Mercurial > repos > public > sbplib
annotate diracDiscrTest.m @ 1311:b2e84fe336d8 feature/poroelastic
Move common code for displacement and traction BC outside of switch statement
author | Martin Almquist <malmquist@stanford.edu> |
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date | Mon, 20 Jul 2020 22:21:57 -0700 |
parents | 43a1c3ac07b1 |
children | c70131daaa6e 60c875c18de3 |
rev | line source |
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836
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
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changeset
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1 function tests = diracDiscrTest() |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
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2 tests = functiontests(localfunctions); |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
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3 end |
049e4c6fa630
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parents:
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4 |
049e4c6fa630
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parents:
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5 function testLeftGP(testCase) |
049e4c6fa630
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parents:
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6 |
049e4c6fa630
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parents:
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7 orders = [2, 4, 6]; |
049e4c6fa630
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Martin Almquist <malmquist@stanford.edu>
parents:
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8 mom_conds = orders; |
049e4c6fa630
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parents:
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9 |
049e4c6fa630
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Martin Almquist <malmquist@stanford.edu>
parents:
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10 for o = 1:length(orders) |
049e4c6fa630
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parents:
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11 order = orders(o); |
049e4c6fa630
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parents:
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12 mom_cond = mom_conds(o); |
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43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
836
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13 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
836
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parents:
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14 |
049e4c6fa630
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15 % Test left boundary grid points |
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16 x0s = xl + [0, h, 2*h]; |
049e4c6fa630
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parents:
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17 |
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18 for j = 1:length(fs) |
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19 f = fs{j}; |
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20 fx = f(x); |
049e4c6fa630
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21 for i = 1:length(x0s) |
049e4c6fa630
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22 x0 = x0s(i); |
049e4c6fa630
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23 delta = diracDiscr(x0, x, mom_cond, 0, H); |
049e4c6fa630
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parents:
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24 integral = delta'*H*fx; |
049e4c6fa630
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25 err = abs(integral - f(x0)); |
049e4c6fa630
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parents:
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26 testCase.verifyLessThan(err, 1e-12); |
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27 end |
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28 end |
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29 end |
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30 end |
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31 |
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32 function testLeftRandom(testCase) |
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33 |
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parents:
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34 orders = [2, 4, 6]; |
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parents:
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35 mom_conds = orders; |
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36 |
049e4c6fa630
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parents:
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37 for o = 1:length(orders) |
049e4c6fa630
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38 order = orders(o); |
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parents:
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39 mom_cond = mom_conds(o); |
837
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
836
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40 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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parents:
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41 |
049e4c6fa630
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parents:
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42 % Test random points near left boundary |
049e4c6fa630
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parents:
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43 x0s = xl + 2*h*rand(1,10); |
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parents:
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44 |
049e4c6fa630
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parents:
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45 for j = 1:length(fs) |
049e4c6fa630
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parents:
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46 f = fs{j}; |
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parents:
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47 fx = f(x); |
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parents:
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48 for i = 1:length(x0s) |
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49 x0 = x0s(i); |
049e4c6fa630
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parents:
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50 delta = diracDiscr(x0, x, mom_cond, 0, H); |
049e4c6fa630
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parents:
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51 integral = delta'*H*fx; |
049e4c6fa630
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parents:
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52 err = abs(integral - f(x0)); |
049e4c6fa630
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parents:
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53 testCase.verifyLessThan(err, 1e-12); |
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54 end |
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55 end |
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56 end |
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57 end |
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58 |
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59 function testRightGP(testCase) |
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60 |
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61 orders = [2, 4, 6]; |
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parents:
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62 mom_conds = orders; |
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63 |
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64 for o = 1:length(orders) |
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parents:
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65 order = orders(o); |
049e4c6fa630
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parents:
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66 mom_cond = mom_conds(o); |
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parents:
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67 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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68 |
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69 % Test right boundary grid points |
049e4c6fa630
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70 x0s = xr-[0, h, 2*h]; |
049e4c6fa630
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parents:
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71 |
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parents:
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72 for j = 1:length(fs) |
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parents:
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73 f = fs{j}; |
049e4c6fa630
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parents:
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74 fx = f(x); |
049e4c6fa630
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parents:
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75 for i = 1:length(x0s) |
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parents:
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76 x0 = x0s(i); |
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77 delta = diracDiscr(x0, x, mom_cond, 0, H); |
049e4c6fa630
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parents:
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78 integral = delta'*H*fx; |
049e4c6fa630
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parents:
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79 err = abs(integral - f(x0)); |
049e4c6fa630
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parents:
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80 testCase.verifyLessThan(err, 1e-12); |
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81 end |
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82 end |
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83 end |
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84 end |
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85 |
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86 function testRightRandom(testCase) |
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87 |
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88 orders = [2, 4, 6]; |
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parents:
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89 mom_conds = orders; |
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parents:
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90 |
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91 for o = 1:length(orders) |
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92 order = orders(o); |
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parents:
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93 mom_cond = mom_conds(o); |
837
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Martin Almquist <malmquist@stanford.edu>
parents:
836
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94 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
836
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95 |
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96 % Test random points near right boundary |
049e4c6fa630
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97 x0s = xr - 2*h*rand(1,10); |
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parents:
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98 |
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99 for j = 1:length(fs) |
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parents:
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100 f = fs{j}; |
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101 fx = f(x); |
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102 for i = 1:length(x0s) |
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103 x0 = x0s(i); |
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104 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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105 integral = delta'*H*fx; |
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106 err = abs(integral - f(x0)); |
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107 testCase.verifyLessThan(err, 1e-12); |
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108 end |
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109 end |
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110 end |
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111 end |
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112 |
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113 function testInteriorGP(testCase) |
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114 |
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115 orders = [2, 4, 6]; |
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116 mom_conds = orders; |
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117 |
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118 for o = 1:length(orders) |
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119 order = orders(o); |
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120 mom_cond = mom_conds(o); |
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121 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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122 |
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123 % Test interior grid points |
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124 m_half = round(m/2); |
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125 x0s = xl + (m_half-1:m_half+1)*h; |
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126 |
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127 for j = 1:length(fs) |
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128 f = fs{j}; |
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129 fx = f(x); |
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130 for i = 1:length(x0s) |
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131 x0 = x0s(i); |
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132 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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133 integral = delta'*H*fx; |
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134 err = abs(integral - f(x0)); |
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135 testCase.verifyLessThan(err, 1e-12); |
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136 end |
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137 end |
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138 end |
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139 end |
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140 |
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141 function testInteriorRandom(testCase) |
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142 |
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143 orders = [2, 4, 6]; |
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144 mom_conds = orders; |
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145 |
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146 for o = 1:length(orders) |
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147 order = orders(o); |
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148 mom_cond = mom_conds(o); |
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149 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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150 |
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151 % Test random points in interior |
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152 x0s = (xl+2*h) + (xr-xl-4*h)*rand(1,20); |
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153 |
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154 for j = 1:length(fs) |
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155 f = fs{j}; |
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156 fx = f(x); |
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157 for i = 1:length(x0s) |
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158 x0 = x0s(i); |
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159 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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160 integral = delta'*H*fx; |
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161 err = abs(integral - f(x0)); |
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162 testCase.verifyLessThan(err, 1e-12); |
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163 end |
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164 end |
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165 end |
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166 end |
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167 |
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168 % x0 outside grid should yield 0 integral! |
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169 function testX0OutsideGrid(testCase) |
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170 |
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171 orders = [2, 4, 6]; |
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172 mom_conds = orders; |
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173 |
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174 for o = 1:length(orders) |
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175 order = orders(o); |
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176 mom_cond = mom_conds(o); |
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177 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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178 |
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179 % Test points outisde grid |
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180 x0s = [xl-1.1*h, xr+1.1*h]; |
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181 |
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182 for j = 1:length(fs) |
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183 f = fs{j}; |
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184 fx = f(x); |
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185 for i = 1:length(x0s) |
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186 x0 = x0s(i); |
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187 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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188 integral = delta'*H*fx; |
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189 err = abs(integral - 0); |
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190 testCase.verifyLessThan(err, 1e-12); |
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191 end |
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192 end |
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193 end |
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194 end |
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195 |
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196 function testAllGP(testCase) |
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197 |
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198 orders = [2, 4, 6]; |
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199 mom_conds = orders; |
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200 |
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201 for o = 1:length(orders) |
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202 order = orders(o); |
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203 mom_cond = mom_conds(o); |
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204 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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205 |
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206 % Test all grid points |
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207 x0s = x; |
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208 |
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209 for j = 1:length(fs) |
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210 f = fs{j}; |
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211 fx = f(x); |
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212 for i = 1:length(x0s) |
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213 x0 = x0s(i); |
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214 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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215 integral = delta'*H*fx; |
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216 err = abs(integral - f(x0)); |
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217 testCase.verifyLessThan(err, 1e-12); |
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218 end |
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219 end |
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220 end |
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221 end |
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222 |
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223 function testHalfGP(testCase) |
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224 |
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225 orders = [2, 4, 6]; |
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226 mom_conds = orders; |
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227 |
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228 for o = 1:length(orders) |
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229 order = orders(o); |
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230 mom_cond = mom_conds(o); |
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231 [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond); |
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232 |
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233 % Test halfway between all grid points |
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234 x0s = 1/2*( x(2:end)+x(1:end-1) ); |
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235 |
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236 for j = 1:length(fs) |
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237 f = fs{j}; |
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238 fx = f(x); |
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239 for i = 1:length(x0s) |
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240 x0 = x0s(i); |
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241 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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242 integral = delta'*H*fx; |
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243 err = abs(integral - f(x0)); |
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244 testCase.verifyLessThan(err, 1e-12); |
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245 end |
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246 end |
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247 end |
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248 end |
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249 |
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250 % function testAllGPStaggered(testCase) |
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251 |
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252 % orders = [2, 4, 6]; |
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253 % mom_conds = orders; |
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254 |
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255 % for o = 1:length(orders) |
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256 % order = orders(o); |
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257 % mom_cond = mom_conds(o); |
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258 % [xl, xr, m, h, x, H, fs] = setupStaggered(order, mom_cond); |
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259 |
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260 % % Test all grid points |
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261 % x0s = x; |
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262 |
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263 % for j = 1:length(fs) |
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264 % f = fs{j}; |
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265 % fx = f(x); |
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266 % for i = 1:length(x0s) |
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267 % x0 = x0s(i); |
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268 % delta = diracDiscr(x0, x, mom_cond, 0, H); |
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269 % integral = delta'*H*fx; |
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270 % err = abs(integral - f(x0)); |
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271 % testCase.verifyLessThan(err, 1e-12); |
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272 % end |
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273 % end |
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274 % end |
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275 % end |
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276 |
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277 % function testHalfGPStaggered(testCase) |
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278 |
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279 % orders = [2, 4, 6]; |
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280 % mom_conds = orders; |
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281 |
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282 % for o = 1:length(orders) |
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283 % order = orders(o); |
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284 % mom_cond = mom_conds(o); |
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285 % [xl, xr, m, h, x, H, fs] = setupStaggered(order, mom_cond); |
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286 |
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287 % % Test halfway between all grid points |
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288 % x0s = 1/2*( x(2:end)+x(1:end-1) ); |
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289 |
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290 % for j = 1:length(fs) |
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291 % f = fs{j}; |
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292 % fx = f(x); |
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293 % for i = 1:length(x0s) |
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294 % x0 = x0s(i); |
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295 % delta = diracDiscr(x0, x, mom_cond, 0, H); |
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296 % integral = delta'*H*fx; |
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297 % err = abs(integral - f(x0)); |
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298 % testCase.verifyLessThan(err, 1e-12); |
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299 % end |
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300 % end |
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301 % end |
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302 % end |
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303 |
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304 % function testRandomStaggered(testCase) |
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305 |
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306 % orders = [2, 4, 6]; |
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307 % mom_conds = orders; |
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308 |
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309 % for o = 1:length(orders) |
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310 % order = orders(o); |
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311 % mom_cond = mom_conds(o); |
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312 % [xl, xr, m, h, x, H, fs] = setupStaggered(order, mom_cond); |
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313 |
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314 % % Test random points within grid boundaries |
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315 % x0s = xl + (xr-xl)*rand(1,300); |
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316 |
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317 % for j = 1:length(fs) |
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318 % f = fs{j}; |
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319 % fx = f(x); |
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320 % for i = 1:length(x0s) |
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321 % x0 = x0s(i); |
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322 % delta = diracDiscr(x0, x, mom_cond, 0, H); |
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323 % integral = delta'*H*fx; |
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324 % err = abs(integral - f(x0)); |
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325 % testCase.verifyLessThan(err, 1e-12); |
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326 % end |
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327 % end |
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328 % end |
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329 % end |
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330 |
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331 %=============== 2D tests ============================== |
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332 function testAllGP2D(testCase) |
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333 |
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334 orders = [2, 4, 6]; |
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335 mom_conds = orders; |
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336 |
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337 for o = 1:length(orders) |
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338 order = orders(o); |
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339 mom_cond = mom_conds(o); |
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340 [xlims, ylims, m, x, X, ~, H, fs] = setup2D(order, mom_cond); |
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341 H_global = kron(H{1}, H{2}); |
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342 |
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343 % Test all grid points |
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344 x0s = X; |
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345 |
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346 for j = 1:length(fs) |
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347 f = fs{j}; |
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348 fx = f(X(:,1), X(:,2)); |
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349 for i = 1:length(x0s) |
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350 x0 = x0s(i,:); |
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351 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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352 integral = delta'*H_global*fx; |
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353 err = abs(integral - f(x0(1), x0(2))); |
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354 testCase.verifyLessThan(err, 1e-12); |
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355 end |
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356 end |
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357 end |
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358 end |
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359 |
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360 function testAllRandom2D(testCase) |
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361 |
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362 orders = [2, 4, 6]; |
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363 mom_conds = orders; |
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364 |
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365 for o = 1:length(orders) |
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366 order = orders(o); |
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367 mom_cond = mom_conds(o); |
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368 [xlims, ylims, m, x, X, h, H, fs] = setup2D(order, mom_cond); |
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369 H_global = kron(H{1}, H{2}); |
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370 |
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371 xl = xlims{1}; |
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372 xr = xlims{2}; |
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373 yl = ylims{1}; |
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374 yr = ylims{2}; |
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375 |
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376 % Test random points, even outside grid |
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377 Npoints = 100; |
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378 x0s = [(xl-3*h{1}) + (xr-xl+6*h{1})*rand(Npoints,1), ... |
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379 (yl-3*h{2}) + (yr-yl+6*h{2})*rand(Npoints,1) ]; |
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380 |
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381 for j = 1:length(fs) |
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382 f = fs{j}; |
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383 fx = f(X(:,1), X(:,2)); |
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384 for i = 1:length(x0s) |
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385 x0 = x0s(i,:); |
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386 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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387 integral = delta'*H_global*fx; |
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388 |
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389 % Integral should be 0 if point is outside grid |
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390 if x0(1) < xl || x0(1) > xr || x0(2) < yl || x0(2) > yr |
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391 err = abs(integral - 0); |
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392 else |
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393 err = abs(integral - f(x0(1), x0(2))); |
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394 end |
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395 testCase.verifyLessThan(err, 1e-12); |
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396 end |
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397 end |
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398 end |
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399 end |
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400 |
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401 %=============== 3D tests ============================== |
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402 function testAllGP3D(testCase) |
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403 |
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404 orders = [2, 4, 6]; |
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405 mom_conds = orders; |
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406 |
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407 for o = 1:length(orders) |
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408 order = orders(o); |
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409 mom_cond = mom_conds(o); |
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410 [xlims, ylims, zlims, m, x, X, h, H, fs] = setup3D(order, mom_cond); |
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411 H_global = kron(kron(H{1}, H{2}), H{3}); |
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412 |
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413 % Test all grid points |
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|
414 x0s = X; |
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|
415 |
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|
416 for j = 1:length(fs) |
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417 f = fs{j}; |
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418 fx = f(X(:,1), X(:,2), X(:,3)); |
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419 for i = 1:length(x0s) |
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420 x0 = x0s(i,:); |
43a1c3ac07b1
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421 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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422 integral = delta'*H_global*fx; |
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423 err = abs(integral - f(x0(1), x0(2), x0(3))); |
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424 testCase.verifyLessThan(err, 1e-12); |
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425 end |
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426 end |
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427 end |
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428 end |
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429 |
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430 function testAllRandom3D(testCase) |
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431 |
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432 orders = [2, 4, 6]; |
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433 mom_conds = orders; |
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434 |
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435 for o = 1:length(orders) |
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436 order = orders(o); |
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437 mom_cond = mom_conds(o); |
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438 [xlims, ylims, zlims, m, x, X, h, H, fs] = setup3D(order, mom_cond); |
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439 H_global = kron(kron(H{1}, H{2}), H{3}); |
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440 |
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441 xl = xlims{1}; |
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442 xr = xlims{2}; |
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|
443 yl = ylims{1}; |
43a1c3ac07b1
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444 yr = ylims{2}; |
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445 zl = zlims{1}; |
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|
446 zr = zlims{2}; |
43a1c3ac07b1
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|
447 |
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|
448 % Test random points, even outside grid |
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449 Npoints = 200; |
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450 x0s = [(xl-3*h{1}) + (xr-xl+6*h{1})*rand(Npoints,1), ... |
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451 (yl-3*h{2}) + (yr-yl+6*h{2})*rand(Npoints,1), ... |
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452 (zl-3*h{3}) + (zr-zl+6*h{3})*rand(Npoints,1) ]; |
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|
453 |
43a1c3ac07b1
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|
454 for j = 1:length(fs) |
43a1c3ac07b1
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|
455 f = fs{j}; |
43a1c3ac07b1
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|
456 fx = f(X(:,1), X(:,2), X(:,3)); |
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|
457 for i = 1:length(x0s) |
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|
458 x0 = x0s(i,:); |
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|
459 delta = diracDiscr(x0, x, mom_cond, 0, H); |
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|
460 integral = delta'*H_global*fx; |
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|
461 |
43a1c3ac07b1
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|
462 % Integral should be 0 if point is outside grid |
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|
463 if x0(1) < xl || x0(1) > xr || x0(2) < yl || x0(2) > yr || x0(3) < zl || x0(3) > zr |
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|
464 err = abs(integral - 0); |
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|
465 else |
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|
466 err = abs(integral - f(x0(1), x0(2), x0(3))); |
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|
467 end |
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|
468 testCase.verifyLessThan(err, 1e-12); |
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|
469 end |
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|
470 end |
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|
471 end |
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|
472 end |
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|
473 |
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|
474 |
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|
475 % ====================================================== |
836
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|
476 % ============== Setup functions ======================= |
837
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|
477 % ====================================================== |
43a1c3ac07b1
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|
478 function [xl, xr, m, h, x, H, fs] = setup1D(order, mom_cond) |
836
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|
479 |
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diff
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|
480 % Grid |
049e4c6fa630
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diff
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|
481 xl = -3; |
049e4c6fa630
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|
482 xr = 900; |
049e4c6fa630
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|
483 L = xr-xl; |
049e4c6fa630
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|
484 m = 101; |
049e4c6fa630
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|
485 h = (xr-xl)/(m-1); |
049e4c6fa630
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changeset
|
486 g = grid.equidistant(m, {xl, xr}); |
049e4c6fa630
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|
487 x = g.points(); |
049e4c6fa630
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changeset
|
488 |
049e4c6fa630
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parents:
diff
changeset
|
489 % Quadrature |
049e4c6fa630
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changeset
|
490 ops = sbp.D2Standard(m, {xl, xr}, order); |
049e4c6fa630
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|
491 H = ops.H; |
049e4c6fa630
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parents:
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changeset
|
492 |
049e4c6fa630
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parents:
diff
changeset
|
493 % Moment conditions |
049e4c6fa630
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changeset
|
494 fs = cell(mom_cond,1); |
049e4c6fa630
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|
495 for p = 0:mom_cond-1 |
049e4c6fa630
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changeset
|
496 fs{p+1} = @(x) (x/L).^p; |
049e4c6fa630
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parents:
diff
changeset
|
497 end |
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parents:
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changeset
|
498 |
049e4c6fa630
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parents:
diff
changeset
|
499 end |
049e4c6fa630
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|
500 |
837
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|
501 function [xlims, ylims, m, x, X, h, H, fs] = setup2D(order, mom_cond) |
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|
502 |
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|
503 % Grid |
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|
504 xlims = {-3, 20}; |
43a1c3ac07b1
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|
505 ylims = {-11,5}; |
43a1c3ac07b1
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|
506 Lx = xlims{2} - xlims{1}; |
43a1c3ac07b1
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|
507 Ly = ylims{2} - ylims{1}; |
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|
508 |
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|
509 m = [15, 16]; |
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|
510 g = grid.equidistant(m, xlims, ylims); |
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|
511 X = g.points(); |
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|
512 x = g.x; |
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|
513 |
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|
514 % Quadrature |
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515 opsx = sbp.D2Standard(m(1), xlims, order); |
43a1c3ac07b1
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516 opsy = sbp.D2Standard(m(2), ylims, order); |
43a1c3ac07b1
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517 Hx = opsx.H; |
43a1c3ac07b1
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518 Hy = opsy.H; |
43a1c3ac07b1
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519 H = {Hx, Hy}; |
43a1c3ac07b1
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|
520 |
43a1c3ac07b1
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521 % Moment conditions |
43a1c3ac07b1
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522 fs = cell(mom_cond,1); |
43a1c3ac07b1
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523 for p = 0:mom_cond-1 |
43a1c3ac07b1
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524 fs{p+1} = @(x,y) (x/Lx + y/Ly).^p; |
43a1c3ac07b1
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|
525 end |
43a1c3ac07b1
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|
526 |
43a1c3ac07b1
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527 % Grid spacing in interior |
43a1c3ac07b1
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528 mm = round(m/2); |
43a1c3ac07b1
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529 hx = x{1}(mm(1)+1) - x{1}(mm(1)); |
43a1c3ac07b1
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|
530 hy = x{2}(mm(2)+1) - x{2}(mm(2)); |
43a1c3ac07b1
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|
531 h = {hx, hy}; |
43a1c3ac07b1
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|
532 |
43a1c3ac07b1
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|
533 end |
43a1c3ac07b1
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|
534 |
43a1c3ac07b1
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|
535 function [xlims, ylims, zlims, m, x, X, h, H, fs] = setup3D(order, mom_cond) |
43a1c3ac07b1
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|
536 |
43a1c3ac07b1
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|
537 % Grid |
43a1c3ac07b1
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|
538 xlims = {-3, 20}; |
43a1c3ac07b1
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|
539 ylims = {-11,5}; |
43a1c3ac07b1
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|
540 zlims = {2,4}; |
43a1c3ac07b1
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parents:
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|
541 Lx = xlims{2} - xlims{1}; |
43a1c3ac07b1
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|
542 Ly = ylims{2} - ylims{1}; |
43a1c3ac07b1
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|
543 Lz = zlims{2} - zlims{1}; |
43a1c3ac07b1
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parents:
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|
544 |
43a1c3ac07b1
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|
545 m = [13, 14, 15]; |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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|
546 g = grid.equidistant(m, xlims, ylims, zlims); |
43a1c3ac07b1
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|
547 X = g.points(); |
43a1c3ac07b1
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|
548 x = g.x; |
43a1c3ac07b1
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|
549 |
43a1c3ac07b1
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parents:
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|
550 % Quadrature |
43a1c3ac07b1
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parents:
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diff
changeset
|
551 opsx = sbp.D2Standard(m(1), xlims, order); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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parents:
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diff
changeset
|
552 opsy = sbp.D2Standard(m(2), ylims, order); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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parents:
836
diff
changeset
|
553 opsz = sbp.D2Standard(m(3), zlims, order); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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diff
changeset
|
554 Hx = opsx.H; |
43a1c3ac07b1
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parents:
836
diff
changeset
|
555 Hy = opsy.H; |
43a1c3ac07b1
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diff
changeset
|
556 Hz = opsz.H; |
43a1c3ac07b1
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Martin Almquist <malmquist@stanford.edu>
parents:
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|
557 H = {Hx, Hy, Hz}; |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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|
558 |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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parents:
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changeset
|
559 % Moment conditions |
43a1c3ac07b1
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diff
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|
560 fs = cell(mom_cond,1); |
43a1c3ac07b1
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parents:
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|
561 for p = 0:mom_cond-1 |
43a1c3ac07b1
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parents:
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|
562 fs{p+1} = @(x,y,z) (x/Lx + y/Ly + z/Lz).^p; |
43a1c3ac07b1
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Martin Almquist <malmquist@stanford.edu>
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|
563 end |
43a1c3ac07b1
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parents:
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|
564 |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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diff
changeset
|
565 % Grid spacing in interior |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
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diff
changeset
|
566 mm = round(m/2); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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diff
changeset
|
567 hx = x{1}(mm(1)+1) - x{1}(mm(1)); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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changeset
|
568 hy = x{2}(mm(2)+1) - x{2}(mm(2)); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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|
569 hz = x{3}(mm(3)+1) - x{3}(mm(3)); |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
836
diff
changeset
|
570 h = {hx, hy, hz}; |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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diff
changeset
|
571 |
43a1c3ac07b1
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Martin Almquist <malmquist@stanford.edu>
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|
572 end |
43a1c3ac07b1
Make diracDiscr work for n dimensions. Add tests up to 3D.
Martin Almquist <malmquist@stanford.edu>
parents:
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diff
changeset
|
573 |
836
049e4c6fa630
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Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
574 function [xl, xr, m, h, x, H, fs] = setupStaggered(order, mom_cond) |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
575 |
049e4c6fa630
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Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
576 % Grid |
049e4c6fa630
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Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
577 xl = -3; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
578 xr = 900; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
579 L = xr-xl; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
580 m = 101; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
581 [~, g_dual] = grid.primalDual1D(m, {xl, xr}); |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
582 x = g_dual.points(); |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
583 h = g_dual.h; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
584 |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
585 % Quadrature |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
586 ops = sbp.D1Staggered(m, {xl, xr}, order); |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
587 H = ops.H_dual; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
588 |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
589 % Moment conditions |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
590 fs = cell(mom_cond,1); |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
591 for p = 0:mom_cond-1 |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
592 fs{p+1} = @(x) (x/L).^p; |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
593 end |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
594 |
049e4c6fa630
Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch.
Martin Almquist <malmquist@stanford.edu>
parents:
diff
changeset
|
595 end |