nurat_to_s(VALUE self)
-{
- get_dat1(self);
- return rb_funcall(rb_mKernel, id_format, 3,
- rb_str_new2("%d/%d"), dat->num, dat->den);
-}
-
-static VALUE
-nurat_inspect(VALUE self)
-{
- get_dat1(self);
- return rb_funcall(rb_mKernel, id_format, 3,
- rb_str_new2("(%d/%d)"), dat->num, dat->den);
-}
-
-static VALUE
-nurat_marshal_dump(VALUE self)
-{
- VALUE a;
- get_dat1(self);
-
- a = rb_assoc_new(dat->num, dat->den);
- rb_copy_generic_ivar(a, self);
- return a;
-}
-
-static VALUE
-nurat_marshal_load(VALUE self, VALUE a)
-{
- get_dat1(self);
- dat->num = RARRAY_PTR(a)[0];
- dat->den = RARRAY_PTR(a)[1];
- rb_copy_generic_ivar(self, a);
-
- if (f_zero_p(dat->den))
- rb_raise_zerodiv();
-
- return self;
-}
-
-/* --- */
-
-#ifdef EXT_MATHN
-static
-#endif
-VALUE
-rb_gcd(VALUE self, VALUE other)
-{
- other = nurat_int_value(other);
- return f_gcd(self, other);
-}
-
-#ifdef EXT_MATHN
-static
-#endif
-VALUE
-rb_lcm(VALUE self, VALUE other)
-{
- other = nurat_int_value(other);
- return f_lcm(self, other);
-}
-
-#ifdef EXT_MATHN
-static
-#endif
-VALUE
-rb_gcdlcm(VALUE self, VALUE other)
-{
- other = nurat_int_value(other);
- return rb_assoc_new(f_gcd(self, other), f_lcm(self, other));
-}
-
-#ifdef EXT_MATHN
-VALUE
-rb_rational_raw(VALUE x, VALUE y)
-{
- return nurat_s_new_internal(rb_cRational, x, y);
-}
-#endif
-
-#ifdef EXT_MATHN
-
-#undef rb_rational_new1
-#undef rb_rational_new2
-#define rb_rational_new1(x) rb_rational_new_mathn(x, INT2FIX(1))
-#define rb_rational_new2(x,y) rb_rational_new_mathn(x, y)
-
-static VALUE
-rb_rational_new_mathn(VALUE x, VALUE y)
-{
- return nurat_s_canonicalize_internal(rb_cRational, x, y);
-}
-#else
-VALUE
-rb_rational_new(VALUE x, VALUE y)
-{
- return nurat_s_canonicalize_internal(rb_cRational, x, y);
-}
-#endif
-
-static VALUE nurat_s_convert(int argc, VALUE *argv, VALUE klass);
-
-#ifdef EXT_MATHN
-VALUE
-rb_Rational(VALUE x, VALUE y)
-{
- VALUE a[2];
- a[0] = x;
- a[1] = y;
- return nurat_s_convert(2, a, rb_cRational);
-}
-#endif
-
-
-static VALUE
-nilclass_to_r(VALUE self)
-{
- return rb_rational_new1(INT2FIX(0));
-}
-
-static VALUE
-integer_to_r(VALUE self)
-{
- return rb_rational_new1(self);
-}
-
-static void
-float_decode_internal(VALUE self, VALUE *rf, VALUE *rn)
-{
- double f;
- int n;
-
- f = frexp(RFLOAT_VALUE(self), &n);
- f = ldexp(f, DBL_MANT_DIG);
- n -= DBL_MANT_DIG;
- *rf = rb_dbl2big(f);
- *rn = INT2FIX(n);
-}
-
-#if 0
-static VALUE
-float_decode(VALUE self)
-{
- VALUE f, n;
-
- float_decode_internal(self, &f, &n);
- return rb_assoc_new(f, n);
-}
-#endif
-
-static VALUE
-float_to_r(VALUE self)
-{
- VALUE f, n;
-
- float_decode_internal(self, &f, &n);
- return f_mul(f, f_expt(INT2FIX(FLT_RADIX), n));
-}
-
-static VALUE rat_pat, an_e_pat, a_dot_pat, underscores_pat, an_underscore;
-
-#define WS "\\s*"
-#define DIGITS "(?:\\d(?:_\\d|\\d)*)"
-#define NUMERATOR "(?:" DIGITS "?\\.)?" DIGITS "(?:[eE][-+]?" DIGITS ")?"
-#define DENOMINATOR DIGITS
-#define PATTERN "\\A" WS "([-+])?(" NUMERATOR ")(?:\\/(" DENOMINATOR "))?" WS
-
-static void
-make_patterns(void)
-{
- static const char rat_pat_source[] = PATTERN;
- static const char an_e_pat_source[] = "[eE]";
- static const char a_dot_pat_source[] = "\\.";
- static const char underscores_pat_source[] = "_+";
-
- if (rat_pat) return;
-
- rat_pat = rb_reg_new(rat_pat_source, sizeof rat_pat_source - 1, 0);
- rb_gc_register_mark_object(rat_pat);
-
- an_e_pat = rb_reg_new(an_e_pat_source, sizeof an_e_pat_source - 1, 0);
- rb_gc_register_mark_object(an_e_pat);
-
- a_dot_pat = rb_reg_new(a_dot_pat_source, sizeof a_dot_pat_source - 1, 0);
- rb_gc_register_mark_object(a_dot_pat);
-
- underscores_pat = rb_reg_new(underscores_pat_source,
- sizeof underscores_pat_source - 1, 0);
- rb_gc_register_mark_object(underscores_pat);
-
- an_underscore = rb_str_new2("_");
- rb_gc_register_mark_object(an_underscore);
-}
-
-#define id_match rb_intern("match")
-#define f_match(x,y) rb_funcall(x, id_match, 1, y)
-
-#define id_aref rb_intern("[]")
-#define f_aref(x,y) rb_funcall(x, id_aref, 1, y)
-
-#define id_post_match rb_intern("post_match")
-#define f_post_match(x) rb_funcall(x, id_post_match, 0)
-
-#define id_split rb_intern("split")
-#define f_split(x,y) rb_funcall(x, id_split, 1, y)
-
-#include <ctype.h>
-
-static VALUE
-string_to_r_internal(VALUE self)
-{
- VALUE s, m;
-
- s = self;
-
- if (RSTRING_LEN(s) == 0)
- return rb_assoc_new(Qnil, self);
-
- m = f_match(rat_pat, s);
-
- if (!NIL_P(m)) {
- VALUE v, ifp, exp, ip, fp;
- VALUE si = f_aref(m, INT2FIX(1));
- VALUE nu = f_aref(m, INT2FIX(2));
- VALUE de = f_aref(m, INT2FIX(3));
- VALUE re = f_post_match(m);
-
- {
- VALUE a;
-
- a = f_split(nu, an_e_pat);
- ifp = RARRAY_PTR(a)[0];
- if (RARRAY_LEN(a) != 2)
- exp = Qnil;
- else
- exp = RARRAY_PTR(a)[1];
-
- a = f_split(ifp, a_dot_pat);
- ip = RARRAY_PTR(a)[0];
- if (RARRAY_LEN(a) != 2)
- fp = Qnil;
- else
- fp = RARRAY_PTR(a)[1];
- }
-
- v = rb_rational_new1(f_to_i(ip));
-
- if (!NIL_P(fp)) {
- char *p = StringValuePtr(fp);
- long count = 0;
- VALUE l;
-
- while (*p) {
- if (rb_isdigit(*p))
- count++;
- p++;
- }
-
- l = f_expt(INT2FIX(10), LONG2NUM(count));
- v = f_mul(v, l);
- v = f_add(v, f_to_i(fp));
- v = f_div(v, l);
- }
- if (!NIL_P(si) && *StringValuePtr(si) == '-')
- v = f_negate(v);
- if (!NIL_P(exp))
- v = f_mul(v, f_expt(INT2FIX(10), f_to_i(exp)));
-#if 0
- if (!NIL_P(de) && (!NIL_P(fp) || !NIL_P(exp)))
- return rb_assoc_new(v, rb_str_new2("dummy"));
-#endif
- if (!NIL_P(de))
- v = f_div(v, f_to_i(de));
-
- return rb_assoc_new(v, re);
- }
- return rb_assoc_new(Qnil, self);
-}
-
-static VALUE
-string_to_r_strict(VALUE self)
-{
- VALUE a = string_to_r_internal(self);
- if (NIL_P(RARRAY_PTR(a)[0]) || RSTRING_LEN(RARRAY_PTR(a)[1]) > 0) {
- VALUE s = f_inspect(self);
- rb_raise(rb_eArgError, "invalid value for Rational: %s",
- StringValuePtr(s));
- }
- return RARRAY_PTR(a)[0];
-}
-
-#define id_gsub rb_intern("gsub")
-#define f_gsub(x,y,z) rb_funcall(x, id_gsub, 2, y, z)
-
-static VALUE
-string_to_r(VALUE self)
-{
- VALUE s, a, backref;
-
- backref = rb_backref_get();
- rb_match_busy(backref);
-
- s = f_gsub(self, underscores_pat, an_underscore);
- a = string_to_r_internal(s);
-
- rb_backref_set(backref);
-
- if (!NIL_P(RARRAY_PTR(a)[0]))
- return RARRAY_PTR(a)[0];
- return rb_rational_new1(INT2FIX(0));
-}
-
-#define id_to_r rb_intern("to_r")
-#define f_to_r(x) rb_funcall(x, id_to_r, 0)
-
-static VALUE
-nurat_s_convert(int argc, VALUE *argv, VALUE klass)
-{
- VALUE a1, a2, backref;
-
- rb_scan_args(argc, argv, "11", &a1, &a2);
-
- switch (TYPE(a1)) {
- case T_COMPLEX:
- if (k_exact_p(RCOMPLEX(a1)->imag) && f_zero_p(RCOMPLEX(a1)->imag))
- a1 = RCOMPLEX(a1)->real;
- }
-
- switch (TYPE(a2)) {
- case T_COMPLEX:
- if (k_exact_p(RCOMPLEX(a2)->imag) && f_zero_p(RCOMPLEX(a2)->imag))
- a2 = RCOMPLEX(a2)->real;
- }
-
- backref = rb_backref_get();
- rb_match_busy(backref);
-
- switch (TYPE(a1)) {
- case T_FIXNUM:
- case T_BIGNUM:
- break;
- case T_FLOAT:
- a1 = f_to_r(a1);
- break;
- case T_STRING:
- a1 = string_to_r_strict(a1);
- break;
- }
-
- switch (TYPE(a2)) {
- case T_FIXNUM:
- case T_BIGNUM:
- break;
- case T_FLOAT:
- a2 = f_to_r(a2);
- break;
- case T_STRING:
- a2 = string_to_r_strict(a2);
- break;
- }
-
- rb_backref_set(backref);
-
- switch (TYPE(a1)) {
- case T_RATIONAL:
- if (argc == 1 || (k_exact_p(a2) && f_one_p(a2)))
- return a1;
- }
-
- if (argc == 1) {
- if (k_numeric_p(a1) && !f_integer_p(a1))
- return a1;
- }
- else {
- if ((k_numeric_p(a1) && k_numeric_p(a2)) &&
- (!f_integer_p(a1) || !f_integer_p(a2)))
- return f_div(a1, a2);
- }
-
- {
- VALUE argv2[2];
- argv2[0] = a1;
- argv2[1] = a2;
- return nurat_s_new(argc, argv2, klass);
- }
-}
-
-#ifndef EXT_MATHN
-void
-Init_Rational(void)
-#else
void
Init_rational(void)
-#endif
{
-#undef rb_intern
-#define rb_intern(str) rb_intern_const(str)
-
- assert(fprintf(stderr, "assert() is now active\n"));
-
- id_abs = rb_intern("abs");
- id_cmp = rb_intern("<=>");
- id_convert = rb_intern("convert");
- id_equal_p = rb_intern("==");
- id_expt = rb_intern("**");
- id_floor = rb_intern("floor");
- id_format = rb_intern("format");
- id_hash = rb_intern("hash");
- id_idiv = rb_intern("div");
- id_inspect = rb_intern("inspect");
- id_integer_p = rb_intern("integer?");
- id_negate = rb_intern("-@");
- id_to_f = rb_intern("to_f");
- id_to_i = rb_intern("to_i");
- id_to_s = rb_intern("to_s");
- id_truncate = rb_intern("truncate");
-
- ml = (long)(log(DBL_MAX) / log(2.0) - 1);
-
- rb_cRational = rb_define_class(RATIONAL_NAME, rb_cNumeric);
-
- rb_define_alloc_func(rb_cRational, nurat_s_alloc);
- rb_undef_method(CLASS_OF(rb_cRational), "allocate");
-
-#if 0
- rb_define_private_method(CLASS_OF(rb_cRational), "new!", nurat_s_new_bang, -1);
- rb_define_private_method(CLASS_OF(rb_cRational), "new", nurat_s_new, -1);
-#else
- rb_undef_method(CLASS_OF(rb_cRational), "new");
-#endif
-
- rb_define_global_function(RATIONAL_NAME, nurat_f_rational, -1);
-
- rb_define_method(rb_cRational, "numerator", nurat_numerator, 0);
- rb_define_method(rb_cRational, "denominator", nurat_denominator, 0);
-
- rb_define_method(rb_cRational, "+", nurat_add, 1);
- rb_define_method(rb_cRational, "-", nurat_sub, 1);
- rb_define_method(rb_cRational, "*", nurat_mul, 1);
- rb_define_method(rb_cRational, "/", nurat_div, 1);
- rb_define_method(rb_cRational, "quo", nurat_div, 1);
- rb_define_method(rb_cRational, "fdiv", nurat_fdiv, 1);
- rb_define_method(rb_cRational, "**", nurat_expt, 1);
-
- rb_define_method(rb_cRational, "<=>", nurat_cmp, 1);
- rb_define_method(rb_cRational, "==", nurat_equal_p, 1);
- rb_define_method(rb_cRational, "coerce", nurat_coerce, 1);
-
- rb_define_method(rb_cRational, "div", nurat_idiv, 1);
-#if NUBY
- rb_define_method(rb_cRational, "//", nurat_idiv, 1);
-#endif
- rb_define_method(rb_cRational, "modulo", nurat_mod, 1);
- rb_define_method(rb_cRational, "%", nurat_mod, 1);
- rb_define_method(rb_cRational, "divmod", nurat_divmod, 1);
-
-#if 0
- rb_define_method(rb_cRational, "quot", nurat_quot, 1);
-#endif
- rb_define_method(rb_cRational, "remainder", nurat_rem, 1);
-#if 0
- rb_define_method(rb_cRational, "quotrem", nurat_quotrem, 1);
-#endif
-
- rb_define_method(rb_cRational, "abs", nurat_abs, 0);
-
-#if 0
- rb_define_method(rb_cRational, "rational?", nurat_true, 0);
- rb_define_method(rb_cRational, "exact?", nurat_true, 0);
-#endif
-
- rb_define_method(rb_cRational, "floor", nurat_floor, 0);
- rb_define_method(rb_cRational, "ceil", nurat_ceil, 0);
- rb_define_method(rb_cRational, "truncate", nurat_truncate, 0);
- rb_define_method(rb_cRational, "round", nurat_round, 0);
-
- rb_define_method(rb_cRational, "to_i", nurat_truncate, 0);
- rb_define_method(rb_cRational, "to_f", nurat_to_f, 0);
- rb_define_method(rb_cRational, "to_r", nurat_to_r, 0);
-
- rb_define_method(rb_cRational, "hash", nurat_hash, 0);
-
- rb_define_method(rb_cRational, "to_s", nurat_to_s, 0);
- rb_define_method(rb_cRational, "inspect", nurat_inspect, 0);
-
- rb_define_method(rb_cRational, "marshal_dump", nurat_marshal_dump, 0);
- rb_define_method(rb_cRational, "marshal_load", nurat_marshal_load, 1);
-
- /* --- */
-
- rb_define_method(rb_cInteger, "gcd", rb_gcd, 1);
- rb_define_method(rb_cInteger, "lcm", rb_lcm, 1);
- rb_define_method(rb_cInteger, "gcdlcm", rb_gcdlcm, 1);
-
- rb_define_method(rb_cNilClass, "to_r", nilclass_to_r, 0);
- rb_define_method(rb_cInteger, "to_r", integer_to_r, 0);
- rb_define_method(rb_cFloat, "to_r", float_to_r, 0);
-
- make_patterns();
-
- rb_define_method(rb_cString, "to_r", string_to_r, 0);
-
- rb_define_private_method(CLASS_OF(rb_cRational), "convert", nurat_s_convert, -1);
+ nurat_canonicalize(1);
}
-
-/*
-Local variables:
-c-file-style: "ruby"
-End:
-*/