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#include <ctype.h>
#include <math.h>
#include "bessel.h"
#include "memory.h"
#include "window.h"
#define PI (3.14159265358979323846)
#define TWO_PI (2*PI)
float fsquare(float a)
{
return a * a;
}
#define GENERATE_WINDOW_AT(name,body) \
float \
name##_window_at ( float angle ) \
{ \
body ; \
}
#define GENERATE_WINDOW_AT_BETA(name,body) \
float \
name##_window_at ( float angle , float beta ) \
{ \
body ; \
}
#define APPLY_SCALAR \
data[i] *= scalar ; \
data[j] *= scalar ;
#define GENERATE_APPLY_WINDOW(name,setup) \
void \
apply_##name##_window ( float * data , int n ) \
{ \
setup { \
float scalar = name##_window_at ( angle ) ; \
APPLY_SCALAR \
} \
}
#define GENERATE_APPLY_WINDOW_BETA(name,setup) \
void \
apply_##name##_window ( float * data , int n , float beta ) \
{ \
setup { \
float scalar = name##_window_at ( angle , beta ) ; \
APPLY_SCALAR \
} \
}
#define GENERATE_APPLY_WINDOW_B(name,setup,body) \
void \
apply_##name##_window ( float * data , int n ) \
{ \
setup { \
body \
APPLY_SCALAR \
} \
}
#define GENERATE_APPLY_WINDOW_BETA_B(name,setup,body) \
void \
apply_##name##_window ( float * data , int n , float beta ) \
{ \
setup { \
body \
APPLY_SCALAR \
} \
}
#define GENERATE_MAKE_WINDOW(name) \
void \
make_##name##_window ( float * data , int n ) \
{ \
fmemset ( data , n , 1.0) ; \
apply_##name##_window ( data , n ) ; \
}
#define GENERATE_MAKE_WINDOW_BETA(name) \
void \
make_##name##_window ( float * data , int n , float beta ) \
{ \
fmemset ( data , n , 1.0 ) ; \
apply_##name##_window ( data , n , beta ) ; \
}
#define FREQ_BASE_SETUP \
int i , j ; \
float angle ; \
int midn = n >> 1 ; \
float freq = TWO_PI / (float)n ; \
for ( i = 0 , j = n - 1 , angle = 0.0 ; i <= midn ; i++ , j-- , angle += freq )
GENERATE_WINDOW_AT(rectangular, return 1.0;);
GENERATE_APPLY_WINDOW(rectangular, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(rectangular);
GENERATE_WINDOW_AT(hanning, return 0.5 - 0.5 * cosf(angle););
GENERATE_APPLY_WINDOW(hanning, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(hanning);
GENERATE_WINDOW_AT(hamming, return 0.54 - 0.46 * cosf(angle););
GENERATE_APPLY_WINDOW(hamming, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(hamming);
GENERATE_WINDOW_AT(blackman2,
float c = cosf(angle);
return 0.34401 + (c * (-0.49755 + (c * 0.15844))););
GENERATE_APPLY_WINDOW(blackman2, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(blackman2);
GENERATE_WINDOW_AT(blackman3,
float c = cosf(angle);
return 0.21747 +
(c * (-0.45325 + (c * (0.28256 - (c * 0.04672))))););
GENERATE_APPLY_WINDOW(blackman3, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(blackman3);
GENERATE_WINDOW_AT(blackman4,
float c = cosf(angle);
return 0.084037 +
(c *
(-0.29145 +
(c *
(0.375696 + (c * (-0.20762 + (c * 0.041194))))))););
GENERATE_APPLY_WINDOW(blackman4, FREQ_BASE_SETUP);
GENERATE_MAKE_WINDOW(blackman4);
#define RATE_BASE_SETUP \
int i , j ; \
float angle ; \
int midn = n >> 1 ; \
float rate = 1.0 / (float)midn ; \
for ( i = 0 , j = n - 1 , angle = 1.0 ; i <= midn ; i++ , j-- , angle -= rate )
GENERATE_WINDOW_AT(bartlett, return angle;);
GENERATE_APPLY_WINDOW(bartlett, RATE_BASE_SETUP);
GENERATE_MAKE_WINDOW(bartlett);
GENERATE_WINDOW_AT_BETA(kaiser,
float I0beta = bessi0(beta);
return bessi0(beta * sqrt(1.0 - fsquare(angle))) /
I0beta;);
GENERATE_APPLY_WINDOW_BETA(kaiser, RATE_BASE_SETUP);
GENERATE_MAKE_WINDOW_BETA(kaiser);
GENERATE_WINDOW_AT_BETA(cauchy,
return 1.0 / (1.0 + fsquare(beta * angle)););
GENERATE_APPLY_WINDOW_BETA(cauchy, RATE_BASE_SETUP);
GENERATE_MAKE_WINDOW_BETA(cauchy);
GENERATE_WINDOW_AT_BETA(poisson, return exp((-beta) * angle););
GENERATE_APPLY_WINDOW_BETA(poisson, RATE_BASE_SETUP);
GENERATE_MAKE_WINDOW_BETA(poisson);
GENERATE_WINDOW_AT_BETA(gaussian,
return exp(-0.5 * fsquare(beta * angle)););
GENERATE_APPLY_WINDOW_BETA(gaussian, RATE_BASE_SETUP);
GENERATE_MAKE_WINDOW_BETA(gaussian);
#define MID_BASE_SETUP \
int i , j ; \
int midn = n >> 1 ; \
int midp1 = ( n + 1 ) / 2 ; \
int midm1 = ( n - 1 ) / 2 ; \
for ( i = 0 , j = n - 1 ; i <= midn ; i++ , j-- )
GENERATE_APPLY_WINDOW_B(welch,
MID_BASE_SETUP,
float scalar =
1.0 - fsquare((float)(i - midm1) / (float)midp1););
GENERATE_MAKE_WINDOW(welch);
GENERATE_APPLY_WINDOW_B(parzen,
MID_BASE_SETUP,
float scalar =
1.0 - fabs((float) (i - midm1) / (float) midp1););
GENERATE_MAKE_WINDOW(parzen);
#define COUNTER_BASE_SETUP \
int i , j ; \
int midn = n >> 1 ; \
for ( i = 0 , j = n - 1 ; i <= midn ; i++ , j-- )
GENERATE_APPLY_WINDOW_B(riemann,
float sr = TWO_PI / (float) n;
COUNTER_BASE_SETUP,
float scalar =
(i ==
midn) ? 1.0 : sinf(sr * (midn -
i)) / (sr * (midn -
i)););
GENERATE_MAKE_WINDOW(riemann);
GENERATE_APPLY_WINDOW_B(exponential,
float expsum = 1.0;
float expn = log(2) / (float) ((n >> 1) + 1.0);
COUNTER_BASE_SETUP, float scalar = expsum - 1.0;
expsum *= expn;);
GENERATE_MAKE_WINDOW(exponential);
GENERATE_APPLY_WINDOW_BETA_B(tukey,
COUNTER_BASE_SETUP,
float c = midn * (1.0 - beta);
float scalar =
(i >=
c) ? 1.0 : 0.5 * (1.0 - cosf(PI * i / c)););
GENERATE_MAKE_WINDOW_BETA(tukey);
#define EOS(c) (c == '\0')
int streq_ci(const char *a, const char *b)
{
while (1) {
if (*a == '\0' && *b == '\0')
return 1;
if (toupper(*a++) != toupper(*b++))
return 0;
}
}
#define TEST_TYPE(name,intern) \
if ( streq_ci ( type , name ) ) { \
return intern ; \
}
int parse_window_type(const char *type)
{
TEST_TYPE("RECTANGULAR", RECTANGULAR_WINDOW);
TEST_TYPE("HANNING", HANNING_WINDOW);
TEST_TYPE("HAMMING", HAMMING_WINDOW);
TEST_TYPE("BLACKMAN2", BLACKMAN2_WINDOW);
TEST_TYPE("BLACKMAN3", BLACKMAN3_WINDOW);
TEST_TYPE("BLACKMAN4", BLACKMAN4_WINDOW);
TEST_TYPE("BARTLETT", BARTLETT_WINDOW);
TEST_TYPE("KAISER", KAISER_WINDOW);
TEST_TYPE("CAUCHY", CAUCHY_WINDOW);
TEST_TYPE("POISSON", POISSON_WINDOW);
TEST_TYPE("GAUSSIAN", GAUSSIAN_WINDOW);
TEST_TYPE("WELCH", WELCH_WINDOW);
TEST_TYPE("PARZEN", PARZEN_WINDOW);
TEST_TYPE("RIEMANN", RIEMANN_WINDOW);
TEST_TYPE("EXPONENTIAL", EXPONENTIAL_WINDOW);
TEST_TYPE("TUKEY", TUKEY_WINDOW);
return -1;
}
window_f_t *get_apply_window_f(enum WINDOW_TYPE type)
{
switch (type) {
case RECTANGULAR_WINDOW:
return apply_rectangular_window;
case HANNING_WINDOW:
return apply_hanning_window;
case HAMMING_WINDOW:
return apply_hamming_window;
case BLACKMAN2_WINDOW:
return apply_blackman2_window;
case BLACKMAN3_WINDOW:
return apply_blackman3_window;
case BLACKMAN4_WINDOW:
return apply_blackman4_window;
case BARTLETT_WINDOW:
return apply_bartlett_window;
case WELCH_WINDOW:
return apply_welch_window;
case PARZEN_WINDOW:
return apply_parzen_window;
case RIEMANN_WINDOW:
return apply_riemann_window;
case EXPONENTIAL_WINDOW:
return apply_exponential_window;
default:
return apply_rectangular_window;
}
}
beta_window_f_t *get_apply_beta_window_f(enum WINDOW_TYPE type)
{
switch (type) {
case KAISER_WINDOW:
return apply_kaiser_window;
case CAUCHY_WINDOW:
return apply_cauchy_window;
case POISSON_WINDOW:
return apply_poisson_window;
case GAUSSIAN_WINDOW:
return apply_gaussian_window;
case TUKEY_WINDOW:
return apply_tukey_window;
default:
return apply_kaiser_window;
}
}
void
apply_typed_window(enum WINDOW_TYPE type, float *data, int n, float beta)
{
switch (type) {
case RECTANGULAR_WINDOW:
apply_rectangular_window(data, n);
break;
case HANNING_WINDOW:
apply_hanning_window(data, n);
break;
case HAMMING_WINDOW:
apply_hamming_window(data, n);
break;
case BLACKMAN2_WINDOW:
apply_blackman2_window(data, n);
break;
case BLACKMAN3_WINDOW:
apply_blackman3_window(data, n);
break;
case BLACKMAN4_WINDOW:
apply_blackman4_window(data, n);
break;
case BARTLETT_WINDOW:
apply_bartlett_window(data, n);
break;
case KAISER_WINDOW:
apply_kaiser_window(data, n, beta);
break;
case CAUCHY_WINDOW:
apply_cauchy_window(data, n, beta);
break;
case POISSON_WINDOW:
apply_poisson_window(data, n, beta);
break;
case GAUSSIAN_WINDOW:
apply_gaussian_window(data, n, beta);
break;
case WELCH_WINDOW:
apply_welch_window(data, n);
break;
case PARZEN_WINDOW:
apply_parzen_window(data, n);
break;
case RIEMANN_WINDOW:
apply_riemann_window(data, n);
break;
case EXPONENTIAL_WINDOW:
apply_exponential_window(data, n);
break;
case TUKEY_WINDOW:
apply_tukey_window(data, n, beta);
break;
default:
fmemset(data, n, 1.0);
}
}
void
make_typed_window(enum WINDOW_TYPE type, float *data, int n, float beta)
{
switch (type) {
case RECTANGULAR_WINDOW:
make_rectangular_window(data, n);
break;
case HANNING_WINDOW:
make_hanning_window(data, n);
break;
case HAMMING_WINDOW:
make_hamming_window(data, n);
break;
case BLACKMAN2_WINDOW:
make_blackman2_window(data, n);
break;
case BLACKMAN3_WINDOW:
make_blackman3_window(data, n);
break;
case BLACKMAN4_WINDOW:
make_blackman4_window(data, n);
break;
case BARTLETT_WINDOW:
make_bartlett_window(data, n);
break;
case KAISER_WINDOW:
make_kaiser_window(data, n, beta);
break;
case CAUCHY_WINDOW:
make_cauchy_window(data, n, beta);
break;
case POISSON_WINDOW:
make_poisson_window(data, n, beta);
break;
case GAUSSIAN_WINDOW:
make_gaussian_window(data, n, beta);
break;
case WELCH_WINDOW:
make_welch_window(data, n);
break;
case PARZEN_WINDOW:
make_parzen_window(data, n);
break;
case RIEMANN_WINDOW:
make_riemann_window(data, n);
break;
case EXPONENTIAL_WINDOW:
make_exponential_window(data, n);
break;
case TUKEY_WINDOW:
make_tukey_window(data, n, beta);
break;
default:
fmemset(data, n, 1.0);
}
}
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