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-rw-r--r--complex.c99
-rw-r--r--internal.h3
-rw-r--r--numeric.c16
-rw-r--r--rational.c5
-rw-r--r--test/ruby/test_complex.rb4
5 files changed, 81 insertions, 46 deletions
diff --git a/complex.c b/complex.c
index ff6e3e038e..8a60a4fb4b 100644
--- a/complex.c
+++ b/complex.c
@@ -725,6 +725,19 @@ safe_mul(VALUE a, VALUE b, int az, int bz)
return f_mul(a, b);
}
+static void
+comp_mul(VALUE areal, VALUE aimag, VALUE breal, VALUE bimag, VALUE *real, VALUE *imag)
+{
+ int arzero = f_zero_p(areal);
+ int aizero = f_zero_p(aimag);
+ int brzero = f_zero_p(breal);
+ int bizero = f_zero_p(bimag);
+ *real = f_sub(safe_mul(areal, breal, arzero, brzero),
+ safe_mul(aimag, bimag, aizero, bizero));
+ *imag = f_add(safe_mul(areal, bimag, arzero, bizero),
+ safe_mul(aimag, breal, aizero, brzero));
+}
+
/*
* call-seq:
* cmp * numeric -> complex
@@ -742,19 +755,9 @@ rb_complex_mul(VALUE self, VALUE other)
{
if (RB_TYPE_P(other, T_COMPLEX)) {
VALUE real, imag;
- VALUE areal, aimag, breal, bimag;
- int arzero, aizero, brzero, bizero;
-
get_dat2(self, other);
- arzero = f_zero_p(areal = adat->real);
- aizero = f_zero_p(aimag = adat->imag);
- brzero = f_zero_p(breal = bdat->real);
- bizero = f_zero_p(bimag = bdat->imag);
- real = f_sub(safe_mul(areal, breal, arzero, brzero),
- safe_mul(aimag, bimag, aizero, bizero));
- imag = f_add(safe_mul(areal, bimag, arzero, bizero),
- safe_mul(aimag, breal, aizero, brzero));
+ comp_mul(adat->real, adat->imag, bdat->real, bdat->imag, &real, &imag);
return f_complex_new2(CLASS_OF(self), real, imag);
}
@@ -867,8 +870,8 @@ f_reciprocal(VALUE x)
* Complex('i') ** 2 #=> (-1+0i)
* Complex(-8) ** Rational(1, 3) #=> (1.0000000000000002+1.7320508075688772i)
*/
-static VALUE
-nucomp_expt(VALUE self, VALUE other)
+VALUE
+rb_complex_pow(VALUE self, VALUE other)
{
if (k_numeric_p(other) && k_exact_zero_p(other))
return f_complex_new_bang1(CLASS_OF(self), ONE);
@@ -898,38 +901,45 @@ nucomp_expt(VALUE self, VALUE other)
return f_complex_polar(CLASS_OF(self), nr, ntheta);
}
if (FIXNUM_P(other)) {
- if (f_gt_p(other, ZERO)) {
- VALUE x, z;
- long n;
-
- x = self;
- z = x;
- n = FIX2LONG(other) - 1;
-
- while (n) {
- long q, r;
-
- while (1) {
- get_dat1(x);
-
- q = n / 2;
- r = n % 2;
-
- if (r)
- break;
-
- x = nucomp_s_new_internal(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 = q;
- }
- z = f_mul(z, x);
- n--;
- }
- return z;
+ long n = FIX2LONG(other);
+ if (n == 0) {
+ return nucomp_s_new_internal(CLASS_OF(self), ONE, ZERO);
+ }
+ if (n < 0) {
+ self = f_reciprocal(self);
+ other = rb_int_uminus(other);
+ n = -n;
+ }
+ {
+ get_dat1(self);
+ VALUE xr = dat->real, xi = dat->imag, zr = xr, zi = xi;
+
+ if (f_zero_p(xi)) {
+ zr = rb_num_pow(zr, other);
+ }
+ else if (f_zero_p(xr)) {
+ zi = rb_num_pow(zi, other);
+ if (n & 2) zi = f_negate(zi);
+ if (!(n & 1)) {
+ VALUE tmp = zr;
+ zr = zi;
+ zi = tmp;
+ }
+ }
+ else {
+ while (--n) {
+ long q, r;
+
+ for (; q = n / 2, r = n % 2, r == 0; n = q) {
+ VALUE tmp = f_sub(f_mul(xr, xr), f_mul(xi, xi));
+ xi = f_mul(f_mul(TWO, xr), xi);
+ xr = tmp;
+ }
+ comp_mul(zr, zi, xr, xi, &zr, &zi);
+ }
+ }
+ return nucomp_s_new_internal(CLASS_OF(self), zr, zi);
}
- return f_expt(f_reciprocal(self), rb_int_uminus(other));
}
if (k_numeric_p(other) && f_real_p(other)) {
VALUE r, theta;
@@ -945,6 +955,7 @@ nucomp_expt(VALUE self, VALUE other)
}
return rb_num_coerce_bin(self, other, id_expt);
}
+#define nucomp_expt rb_complex_pow
/*
* call-seq:
diff --git a/internal.h b/internal.h
index b55121fbc7..f6fcd399b7 100644
--- a/internal.h
+++ b/internal.h
@@ -1174,6 +1174,7 @@ VALUE rb_complex_mul(VALUE, VALUE);
VALUE rb_complex_abs(VALUE x);
VALUE rb_complex_sqrt(VALUE x);
VALUE rb_dbl_complex_polar(double abs, double ang);
+VALUE rb_complex_pow(VALUE self, VALUE other);
/* cont.c */
VALUE rb_obj_is_fiber(VALUE);
@@ -1471,6 +1472,7 @@ VALUE rb_int_abs(VALUE num);
VALUE rb_int_odd_p(VALUE num);
int rb_int_positive_p(VALUE num);
int rb_int_negative_p(VALUE num);
+VALUE rb_num_pow(VALUE x, VALUE y);
static inline VALUE
rb_num_compare_with_zero(VALUE num, ID mid)
@@ -1735,6 +1737,7 @@ VALUE rb_rational_reciprocal(VALUE x);
VALUE rb_cstr_to_rat(const char *, int);
VALUE rb_rational_abs(VALUE self);
VALUE rb_rational_cmp(VALUE self, VALUE other);
+VALUE rb_rational_pow(VALUE self, VALUE other);
VALUE rb_numeric_quo(VALUE x, VALUE y);
/* re.c */
diff --git a/numeric.c b/numeric.c
index 292af0af27..d698fcedea 100644
--- a/numeric.c
+++ b/numeric.c
@@ -4077,6 +4077,22 @@ rb_int_pow(VALUE x, VALUE y)
return Qnil;
}
+VALUE
+rb_num_pow(VALUE x, VALUE y)
+{
+ VALUE z = rb_int_pow(x, y);
+ if (!NIL_P(z)) return z;
+ if (RB_FLOAT_TYPE_P(x)) return rb_float_pow(x, y);
+ if (SPECIAL_CONST_P(x)) return Qnil;
+ switch (BUILTIN_TYPE(x)) {
+ case T_COMPLEX:
+ return rb_complex_pow(x, y);
+ case T_RATIONAL:
+ return rb_rational_pow(x, y);
+ }
+ return Qnil;
+}
+
/*
* Document-method: Integer#==
* Document-method: Integer#===
diff --git a/rational.c b/rational.c
index d62a24ffbc..9712ce72bb 100644
--- a/rational.c
+++ b/rational.c
@@ -1001,8 +1001,8 @@ f_odd_p(VALUE integer)
* Rational(1, 2) ** 0 #=> (1/1)
* Rational(1, 2) ** 0.0 #=> 1.0
*/
-static VALUE
-nurat_expt(VALUE self, VALUE other)
+VALUE
+rb_rational_pow(VALUE self, VALUE other)
{
if (k_numeric_p(other) && k_exact_zero_p(other))
return f_rational_new_bang1(CLASS_OF(self), ONE);
@@ -1077,6 +1077,7 @@ nurat_expt(VALUE self, VALUE other)
return rb_num_coerce_bin(self, other, rb_intern("**"));
}
}
+#define nurat_expt rb_rational_pow
/*
* call-seq:
diff --git a/test/ruby/test_complex.rb b/test/ruby/test_complex.rb
index 10289226fe..1180e9acb0 100644
--- a/test/ruby/test_complex.rb
+++ b/test/ruby/test_complex.rb
@@ -407,6 +407,10 @@ class Complex_Test < Test::Unit::TestCase
r = c ** Rational(-2,3)
assert_in_delta(0.432, r.real, 0.001)
assert_in_delta(-0.393, r.imag, 0.001)
+
+ c = Complex(0.0, -888888888888888.0)**8888
+ assert_not_predicate(c.real, :nan?)
+ assert_not_predicate(c.imag, :nan?)
end
def test_cmp