1 files changed, 458 insertions, 0 deletions
diff --git a/gsl-1.9/wavelet/daubechies.c b/gsl-1.9/wavelet/daubechies.c
new file mode 100644
index 0000000..67b7daa
--- /dev/null
+++ b/gsl-1.9/wavelet/daubechies.c
@@ -0,0 +1,458 @@
+/* wavelet/daubechies.c
+ * 
+ * Copyright (C) 2004 Ivo Alxneit
+ * 
+ * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+/*
+ * Coefficients for Daubechies wavelets of extremal phase are from
+ * I. Daubechies, "Orthonormal Bases of Compactly Supported Wavelets",
+ * Communications on Pure and Applied Mathematics, 41 (1988) 909--996
+ * (table 1).
+ * Additional digits have been obtained using the Mathematica package
+ * Daubechies.m by Tong Chen & Meng Xu available at
+ * http://www.cwp.mines.edu/wavelets/.
+ */
+
+#include <config.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_wavelet.h>
+
+static const double h_4[4] = { 0.48296291314453414337487159986,
+  0.83651630373780790557529378092,
+  0.22414386804201338102597276224,
+  -0.12940952255126038117444941881
+};
+
+static const double g_4[4] = { -0.12940952255126038117444941881,
+  -0.22414386804201338102597276224,
+  0.83651630373780790557529378092,
+  -0.48296291314453414337487159986
+};
+
+static const double h_6[6] = { 0.33267055295008261599851158914,
+  0.80689150931109257649449360409,
+  0.45987750211849157009515194215,
+  -0.13501102001025458869638990670,
+  -0.08544127388202666169281916918,
+  0.03522629188570953660274066472
+};
+
+static const double g_6[6] = { 0.03522629188570953660274066472,
+  0.08544127388202666169281916918,
+  -0.13501102001025458869638990670,
+  -0.45987750211849157009515194215,
+  0.80689150931109257649449360409,
+  -0.33267055295008261599851158914
+};
+
+static const double h_8[8] = { 0.23037781330889650086329118304,
+  0.71484657055291564708992195527,
+  0.63088076792985890788171633830,
+  -0.02798376941685985421141374718,
+  -0.18703481171909308407957067279,
+  0.03084138183556076362721936253,
+  0.03288301166688519973540751355,
+  -0.01059740178506903210488320852
+};
+
+static const double g_8[8] = { -0.01059740178506903210488320852,
+  -0.03288301166688519973540751355,
+  0.03084138183556076362721936253,
+  0.18703481171909308407957067279,
+  -0.02798376941685985421141374718,
+  -0.63088076792985890788171633830,
+  0.71484657055291564708992195527,
+  -0.23037781330889650086329118304
+};
+
+static const double h_10[10] = { 0.16010239797419291448072374802,
+  0.60382926979718967054011930653,
+  0.72430852843777292772807124410,
+  0.13842814590132073150539714634,
+  -0.24229488706638203186257137947,
+  -0.03224486958463837464847975506,
+  0.07757149384004571352313048939,
+  -0.00624149021279827427419051911,
+  -0.01258075199908199946850973993,
+  0.00333572528547377127799818342
+};
+
+static const double g_10[10] = { 0.00333572528547377127799818342,
+  0.01258075199908199946850973993,
+  -0.00624149021279827427419051911,
+  -0.07757149384004571352313048939,
+  -0.03224486958463837464847975506,
+  0.24229488706638203186257137947,
+  0.13842814590132073150539714634,
+  -0.72430852843777292772807124410,
+  0.60382926979718967054011930653,
+  -0.16010239797419291448072374802
+};
+
+static const double h_12[12] = { 0.11154074335010946362132391724,
+  0.49462389039845308567720417688,
+  0.75113390802109535067893449844,
+  0.31525035170919762908598965481,
+  -0.22626469396543982007631450066,
+  -0.12976686756726193556228960588,
+  0.09750160558732304910234355254,
+  0.02752286553030572862554083950,
+  -0.03158203931748602956507908070,
+  0.00055384220116149613925191840,
+  0.00477725751094551063963597525,
+  -0.00107730108530847956485262161
+};
+
+static const double g_12[12] = { -0.00107730108530847956485262161,
+  -0.00477725751094551063963597525,
+  0.00055384220116149613925191840,
+  0.03158203931748602956507908070,
+  0.02752286553030572862554083950,
+  -0.09750160558732304910234355254,
+  -0.12976686756726193556228960588,
+  0.22626469396543982007631450066,
+  0.31525035170919762908598965481,
+  -0.75113390802109535067893449844,
+  0.49462389039845308567720417688,
+  -0.11154074335010946362132391724
+};
+
+static const double h_14[14] = { 0.07785205408500917901996352196,
+  0.39653931948191730653900039094,
+  0.72913209084623511991694307034,
+  0.46978228740519312247159116097,
+  -0.14390600392856497540506836221,
+  -0.22403618499387498263814042023,
+  0.07130921926683026475087657050,
+  0.08061260915108307191292248036,
+  -0.03802993693501441357959206160,
+  -0.01657454163066688065410767489,
+  0.01255099855609984061298988603,
+  0.00042957797292136652113212912,
+  -0.00180164070404749091526826291,
+  0.00035371379997452024844629584
+};
+
+static const double g_14[14] = { 0.00035371379997452024844629584,
+  0.00180164070404749091526826291,
+  0.00042957797292136652113212912,
+  -0.01255099855609984061298988603,
+  -0.01657454163066688065410767489,
+  0.03802993693501441357959206160,
+  0.08061260915108307191292248036,
+  -0.07130921926683026475087657050,
+  -0.22403618499387498263814042023,
+  0.14390600392856497540506836221,
+  0.46978228740519312247159116097,
+  -0.72913209084623511991694307034,
+  0.39653931948191730653900039094,
+  -0.07785205408500917901996352196
+};
+
+static const double h_16[16] = { 0.05441584224310400995500940520,
+  0.31287159091429997065916237551,
+  0.67563073629728980680780076705,
+  0.58535468365420671277126552005,
+  -0.01582910525634930566738054788,
+  -0.28401554296154692651620313237,
+  0.00047248457391328277036059001,
+  0.12874742662047845885702928751,
+  -0.01736930100180754616961614887,
+  -0.04408825393079475150676372324,
+  0.01398102791739828164872293057,
+  0.00874609404740577671638274325,
+  -0.00487035299345157431042218156,
+  -0.00039174037337694704629808036,
+  0.00067544940645056936636954757,
+  -0.00011747678412476953373062823
+};
+
+static const double g_16[16] = { -0.00011747678412476953373062823,
+  -0.00067544940645056936636954757,
+  -0.00039174037337694704629808036,
+  0.00487035299345157431042218156,
+  0.00874609404740577671638274325,
+  -0.01398102791739828164872293057,
+  -0.04408825393079475150676372324,
+  0.01736930100180754616961614887,
+  0.12874742662047845885702928751,
+  -0.00047248457391328277036059001,
+  -0.28401554296154692651620313237,
+  0.01582910525634930566738054788,
+  0.58535468365420671277126552005,
+  -0.67563073629728980680780076705,
+  0.31287159091429997065916237551,
+  -0.05441584224310400995500940520
+};
+
+static const double h_18[18] = { 0.03807794736387834658869765888,
+  0.24383467461259035373204158165,
+  0.60482312369011111190307686743,
+  0.65728807805130053807821263905,
+  0.13319738582500757619095494590,
+  -0.29327378327917490880640319524,
+  -0.09684078322297646051350813354,
+  0.14854074933810638013507271751,
+  0.03072568147933337921231740072,
+  -0.06763282906132997367564227483,
+  0.00025094711483145195758718975,
+  0.02236166212367909720537378270,
+  -0.00472320475775139727792570785,
+  -0.00428150368246342983449679500,
+  0.00184764688305622647661912949,
+  0.00023038576352319596720521639,
+  -0.00025196318894271013697498868,
+  0.00003934732031627159948068988
+};
+
+static const double g_18[18] = { 0.00003934732031627159948068988,
+  0.00025196318894271013697498868,
+  0.00023038576352319596720521639,
+  -0.00184764688305622647661912949,
+  -0.00428150368246342983449679500,
+  0.00472320475775139727792570785,
+  0.02236166212367909720537378270,
+  -0.00025094711483145195758718975,
+  -0.06763282906132997367564227483,
+  -0.03072568147933337921231740072,
+  0.14854074933810638013507271751,
+  0.09684078322297646051350813354,
+  -0.29327378327917490880640319524,
+  -0.13319738582500757619095494590,
+  0.65728807805130053807821263905,
+  -0.60482312369011111190307686743,
+  0.24383467461259035373204158165,
+  -0.03807794736387834658869765888
+};
+
+static const double h_20[20] = { 0.02667005790055555358661744877,
+  0.18817680007769148902089297368,
+  0.52720118893172558648174482796,
+  0.68845903945360356574187178255,
+  0.28117234366057746074872699845,
+  -0.24984642432731537941610189792,
+  -0.19594627437737704350429925432,
+  0.12736934033579326008267723320,
+  0.09305736460357235116035228984,
+  -0.07139414716639708714533609308,
+  -0.02945753682187581285828323760,
+  0.03321267405934100173976365318,
+  0.00360655356695616965542329142,
+  -0.01073317548333057504431811411,
+  0.00139535174705290116578931845,
+  0.00199240529518505611715874224,
+  -0.00068585669495971162656137098,
+  -0.00011646685512928545095148097,
+  0.00009358867032006959133405013,
+  -0.00001326420289452124481243668
+};
+
+static const double g_20[20] = { -0.00001326420289452124481243668,
+  -0.00009358867032006959133405013,
+  -0.00011646685512928545095148097,
+  0.00068585669495971162656137098,
+  0.00199240529518505611715874224,
+  -0.00139535174705290116578931845,
+  -0.01073317548333057504431811411,
+  -0.00360655356695616965542329142,
+  0.03321267405934100173976365318,
+  0.02945753682187581285828323760,
+  -0.07139414716639708714533609308,
+  -0.09305736460357235116035228984,
+  0.12736934033579326008267723320,
+  0.19594627437737704350429925432,
+  -0.24984642432731537941610189792,
+  -0.28117234366057746074872699845,
+  0.68845903945360356574187178255,
+  -0.52720118893172558648174482796,
+  0.18817680007769148902089297368,
+  -0.02667005790055555358661744877
+};
+
+static int
+daubechies_init (const double **h1, const double **g1, const double **h2,
+                 const double **g2, size_t * nc, size_t * offset,
+                 size_t member)
+{
+  switch (member)
+    {
+    case 4:
+      *h1 = h_4;
+      *g1 = g_4;
+      *h2 = h_4;
+      *g2 = g_4;
+      break;
+
+    case 6:
+      *h1 = h_6;
+      *g1 = g_6;
+      *h2 = h_6;
+      *g2 = g_6;
+      break;
+
+    case 8:
+      *h1 = h_8;
+      *g1 = g_8;
+      *h2 = h_8;
+      *g2 = g_8;
+      break;
+
+    case 10:
+      *h1 = h_10;
+      *g1 = g_10;
+      *h2 = h_10;
+      *g2 = g_10;
+      break;
+
+    case 12:
+      *h1 = h_12;
+      *g1 = g_12;
+      *h2 = h_12;
+      *g2 = g_12;
+      break;
+
+    case 14:
+      *h1 = h_14;
+      *g1 = g_14;
+      *h2 = h_14;
+      *g2 = g_14;
+      break;
+
+    case 16:
+      *h1 = h_16;
+      *g1 = g_16;
+      *h2 = h_16;
+      *g2 = g_16;
+      break;
+
+    case 18:
+      *h1 = h_18;
+      *g1 = g_18;
+      *h2 = h_18;
+      *g2 = g_18;
+      break;
+
+    case 20:
+      *h1 = h_20;
+      *g1 = g_20;
+      *h2 = h_20;
+      *g2 = g_20;
+      break;
+
+    default:
+      return GSL_FAILURE;
+    }
+
+  *nc = member;
+  *offset = 0;
+
+  return GSL_SUCCESS;
+}
+
+static int
+daubechies_centered_init (const double **h1, const double **g1,
+                          const double **h2, const double **g2, size_t * nc,
+                          size_t * offset, size_t member)
+{
+  switch (member)
+    {
+    case 4:
+      *h1 = h_4;
+      *g1 = g_4;
+      *h2 = h_4;
+      *g2 = g_4;
+      break;
+
+    case 6:
+      *h1 = h_6;
+      *g1 = g_6;
+      *h2 = h_6;
+      *g2 = g_6;
+      break;
+
+    case 8:
+      *h1 = h_8;
+      *g1 = g_8;
+      *h2 = h_8;
+      *g2 = g_8;
+      break;
+
+    case 10:
+      *h1 = h_10;
+      *g1 = g_10;
+      *h2 = h_10;
+      *g2 = g_10;
+      break;
+
+    case 12:
+      *h1 = h_12;
+      *g1 = g_12;
+      *h2 = h_12;
+      *g2 = g_12;
+      break;
+
+    case 14:
+      *h1 = h_14;
+      *g1 = g_14;
+      *h2 = h_14;
+      *g2 = g_14;
+      break;
+
+    case 16:
+      *h1 = h_16;
+      *g1 = g_16;
+      *h2 = h_16;
+      *g2 = g_16;
+      break;
+
+    case 18:
+      *h1 = h_18;
+      *g1 = g_18;
+      *h2 = h_18;
+      *g2 = g_18;
+      break;
+
+    case 20:
+      *h1 = h_20;
+      *g1 = g_20;
+      *h2 = h_20;
+      *g2 = g_20;
+      break;
+
+    default:
+      return GSL_FAILURE;
+    }
+
+  *nc = member;
+  *offset = (member >> 1);
+
+  return GSL_SUCCESS;
+}
+
+static const gsl_wavelet_type daubechies_type = {
+  "daubechies",
+  &daubechies_init
+};
+
+static const gsl_wavelet_type daubechies_centered_type = { 
+  "daubechies-centered",
+  &daubechies_centered_init
+};
+
+const gsl_wavelet_type *gsl_wavelet_daubechies = &daubechies_type;
+const gsl_wavelet_type *gsl_wavelet_daubechies_centered =
+  &daubechies_centered_type;