libclc: Update fmod implementations (#222369) This was originally ported from rocm device libs in 93af966747b59d37c57312a0c0242151076c072b. Merge in more recent changes. This should also approximately match the default expansion in ExpandIRInsts Co-authored-by: Claude <noreply@anthropic.com> GitOrigin-RevId: ab7245d75cc97db490d73037b5f021a561381d0d
diff --git a/clc/lib/generic/math/clc_fmod.cl b/clc/lib/generic/math/clc_fmod.cl index 7f60b40..699d954 100644 --- a/clc/lib/generic/math/clc_fmod.cl +++ b/clc/lib/generic/math/clc_fmod.cl
@@ -7,60 +7,73 @@ //===----------------------------------------------------------------------===// #include <clc/clc_convert.h> -#include <clc/integer/clc_clz.h> +#include <clc/float/definitions.h> #include <clc/internal/clc.h> -#include <clc/math/clc_floor.h> +#include <clc/math/clc_copysign.h> +#include <clc/math/clc_fabs.h> #include <clc/math/clc_fma.h> +#include <clc/math/clc_frexp.h> #include <clc/math/clc_ldexp.h> -#include <clc/math/clc_trunc.h> +#include <clc/math/clc_recip_fast.h> +#include <clc/math/clc_rint.h> #include <clc/math/math.h> -#include <clc/shared/clc_max.h> +#include <clc/relational/clc_isfinite.h> +#include <clc/relational/clc_isnan.h> _CLC_DEF _CLC_OVERLOAD float __clc_fmod(float x, float 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; + // How many bits of the quotient to resolve per iteration. + const int bits = 12; - int uy = __clc_as_int(y); - int ay = uy & EXSIGNBIT_SP32; - float ya = __clc_as_float(ay); - int ey = ay >> EXPSHIFTBITS_SP32; + float ax = __clc_fabs(x); + float ay = __clc_fabs(y); - float xr = __clc_as_float(0x3f800000 | (ax & 0x007fffff)); - float yr = __clc_as_float(0x3f800000 | (ay & 0x007fffff)); - int c; - int k = ex - ey; + float ret; - while (k > 0) { - c = xr >= yr; - xr -= c ? yr : 0.0f; - xr += xr; - --k; + if (ax > ay) { + int ex, ey; + float mx = __clc_frexp(ax, &ex); + --ex; + float my = __clc_frexp(ay, &ey); + --ey; + + ax = __clc_ldexp(mx, bits); + ay = __clc_ldexp(my, 1); + + int nb = ex - ey; + float ayinv = __clc_recip_fast(ay); + + while (nb > bits) { + float q = __clc_rint(ax * ayinv); + ax = __clc_fma(-q, ay, ax); + int clt = ax < 0.0f; + float axp = ax + ay; + ax = clt ? axp : ax; + ax = __clc_ldexp(ax, bits); + nb -= bits; + } + + ax = __clc_ldexp(ax, nb - bits + 1); + + // Final iteration. + float q = __clc_rint(ax * ayinv); + ax = __clc_fma(-q, ay, ax); + int clt = ax < 0.0f; + float axp = ax + ay; + ax = clt ? axp : ax; + + ax = __clc_ldexp(ax, ey); + ret = __clc_as_float((__clc_as_int(x) & SIGNBIT_SP32) ^ __clc_as_int(ax)); + } else { + // |x| < |y| returns x; |x| == |y| returns a zero with the sign of x. + ret = ax == ay ? __clc_copysign(0.0f, x) : x; } - c = xr >= yr; - xr -= c ? yr : 0.0f; + // fmod(x, 0) is NaN; fmod(Inf, y) is NaN; fmod(x, NaN)/fmod(NaN, y) is NaN. + ret = y == 0.0f ? FLT_NAN : ret; + int c = !__clc_isnan(y) && __clc_isfinite(x); + ret = c ? ret : FLT_NAN; - int lt = ex < ey; - - xr = lt ? xa : xr; - yr = lt ? ya : yr; - - float s = __clc_as_float(ey << EXPSHIFTBITS_SP32); - xr *= lt ? 1.0f : s; - - c = ax == ay; - 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; - xr = c ? __clc_as_float(QNANBITPATT_SP32) : xr; - - return xr; + return ret; } #define __CLC_FLOAT_ONLY @@ -74,99 +87,58 @@ #pragma OPENCL EXTENSION cl_khr_fp64 : enable _CLC_DEF _CLC_OVERLOAD double __clc_fmod(double x, double y) { - 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; + // How many bits of the quotient to resolve per iteration. + const int bits = 26; - 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; + double ax = __clc_fabs(x); + double ay = __clc_fabs(y); - // First assume |x| > |y| + double ret; - // 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; + if (ax > ay) { + int ex, ey; + double mx = __clc_frexp(ax, &ex); + --ex; + double my = __clc_frexp(ay, &ey); + --ey; - // 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; + ax = __clc_ldexp(mx, bits); + ay = __clc_ldexp(my, 1); - for (i = 0; i < ntimes; i++) { - // Compute integral multiplier - t = __clc_trunc(dx / w); + int nb = ex - ey; + double ayinv = 1.0 / ay; - // Compute w * t in quad precision - p = w * t; - pp = __clc_fma(w, t, -p); + while (nb > bits) { + double q = __clc_rint(ax * ayinv); + ax = __clc_fma(-q, ay, ax); + int clt = ax < 0.0; + double axp = ax + ay; + ax = clt ? axp : ax; + ax = __clc_ldexp(ax, bits); + nb -= bits; + } - // Subtract w * t from dx - v = dx - p; - dx = v + (((dx - v) - p) - pp); + ax = __clc_ldexp(ax, nb - bits + 1); - // If t was one too large, dx will be negative. Add back one w. - dx += dx < 0.0 ? w : 0.0; + // Final iteration. + double q = __clc_rint(ax * ayinv); + ax = __clc_fma(-q, ay, ax); + int clt = ax < 0.0; + double axp = ax + ay; + ax = clt ? axp : ax; - // Scale w down by 2^(-53) for the next iteration - w *= scale; + ax = __clc_ldexp(ax, ey); + ret = __clc_as_double((__clc_as_ulong(x) & SIGNBIT_DP64) ^ + __clc_as_ulong(ax)); + } else { + // |x| < |y| returns x; |x| == |y| returns a zero with the sign of x. + ret = ax == ay ? __clc_copysign(0.0, x) : x; } - // One more time - t = __clc_floor(dx / w); - - p = w * t; - pp = __clc_fma(w, t, -p); - v = dx - p; - dx = v + (((dx - v) - p) - pp); - i = dx < 0.0; - dx += i ? w : 0.0; - - // At this point, dx lies in the range [0,dy) - 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); - ret = c ? t : ret; - - // Next, handle |x| < |y| - c = dx < dy; - ret = c ? x : ret; - - // We don't need anything special for |x| == 0 - - // |y| is 0 - c = dy == 0.0; - ret = c ? __clc_as_double(QNANBITPATT_DP64) : ret; - - // y is +-Inf, NaN - c = yexp > BIASEDEMAX_DP64; - t = y == y ? x : y; - ret = c ? t : ret; - - // x is +=Inf, NaN - c = xexp > BIASEDEMAX_DP64; - ret = c ? __clc_as_double(QNANBITPATT_DP64) : ret; + // fmod(x, 0) is NaN; fmod(Inf, y) is NaN; fmod(x, NaN)/fmod(NaN, y) is NaN. + ret = y == 0.0 ? DBL_NAN : ret; + int c = !__clc_isnan(y) && __clc_isfinite(x); + ret = c ? ret : DBL_NAN; return ret; }