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, '/'); }
/* * A complex number can be represented as a paired real number with * imaginary unit; a+bi. Where a is real part, b is imaginary part * and i is imaginary unit. Real a equals complex a+0i * mathematically. * * In ruby, you can create complex object with Complex, Complex::rect, * Complex::polar or to_c method. * * Complex(1) #=> (1+0i) * Complex(2, 3) #=> (2+3i) * Complex.polar(2, 3) #=> (-1.9799849932008908+0.2822400161197344i) * 3.to_c #=> (3+0i) * * You can also create complex object from floating-point numbers or * strings. * * Complex(0.3) #=> (0.3+0i) * Complex('0.3-0.5i') #=> (0.3-0.5i) * Complex('2/3+3/4i') #=> ((2/3)+(3/4)*i) * Complex('1@2') #=> (-0.4161468365471424+0.9092974268256817i) * * 0.3.to_c #=> (0.3+0i) * '0.3-0.5i'.to_c #=> (0.3-0.5i) * '2/3+3/4i'.to_c #=> ((2/3)+(3/4)*i) * '1@2'.to_c #=> (-0.4161468365471424+0.9092974268256817i) * * A complex object is either an exact or an inexact number. * * Complex(1, 1) / 2 #=> ((1/2)+(1/2)*i) * Complex(1, 1) / 2.0 #=> (0.5+0.5i) */ void Init_Complex(void) { VALUE compat; #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_arg = rb_intern("arg"); id_convert = rb_intern("convert"); id_denominator = rb_intern("denominator"); id_eqeq_p = rb_intern("=="); id_expt = rb_intern("**"); id_fdiv = rb_intern("fdiv"); id_negate = rb_intern("-@"); id_numerator = rb_intern("numerator"); 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_i_real = rb_intern("@real"); id_i_imag = rb_intern("@image"); /* @image, not @imag */ rb_cComplex = rb_define_class("Complex", 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, -1); rb_define_global_function("Complex", 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, ">="); rb_undef_method(rb_cComplex, "between?"); rb_undef_method(rb_cComplex, "div"); 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, "remainder"); rb_undef_method(rb_cComplex, "round"); rb_undef_method(rb_cComplex, "step"); rb_undef_method(rb_cComplex, "truncate"); rb_undef_method(rb_cComplex, "i"); 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_eqeq_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_private_method(rb_cComplex, "marshal_dump", nucomp_marshal_dump, 0); compat = rb_define_class_under(rb_cComplex, "compatible", rb_cObject); /* :nodoc: */ rb_define_private_method(compat, "marshal_load", nucomp_marshal_load, 1); rb_marshal_define_compat(rb_cComplex, compat, nucomp_dumper, nucomp_loader); /* --- */ 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_cComplex, "rationalize", nucomp_rationalize, -1); rb_define_method(rb_cComplex, "to_c", nucomp_to_c, 0); rb_define_method(rb_cNilClass, "to_c", nilclass_to_c, 0); rb_define_method(rb_cNumeric, "to_c", numeric_to_c, 0); 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_method(rb_cFloat, "arg", float_arg, 0); rb_define_method(rb_cFloat, "angle", float_arg, 0); rb_define_method(rb_cFloat, "phase", float_arg, 0); /* * The imaginary unit. */ rb_define_const(rb_cComplex, "I", f_complex_new_bang2(rb_cComplex, ZERO, ONE)); rb_provide("complex.so"); /* for backward compatibility */ }
static VALUE nucomp_s_convert(int argc, VALUE *argv, VALUE klass) { VALUE a1, a2, backref; rb_scan_args(argc, argv, "11", &a1, &a2); if (NIL_P(a1) || (argc == 2 && NIL_P(a2))) rb_raise(rb_eTypeError, "can't convert nil into Complex"); backref = rb_backref_get(); rb_match_busy(backref); if (RB_TYPE_P(a1, T_STRING)) { a1 = string_to_c_strict(a1); } if (RB_TYPE_P(a2, T_STRING)) { a2 = string_to_c_strict(a2); } rb_backref_set(backref); if (RB_TYPE_P(a1, T_COMPLEX)) { { get_dat1(a1); if (k_exact_zero_p(dat->imag)) a1 = dat->real; } } if (RB_TYPE_P(a2, T_COMPLEX)) { { get_dat1(a2); if (k_exact_zero_p(dat->imag)) a2 = dat->real; } } if (RB_TYPE_P(a1, T_COMPLEX)) { if (argc == 1 || (k_exact_zero_p(a2))) return a1; } if (argc == 1) { if (k_numeric_p(a1) && !f_real_p(a1)) return a1; /* should raise exception for consistency */ if (!k_numeric_p(a1)) return rb_convert_type(a1, T_COMPLEX, "Complex", "to_c"); } 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); } }
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)); }
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); } }