aboutsummaryrefslogtreecommitdiff
path: root/sysdeps/i386/fpu/e_pow.S
diff options
context:
space:
mode:
Diffstat (limited to 'sysdeps/i386/fpu/e_pow.S')
-rw-r--r--sysdeps/i386/fpu/e_pow.S50
1 files changed, 32 insertions, 18 deletions
diff --git a/sysdeps/i386/fpu/e_pow.S b/sysdeps/i386/fpu/e_pow.S
index 8b641bb401..efe3256029 100644
--- a/sysdeps/i386/fpu/e_pow.S
+++ b/sysdeps/i386/fpu/e_pow.S
@@ -144,12 +144,22 @@ ENTRY(__ieee754_pow)
4: fldl MO(one) // 1 : x
fxch
+ /* If y is even, take the absolute value of x. Otherwise,
+ ensure all intermediate values that might overflow have the
+ sign of x. */
+ testb $1, %al
+ jnz 6f
+ fabs
+
6: shrdl $1, %edx, %eax
jnc 5f
fxch
+ fabs
fmul %st(1) // x : ST*x
fxch
-5: fmul %st(0), %st // x*x : ST*x
+5: fld %st // x : x : ST*x
+ fabs // |x| : x : ST*x
+ fmulp // |x|*x : ST*x
shrl $1, %edx
movl %eax, %ecx
orl %edx, %ecx
@@ -207,27 +217,28 @@ ENTRY(__ieee754_pow)
fxch // fract(y*log2(x)) : int(y*log2(x))
f2xm1 // 2^fract(y*log2(x))-1 : int(y*log2(x))
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
- fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
- fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
+
+ // Before scaling, we must negate if x is negative and y is an
+ // odd integer.
testb $2, %dh
- jz 292f
+ jz 291f
// x is negative. If y is an odd integer, negate the result.
- fldl 20(%esp) // y : abs(result)
- fld %st // y : y : abs(result)
- fabs // |y| : y : abs(result)
- fcompl MO(p63) // y : abs(result)
+ fldl 20(%esp) // y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fld %st // y : y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fabs // |y| : y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fcompl MO(p63) // y : 2^fract(y*log2(x)) : int(y*log2(x))
fnstsw
sahf
- jnc 291f
+ jnc 290f
// We must find out whether y is an odd integer.
- fld %st // y : y : abs(result)
- fistpll (%esp) // y : abs(result)
- fildll (%esp) // int(y) : y : abs(result)
- fucompp // abs(result)
+ fld %st // y : y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fistpll (%esp) // y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fildll (%esp) // int(y) : y : 2^fract(y*log2(x)) : int(y*log2(x))
+ fucompp // 2^fract(y*log2(x)) : int(y*log2(x))
fnstsw
sahf
- jne 292f
+ jne 291f
// OK, the value is an integer, but is it odd?
popl %eax
@@ -235,14 +246,17 @@ ENTRY(__ieee754_pow)
popl %edx
cfi_adjust_cfa_offset (-4)
andb $1, %al
- jz 290f // jump if not odd
+ jz 292f // jump if not odd
// It's an odd integer.
fchs
-290: ret
+ jmp 292f
+
cfi_adjust_cfa_offset (8)
-291: fstp %st(0) // abs(result)
-292: addl $8, %esp
+290: fstp %st(0) // 2^fract(y*log2(x)) : int(y*log2(x))
+291: addl $8, %esp
cfi_adjust_cfa_offset (-8)
+292: fscale // +/- 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
+ fstp %st(1) // +/- 2^fract(y*log2(x))*2^int(y*log2(x))
ret