From 7b1902cb3e64d340247638a8781770c3a4d850ce Mon Sep 17 00:00:00 2001 From: Joseph Myers Date: Thu, 1 Mar 2012 21:15:38 +0000 Subject: Improve erfc accuracy. --- sysdeps/i386/fpu/libm-test-ulps | 11 +++++++++++ sysdeps/ieee754/flt-32/s_erff.c | 2 +- sysdeps/ieee754/ldbl-128ibm/s_erfl.c | 3 ++- sysdeps/powerpc/fpu/libm-test-ulps | 9 +++++++++ sysdeps/x86_64/fpu/libm-test-ulps | 12 ++++++++++++ 5 files changed, 35 insertions(+), 2 deletions(-) (limited to 'sysdeps') diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps index 18097a51c6..56293973dd 100644 --- a/sysdeps/i386/fpu/libm-test-ulps +++ b/sysdeps/i386/fpu/libm-test-ulps @@ -422,6 +422,17 @@ idouble: 1 Test "erfc (0.75) == 0.288844366346484868401062165408589223": float: 1 ifloat: 1 +Test "erfc (0x1.f7303cp+1) == 2.705500297238986897105236321218861842255e-8": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "erfc (0x1.ffa002p+2) == 1.233585992097580296336099501489175967033e-29": +ildouble: 1 +ldouble: 1 +Test "erfc (0x1.ffffc8p+2) == 1.122671365033056305522366683719541099329e-29": +double: 1 +idouble: 1 Test "erfc (1.25) == 0.0770998717435417698634765188027188596": ildouble: 1 ldouble: 1 diff --git a/sysdeps/ieee754/flt-32/s_erff.c b/sysdeps/ieee754/flt-32/s_erff.c index 576618309b..8a0610d5c5 100644 --- a/sysdeps/ieee754/flt-32/s_erff.c +++ b/sysdeps/ieee754/flt-32/s_erff.c @@ -200,7 +200,7 @@ float __erfcf(float x) sb5+s*(sb6+s*sb7)))))); } GET_FLOAT_WORD(ix,x); - SET_FLOAT_WORD(z,ix&0xfffff000); + SET_FLOAT_WORD(z,ix&0xffffe000); r = __ieee754_expf(-z*z-(float)0.5625)* __ieee754_expf((z-x)*(z+x)+R/S); if(hx>0) return r/x; else return two-r/x; diff --git a/sysdeps/ieee754/ldbl-128ibm/s_erfl.c b/sysdeps/ieee754/ldbl-128ibm/s_erfl.c index 85cdbe0ff8..8868f7e1cf 100644 --- a/sysdeps/ieee754/ldbl-128ibm/s_erfl.c +++ b/sysdeps/ieee754/ldbl-128ibm/s_erfl.c @@ -920,7 +920,8 @@ __erfcl (long double x) } u.value = x; u.parts32.w3 = 0; - u.parts32.w2 &= 0xffffe000; + u.parts32.w2 = 0; + u.parts32.w1 &= 0xf8000000; z = u.value; r = __ieee754_expl (-z * z - 0.5625) * __ieee754_expl ((z - x) * (z + x) + p); diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps index 589bae1227..00e994ce7a 100644 --- a/sysdeps/powerpc/fpu/libm-test-ulps +++ b/sysdeps/powerpc/fpu/libm-test-ulps @@ -422,6 +422,15 @@ idouble: 1 Test "erfc (0.75) == 0.288844366346484868401062165408589223": float: 1 ifloat: 1 +Test "erfc (0x1.f7303cp+1) == 2.705500297238986897105236321218861842255e-8": +double: 1 +idouble: 1 +Test "erfc (0x1.ffa002p+2) == 1.233585992097580296336099501489175967033e-29": +float: 1 +ifloat: 1 +Test "erfc (0x1.ffff56789abcdef0123456789a8p+2) == 1.123161416304655390092138725253789378459e-29": +ildouble: 1 +ldouble: 1 Test "erfc (2.0) == 0.00467773498104726583793074363274707139": double: 1 idouble: 1 diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index eb67e91b97..dac90babad 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -467,6 +467,16 @@ double: 1 idouble: 1 # erfc +Test "erfc (0x1.f7303cp+1) == 2.705500297238986897105236321218861842255e-8": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "erfc (0x1.ffa002p+2) == 1.233585992097580296336099501489175967033e-29": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Test "erfc (1.25) == 0.0770998717435417698634765188027188596": ildouble: 1 ldouble: 1 @@ -1251,7 +1261,9 @@ idouble: 1 Function: "erfc": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 -- cgit 1.4.1