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Diffstat (limited to 'backend/src/libocl/tmpl/ocl_math_common.tmpl.cl')
-rw-r--r--backend/src/libocl/tmpl/ocl_math_common.tmpl.cl294
1 files changed, 148 insertions, 146 deletions
diff --git a/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl b/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl
index b4764ee3..c0ab2514 100644
--- a/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl
+++ b/backend/src/libocl/tmpl/ocl_math_common.tmpl.cl
@@ -2382,7 +2382,8 @@ OVERLOADABLE float __gen_ocl_internal_pow(float x, float y) {
float z,ax,z_h,z_l,p_h,p_l;
float y1,t1,t2,r,s,sn,t,u,v,w;
int i,j,k,yisint,n;
- int hx,hy,ix,iy,is;
+ int hy,ix,iy,is;
+ unsigned int hx;
float bp,dp_h,dp_l,
zero = 0.0,
one = 1.0,
@@ -2412,17 +2413,17 @@ OVERLOADABLE float __gen_ocl_internal_pow(float x, float y) {
float retVal = 0.0f;
bool bRet = false;
- GEN_OCL_GET_FLOAT_WORD(hx,x);
+ hx = as_uint(x);
GEN_OCL_GET_FLOAT_WORD(hy,y);
ax = __gen_ocl_fabs(x);
ix = as_int(ax); iy = as_int(fabs(y));
- if(iy < 0x00800000 || hx==0x3f800000)
+ if(iy < 0x00800000)
{
bRet = true;
retVal = one;
}
- else if (ix > 0x7f800000 || iy > 0x7f800000)
+ else if (iy > 0x7f800000)
{
bRet = true;
retVal = NAN;
@@ -2433,120 +2434,152 @@ OVERLOADABLE float __gen_ocl_internal_pow(float x, float y) {
* yisint = 1 ... y is an odd int
* yisint = 2 ... y is an even int
*/
- yisint = 0;
- if(hx<0) {
- k = (iy>>23)-0x7f; /* exponent */
- j = iy>>(23-k);
- yisint = (iy>=0x3f800000 && (j<<(23-k))==iy)? 2-(j&1):yisint;
- yisint = (iy>=0x4b800000) ? 2:yisint;
- }
-
- /* special value of x */
- if(ix==0x7f800000||ix==0||ix==0x3f800000){
- z = ax; /*x is +-0,+-inf,+-1*/
+ sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
- z = (hy < 0)? one/z:z;
- z = ((hx<0) && (((ix-0x3f800000)|yisint)==0))? NAN:z;
- z = ((hx<0) && (yisint==1))? -z:z;
+ if(hx >= 0x7f800000)
+ {
+ yisint = 0;
+ n = (hx>>31)-1;
- retVal = (bRet)? retVal:z;
- bRet = true;
- }
+ if (!retVal && ix > 0x7f800000)
+ {
+ bRet = true;
+ retVal = NAN;
+ }
- n = ((uint)hx>>31)-1;
+ if(hx >= 0x80000000) {
+ k = (iy>>23)-0x7f; /* exponent */
+ j = iy>>(23-k);
+ yisint = (iy>=0x3f800000 && (j<<(23-k))==iy)? 2-(j&1):yisint;
+ yisint = (iy>=0x4b800000) ? 2:yisint;
+ }
- /* (x<0)**(non-int) is NaN */
- if(!bRet && (n|yisint)==0)
- {
- bRet= true;
- retVal = NAN;
- }
+ /* special value of x */
+ if(ix==0x7f800000||ix==0||ix==0x3f800000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ z = (hy < 0)? one/z:z;
+ z = (((ix-0x3f800000)|yisint)==0)? NAN:z;
+ z = (yisint==1)? -z:z;
+ retVal = (bRet)? retVal:z;
+ bRet = true;
+ }
- sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
- if((n|(yisint-1))==0) sn = -one;/* (-ve)**(odd int) */
+ /* (x<0)**(non-int) is NaN */
+ if(!bRet && (n|yisint)==0)
+ {
+ bRet= true;
+ retVal = NAN;
+ }
- /* |y| is huge */
- if(iy>0x4d000000)
- { /* if |y| > 2**27 */
- /* over/underflow if x is not close to one */
- /* special value of y */
- float b1 = (hy>=0)? y: zero;
- float b2 = (hy<0)?-y: zero;
- b1 = (ix > 0x3f800000)? b1:b2;
- retVal = (iy==0x7f800000 && !bRet)? b1:retVal;
- bRet = (iy==0x7f800000 && !bRet)? true: bRet;
+ if((n|(yisint-1))==0) sn = -one;/* (-ve)**(odd int) */
+ }
+ /* special value of x */
+ if((ix&0x7fffff) == 0) {
+ if(hx == 0x3f800000)
+ {
+ retVal = one;
+ bRet = true;
+ }
- b1 = (hy>0)? sn*huge*huge:0;
- retVal = (ix>0x3f800007 && !bRet)? b1:retVal;
- bRet = (ix>0x3f800007 && !bRet)? true:bRet;
+ if(ix==0x7f800000||ix==0) {
+ z = ax; /*x is +0,+inf*/
+ z = (hy < 0)? one/z:z;
+ retVal = (bRet)? retVal:z;
+ bRet = true;
+ }
+ }
- /* now |1-x| is tiny <= 2**-20, suffice to compute
- log(x) by x-x^2/2+x^3/3-x^4/4 */
- t = ax-1; /* t has 20 trailing zeros */
- w = (t*t)*((float)0.5-t*(0.333333333333f-t*0.25f));
- u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
- v = t*ivln2_l-w*ivln2;
- t1 = u+v;
- GEN_OCL_GET_FLOAT_WORD(is,t1);
- GEN_OCL_SET_FLOAT_WORD(t1,is&0xfffff000);
- t2 = v-(t1-u);
- }
- else
+ /* |y| is not huge */
+ if(iy <= 0x4d000000)
{
- float s2,s_h,s_l,t_h,t_l;
- n = 0;
- n += ((ix)>>23)-0x7f;
- j = ix&0x007fffff;
- /* determine interval */
- ix = j|0x3f800000; /* normalize ix */
-
- n = (j >= 0x5db3d7)?n+1:n;
- ix = (j >= 0x5db3d7)? ix - 0x00800000:ix;
- k = (j<=0x1cc471 || j >= 0x5db3d7)? 0:1;
+ float s2,s_h,s_l,t_h,t_l;
+ n = ((ix)>>23)-0x7f;
+ j = ix&0x007fffff;
+ /* determine interval */
+ ix = j|0x3f800000; /* normalize ix */
- GEN_OCL_SET_FLOAT_WORD(ax,ix);
+ if(x > 0x1.0p-6 && x < 0x1.2p7 && fabs(y) < 0x1.0p4)
+ {
+ GEN_OCL_SET_FLOAT_WORD(ax,ix);
+ t1 = n;
+ t2 = native_log2(ax);
+ }
+ else
+ {
+ n = (j >= 0x5db3d7)?n+1:n;
+ ix = (j >= 0x5db3d7)? ix - 0x00800000:ix;
+ k = (j<=0x1cc471 || j >= 0x5db3d7)? 0:1;
+
+ GEN_OCL_SET_FLOAT_WORD(ax,ix);
+
+ bp = k? 1.5:bp;
+ dp_h = k? 5.84960938e-01:dp_h;
+ dp_l = k? 1.56322085e-06:dp_l;
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp);
+ s = u*v;
+ s_h = s;
+ GEN_OCL_GET_FLOAT_WORD(is,s_h);
+ GEN_OCL_SET_FLOAT_WORD(s_h,is&0xfffff000);
+ /* t_h=ax+bp[k] High */
+ is = ((ix>>1)&0xfffff000)|0x20000000;
+ GEN_OCL_SET_FLOAT_WORD(t_h,is+0x00400000+(k<<21));
+ t_l = ax - (t_h-bp);
+ s_l = v*(mad(-s_h, t_l, mad(-s_h, t_h, u)));
+
+ /* compute log(ax) */
+ s2 = s*s;
+ r = s2*s2*(mad(s2, L2, L1));
+ r = mad(s_l, (s_h+s), r);
+ t_h = mad(s_h, s_h, 3.0f)+r;
+ GEN_OCL_GET_FLOAT_WORD(is,t_h);
+ GEN_OCL_SET_FLOAT_WORD(t_h,is&0xffffe000);
+ t_l = r-(mad(-s_h, s_h, (t_h-3.0f)));
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = mad(s_l, t_h, t_l*s);
+ /* 2/(3log2)*(s+...) */
+ p_h = mad(s_h, t_h, v);
+ GEN_OCL_GET_FLOAT_WORD(is,p_h);
+ GEN_OCL_SET_FLOAT_WORD(p_h,is&0xffffe000);
+ p_l = v-(mad(-s_h, t_h, p_h));
+ z_l = mad(cp_l, p_h, mad(p_l, cp, dp_l));
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (float)n;
+ t1 = ((mad(cp_h, p_h, z_l)+dp_h)+t);
+ GEN_OCL_GET_FLOAT_WORD(is,t1);
+ GEN_OCL_SET_FLOAT_WORD(t1,is&0xffffe000);
+ t2 = z_l-mad(-cp_h, p_h, ((t1-t)-dp_h));
+ }
+ }
+ else
+ { /* if |y| > 2**27 */
+ /* over/underflow if x is not close to one */
+ /* special value of y */
+ float b1 = (hy>=0)? y: zero;
+ float b2 = (hy<0)?-y: zero;
+ b1 = (ix > 0x3f800000)? b1:b2;
+ retVal = (iy==0x7f800000 && !bRet)? b1:retVal;
+ bRet = (iy==0x7f800000 && !bRet)? true: bRet;
- bp = k? 1.5:bp;
- dp_h = k? 5.84960938e-01:dp_h;
- dp_l = k? 1.56322085e-06:dp_l;
- /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
- u = ax-bp; /* bp[0]=1.0, bp[1]=1.5 */
- v = one/(ax+bp);
- s = u*v;
- s_h = s;
- GEN_OCL_GET_FLOAT_WORD(is,s_h);
- GEN_OCL_SET_FLOAT_WORD(s_h,is&0xfffff000);
- /* t_h=ax+bp[k] High */
- is = ((ix>>1)&0xfffff000)|0x20000000;
- GEN_OCL_SET_FLOAT_WORD(t_h,is+0x00400000+(k<<21));
- t_l = ax - (t_h-bp);
- s_l = v*(mad(-s_h, t_l, mad(-s_h, t_h, u)));
+ b1 = (hy>0)? sn*huge*huge:0;
+ retVal = (ix>0x3f800007 && !bRet)? b1:retVal;
+ bRet = (ix>0x3f800007 && !bRet)? true:bRet;
- /* compute log(ax) */
- s2 = s*s;
- r = s2*s2*(mad(s2, L2, L1));
- r = mad(s_l, (s_h+s), r);
- t_h = mad(s_h, s_h, 3.0f)+r;
- GEN_OCL_GET_FLOAT_WORD(is,t_h);
- GEN_OCL_SET_FLOAT_WORD(t_h,is&0xffffe000);
- t_l = r-(mad(-s_h, s_h, (t_h-3.0f)));
- /* u+v = s*(1+...) */
- u = s_h*t_h;
- v = mad(s_l, t_h, t_l*s);
- /* 2/(3log2)*(s+...) */
- p_h = mad(s_h, t_h, v);
- GEN_OCL_GET_FLOAT_WORD(is,p_h);
- GEN_OCL_SET_FLOAT_WORD(p_h,is&0xffffe000);
- p_l = v-(mad(-s_h, t_h, p_h));
- z_l = mad(cp_l, p_h, mad(p_l, cp, dp_l));
- /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
- t = (float)n;
- t1 = ((mad(cp_h, p_h, z_l)+dp_h)+t);
- GEN_OCL_GET_FLOAT_WORD(is,t1);
- GEN_OCL_SET_FLOAT_WORD(t1,is&0xffffe000);
- t2 = z_l-mad(-cp_h, p_h, ((t1-t)-dp_h));
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = ax-1; /* t has 20 trailing zeros */
+ w = (t*t)*((float)0.5-t*(0.333333333333f-t*0.25f));
+ u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ GEN_OCL_GET_FLOAT_WORD(is,t1);
+ GEN_OCL_SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = v-(t1-u);
}
/* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
@@ -2554,52 +2587,21 @@ OVERLOADABLE float __gen_ocl_internal_pow(float x, float y) {
GEN_OCL_SET_FLOAT_WORD(y1,is&0xffffe000);
p_l = mad((y-y1), t1, y*t2);
p_h = y1*t1;
- z = mad(y1, t1, p_l);
- GEN_OCL_GET_FLOAT_WORD(j,z);
- if((j&0x7fffffff) >= 0x43000000 && !bRet)
+ z = mad(y1, t1, p_l);
+ if(fabs(z) >= 128.0f)
{
- retVal = ((j&0x7fffffff)>0x43160000)? 0.0:retVal;
- retVal = (j > 0x43000000) ? sn*huge*huge:retVal;
- retVal = (j == 0x43000000 && p_l+ovt>z-p_h)? sn*huge*huge:retVal;
- retVal = (j == 0xc3160000 && p_l<=z-p_h)? 0.0:retVal;
- bRet = (((j&0x7fffffff)>0x43160000) || (j == 0xc3160000 && p_l<=z-p_h) || retVal == sn*huge*huge)? true:false;
- }
-
- /*
- * compute 2**(p_h+p_l)
- */
- i = j&0x7fffffff;
- k = (i>>23)-0x7f;
- n = 0;
- if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
- n = j+(0x00800000>>(k+1));
- k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */
- GEN_OCL_SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
- n = ((n&0x007fffff)|0x00800000)>>(23-k);
- n = (j<0)?-n:n;
- p_h = mad(y1, t1, -t);
+ if(!bRet)
+ {
+ retVal = (fabs(z) > 150.0f)? 0.0:retVal;
+ retVal = (z > 128.0f) ? sn*INFINITY:retVal;
+ retVal = (z == 128.0f && p_l+ovt>z-p_h)? sn*INFINITY:retVal;
+ retVal = (z == -150.0f && p_l<=z-p_h)? 0.0:retVal;
+ bRet = ((fabs(z) > 150.0f) || (z == -150.0f && p_l<=z-p_h) || retVal == sn*INFINITY)? true:false;
+ }
}
- t = p_l+p_h;
- GEN_OCL_GET_FLOAT_WORD(is,t);
- GEN_OCL_SET_FLOAT_WORD(t,is&0xffff8000);
-
- v = mad((p_l-(t-p_h)), lg2, t*lg2_l);
- z = mad(t, lg2_h, v);
- w = v-mad(-t, lg2_h, z);
- t = z*z;
- t1 = mad(-t, (mad(t, P2, P1)), z);
- r = (z*t1)/(t1-two)-(mad(z, w, w));
- z = one-(r-z);
-
- GEN_OCL_GET_FLOAT_WORD(j,z);
- j += (n<<23);
-
- if((j>>23)<=0)
- z = 0;//__gen_ocl_scalbnf(z,n); /* subnormal output */
- else
- GEN_OCL_SET_FLOAT_WORD(z,j);
+ z = exp2(p_l)*exp2(p_h);
return bRet ? retVal:sn*z;
}
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