/*- * Copyright (c) 2005-2008 David Schultz * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. */ /* * Test for remainder functions: remainder, remainderf, remainderl, * remquo, remquof, and remquol. * Missing tests: fmod, fmodf. */ #include #include #include #include #include #include "test-utils.h" static void test_invalid(long double, long double); static void testl(long double, long double, long double, int); static void testd(double, double, double, int); static void testf(float, float, float, int); #define test(x, y, e_r, e_q) do { \ testl(x, y, e_r, e_q); \ testd(x, y, e_r, e_q); \ testf(x, y, e_r, e_q); \ } while (0) ATF_TC_WITHOUT_HEAD(rem1); ATF_TC_BODY(rem1, tc) { test_invalid(0.0, 0.0); test_invalid(1.0, 0.0); test_invalid(INFINITY, 0.0); test_invalid(INFINITY, 1.0); test_invalid(-INFINITY, 1.0); test_invalid(NAN, 1.0); test_invalid(1.0, NAN); test(4, 4, 0, 1); test(0, 3.0, 0, 0); testd(0x1p-1074, 1, 0x1p-1074, 0); testf(0x1p-149, 1, 0x1p-149, 0); test(3.0, 4, -1, 1); test(3.0, -4, -1, -1); testd(275 * 1193040, 275, 0, 1193040); test(4.5 * 7.5, 4.5, -2.25, 8); /* we should get the even one */ testf(0x1.9044f6p-1, 0x1.ce662ep-1, -0x1.f109cp-4, 1); #if LDBL_MANT_DIG > 53 testl(-0x1.23456789abcdefp-2000L, 0x1.fedcba987654321p-2000L, 0x1.b72ea61d950c862p-2001L, -1); #endif } ATF_TC_WITHOUT_HEAD(rem2); ATF_TC_BODY(rem2, tc) { /* * The actual quotient here is 864062210.50000003..., but * double-precision division gets -8.64062210.5, which rounds * the wrong way. This test ensures that remquo() is smart * enough to get the low-order bit right. */ testd(-0x1.98260f22fc6dep-302, 0x1.fb3167c430a13p-332, 0x1.fb3165b82de72p-333, -864062211); /* Even harder cases with greater exponent separation */ test(0x1.fp100, 0x1.ep-40, -0x1.cp-41, 143165577); testd(-0x1.abcdefp120, 0x1.87654321p-120, -0x1.69c78ec4p-121, -63816414); } ATF_TC_WITHOUT_HEAD(rem3); ATF_TC_BODY(rem3, tc) { test(0x1.66666cp+120, 0x1p+71, 0.0, 1476395008); testd(-0x1.0000000000003p+0, 0x1.0000000000003p+0, -0.0, -1); testl(-0x1.0000000000003p+0, 0x1.0000000000003p+0, -0.0, -1); testd(-0x1.0000000000001p-749, 0x1.4p-1072, 0x1p-1074, -1288490189); testl(-0x1.0000000000001p-749, 0x1.4p-1072, 0x1p-1074, -1288490189); } static void test_invalid(long double x, long double y) { int q; q = 0xdeadbeef; ATF_CHECK(isnan(remainder(x, y))); ATF_CHECK(isnan(remquo(x, y, &q))); #ifdef STRICT ATF_CHECK(q == 0xdeadbeef); #endif ATF_CHECK(isnan(remainderf(x, y))); ATF_CHECK(isnan(remquof(x, y, &q))); #ifdef STRICT ATF_CHECK(q == 0xdeadbeef); #endif ATF_CHECK(isnan(remainderl(x, y))); ATF_CHECK(isnan(remquol(x, y, &q))); #ifdef STRICT ATF_CHECK(q == 0xdeadbeef); #endif } /* 0x012345 ==> 0x01ffff */ static inline int mask(int x) { return ((unsigned)~0 >> (32 - fls(x))); } static void testl(long double x, long double y, long double expected_rem, int expected_quo) { int q; long double rem; q = random(); rem = remainderl(x, y); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); rem = remquol(x, y, &q); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */ ATF_CHECK((q & 0x7) == (expected_quo & 0x7)); if (q != 0) { ATF_CHECK((q > 0) ^ !(expected_quo > 0)); q = abs(q); ATF_CHECK(q == (abs(expected_quo) & mask(q))); } } static void testd(double x, double y, double expected_rem, int expected_quo) { int q; double rem; q = random(); rem = remainder(x, y); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); rem = remquo(x, y, &q); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */ ATF_CHECK((q & 0x7) == (expected_quo & 0x7)); if (q != 0) { ATF_CHECK((q > 0) ^ !(expected_quo > 0)); q = abs(q); ATF_CHECK(q == (abs(expected_quo) & mask(q))); } } static void testf(float x, float y, float expected_rem, int expected_quo) { int q; float rem; q = random(); rem = remainderf(x, y); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); rem = remquof(x, y, &q); ATF_CHECK(rem == expected_rem); ATF_CHECK(!signbit(rem) == !signbit(expected_rem)); ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */ ATF_CHECK((q & 0x7) == (expected_quo & 0x7)); if (q != 0) { ATF_CHECK((q > 0) ^ !(expected_quo > 0)); q = abs(q); ATF_CHECK((q & mask(q)) == (abs(expected_quo) & mask(q))); } } ATF_TP_ADD_TCS(tp) { ATF_TP_ADD_TC(tp, rem1); ATF_TP_ADD_TC(tp, rem2); ATF_TP_ADD_TC(tp, rem3); return (atf_no_error()); }