File: window.c

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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);
    }
}