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-rw-r--r--ChangeLog7
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_acosl.c37
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_asinl.c31
-rw-r--r--sysdeps/powerpc/fpu/libm-test-ulps151
4 files changed, 186 insertions, 40 deletions
diff --git a/ChangeLog b/ChangeLog
index c659fb1e42..5fb65d568e 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,10 @@
+2012-05-02 Adhemerval Zanella <azanella@linux.vnet.ibm.com>
+
+ * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Fix
+ long double comparison inaccuracies.
+ * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Likewise.
+ * sysdeps/powerpc/fpu/libm-test-ulps: Update.
+
2012-05-04 Andreas Schwab <schwab@linux-m68k.org>
* sysdeps/unix/make-syscalls.sh: Fix check for version aliases.
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
index 533b59786d..5d2af30346 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
@@ -152,30 +152,25 @@ long double
__ieee754_acosl (long double x)
{
long double z, r, w, p, q, s, t, f2;
- int32_t ix, sign;
ieee854_long_double_shape_type u;
- u.value = x;
- sign = u.parts32.w0;
- ix = sign & 0x7fffffff;
- u.parts32.w0 = ix; /* |x| */
- if (ix >= 0x3ff00000) /* |x| >= 1 */
+ u.value = __builtin_fabsl (x);
+ if (u.value == 1.0L)
+ {
+ if (x > 0.0L)
+ return 0.0; /* acos(1) = 0 */
+ else
+ return (2.0 * pio2_hi) + (2.0 * pio2_lo); /* acos(-1)= pi */
+ }
+ else if (u.value > 1.0L)
{
- if (ix == 0x3ff00000
- && (u.parts32.w1 | (u.parts32.w2&0x7fffffff) | u.parts32.w3) == 0)
- { /* |x| == 1 */
- if ((sign & 0x80000000) == 0)
- return 0.0; /* acos(1) = 0 */
- else
- return (2.0 * pio2_hi) + (2.0 * pio2_lo); /* acos(-1)= pi */
- }
return (x - x) / (x - x); /* acos(|x| > 1) is NaN */
}
- else if (ix < 0x3fe00000) /* |x| < 0.5 */
+ if (u.value < 0.5L)
{
- if (ix < 0x3c600000) /* |x| < 2**-57 */
+ if (u.value < 6.938893903907228e-18L) /* |x| < 2**-57 */
return pio2_hi + pio2_lo;
- if (ix < 0x3fde0000) /* |x| < .4375 */
+ if (u.value < 0.4375L)
{
/* Arcsine of x. */
z = x * x;
@@ -229,13 +224,13 @@ __ieee754_acosl (long double x)
+ Q1) * t
+ Q0;
r = p / q;
- if (sign & 0x80000000)
+ if (x < 0.0L)
r = pimacosr4375 - r;
else
r = acosr4375 + r;
return r;
}
- else if (ix < 0x3fe40000) /* |x| < 0.625 */
+ else if (u.value < 0.625L)
{
t = u.value - 0.5625L;
p = ((((((((((rS10 * t
@@ -261,7 +256,7 @@ __ieee754_acosl (long double x)
+ sS2) * t
+ sS1) * t
+ sS0;
- if (sign & 0x80000000)
+ if (x < 0.0L)
r = pimacosr5625 - p / q;
else
r = acosr5625 + p / q;
@@ -309,7 +304,7 @@ __ieee754_acosl (long double x)
+ qS0;
r = s + (w + s * p / q);
- if (sign & 0x80000000)
+ if (x < 0.0L)
w = pio2_hi + (pio2_lo - r);
else
w = r;
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_asinl.c b/sysdeps/ieee754/ldbl-128ibm/e_asinl.c
index fb6f5720d0..b395439495 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_asinl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_asinl.c
@@ -132,25 +132,18 @@ long double
__ieee754_asinl (long double x)
{
long double t, w, p, q, c, r, s;
- int32_t ix, sign, flag;
+ int flag;
ieee854_long_double_shape_type u;
flag = 0;
- u.value = x;
- sign = u.parts32.w0;
- ix = sign & 0x7fffffff;
- u.parts32.w0 = ix; /* |x| */
- if (ix >= 0x3ff00000) /* |x|>= 1 */
+ u.value = __builtin_fabsl (x);
+ if (u.value == 1.0L) /* |x|>= 1 */
+ return x * pio2_hi + x * pio2_lo; /* asin(1)=+-pi/2 with inexact */
+ else if (u.value >= 1.0L)
+ return (x - x) / (x - x); /* asin(|x|>1) is NaN */
+ else if (u.value < 0.5L)
{
- if (ix == 0x3ff00000
- && (u.parts32.w1 | (u.parts32.w2 & 0x7fffffff) | u.parts32.w3) == 0)
- /* asin(1)=+-pi/2 with inexact */
- return x * pio2_hi + x * pio2_lo;
- return (x - x) / (x - x); /* asin(|x|>1) is NaN */
- }
- else if (ix < 0x3fe00000) /* |x| < 0.5 */
- {
- if (ix < 0x3c600000) /* |x| < 2**-57 */
+ if (u.value < 6.938893903907228e-18L) /* |x| < 2**-57 */
{
if (huge + x > one)
return x; /* return x with inexact if x!=0 */
@@ -162,7 +155,7 @@ __ieee754_asinl (long double x)
flag = 1;
}
}
- else if (ix < 0x3fe40000) /* 0.625 */
+ else if (u.value < 0.625L)
{
t = u.value - 0.5625;
p = ((((((((((rS10 * t
@@ -189,7 +182,7 @@ __ieee754_asinl (long double x)
+ sS1) * t
+ sS0;
t = asinr5625 + p / q;
- if ((sign & 0x80000000) == 0)
+ if (x > 0.0L)
return t;
else
return -t;
@@ -230,7 +223,7 @@ __ieee754_asinl (long double x)
}
s = __ieee754_sqrtl (t);
- if (ix >= 0x3fef3333) /* |x| > 0.975 */
+ if (u.value > 0.975L)
{
w = p / q;
t = pio2_hi - (2.0 * (s + s * w) - pio2_lo);
@@ -248,7 +241,7 @@ __ieee754_asinl (long double x)
t = pio4_hi - (p - q);
}
- if ((sign & 0x80000000) == 0)
+ if (x > 0.0L)
return t;
else
return -t;
diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
index 43fa64289d..5abff41b05 100644
--- a/sysdeps/powerpc/fpu/libm-test-ulps
+++ b/sysdeps/powerpc/fpu/libm-test-ulps
@@ -4,12 +4,113 @@
Test "acos (2e-17) == 1.57079632679489659923132169163975144":
ildouble: 1
ldouble: 1
+Test "acos (-0x0.ffffffff8p0) == 3.1415773948007305904329067627145550395696":
+ldouble: 1
+ildouble: 1
+Test "acos (-0x0.ffffffp0) == 3.1412473866050770348750401337968641476999":
+ldouble: 1
+ildouble: 1
+
+# acos_downward
+Test "acos_downward (-0.5) == M_PI_6l*4.0":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "acos_downward (0.5) == M_PI_6l*2.0":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+# acos_towardzero
+Test "acos_towardzero (-0.5) == M_PI_6l*4.0":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "acos_towardzero (0.5) == M_PI_6l*2.0":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+# acos_upward
+Test "acos_upward (-0) == pi/2":
+ldouble: 2
+ildouble: 2
+Test "acos_upward (-1) == pi":
+ldouble: 2
+ildouble: 2
+Test "acos_upward (0) == pi/2":
+ldouble: 2
+ildouble: 2
# asin
+Test "asin (-0x0.ffffffff8p0) == -1.5707810680058339712015850710748035974710":
+ldouble: 1
+ildouble: 1
+Test "asin (-0x0.ffffffp0) == -1.5704510598101804156437184421571127056013":
+ldouble: 1
+ildouble: 1
+Test "asin (0x0.ffffffff8p0) == 1.5707810680058339712015850710748035974710":
+ldouble: 1
+ildouble: 1
+Test "asin (0x0.ffffffp0) == 1.5704510598101804156437184421571127056013":
+ldouble: 1
+ildouble: 1
Test "asin (0.75) == 0.848062078981481008052944338998418080":
ildouble: 2
ldouble: 2
+# asin_downward
+Test "asin_downward (-0.5) == -pi/6":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "asin_downward (0.5) == pi/6":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "asin_downward (-1.0) == -pi/2":
+ldouble: 1
+ildouble: 1
+Test "asin_downward (1.0) == pi/2":
+float: 1
+ifloat: 1
+
+# asin_towardzero
+Test "asin_towardzero (-0.5) == -pi/6":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "asin_towardzero (0.5) == pi/6":
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+Test "asin_towardzero (-1.0) == -pi/2":
+float: 1
+ifloat:1
+Test "asin_towardzero (1.0) == pi/2":
+float: 1
+ifloat: 1
+
+# asin_upward
+Test "asin_upward (-1.0) == -pi/2":
+float: 1
+ifloat: 1
+Test "asin_upward (1.0) == pi/2":
+ldouble: 1
+ildouble: 1
+
# atan2
Test "atan2 (-0.00756827042671106339, -.001792735857538728036) == -1.80338464113663849327153994379639112":
ildouble: 1
@@ -2061,6 +2162,30 @@ Function: "acos":
ildouble: 1
ldouble: 1
+Function: "acos_downward":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+Function: "acos_tonearest":
+ldouble: 1
+ildouble: 1
+
+Function: "acos_towardzero":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+Function: "acos_upward":
+ldouble: 2
+ildouble: 2
+
Function: "acosh":
ildouble: 1
ldouble: 1
@@ -2069,6 +2194,32 @@ Function: "asin":
ildouble: 2
ldouble: 2
+Function: "asin_downward":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+Function: "asin_tonearest":
+ldouble: 1
+ildouble: 1
+
+Function: "asin_towardzero":
+float: 1
+ifloat: 1
+double: 1
+idouble: 1
+ldouble: 1
+ildouble: 1
+
+Function: "asin_upward":
+float: 1
+ifloat: 1
+ldouble: 1
+ildouble: 1
+
Function: "asinh":
ildouble: 1
ldouble: 1
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-10 07:57:52 +0000