/* * Copyright 2023 Siemens * * The authors hereby grant permission to use, copy, modify, distribute, * and license this software and its documentation for any purpose, provided * that existing copyright notices are retained in all copies and that this * notice is included verbatim in any distributions. No written agreement, * license, or royalty fee is required for any of the authorized uses. * Modifications to this software may be copyrighted by their authors * and need not follow the licensing terms described here, provided that * the new terms are clearly indicated on the first page of each file where * they apply. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* Based on newlib/libm/mathfp/s_fmod.c in Newlib. */ #include "amdgcnmach.h" DEF_VD_MATH_FUNC (v64df, fmod, v64df x, v64df y) { FUNCTION_INIT(v64df); v64si hx, hy, hz; v64usi lx, ly, lz; EXTRACT_WORDS (hx, lx, x); EXTRACT_WORDS (hy, ly, y); v64si sx = hx & 0x80000000; /* sign of x */ hx ^=sx; /* |x| */ hy &= 0x7fffffff; /* |y| */ v64df zeroes = VECTOR_MERGE (VECTOR_INIT (-0.0), VECTOR_INIT (0.0), sx != 0); /* purge off exception values */ VECTOR_IF (((hy | ly) == 0) | (hx >= 0x7ff00000) | ((hy | ((ly | -ly) >> 31)) > 0x7ff00000), cond) // y=0, or x not finite or y is NaN VECTOR_RETURN ((x * y) / (x * y), cond); VECTOR_ENDIF VECTOR_IF (hx <= hy, cond) // |x|<|y| return x VECTOR_IF2 ((hx < hy) | (lx < ly), cond2, cond) VECTOR_RETURN (x, cond); VECTOR_ENDIF VECTOR_IF2 (lx == ly, cond2, cond) VECTOR_RETURN (zeroes, cond2); VECTOR_ENDIF VECTOR_ENDIF /* determine ix = ilogb(x) */ v64si ix; VECTOR_IF (hx < 0x00100000, cond) // subnormal x VECTOR_IF2 (hx == 0, cond2, cond) ix = VECTOR_INIT (-1043); for (v64si i = __builtin_convertvector (lx, v64si); !ALL_ZEROES_P (cond2 & (i > 0)); i <<= 1) VECTOR_COND_MOVE (ix, ix - 1, cond2 & (i > 0)); VECTOR_ELSE2 (cond2, cond) ix = VECTOR_INIT (-1022); for (v64si i = __builtin_convertvector (hx << 11, v64si); !ALL_ZEROES_P (cond2 & (i > 0)); i <<= 1) VECTOR_COND_MOVE (ix, ix - 1, cond2 & (i > 0)); VECTOR_ENDIF VECTOR_ELSE (cond) VECTOR_COND_MOVE (ix, (hx >> 20) - 1023, cond); VECTOR_ENDIF /* determine iy = ilogb(y) */ v64si iy; VECTOR_IF (hy < 0x00100000, cond) // subnormal y VECTOR_IF2 (hy == 0, cond2, cond) iy = VECTOR_INIT (-1043); for (v64si i = __builtin_convertvector (ly, v64si); !ALL_ZEROES_P (cond2 & (i > 0)); i <<= 1) VECTOR_COND_MOVE (iy, iy - 1, cond2 & (i > 0)); VECTOR_ELSE2 (cond2, cond) iy = VECTOR_INIT (-1022); for (v64si i = __builtin_convertvector (hy << 11, v64si); !ALL_ZEROES_P (cond2 & (i > 0)); i <<= 1) VECTOR_COND_MOVE (iy, iy - 1, cond2 & (i > 0)); VECTOR_ENDIF VECTOR_ELSE (cond) VECTOR_COND_MOVE (iy, (hy >> 20) - 1023, cond); VECTOR_ENDIF /* set up {hx,lx}, {hy,ly} and align y to x */ VECTOR_IF (ix >= -1022, cond) VECTOR_COND_MOVE (hx, 0x00100000 | (0x000fffff & hx), cond); VECTOR_ELSE (cond) // subnormal x, shift x to normal { v64si n = -1022 - ix; VECTOR_IF2 (n <= 31, cond2, cond) VECTOR_COND_MOVE (hx, (hx << n) | (lx >> (32 - n)), cond2); VECTOR_COND_MOVE (lx, lx << n, cond2); VECTOR_ELSE2 (cond2, cond) VECTOR_COND_MOVE (hx, __builtin_convertvector (lx << (n - 32), v64si), cond2); VECTOR_COND_MOVE (lx, VECTOR_INIT (0U), cond2); VECTOR_ENDIF } VECTOR_ENDIF VECTOR_IF (iy >= -1022, cond) VECTOR_COND_MOVE (hy, 0x00100000 | (0x000fffff & hy), cond); VECTOR_ELSE (cond) // subnormal y, shift y to normal { v64si n = -1022 - iy; VECTOR_IF2 (n <= 31, cond2, cond) VECTOR_COND_MOVE (hy, (hy << n) | (ly >> (32 - n)), cond2); VECTOR_COND_MOVE (ly, ly << n, cond2); VECTOR_ELSE2 (cond2, cond) VECTOR_COND_MOVE (hy, __builtin_convertvector (ly << (n - 32), v64si), cond2); VECTOR_COND_MOVE (ly, VECTOR_INIT (0U), cond2); VECTOR_ENDIF } VECTOR_ENDIF /* fix point fmod */ v64si n = ix - iy; v64si cond = n != 0; while (!ALL_ZEROES_P (cond)) { hz = hx - hy; lz = lx - ly; VECTOR_IF2 (lx < ly, cond2, cond) VECTOR_COND_MOVE (hz, hz - 1, cond2); VECTOR_ENDIF VECTOR_IF2 (hz < 0, cond2, cond) VECTOR_COND_MOVE (hx, hx + hx + (__builtin_convertvector(lx, v64usi) >> 31), cond2); VECTOR_COND_MOVE (lx, lx + lx, cond2); VECTOR_ELSE2 (cond2, cond) VECTOR_IF2 ((hz | lz) == 0, cond3, cond2) // return sign(x)*0 VECTOR_RETURN (zeroes, cond3); VECTOR_ENDIF VECTOR_COND_MOVE (hx, hz + hz + (__builtin_convertvector(lz, v64usi) >> 31), cond2); VECTOR_COND_MOVE (lx, lz + lz, cond2); VECTOR_ENDIF n += cond; // Active lanes should be -1 cond &= (n != 0); } hz = hx - hy; lz = lx - ly; VECTOR_COND_MOVE (hz, hz - 1, lx < ly); VECTOR_IF (hz >= 0, cond) VECTOR_COND_MOVE (hx, hz, cond); VECTOR_COND_MOVE (lx, lz, cond); VECTOR_ENDIF /* convert back to floating value and restore the sign */ VECTOR_RETURN (zeroes, (hx | lx) == 0); // return sign(x)*0 cond = hx < 0x00100000; while (!ALL_ZEROES_P (cond)) // normalize x { VECTOR_COND_MOVE (hx, hx + hx + (lx >> 31), cond); VECTOR_COND_MOVE (lx, lx + lx, cond); iy += cond; // Active lanes should be -1 cond &= (hx < 0x00100000); } VECTOR_IF (iy >= -1022, cond) // normalize output VECTOR_COND_MOVE (hx, (hx - 0x00100000) | ((iy + 1023) << 20), cond); INSERT_WORDS (x, hx | sx, lx, cond); VECTOR_ELSE (cond) // subnormal output */ n = -1022 - iy; VECTOR_IF2 (n <= 20, cond2, cond) VECTOR_COND_MOVE (lx, (lx >> n) | (hx << (32 - n)), cond2); VECTOR_COND_MOVE (hx, hx >> n, cond2); VECTOR_ELSEIF2 (n <= 31, cond2, cond) VECTOR_COND_MOVE (lx, __builtin_convertvector ((hx << (32 - n)) | (lx >> n), v64usi), cond2); VECTOR_COND_MOVE (hx, sx, cond2); VECTOR_ELSE2 (cond2, cond) VECTOR_COND_MOVE (lx, __builtin_convertvector (hx >> (n - 32), v64usi), cond2); VECTOR_COND_MOVE (hx, sx, cond2); VECTOR_ENDIF INSERT_WORDS (x, hx | sx, lx, cond); x *= VECTOR_INIT (1.0); /* create necessary signal */ VECTOR_ENDIF VECTOR_RETURN (x, NO_COND); /* exact output */ FUNCTION_RETURN; } DEF_VARIANTS2 (fmod, df, df)