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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 | #include "libm.h" #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 long double fmodl(long double x, long double y) { return fmod(x, y); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 long double fmodl(long double x, long double y) { union ldshape ux = {x}, uy = {y}; int ex = ux.i.se & 0x7fff; int ey = uy.i.se & 0x7fff; int sx = ux.i.se & 0x8000; if (y == 0 || isnan(y) || ex == 0x7fff) return (x*y)/(x*y); ux.i.se = ex; uy.i.se = ey; if (ux.f <= uy.f) { if (ux.f == uy.f) return 0*x; return x; } /* normalize x and y */ if (!ex) { ux.f *= 0x1p120f; ex = ux.i.se - 120; } if (!ey) { uy.f *= 0x1p120f; ey = uy.i.se - 120; } /* x mod y */ #if LDBL_MANT_DIG == 64 uint64_t i, mx, my; mx = ux.i.m; my = uy.i.m; for (; ex > ey; ex--) { i = mx - my; if (mx >= my) { if (i == 0) return 0*x; mx = 2*i; } else if (2*mx < mx) { mx = 2*mx - my; } else { mx = 2*mx; } } i = mx - my; if (mx >= my) { if (i == 0) return 0*x; mx = i; } for (; mx >> 63 == 0; mx *= 2, ex--); ux.i.m = mx; #elif LDBL_MANT_DIG == 113 uint64_t hi, lo, xhi, xlo, yhi, ylo; xhi = (ux.i2.hi & -1ULL>>16) | 1ULL<<48; yhi = (uy.i2.hi & -1ULL>>16) | 1ULL<<48; xlo = ux.i2.lo; ylo = uy.i2.lo; for (; ex > ey; ex--) { hi = xhi - yhi; lo = xlo - ylo; if (xlo < ylo) hi -= 1; if (hi >> 63 == 0) { if ((hi|lo) == 0) return 0*x; xhi = 2*hi + (lo>>63); xlo = 2*lo; } else { xhi = 2*xhi + (xlo>>63); xlo = 2*xlo; } } hi = xhi - yhi; lo = xlo - ylo; if (xlo < ylo) hi -= 1; if (hi >> 63 == 0) { if ((hi|lo) == 0) return 0*x; xhi = hi; xlo = lo; } for (; xhi >> 48 == 0; xhi = 2*xhi + (xlo>>63), xlo = 2*xlo, ex--); ux.i2.hi = xhi; ux.i2.lo = xlo; #endif /* scale result */ if (ex <= 0) { ux.i.se = (ex+120)|sx; ux.f *= 0x1p-120f; } else ux.i.se = ex|sx; return ux.f; } #endif |