-
Notifications
You must be signed in to change notification settings - Fork 0
/
test_fix32.c
203 lines (178 loc) · 5.86 KB
/
test_fix32.c
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
#include "fix32.h"
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define FIX32_DEC_AS_INT(x) (((uint64_t)x) * 100000) >> 16
const fix32_t MINUS_TWO = (fix32_t){.i=-2, .f=0};
const fix32_t MINUS_ONE = (fix32_t){.i=-1, .f=0};
const fix32_t ONE_EIGHTH = (fix32_t){.i=0, .f=0x2000};
const fix32_t TWO_EIGHTHS = (fix32_t){.i=0, .f=0x4000};
const fix32_t HALF = (fix32_t){.i=0, .f=0x8000};
const fix32_t THREE_QUARTERS = (fix32_t){.i=0, .f=0xC000};
const fix32_t ZERO = (fix32_t){.i=0, .f=0};
const fix32_t ONE = (fix32_t){.i=1, .f=0};
const fix32_t TWO = (fix32_t){.i=2, .f=0};
const fix32_t THREE = (fix32_t){.i=3, .f=0};
const fix32_t FOUR = (fix32_t){.i=4, .f=0};
const fix32_t FIVE = (fix32_t){.i=5, .f=0};
void assert_very_close_fp(float got, float expected) {
float delta = got - expected;
if(delta > 0.00001f) {
printf("Expected ~%f but got %f (delta %f)\n", got, expected, delta);
fflush(stdout);
assert(false);
}
}
void assert_very_close(fix32_t got, fix32_t expected) {
fix32_t epsilon = (fix32_t){.i=0, .f=1};
fix32_t delta = fix32_abs(fix32_sub(got, expected));
if (fix32_gt(delta, epsilon)) {
char num_a[10] = {0};
char num_b[10] = {0};
char num_d[10] = {0};
print_fix32(got, num_a);
print_fix32(expected, num_b);
print_fix32(delta, num_d);
printf("Expected ~%s but got %s (delta %s)\n", num_b, num_a, num_d);
fflush(stdout);
assert(fix32_equals(got, expected));
}
}
void assert_eq(fix32_t got, fix32_t expected) {
if (!fix32_equals(got, expected)) {
char num_a[10] = {0};
char num_b[10] = {0};
print_fix32(got, num_a);
print_fix32(expected, num_b);
printf("Expected %s but got %s\n", num_b, num_a);
fflush(stdout);
assert(fix32_equals(got, expected));
}
}
void test_invert_sign() {
assert_eq(fix32_invert_sign(fix32_from_float(0.25f)), fix32_from_float(-0.25f));
assert_eq(fix32_invert_sign(MINUS_ONE), ONE);
assert_eq(fix32_invert_sign(ONE), MINUS_ONE);
assert_eq(fix32_invert_sign(fix32_from_float(1.5f)), (fix32_t){.i=-2, .f=0x8000});
printf("invert sign ok\n");
}
void test_abs() {
assert_eq(fix32_abs(fix32_sub(ZERO, TWO_EIGHTHS)), fix32_from_float(0.25f));
printf("ABS ok\n");
}
void test_sub() {
assert_eq(fix32_sub(ZERO, ONE), MINUS_ONE);
assert_eq(fix32_sub(ZERO, TWO_EIGHTHS), fix32_from_float(-0.25f));
printf("SUB ok\n");
}
void test_mul() {
assert_eq(fix32_mul(TWO, TWO), FOUR);
assert_eq(fix32_mul((fix32_t){.i=2, .f=0x8000}, TWO), FIVE);
assert_eq(fix32_mul(TWO, MINUS_ONE), MINUS_TWO);
assert_eq(fix32_mul(MINUS_ONE, MINUS_ONE), ONE);
assert_eq(fix32_mul(fix32_from_float(-4.f), MINUS_ONE), FOUR);
assert_eq(fix32_mul(MINUS_ONE, fix32_from_float(-4.f)), FOUR);
assert_eq(fix32_mul(fix32_invert_sign(TWO_EIGHTHS), fix32_from_float(-4.f)), ONE);
printf("MUL ok\n");
}
void test_sqrt() {
assert_eq(fix32_sqrt((fix32_t){.i=4, .f=0}), TWO);
assert_eq(fix32_sqrt((fix32_t){.i=9, .f=0}), THREE);
assert_eq(fix32_sqrt((fix32_t){.i=16, .f=0}), FOUR);
printf("SQRT ok\n");
}
void test_cos_matches_fpcos() {
int32_t max = 0, min = 0;
for(uint16_t i = 0; i < UINT16_MAX; ++i) {
int32_t fp_cos = lround(4096*cosf(2*M_PI * i / UINT16_MAX));
fix32_t _fixed_cos = fix32_cos(fix32_from_float(-1.f*i / UINT16_MAX));
int16_t fixed_cos = fix32_to_int32(fix32_mul((fix32_t){.i=4096, .f=0}, _fixed_cos));
int32_t err = fp_cos - fixed_cos;
if(err > max)
max = err;
if(err < min)
min = err;
}
// output is scaled up to (-4096..4096)
// an error of 7/8192 is 0.085%
assert(min > -6);
assert(max < 7);
printf("COS-FPCOS ok\n");
}
void test_cos() {
assert_eq(fix32_cos(ZERO ), ONE);
assert_very_close(fix32_cos(ONE_EIGHTH ), (fix32_t){.i=0, .f=0xb532});
assert_eq(fix32_cos(TWO_EIGHTHS ), ZERO);
assert_eq(fix32_cos(HALF ), MINUS_ONE);
assert_eq(fix32_cos(THREE_QUARTERS), ZERO);
assert_eq(fix32_cos(ONE), ONE);
printf("COS ok\n");
}
void test_mod() {
assert_eq(fix32_mod(ZERO, ZERO), ZERO);
assert_eq(fix32_mod(ZERO, ONE), ZERO);
assert_eq(fix32_mod(ZERO, TWO), ZERO);
assert_eq(fix32_mod(ONE, ZERO), ONE);
assert_eq(fix32_mod(TWO, ZERO), TWO);
assert_eq(fix32_mod(TWO, ONE), ZERO);
assert_eq(fix32_mod(ONE, THREE_QUARTERS), TWO_EIGHTHS);
printf("MOD ok\n");
}
void test_sin() {
assert_eq(fix32_sin(ZERO ), ZERO);
assert_very_close(fix32_sin(ONE_EIGHTH ), fix32_invert_sign((fix32_t){.i=0, .f=0xb534}));
assert_eq(fix32_sin(TWO_EIGHTHS ), MINUS_ONE);
assert_eq(fix32_sin(HALF ), ZERO);
assert_eq(fix32_sin(THREE_QUARTERS), ONE);
assert_eq(fix32_sin(ONE), ZERO);
printf("SIN ok\n");
}
void test_cmp() {
assert(fix32_lt(ZERO, ONE));
assert(!fix32_lt(ONE, ZERO));
assert(!fix32_lt(ONE, ONE));
assert(!fix32_gt(ZERO, ONE));
assert(fix32_gt(ONE, ZERO));
assert(!fix32_gt(ONE, ONE));
assert(fix32_leq(ZERO, ONE));
assert(!fix32_leq(ONE, ZERO));
assert(fix32_leq(ONE, ONE));
assert(!fix32_geq(ZERO, ONE));
assert(fix32_geq(ONE, ZERO));
assert(fix32_geq(ONE, ONE));
printf("CMP ok\n");
}
void test_float() {
assert_very_close_fp(5.0f, 5.0f);
assert_very_close_fp(5.0f, fix32_to_float(fix32_from_float(5.0f)));
assert_very_close_fp(5.1f, fix32_to_float(fix32_from_float(5.1f)));
assert_very_close_fp(5.5f, fix32_to_float(fix32_from_float(5.5f)));
assert_very_close_fp(-2.0f, fix32_to_float(fix32_from_float(-2.0f)));
assert_very_close_fp(-2.3f, fix32_to_float(fix32_from_float(-2.3f)));
printf("FLOAT ok\n");
}
void test_ceil() {
assert_eq(fix32_ceil(ZERO), ZERO);
assert_eq(fix32_ceil(ONE), ONE);
assert_eq(fix32_ceil(ONE), ONE);
assert_eq(fix32_ceil(ONE_EIGHTH), ONE);
assert_eq(fix32_ceil(TWO_EIGHTHS), ONE);
assert_eq(fix32_ceil(HALF), ONE);
assert_eq(fix32_ceil(THREE_QUARTERS), ONE);
printf("ceil OK\n");
}
int main() {
test_invert_sign();
test_ceil();
test_cmp();
test_mod();
test_abs();
test_sub();
test_mul();
test_sqrt();
test_cos_matches_fpcos();
test_cos();
test_sin();
test_float();
}