| /* 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()); |
| } |