diff options
author | rander <rander.wang@intel.com> | 2017-03-31 10:18:56 +0800 |
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committer | Yang Rong <rong.r.yang@intel.com> | 2017-04-17 16:08:49 +0800 |
commit | 777c55aaaec7a9a52ce5581c1b46180236738776 (patch) | |
tree | 5b4f2db159e83230b83eb304912e375851914773 /backend | |
parent | aefbc2abd827ff5c4902133ac8805b46b3a6e403 (diff) | |
download | beignet-777c55aaaec7a9a52ce5581c1b46180236738776.tar.gz |
backend: add double version of erf
cp from fdlibm and refine it
Signed-off-by: rander <rander.wang@intel.com>
Tested-by: Yang Rong <rong.r.yang@intel.com>
Diffstat (limited to 'backend')
-rw-r--r-- | backend/src/libocl/tmpl/ocl_math_common.tmpl.cl | 114 | ||||
-rw-r--r-- | backend/src/libocl/tmpl/ocl_math_common.tmpl.h | 1 |
2 files changed, 115 insertions, 0 deletions
diff --git a/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl b/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl index 90df3a98..624f5036 100644 --- a/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl +++ b/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl @@ -604,6 +604,120 @@ OVERLOADABLE double expm1(double x) return y; } +OVERLOADABLE double erf(double x) +{ + double erx = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */ + efx = 1.28379167095512586316e-01, /* 0x3FC06EBA, 0x8214DB69 */ + efx8= 1.02703333676410069053e+00, /* 0x3FF06EBA, 0x8214DB69 */ + pp0 = 1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */ + pp1 = -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */ + pp2 = -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */ + pp3 = -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */ + pp4 = -2.37630166566501626084e-05, /* 0xBEF8EAD6, 0x120016AC */ + qq1 = 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */ + qq2 = 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */ + qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */ + qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */ + qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */ + pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */ + pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */ + pa2 = -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */ + pa3 = 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */ + pa4 = -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */ + pa5 = 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */ + pa6 = -2.16637559486879084300e-03, /* 0xBF61BF38, 0x0A96073F */ + qa1 = 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */ + qa2 = 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */ + qa3 = 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */ + qa4 = 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */ + qa5 = 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */ + qa6 = 1.19844998467991074170e-02, /* 0x3F888B54, 0x5735151D */ + ra0 = -9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */ + ra1 = -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */ + ra2 = -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */ + ra3 = -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */ + ra4 = -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */ + ra5 = -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */ + ra6 = -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */ + ra7 = -9.81432934416914548592e+00, /* 0xC023A0EF, 0xC69AC25C */ + sa1 = 1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */ + sa2 = 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */ + sa3 = 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */ + sa4 = 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */ + sa5 = 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */ + sa6 = 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */ + sa7 = 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */ + sa8 = -6.04244152148580987438e-02, /* 0xBFAEEFF2, 0xEE749A62 */ + rb0 = -9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */ + rb1 = -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */ + rb2 = -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */ + rb3 = -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */ + rb4 = -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */ + rb5 = -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */ + rb6 = -4.83519191608651397019e+02, /* 0xC07E384E, 0x9BDC383F */ + sb1 = 3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */ + sb2 = 3.25792512996573918826e+02; /* 0x40745CAE, 0x221B9F0A */ + double sb3 = 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */ + sb4 = 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */ + sb5 = 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */ + sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */ + sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ + + double tiny = 1e-300; + double halfD = 5.00000000000000000000e-01;/* 0x3FE00000, 0x00000000 */ + double one = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */ + double two = 2.00000000000000000000e+00; /* 0x40000000, 0x00000000 */ + + int hx,ix,i; + double R,S,P,Q,s,y,z,r; + hx = __HI(x); + ix = hx&0x7fffffff; + if(ix>=0x7ff00000) { /* erf(nan)=nan */ + i = ((unsigned)hx>>31)<<1; + return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */ + } + + if(ix < 0x3feb0000) { /* |x|<0.84375 */ + if(ix < 0x3e300000) { /* |x|<2**-28 */ + if (ix < 0x00800000) + return 0.125*(8.0*x+efx8*x); /*avoid underflow */ + return x + efx*x; + } + z = x*x; + r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); + s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); + y = r/s; + return x + x*y; + } + if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */ + s = fabs(x)-one; + P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); + Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); + if(hx>=0) return erx + P/Q; else return -erx - P/Q; + } + if (ix >= 0x40180000) { /* inf>|x|>=6 */ + if(hx>=0) return one-tiny; else return tiny-one; + } + x = fabs(x); + s = one/(x*x); + if(ix< 0x4006DB6E) { /* |x| < 1/0.35 */ + R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( + ra5+s*(ra6+s*ra7)))))); + S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( + sa5+s*(sa6+s*(sa7+s*sa8))))))); + } else { /* |x| >= 1/0.35 */ + R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( + rb5+s*rb6))))); + S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( + sb5+s*(sb6+s*sb7)))))); + } + z = x; + __setLow(&z, 0); + r = exp(-z*z-0.5625)*exp((z-x)*(z+x)+R/S); + if(hx>=0) return one-r/x; else return r/x-one; + +} + OVERLOADABLE double cbrt(double x) { double B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */ diff --git a/backend/src/libocl/tmpl/ocl_math_common.tmpl.h b/backend/src/libocl/tmpl/ocl_math_common.tmpl.h index c815261f..325ca1be 100644 --- a/backend/src/libocl/tmpl/ocl_math_common.tmpl.h +++ b/backend/src/libocl/tmpl/ocl_math_common.tmpl.h @@ -33,6 +33,7 @@ OVERLOADABLE double atan2pi(double x, double y); OVERLOADABLE double atanh(double x); OVERLOADABLE double exp(double x); OVERLOADABLE double expm1(double x); +OVERLOADABLE double erf(double x); OVERLOADABLE double cbrt(double x); OVERLOADABLE double ceil(double x); OVERLOADABLE double copysign(double x, double y); |