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
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
|
/* Copyright (c) 2016 Holger Nahrstaedt */
/* See COPYING for license details. */
#include "templating.h"
#ifndef TYPE
#error TYPE must be defined here.
#else
#include "cwt.h"
#include "convolution.h"
#if defined _MSC_VER
#define restrict __restrict
#elif defined __GNUC__
#define restrict __restrict__
#endif
#define _USE_MATH_DEFINES
#include "math.h"
TYPE CAT(TYPE, _pow)(const TYPE x, const TYPE y)
{
if (sizeof(TYPE) == sizeof(double))
return pow(x,y);
else
return powf(x,y);
}
TYPE CAT(TYPE, _sqrt)(const TYPE x)
{
if (sizeof(TYPE) == sizeof(double))
return sqrt(x);
else
return sqrtf(x);
}
TYPE CAT(TYPE, _exp)(const TYPE x)
{
if (sizeof(TYPE) == sizeof(double))
return exp(x);
else
return expf(x);
}
TYPE CAT(TYPE, _cos)(const TYPE x)
{
if (sizeof(TYPE) == sizeof(double))
return cos(x);
else
return cosf(x);
}
TYPE CAT(TYPE, _sin)(const TYPE x)
{
if (sizeof(TYPE) == sizeof(double))
return sin(x);
else
return sinf(x);
}
TYPE CAT(TYPE, _pi)(void)
{
if (sizeof(TYPE) == sizeof(double))
return M_PI;
else
return (TYPE)M_PI;
}
void CAT(TYPE, _gaus)(const TYPE * const restrict input,
TYPE * const restrict output, const size_t N,
const size_t number){
size_t i = 0;
for (i = 0; i < N; i++)
{
switch (number) {
case 1:
output[i] = -2*input[i]*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 2:
output[i] = -2*(2*CAT(TYPE, _pow)(input[i], 2.0)-1)*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(3*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 3:
output[i] = -4*(-2*CAT(TYPE, _pow)(input[i], 3.0)+3*input[i])*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(15*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 4:
output[i] = 4*(-12*CAT(TYPE, _pow)(input[i], 2.0)+4*CAT(TYPE, _pow)(input[i], 4.0)+3)*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(105*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 5:
output[i] = 8*(-4*CAT(TYPE, _pow)(input[i], 5.0)+20*CAT(TYPE, _pow)(input[i], 3.0)-15*input[i])*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(105*9*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 6:
output[i] = -8*(8*CAT(TYPE, _pow)(input[i], 6.0)-60*CAT(TYPE, _pow)(input[i], 4.0)+90*CAT(TYPE, _pow)(input[i], 2.0)-15)*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(105*9*11*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 7:
output[i] = -16*(-8*CAT(TYPE, _pow)(input[i], 7.0)+84*CAT(TYPE, _pow)(input[i], 5.0)-210*CAT(TYPE, _pow)(input[i], 3.0)+105*(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(105*9*11*13*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 8:
output[i] = 16*(16*CAT(TYPE, _pow)(input[i], 8.0)-224*CAT(TYPE, _pow)(input[i], 6.0)+840*CAT(TYPE, _pow)(input[i], 4.0)-840*CAT(TYPE, _pow)(input[i], 2.0)+105)*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(105*9*11*13*15*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
}
}
}
void CAT(TYPE, _mexh)(const TYPE * const restrict input, TYPE * const restrict output, const size_t N)
{
size_t i = 0;
for (i = 0; i < N; i++)
{
output[i] = (1-CAT(TYPE, _pow)(input[i], 2.0))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0)/2)*2/(CAT(TYPE, _sqrt)(3)*CAT(TYPE, _sqrt)(CAT(TYPE, _sqrt)(CAT(TYPE, _pi)())));
}
}
void CAT(TYPE, _morl)(const TYPE * const restrict input, TYPE * const restrict output, const size_t N)
{
size_t i = 0;
for (i = 0; i < N; i++)
{
output[i] = CAT(TYPE, _cos)(5*input[i])*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0)/2);
}
}
void CAT(TYPE, _cgau)(const TYPE * const restrict input,
TYPE * const restrict output_r, TYPE * const restrict output_i, const size_t N,
const size_t number){
size_t i = 0;
for (i = 0; i < N; i++)
{
switch (number) {
case 1:
output_r[i] = (-2*input[i]*CAT(TYPE, _cos)(input[i])-CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(2*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (2*input[i]*CAT(TYPE, _sin)(input[i])-CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(2*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 2:
output_r[i] = (4*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])+4*input[i]*CAT(TYPE, _sin)(input[i])-3*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(10*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (-4*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])+4*input[i]*CAT(TYPE, _cos)(input[i])+3*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(10*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 3:
output_r[i] = (-8*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])-12*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])+18*input[i]*CAT(TYPE, _cos)(input[i])+7*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(76*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (8*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])-12*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])-18*input[i]*CAT(TYPE, _sin)(input[i])+7*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(76*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 4:
output_r[i] = (16*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _cos)(input[i])+32*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])-72*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])-56*input[i]*CAT(TYPE, _sin)(input[i])+25*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(764*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));;
output_i[i] = (-16*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _sin)(input[i])+32*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])+72*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])-56*input[i]*CAT(TYPE, _cos)(input[i])-25*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(764*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 5:
output_r[i] = (-32*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _cos)(input[i])-80*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _sin)(input[i])+240*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])+280*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])-250*input[i]*CAT(TYPE, _cos)(input[i])-81*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(9496*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (32*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _sin)(input[i])-80*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _cos)(input[i])-240*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])+280*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])+250*input[i]*CAT(TYPE, _sin)(input[i])-81*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(9496*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 6:
output_r[i] = (64*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _cos)(input[i])+192*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _sin)(input[i])-720*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _cos)(input[i])-1120*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])+1500*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])+972*input[i]*CAT(TYPE, _sin)(input[i])-331*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(140152*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (-64*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _sin)(input[i])+192*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _cos)(input[i])+720*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _sin)(input[i])-1120*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])-1500*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])+972*input[i]*CAT(TYPE, _cos)(input[i])+331*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(140152*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 7:
output_r[i] = (-128*CAT(TYPE, _pow)(input[i], 7.0)*CAT(TYPE, _cos)(input[i])-448*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _sin)(input[i])+2016*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _cos)(input[i])+3920*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _sin)(input[i])-7000*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])-6804*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])+4634*input[i]*CAT(TYPE, _cos)(input[i])+1303*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(2390480*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (128*CAT(TYPE, _pow)(input[i], 7.0)*CAT(TYPE, _sin)(input[i])-448*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _cos)(input[i])-2016*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _sin)(input[i])+3920*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _cos)(input[i])+7000*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])-6804*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])-4634*input[i]*CAT(TYPE, _sin)(input[i])+1303*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(2390480*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
case 8:
output_r[i] = (256*CAT(TYPE, _pow)(input[i], 8.0)*CAT(TYPE, _cos)(input[i])+1024*CAT(TYPE, _pow)(input[i], 7.0)*CAT(TYPE, _sin)(input[i])-5376*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _cos)(input[i])-12544*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _sin)(input[i])+28000*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _cos)(input[i])+36288*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _sin)(input[i])-37072*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _cos)(input[i])-20848*input[i]*CAT(TYPE, _sin)(input[i])+5937*CAT(TYPE, _cos)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(46206736*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
output_i[i] = (-256*CAT(TYPE, _pow)(input[i], 8.0)*CAT(TYPE, _sin)(input[i])+1024*CAT(TYPE, _pow)(input[i], 7.0)*CAT(TYPE, _cos)(input[i])+5376*CAT(TYPE, _pow)(input[i], 6.0)*CAT(TYPE, _sin)(input[i])-12544*CAT(TYPE, _pow)(input[i], 5.0)*CAT(TYPE, _cos)(input[i])-28000*CAT(TYPE, _pow)(input[i], 4.0)*CAT(TYPE, _sin)(input[i])+36288*CAT(TYPE, _pow)(input[i], 3.0)*CAT(TYPE, _cos)(input[i])+37072*CAT(TYPE, _pow)(input[i], 2.0)*CAT(TYPE, _sin)(input[i])-20848*input[i]*CAT(TYPE, _cos)(input[i])-5937*CAT(TYPE, _sin)(input[i]))*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0))/CAT(TYPE, _sqrt)(46206736*CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()/2));
break;
}
}
}
void CAT(TYPE, _shan)(const TYPE * const restrict input, TYPE * const restrict output_r, TYPE * const restrict output_i, const size_t N,
const TYPE FB, const TYPE FC)
{
size_t i = 0;
for (i = 0; i < N; i++)
{
output_r[i] =CAT(TYPE, _cos)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB);
output_i[i] = CAT(TYPE, _sin)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB);
if (input[i] != 0)
{
output_r[i] *= CAT(TYPE, _sin)(input[i]*FB*CAT(TYPE, _pi)())/(input[i]*FB*CAT(TYPE, _pi)());
output_i[i] *= CAT(TYPE, _sin)(input[i]*FB*CAT(TYPE, _pi)())/(input[i]*FB*CAT(TYPE, _pi)());
}
}
}
void CAT(TYPE, _fbsp)(const TYPE * const restrict input, TYPE * const restrict output_r, TYPE * const restrict output_i, const size_t N,
const unsigned int M, const TYPE FB, const TYPE FC)
{
size_t i = 0;
for (i = 0; i < N; i++)
{
if (input[i] != 0)
{
output_r[i] = CAT(TYPE, _cos)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB)*CAT(TYPE, _pow)(CAT(TYPE, _sin)(CAT(TYPE, _pi)()*input[i]*FB/(TYPE)M)/(CAT(TYPE, _pi)()*input[i]*FB/(TYPE)M),(TYPE)M);
output_i[i] = CAT(TYPE, _sin)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB)*CAT(TYPE, _pow)(CAT(TYPE, _sin)(CAT(TYPE, _pi)()*input[i]*FB/(TYPE)M)/(CAT(TYPE, _pi)()*input[i]*FB/(TYPE)M),(TYPE)M);
}
else
{
output_r[i] = CAT(TYPE, _cos)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB);
output_i[i] = CAT(TYPE, _sin)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _sqrt)(FB);
}
}
}
void CAT(TYPE, _cmor)(const TYPE * const restrict input, TYPE * const restrict output_r, TYPE * const restrict output_i, const size_t N,
const TYPE FB, const TYPE FC)
{
size_t i = 0;
for (i = 0; i < N; i++)
{
output_r[i] =CAT(TYPE, _cos)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0)/FB)/CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()*FB);
output_i[i] = CAT(TYPE, _sin)(2*CAT(TYPE, _pi)()*FC*input[i])*CAT(TYPE, _exp)(-CAT(TYPE, _pow)(input[i], 2.0)/FB)/CAT(TYPE, _sqrt)(CAT(TYPE, _pi)()*FB);
}
}
#endif /* TYPE */
#undef restrict
|
