-
Notifications
You must be signed in to change notification settings - Fork 0
/
cordic-test-sinhcosh-all.c
141 lines (135 loc) · 5.74 KB
/
cordic-test-sinhcosh-all.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
// all possible input [0, 2^32-1] q3.23
#include <stdio.h>
#include "cordic_verilog.h"
#include <math.h> // for testing only!
#include "cordic_error.h"
#include <time.h>
#include <stdlib.h>
int float_to_q131(double src)
{
return (int)(src*MUL131);
}
double q131_to_float(int src)
{
return src/MUL131;
}
int main(int argc, char **argv)
{
// variable setup
double arg1,arg2;
int targ1,targ2;
double error1, error2;
int cosh_sign_error=0, sinh_sign_error=0;
int i;
int seed = 1649407564;
srand(seed);
error_stats error_stat_cosh[9] = {0};
error_stats error_stat_sinh[9] = {0};
for (i = 0; i < 9; i++)
{
error_stat_cosh[i].min_error = 100;
error_stat_sinh[i].min_error = 100;
}
// positive arg1
for(i=0;i<=0x478d4fdf;i+=(1<<6)) // 0x478d4fdf=q1.31 0.559
{
arg1 = q131_to_float(i); // arg1=x/2, x= arg1*2, range=[-0.559, 0.559]
for (POINT_POS=23, BIT=26; POINT_POS <= 23; POINT_POS++, BIT++)
{
MUL=1<<POINT_POS;
targ1 = arg1*MUL131;
cordic(&targ1, &targ2, -1, 1, 1, 0); // targ1 = res1 = cosh(x)/2 = cosh(arg1*2)/2, targ2 = res2 = sinh(x)/2 = sinh(arg1*2)/2
int j;
for (j=0; (i+j)<=0x478d4fdf&&j<(1<<6); j++) // change the last 6 bits and input to the floating point algorithm.
{
int inputs[2] ={i, 1};
arg1=q131_to_float(i+j);
error1 = targ1/MUL131-cosh(arg1*2)/2;
error2 = targ2/MUL131-sinh(arg1*2)/2;
inputs[0] = i+j;
inputs[1] = 1;
if ((((unsigned)targ1>>31)&&cosh(arg1*2)/2>=0)||!((unsigned)targ1>>31)&&cosh(arg1*2)/2<0)
{
printf("Sign error detected\n");
printf("expected result=%.20f, cordic result=%.20f\n", cosh(arg1*2)/2, targ1/MUL131);
printf("cordic result=%x\n", cosh(arg1*2)/2, targ1);
printf("arg1=%x, arg2=%x\n", i+j, 1);
printf("x=%f", q131_to_float(i+j));
cosh_sign_error++;
}
if ((((unsigned)targ2>>31)&&sinh(arg1*2)/2>=0)||!((unsigned)targ2>>31)&&sinh(arg1*2)/2<0)
{
printf("Sign error detected\n");
printf("expected result=%.20f, cordic result=%.20f\n", sinh(arg1*2)/2, targ2/MUL131);
printf("cordic result=%x\n", sinh(arg1*2)/2, targ1);
printf("arg1=%x, arg2=%x\n", i+j, 1);
printf("x=%f", q131_to_float(i+j));
sinh_sign_error++;
}
update_error_stat(&error_stat_cosh[POINT_POS-21], error1, inputs, targ1);
update_error_stat(&error_stat_sinh[POINT_POS-21], error2, inputs, targ2);
}
}
printf("\rtested case=%.20f", q131_to_float(i));
}
// negative arg1
for (i=0xb872b000; i<0; i+=(1<<6)) // 0xb872b000 = q1.31 -0.559
{
arg1 = q131_to_float(i); // arg1=x/2, x= arg1*2, range=[-0.559, 0.559]
for (POINT_POS=23, BIT=26; POINT_POS <= 23; POINT_POS++, BIT++)
{
MUL=1<<POINT_POS;
targ1 = arg1*MUL131;
cordic(&targ1, &targ2, -1, 1, 1, 0); // targ1 = res1 = cosh(x)/2 = cosh(arg1*2)/2, targ2 = res2 = sinh(x)/2 = sinh(arg1*2)/2
int j;
for (j=0x03f; (i+j)>=0xb872b021&&j>=0; j--) // change the last 6 bits and input to the floating point algorithm.
{
int inputs[2] ={i, 1};
arg1=q131_to_float(i+j);
error1 = targ1/MUL131-cosh(arg1*2)/2;
error2 = targ2/MUL131-sinh(arg1*2)/2;
inputs[0] = i+j;
inputs[1] = 1;
if ((((unsigned)targ1>>31)&&cosh(arg1*2)/2>=0)||!((unsigned)targ1>>31)&&cosh(arg1*2)/2<0)
{
printf("Sign error detected\n");
printf("expected result=%.20f, cordic result=%.20f\n", cosh(arg1*2)/2, targ1/MUL131);
printf("cordic result=%x\n", cosh(arg1*2)/2, targ1);
printf("arg1=%x, arg2=%x\n", i+j, 1);
printf("x=%f", q131_to_float(i+j));
cosh_sign_error++;
}
if ((((unsigned)targ2>>31)&&sinh(arg1*2)/2>=0)||!((unsigned)targ2>>31)&&sinh(arg1*2)/2<0)
{
printf("Sign error detected\n");
printf("expected result=%.20f, cordic result=%.20f\n", sinh(arg1*2)/2, targ2/MUL131);
printf("cordic result=%x\n", sinh(arg1*2)/2, targ1);
printf("arg1=%x, arg2=%x\n", i+j, 1);
printf("x=%f", q131_to_float(i+j));
sinh_sign_error++;
}
update_error_stat(&error_stat_cosh[POINT_POS-21], error1, inputs, targ1);
update_error_stat(&error_stat_sinh[POINT_POS-21], error2, inputs, targ2);
}
}
printf("\rtested case=%.20f", q131_to_float(i));
}
printf("\nStore the data into: ./error_analysis/sinhcosh_error_analysis.txt\n");
if (!freopen("./error_analysis/sinhcosh_error_analysis.txt", "w", stdout))
{
perror("Unable to open file.\n");
return -1;
}
for (i = 2; i < 3; i++)
{
printf("----------------------------------\n");
printf("%d bit %d iteration q3.%d:\n", 24+i, ITERATION, 21+i);
printf("error_stat_cosh:\n");
printf("cosh_sign_error=%d\n", cosh_sign_error);
print_error_information(&error_stat_cosh[i]);
printf("error_stat_sinh:\n");
printf("sinh_sign_error=%d\n", sinh_sign_error);
print_error_information(&error_stat_sinh[i]);
}
printf("seed=%d\n", seed);
}