floor.c
1 /* 2 * Copyright (C) 2008-2020 Advanced Micro Devices, Inc. All rights reserved. 3 * 4 * Redistribution and use in source and binary forms, with or without modification, 5 * are permitted provided that the following conditions are met: 6 * 1. Redistributions of source code must retain the above copyright notice, 7 * this list of conditions and the following disclaimer. 8 * 2. Redistributions in binary form must reproduce the above copyright notice, 9 * this list of conditions and the following disclaimer in the documentation 10 * and/or other materials provided with the distribution. 11 * 3. Neither the name of the copyright holder nor the names of its contributors 12 * may be used to endorse or promote products derived from this software without 13 * specific prior written permission. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 17 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 18 * IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, 19 * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, 20 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, 21 * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, 22 * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 23 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 24 * POSSIBILITY OF SUCH DAMAGE. 25 * 26 */ 27 28 #include "fn_macros.h" 29 #include "libm_util_amd.h" 30 #include "libm_special.h" 31 32 double FN_PROTOTYPE_REF(floor)(double x) 33 { 34 double r; 35 long long rexp, xneg; 36 37 38 unsigned long long ux, ax, ur, mask; 39 40 GET_BITS_DP64(x, ux); 41 ax = ux & (~SIGNBIT_DP64); 42 xneg = (ux != ax); 43 44 if (ax >= 0x4340000000000000) 45 { 46 /* abs(x) is either NaN, infinity, or >= 2^53 */ 47 if (ax > 0x7ff0000000000000) 48 { 49 /* x is NaN */ 50 #ifdef WINDOWS 51 return __amd_handle_error("floor", __amd_floor, ux|0x0008000000000000, _DOMAIN, 0, EDOM, x, 0.0, 1); 52 #else 53 if(!(ax & 0x0008000000000000)) //x is snan 54 return __amd_handle_error("floor", __amd_floor, ux|0x0008000000000000, _DOMAIN, AMD_F_INVALID, EDOM, x, 0.0, 1); 55 else // x is qnan or inf 56 return x; 57 #endif 58 } 59 else 60 return x; 61 } 62 else if (ax < 0x3ff0000000000000) /* abs(x) < 1.0 */ 63 { 64 if (ax == 0x0000000000000000) 65 /* x is +zero or -zero; return the same zero */ 66 return x; 67 else if (xneg) /* x < 0.0 */ 68 return -1.0; 69 else 70 return 0.0; 71 } 72 else 73 { 74 r = x; 75 rexp = ((ux & EXPBITS_DP64) >> EXPSHIFTBITS_DP64) - EXPBIAS_DP64; 76 /* Mask out the bits of r that we don't want */ 77 mask = 1; 78 mask = (mask << (EXPSHIFTBITS_DP64 - rexp)) - 1; 79 ur = (ux & ~mask); 80 PUT_BITS_DP64(ur, r); 81 if (xneg && (ur != ux)) 82 /* We threw some bits away and x was negative */ 83 return r - 1.0; 84 else 85 return r; 86 } 87 88 } 89 90