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-rw-r--r--ChangeLog10
-rw-r--r--NEWS2
-rw-r--r--math/libm-test.inc24
-rw-r--r--sysdeps/i386/fpu/e_acos.S10
-rw-r--r--sysdeps/i386/fpu/e_acosl.c8
-rw-r--r--sysdeps/i386/fpu/e_asin.S10
-rw-r--r--sysdeps/i386/fpu/libm-test-ulps12
-rw-r--r--sysdeps/x86_64/fpu/libm-test-ulps12
8 files changed, 76 insertions, 12 deletions
diff --git a/ChangeLog b/ChangeLog
index f436af4083..a13a367b29 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,15 @@
2012-04-30 Joseph Myers <joseph@codesourcery.com>
+ [BZ #13942]
+ * sysdeps/i386/fpu/e_acos.S (__ieee754_acos): Calculate 1 - x^2 as
+ (1 - x) * (1 + x).
+ * sysdeps/i386/fpu/e_acosl.c (__ieee754_acosl): Likewise.
+ * sysdeps/i386/fpu/e_asin.S (__ieee754_asin): Likewise.
+ * math/libm-test.inc (acos_test): Add more tests.
+ (asin_test): Likewise.
+ * sysdeps/i386/fpu/libm-test-ulps: Update.
+ * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
+
[BZ #14034]
* sysdeps/i386/fpu/e_acos.S (__ieee754_acos): Take absolute value
of square root.
diff --git a/NEWS b/NEWS
index 4481ea43fc..c9848e68e5 100644
--- a/NEWS
+++ b/NEWS
@@ -22,7 +22,7 @@ Version 2.16
13844, 13846, 13851, 13852, 13854, 13871, 13872, 13873, 13879, 13883,
13886, 13892, 13895, 13908, 13910, 13911, 13912, 13913, 13915, 13916,
13917, 13918, 13919, 13920, 13921, 13924, 13926, 13927, 13928, 13938,
- 13941, 13963, 13967, 13970, 13973, 14027, 14033, 14034
+ 13941, 13942, 13963, 13967, 13970, 13973, 14027, 14033, 14034
* ISO C11 support:
diff --git a/math/libm-test.inc b/math/libm-test.inc
index bedff09fea..d643badfe2 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -758,6 +758,18 @@ acos_test (void)
TEST_f_f (acos, 0.75L, 0.722734247813415611178377352641333362L);
TEST_f_f (acos, 2e-17L, 1.57079632679489659923132169163975144L);
TEST_f_f (acos, 0.0625L, 1.50825556499840522843072005474337068L);
+ TEST_f_f (acos, 0x0.ffffffp0L, 3.4526698471620358760324948263873649728491e-4L);
+ TEST_f_f (acos, -0x0.ffffffp0L, 3.1412473866050770348750401337968641476999L);
+#ifndef TEST_FLOAT
+ TEST_f_f (acos, 0x0.ffffffff8p0L, 1.5258789062648029736620564947844627548516e-5L);
+ TEST_f_f (acos, -0x0.ffffffff8p0L, 3.1415773948007305904329067627145550395696L);
+ TEST_f_f (acos, 0x0.ffffffffffffp0L, 8.4293697021788088529885473244391795127130e-8L);
+ TEST_f_f (acos, -0x0.ffffffffffffp0L, 3.1415925692960962166745548533940296398054L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+ TEST_f_f (acos, 0x0.ffffffffffffffffp0L, 3.2927225399135962333718255320079907245059e-10L);
+ TEST_f_f (acos, -0x0.ffffffffffffffffp0L, 3.1415926532605209844712837599423203309964L);
+#endif
END (acos);
}
@@ -933,6 +945,18 @@ asin_test (void)
TEST_f_f (asin, 1.0, M_PI_2l);
TEST_f_f (asin, -1.0, -M_PI_2l);
TEST_f_f (asin, 0.75L, 0.848062078981481008052944338998418080L);
+ TEST_f_f (asin, 0x0.ffffffp0L, 1.5704510598101804156437184421571127056013L);
+ TEST_f_f (asin, -0x0.ffffffp0L, -1.5704510598101804156437184421571127056013L);
+#ifndef TEST_FLOAT
+ TEST_f_f (asin, 0x0.ffffffff8p0L, 1.5707810680058339712015850710748035974710L);
+ TEST_f_f (asin, -0x0.ffffffff8p0L, -1.5707810680058339712015850710748035974710L);
+ TEST_f_f (asin, 0x0.ffffffffffffp0L, 1.5707962425011995974432331617542781977068L);
+ TEST_f_f (asin, -0x0.ffffffffffffp0L, -1.5707962425011995974432331617542781977068L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+ TEST_f_f (asin, 0x0.ffffffffffffffffp0L, 1.5707963264656243652399620683025688888978L);
+ TEST_f_f (asin, -0x0.ffffffffffffffffp0L, -1.5707963264656243652399620683025688888978L);
+#endif
END (asin);
}
diff --git a/sysdeps/i386/fpu/e_acos.S b/sysdeps/i386/fpu/e_acos.S
index d10a054b9c..586c7fc406 100644
--- a/sysdeps/i386/fpu/e_acos.S
+++ b/sysdeps/i386/fpu/e_acos.S
@@ -7,13 +7,15 @@
RCSID("$NetBSD: e_acos.S,v 1.4 1995/05/08 23:44:37 jtc Exp $")
-/* acos = atan (sqrt(1 - x^2) / x) */
+/* acos = atan (sqrt((1-x) (1+x)) / x) */
ENTRY(__ieee754_acos)
fldl 4(%esp) /* x */
fld %st /* x : x */
- fmul %st(0) /* x^2 : x */
- fld1 /* 1 : x^2 : x */
- fsubp /* 1 - x^2 : x */
+ fld1 /* 1 : x : x */
+ fsubp /* 1 - x : x */
+ fld1 /* 1 : 1 - x : x */
+ fadd %st(2) /* 1 + x : 1 - x : x */
+ fmulp /* 1 - x^2 : x */
fsqrt /* sqrt (1 - x^2) : x */
fabs
fxch %st(1) /* x : sqrt (1 - x^2) */
diff --git a/sysdeps/i386/fpu/e_acosl.c b/sysdeps/i386/fpu/e_acosl.c
index d249d5a956..ab08931924 100644
--- a/sysdeps/i386/fpu/e_acosl.c
+++ b/sysdeps/i386/fpu/e_acosl.c
@@ -12,11 +12,13 @@ __ieee754_acosl (long double x)
{
long double res;
- /* acosl = atanl (sqrtl(1 - x^2) / x) */
+ /* acosl = atanl (sqrtl((1-x) (1+x)) / x) */
asm ( "fld %%st\n"
- "fmul %%st(0)\n" /* x^2 */
"fld1\n"
- "fsubp\n" /* 1 - x^2 */
+ "fsubp\n"
+ "fld1\n"
+ "fadd %%st(2)\n"
+ "fmulp\n" /* 1 - x^2 */
"fsqrt\n" /* sqrtl (1 - x^2) */
"fabs\n"
"fxch %%st(1)\n"
diff --git a/sysdeps/i386/fpu/e_asin.S b/sysdeps/i386/fpu/e_asin.S
index a17e922b6d..9a44cb62ac 100644
--- a/sysdeps/i386/fpu/e_asin.S
+++ b/sysdeps/i386/fpu/e_asin.S
@@ -7,13 +7,15 @@
RCSID("$NetBSD: e_asin.S,v 1.4 1995/05/08 23:45:40 jtc Exp $")
-/* asin = atan (x / sqrt(1 - x^2)) */
+/* asin = atan (x / sqrt((1-x) (1+x))) */
ENTRY(__ieee754_asin)
fldl 4(%esp) /* x */
fld %st
- fmul %st(0) /* x^2 */
- fld1
- fsubp /* 1 - x^2 */
+ fld1 /* 1 : x : x */
+ fsubp /* 1 - x : x */
+ fld1 /* 1 : 1 - x : x */
+ fadd %st(2) /* 1 + x : 1 - x : x */
+ fmulp /* 1 - x^2 */
fsqrt /* sqrt (1 - x^2) */
fpatan
ret
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index fdaff3525d..a49a69d4e9 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -80,6 +80,12 @@ ldouble: 1
Test "asin (-0.5) == -pi/6":
ildouble: 1
ldouble: 1
+Test "asin (-0x0.ffffffff8p0) == -1.5707810680058339712015850710748035974710":
+ildouble: 1
+ldouble: 1
+Test "asin (-0x0.ffffffp0) == -1.5704510598101804156437184421571127056013":
+ildouble: 1
+ldouble: 1
Test "asin (-1.0) == -pi/2":
ildouble: 1
ldouble: 1
@@ -89,6 +95,12 @@ ldouble: 1
Test "asin (0.75) == 0.848062078981481008052944338998418080":
ildouble: 1
ldouble: 1
+Test "asin (0x0.ffffffff8p0) == 1.5707810680058339712015850710748035974710":
+ildouble: 1
+ldouble: 1
+Test "asin (0x0.ffffffp0) == 1.5704510598101804156437184421571127056013":
+ildouble: 1
+ldouble: 1
Test "asin (1.0) == pi/2":
ildouble: 1
ldouble: 1
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 5068fe6952..9a1e80ed8d 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -55,6 +55,12 @@ ldouble: 1
Test "asin (-0.5) == -pi/6":
ildouble: 1
ldouble: 1
+Test "asin (-0x0.ffffffffffffffffp0) == -1.5707963264656243652399620683025688888978":
+ildouble: 1
+ldouble: 1
+Test "asin (-0x0.ffffffffffffp0) == -1.5707962425011995974432331617542781977068":
+ildouble: 1
+ldouble: 1
Test "asin (-1.0) == -pi/2":
ildouble: 1
ldouble: 1
@@ -64,6 +70,12 @@ ldouble: 1
Test "asin (0.75) == 0.848062078981481008052944338998418080":
ildouble: 1
ldouble: 1
+Test "asin (0x0.ffffffffffffffffp0) == 1.5707963264656243652399620683025688888978":
+ildouble: 1
+ldouble: 1
+Test "asin (0x0.ffffffffffffp0) == 1.5707962425011995974432331617542781977068":
+ildouble: 1
+ldouble: 1
Test "asin (1.0) == pi/2":
ildouble: 1
ldouble: 1
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-17 10:27:52 +0000