From 5ea4df3f0822e3253ca17d9640629ca2ecf84b0e Mon Sep 17 00:00:00 2001 From: Raoul Bourquin Date: Wed, 30 Sep 2015 17:02:15 +0200 Subject: [PATCH 1/3] Generalize table builder --- scripts/create_tables.py | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/scripts/create_tables.py b/scripts/create_tables.py index 50d4130..7e1c255 100755 --- a/scripts/create_tables.py +++ b/scripts/create_tables.py @@ -7,20 +7,16 @@ from orthogonal import psi_roots -def generate_gausshermite(filename, maxorder=10): +def generate_gausshermite(filename, orders): f = open(filename, "w") f.write("#pragma once\n\n") f.write("// Automatically generated by scripts/create_tables.py.\n\n") f.write("#include \n\n") f.write('#include "quadrature_rule.hpp"\n\n') f.write("namespace waveblocks {\n\n") - - f.write("// Gauss-Hermite quadrature nodes and weights for different " + - "orders.\n") - # Maybe a tuple instead of vector for different order template arguments? - f.write("const std::vector" + - " gauss_hermite_rules{") - for order in xrange(1, maxorder): + f.write("// Gauss-Hermite quadrature nodes and weights for different orders.\n") + f.write("const std::vector gauss_hermite_rules{") + for order in orders: nodes, weights = psi_roots(order) if order > 1: f.write(",") f.write("\n QuadratureRule(" + str(order) + ", {") @@ -40,4 +36,8 @@ def generate_gausshermite(filename, maxorder=10): f.close() if __name__ == "__main__": - generate_gausshermite("../waveblocks/tables_gausshermite.hpp") + orders = (list(range(1, 25)) + + list(range(25, 100, 5)) + + list(range(100, 551, 25))) + + generate_gausshermite("../waveblocks/tables_gausshermite.hpp", orders) From fe236041dd372c0976d98dcb658e90dcf4590d51 Mon Sep 17 00:00:00 2001 From: Raoul Bourquin Date: Wed, 30 Sep 2015 17:07:02 +0200 Subject: [PATCH 2/3] Clean up header --- scripts/create_tables.py | 25 ++++++++++++++----------- 1 file changed, 14 insertions(+), 11 deletions(-) diff --git a/scripts/create_tables.py b/scripts/create_tables.py index 7e1c255..1052a48 100755 --- a/scripts/create_tables.py +++ b/scripts/create_tables.py @@ -1,21 +1,24 @@ -#!/usr/bin/python2 - """ -Generate C++ header files with tables for quadrature nodes and weights for -different orders. +Generate C++ header files with tables for quadrature nodes and weights for different orders. """ from orthogonal import psi_roots def generate_gausshermite(filename, orders): f = open(filename, "w") - f.write("#pragma once\n\n") - f.write("// Automatically generated by scripts/create_tables.py.\n\n") - f.write("#include \n\n") - f.write('#include "quadrature_rule.hpp"\n\n') - f.write("namespace waveblocks {\n\n") - f.write("// Gauss-Hermite quadrature nodes and weights for different orders.\n") - f.write("const std::vector gauss_hermite_rules{") + f.write( +"""#pragma once + +// Automatically generated by scripts/create_tables.py. + +#include + +#include "quadrature_rule.hpp" + +namespace waveblocks { + +// Gauss-Hermite quadrature nodes and weights for different orders. +const std::vector gauss_hermite_rules{""") for order in orders: nodes, weights = psi_roots(order) if order > 1: f.write(",") From ea844df8ba724a2e7c12171f720ee2e8472ae521 Mon Sep 17 00:00:00 2001 From: Raoul Bourquin Date: Wed, 30 Sep 2015 17:07:17 +0200 Subject: [PATCH 3/3] Higher-order quadrature rules --- waveblocks/tables_gausshermite.hpp | 14807 +++++++++++++++++++++++++++ 1 file changed, 14807 insertions(+) diff --git a/waveblocks/tables_gausshermite.hpp b/waveblocks/tables_gausshermite.hpp index 06577e0..0f48155 100644 --- a/waveblocks/tables_gausshermite.hpp +++ b/waveblocks/tables_gausshermite.hpp @@ -126,6 +126,14813 @@ const std::vector gauss_hermite_rules{ 0.764608125095, 0.841752701479, 1.04700358098 + }), + QuadratureRule(10, { + -3.43615911884, + -2.53273167423, + -1.7566836493, + -1.03661082979, + -0.342901327224, + 0.342901327224, + 1.03661082979, + 1.7566836493, + 2.53273167423, + 3.43615911884 + }, { + 1.02545169137, + 0.820666126405, + 0.741441931944, + 0.703296323105, + 0.687081853951, + 0.687081853951, + 0.703296323105, + 0.741441931944, + 0.820666126405, + 1.02545169137 + }), + QuadratureRule(11, { + -3.66847084656, + -2.78329009978, + -2.02594801583, + -1.32655708449, + -0.656809566882, + 0.0, + 0.656809566882, + 1.32655708449, + 2.02594801583, + 2.78329009978, + 3.66847084656 + }, { + 1.00652678617, + 0.802516868851, + 0.721953624728, + 0.681211881067, + 0.660960419441, + 0.654759286915, + 0.660960419441, + 0.681211881067, + 0.721953624728, + 0.802516868851, + 1.00652678617 + }), + QuadratureRule(12, { + -3.88972489787, + -3.02063702512, + -2.2795070805, + -1.59768263515, + -0.94778839124, + -0.314240376254, + 0.314240376254, + 0.94778839124, + 1.59768263515, + 2.2795070805, + 3.02063702512, + 3.88972489787 + }, { + 0.989699047092, + 0.786643939463, + 0.705220366112, + 0.662662773267, + 0.63962123202, + 0.629307874369, + 0.629307874369, + 0.63962123202, + 0.662662773267, + 0.705220366112, + 0.786643939463, + 0.989699047092 + }), + QuadratureRule(13, { + -4.10133759618, + -3.24660897837, + -2.51973568568, + -1.8531076516, + -1.22005503659, + -0.605763879171, + 0.0, + 0.605763879171, + 1.22005503659, + 1.8531076516, + 2.51973568568, + 3.24660897837, + 4.10133759618 + }, { + 0.97458039564, + 0.772580823352, + 0.690618034838, + 0.646759463316, + 0.621716055287, + 0.608529583703, + 0.604393187921, + 0.608529583703, + 0.621716055287, + 0.646759463316, + 0.690618034838, + 0.772580823352, + 0.97458039564 + }), + QuadratureRule(14, { + -4.30444857047, + -3.4626569336, + -2.74847072499, + -2.09518325851, + -1.47668273114, + -0.878713787329, + -0.291745510673, + 0.291745510673, + 0.878713787329, + 1.47668273114, + 2.09518325851, + 2.74847072499, + 3.4626569336, + 4.30444857047 + }, { + 0.960878703026, + 0.759987087398, + 0.677706759192, + 0.632900606472, + 0.606379739126, + 0.591106667043, + 0.584061690522, + 0.584061690522, + 0.591106667043, + 0.606379739126, + 0.632900606472, + 0.677706759192, + 0.759987087398, + 0.960878703026 + }), + QuadratureRule(15, { + -4.49999070731, + -3.6699503734, + -2.96716692791, + -2.32573248617, + -1.71999257519, + -1.13611558521, + -0.565069583256, + 0.0, + 0.565069583256, + 1.13611558521, + 1.71999257519, + 2.32573248617, + 2.96716692791, + 3.6699503734, + 4.49999070731 + }, { + 0.948368970828, + 0.748607366017, + 0.666166005109, + 0.620662603527, + 0.593027449764, + 0.576193350283, + 0.567021153447, + 0.564100308726, + 0.567021153447, + 0.576193350283, + 0.593027449764, + 0.620662603527, + 0.666166005109, + 0.748607366017, + 0.948368970828 + }), + QuadratureRule(16, { + -4.68873893931, + -3.86944790486, + -3.17699916198, + -2.54620215785, + -1.95178799092, + -1.3802585392, + -0.822951449145, + -0.273481046138, + 0.273481046138, + 0.822951449145, + 1.3802585392, + 1.95178799092, + 2.54620215785, + 3.17699916198, + 3.86944790486, + 4.68873893931 + }, { + 0.936874492884, + 0.738245622278, + 0.655755672876, + 0.609736958256, + 0.581247275401, + 0.563217829088, + 0.552441957367, + 0.547375205038, + 0.547375205038, + 0.552441957367, + 0.563217829088, + 0.581247275401, + 0.609736958256, + 0.655755672876, + 0.738245622278, + 0.936874492884 + }), + QuadratureRule(17, { + -4.87134519367, + -4.06194667588, + -3.37893209114, + -2.7577629157, + -2.17350282667, + -1.61292431422, + -1.06764872574, + -0.531633001343, + 0.0, + 0.531633001343, + 1.06764872574, + 1.61292431422, + 2.17350282667, + 2.7577629157, + 3.37893209114, + 4.06194667588, + 4.87134519367 + }, { + 0.92625413999, + 0.728748370587, + 0.646291700213, + 0.599892732668, + 0.570739294124, + 0.551777353078, + 0.539763113908, + 0.533070654574, + 0.530917937625, + 0.533070654574, + 0.539763113908, + 0.551777353078, + 0.570739294124, + 0.599892732668, + 0.646291700213, + 0.728748370587, + 0.92625413999 + }), + QuadratureRule(18, { + -5.04836400887, + -4.24811787357, + -3.57376906849, + -2.96137750553, + -2.38629908917, + -1.83553160426, + -1.30092085839, + -0.776682919267, + -0.258267750519, + 0.258267750519, + 0.776682919267, + 1.30092085839, + 1.83553160426, + 2.38629908917, + 2.96137750553, + 3.57376906849, + 4.24811787357, + 5.04836400887 + }, { + 0.916393537552, + 0.719993383105, + 0.637630172006, + 0.590953003463, + 0.56127904555, + 0.541578678662, + 0.528589442919, + 0.520634946676, + 0.516845836482, + 0.516845836482, + 0.520634946676, + 0.528589442919, + 0.541578678662, + 0.56127904555, + 0.590953003463, + 0.637630172006, + 0.719993383105, + 0.916393537552 + }), + QuadratureRule(19, { + -5.22027169054, + -4.4285328066, + -3.76218735196, + -3.15784881835, + -2.59113378979, + -2.04923170985, + -1.52417061939, + -1.01036838713, + -0.503520163424, + 0.0, + 0.503520163424, + 1.01036838713, + 1.52417061939, + 2.04923170985, + 2.59113378979, + 3.15784881835, + 3.76218735196, + 4.4285328066, + 5.22027169054 + }, { + 0.907198796093, + 0.711881874337, + 0.629656632637, + 0.582779529763, + 0.552694620967, + 0.532402360552, + 0.5186331937, + 0.509679375098, + 0.504615331352, + 0.502974888276, + 0.504615331352, + 0.509679375098, + 0.5186331937, + 0.532402360552, + 0.552694620967, + 0.582779529763, + 0.629656632637, + 0.711881874337, + 0.907198796093 + }), + QuadratureRule(20, { + -5.38748089001, + -4.60368244955, + -3.94476404012, + -3.34785456738, + -2.78880605843, + -2.25497400209, + -1.73853771212, + -1.2340762154, + -0.737473728545, + -0.245340708301, + 0.245340708301, + 0.737473728545, + 1.2340762154, + 1.73853771212, + 2.25497400209, + 2.78880605843, + 3.34785456738, + 3.94476404012, + 4.60368244955, + 5.38748089001 + }, { + 0.898591961453, + 0.704332961177, + 0.622278696191, + 0.575262442853, + 0.544851742365, + 0.524080350949, + 0.509679027117, + 0.499920871336, + 0.493843385272, + 0.490921500667, + 0.490921500667, + 0.493843385272, + 0.499920871336, + 0.509679027117, + 0.524080350949, + 0.544851742365, + 0.575262442853, + 0.622278696191, + 0.704332961177, + 0.898591961453 + }), + QuadratureRule(21, { + -5.55035187326, + -4.77399234341, + -4.12199554749, + -3.53197287714, + -2.9799912077, + -2.45355212451, + -1.94496294919, + -1.44893425065, + -0.961499634418, + -0.479450707079, + 0.0, + 0.479450707079, + 0.961499634418, + 1.44893425065, + 1.94496294919, + 2.45355212451, + 2.9799912077, + 3.53197287714, + 4.12199554749, + 4.77399234341, + 5.55035187326 + }, { + 0.890507651202, + 0.697279652275, + 0.61542081278, + 0.568313119181, + 0.537643728389, + 0.516481407493, + 0.501562042664, + 0.491147584711, + 0.48425102094, + 0.480307687532, + 0.47902370312, + 0.480307687532, + 0.48425102094, + 0.491147584711, + 0.501562042664, + 0.516481407493, + 0.537643728389, + 0.568313119181, + 0.61542081278, + 0.697279652275, + 0.890507651202 + }), + QuadratureRule(22, { + -5.70920135321, + -4.93983413106, + -4.29431248059, + -3.71070153288, + -3.1652659092, + -2.64563744106, + -2.1442335928, + -1.65587437329, + -1.17671395848, + -0.70368609717, + -0.234179139931, + 0.234179139931, + 0.70368609717, + 1.17671395848, + 1.65587437329, + 2.1442335928, + 2.64563744106, + 3.1652659092, + 3.71070153288, + 4.29431248059, + 4.93983413106, + 5.70920135321 + }, { + 0.882890526589, + 0.690665889931, + 0.60902048297, + 0.561859134291, + 0.53098455836, + 0.509501279108, + 0.49415346221, + 0.483197279614, + 0.475629428548, + 0.470858111156, + 0.468548511296, + 0.468548511296, + 0.470858111156, + 0.475629428548, + 0.483197279614, + 0.49415346221, + 0.509501279108, + 0.53098455836, + 0.561859134291, + 0.60902048297, + 0.690665889931, + 0.882890526589 + }), + QuadratureRule(23, { + -5.86430949898, + -5.10153461048, + -4.46209117374, + -3.88447270811, + -3.34512715994, + -2.83180378713, + -2.33701621147, + -1.85567703767, + -1.38403958568, + -0.919151465443, + -0.458538350068, + 0.0, + 0.458538350068, + 0.919151465443, + 1.38403958568, + 1.85567703767, + 2.33701621147, + 2.83180378713, + 3.34512715994, + 3.88447270811, + 4.46209117374, + 5.10153461048, + 5.86430949898 + }, { + 0.875693364168, + 0.684444331777, + 0.603025468158, + 0.555840614158, + 0.524803961707, + 0.50305592138, + 0.487350999721, + 0.475943257575, + 0.467818689687, + 0.462366662414, + 0.459223869398, + 0.458196585593, + 0.459223869398, + 0.462366662414, + 0.467818689687, + 0.475943257575, + 0.487350999721, + 0.50305592138, + 0.524803961707, + 0.555840614158, + 0.603025468158, + 0.684444331777, + 0.875693364168 + }), + QuadratureRule(24, { + -6.01592556143, + -5.25938292767, + -4.62566275642, + -4.05366440245, + -3.52000681303, + -3.01254613757, + -2.52388101701, + -2.04900357366, + -1.58425001096, + -1.12676081761, + -0.674171107037, + -0.224414547473, + 0.224414547473, + 0.674171107037, + 1.12676081761, + 1.58425001096, + 2.04900357366, + 2.52388101701, + 3.01254613757, + 3.52000681303, + 4.05366440245, + 4.62566275642, + 5.25938292767, + 6.01592556143 + }, { + 0.868875565092, + 0.67857466229, + 0.59739170044, + 0.550207547398, + 0.519043867583, + 0.497076692866, + 0.481072202833, + 0.469284885626, + 0.46069390963, + 0.454675477135, + 0.45084610082, + 0.448982845326, + 0.448982845326, + 0.45084610082, + 0.454675477135, + 0.46069390963, + 0.469284885626, + 0.481072202833, + 0.497076692866, + 0.519043867583, + 0.550207547398, + 0.59739170044, + 0.67857466229, + 0.868875565092 + }), + QuadratureRule(25, { + -6.16427243405, + -5.41363635528, + -4.78532036735, + -4.21860944439, + -3.690282877, + -3.18829492443, + -2.70532023717, + -2.23642013027, + -1.77800112434, + -1.32728070207, + -0.881982756214, + -0.440147298645, + 0.0, + 0.440147298645, + 0.881982756214, + 1.32728070207, + 1.77800112434, + 2.23642013027, + 2.70532023717, + 3.18829492443, + 3.690282877, + 4.21860944439, + 4.78532036735, + 5.41363635528, + 6.16427243405 + }, { + 0.862401988731, + 0.673022290222, + 0.592081693087, + 0.544917772194, + 0.513655789775, + 0.491506881888, + 0.475249738002, + 0.463141046575, + 0.454155885528, + 0.447661256587, + 0.443259189252, + 0.440705828912, + 0.439868722169, + 0.440705828912, + 0.443259189252, + 0.447661256587, + 0.454155885528, + 0.463141046575, + 0.475249738002, + 0.491506881888, + 0.513655789775, + 0.544917772194, + 0.592081693087, + 0.673022290222, + 0.862401988731 + }), + QuadratureRule(30, { + -6.86334529353, + -6.13827922012, + -5.53314715157, + -4.98891896859, + -4.48305535709, + -4.00390860386, + -3.54444387316, + 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