summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorrander <rander.wang@intel.com>2017-03-31 10:39:35 +0800
committerYang Rong <rong.r.yang@intel.com>2017-04-17 16:08:49 +0800
commit536762bedece80a4d7881e8be67a486b8d680fbc (patch)
tree648a1fad59a7484d95b210de1dc764804cfaa5a1
parent4d7fe190274962e1a6e17a23a8c010bba55ff08d (diff)
backend: add double version of lgamma
cp from fdlibm and pass the cft after refined Signed-off-by: rander <rander.wang@intel.com> Tested-by: Yang Rong <rong.r.yang@intel.com>
-rw-r--r--backend/src/libocl/tmpl/ocl_math_common.tmpl.cl162
-rw-r--r--backend/src/libocl/tmpl/ocl_math_common.tmpl.h1
2 files changed, 163 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 96aae039..52253fbb 100644
--- a/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl
+++ b/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl
@@ -1742,6 +1742,168 @@ OVERLOADABLE int ilogb(double x)
else return 0x80000000;
}
+OVERLOADABLE double lgamma(double x)
+{
+ double two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ halfD= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+ a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
+ a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
+ a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */
+ a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */
+ a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */
+ a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */
+ a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */
+ a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */
+ a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */
+ a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */
+ a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */
+ a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */
+ tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */
+ tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */
+ /* tt = -(tail of tf) */
+ tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */
+ t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */
+ t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */
+ t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */
+ t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */
+ t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */
+ t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */
+ t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */
+ t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */
+ t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */
+ t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */
+ t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */
+ t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */
+ t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */
+ t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */
+ t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */
+ u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+ u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */
+ u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */
+ u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */
+ u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */
+ u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */
+ v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */
+ v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */
+ v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */
+ v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */
+ v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */
+ s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+ s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */
+ s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */
+ s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */
+ s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */
+ s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */
+ s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */
+ r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */
+ r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */
+ r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */
+ r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */
+ r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */
+ r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */
+ w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */
+ w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */
+ w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */
+ w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */
+ w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
+ w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
+ w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
+
+ double zero= 0.00000000000000000000e+00;
+
+ double t,y,z,nadj,p,p1,p2,p3,q,r,w;
+ int i,hx,lx,ix;
+
+ hx = __HI(x);
+ lx = __LO(x);
+
+ /* purge off +-inf, NaN, +-0, and negative arguments */
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x*x;
+ if((ix|lx)==0) return one/zero;
+ if(ix<0x3b900000) { /* |x|<2**-70, return -log(|x|) */
+ if(hx<0) {
+ return -log(-x);
+ } else return -log(x);
+ }
+ if(hx<0) {
+ if(ix>=0x43300000) /* |x|>=2**52, must be -integer */
+ return one/zero;
+ t = sinpi(x);
+ if(t==zero) return one/zero; /* -integer */
+ nadj = log(pi/fabs(t*x));
+ x = -x;
+ }
+
+ /* purge off 1 and 2 */
+ if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -log(x);
+ if(ix>=0x3FE76944) {y = one-x; i= 0;}
+ else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += (p-0.5*y); break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += (tf + p); break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += (-0.5*y + p1/p2);
+ }
+ }
+ else if(ix<0x40200000) { /* x < 8.0 */
+ i = (int)x;
+ t = zero;
+ y = x-(double)i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = halfD*y+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6.0); /* FALLTHRU */
+ case 6: z *= (y+5.0); /* FALLTHRU */
+ case 5: z *= (y+4.0); /* FALLTHRU */
+ case 4: z *= (y+3.0); /* FALLTHRU */
+ case 3: z *= (y+2.0); /* FALLTHRU */
+ r += log(z); break;
+ }
+ /* 8.0 <= x < 2**58 */
+ } else if (ix < 0x43900000) {
+ t = log(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-halfD)*(t-one)+w;
+ } else
+ /* 2**58 <= x <= inf */
+ r = x*(log(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+
+}
+
CONST OVERLOADABLE double __gen_ocl_mad(double a, double b, double c) __asm("llvm.fma" ".f64");
OVERLOADABLE double mad(double a, double b, double c)
{
diff --git a/backend/src/libocl/tmpl/ocl_math_common.tmpl.h b/backend/src/libocl/tmpl/ocl_math_common.tmpl.h
index 2cea5130..de459465 100644
--- a/backend/src/libocl/tmpl/ocl_math_common.tmpl.h
+++ b/backend/src/libocl/tmpl/ocl_math_common.tmpl.h
@@ -53,6 +53,7 @@ OVERLOADABLE double log10(double x);
OVERLOADABLE double log1p(double x);
OVERLOADABLE double logb(double x);
OVERLOADABLE int ilogb(double x);
+OVERLOADABLE double lgamma(double x);
OVERLOADABLE double mad(double a, double b, double c);
OVERLOADABLE double nan(ulong code);
OVERLOADABLE double nextafter(double x, double y);