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author | Ruiling Song <ruiling.song@intel.com> | 2014-06-24 14:23:31 +0800 |
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committer | Zhigang Gong <zhigang.gong@intel.com> | 2014-06-24 23:32:32 +0800 |
commit | 500843d36ab6631d71570130c0c08048f9b8f3fe (patch) | |
tree | 1ecc4bdac22c05f2457def4719db6d59928a45de | |
parent | cca4b253d88cbdbe9737c9c6071bde81f7b85e9e (diff) | |
download | beignet-500843d36ab6631d71570130c0c08048f9b8f3fe.tar.gz |
GBE: Further optimize exp().
Use native_exp() as much as possible.
Signed-off-by: Ruiling Song <ruiling.song@intel.com>
Reviewed-by: Zhigang Gong <zhigang.gong@linux.intel.com>
-rwxr-xr-x | backend/src/ocl_stdlib.tmpl.h | 40 |
1 files changed, 11 insertions, 29 deletions
diff --git a/backend/src/ocl_stdlib.tmpl.h b/backend/src/ocl_stdlib.tmpl.h index ec945e4a..412966ef 100755 --- a/backend/src/ocl_stdlib.tmpl.h +++ b/backend/src/ocl_stdlib.tmpl.h @@ -2267,7 +2267,7 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_tanpi(float x) { return native_tan(x * M_PI_F); } INLINE_OVERLOADABLE float native_exp2(float x) { return __gen_ocl_exp(x); } -INLINE_OVERLOADABLE float native_exp(float x) { return __gen_ocl_pow(M_E_F, x); } +INLINE_OVERLOADABLE float native_exp(float x) { return __gen_ocl_exp(M_LOG2E_F*x); } INLINE_OVERLOADABLE float native_exp10(float x) { return __gen_ocl_pow(10, x); } INLINE_OVERLOADABLE float __gen_ocl_internal_cbrt(float x) { /* copied from fdlibm */ @@ -2640,7 +2640,7 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_rint(float x) { INLINE_OVERLOADABLE float __gen_ocl_internal_exp(float x) { //use native instruction when it has enough precision - if (x > 128 || x < -128) + if (x > -0x1.6p1 && x < 0x1.6p1) { return native_exp(x); } @@ -2648,15 +2648,8 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_exp(float x) { float o_threshold = 8.8721679688e+01, /* 0x42b17180 */ u_threshold = -1.0397208405e+02, /* 0xc2cff1b5 */ twom100 = 7.8886090522e-31, /* 2**-100=0x0d800000 */ - ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */ - one = 1.0, - huge = 1.0e+30, - P1 = 1.6666667163e-01, /* 0x3e2aaaab */ - P2 = -2.7777778450e-03, /* 0xbb360b61 */ - P3 = 6.6137559770e-05, /* 0x388ab355 */ - P4 = -1.6533901999e-06, /* 0xb5ddea0e */ - P5 = 4.1381369442e-08; /* 0x3331bb4c */ - float y,hi=0.0,lo=0.0,c,t; + ivln2 = 1.4426950216e+00; /* 0x3fb8aa3b =1/ln2 */ + float y,hi=0.0,lo=0.0,t; int k=0,xsb; unsigned hx; float ln2HI_0 = 6.9313812256e-01; /* 0x3f317180 */ @@ -2672,17 +2665,16 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_exp(float x) { /* filter out non-finite argument */ if(hx >= 0x42b17218) { /* if |x|>=88.721... */ - if(hx>0x7f800000) - return x+x; /* NaN */ - if(hx==0x7f800000) - return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */ - if(x > o_threshold) return huge*huge; /* overflow */ - if(x < u_threshold) return twom100*twom100; /* underflow */ + // native_exp already handled this + return native_exp(x); } + /* argument reduction */ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */ - hi = x-(xsb ==1 ? ln2HI_1 : ln2HI_0); lo= xsb == 1? ln2LO_1 : ln2LO_0; k = 1-xsb-xsb; + hi = x-(xsb ==1 ? ln2HI_1 : ln2HI_0); + lo= xsb == 1? ln2LO_1 : ln2LO_0; + k = 1-xsb-xsb; } else { float tmp = xsb == 1 ? half_1 : half_0; k = ivln2*x+tmp; @@ -2692,18 +2684,8 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_exp(float x) { } x = hi - lo; } - else if(hx < 0x31800000) { /* when |x|<2**-28 */ - if(huge+x>one) return one+x;/* trigger inexact */ - } - else k = 0; - /* x is now in primary range */ - t = x*x; - c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); - if(k==0) - return one-((x*c)/(c-(float)2.0)-x); - else - y = one-((lo-(x*c)/((float)2.0-c))-hi); + y = native_exp(x); if(k >= -125) { unsigned hy; GEN_OCL_GET_FLOAT_WORD(hy,y); |