summaryrefslogtreecommitdiffstats
path: root/src/tests/math_test.c
blob: fe61e29c1f01093a6a22209f5bff249da21fb5d3 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
/*
 * Copyright (C) 2014 Michael Brown <mbrown@fensystems.co.uk>.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License as
 * published by the Free Software Foundation; either version 2 of the
 * License, or any later version.
 *
 * This program is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
 * 02110-1301, USA.
 */

FILE_LICENCE ( GPL2_OR_LATER );

/** @file
 *
 * Mathematical self-tests
 *
 */

/* Forcibly enable assertions */
#undef NDEBUG

#include <string.h>
#include <strings.h>
#include <assert.h>
#include <ipxe/test.h>

/**
 * Force a call to the non-constant implementation of flsl()
 *
 * @v value		Value
 * @ret msb		Most significant bit set in value (LSB=1), or zero
 */
__attribute__ (( noinline )) int flsl_var ( long value ) {
	return flsl ( value );
}

/**
 * Force a use of runtime 64-bit unsigned integer division
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @ret quotient	Quotient
 */
__attribute__ (( noinline )) uint64_t u64div_var ( uint64_t dividend,
						   uint64_t divisor ) {
	return ( dividend / divisor );
}

/**
 * Force a use of runtime 64-bit unsigned integer modulus
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @ret remainder	Remainder
 */
__attribute__ (( noinline )) uint64_t u64mod_var ( uint64_t dividend,
						   uint64_t divisor ) {
	return ( dividend % divisor );
}

/**
 * Force a use of runtime 64-bit signed integer division
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @ret quotient	Quotient
 */
__attribute__ (( noinline )) int64_t s64div_var ( int64_t dividend,
						  int64_t divisor ) {
	return ( dividend / divisor );
}

/**
 * Force a use of runtime 64-bit unsigned integer modulus
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @ret remainder	Remainder
 */
__attribute__ (( noinline )) int64_t s64mod_var ( int64_t dividend,
						  int64_t divisor ) {
	return ( dividend % divisor );
}

/**
 * Report a flsl() test result
 *
 * @v value		Value
 * @v msb		Expected MSB
 * @v file		Test code file
 * @v line		Test code line
 */
static inline __attribute__ (( always_inline )) void
flsl_okx ( long value, int msb, const char *file, unsigned int line ) {

	/* Verify as a constant (requires to be inlined) */
	okx ( flsl ( value ) == msb, file, line );

	/* Verify as a non-constant */
	okx ( flsl_var ( value ) == msb, file, line );
}
#define flsl_ok( value, msb ) flsl_okx ( value, msb, __FILE__, __LINE__ )

/**
 * Report a 64-bit unsigned integer division test result
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @v quotient		Quotient
 * @v remainder		Remainder
 * @v file		Test code file
 * @v line		Test code line
 */
static void u64divmod_okx ( uint64_t dividend, uint64_t divisor,
			    uint64_t quotient, uint64_t remainder,
			    const char *file, unsigned int line ) {

	/* Sanity check */
	okx ( ( ( divisor * quotient ) + remainder ) == dividend, file, line );

	/* Check division */
	okx ( u64div_var ( dividend, divisor ) == quotient, file, line );

	/* Check modulus */
	okx ( u64mod_var ( dividend, divisor ) == remainder, file, line );
}
#define u64divmod_ok( dividend, divisor, quotient, remainder )	\
	u64divmod_okx ( dividend, divisor, quotient, remainder,	\
			__FILE__, __LINE__ )

/**
 * Report a 64-bit signed integer division test result
 *
 * @v dividend		Dividend
 * @v divisor		Divisor
 * @v quotient		Quotient
 * @v remainder		Remainder
 * @v file		Test code file
 * @v line		Test code line
 */
static void s64divmod_okx ( int64_t dividend, int64_t divisor,
			    int64_t quotient, int64_t remainder,
			    const char *file, unsigned int line ) {

	/* Sanity check */
	okx ( ( ( divisor * quotient ) + remainder ) == dividend, file, line );

	/* Check division */
	okx ( s64div_var ( dividend, divisor ) == quotient, file, line );

	/* Check modulus */
	okx ( s64mod_var ( dividend, divisor ) == remainder, file, line );
}
#define s64divmod_ok( dividend, divisor, quotient, remainder )	\
	s64divmod_okx ( dividend, divisor, quotient, remainder,	\
			__FILE__, __LINE__ )

/**
 * Perform mathematical self-tests
 *
 */
static void math_test_exec ( void ) {

	/* Test flsl() */
	flsl_ok ( 0, 0 );
	flsl_ok ( 1, 1 );
	flsl_ok ( 255, 8 );
	flsl_ok ( 256, 9 );
	flsl_ok ( 257, 9 );
	flsl_ok ( 0x69505845, 31 );
	flsl_ok ( -1U, ( 8 * sizeof ( int ) ) );
	flsl_ok ( -1UL, ( 8 * sizeof ( long ) ) );

	/* Test 64-bit arithmetic
	 *
	 * On a 64-bit machine, these tests are fairly meaningless.
	 *
	 * On a 32-bit machine, these tests verify the correct
	 * operation of our libgcc functions __udivmoddi4()
	 * etc. (including checking that the implicit calling
	 * convention assumed by gcc matches our expectations).
	 */
	u64divmod_ok ( 0x2b90ddccf699f765ULL, 0xed9f5e73ULL,
		       0x2eef6ab4ULL, 0x0e12f089ULL );
	s64divmod_ok ( 0x2b90ddccf699f765ULL, 0xed9f5e73ULL,
		       0x2eef6ab4ULL, 0x0e12f089ULL );
	u64divmod_ok ( 0xc09e00dcb9e34b54ULL, 0x35968185cdc744f3ULL,
		       3, 0x1fda7c4b508d7c7bULL );
	s64divmod_ok ( -0x3f61ff23461cb4acLL, 0x35968185cdc744f3ULL,
		       -1LL, -0x9cb7d9d78556fb9LL );
	u64divmod_ok ( 0, 0x5b2f2737f4ffULL, 0, 0 );
	s64divmod_ok ( 0, 0xbb00ded72766207fULL, 0, 0 );
}

/** Mathematical self-tests */
struct self_test math_test __self_test = {
	.name = "math",
	.exec = math_test_exec,
};