[Beignet] [PATCH 1/5] GBE: Improve precision of sin/cos/sincos
Zhigang Gong
zhigang.gong at linux.intel.com
Wed Jan 15 18:51:31 PST 2014
The patchset is tested OK. Thanks.
On Fri, Jan 10, 2014 at 01:39:39PM +0800, Ruiling Song wrote:
> Signed-off-by: Ruiling Song <ruiling.song at intel.com>
> ---
> backend/src/ocl_stdlib.tmpl.h | 512 +++++++++++++++++++++++++++++++++++++----
> 1 file changed, 469 insertions(+), 43 deletions(-)
>
> diff --git a/backend/src/ocl_stdlib.tmpl.h b/backend/src/ocl_stdlib.tmpl.h
> index 07a4fd9..959ee55 100755
> --- a/backend/src/ocl_stdlib.tmpl.h
> +++ b/backend/src/ocl_stdlib.tmpl.h
> @@ -694,6 +694,15 @@ PURE CONST float __gen_ocl_rndz(float x);
> PURE CONST float __gen_ocl_rnde(float x);
> PURE CONST float __gen_ocl_rndu(float x);
> PURE CONST float __gen_ocl_rndd(float x);
> +INLINE_OVERLOADABLE float __gen_ocl_internal_floor(float x) { return __gen_ocl_rndd(x); }
> +INLINE_OVERLOADABLE float __gen_ocl_internal_copysign(float x, float y) {
> + union { unsigned u; float f; } ux, uy;
> + ux.f = x;
> + uy.f = y;
> + ux.u = (ux.u & 0x7fffffff) | (uy.u & 0x80000000u);
> + return ux.f;
> +}
> +
> INLINE_OVERLOADABLE float __gen_ocl_internal_log(float x) {
> /*
> * Conversion to float by Ian Lance Taylor, Cygnus Support, ian at cygnus.com
> @@ -894,6 +903,464 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_log2(float x) {
> }
> }
>
> +INLINE float __gen_ocl_scalbnf (float x, int n){
> + /* copy from fdlibm */
> + float two25 = 3.355443200e+07, /* 0x4c000000 */
> + twom25 = 2.9802322388e-08, /* 0x33000000 */
> + huge = 1.0e+30,
> + tiny = 1.0e-30;
> + int k,ix;
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> + k = (ix&0x7f800000)>>23; /* extract exponent */
> + if (k==0) { /* 0 or subnormal x */
> + if ((ix&0x7fffffff)==0) return x; /* +-0 */
> + x *= two25;
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> + k = ((ix&0x7f800000)>>23) - 25;
> + }
> + if (k==0xff) return x+x; /* NaN or Inf */
> + if (n< -50000)
> + return tiny*__gen_ocl_internal_copysign(tiny,x); /*underflow*/
> + if (n> 50000 || k+n > 0xfe)
> + return huge*__gen_ocl_internal_copysign(huge,x); /* overflow */
> + /* Now k and n are bounded we know that k = k+n does not overflow. */
> + k = k+n;
> + if (k > 0) { /* normal result */
> + GEN_OCL_SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
> + return x;
> + }
> + if (k <= -25)
> + return tiny*__gen_ocl_internal_copysign(tiny,x); /*underflow*/
> + k += 25; /* subnormal result */
> + GEN_OCL_SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
> + return x*twom25;
> +}
> +
> +
> +
> +__constant const float PIo2[] = {
> + 1.5703125000e+00, /* 0x3fc90000 */
> + 4.5776367188e-04, /* 0x39f00000 */
> + 2.5987625122e-05, /* 0x37da0000 */
> + 7.5437128544e-08, /* 0x33a20000 */
> + 6.0026650317e-11, /* 0x2e840000 */
> + 7.3896444519e-13, /* 0x2b500000 */
> + 5.3845816694e-15, /* 0x27c20000 */
> + 5.6378512969e-18, /* 0x22d00000 */
> + 8.3009228831e-20, /* 0x1fc40000 */
> + 3.2756352257e-22, /* 0x1bc60000 */
> + 6.3331015649e-25, /* 0x17440000 */
> +};
> +
> +INLINE int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const __constant int *ipio2)
> +{
> + /* copied from fdlibm */
> +const float
> +zero = 0.0,
> +one = 1.0,
> +two8 = 2.5600000000e+02, /* 0x43800000 */
> +twon8 = 3.9062500000e-03; /* 0x3b800000 */
> +
> + int init_jk[3]; /* initial value for jk */
> + int jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
> + float z,fw,f[20],fq[20],q[20];
> + init_jk[0] = 4; init_jk[1] = 7; init_jk[2] = 9;
> + /* initialize jk*/
> + jk = init_jk[prec];
> + jp = jk;
> +
> + /* determine jx,jv,q0, note that 3>q0 */
> + jx = nx-1;
> + jv = (e0-3)/8; if(jv<0) jv=0;
> + q0 = e0-8*(jv+1);
> +
> + /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
> + j = jv-jx; m = jx+jk;
> + for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j];
> +
> + /* compute q[0],q[1],...q[jk] */
> + for (i=0;i<=jk;i++) {
> + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
> + }
> +
> + jz = jk;
> +recompute:
> + /* distill q[] into iq[] reversingly */
> + for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
> + fw = (float)((int)(twon8* z));
> + iq[i] = (int)(z-two8*fw);
> + z = q[j-1]+fw;
> + }
> +
> + /* compute n */
> + z = __gen_ocl_scalbnf(z,q0); /* actual value of z */
> + z -= (float)8.0*__gen_ocl_internal_floor(z*(float)0.125); /* trim off integer >= 8 */
> + n = (int) z;
> + z -= (float)n;
> + ih = 0;
> + if(q0>0) { /* need iq[jz-1] to determine n */
> + i = (iq[jz-1]>>(8-q0)); n += i;
> + iq[jz-1] -= i<<(8-q0);
> + ih = iq[jz-1]>>(7-q0);
> + }
> + else if(q0==0) ih = iq[jz-1]>>8;
> + else if(z>=(float)0.5) ih=2;
> +
> + if(ih>0) { /* q > 0.5 */
> + n += 1; carry = 0;
> + for(i=0;i<jz ;i++) { /* compute 1-q */
> + j = iq[i];
> + if(carry==0) {
> + if(j!=0) {
> + carry = 1; iq[i] = 0x100- j;
> + }
> + } else iq[i] = 0xff - j;
> + }
> + if(q0>0) { /* rare case: chance is 1 in 12 */
> + switch(q0) {
> + case 1:
> + iq[jz-1] &= 0x7f; break;
> + case 2:
> + iq[jz-1] &= 0x3f; break;
> + }
> + }
> + if(ih==2) {
> + z = one - z;
> + if(carry!=0) z -= __gen_ocl_scalbnf(one,q0);
> + }
> + }
> +
> + /* check if recomputation is needed */
> + if(z==zero) {
> + j = 0;
> + for (i=jz-1;i>=jk;i--) j |= iq[i];
> + if(j==0) { /* need recomputation */
> + for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
> +
> + for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
> + f[jx+i] = (float) ipio2[jv+i];
> + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
> + q[i] = fw;
> + }
> + jz += k;
> + goto recompute;
> + }
> + }
> +
> + /* chop off zero terms */
> + if(z==(float)0.0) {
> + jz -= 1; q0 -= 8;
> + while(iq[jz]==0) { jz--; q0-=8;}
> + } else { /* break z into 8-bit if necessary */
> + z = __gen_ocl_scalbnf(z,-q0);
> + if(z>=two8) {
> + fw = (float)((int)(twon8*z));
> + iq[jz] = (int)(z-two8*fw);
> + jz += 1; q0 += 8;
> + iq[jz] = (int) fw;
> + } else iq[jz] = (int) z ;
> + }
> +
> + /* convert integer "bit" chunk to floating-point value */
> + fw = __gen_ocl_scalbnf(one,q0);
> + for(i=jz;i>=0;i--) {
> + q[i] = fw*(float)iq[i]; fw*=twon8;
> + }
> +
> + /* compute PIo2[0,...,jp]*q[jz,...,0] */
> + for(i=jz;i>=0;i--) {
> + for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
> + fq[jz-i] = fw;
> + }
> +
> + /* compress fq[] into y[] */
> + switch(prec) {
> + case 0:
> + fw = 0.0;
> + for (i=jz;i>=0;i--) fw += fq[i];
> + y[0] = (ih==0)? fw: -fw;
> + break;
> + case 1:
> + case 2:
> + fw = 0.0;
> + for (i=jz;i>=0;i--) fw += fq[i];
> + y[0] = (ih==0)? fw: -fw;
> + fw = fq[0]-fw;
> + for (i=1;i<=jz;i++) fw += fq[i];
> + y[1] = (ih==0)? fw: -fw;
> + break;
> + case 3: /* painful */
> + for (i=jz;i>0;i--) {
> + fw = fq[i-1]+fq[i];
> + fq[i] += fq[i-1]-fw;
> + fq[i-1] = fw;
> + }
> + for (i=jz;i>1;i--) {
> + fw = fq[i-1]+fq[i];
> + fq[i] += fq[i-1]-fw;
> + fq[i-1] = fw;
> + }
> + for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
> + if(ih==0) {
> + y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
> + } else {
> + y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
> + }
> + }
> + return n&7;
> +
> +}
> +__constant const int npio2_hw[32] = {
> +0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
> +0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
> +0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
> +0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
> +0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
> +0x4242c700, 0x42490f00
> +};
> +
> +__constant const int two_over_pi[22*9] = {
> +0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
> +0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62,
> +0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
> +0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A,
> +0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
> +0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29,
> +0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
> +0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41,
> +0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
> +0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8,
> +0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
> +0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF,
> +0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
> +0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5,
> +0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
> +0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08,
> +0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
> +0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3,
> +0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
> +0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80,
> +0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
> +0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B,
> +};
> +
> +
> +
> +INLINE int __ieee754_rem_pio2f(float x, float *y) {
> + /* copied from fdlibm */
> + float z,w,t,r,fn;
> + float tx[3];
> +
> +const float half_value = 5.0000000e-1;
> +const float zero = 0.0000000000;
> +const float two8 = 2.5600000000e+02;
> +const float invpio2 = 6.3661980629e-01;
> +const float pio2_1 = 1.5707855225e+00;
> +const float pio2_1t = 1.0804334124e-05;
> +const float pio2_2 = 1.0804273188e-05;
> +const float pio2_2t = 6.0770999344e-11;
> +const float pio2_3 = 6.0770943833e-11;
> +const float pio2_3t = 6.1232342629e-17;
> + int e0,i,j,nx,n,ix,hx;
> +
> + GEN_OCL_GET_FLOAT_WORD(hx,x);
> + ix = hx&0x7fffffff;
> + if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */
> + {y[0] = x; y[1] = 0; return 0;}
> + if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */
> + if(hx>0) {
> + z = x - pio2_1;
> + if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
> + y[0] = z - pio2_1t;
> + y[1] = (z-y[0])-pio2_1t;
> + } else { /* near pi/2, use 24+24+24 bit pi */
> + z -= pio2_2;
> + y[0] = z - pio2_2t;
> + y[1] = (z-y[0])-pio2_2t;
> + }
> + return 1;
> + } else { /* negative x */
> + z = x + pio2_1;
> + if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
> + y[0] = z + pio2_1t;
> + y[1] = (z-y[0])+pio2_1t;
> + } else { /* near pi/2, use 24+24+24 bit pi */
> + z += pio2_2;
> + y[0] = z + pio2_2t;
> + y[1] = (z-y[0])+pio2_2t;
> + }
> + return -1;
> + }
> + }
> + if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
> + t = __gen_ocl_fabs(x);
> + n = (int) (t*invpio2+half_value);
> + fn = (float)n;
> + r = t-fn*pio2_1;
> + w = fn*pio2_1t; /* 1st round good to 40 bit */
> + if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) {
> + y[0] = r-w; /* quick check no cancellation */
> + } else {
> + uint high;
> + j = ix>>23;
> + y[0] = r-w;
> + GEN_OCL_GET_FLOAT_WORD(high,y[0]);
> + i = j-((high>>23)&0xff);
> + if(i>8) { /* 2nd iteration needed, good to 57 */
> + t = r;
> + w = fn*pio2_2;
> + r = t-w;
> + w = fn*pio2_2t-((t-r)-w);
> + y[0] = r-w;
> + GEN_OCL_GET_FLOAT_WORD(high,y[0]);
> + i = j-((high>>23)&0xff);
> + if(i>25) { /* 3rd iteration need, 74 bits acc */
> + t = r; /* will cover all possible cases */
> + w = fn*pio2_3;
> + r = t-w;
> + w = fn*pio2_3t-((t-r)-w);
> + y[0] = r-w;
> + }
> + }
> + }
> + y[1] = (r-y[0])-w;
> + if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
> + else return n;
> + }
> + /*
> + * all other (large) arguments
> + */
> + if(ix>=0x7f800000) { /* x is inf or NaN */
> + y[0]=y[1]=x-x; return 0;
> + }
> + /* set z = scalbn(|x|,ilogb(x)-7) */
> + e0 = (ix>>23)-134; /* e0 = ilogb(z)-7; */
> + GEN_OCL_SET_FLOAT_WORD(z, ix - ((int)(e0<<23)));
> + for(i=0;i<2;i++) {
> + tx[i] = (float)((int)(z));
> + z = (z-tx[i])*two8;
> + }
> + tx[2] = z;
> + nx = 3;
> + while(tx[nx-1]==zero) nx--; /* skip zero term */
> + n = __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
> + if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
> + return n;
> +}
> +
> +INLINE_OVERLOADABLE float __kernel_sinf(float x, float y, int iy)
> +{
> + /* copied from fdlibm */
> +const float
> +half_value = 5.0000000000e-01,/* 0x3f000000 */
> +S1 = -1.6666667163e-01, /* 0xbe2aaaab */
> +S2 = 8.3333337680e-03, /* 0x3c088889 */
> +S3 = -1.9841270114e-04, /* 0xb9500d01 */
> +S4 = 2.7557314297e-06, /* 0x3638ef1b */
> +S5 = -2.5050759689e-08, /* 0xb2d72f34 */
> +S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */
> + float z,r,v;
> + int ix;
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> + ix &= 0x7fffffff; /* high word of x */
> + if(ix<0x32000000) /* |x| < 2**-27 */
> + {if((int)x==0) return x;} /* generate inexact */
> + z = x*x;
> + v = z*x;
> + r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
> + if(iy==0) return x+v*(S1+z*r);
> + else return x-((z*(half_value*y-v*r)-y)-v*S1);
> +}
> +
> +INLINE float __kernel_cosf(float x, float y)
> +{
> + /* copied from fdlibm */
> + const float
> + one = 1.0000000000e+00, /* 0x3f800000 */
> + C1 = 4.1666667908e-02, /* 0x3d2aaaab */
> + C2 = -1.3888889225e-03, /* 0xbab60b61 */
> + C3 = 2.4801587642e-05, /* 0x37d00d01 */
> + C4 = -2.7557314297e-07, /* 0xb493f27c */
> + C5 = 2.0875723372e-09, /* 0x310f74f6 */
> + C6 = -1.1359647598e-11; /* 0xad47d74e */
> + const float pio2_hi = 0x1.92p0, pio2_mid = 0x1.fb4p-12, pio2_low = 0x1.4442d2p-24;
> + float a,hz,z,r,qx;
> + int ix;
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> + ix &= 0x7fffffff; /* ix = |x|'s high word*/
> + if(ix<0x32000000) { /* if x < 2**27 */
> + if(((int)x)==0) return one; /* generate inexact */
> + }
> +
> + if(x < 0.0f) { x= -x; y = -y; }
> + if(ix > 0x3f490fdb) { /* |x|>pi/4*/
> + return -__kernel_sinf(x-pio2_hi-pio2_mid-pio2_low, y, 1);
> + }
> + z = x*x;
> + r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
> + if(ix < 0x3e99999a) /* if |x| < 0.3 */
> + return one - ((float)0.5*z - (z*r - x*y));
> + else {
> + GEN_OCL_SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */
> + hz = (float)0.5*z-qx;
> + a = one-qx;
> + return a - (hz - (z*r-x*y));
> + }
> +}
> +
> +INLINE_OVERLOADABLE float sin(float x) {
> + /* copied from fdlibm */
> + float y[2],z=0.0;
> + int n, ix;
> +
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> +
> + /* |x| ~< pi/4 */
> + ix &= 0x7fffffff;
> + if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);
> +
> + /* sin(Inf or NaN) is NaN */
> + else if (ix>=0x7f800000) return x-x;
> +
> + /* argument reduction needed */
> + else {
> + n = __ieee754_rem_pio2f(x,y);
> + switch(n&3) {
> + case 0: return __kernel_sinf(y[0],y[1],1);
> + case 1: return __kernel_cosf(y[0],y[1]);
> + case 2: return -__kernel_sinf(y[0],y[1],1);
> + default:
> + return -__kernel_cosf(y[0],y[1]);
> + }
> + }
> +}
> +INLINE_OVERLOADABLE float cos(float x) {
> + /* copied from fdlibm */
> + float y[2],z=0.0;
> + int n, ix;
> +
> + GEN_OCL_GET_FLOAT_WORD(ix,x);
> +
> + /* |x| ~< pi/4 */
> + ix &= 0x7fffffff;
> + if(ix <= 0x3f490fd8) return __kernel_cosf(x,z);
> +
> + /* cos(Inf or NaN) is NaN */
> + else if (ix>=0x7f800000) return x-x;
> +
> + /* argument reduction needed */
> + else {
> + n = __ieee754_rem_pio2f(x,y);
> + switch(n&3) {
> + case 0: return __kernel_cosf(y[0],y[1]);
> + case 1: return -__kernel_sinf(y[0],y[1],1);
> + case 2: return -__kernel_cosf(y[0],y[1]);
> + default:
> + return __kernel_sinf(y[0],y[1],1);
> + }
> + }
> +}
> +
> INLINE_OVERLOADABLE float hypot(float x, float y) { return __gen_ocl_sqrt(x*x + y*y); }
> INLINE_OVERLOADABLE float native_cos(float x) { return __gen_ocl_cos(x); }
> INLINE_OVERLOADABLE float __gen_ocl_internal_cospi(float x) {
> @@ -1672,17 +2139,10 @@ INLINE_OVERLOADABLE float native_exp10(float x) { return __gen_ocl_pow(10, x); }
> INLINE_OVERLOADABLE float __gen_ocl_internal_cbrt(float x) {
> return __gen_ocl_pow(x, 0.3333333333f);
> }
> -INLINE_OVERLOADABLE float __gen_ocl_internal_copysign(float x, float y) {
> - union { unsigned u; float f; } ux, uy;
> - ux.f = x;
> - uy.f = y;
> - ux.u = (ux.u & 0x7fffffff) | (uy.u & 0x80000000u);
> - return ux.f;
> -}
>
> #define BODY \
> - *cosval = native_cos(x); \
> - return native_sin(x);
> + *cosval = cos(x); \
> + return sin(x);
> INLINE_OVERLOADABLE float sincos(float x, global float *cosval) { BODY; }
> INLINE_OVERLOADABLE float sincos(float x, local float *cosval) { BODY; }
> INLINE_OVERLOADABLE float sincos(float x, private float *cosval) { BODY; }
> @@ -1717,37 +2177,6 @@ INLINE float __gen_ocl_asin_util(float x) {
> float w = p / q;
> return x + x*w;
> }
> -float __gen_ocl_scalbnf (float x, int n){
> - float two25 = 3.355443200e+07, /* 0x4c000000 */
> - twom25 = 2.9802322388e-08, /* 0x33000000 */
> - huge = 1.0e+30,
> - tiny = 1.0e-30;
> - int k,ix;
> - GEN_OCL_GET_FLOAT_WORD(ix,x);
> - k = (ix&0x7f800000)>>23; /* extract exponent */
> - if (k==0) { /* 0 or subnormal x */
> - if ((ix&0x7fffffff)==0) return x; /* +-0 */
> - x *= two25;
> - GEN_OCL_GET_FLOAT_WORD(ix,x);
> - k = ((ix&0x7f800000)>>23) - 25;
> - }
> - if (k==0xff) return x+x; /* NaN or Inf */
> - if (n< -50000)
> - return tiny*__gen_ocl_internal_copysign(tiny,x); /*underflow*/
> - if (n> 50000 || k+n > 0xfe)
> - return huge*__gen_ocl_internal_copysign(huge,x); /* overflow */
> - /* Now k and n are bounded we know that k = k+n does not overflow. */
> - k = k+n;
> - if (k > 0) { /* normal result */
> - GEN_OCL_SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
> - return x;
> - }
> - if (k <= -25)
> - return tiny*__gen_ocl_internal_copysign(tiny,x); /*underflow*/
> - k += 25; /* subnormal result */
> - GEN_OCL_SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
> - return x*twom25;
> -}
>
> INLINE_OVERLOADABLE float __gen_ocl_internal_asin(float x) {
> uint ix;
> @@ -1906,7 +2335,6 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_round(float x) {
> y += __gen_ocl_internal_copysign(1.f, x);
> return y;
> }
> -INLINE_OVERLOADABLE float __gen_ocl_internal_floor(float x) { return __gen_ocl_rndd(x); }
> INLINE_OVERLOADABLE float __gen_ocl_internal_ceil(float x) { return __gen_ocl_rndu(x); }
> INLINE_OVERLOADABLE float powr(float x, float y) { return __gen_ocl_pow(x,y); }
> INLINE_OVERLOADABLE float __gen_ocl_internal_rint(float x) {
> @@ -2382,13 +2810,11 @@ INLINE_OVERLOADABLE float __gen_ocl_internal_atanh(float x) {
> }
>
> // TODO use llvm intrinsics definitions
> -#define cos native_cos
> #define cospi __gen_ocl_internal_cospi
> #define cosh __gen_ocl_internal_cosh
> #define acos __gen_ocl_internal_acos
> #define acospi __gen_ocl_internal_acospi
> #define acosh __gen_ocl_internal_acosh
> -#define sin native_sin
> #define sinpi __gen_ocl_internal_sinpi
> #define sinh __gen_ocl_internal_sinh
> #define asin __gen_ocl_internal_asin
> --
> 1.7.9.5
>
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