diff options
Diffstat (limited to 'trunk/complex.c')
| -rw-r--r-- | trunk/complex.c | 1474 |
1 files changed, 0 insertions, 1474 deletions
diff --git a/trunk/complex.c b/trunk/complex.c deleted file mode 100644 index da8945ea9f..0000000000 --- a/trunk/complex.c +++ /dev/null @@ -1,1474 +0,0 @@ -/* - 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) - -VALUE rb_cComplex; - -static ID id_Unify, id_abs, id_abs2, id_arg, id_atan2_bang, id_cmp, - id_conjugate, id_convert, id_cos, id_denominator, id_divmod, - id_equal_p, id_exact_p, id_exp_bang, id_expt, id_floor, id_format, - id_hypot, id_idiv, id_inspect, id_log_bang, id_negate, id_new, id_new_bang, - id_numerator, id_polar, id_quo, id_scalar_p, id_sin, id_sqrt, id_to_f, - id_to_i, id_to_r, 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);\ -} - -#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);\ -} - -inline static VALUE -f_add(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - if (FIX2LONG(y) == 0) - return x; - } - else if (FIXNUM_P(x)) { - if (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 (TYPE(x) == T_FLOAT) - return rb_float_new(0.0); - else - return ZERO; - } - else if (_iy == 1) - return x; - } - else if (FIXNUM_P(x)) { - long _ix = FIX2LONG(x); - if (_ix == 0) { - if (TYPE(y) == T_FLOAT) - return rb_float_new(0.0); - else - 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)) - if (FIX2LONG(y) == 0) - return x; - return rb_funcall(x, '-', 1, y); -} - -binop(xor, '^') - -fun1(abs) -fun1(abs2) -fun1(arg) -fun1(conjugate) -fun1(denominator) -fun1(exact_p) -fun1(floor) -fun1(inspect) -fun1(negate) -fun1(numerator) -fun1(polar) -fun1(scalar_p) -fun1(to_f) -fun1(to_i) -fun1(to_r) -fun1(to_s) -fun1(truncate) - -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); -} - -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); -} - -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 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 image) -{ - NEWOBJ(obj, struct RComplex); - OBJSETUP(obj, klass, T_COMPLEX); - - obj->real = real; - obj->image = image; - - return (VALUE)obj; -} - -static VALUE -nucomp_s_alloc(VALUE klass) -{ - return nucomp_s_new_internal(klass, ZERO, ZERO); -} - -static VALUE -nucomp_s_new_bang(int argc, VALUE *argv, VALUE klass) -{ - VALUE real, image; - - switch (rb_scan_args(argc, argv, "11", &real, &image)) { - case 1: - if (!k_numeric_p(real)) - real = f_to_i(real); - image = ZERO; - break; - default: - if (!k_numeric_p(real)) - real = f_to_i(real); - if (!k_numeric_p(image)) - image = f_to_i(image); - break; - } - - return nucomp_s_new_internal(klass, real, image); -} - -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); -} - -#define f_unify_p(klass) rb_const_defined(klass, id_Unify) - -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_scalar_p(num)) - rb_raise(rb_eArgError, "not a real"); - } -} - -inline static VALUE -nucomp_s_canonicalize_internal(VALUE klass, VALUE real, VALUE image) -{ -#define CL_CANON -#ifdef CL_CANON - if (f_zero_p(image) && f_unify_p(klass) && - !k_float_p(real) && !k_float_p(image)) - return real; -#else - if (f_zero_p(image) && f_unify_p(klass)) - return real; -#endif - else if (f_scalar_p(real) && f_scalar_p(image)) - return nucomp_s_new_internal(klass, real, image); - else if (f_scalar_p(real)) { - get_dat1(image); - - return nucomp_s_new_internal(klass, - f_sub(real, dat->image), - f_add(ZERO, dat->real)); - } - else if (f_scalar_p(image)) { - get_dat1(real); - - return nucomp_s_new_internal(klass, - dat->real, - f_add(dat->image, image)); - } - else { - get_dat2(real, image); - - return nucomp_s_new_internal(klass, - f_sub(adat->real, bdat->image), - f_add(adat->image, bdat->real)); - } -} - -#if 0 -static VALUE -nucomp_s_canonicalize(int argc, VALUE *argv, VALUE klass) -{ - VALUE real, image; - - switch (rb_scan_args(argc, argv, "11", &real, &image)) { - case 1: - image = ZERO; - break; - } - - nucomp_real_check(real); - nucomp_real_check(image); - - return nucomp_s_canonicalize_internal(klass, real, image); -} -#endif - -static VALUE -nucomp_s_new(int argc, VALUE *argv, VALUE klass) -{ - VALUE real, image; - - switch (rb_scan_args(argc, argv, "11", &real, &image)) { - case 1: - image = ZERO; - break; - } - - nucomp_real_check(real); - nucomp_real_check(image); - - return nucomp_s_canonicalize_internal(klass, real, image); -} - -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) -{ - get_dat1(x); - - if (f_scalar_p(x)) - return m_cos_bang(x); - return f_complex_new2(rb_cComplex, - f_mul(m_cos_bang(dat->real), - m_cosh_bang(dat->image)), - f_mul(f_negate(m_sin_bang(dat->real)), - m_sinh_bang(dat->image))); -} - -static VALUE -m_sin(VALUE x) -{ - get_dat1(x); - - if (f_scalar_p(x)) - return m_sin_bang(x); - return f_complex_new2(rb_cComplex, - f_mul(m_sin_bang(dat->real), - m_cosh_bang(dat->image)), - f_mul(m_cos_bang(dat->real), - m_sinh_bang(dat->image))); -} - -static VALUE -m_sqrt(VALUE x) -{ - if (f_scalar_p(x)) { - if (!f_negative_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->image)) - return f_conjugate(m_sqrt(f_conjugate(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))); - } - } -} - -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_image(VALUE self) -{ - get_dat1(self); - return dat->image; -} - -static VALUE -nucomp_add(VALUE self, VALUE other) -{ - if (k_complex_p(other)) { - VALUE real, image; - - get_dat2(self, other); - - real = f_add(adat->real, bdat->real); - image = f_add(adat->image, bdat->image); - - return f_complex_new2(CLASS_OF(self), real, image); - } - if (k_numeric_p(other) && f_scalar_p(other)) { - get_dat1(self); - - return f_complex_new2(CLASS_OF(self), - f_add(dat->real, other), dat->image); - } - return rb_num_coerce_bin(self, other, '+'); -} - -static VALUE -nucomp_sub(VALUE self, VALUE other) -{ - if (k_complex_p(other)) { - VALUE real, image; - - get_dat2(self, other); - - real = f_sub(adat->real, bdat->real); - image = f_sub(adat->image, bdat->image); - - return f_complex_new2(CLASS_OF(self), real, image); - } - if (k_numeric_p(other) && f_scalar_p(other)) { - get_dat1(self); - - return f_complex_new2(CLASS_OF(self), - f_sub(dat->real, other), dat->image); - } - return rb_num_coerce_bin(self, other, '-'); -} - -static VALUE -nucomp_mul(VALUE self, VALUE other) -{ - if (k_complex_p(other)) { - VALUE real, image; - - get_dat2(self, other); - - real = f_sub(f_mul(adat->real, bdat->real), - f_mul(adat->image, bdat->image)); - image = f_add(f_mul(adat->real, bdat->image), - f_mul(adat->image, bdat->real)); - - return f_complex_new2(CLASS_OF(self), real, image); - } - if (k_numeric_p(other) && f_scalar_p(other)) { - get_dat1(self); - - return f_complex_new2(CLASS_OF(self), - f_mul(dat->real, other), - f_mul(dat->image, 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->image) == T_FLOAT || - TYPE(bdat->real) == T_FLOAT || - TYPE(bdat->image) == T_FLOAT) { - VALUE magn = m_hypot(bdat->real, bdat->image); - VALUE tmp = f_complex_new_bang2(CLASS_OF(self), - f_div(bdat->real, magn), - f_div(bdat->image, magn)); - return f_div(f_mul(self, f_conjugate(tmp)), magn); - } - return f_div(f_mul(self, f_conjugate(other)), f_abs2(other)); - } - if (k_numeric_p(other) && f_scalar_p(other)) { - get_dat1(self); - - return f_complex_new2(CLASS_OF(self), - f_div(dat->real, other), - f_div(dat->image, 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->image)), other); -} - -static VALUE -nucomp_expt(VALUE self, VALUE other) -{ - if (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->image; - 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_zero_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->image, dat->image)), - f_mul(f_mul(TWO, dat->real), dat->image)); - 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_scalar_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->image, bdat->image)); - } - if (k_numeric_p(other) && f_scalar_p(other)) { - get_dat1(self); - - return f_boolcast(f_equal_p(dat->real, other) && f_zero_p(dat->image)); - } - return f_equal_p(other, self); -} - -static VALUE -nucomp_coerce(VALUE self, VALUE other) -{ - if (k_numeric_p(other) && f_scalar_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->image); -} - -static VALUE -nucomp_abs2(VALUE self) -{ - get_dat1(self); - return f_add(f_mul(dat->real, dat->real), - f_mul(dat->image, dat->image)); -} - -static VALUE -nucomp_arg(VALUE self) -{ - get_dat1(self); - return m_atan2_bang(dat->image, dat->real); -} - -static VALUE -nucomp_polar(VALUE self) -{ - return rb_assoc_new(f_abs(self), f_arg(self)); -} - -static VALUE -nucomp_conjugate(VALUE self) -{ - get_dat1(self); - return f_complex_new2(CLASS_OF(self), dat->real, f_negate(dat->image)); -} - -#if 0 -static VALUE -nucomp_real_p(VALUE self) -{ - return Qfalse; -} - -static VALUE -nucomp_complex_p(VALUE self) -{ - return Qtrue; -} - -static VALUE -nucomp_exact_p(VALUE self) -{ - get_dat1(self); - return f_boolcast(f_exact_p(dat->real) && f_exact_p(dat->image)); -} - -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->image)); -} - -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->image), - f_div(cd, f_denominator(dat->image)))); -} - -static VALUE -nucomp_hash(VALUE self) -{ - get_dat1(self); - return f_xor(dat->real, dat->image); -} - -#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->image); - - s = f_to_s(dat->real); - rb_str_cat2(s, !impos ? "-" : "+"); - - rb_str_concat(s, f_to_s(f_abs(dat->image))); - rb_str_cat2(s, "i"); - - return s; -} - -static VALUE -nucomp_inspect(VALUE self) -{ - VALUE s, impos; - - get_dat1(self); - - impos = f_tpositive_p(dat->image); - - 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->image))); - rb_str_cat2(s, "i)"); - - return s; -} - -static VALUE -nucomp_marshal_dump(VALUE self) -{ - get_dat1(self); - return rb_assoc_new(dat->real, dat->image); -} - -static VALUE -nucomp_marshal_load(VALUE self, VALUE a) -{ - get_dat1(self); - dat->real = RARRAY_PTR(a)[0]; - dat->image = RARRAY_PTR(a)[1]; - 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_scalar_p(VALUE self) -{ - return Qfalse; -} - -static VALUE -nucomp_to_i(VALUE self) -{ - get_dat1(self); - - if (k_float_p(dat->image) || !f_zero_p(dat->image)) { - 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_float_p(dat->image) || !f_zero_p(dat->image)) { - 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_float_p(dat->image) || !f_zero_p(dat->image)) { - 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 DIGITS "(?:\\d(?:_\\d|\\d)*)" -#define NUMERATOR "(?:" DIGITS "?\\.)?" DIGITS "(?:[eE][-+]?" DIGITS ")?" -#define DENOMINATOR DIGITS -#define NUMBER "[-+]?" NUMERATOR "(?:\\/" DENOMINATOR ")?" -#define NUMBERNOS NUMERATOR "(?:\\/" DENOMINATOR ")?" -#define PATTERN0 "\\A(" NUMBER ")@(" NUMBER ")" -#define PATTERN1 "\\A([-+])?(" NUMBER ")?[iIjJ]" -#define PATTERN2 "\\A(" NUMBER ")(([-+])(" NUMBERNOS ")?[iIjJ])?" - -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_global_variable(&comp_pat0); - - comp_pat1 = rb_reg_new(comp_pat1_source, sizeof comp_pat1_source - 1, 0); - rb_global_variable(&comp_pat1); - - comp_pat2 = rb_reg_new(comp_pat2_source, sizeof comp_pat2_source - 1, 0); - rb_global_variable(&comp_pat2); - - a_slash = rb_str_new2("/"); - rb_global_variable(&a_slash); - - a_dot_and_an_e = rb_str_new2(".eE"); - rb_global_variable(&a_dot_and_an_e); - - null_string = rb_str_new2(""); - rb_global_variable(&null_string); - - underscores_pat = rb_reg_new(underscores_pat_source, - sizeof underscores_pat_source - 1, 0); - rb_global_variable(&underscores_pat); - - an_underscore = rb_str_new2("_"); - rb_global_variable(&an_underscore); -} - -#define id_strip rb_intern("strip") -#define f_strip(x) rb_funcall(x, id_strip, 0) - -#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 = f_strip(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, "02", &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_float_p(dat->image) && f_zero_p(dat->image)) - a1 = dat->real; - } - } - - switch (TYPE(a2)) { - case T_COMPLEX: - { - get_dat1(a2); - - if (!k_float_p(dat->image) && f_zero_p(dat->image)) - a2 = dat->real; - } - } - - switch (TYPE(a1)) { - case T_COMPLEX: - if (NIL_P(a2) || f_zero_p(a2)) - return a1; - } - - { - VALUE argv2[2]; - argv2[0] = a1; - argv2[1] = a2; - return nucomp_s_new(argc, argv2, klass); - } -} - -/* --- */ - -#define id_Complex rb_intern("Complex") - -static VALUE -numeric_re(VALUE self) -{ - return rb_Complex1(self); -} - -static VALUE -numeric_im(VALUE self) -{ - return rb_Complex2(ZERO, self); -} - -static VALUE -numeric_real(VALUE self) -{ - return self; -} - -static VALUE -numeric_image(VALUE self) -{ - return INT2FIX(0); -} - -#define id_PI rb_intern("PI") - -static VALUE -numeric_arg(VALUE self) -{ - if (!f_negative_p(self)) - return INT2FIX(0); - return rb_const_get(rb_mMath, id_PI); -} - -static VALUE -numeric_polar(VALUE self) -{ - return rb_assoc_new(f_abs(self), f_arg(self)); -} - -static VALUE -numeric_conjugate(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_Unify = rb_intern("Unify"); - id_abs = rb_intern("abs"); - id_abs2 = rb_intern("abs2"); - id_arg = rb_intern("arg"); - id_atan2_bang = rb_intern("atan2!"); - id_cmp = rb_intern("<=>"); - id_conjugate = rb_intern("conjugate"); - id_convert = rb_intern("convert"); - id_cos = rb_intern("cos"); - id_denominator = rb_intern("denominator"); - id_divmod = rb_intern("divmod"); - id_equal_p = rb_intern("=="); - id_exact_p = rb_intern("exact?"); - id_exp_bang = rb_intern("exp!"); - id_expt = rb_intern("**"); - id_floor = rb_intern("floor"); - id_format = rb_intern("format"); - id_hypot = rb_intern("hypot"); - id_idiv = rb_intern("div"); - id_inspect = rb_intern("inspect"); - id_log_bang = rb_intern("log!"); - id_negate = rb_intern("-@"); - id_new = rb_intern("new"); - id_new_bang = rb_intern("new!"); - id_numerator = rb_intern("numerator"); - id_polar = rb_intern("polar"); - id_quo = rb_intern("quo"); - id_scalar_p = rb_intern("scalar?"); - id_sin = rb_intern("sin"); - id_sqrt = rb_intern("sqrt"); - 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"); - id_truncate = rb_intern("truncate"); - - rb_cComplex = rb_define_class(COMPLEX_NAME, rb_cNumeric); - - rb_define_alloc_func(rb_cComplex, nucomp_s_alloc); - rb_funcall(rb_cComplex, rb_intern("private_class_method"), 1, - ID2SYM(rb_intern("allocate"))); - - rb_define_singleton_method(rb_cComplex, "new!", nucomp_s_new_bang, -1); - rb_funcall(rb_cComplex, rb_intern("private_class_method"), 1, - ID2SYM(rb_intern("new!"))); - - rb_define_singleton_method(rb_cComplex, "new", nucomp_s_new, -1); - rb_funcall(rb_cComplex, rb_intern("private_class_method"), 1, - ID2SYM(rb_intern("new"))); - -#if 0 - rb_define_singleton_method(rb_cComplex, "rect", nucomp_s_new, -1); - rb_define_singleton_method(rb_cComplex, "rectangular", nucomp_s_new, -1); -#endif - 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, "image", nucomp_image, 0); - rb_define_method(rb_cComplex, "imag", nucomp_image, 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); -#if 0 - rb_define_method(rb_cComplex, "magnitude", nucomp_abs, 0); -#endif - 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, "polar", nucomp_polar, 0); - rb_define_method(rb_cComplex, "conjugate", nucomp_conjugate, 0); - rb_define_method(rb_cComplex, "conj", nucomp_conjugate, 0); -#if 0 - rb_define_method(rb_cComplex, "~", nucomp_conjugate, 0); /* gcc */ -#endif - -#if 0 - rb_define_method(rb_cComplex, "real?", nucomp_real_p, 0); - rb_define_method(rb_cComplex, "complex?", nucomp_complex_p, 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, "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, "scalar?", nucomp_scalar_p, 0); - 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_singleton_method(rb_cComplex, "convert", nucomp_s_convert, -1); - rb_funcall(rb_cComplex, rb_intern("private_class_method"), 1, - ID2SYM(rb_intern("convert"))); - - /* --- */ - - rb_define_method(rb_cNumeric, "re", numeric_re, 0); - rb_define_method(rb_cNumeric, "im", numeric_im, 0); - rb_define_method(rb_cNumeric, "real", numeric_real, 0); - rb_define_method(rb_cNumeric, "image", numeric_image, 0); - rb_define_method(rb_cNumeric, "imag", numeric_image, 0); - rb_define_method(rb_cNumeric, "arg", numeric_arg, 0); - rb_define_method(rb_cNumeric, "angle", numeric_arg, 0); - rb_define_method(rb_cNumeric, "polar", numeric_polar, 0); - rb_define_method(rb_cNumeric, "conjugate", numeric_conjugate, 0); - rb_define_method(rb_cNumeric, "conj", numeric_conjugate, 0); - - rb_define_const(rb_cComplex, "I", - f_complex_new_bang2(rb_cComplex, ZERO, ONE)); -} |