summaryrefslogtreecommitdiff
path: root/gsl-1.9/interpolation/test.c
diff options
context:
space:
mode:
Diffstat (limited to 'gsl-1.9/interpolation/test.c')
-rw-r--r--gsl-1.9/interpolation/test.c949
1 files changed, 949 insertions, 0 deletions
diff --git a/gsl-1.9/interpolation/test.c b/gsl-1.9/interpolation/test.c
new file mode 100644
index 0000000..feb01d5
--- /dev/null
+++ b/gsl-1.9/interpolation/test.c
@@ -0,0 +1,949 @@
+/* interpolation/test.c
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
+ *
+ * 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.
+ */
+
+
+/* Author: G. Jungman
+ */
+#include <config.h>
+#include <stddef.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <gsl/gsl_test.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_interp.h>
+#include <gsl/gsl_ieee_utils.h>
+
+int
+test_bsearch(void)
+{
+ double x_array[5] = { 0.0, 1.0, 2.0, 3.0, 4.0 };
+ size_t index_result;
+ int status = 0;
+ int s;
+
+ /* check an interior point */
+ index_result = gsl_interp_bsearch(x_array, 1.5, 0, 4);
+ s = (index_result != 1);
+ status += s;
+ gsl_test (s, "simple bsearch");
+
+ /* check that we get the last interval if x == last value */
+ index_result = gsl_interp_bsearch(x_array, 4.0, 0, 4);
+ s = (index_result != 3);
+ status += s;
+ gsl_test (s, "upper endpoint bsearch");
+
+ /* check that we get the first interval if x == first value */
+ index_result = gsl_interp_bsearch(x_array, 0.0, 0, 4);
+ s = (index_result != 0);
+ status += s;
+ gsl_test (s, "lower endpoint bsearch");
+
+ /* check that we get correct interior boundary behaviour */
+ index_result = gsl_interp_bsearch(x_array, 2.0, 0, 4);
+ s = (index_result != 2);
+ status += s;
+ gsl_test (s, "degenerate bsearch");
+
+ /* check out of bounds above */
+ index_result = gsl_interp_bsearch(x_array, 10.0, 0, 4);
+ s = (index_result != 3);
+ status += s;
+ gsl_test (s, "out of bounds bsearch +");
+
+ /* check out of bounds below */
+ index_result = gsl_interp_bsearch(x_array, -10.0, 0, 4);
+ s = (index_result != 0);
+ status += s;
+ gsl_test (s, "out of bounds bsearch -");
+
+ return status;
+}
+
+
+
+typedef double TEST_FUNC (double);
+typedef struct _xy_table xy_table;
+
+struct _xy_table
+ {
+ double * x;
+ double * y;
+ size_t n;
+ };
+
+xy_table make_xy_table (double x[], double y[], size_t n);
+
+xy_table
+make_xy_table (double x[], double y[], size_t n)
+{
+ xy_table t;
+ t.x = x;
+ t.y = y;
+ t.n = n;
+ return t;
+}
+
+static int
+test_interp (
+ const xy_table * data_table,
+ const gsl_interp_type * T,
+ xy_table * test_table,
+ xy_table * test_d_table,
+ xy_table * test_i_table
+ )
+{
+ int status = 0, s1, s2, s3;
+ size_t i;
+
+ gsl_interp_accel *a = gsl_interp_accel_alloc ();
+ gsl_interp *interp = gsl_interp_alloc (T, data_table->n);
+
+ gsl_interp_init (interp, data_table->x, data_table->y, data_table->n);
+
+ for (i = 0; i < test_table->n; i++)
+ {
+ double x = test_table->x[i];
+ double y;
+ double deriv;
+ double integ;
+ double diff_y, diff_deriv, diff_integ;
+ s1 = gsl_interp_eval_e (interp, data_table->x, data_table->y, x, a, &y);
+ s2 = gsl_interp_eval_deriv_e (interp, data_table->x, data_table->y, x, a, &deriv);
+ s3 = gsl_interp_eval_integ_e (interp, data_table->x, data_table->y, test_table->x[0], x, a, &integ);
+
+ gsl_test (s1, "gsl_interp_eval_e %s", gsl_interp_name(interp));
+ gsl_test (s2, "gsl_interp_eval_deriv_e %s", gsl_interp_name(interp));
+ gsl_test (s3, "gsl_interp_eval_integ_e %s", gsl_interp_name(interp));
+
+ gsl_test_abs (y, test_table->y[i], 1e-10, "%s %d", gsl_interp_name(interp), i);
+ gsl_test_abs (deriv, test_d_table->y[i], 1e-10, "%s deriv %d", gsl_interp_name(interp), i);
+ gsl_test_abs (integ, test_i_table->y[i], 1e-10, "%s integ %d", gsl_interp_name(interp), i);
+
+ diff_y = y - test_table->y[i];
+ diff_deriv = deriv - test_d_table->y[i];
+ diff_integ = integ - test_i_table->y[i];
+ if (fabs (diff_y) > 1.e-10 || fabs(diff_deriv) > 1.0e-10 || fabs(diff_integ) > 1.0e-10) {
+ status++;
+ }
+ }
+
+ gsl_interp_accel_free (a);
+ gsl_interp_free (interp);
+
+ return status;
+}
+
+static int
+test_linear (void)
+{
+ int s;
+
+ double data_x[4] = { 0.0, 1.0, 2.0, 3.0 };
+ double data_y[4] = { 0.0, 1.0, 2.0, 3.0 };
+ double test_x[6] = { 0.0, 0.5, 1.0, 1.5, 2.5, 3.0 };
+ double test_y[6] = { 0.0, 0.5, 1.0, 1.5, 2.5, 3.0 };
+ double test_dy[6] = { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 };
+ double test_iy[6] = { 0.0, 0.125, 0.5, 9.0/8.0, 25.0/8.0, 9.0/2.0 };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 4);
+ xy_table test_table = make_xy_table(test_x, test_y, 6);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 6);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 6);
+
+ s = test_interp (&data_table, gsl_interp_linear, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "linear interpolation");
+ return s;
+}
+
+static int
+test_polynomial (void)
+{
+ int s;
+
+ double data_x[4] = { 0.0, 1.0, 2.0, 3.0 };
+ double data_y[4] = { 0.0, 1.0, 2.0, 3.0 };
+ double test_x[6] = { 0.0, 0.5, 1.0, 1.5, 2.5, 3.0 };
+ double test_y[6] = { 0.0, 0.5, 1.0, 1.5, 2.5, 3.0 };
+ double test_dy[6] = { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 };
+ double test_iy[6] = { 0.0, 0.125, 0.5, 9.0/8.0, 25.0/8.0, 9.0/2.0 };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 4);
+ xy_table test_table = make_xy_table(test_x, test_y, 6);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 6);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 6);
+
+ s = test_interp (&data_table, gsl_interp_polynomial, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "polynomial interpolation");
+ return s;
+}
+
+
+static int
+test_cspline (void)
+{
+ int s;
+
+ double data_x[3] = { 0.0, 1.0, 2.0 };
+ double data_y[3] = { 0.0, 1.0, 2.0 };
+ double test_x[4] = { 0.0, 0.5, 1.0, 2.0 };
+ double test_y[4] = { 0.0, 0.5, 1.0, 2.0 };
+ double test_dy[4] = { 1.0, 1.0, 1.0, 1.0 };
+ double test_iy[4] = { 0.0, 0.125, 0.5, 2.0 };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 3);
+ xy_table test_table = make_xy_table(test_x, test_y, 4);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 4);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 4);
+
+ s = test_interp (&data_table, gsl_interp_cspline, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "cspline interpolation");
+ return s;
+}
+
+static int
+test_cspline2 (void)
+{
+ /* Test taken from Young & Gregory, A Survey of Numerical
+ Mathematics, Vol 1 Chapter 6.8 */
+
+ int s;
+
+ double data_x[6] = { 0.0, 0.2, 0.4, 0.6, 0.8, 1.0 };
+
+ double data_y[6] = { 1.0,
+ 0.961538461538461, 0.862068965517241,
+ 0.735294117647059, 0.609756097560976,
+ 0.500000000000000 } ;
+
+ double test_x[50] = {
+ 0.00, 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18,
+ 0.20, 0.22, 0.24, 0.26, 0.28, 0.30, 0.32, 0.34, 0.36, 0.38,
+ 0.40, 0.42, 0.44, 0.46, 0.48, 0.50, 0.52, 0.54, 0.56, 0.58,
+ 0.60, 0.62, 0.64, 0.66, 0.68, 0.70, 0.72, 0.74, 0.76, 0.78,
+ 0.80, 0.82, 0.84, 0.86, 0.88, 0.90, 0.92, 0.94, 0.96, 0.98 };
+
+ double test_y[50] = {
+ 1.000000000000000, 0.997583282975581, 0.995079933416512,
+ 0.992403318788142, 0.989466806555819, 0.986183764184894,
+ 0.982467559140716, 0.978231558888635, 0.973389130893999,
+ 0.967853642622158, 0.961538461538461, 0.954382579685350,
+ 0.946427487413627, 0.937740299651188, 0.928388131325928,
+ 0.918438097365742, 0.907957312698524, 0.897012892252170,
+ 0.885671950954575, 0.874001603733634, 0.862068965517241,
+ 0.849933363488199, 0.837622973848936, 0.825158185056786,
+ 0.812559385569085, 0.799846963843167, 0.787041308336369,
+ 0.774162807506023, 0.761231849809467, 0.748268823704033,
+ 0.735294117647059, 0.722328486073082, 0.709394147325463,
+ 0.696513685724764, 0.683709685591549, 0.671004731246381,
+ 0.658421407009825, 0.645982297202442, 0.633709986144797,
+ 0.621627058157454, 0.609756097560976, 0.598112015427308,
+ 0.586679029833925, 0.575433685609685, 0.564352527583445,
+ 0.553412100584061, 0.542588949440392, 0.531859618981294,
+ 0.521200654035625, 0.510588599432241};
+
+ double test_dy[50] = {
+ -0.120113913432180, -0.122279726798445, -0.128777166897241,
+ -0.139606233728568, -0.154766927292426, -0.174259247588814,
+ -0.198083194617734, -0.226238768379184, -0.258725968873165,
+ -0.295544796099676, -0.336695250058719, -0.378333644186652,
+ -0.416616291919835, -0.451543193258270, -0.483114348201955,
+ -0.511329756750890, -0.536189418905076, -0.557693334664512,
+ -0.575841504029200, -0.590633926999137, -0.602070603574326,
+ -0.611319695518765, -0.619549364596455, -0.626759610807396,
+ -0.632950434151589, -0.638121834629033, -0.642273812239728,
+ -0.645406366983674, -0.647519498860871, -0.648613207871319,
+ -0.648687494015019, -0.647687460711257, -0.645558211379322,
+ -0.642299746019212, -0.637912064630930, -0.632395167214473,
+ -0.625749053769843, -0.617973724297039, -0.609069178796061,
+ -0.599035417266910, -0.587872439709585, -0.576731233416743,
+ -0.566762785681043, -0.557967096502484, -0.550344165881066,
+ -0.543893993816790, -0.538616580309654, -0.534511925359660,
+ -0.531580028966807, -0.529820891131095};
+
+ double test_iy[50] = {
+ 0.000000000000000, 0.019975905023535, 0.039902753768792,
+ 0.059777947259733, 0.079597153869625, 0.099354309321042,
+ 0.119041616685866, 0.138649546385285, 0.158166836189794,
+ 0.177580491219196, 0.196875783942601, 0.216036382301310,
+ 0.235045759060558, 0.253888601161251, 0.272550937842853,
+ 0.291020140643388, 0.309284923399436, 0.327335342246135,
+ 0.345162795617181, 0.362760024244829, 0.380121111159890,
+ 0.397241442753010, 0.414117280448683, 0.430745332379281,
+ 0.447122714446318, 0.463246950320456, 0.479115971441505,
+ 0.494728117018421, 0.510082134029305, 0.525177177221407,
+ 0.540012809111123, 0.554589001813881, 0.568906157172889,
+ 0.582965126887879, 0.596767214344995, 0.610314174616794,
+ 0.623608214462242, 0.636651992326715, 0.649448618342004,
+ 0.662001654326309, 0.674315113784241, 0.686393423540581,
+ 0.698241001711602, 0.709861835676399, 0.721259443710643,
+ 0.732436874986582, 0.743396709573044, 0.754141058435429,
+ 0.764671563435718, 0.774989397332469 };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 6);
+ xy_table test_table = make_xy_table(test_x, test_y, 50);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 50);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 50);
+
+ s = test_interp (&data_table, gsl_interp_cspline, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "cspline 1/(1+x^2) interpolation");
+ return s;
+}
+
+static int
+test_cspline3 (void)
+{
+ /* This data has been chosen to be random (uneven spacing in x and y)
+ and the exact cubic spine solution computed using Octave */
+
+ int s;
+
+ double data_x[7] = {
+ -1.2139767065644265,
+ -0.792590494453907,
+ -0.250954683125019,
+ 0.665867809951305,
+ 0.735655088722706,
+ 0.827622053027153,
+ 1.426592227816582
+ };
+
+ double data_y[7] = {
+ -0.00453877449035645,
+ 0.49763182550668716,
+ 0.17805472016334534,
+ 0.40514493733644485,
+ -0.21595209836959839,
+ 0.47405586764216423,
+ 0.46561462432146072
+ } ;
+
+ double test_x[19] = {
+ -1.2139767065644265,
+ -1.0735146358609200,
+ -0.9330525651574135,
+ -0.7925904944539071,
+ -0.6120452240109444,
+ -0.4314999535679818,
+ -0.2509546831250191,
+ 0.0546528145670890,
+ 0.3602603122591972,
+ 0.6658678099513053,
+ 0.6891302362084388,
+ 0.7123926624655723,
+ 0.7356550887227058,
+ 0.7663107434908548,
+ 0.7969663982590039,
+ 0.8276220530271530,
+ 1.0272787779569625,
+ 1.2269355028867721,
+ 1.4265922278165817,
+ };
+
+ double test_y[19] = {
+ -0.00453877449035645,
+ 0.25816917628390590,
+ 0.44938881397673230,
+ 0.49763182550668716,
+ 0.31389980410075147,
+ 0.09948951681196887,
+ 0.17805472016334534,
+ 1.27633142487980233,
+ 2.04936553432792001,
+ 0.40514493733644485,
+ 0.13322324792901385,
+ -0.09656315924697809,
+ -0.21595209836959839,
+ -0.13551147728045118,
+ 0.13466779030061801,
+ 0.47405586764216423,
+ 1.68064089899304370,
+ 1.43594739539458649,
+ 0.46561462432146072
+ };
+
+ double test_dy[19] = {
+ 1.955137555965937,
+ 1.700662049790549,
+ 0.937235531264386,
+ -0.335141999612553,
+ -1.401385073563169,
+ -0.674982149482761,
+ 1.844066772628670,
+ 4.202528085784793,
+ -0.284432022227558,
+ -11.616813551408383,
+ -11.272731243226174,
+ -7.994209291156876,
+ -1.781247695200491,
+ 6.373970868827501,
+ 10.597456848997197,
+ 10.889210245308570,
+ 1.803124267866902,
+ -3.648527318598099,
+ -5.465744514086432,
+ };
+
+ double test_iy[19] = {
+ 0.000000000000000,
+ 0.018231117234914,
+ 0.069178822023139,
+ 0.137781019634897,
+ 0.213936442847744,
+ 0.249280997744777,
+ 0.267492946016120,
+ 0.471372708120518,
+ 1.014473660088477,
+ 1.477731933018837,
+ 1.483978291717981,
+ 1.484256847945450,
+ 1.480341742628893,
+ 1.474315901028282,
+ 1.473972210647307,
+ 1.483279773396950,
+ 1.728562698140330,
+ 2.057796448999396,
+ 2.253662886537457,
+ };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 7);
+ xy_table test_table = make_xy_table(test_x, test_y, 19);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 19);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 19);
+
+ s = test_interp (&data_table, gsl_interp_cspline, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "cspline arbitrary data interpolation");
+ return s;
+}
+
+static int
+test_csplinep (void)
+{
+ /* This data has been chosen to be random (uneven spacing in x and y)
+ and the exact cubic spine solution computed using Octave */
+
+ int s;
+
+ double data_x[11] = {
+ 0.000000000000000,
+ 0.130153674349869,
+ 0.164545962312740,
+ 0.227375461261537,
+ 0.256465324353657,
+ 0.372545206874658,
+ 0.520820016781720,
+ 0.647654717733075,
+ 0.753429306654340,
+ 0.900873984827658,
+ 1.000000000000000,
+ };
+
+ double data_y[11] = {
+ 0.000000000000000,
+ 0.729629261832041,
+ 0.859286331568207,
+ 0.989913099419008,
+ 0.999175006262120,
+ 0.717928599519215,
+ -0.130443237213363,
+ -0.800267961158980,
+ -0.999767873040527,
+ -0.583333769240853,
+ -0.000000000000000,
+ } ;
+
+ double test_x[31] = {
+ 0.000000000000000,
+ 0.043384558116623,
+ 0.086769116233246,
+ 0.130153674349869,
+ 0.141617770337492,
+ 0.153081866325116,
+ 0.164545962312740,
+ 0.185489128629005,
+ 0.206432294945271,
+ 0.227375461261537,
+ 0.237072082292243,
+ 0.246768703322951,
+ 0.256465324353657,
+ 0.295158618527324,
+ 0.333851912700991,
+ 0.372545206874658,
+ 0.421970143510346,
+ 0.471395080146033,
+ 0.520820016781720,
+ 0.563098250432172,
+ 0.605376484082623,
+ 0.647654717733075,
+ 0.682912914040164,
+ 0.718171110347252,
+ 0.753429306654340,
+ 0.802577532712113,
+ 0.851725758769885,
+ 0.900873984827658,
+ 0.933915989885105,
+ 0.966957994942553,
+ 1.000000000000000
+ };
+
+ double test_y[31] = {
+ 0.000000000000000,
+ 0.268657574670719,
+ 0.517940878523929,
+ 0.729629261832041,
+ 0.777012551497867,
+ 0.820298314554859,
+ 0.859286331568207,
+ 0.918833991960315,
+ 0.962624749226346,
+ 0.989913099419008,
+ 0.996756196601349,
+ 0.999858105635752,
+ 0.999175006262120,
+ 0.959248551766306,
+ 0.863713527741856,
+ 0.717928599519215,
+ 0.470065187871106,
+ 0.177694938589523,
+ -0.130443237213363,
+ -0.385093922365765,
+ -0.613840011545983,
+ -0.800267961158980,
+ -0.912498361131651,
+ -0.980219217412290,
+ -0.999767873040528,
+ -0.943635958253643,
+ -0.800314354800596,
+ -0.583333769240853,
+ -0.403689914131666,
+ -0.206151346799382,
+ -0.000000000000000
+ };
+
+ double test_dy[31] = {
+ 6.275761975917336,
+ 6.039181349093287,
+ 5.382620652895025,
+ 4.306079887322550,
+ 3.957389777282752,
+ 3.591234754612763,
+ 3.207614819312586,
+ 2.473048186927024,
+ 1.702885029353488,
+ 0.897125346591982,
+ 0.513561009477969,
+ 0.125477545550710,
+ -0.267125045189792,
+ -1.773533414873785,
+ -3.141450982859891,
+ -4.370877749148106,
+ -5.562104227060234,
+ -6.171864888961167,
+ -6.200159734850907,
+ -5.781556055213110,
+ -4.974725570010514,
+ -3.779668279243120,
+ -2.569220222282655,
+ -1.254891157670244,
+ 0.163318914594122,
+ 2.074985916277011,
+ 3.711348850147548,
+ 5.072407716205733,
+ 5.754438923510391,
+ 6.155557010080926,
+ 6.275761975917336
+ };
+
+ double test_iy[31] = {
+ 0.000000000000000,
+ 0.005864903144198,
+ 0.023030998930796,
+ 0.050262495763030,
+ 0.058902457844100,
+ 0.068062330564832,
+ 0.077693991819461,
+ 0.096340576055474,
+ 0.116070578226521,
+ 0.136546192283223,
+ 0.146181187290769,
+ 0.155864434185569,
+ 0.165559443629720,
+ 0.203636318965633,
+ 0.239075190181586,
+ 0.269828050745236,
+ 0.299428805999600,
+ 0.315560685785616,
+ 0.316734151903742,
+ 0.305773798930857,
+ 0.284537037103156,
+ 0.254466034797342,
+ 0.224146112780097,
+ 0.190643050847000,
+ 0.155590744566140,
+ 0.107448508851745,
+ 0.064263083957312,
+ 0.029987183298960,
+ 0.013618510529526,
+ 0.003506827320794,
+ 0.000090064010007,
+ };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 11);
+ xy_table test_table = make_xy_table(test_x, test_y, 31);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 31);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 31);
+
+ s = test_interp (&data_table, gsl_interp_cspline_periodic, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "cspline periodic sine interpolation");
+ return s;
+}
+
+static int
+test_csplinep2 (void)
+{
+ /* This data tests the periodic case n=3 */
+
+ int s;
+
+ double data_x[3] = {
+ 0.123,
+ 0.423,
+ 1.123
+ };
+
+ double data_y[3] = {
+ 0.456000000000000,
+ 1.407056516295154,
+ 0.456000000000000
+ } ;
+
+ double test_x[61] = {
+ 0.123000000000000,
+ 0.133000000000000,
+ 0.143000000000000,
+ 0.153000000000000,
+ 0.163000000000000,
+ 0.173000000000000,
+ 0.183000000000000,
+ 0.193000000000000,
+ 0.203000000000000,
+ 0.213000000000000,
+ 0.223000000000000,
+ 0.233000000000000,
+ 0.243000000000000,
+ 0.253000000000000,
+ 0.263000000000000,
+ 0.273000000000000,
+ 0.283000000000000,
+ 0.293000000000000,
+ 0.303000000000000,
+ 0.313000000000000,
+ 0.323000000000000,
+ 0.333000000000000,
+ 0.343000000000000,
+ 0.353000000000000,
+ 0.363000000000000,
+ 0.373000000000000,
+ 0.383000000000000,
+ 0.393000000000000,
+ 0.403000000000000,
+ 0.413000000000000,
+ 0.423000000000000,
+ 0.446333333333333,
+ 0.469666666666667,
+ 0.493000000000000,
+ 0.516333333333333,
+ 0.539666666666667,
+ 0.563000000000000,
+ 0.586333333333333,
+ 0.609666666666667,
+ 0.633000000000000,
+ 0.656333333333333,
+ 0.679666666666667,
+ 0.703000000000000,
+ 0.726333333333333,
+ 0.749666666666667,
+ 0.773000000000000,
+ 0.796333333333333,
+ 0.819666666666667,
+ 0.843000000000000,
+ 0.866333333333333,
+ 0.889666666666667,
+ 0.913000000000000,
+ 0.936333333333333,
+ 0.959666666666667,
+ 0.983000000000000,
+ 1.006333333333333,
+ 1.029666666666667,
+ 1.053000000000000,
+ 1.076333333333333,
+ 1.099666666666667,
+ 1.123000000000000
+ };
+
+ double test_y[61] = {
+ 0.456000000000000,
+ 0.475443822110923,
+ 0.497423794931967,
+ 0.521758764840979,
+ 0.548267578215809,
+ 0.576769081434305,
+ 0.607082120874316,
+ 0.639025542913690,
+ 0.672418193930275,
+ 0.707078920301921,
+ 0.742826568406475,
+ 0.779479984621787,
+ 0.816858015325704,
+ 0.854779506896076,
+ 0.893063305710751,
+ 0.931528258147577,
+ 0.969993210584403,
+ 1.008277009399078,
+ 1.046198500969450,
+ 1.083576531673367,
+ 1.120229947888679,
+ 1.155977595993233,
+ 1.190638322364879,
+ 1.224030973381464,
+ 1.255974395420838,
+ 1.286287434860848,
+ 1.314788938079344,
+ 1.341297751454174,
+ 1.365632721363187,
+ 1.387612694184230,
+ 1.407056516295154,
+ 1.442092968697928,
+ 1.463321489456714,
+ 1.471728359403224,
+ 1.468299859369172,
+ 1.454022270186272,
+ 1.429881872686237,
+ 1.396864947700781,
+ 1.355957776061616,
+ 1.308146638600458,
+ 1.254417816149018,
+ 1.195757589539010,
+ 1.133152239602149,
+ 1.067588047170148,
+ 1.000051293074719,
+ 0.931528258147577,
+ 0.863005223220435,
+ 0.795468469125006,
+ 0.729904276693004,
+ 0.667298926756143,
+ 0.608638700146136,
+ 0.554909877694696,
+ 0.507098740233537,
+ 0.466191568594372,
+ 0.433174643608916,
+ 0.409034246108881,
+ 0.394756656925981,
+ 0.391328156891929,
+ 0.399735026838439,
+ 0.420963547597225,
+ 0.456000000000000
+ };
+
+ double test_dy[61] = {
+ 1.8115362215145774,
+ 2.0742089736341924,
+ 2.3187663635386602,
+ 2.5452083912279826,
+ 2.7535350567021584,
+ 2.9437463599611897,
+ 3.1158423010050744,
+ 3.2698228798338147,
+ 3.4056880964474079,
+ 3.5234379508458549,
+ 3.6230724430291570,
+ 3.7045915729973125,
+ 3.7679953407503231,
+ 3.8132837462881874,
+ 3.8404567896109061,
+ 3.8495144707184790,
+ 3.8404567896109061,
+ 3.8132837462881874,
+ 3.7679953407503231,
+ 3.7045915729973125,
+ 3.6230724430291565,
+ 3.5234379508458549,
+ 3.4056880964474074,
+ 3.2698228798338147,
+ 3.1158423010050749,
+ 2.9437463599611897,
+ 2.7535350567021584,
+ 2.5452083912279830,
+ 2.3187663635386597,
+ 2.0742089736341924,
+ 1.8115362215145772,
+ 1.1986331332354823,
+ 0.6279992234583869,
+ 0.0996344921833026,
+ -0.3864610605897765,
+ -0.8302874348608467,
+ -1.2318446306299125,
+ -1.5911326478969707,
+ -1.9081514866620208,
+ -2.1829011469250670,
+ -2.4153816286861041,
+ -2.6055929319451341,
+ -2.7535350567021584,
+ -2.8592080029571765,
+ -2.9226117707101862,
+ -2.9437463599611893,
+ -2.9226117707101862,
+ -2.8592080029571760,
+ -2.7535350567021593,
+ -2.6055929319451354,
+ -2.4153816286861045,
+ -2.1829011469250656,
+ -1.9081514866620242,
+ -1.5911326478969716,
+ -1.2318446306299160,
+ -0.8302874348608498,
+ -0.3864610605897769,
+ 0.0996344921832995,
+ 0.6279992234583824,
+ 1.1986331332354769,
+ 1.8115362215145772
+ };
+
+ double test_iy[61] = {
+ 0.000000000000000,
+ 0.004655030170954,
+ 0.009517330277919,
+ 0.014611356059886,
+ 0.019959751719625,
+ 0.025583349923681,
+ 0.031501171802382,
+ 0.037730426949832,
+ 0.044286513423914,
+ 0.051183017746288,
+ 0.058431714902395,
+ 0.066042568341453,
+ 0.074023729976459,
+ 0.082381540184189,
+ 0.091120527805195,
+ 0.100243410143811,
+ 0.109751092968147,
+ 0.119642670510092,
+ 0.129915425465314,
+ 0.140564828993259,
+ 0.151584540717153,
+ 0.162966408723997,
+ 0.174700469564574,
+ 0.186774948253444,
+ 0.199176258268946,
+ 0.211889001553197,
+ 0.224895968512091,
+ 0.238178138015305,
+ 0.251714677396289,
+ 0.265482942452275,
+ 0.279458477444273,
+ 0.312726362409309,
+ 0.346648754292945,
+ 0.380914974633193,
+ 0.415237358187469,
+ 0.449351252932597,
+ 0.483015020064806,
+ 0.516010033999735,
+ 0.548140682372425,
+ 0.579234366037328,
+ 0.609141499068300,
+ 0.637735508758604,
+ 0.664912835620912,
+ 0.690592933387298,
+ 0.714718269009247,
+ 0.737254322657649,
+ 0.758189587722801,
+ 0.777535570814405,
+ 0.795326791761572,
+ 0.811620783612819,
+ 0.826498092636068,
+ 0.840062278318649,
+ 0.852439913367300,
+ 0.863780583708163,
+ 0.874256888486789,
+ 0.884064440068133,
+ 0.893421864036559,
+ 0.902570799195836,
+ 0.911775897569142,
+ 0.921324824399059,
+ 0.931528258147577
+ };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 3);
+ xy_table test_table = make_xy_table(test_x, test_y, 61);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 61);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 61);
+
+ s = test_interp (&data_table, gsl_interp_cspline_periodic, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "cspline periodic 3pt interpolation");
+ return s;
+}
+
+
+
+static int
+test_akima (void)
+{
+ int s;
+
+ double data_x[5] = { 0.0, 1.0, 2.0, 3.0, 4.0 };
+ double data_y[5] = { 0.0, 1.0, 2.0, 3.0, 4.0 };
+ double test_x[4] = { 0.0, 0.5, 1.0, 2.0 };
+ double test_y[4] = { 0.0, 0.5, 1.0, 2.0 };
+ double test_dy[4] = { 1.0, 1.0, 1.0, 1.0 };
+ double test_iy[4] = { 0.0, 0.125, 0.5, 2.0 };
+
+ xy_table data_table = make_xy_table(data_x, data_y, 5);
+ xy_table test_table = make_xy_table(test_x, test_y, 4);
+ xy_table test_d_table = make_xy_table(test_x, test_dy, 4);
+ xy_table test_i_table = make_xy_table(test_x, test_iy, 4);
+
+ s = test_interp (&data_table, gsl_interp_akima, &test_table, &test_d_table, &test_i_table);
+ gsl_test (s, "akima interpolation");
+ return s;
+}
+
+
+int
+main (int argc, char **argv)
+{
+ int status = 0;
+
+ gsl_ieee_env_setup ();
+
+ argc = 0; /* prevent warnings about unused parameters */
+ argv = 0;
+
+ status += test_bsearch();
+ status += test_linear();
+ status += test_polynomial();
+ status += test_cspline();
+ status += test_cspline2();
+ status += test_cspline3();
+ status += test_csplinep();
+ status += test_csplinep2();
+ status += test_akima();
+
+ exit (gsl_test_summary());
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-01 12:08:24 +0000