nexttoward.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 "libm_amd.h" 29 #include "libm_util_amd.h" 30 #include "libm_special.h" 31 32 33 34 35 double FN_PROTOTYPE_REF(nexttoward)(double x, long double y) 36 { 37 38 39 UT64 checkbits; 40 long double dy = (long double) y; 41 checkbits.f64=x; 42 43 44 /* check if the number is nan */ 45 if(((checkbits.u64 & ~SIGNBIT_DP64) > EXPBITS_DP64 )) 46 { 47 #ifdef WINDOWS 48 return __amd_handle_error("nexttoward", __amd_nexttoward, checkbits.u64 | QNAN_MASK_64 , _DOMAIN, AMD_F_NONE, EDOM, x, 0.0, 1); 49 #else 50 if (checkbits.u64 & QNAN_MASK_64) 51 return __amd_handle_error("nexttoward", __amd_nexttoward, checkbits.u64 | QNAN_MASK_64 , _DOMAIN, AMD_F_NONE, EDOM, x, 0.0, 1); 52 else 53 return __amd_handle_error("nexttoward", __amd_nexttoward, checkbits.u64 | QNAN_MASK_64 , _DOMAIN, AMD_F_INVALID, EDOM, x, 0.0, 1); 54 #endif 55 } 56 57 /* if x == y return y in the type of x */ 58 if( x == dy ) 59 { 60 return (double) dy; 61 } 62 63 if( x == 0.0) 64 { 65 checkbits.u64 = 1; 66 if( dy > 0.0 ) 67 return checkbits.f64; 68 else 69 return -checkbits.f64; 70 } 71 72 73 /* compute the next heigher or lower value */ 74 75 if(((x>0.0) ^ (dy>x)) == 0) 76 { 77 checkbits.u64++; 78 } 79 else 80 { 81 checkbits.u64--; 82 } 83 84 /* check if the result is nan or inf */ 85 if(((checkbits.u64 & ~SIGNBIT_DP64) >= EXPBITS_DP64 )) 86 { 87 return __amd_handle_error("nexttoward", __amd_nexttoward, checkbits.u64 | QNAN_MASK_64, _DOMAIN, AMD_F_NONE, EDOM, x, 0.0, 1); 88 } 89 90 return checkbits.f64; 91 } 92