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-rw-r--r--bartlett~.c16
-rw-r--r--blackman~.c20
-rw-r--r--connes~.c15
-rw-r--r--cosine~.c20
-rw-r--r--examples/windowing.pd (renamed from windowing.pd)0
-rw-r--r--gaussian~.c24
-rw-r--r--hamming~.c20
-rw-r--r--hanning~.c20
-rw-r--r--i0.c409
-rw-r--r--kaiser~.c432
-rw-r--r--lanczos~.c25
-rw-r--r--mconf.h5
-rw-r--r--welch~.c15
-rw-r--r--windowFunctions.c136
-rw-r--r--windowFunctions.h30
15 files changed, 590 insertions, 597 deletions
diff --git a/bartlett~.c b/bartlett~.c
index 61d1127..b649b67 100644
--- a/bartlett~.c
+++ b/bartlett~.c
@@ -20,14 +20,26 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillBartlett(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(1 - fabs(x));
+ }
+}
+
static t_class *bartlett_class;
typedef struct _bartlett {
diff --git a/blackman~.c b/blackman~.c
index 1e48fcd..af4732f 100644
--- a/blackman~.c
+++ b/blackman~.c
@@ -20,14 +20,30 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _WIN32
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillBlackman(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(0.42 + (0.5 * cos(M_PI * x)) + (0.08 * cos (2 * M_PI * x)));
+ }
+}
+
static t_class *blackman_class;
typedef struct _blackman {
diff --git a/connes~.c b/connes~.c
index 5df68b0..5f5a017 100644
--- a/connes~.c
+++ b/connes~.c
@@ -20,14 +20,25 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillConnes(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)((1 - (x * x)) * (1 - (x * x)));
+ }
+}
+
static t_class *connes_class;
typedef struct _connes {
diff --git a/cosine~.c b/cosine~.c
index 76cdadf..fe92463 100644
--- a/cosine~.c
+++ b/cosine~.c
@@ -20,14 +20,30 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _WIN32
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillCosine(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)cos(M_PI * x / 2);
+ }
+}
+
static t_class *cosine_class;
typedef struct _cosine {
diff --git a/windowing.pd b/examples/windowing.pd
index 5254373..5254373 100644
--- a/windowing.pd
+++ b/examples/windowing.pd
diff --git a/gaussian~.c b/gaussian~.c
index 4716c8e..5ec3c47 100644
--- a/gaussian~.c
+++ b/gaussian~.c
@@ -20,15 +20,35 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFDELTA 0.5
#define DEFBLOCKSIZE 64
+/* MSW and OSX don't appear to have single-precision ANSI math */
+#if defined(_WIN32) || defined(__APPLE__)
+#define powf pow
+#endif
+
+void fillGaussian(float *vec, int n, float delta) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ if (delta == 0) {
+ delta = 1;
+ }
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(pow(2, (-1 * (x / delta) * (x / delta))));
+ }
+}
+
static t_class *gaussian_class;
typedef struct _gaussian {
diff --git a/hamming~.c b/hamming~.c
index c5c10e2..b0b0cdc 100644
--- a/hamming~.c
+++ b/hamming~.c
@@ -20,14 +20,30 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _WIN32
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillHamming(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(0.54 + 0.46 * cos(M_PI * x));
+ }
+}
+
static t_class *hamming_class;
typedef struct _hamming {
diff --git a/hanning~.c b/hanning~.c
index bf11a64..9ed5437 100644
--- a/hanning~.c
+++ b/hanning~.c
@@ -20,14 +20,30 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _WIN32
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillHanning(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(0.5 * (1 + cos(M_PI * x)));
+ }
+}
+
static t_class *hanning_class;
typedef struct _hanning {
diff --git a/i0.c b/i0.c
deleted file mode 100644
index b6a00f4..0000000
--- a/i0.c
+++ /dev/null
@@ -1,409 +0,0 @@
-/* i0.c
- *
- * Modified Bessel function of order zero
- *
- *
- *
- * SYNOPSIS:
- *
- * double x, y, i0();
- *
- * y = i0( x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns modified Bessel function of order zero of the
- * argument.
- *
- * The function is defined as i0(x) = j0( ix ).
- *
- * The range is partitioned into the two intervals [0,8] and
- * (8, infinity). Chebyshev polynomial expansions are employed
- * in each interval.
- *
- *
- *
- * ACCURACY:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * DEC 0,30 6000 8.2e-17 1.9e-17
- * IEEE 0,30 30000 5.8e-16 1.4e-16
- *
- */
- /* i0e.c
- *
- * Modified Bessel function of order zero,
- * exponentially scaled
- *
- *
- *
- * SYNOPSIS:
- *
- * double x, y, i0e();
- *
- * y = i0e( x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns exponentially scaled modified Bessel function
- * of order zero of the argument.
- *
- * The function is defined as i0e(x) = exp(-|x|) j0( ix ).
- *
- *
- *
- * ACCURACY:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 0,30 30000 5.4e-16 1.2e-16
- * See i0().
- *
- */
-
-/* i0.c */
-
-
-/*
-Cephes Math Library Release 2.8: June, 2000
-Copyright 1984, 1987, 2000 by Stephen L. Moshier
-*/
-
-#include <math.h>
-#include "mconf.h"
-
-/* Chebyshev coefficients for exp(-x) I0(x)
- * in the interval [0,8].
- *
- * lim(x->0){ exp(-x) I0(x) } = 1.
- */
-
-#ifdef UNK
-static double A[] =
-{
--4.41534164647933937950E-18,
- 3.33079451882223809783E-17,
--2.43127984654795469359E-16,
- 1.71539128555513303061E-15,
--1.16853328779934516808E-14,
- 7.67618549860493561688E-14,
--4.85644678311192946090E-13,
- 2.95505266312963983461E-12,
--1.72682629144155570723E-11,
- 9.67580903537323691224E-11,
--5.18979560163526290666E-10,
- 2.65982372468238665035E-9,
--1.30002500998624804212E-8,
- 6.04699502254191894932E-8,
--2.67079385394061173391E-7,
- 1.11738753912010371815E-6,
--4.41673835845875056359E-6,
- 1.64484480707288970893E-5,
--5.75419501008210370398E-5,
- 1.88502885095841655729E-4,
--5.76375574538582365885E-4,
- 1.63947561694133579842E-3,
--4.32430999505057594430E-3,
- 1.05464603945949983183E-2,
--2.37374148058994688156E-2,
- 4.93052842396707084878E-2,
--9.49010970480476444210E-2,
- 1.71620901522208775349E-1,
--3.04682672343198398683E-1,
- 6.76795274409476084995E-1
-};
-#endif
-
-#ifdef DEC
-static unsigned short A[] = {
-0121642,0162671,0004646,0103567,
-0022431,0115424,0135755,0026104,
-0123214,0023533,0110365,0156635,
-0023767,0033304,0117662,0172716,
-0124522,0100426,0012277,0157531,
-0025254,0155062,0054461,0030465,
-0126010,0131143,0013560,0153604,
-0026517,0170577,0006336,0114437,
-0127227,0162253,0152243,0052734,
-0027724,0142766,0061641,0160200,
-0130416,0123760,0116564,0125262,
-0031066,0144035,0021246,0054641,
-0131537,0053664,0060131,0102530,
-0032201,0155664,0165153,0020652,
-0132617,0061434,0074423,0176145,
-0033225,0174444,0136147,0122542,
-0133624,0031576,0056453,0020470,
-0034211,0175305,0172321,0041314,
-0134561,0054462,0147040,0165315,
-0035105,0124333,0120203,0162532,
-0135427,0013750,0174257,0055221,
-0035726,0161654,0050220,0100162,
-0136215,0131361,0000325,0041110,
-0036454,0145417,0117357,0017352,
-0136702,0072367,0104415,0133574,
-0037111,0172126,0072505,0014544,
-0137302,0055601,0120550,0033523,
-0037457,0136543,0136544,0043002,
-0137633,0177536,0001276,0066150,
-0040055,0041164,0100655,0010521
-};
-#endif
-
-#ifdef IBMPC
-static unsigned short A[] = {
-0xd0ef,0x2134,0x5cb7,0xbc54,
-0xa589,0x977d,0x3362,0x3c83,
-0xbbb4,0x721e,0x84eb,0xbcb1,
-0x5eba,0x93f6,0xe6d8,0x3cde,
-0xfbeb,0xc297,0x5022,0xbd0a,
-0x2627,0x4b26,0x9b46,0x3d35,
-0x1af0,0x62ee,0x164c,0xbd61,
-0xd324,0xe19b,0xfe2f,0x3d89,
-0x6abc,0x7a94,0xfc95,0xbdb2,
-0x3c10,0xcc74,0x98be,0x3dda,
-0x9556,0x13ae,0xd4fe,0xbe01,
-0xcb34,0xa454,0xd903,0x3e26,
-0x30ab,0x8c0b,0xeaf6,0xbe4b,
-0x6435,0x9d4d,0x3b76,0x3e70,
-0x7f8d,0x8f22,0xec63,0xbe91,
-0xf4ac,0x978c,0xbf24,0x3eb2,
-0x6427,0xcba5,0x866f,0xbed2,
-0x2859,0xbe9a,0x3f58,0x3ef1,
-0x1d5a,0x59c4,0x2b26,0xbf0e,
-0x7cab,0x7410,0xb51b,0x3f28,
-0xeb52,0x1f15,0xe2fd,0xbf42,
-0x100e,0x8a12,0xdc75,0x3f5a,
-0xa849,0x201a,0xb65e,0xbf71,
-0xe3dd,0xf3dd,0x9961,0x3f85,
-0xb6f0,0xf121,0x4e9e,0xbf98,
-0xa32d,0xcea8,0x3e8a,0x3fa9,
-0x06ea,0x342d,0x4b70,0xbfb8,
-0x88c0,0x77ac,0xf7ac,0x3fc5,
-0xcd8d,0xc057,0x7feb,0xbfd3,
-0xa22a,0x9035,0xa84e,0x3fe5,
-};
-#endif
-
-#ifdef MIEEE
-static unsigned short A[] = {
-0xbc54,0x5cb7,0x2134,0xd0ef,
-0x3c83,0x3362,0x977d,0xa589,
-0xbcb1,0x84eb,0x721e,0xbbb4,
-0x3cde,0xe6d8,0x93f6,0x5eba,
-0xbd0a,0x5022,0xc297,0xfbeb,
-0x3d35,0x9b46,0x4b26,0x2627,
-0xbd61,0x164c,0x62ee,0x1af0,
-0x3d89,0xfe2f,0xe19b,0xd324,
-0xbdb2,0xfc95,0x7a94,0x6abc,
-0x3dda,0x98be,0xcc74,0x3c10,
-0xbe01,0xd4fe,0x13ae,0x9556,
-0x3e26,0xd903,0xa454,0xcb34,
-0xbe4b,0xeaf6,0x8c0b,0x30ab,
-0x3e70,0x3b76,0x9d4d,0x6435,
-0xbe91,0xec63,0x8f22,0x7f8d,
-0x3eb2,0xbf24,0x978c,0xf4ac,
-0xbed2,0x866f,0xcba5,0x6427,
-0x3ef1,0x3f58,0xbe9a,0x2859,
-0xbf0e,0x2b26,0x59c4,0x1d5a,
-0x3f28,0xb51b,0x7410,0x7cab,
-0xbf42,0xe2fd,0x1f15,0xeb52,
-0x3f5a,0xdc75,0x8a12,0x100e,
-0xbf71,0xb65e,0x201a,0xa849,
-0x3f85,0x9961,0xf3dd,0xe3dd,
-0xbf98,0x4e9e,0xf121,0xb6f0,
-0x3fa9,0x3e8a,0xcea8,0xa32d,
-0xbfb8,0x4b70,0x342d,0x06ea,
-0x3fc5,0xf7ac,0x77ac,0x88c0,
-0xbfd3,0x7feb,0xc057,0xcd8d,
-0x3fe5,0xa84e,0x9035,0xa22a
-};
-#endif
-
-
-/* Chebyshev coefficients for exp(-x) sqrt(x) I0(x)
- * in the inverted interval [8,infinity].
- *
- * lim(x->inf){ exp(-x) sqrt(x) I0(x) } = 1/sqrt(2pi).
- */
-
-#ifdef UNK
-static double B[] =
-{
--7.23318048787475395456E-18,
--4.83050448594418207126E-18,
- 4.46562142029675999901E-17,
- 3.46122286769746109310E-17,
--2.82762398051658348494E-16,
--3.42548561967721913462E-16,
- 1.77256013305652638360E-15,
- 3.81168066935262242075E-15,
--9.55484669882830764870E-15,
--4.15056934728722208663E-14,
- 1.54008621752140982691E-14,
- 3.85277838274214270114E-13,
- 7.18012445138366623367E-13,
--1.79417853150680611778E-12,
--1.32158118404477131188E-11,
--3.14991652796324136454E-11,
- 1.18891471078464383424E-11,
- 4.94060238822496958910E-10,
- 3.39623202570838634515E-9,
- 2.26666899049817806459E-8,
- 2.04891858946906374183E-7,
- 2.89137052083475648297E-6,
- 6.88975834691682398426E-5,
- 3.36911647825569408990E-3,
- 8.04490411014108831608E-1
-};
-#endif
-
-#ifdef DEC
-static unsigned short B[] = {
-0122005,0066672,0123124,0054311,
-0121662,0033323,0030214,0104602,
-0022515,0170300,0113314,0020413,
-0022437,0117350,0035402,0007146,
-0123243,0000135,0057220,0177435,
-0123305,0073476,0144106,0170702,
-0023777,0071755,0017527,0154373,
-0024211,0052214,0102247,0033270,
-0124454,0017763,0171453,0012322,
-0125072,0166316,0075505,0154616,
-0024612,0133770,0065376,0025045,
-0025730,0162143,0056036,0001632,
-0026112,0015077,0150464,0063542,
-0126374,0101030,0014274,0065457,
-0127150,0077271,0125763,0157617,
-0127412,0104350,0040713,0120445,
-0027121,0023765,0057500,0001165,
-0030407,0147146,0003643,0075644,
-0031151,0061445,0044422,0156065,
-0031702,0132224,0003266,0125551,
-0032534,0000076,0147153,0005555,
-0033502,0004536,0004016,0026055,
-0034620,0076433,0142314,0171215,
-0036134,0146145,0013454,0101104,
-0040115,0171425,0062500,0047133
-};
-#endif
-
-#ifdef IBMPC
-static unsigned short B[] = {
-0x8b19,0x54ca,0xadb7,0xbc60,
-0x9130,0x6611,0x46da,0xbc56,
-0x8421,0x12d9,0xbe18,0x3c89,
-0x41cd,0x0760,0xf3dd,0x3c83,
-0x1fe4,0xabd2,0x600b,0xbcb4,
-0xde38,0xd908,0xaee7,0xbcb8,
-0xfb1f,0xa3ea,0xee7d,0x3cdf,
-0xe6d7,0x9094,0x2a91,0x3cf1,
-0x629a,0x7e65,0x83fe,0xbd05,
-0xbb32,0xcf68,0x5d99,0xbd27,
-0xc545,0x0d5f,0x56ff,0x3d11,
-0xc073,0x6b83,0x1c8c,0x3d5b,
-0x8cec,0xfa26,0x4347,0x3d69,
-0x8d66,0x0317,0x9043,0xbd7f,
-0x7bf2,0x357e,0x0fd7,0xbdad,
-0x7425,0x0839,0x511d,0xbdc1,
-0x004f,0xabe8,0x24fe,0x3daa,
-0x6f75,0xc0f4,0xf9cc,0x3e00,
-0x5b87,0xa922,0x2c64,0x3e2d,
-0xd56d,0x80d6,0x5692,0x3e58,
-0x616e,0xd9cd,0x8007,0x3e8b,
-0xc586,0xc101,0x412b,0x3ec8,
-0x9e52,0x7899,0x0fa3,0x3f12,
-0x9049,0xa2e5,0x998c,0x3f6b,
-0x09cb,0xaca8,0xbe62,0x3fe9
-};
-#endif
-
-#ifdef MIEEE
-static unsigned short B[] = {
-0xbc60,0xadb7,0x54ca,0x8b19,
-0xbc56,0x46da,0x6611,0x9130,
-0x3c89,0xbe18,0x12d9,0x8421,
-0x3c83,0xf3dd,0x0760,0x41cd,
-0xbcb4,0x600b,0xabd2,0x1fe4,
-0xbcb8,0xaee7,0xd908,0xde38,
-0x3cdf,0xee7d,0xa3ea,0xfb1f,
-0x3cf1,0x2a91,0x9094,0xe6d7,
-0xbd05,0x83fe,0x7e65,0x629a,
-0xbd27,0x5d99,0xcf68,0xbb32,
-0x3d11,0x56ff,0x0d5f,0xc545,
-0x3d5b,0x1c8c,0x6b83,0xc073,
-0x3d69,0x4347,0xfa26,0x8cec,
-0xbd7f,0x9043,0x0317,0x8d66,
-0xbdad,0x0fd7,0x357e,0x7bf2,
-0xbdc1,0x511d,0x0839,0x7425,
-0x3daa,0x24fe,0xabe8,0x004f,
-0x3e00,0xf9cc,0xc0f4,0x6f75,
-0x3e2d,0x2c64,0xa922,0x5b87,
-0x3e58,0x5692,0x80d6,0xd56d,
-0x3e8b,0x8007,0xd9cd,0x616e,
-0x3ec8,0x412b,0xc101,0xc586,
-0x3f12,0x0fa3,0x7899,0x9e52,
-0x3f6b,0x998c,0xa2e5,0x9049,
-0x3fe9,0xbe62,0xaca8,0x09cb
-};
-#endif
-
-double chbevl(double x, double array[], int n)
-{
-double b0, b1, b2, *p;
-int i;
-
-p = array;
-b0 = *p++;
-b1 = 0.0;
-i = n - 1;
-
-do
- {
- b2 = b1;
- b1 = b0;
- b0 = x * b1 - b2 + *p++;
- }
-while( --i );
-
-return( 0.5*(b0-b2) );
-}
-
-double i0(double x)
-{
-double y;
-
-if( x < 0 )
- x = -x;
-if( x <= 8.0 )
- {
- y = (x/2.0) - 2.0;
- return( exp(x) * chbevl( y, A, 30 ) );
- }
-
-return( exp(x) * chbevl( 32.0/x - 2.0, B, 25 ) / sqrt(x) );
-
-}
-
-
-
-
-double i0e(double x)
-{
-double y;
-
-if( x < 0 )
- x = -x;
-if( x <= 8.0 )
- {
- y = (x/2.0) - 2.0;
- return( chbevl( y, A, 30 ) );
- }
-
-return( chbevl( 32.0/x - 2.0, B, 25 ) / sqrt(x) );
-
-}
diff --git a/kaiser~.c b/kaiser~.c
index 8267ba1..9a7ee5a 100644
--- a/kaiser~.c
+++ b/kaiser~.c
@@ -20,15 +20,31 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
+#include "mconf.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFALPHA 10
#define DEFBLOCKSIZE 64
+double i0(double x);
+double i0e(double x);
+
+void fillKaiser(float *vec, int n, float alpha) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = (float)(i0(alpha * sqrt(1 - (x * x))) / i0(alpha));
+ }
+}
+
static t_class *kaiser_class;
typedef struct _kaiser {
@@ -97,3 +113,415 @@ void kaiser_tilde_setup(void) {
class_addmethod(kaiser_class, (t_method)kaiser_dsp, gensym("dsp"), 0);
class_addfloat(kaiser_class, (t_method)kaiser_float);
}
+
+
+
+
+/* originally from i0.c
+ *
+ * Modified Bessel function of order zero
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double x, y, i0();
+ *
+ * y = i0( x );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns modified Bessel function of order zero of the
+ * argument.
+ *
+ * The function is defined as i0(x) = j0( ix ).
+ *
+ * The range is partitioned into the two intervals [0,8] and
+ * (8, infinity). Chebyshev polynomial expansions are employed
+ * in each interval.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * DEC 0,30 6000 8.2e-17 1.9e-17
+ * IEEE 0,30 30000 5.8e-16 1.4e-16
+ *
+ */
+ /* i0e.c
+ *
+ * Modified Bessel function of order zero,
+ * exponentially scaled
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double x, y, i0e();
+ *
+ * y = i0e( x );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns exponentially scaled modified Bessel function
+ * of order zero of the argument.
+ *
+ * The function is defined as i0e(x) = exp(-|x|) j0( ix ).
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * IEEE 0,30 30000 5.4e-16 1.2e-16
+ * See i0().
+ *
+ */
+
+/* i0.c */
+
+
+/*
+Cephes Math Library Release 2.8: June, 2000
+Copyright 1984, 1987, 2000 by Stephen L. Moshier
+*/
+
+#include "mconf.h"
+
+/* Chebyshev coefficients for exp(-x) I0(x)
+ * in the interval [0,8].
+ *
+ * lim(x->0){ exp(-x) I0(x) } = 1.
+ */
+
+#ifdef UNK
+static double A[] =
+{
+-4.41534164647933937950E-18,
+ 3.33079451882223809783E-17,
+-2.43127984654795469359E-16,
+ 1.71539128555513303061E-15,
+-1.16853328779934516808E-14,
+ 7.67618549860493561688E-14,
+-4.85644678311192946090E-13,
+ 2.95505266312963983461E-12,
+-1.72682629144155570723E-11,
+ 9.67580903537323691224E-11,
+-5.18979560163526290666E-10,
+ 2.65982372468238665035E-9,
+-1.30002500998624804212E-8,
+ 6.04699502254191894932E-8,
+-2.67079385394061173391E-7,
+ 1.11738753912010371815E-6,
+-4.41673835845875056359E-6,
+ 1.64484480707288970893E-5,
+-5.75419501008210370398E-5,
+ 1.88502885095841655729E-4,
+-5.76375574538582365885E-4,
+ 1.63947561694133579842E-3,
+-4.32430999505057594430E-3,
+ 1.05464603945949983183E-2,
+-2.37374148058994688156E-2,
+ 4.93052842396707084878E-2,
+-9.49010970480476444210E-2,
+ 1.71620901522208775349E-1,
+-3.04682672343198398683E-1,
+ 6.76795274409476084995E-1
+};
+#endif
+
+#ifdef DEC
+static unsigned short A[] = {
+0121642,0162671,0004646,0103567,
+0022431,0115424,0135755,0026104,
+0123214,0023533,0110365,0156635,
+0023767,0033304,0117662,0172716,
+0124522,0100426,0012277,0157531,
+0025254,0155062,0054461,0030465,
+0126010,0131143,0013560,0153604,
+0026517,0170577,0006336,0114437,
+0127227,0162253,0152243,0052734,
+0027724,0142766,0061641,0160200,
+0130416,0123760,0116564,0125262,
+0031066,0144035,0021246,0054641,
+0131537,0053664,0060131,0102530,
+0032201,0155664,0165153,0020652,
+0132617,0061434,0074423,0176145,
+0033225,0174444,0136147,0122542,
+0133624,0031576,0056453,0020470,
+0034211,0175305,0172321,0041314,
+0134561,0054462,0147040,0165315,
+0035105,0124333,0120203,0162532,
+0135427,0013750,0174257,0055221,
+0035726,0161654,0050220,0100162,
+0136215,0131361,0000325,0041110,
+0036454,0145417,0117357,0017352,
+0136702,0072367,0104415,0133574,
+0037111,0172126,0072505,0014544,
+0137302,0055601,0120550,0033523,
+0037457,0136543,0136544,0043002,
+0137633,0177536,0001276,0066150,
+0040055,0041164,0100655,0010521
+};
+#endif
+
+#ifdef IBMPC
+static unsigned short A[] = {
+0xd0ef,0x2134,0x5cb7,0xbc54,
+0xa589,0x977d,0x3362,0x3c83,
+0xbbb4,0x721e,0x84eb,0xbcb1,
+0x5eba,0x93f6,0xe6d8,0x3cde,
+0xfbeb,0xc297,0x5022,0xbd0a,
+0x2627,0x4b26,0x9b46,0x3d35,
+0x1af0,0x62ee,0x164c,0xbd61,
+0xd324,0xe19b,0xfe2f,0x3d89,
+0x6abc,0x7a94,0xfc95,0xbdb2,
+0x3c10,0xcc74,0x98be,0x3dda,
+0x9556,0x13ae,0xd4fe,0xbe01,
+0xcb34,0xa454,0xd903,0x3e26,
+0x30ab,0x8c0b,0xeaf6,0xbe4b,
+0x6435,0x9d4d,0x3b76,0x3e70,
+0x7f8d,0x8f22,0xec63,0xbe91,
+0xf4ac,0x978c,0xbf24,0x3eb2,
+0x6427,0xcba5,0x866f,0xbed2,
+0x2859,0xbe9a,0x3f58,0x3ef1,
+0x1d5a,0x59c4,0x2b26,0xbf0e,
+0x7cab,0x7410,0xb51b,0x3f28,
+0xeb52,0x1f15,0xe2fd,0xbf42,
+0x100e,0x8a12,0xdc75,0x3f5a,
+0xa849,0x201a,0xb65e,0xbf71,
+0xe3dd,0xf3dd,0x9961,0x3f85,
+0xb6f0,0xf121,0x4e9e,0xbf98,
+0xa32d,0xcea8,0x3e8a,0x3fa9,
+0x06ea,0x342d,0x4b70,0xbfb8,
+0x88c0,0x77ac,0xf7ac,0x3fc5,
+0xcd8d,0xc057,0x7feb,0xbfd3,
+0xa22a,0x9035,0xa84e,0x3fe5,
+};
+#endif
+
+#ifdef MIEEE
+static unsigned short A[] = {
+0xbc54,0x5cb7,0x2134,0xd0ef,
+0x3c83,0x3362,0x977d,0xa589,
+0xbcb1,0x84eb,0x721e,0xbbb4,
+0x3cde,0xe6d8,0x93f6,0x5eba,
+0xbd0a,0x5022,0xc297,0xfbeb,
+0x3d35,0x9b46,0x4b26,0x2627,
+0xbd61,0x164c,0x62ee,0x1af0,
+0x3d89,0xfe2f,0xe19b,0xd324,
+0xbdb2,0xfc95,0x7a94,0x6abc,
+0x3dda,0x98be,0xcc74,0x3c10,
+0xbe01,0xd4fe,0x13ae,0x9556,
+0x3e26,0xd903,0xa454,0xcb34,
+0xbe4b,0xeaf6,0x8c0b,0x30ab,
+0x3e70,0x3b76,0x9d4d,0x6435,
+0xbe91,0xec63,0x8f22,0x7f8d,
+0x3eb2,0xbf24,0x978c,0xf4ac,
+0xbed2,0x866f,0xcba5,0x6427,
+0x3ef1,0x3f58,0xbe9a,0x2859,
+0xbf0e,0x2b26,0x59c4,0x1d5a,
+0x3f28,0xb51b,0x7410,0x7cab,
+0xbf42,0xe2fd,0x1f15,0xeb52,
+0x3f5a,0xdc75,0x8a12,0x100e,
+0xbf71,0xb65e,0x201a,0xa849,
+0x3f85,0x9961,0xf3dd,0xe3dd,
+0xbf98,0x4e9e,0xf121,0xb6f0,
+0x3fa9,0x3e8a,0xcea8,0xa32d,
+0xbfb8,0x4b70,0x342d,0x06ea,
+0x3fc5,0xf7ac,0x77ac,0x88c0,
+0xbfd3,0x7feb,0xc057,0xcd8d,
+0x3fe5,0xa84e,0x9035,0xa22a
+};
+#endif
+
+
+/* Chebyshev coefficients for exp(-x) sqrt(x) I0(x)
+ * in the inverted interval [8,infinity].
+ *
+ * lim(x->inf){ exp(-x) sqrt(x) I0(x) } = 1/sqrt(2pi).
+ */
+
+#ifdef UNK
+static double B[] =
+{
+-7.23318048787475395456E-18,
+-4.83050448594418207126E-18,
+ 4.46562142029675999901E-17,
+ 3.46122286769746109310E-17,
+-2.82762398051658348494E-16,
+-3.42548561967721913462E-16,
+ 1.77256013305652638360E-15,
+ 3.81168066935262242075E-15,
+-9.55484669882830764870E-15,
+-4.15056934728722208663E-14,
+ 1.54008621752140982691E-14,
+ 3.85277838274214270114E-13,
+ 7.18012445138366623367E-13,
+-1.79417853150680611778E-12,
+-1.32158118404477131188E-11,
+-3.14991652796324136454E-11,
+ 1.18891471078464383424E-11,
+ 4.94060238822496958910E-10,
+ 3.39623202570838634515E-9,
+ 2.26666899049817806459E-8,
+ 2.04891858946906374183E-7,
+ 2.89137052083475648297E-6,
+ 6.88975834691682398426E-5,
+ 3.36911647825569408990E-3,
+ 8.04490411014108831608E-1
+};
+#endif
+
+#ifdef DEC
+static unsigned short B[] = {
+0122005,0066672,0123124,0054311,
+0121662,0033323,0030214,0104602,
+0022515,0170300,0113314,0020413,
+0022437,0117350,0035402,0007146,
+0123243,0000135,0057220,0177435,
+0123305,0073476,0144106,0170702,
+0023777,0071755,0017527,0154373,
+0024211,0052214,0102247,0033270,
+0124454,0017763,0171453,0012322,
+0125072,0166316,0075505,0154616,
+0024612,0133770,0065376,0025045,
+0025730,0162143,0056036,0001632,
+0026112,0015077,0150464,0063542,
+0126374,0101030,0014274,0065457,
+0127150,0077271,0125763,0157617,
+0127412,0104350,0040713,0120445,
+0027121,0023765,0057500,0001165,
+0030407,0147146,0003643,0075644,
+0031151,0061445,0044422,0156065,
+0031702,0132224,0003266,0125551,
+0032534,0000076,0147153,0005555,
+0033502,0004536,0004016,0026055,
+0034620,0076433,0142314,0171215,
+0036134,0146145,0013454,0101104,
+0040115,0171425,0062500,0047133
+};
+#endif
+
+#ifdef IBMPC
+static unsigned short B[] = {
+0x8b19,0x54ca,0xadb7,0xbc60,
+0x9130,0x6611,0x46da,0xbc56,
+0x8421,0x12d9,0xbe18,0x3c89,
+0x41cd,0x0760,0xf3dd,0x3c83,
+0x1fe4,0xabd2,0x600b,0xbcb4,
+0xde38,0xd908,0xaee7,0xbcb8,
+0xfb1f,0xa3ea,0xee7d,0x3cdf,
+0xe6d7,0x9094,0x2a91,0x3cf1,
+0x629a,0x7e65,0x83fe,0xbd05,
+0xbb32,0xcf68,0x5d99,0xbd27,
+0xc545,0x0d5f,0x56ff,0x3d11,
+0xc073,0x6b83,0x1c8c,0x3d5b,
+0x8cec,0xfa26,0x4347,0x3d69,
+0x8d66,0x0317,0x9043,0xbd7f,
+0x7bf2,0x357e,0x0fd7,0xbdad,
+0x7425,0x0839,0x511d,0xbdc1,
+0x004f,0xabe8,0x24fe,0x3daa,
+0x6f75,0xc0f4,0xf9cc,0x3e00,
+0x5b87,0xa922,0x2c64,0x3e2d,
+0xd56d,0x80d6,0x5692,0x3e58,
+0x616e,0xd9cd,0x8007,0x3e8b,
+0xc586,0xc101,0x412b,0x3ec8,
+0x9e52,0x7899,0x0fa3,0x3f12,
+0x9049,0xa2e5,0x998c,0x3f6b,
+0x09cb,0xaca8,0xbe62,0x3fe9
+};
+#endif
+
+#ifdef MIEEE
+static unsigned short B[] = {
+0xbc60,0xadb7,0x54ca,0x8b19,
+0xbc56,0x46da,0x6611,0x9130,
+0x3c89,0xbe18,0x12d9,0x8421,
+0x3c83,0xf3dd,0x0760,0x41cd,
+0xbcb4,0x600b,0xabd2,0x1fe4,
+0xbcb8,0xaee7,0xd908,0xde38,
+0x3cdf,0xee7d,0xa3ea,0xfb1f,
+0x3cf1,0x2a91,0x9094,0xe6d7,
+0xbd05,0x83fe,0x7e65,0x629a,
+0xbd27,0x5d99,0xcf68,0xbb32,
+0x3d11,0x56ff,0x0d5f,0xc545,
+0x3d5b,0x1c8c,0x6b83,0xc073,
+0x3d69,0x4347,0xfa26,0x8cec,
+0xbd7f,0x9043,0x0317,0x8d66,
+0xbdad,0x0fd7,0x357e,0x7bf2,
+0xbdc1,0x511d,0x0839,0x7425,
+0x3daa,0x24fe,0xabe8,0x004f,
+0x3e00,0xf9cc,0xc0f4,0x6f75,
+0x3e2d,0x2c64,0xa922,0x5b87,
+0x3e58,0x5692,0x80d6,0xd56d,
+0x3e8b,0x8007,0xd9cd,0x616e,
+0x3ec8,0x412b,0xc101,0xc586,
+0x3f12,0x0fa3,0x7899,0x9e52,
+0x3f6b,0x998c,0xa2e5,0x9049,
+0x3fe9,0xbe62,0xaca8,0x09cb
+};
+#endif
+
+double chbevl(double x, double array[], int n)
+{
+double b0, b1, b2, *p;
+int i;
+
+p = array;
+b0 = *p++;
+b1 = 0.0;
+i = n - 1;
+
+do
+ {
+ b2 = b1;
+ b1 = b0;
+ b0 = x * b1 - b2 + *p++;
+ }
+while( --i );
+
+return( 0.5*(b0-b2) );
+}
+
+double i0(double x)
+{
+double y;
+
+if( x < 0 )
+ x = -x;
+if( x <= 8.0 )
+ {
+ y = (x/2.0) - 2.0;
+ return( exp(x) * chbevl( y, A, 30 ) );
+ }
+
+return( exp(x) * chbevl( 32.0/x - 2.0, B, 25 ) / sqrt(x) );
+
+}
+
+
+
+
+double i0e(double x)
+{
+double y;
+
+if( x < 0 )
+ x = -x;
+if( x <= 8.0 )
+ {
+ y = (x/2.0) - 2.0;
+ return( chbevl( y, A, 30 ) );
+ }
+
+return( chbevl( 32.0/x - 2.0, B, 25 ) / sqrt(x) );
+
+}
diff --git a/lanczos~.c b/lanczos~.c
index 422b020..b14f676 100644
--- a/lanczos~.c
+++ b/lanczos~.c
@@ -20,14 +20,35 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+#include <math.h>
+
+#ifdef _WIN32
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillLanczos(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ if (x == 0) {
+ vec[i] = 1;
+ }
+ else {
+ vec[i] = (float)(sin(M_PI * x) / (M_PI * x));
+ }
+ }
+}
+
static t_class *lanczos_class;
typedef struct _lanczos {
diff --git a/mconf.h b/mconf.h
index 063158e..04c4278 100644
--- a/mconf.h
+++ b/mconf.h
@@ -99,11 +99,12 @@ Copyright 1984, 1987, 1989, 1995 by Stephen L. Moshier
#define UNDERFLOW 4 /* underflow range error */
#define TLOSS 5 /* total loss of precision */
#define PLOSS 6 /* partial loss of precision */
-#endif
+#endif
#define EDOM 33
#define ERANGE 34
/* Complex numeral. */
+#if 0
typedef struct
{
double r;
@@ -118,7 +119,7 @@ typedef struct
long double i;
} cmplxl;
#endif
-
+#endif
/* Type of computer arithmetic */
diff --git a/welch~.c b/welch~.c
index ffae066..ec79692 100644
--- a/welch~.c
+++ b/welch~.c
@@ -20,14 +20,25 @@
*/
#include "m_pd.h"
-#include "windowFunctions.h"
#include <stdlib.h>
-#ifdef NT
+
+#ifdef _MSC_VER
#pragma warning( disable : 4244 )
#pragma warning( disable : 4305 )
#endif
+
#define DEFBLOCKSIZE 64
+void fillWelch(float *vec, int n) {
+ int i;
+ float xShift = (float)n / 2;
+ float x;
+ for (i = 0; i < n; i++) {
+ x = (i - xShift) / xShift;
+ vec[i] = 1 - (x * x);
+ }
+}
+
static t_class *welch_class;
typedef struct _welch {
diff --git a/windowFunctions.c b/windowFunctions.c
deleted file mode 100644
index acb7e9f..0000000
--- a/windowFunctions.c
+++ /dev/null
@@ -1,136 +0,0 @@
-/* Copyright (C) 2002 Joseph A. Sarlo
-**
-** This program is free software; you can redistribute it and/or
-** modify it under the terms of the GNU General Public License
-** as published by the Free Software Foundation; either version 2
-** of the License, or (at your option) any later version.
-**
-** This program is distributed in the hope that it will be useful,
-** but WITHOUT ANY WARRANTY; without even the implied warranty of
-** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-** GNU General Public License for more details.
-**
-** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
-** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
-**
-** jsarlo@mambo.peabody.jhu.edu
-*/
-
-#include <stdlib.h>
-#include <math.h>
-#include <stdio.h>
-#ifdef NT
-#define M_PI 3.14159265358979323846
-#endif
-
-/* modified bessel function of zeroth order */
-double i0(double x);
-
-void fillHanning(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(0.5 * (1 + cos(M_PI * x)));
- }
-}
-
-void fillHamming(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(0.54 + 0.46 * cos(M_PI * x));
- }
-}
-
-void fillBlackman(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(0.42 + (0.5 * cos(M_PI * x)) + (0.08 * cos (2 * M_PI * x)));
- }
-}
-
-void fillConnes(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)((1 - (x * x)) * (1 - (x * x)));
- }
-}
-
-void fillCosine(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)cos(M_PI * x / 2);
- }
-}
-
-void fillWelch(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = 1 - (x * x);
- }
-}
-
-void fillBartlett(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(1 - fabs(x));
- }
-}
-
-void fillLanczos(float *vec, int n) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- if (x == 0) {
- vec[i] = 1;
- }
- else {
- vec[i] = (float)(sin(M_PI * x) / (M_PI * x));
- }
- }
-}
-
-void fillGaussian(float *vec, int n, float delta) {
- int i;
- float xShift = (float)n / 2;
- float x;
- if (delta == 0) {
- delta = 1;
- }
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(pow(2, (-1 * (x / delta) * (x / delta))));
- }
-}
-
-void fillKaiser(float *vec, int n, float alpha) {
- int i;
- float xShift = (float)n / 2;
- float x;
- for (i = 0; i < n; i++) {
- x = (i - xShift) / xShift;
- vec[i] = (float)(i0(alpha * sqrt(1 - (x * x))) / i0(alpha));
- }
-}
diff --git a/windowFunctions.h b/windowFunctions.h
deleted file mode 100644
index 9aed7ba..0000000
--- a/windowFunctions.h
+++ /dev/null
@@ -1,30 +0,0 @@
-/* Copyright (C) 2002 Joseph A. Sarlo
-**
-** This program is free software; you can redistribute it and/or
-** modify it under the terms of the GNU General Public License
-** as published by the Free Software Foundation; either version 2
-** of the License, or (at your option) any later version.
-**
-** This program is distributed in the hope that it will be useful,
-** but WITHOUT ANY WARRANTY; without even the implied warranty of
-** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-** GNU General Public License for more details.
-**
-** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
-** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
-**
-** jsarlo@mambo.peabody.jhu.edu
-*/
-
-void fillHanning(float *vec, int n);
-void fillHamming(float *vec, int n);
-void fillBlackman(float *vec, int n);
-void fillConnes(float *vec, int n);
-void fillCosine(float *vec, int n);
-void fillWelch(float *vec, int n);
-void fillBartlett(float *vec, int n);
-void fillLanczos(float *vec, int n);
-void fillGaussian(float *vec, int n, float delta);
-void fillKaiser(float *vec, int n, float delta);
-
generated by cgit v1.2.1 (git 2.18.0) at 2025-02-20 19:19:50 +0000