2 * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.org>
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
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9 * notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
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12 * documentation and/or other materials provided with the distribution.
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19 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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28 * Test for remainder functions: remainder, remainderf, remainderl,
29 * remquo, remquof, and remquol.
30 * Missing tests: fmod, fmodf.
33 #include <sys/cdefs.h>
34 __FBSDID("$FreeBSD$");
43 static void test_invalid(long double, long double);
44 static void testl(long double, long double, long double, int);
45 static void testd(double, double, double, int);
46 static void testf(float, float, float, int);
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); \
55 main(int argc
, char *argv
[])
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
);
70 testd(0x1p
-1074, 1, 0x1p
-1074, 0x1p
-1074);
71 testf(0x1p
-149, 1, 0x1p
-149, 0x1p
-149);
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);
82 printf("ok 1 - rem\n");
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.
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);
97 printf("ok 2 - rem\n");
103 test_invalid(long double x
, long double y
)
109 assert(isnan(remainder(x
, y
)));
110 assert(isnan(remquo(x
, y
, &q
)));
112 assert(q
== 0xdeadbeef);
115 assert(isnan(remainderf(x
, y
)));
116 assert(isnan(remquof(x
, y
, &q
)));
118 assert(q
== 0xdeadbeef);
121 assert(isnan(remainderl(x
, y
)));
122 assert(isnan(remquol(x
, y
, &q
)));
124 assert(q
== 0xdeadbeef);
128 /* 0x012345 ==> 0x01ffff */
132 return ((unsigned)~0 >> (32 - fls(x
)));
136 testl(long double x
, long double y
, long double expected_rem
, int expected_quo
)
141 assert(remainderl(x
, y
) == expected_rem
);
142 assert(remquol(x
, y
, &q
) == expected_rem
);
143 assert((q
& 0x7) == (expected_quo
& 0x7));
145 assert((q
> 0) ^ !(expected_quo
> 0));
147 assert(q
== (abs(expected_quo
) & mask(q
)));
152 testd(double x
, double y
, double expected_rem
, int expected_quo
)
157 assert(remainder(x
, y
) == expected_rem
);
158 assert(remquo(x
, y
, &q
) == expected_rem
);
159 assert((q
& 0x7) == (expected_quo
& 0x7));
161 assert((q
> 0) ^ !(expected_quo
> 0));
163 assert(q
== (abs(expected_quo
) & mask(q
)));
168 testf(float x
, float y
, float expected_rem
, int expected_quo
)
173 assert(remainderf(x
, y
) == expected_rem
);
174 assert(remquof(x
, y
, &q
) == expected_rem
);
175 assert((q
& 0x7) == (expected_quo
& 0x7));
177 assert((q
> 0) ^ !(expected_quo
> 0));
179 assert((q
& mask(q
)) == (abs(expected_quo
) & mask(q
)));