1/*- 2 * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.org> 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright 9 * notice, this list of conditions and the following disclaimer. 10 * 2. Redistributions in binary form must reproduce the above copyright 11 * notice, this list of conditions and the following disclaimer in the 12 * documentation and/or other materials provided with the distribution. 13 * 14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 15 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 16 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 17 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 18 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 19 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24 * SUCH DAMAGE. 25 */ 26 27/* 28 * Test for remainder functions: remainder, remainderf, remainderl, 29 * remquo, remquof, and remquol. 30 * Missing tests: fmod, fmodf. 31 */ 32 33#include <sys/cdefs.h> 34__FBSDID("$FreeBSD$"); 35 36#include <assert.h> 37#include <float.h> 38#include <math.h> 39#include <stdio.h> 40#include <stdlib.h> 41#include <strings.h> 42 43static void test_invalid(long double, long double); 44static void testl(long double, long double, long double, int); 45static void testd(double, double, double, int); 46static void testf(float, float, float, int); 47 48#define test(x, y, e_r, e_q) do { \ 49 testl(x, y, e_r, e_q); \ 50 testd(x, y, e_r, e_q); \ 51 testf(x, y, e_r, e_q); \ 52} while (0) 53 54int 55main(int argc, char *argv[]) 56{ 57 58 printf("1..2\n"); 59 60 test_invalid(0.0, 0.0); 61 test_invalid(1.0, 0.0); 62 test_invalid(INFINITY, 0.0); 63 test_invalid(INFINITY, 1.0); 64 test_invalid(-INFINITY, 1.0); 65 test_invalid(NAN, 1.0); 66 test_invalid(1.0, NAN); 67 68 test(4, 4, 0, 1); 69 test(0, 3.0, 0, 0); 70 testd(0x1p-1074, 1, 0x1p-1074, 0x1p-1074); 71 testf(0x1p-149, 1, 0x1p-149, 0x1p-149); 72 test(3.0, 4, -1, 1); 73 test(3.0, -4, -1, -1); 74 testd(275 * 1193040, 275, 0, 1193040); 75 test(4.5 * 7.5, 4.5, -2.25, 8); /* we should get the even one */ 76 testf(0x1.9044f6p-1, 0x1.ce662ep-1, -0x1.f109cp-4, 1); 77#if LDBL_MANT_DIG > 53 78 testl(-0x1.23456789abcdefp-2000L, 0x1.fedcba987654321p-2000L, 79 0x1.b72ea61d950c862p-2001L, -1); 80#endif 81 82 printf("ok 1 - rem\n"); 83 84 /* 85 * The actual quotient here is 864062210.50000003..., but 86 * double-precision division gets -8.64062210.5, which rounds 87 * the wrong way. This test ensures that remquo() is smart 88 * enough to get the low-order bit right. 89 */ 90 testd(-0x1.98260f22fc6dep-302, 0x1.fb3167c430a13p-332, 91 0x1.fb3165b82de72p-333, -864062211); 92 /* Even harder cases with greater exponent separation */ 93 test(0x1.fp100, 0x1.ep-40, -0x1.cp-41, 143165577); 94 testd(-0x1.abcdefp120, 0x1.87654321p-120, 95 -0x1.69c78ec4p-121, -63816414); 96 97 printf("ok 2 - rem\n"); 98 99 return (0); 100} 101 102static void 103test_invalid(long double x, long double y) 104{ 105 int q; 106 107 q = 0xdeadbeef; 108 109 assert(isnan(remainder(x, y))); 110 assert(isnan(remquo(x, y, &q))); 111#ifdef STRICT 112 assert(q == 0xdeadbeef); 113#endif 114 115 assert(isnan(remainderf(x, y))); 116 assert(isnan(remquof(x, y, &q))); 117#ifdef STRICT 118 assert(q == 0xdeadbeef); 119#endif 120 121 assert(isnan(remainderl(x, y))); 122 assert(isnan(remquol(x, y, &q))); 123#ifdef STRICT 124 assert(q == 0xdeadbeef); 125#endif 126} 127 128/* 0x012345 ==> 0x01ffff */ 129static inline int 130mask(int x) 131{ 132 return ((unsigned)~0 >> (32 - fls(x))); 133} 134 135static void 136testl(long double x, long double y, long double expected_rem, int expected_quo) 137{ 138 int q; 139 140 q = random(); 141 assert(remainderl(x, y) == expected_rem); 142 assert(remquol(x, y, &q) == expected_rem); 143 assert((q & 0x7) == (expected_quo & 0x7)); 144 if (q != 0) { 145 assert((q > 0) ^ !(expected_quo > 0)); 146 q = abs(q); 147 assert(q == (abs(expected_quo) & mask(q))); 148 } 149} 150 151static void 152testd(double x, double y, double expected_rem, int expected_quo) 153{ 154 int q; 155 156 q = random(); 157 assert(remainder(x, y) == expected_rem); 158 assert(remquo(x, y, &q) == expected_rem); 159 assert((q & 0x7) == (expected_quo & 0x7)); 160 if (q != 0) { 161 assert((q > 0) ^ !(expected_quo > 0)); 162 q = abs(q); 163 assert(q == (abs(expected_quo) & mask(q))); 164 } 165} 166 167static void 168testf(float x, float y, float expected_rem, int expected_quo) 169{ 170 int q; 171 172 q = random(); 173 assert(remainderf(x, y) == expected_rem); 174 assert(remquof(x, y, &q) == expected_rem); 175 assert((q & 0x7) == (expected_quo & 0x7)); 176 if (q != 0) { 177 assert((q > 0) ^ !(expected_quo > 0)); 178 q = abs(q); 179 assert((q & mask(q)) == (abs(expected_quo) & mask(q))); 180 } 181} 182