Skip to content
Merged
Show file tree
Hide file tree
Changes from 2 commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 1 addition & 3 deletions libclc/clc/include/clc/math/clc_remquo.h
Original file line number Diff line number Diff line change
Expand Up @@ -10,12 +10,10 @@
#define __CLC_MATH_CLC_REMQUO_H__

#define __CLC_FUNCTION __clc_remquo

#define __CLC_BODY <clc/math/remquo_decl.inc>
#define __CLC_ADDRESS_SPACE private

#include <clc/math/gentype.inc>

#undef __CLC_ADDRESS_SPACE
#undef __CLC_FUNCTION

#endif // __CLC_MATH_CLC_REMQUO_H__
13 changes: 11 additions & 2 deletions libclc/clc/include/clc/math/remquo_decl.inc
Original file line number Diff line number Diff line change
Expand Up @@ -6,5 +6,14 @@
//
//===----------------------------------------------------------------------===//

_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE __CLC_FUNCTION(
__CLC_GENTYPE x, __CLC_GENTYPE y, __CLC_ADDRESS_SPACE __CLC_INTN *q);
_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE __CLC_FUNCTION(__CLC_GENTYPE x,
__CLC_GENTYPE y,
private __CLC_INTN *q);

_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE __CLC_FUNCTION(__CLC_GENTYPE x,
__CLC_GENTYPE y,
global __CLC_INTN *q);

_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE __CLC_FUNCTION(__CLC_GENTYPE x,
__CLC_GENTYPE y,
local __CLC_INTN *q);
266 changes: 9 additions & 257 deletions libclc/clc/lib/generic/math/clc_remquo.cl
Original file line number Diff line number Diff line change
Expand Up @@ -18,262 +18,14 @@
#include <clc/math/math.h>
#include <clc/shared/clc_max.h>

_CLC_DEF _CLC_OVERLOAD float __clc_remquo(float x, float y,
__private int *quo) {
x = __clc_flush_denormal_if_not_supported(x);
y = __clc_flush_denormal_if_not_supported(y);
int ux = __clc_as_int(x);
int ax = ux & EXSIGNBIT_SP32;
float xa = __clc_as_float(ax);
int sx = ux ^ ax;
int ex = ax >> EXPSHIFTBITS_SP32;
#define __CLC_ADDRESS_SPACE private
#include <clc_remquo.inc>
#undef __CLC_ADDRESS_SPACE

int uy = __clc_as_int(y);
int ay = uy & EXSIGNBIT_SP32;
float ya = __clc_as_float(ay);
int sy = uy ^ ay;
int ey = ay >> EXPSHIFTBITS_SP32;
#define __CLC_ADDRESS_SPACE global
#include <clc_remquo.inc>
#undef __CLC_ADDRESS_SPACE

float xr = __clc_as_float(0x3f800000 | (ax & 0x007fffff));
float yr = __clc_as_float(0x3f800000 | (ay & 0x007fffff));
int c;
int k = ex - ey;

uint q = 0;

while (k > 0) {
c = xr >= yr;
q = (q << 1) | c;
xr -= c ? yr : 0.0f;
xr += xr;
--k;
}

c = xr > yr;
q = (q << 1) | c;
xr -= c ? yr : 0.0f;

int lt = ex < ey;

q = lt ? 0 : q;
xr = lt ? xa : xr;
yr = lt ? ya : yr;

c = (yr < 2.0f * xr) | ((yr == 2.0f * xr) & ((q & 0x1) == 0x1));
xr -= c ? yr : 0.0f;
q += c;

float s = __clc_as_float(ey << EXPSHIFTBITS_SP32);
xr *= lt ? 1.0f : s;

int qsgn = sx == sy ? 1 : -1;
int quot = (q & 0x7f) * qsgn;

c = ax == ay;
quot = c ? qsgn : quot;
xr = c ? 0.0f : xr;

xr = __clc_as_float(sx ^ __clc_as_int(xr));

c = ax > PINFBITPATT_SP32 | ay > PINFBITPATT_SP32 | ax == PINFBITPATT_SP32 |
ay == 0;
quot = c ? 0 : quot;
xr = c ? __clc_as_float(QNANBITPATT_SP32) : xr;

*quo = quot;

return xr;
}
// remquo signature is special, we don't have macro for this
#define __VEC_REMQUO(TYPE, VEC_SIZE, HALF_VEC_SIZE) \
_CLC_DEF _CLC_OVERLOAD TYPE##VEC_SIZE __clc_remquo( \
TYPE##VEC_SIZE x, TYPE##VEC_SIZE y, __private int##VEC_SIZE *quo) { \
int##HALF_VEC_SIZE lo, hi; \
TYPE##VEC_SIZE ret; \
ret.lo = __clc_remquo(x.lo, y.lo, &lo); \
ret.hi = __clc_remquo(x.hi, y.hi, &hi); \
(*quo).lo = lo; \
(*quo).hi = hi; \
return ret; \
}

#define __VEC3_REMQUO(TYPE) \
_CLC_DEF _CLC_OVERLOAD TYPE##3 __clc_remquo(TYPE##3 x, TYPE##3 y, \
__private int##3 * quo) { \
int2 lo; \
int hi; \
TYPE##3 ret; \
ret.s01 = __clc_remquo(x.s01, y.s01, &lo); \
ret.s2 = __clc_remquo(x.s2, y.s2, &hi); \
(*quo).s01 = lo; \
(*quo).s2 = hi; \
return ret; \
}
__VEC_REMQUO(float, 2, )
__VEC3_REMQUO(float)
__VEC_REMQUO(float, 4, 2)
__VEC_REMQUO(float, 8, 4)
__VEC_REMQUO(float, 16, 8)

#ifdef cl_khr_fp64

#pragma OPENCL EXTENSION cl_khr_fp64 : enable

_CLC_DEF _CLC_OVERLOAD double __clc_remquo(double x, double y,
__private int *pquo) {
ulong ux = __clc_as_ulong(x);
ulong ax = ux & ~SIGNBIT_DP64;
ulong xsgn = ux ^ ax;
double dx = __clc_as_double(ax);
int xexp = __clc_convert_int(ax >> EXPSHIFTBITS_DP64);
int xexp1 = 11 - (int)__clc_clz(ax & MANTBITS_DP64);
xexp1 = xexp < 1 ? xexp1 : xexp;

ulong uy = __clc_as_ulong(y);
ulong ay = uy & ~SIGNBIT_DP64;
double dy = __clc_as_double(ay);
int yexp = __clc_convert_int(ay >> EXPSHIFTBITS_DP64);
int yexp1 = 11 - (int)__clc_clz(ay & MANTBITS_DP64);
yexp1 = yexp < 1 ? yexp1 : yexp;

int qsgn = ((ux ^ uy) & SIGNBIT_DP64) == 0UL ? 1 : -1;

// First assume |x| > |y|

// Set ntimes to the number of times we need to do a
// partial remainder. If the exponent of x is an exact multiple
// of 53 larger than the exponent of y, and the mantissa of x is
// less than the mantissa of y, ntimes will be one too large
// but it doesn't matter - it just means that we'll go round
// the loop below one extra time.
int ntimes = __clc_max(0, (xexp1 - yexp1) / 53);
double w = __clc_ldexp(dy, ntimes * 53);
w = ntimes == 0 ? dy : w;
double scale = ntimes == 0 ? 1.0 : 0x1.0p-53;

// Each time round the loop we compute a partial remainder.
// This is done by subtracting a large multiple of w
// from x each time, where w is a scaled up version of y.
// The subtraction must be performed exactly in quad
// precision, though the result at each stage can
// fit exactly in a double precision number.
int i;
double t, v, p, pp;

for (i = 0; i < ntimes; i++) {
// Compute integral multiplier
t = __clc_trunc(dx / w);

// Compute w * t in quad precision
p = w * t;
pp = __clc_fma(w, t, -p);

// Subtract w * t from dx
v = dx - p;
dx = v + (((dx - v) - p) - pp);

// If t was one too large, dx will be negative. Add back one w.
dx += dx < 0.0 ? w : 0.0;

// Scale w down by 2^(-53) for the next iteration
w *= scale;
}

// One more time
// Variable todd says whether the integer t is odd or not
t = __clc_floor(dx / w);
long lt = (long)t;
int todd = lt & 1;

p = w * t;
pp = __clc_fma(w, t, -p);
v = dx - p;
dx = v + (((dx - v) - p) - pp);
i = dx < 0.0;
todd ^= i;
dx += i ? w : 0.0;

lt -= i;

// At this point, dx lies in the range [0,dy)

// For the remainder function, we need to adjust dx
// so that it lies in the range (-y/2, y/2] by carefully
// subtracting w (== dy == y) if necessary. The rigmarole
// with todd is to get the correct sign of the result
// when x/y lies exactly half way between two integers,
// when we need to choose the even integer.

int al = (2.0 * dx > w) | (todd & (2.0 * dx == w));
double dxl = dx - (al ? w : 0.0);

int ag = (dx > 0.5 * w) | (todd & (dx == 0.5 * w));
double dxg = dx - (ag ? w : 0.0);

dx = dy < 0x1.0p+1022 ? dxl : dxg;
lt += dy < 0x1.0p+1022 ? al : ag;
int quo = ((int)lt & 0x7f) * qsgn;

double ret = __clc_as_double(xsgn ^ __clc_as_ulong(dx));
dx = __clc_as_double(ax);

// Now handle |x| == |y|
int c = dx == dy;
t = __clc_as_double(xsgn);
quo = c ? qsgn : quo;
ret = c ? t : ret;

// Next, handle |x| < |y|
c = dx < dy;
quo = c ? 0 : quo;
ret = c ? x : ret;

c &= (yexp<1023 & 2.0 * dx> dy) | (dx > 0.5 * dy);
quo = c ? qsgn : quo;
// we could use a conversion here instead since qsgn = +-1
p = qsgn == 1 ? -1.0 : 1.0;
t = __clc_fma(y, p, x);
ret = c ? t : ret;

// We don't need anything special for |x| == 0

// |y| is 0
c = dy == 0.0;
quo = c ? 0 : quo;
ret = c ? __clc_as_double(QNANBITPATT_DP64) : ret;

// y is +-Inf, NaN
c = yexp > BIASEDEMAX_DP64;
quo = c ? 0 : quo;
t = y == y ? x : y;
ret = c ? t : ret;

// x is +=Inf, NaN
c = xexp > BIASEDEMAX_DP64;
quo = c ? 0 : quo;
ret = c ? __clc_as_double(QNANBITPATT_DP64) : ret;

*pquo = quo;
return ret;
}
__VEC_REMQUO(double, 2, )
__VEC3_REMQUO(double)
__VEC_REMQUO(double, 4, 2)
__VEC_REMQUO(double, 8, 4)
__VEC_REMQUO(double, 16, 8)
#endif

#ifdef cl_khr_fp16

#pragma OPENCL EXTENSION cl_khr_fp16 : enable

_CLC_OVERLOAD _CLC_DEF half __clc_remquo(half x, half y, __private int *pquo) {
return (half)__clc_remquo((float)x, (float)y, pquo);
}
__VEC_REMQUO(half, 2, )
__VEC3_REMQUO(half)
__VEC_REMQUO(half, 4, 2)
__VEC_REMQUO(half, 8, 4)
__VEC_REMQUO(half, 16, 8)

#endif
#define __CLC_ADDRESS_SPACE local
#include <clc_remquo.inc>
#undef __CLC_ADDRESS_SPACE
Loading
Loading