зеркало из https://github.com/github/ruby.git
1522 строки
32 KiB
C
1522 строки
32 KiB
C
/*
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complex.c: Coded by Tadayoshi Funaba 2008
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This implementation is based on Keiju Ishitsuka's Complex library
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which is written in ruby.
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*/
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#include "ruby.h"
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#include <math.h>
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#define NDEBUG
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#include <assert.h>
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#ifndef COMPLEX_NAME
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#define COMPLEX_NAME "Complex"
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#endif
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#define ZERO INT2FIX(0)
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#define ONE INT2FIX(1)
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#define TWO INT2FIX(2)
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VALUE rb_cComplex;
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static ID id_abs, id_abs2, id_arg, id_cmp, id_conj, id_convert,
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id_denominator, id_divmod, id_equal_p, id_expt, id_floor, id_hash,
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id_idiv, id_inspect, id_negate, id_numerator, id_polar, id_quo,
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id_real_p, id_to_f, id_to_i, id_to_r, id_to_s;
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#define f_boolcast(x) ((x) ? Qtrue : Qfalse)
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#define binop(n,op) \
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inline static VALUE \
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f_##n(VALUE x, VALUE y)\
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{\
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return rb_funcall(x, op, 1, y);\
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}
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#define fun1(n) \
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inline static VALUE \
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f_##n(VALUE x)\
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{\
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return rb_funcall(x, id_##n, 0);\
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}
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#define fun2(n) \
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inline static VALUE \
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f_##n(VALUE x, VALUE y)\
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{\
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return rb_funcall(x, id_##n, 1, y);\
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}
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#define math1(n) \
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inline static VALUE \
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m_##n(VALUE x)\
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{\
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return rb_funcall(rb_mMath, id_##n, 1, x);\
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}
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#define math2(n) \
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inline static VALUE \
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m_##n(VALUE x, VALUE y)\
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{\
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return rb_funcall(rb_mMath, id_##n, 2, x, y);\
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}
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#define PRESERVE_SIGNEDZERO
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inline static VALUE
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f_add(VALUE x, VALUE y)
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{
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#ifndef PRESERVE_SIGNEDZERO
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if (FIXNUM_P(y) && FIX2LONG(y) == 0)
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return x;
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else if (FIXNUM_P(x) && FIX2LONG(x) == 0)
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return y;
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#endif
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return rb_funcall(x, '+', 1, y);
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}
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inline static VALUE
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f_cmp(VALUE x, VALUE y)
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{
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if (FIXNUM_P(x) && FIXNUM_P(y)) {
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long c = FIX2LONG(x) - FIX2LONG(y);
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if (c > 0)
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c = 1;
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else if (c < 0)
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c = -1;
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return INT2FIX(c);
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}
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return rb_funcall(x, id_cmp, 1, y);
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}
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inline static VALUE
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f_div(VALUE x, VALUE y)
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{
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if (FIXNUM_P(y) && FIX2LONG(y) == 1)
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return x;
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return rb_funcall(x, '/', 1, y);
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}
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inline static VALUE
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f_gt_p(VALUE x, VALUE y)
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{
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if (FIXNUM_P(x) && FIXNUM_P(y))
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return f_boolcast(FIX2LONG(x) > FIX2LONG(y));
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return rb_funcall(x, '>', 1, y);
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}
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inline static VALUE
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f_lt_p(VALUE x, VALUE y)
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{
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if (FIXNUM_P(x) && FIXNUM_P(y))
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return f_boolcast(FIX2LONG(x) < FIX2LONG(y));
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return rb_funcall(x, '<', 1, y);
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}
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binop(mod, '%')
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inline static VALUE
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f_mul(VALUE x, VALUE y)
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{
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#ifndef PRESERVE_SIGNEDZERO
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if (FIXNUM_P(y)) {
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long iy = FIX2LONG(y);
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if (iy == 0) {
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if (FIXNUM_P(x) || TYPE(x) == T_BIGNUM)
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return ZERO;
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}
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else if (iy == 1)
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return x;
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}
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else if (FIXNUM_P(x)) {
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long ix = FIX2LONG(x);
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if (ix == 0) {
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if (FIXNUM_P(y) || TYPE(y) == T_BIGNUM)
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return ZERO;
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}
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else if (ix == 1)
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return y;
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}
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#endif
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return rb_funcall(x, '*', 1, y);
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}
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inline static VALUE
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f_sub(VALUE x, VALUE y)
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{
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#ifndef PRESERVE_SIGNEDZERO
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if (FIXNUM_P(y) && FIX2LONG(y) == 0)
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return x;
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#endif
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return rb_funcall(x, '-', 1, y);
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}
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binop(xor, '^')
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fun1(abs)
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fun1(abs2)
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fun1(arg)
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fun1(conj)
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fun1(denominator)
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fun1(floor)
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fun1(hash)
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fun1(inspect)
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fun1(negate)
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fun1(numerator)
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fun1(polar)
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fun1(real_p)
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fun1(to_f)
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fun1(to_i)
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fun1(to_r)
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fun1(to_s)
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fun2(divmod)
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inline static VALUE
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f_equal_p(VALUE x, VALUE y)
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{
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if (FIXNUM_P(x) && FIXNUM_P(y))
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return f_boolcast(FIX2LONG(x) == FIX2LONG(y));
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return rb_funcall(x, id_equal_p, 1, y);
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}
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fun2(expt)
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fun2(idiv)
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fun2(quo)
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inline static VALUE
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f_negative_p(VALUE x)
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{
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if (FIXNUM_P(x))
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return f_boolcast(FIX2LONG(x) < 0);
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return rb_funcall(x, '<', 1, ZERO);
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}
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#define f_positive_p(x) (!f_negative_p(x))
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inline static VALUE
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f_zero_p(VALUE x)
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{
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if (FIXNUM_P(x))
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return f_boolcast(FIX2LONG(x) == 0);
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return rb_funcall(x, id_equal_p, 1, ZERO);
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}
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#define f_nonzero_p(x) (!f_zero_p(x))
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inline static VALUE
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f_one_p(VALUE x)
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{
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if (FIXNUM_P(x))
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return f_boolcast(FIX2LONG(x) == 1);
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return rb_funcall(x, id_equal_p, 1, ONE);
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}
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inline static VALUE
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f_kind_of_p(VALUE x, VALUE c)
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{
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return rb_obj_is_kind_of(x, c);
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}
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inline static VALUE
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k_numeric_p(VALUE x)
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{
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return f_kind_of_p(x, rb_cNumeric);
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}
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inline static VALUE
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k_integer_p(VALUE x)
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{
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return f_kind_of_p(x, rb_cInteger);
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}
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inline static VALUE
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k_float_p(VALUE x)
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{
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return f_kind_of_p(x, rb_cFloat);
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}
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inline static VALUE
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k_rational_p(VALUE x)
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{
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return f_kind_of_p(x, rb_cRational);
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}
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inline static VALUE
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k_complex_p(VALUE x)
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{
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return f_kind_of_p(x, rb_cComplex);
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}
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#define k_exact_p(x) (!k_float_p(x))
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#define k_inexact_p(x) k_float_p(x)
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#define get_dat1(x) \
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struct RComplex *dat;\
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dat = ((struct RComplex *)(x))
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#define get_dat2(x,y) \
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struct RComplex *adat, *bdat;\
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adat = ((struct RComplex *)(x));\
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bdat = ((struct RComplex *)(y))
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inline static VALUE
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nucomp_s_new_internal(VALUE klass, VALUE real, VALUE imag)
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{
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NEWOBJ(obj, struct RComplex);
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OBJSETUP(obj, klass, T_COMPLEX);
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obj->real = real;
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obj->imag = imag;
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return (VALUE)obj;
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}
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static VALUE
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nucomp_s_alloc(VALUE klass)
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{
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return nucomp_s_new_internal(klass, ZERO, ZERO);
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}
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#if 0
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static VALUE
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nucomp_s_new_bang(int argc, VALUE *argv, VALUE klass)
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{
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VALUE real, imag;
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switch (rb_scan_args(argc, argv, "11", &real, &imag)) {
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case 1:
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if (!k_numeric_p(real))
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real = f_to_i(real);
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imag = ZERO;
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break;
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default:
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if (!k_numeric_p(real))
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real = f_to_i(real);
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if (!k_numeric_p(imag))
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imag = f_to_i(imag);
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break;
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}
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return nucomp_s_new_internal(klass, real, imag);
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}
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#endif
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inline static VALUE
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f_complex_new_bang1(VALUE klass, VALUE x)
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{
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assert(!k_complex_p(x));
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return nucomp_s_new_internal(klass, x, ZERO);
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}
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inline static VALUE
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f_complex_new_bang2(VALUE klass, VALUE x, VALUE y)
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{
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assert(!k_complex_p(x));
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assert(!k_complex_p(y));
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return nucomp_s_new_internal(klass, x, y);
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}
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#ifdef CANONICALIZATION_FOR_MATHN
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#define CANON
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#endif
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#ifdef CANON
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static int canonicalization = 0;
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void
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nucomp_canonicalization(int f)
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{
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canonicalization = f;
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}
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#endif
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inline static void
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nucomp_real_check(VALUE num)
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{
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switch (TYPE(num)) {
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case T_FIXNUM:
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case T_BIGNUM:
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case T_FLOAT:
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case T_RATIONAL:
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break;
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default:
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if (!k_numeric_p(num) || !f_real_p(num))
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rb_raise(rb_eArgError, "not a real");
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}
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}
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inline static VALUE
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nucomp_s_canonicalize_internal(VALUE klass, VALUE real, VALUE imag)
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{
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#ifdef CANON
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#define CL_CANON
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#ifdef CL_CANON
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if (f_zero_p(imag) && k_exact_p(imag) && canonicalization)
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return real;
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#else
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if (f_zero_p(imag) && canonicalization)
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return real;
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#endif
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#endif
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if (f_real_p(real) && f_real_p(imag))
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return nucomp_s_new_internal(klass, real, imag);
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else if (f_real_p(real)) {
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get_dat1(imag);
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return nucomp_s_new_internal(klass,
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f_sub(real, dat->imag),
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f_add(ZERO, dat->real));
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}
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else if (f_real_p(imag)) {
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get_dat1(real);
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return nucomp_s_new_internal(klass,
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dat->real,
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f_add(dat->imag, imag));
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}
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else {
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get_dat2(real, imag);
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return nucomp_s_new_internal(klass,
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f_sub(adat->real, bdat->imag),
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f_add(adat->imag, bdat->real));
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}
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}
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static VALUE
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nucomp_s_new(int argc, VALUE *argv, VALUE klass)
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{
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VALUE real, imag;
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switch (rb_scan_args(argc, argv, "11", &real, &imag)) {
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case 1:
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nucomp_real_check(real);
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imag = ZERO;
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break;
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default:
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nucomp_real_check(real);
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nucomp_real_check(imag);
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break;
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}
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return nucomp_s_canonicalize_internal(klass, real, imag);
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}
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inline static VALUE
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f_complex_new1(VALUE klass, VALUE x)
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{
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assert(!k_complex_p(x));
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return nucomp_s_canonicalize_internal(klass, x, ZERO);
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}
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inline static VALUE
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f_complex_new2(VALUE klass, VALUE x, VALUE y)
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{
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assert(!k_complex_p(x));
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return nucomp_s_canonicalize_internal(klass, x, y);
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}
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static VALUE
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nucomp_f_complex(int argc, VALUE *argv, VALUE klass)
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{
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return rb_funcall2(rb_cComplex, id_convert, argc, argv);
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}
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#define imp1(n) \
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extern VALUE rb_math_##n(VALUE x);\
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inline static VALUE \
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m_##n##_bang(VALUE x)\
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{\
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return rb_math_##n(x);\
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}
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#define imp2(n) \
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extern VALUE rb_math_##n(VALUE x, VALUE y);\
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inline static VALUE \
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m_##n##_bang(VALUE x, VALUE y)\
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{\
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return rb_math_##n(x, y);\
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}
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imp2(atan2)
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imp1(cos)
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imp1(cosh)
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imp1(exp)
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imp2(hypot)
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#define m_hypot(x,y) m_hypot_bang(x,y)
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extern VALUE rb_math_log(int argc, VALUE *argv);
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static VALUE
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m_log_bang(VALUE x)
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{
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return rb_math_log(1, &x);
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}
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imp1(sin)
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imp1(sinh)
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imp1(sqrt)
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static VALUE
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m_cos(VALUE x)
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{
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if (f_real_p(x))
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return m_cos_bang(x);
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{
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get_dat1(x);
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return f_complex_new2(rb_cComplex,
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f_mul(m_cos_bang(dat->real),
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m_cosh_bang(dat->imag)),
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f_mul(f_negate(m_sin_bang(dat->real)),
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m_sinh_bang(dat->imag)));
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}
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}
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static VALUE
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m_sin(VALUE x)
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{
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if (f_real_p(x))
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return m_sin_bang(x);
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{
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get_dat1(x);
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return f_complex_new2(rb_cComplex,
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f_mul(m_sin_bang(dat->real),
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m_cosh_bang(dat->imag)),
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f_mul(m_cos_bang(dat->real),
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m_sinh_bang(dat->imag)));
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}
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}
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#if 0
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static VALUE
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m_sqrt(VALUE x)
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{
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if (f_real_p(x)) {
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if (f_positive_p(x))
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return m_sqrt_bang(x);
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return f_complex_new2(rb_cComplex, ZERO, m_sqrt_bang(f_negate(x)));
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}
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else {
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get_dat1(x);
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if (f_negative_p(dat->imag))
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return f_conj(m_sqrt(f_conj(x)));
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else {
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VALUE a = f_abs(x);
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return f_complex_new2(rb_cComplex,
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m_sqrt_bang(f_div(f_add(a, dat->real), TWO)),
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m_sqrt_bang(f_div(f_sub(a, dat->real), TWO)));
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}
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}
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}
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#endif
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inline static VALUE
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f_complex_polar(VALUE klass, VALUE x, VALUE y)
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{
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assert(!k_complex_p(x));
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assert(!k_complex_p(y));
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return nucomp_s_canonicalize_internal(klass,
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f_mul(x, m_cos(y)),
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f_mul(x, m_sin(y)));
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}
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static VALUE
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nucomp_s_polar(VALUE klass, VALUE abs, VALUE arg)
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{
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return f_complex_polar(klass, abs, arg);
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}
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static VALUE
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nucomp_real(VALUE self)
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{
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get_dat1(self);
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return dat->real;
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}
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static VALUE
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nucomp_imag(VALUE self)
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{
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get_dat1(self);
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return dat->imag;
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}
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static VALUE
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nucomp_negate(VALUE self)
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{
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get_dat1(self);
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return f_complex_new2(CLASS_OF(self),
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f_negate(dat->real), f_negate(dat->imag));
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}
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static VALUE
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nucomp_add(VALUE self, VALUE other)
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{
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if (k_complex_p(other)) {
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VALUE real, imag;
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get_dat2(self, other);
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real = f_add(adat->real, bdat->real);
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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
|
|
{
|
|
double f = RFLOAT_VALUE(x);
|
|
return f_boolcast(!isnan(f) && signbit(f));
|
|
}
|
|
#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_format(VALUE self, VALUE (*func)(VALUE))
|
|
{
|
|
VALUE s, impos;
|
|
|
|
get_dat1(self);
|
|
|
|
impos = f_tpositive_p(dat->imag);
|
|
|
|
s = (*func)(dat->real);
|
|
rb_str_cat2(s, !impos ? "-" : "+");
|
|
|
|
rb_str_concat(s, (*func)(f_abs(dat->imag)));
|
|
if (!rb_isdigit(RSTRING_PTR(s)[RSTRING_LEN(s) - 1]))
|
|
rb_str_cat2(s, "*");
|
|
rb_str_cat2(s, "i");
|
|
|
|
return s;
|
|
}
|
|
|
|
static VALUE
|
|
nucomp_to_s(VALUE self)
|
|
{
|
|
return nucomp_format(self, f_to_s);
|
|
}
|
|
|
|
static VALUE
|
|
nucomp_inspect(VALUE self)
|
|
{
|
|
VALUE s;
|
|
|
|
s = rb_usascii_str_new2("(");
|
|
rb_str_concat(s, nucomp_format(self, f_inspect));
|
|
rb_str_cat2(s, ")");
|
|
|
|
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_usascii_str_new2("/");
|
|
rb_gc_register_mark_object(a_slash);
|
|
|
|
a_dot_and_an_e = rb_usascii_str_new2(".eE");
|
|
rb_gc_register_mark_object(a_dot_and_an_e);
|
|
|
|
null_string = rb_usascii_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_usascii_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_usascii_str_new2("");
|
|
{
|
|
VALUE t;
|
|
|
|
t = f_aref(m, INT2FIX(2));
|
|
if (NIL_P(t))
|
|
t = rb_usascii_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_usascii_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 convert(): %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;
|
|
}
|
|
|
|
void
|
|
Init_Complex(void)
|
|
{
|
|
#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 0 /* 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);
|
|
|
|
rb_define_const(rb_cComplex, "I",
|
|
f_complex_new_bang2(rb_cComplex, ZERO, ONE));
|
|
}
|
|
|
|
/*
|
|
Local variables:
|
|
c-file-style: "ruby"
|
|
End:
|
|
*/
|