Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 620:bfc893d03cbf feature/volume_and_boundary_operators
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Mon, 07 Dec 2020 14:05:47 +0100 |
parents | 332f65c1abf3 |
children | 60d7c1752cfa |
rev | line source |
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314
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1 using Test |
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2 using Sbplib.SbpOperators |
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3 using Sbplib.Grids |
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4 using Sbplib.RegionIndices |
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5 using Sbplib.LazyTensors |
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6 using LinearAlgebra |
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7 using TOML |
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8 |
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9 import Sbplib.SbpOperators.Stencil |
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10 import Sbplib.SbpOperators.BoundaryOperator |
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11 import Sbplib.SbpOperators.boundary_operator |
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12 |
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13 @testset "SbpOperators" begin |
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14 |
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15 @testset "Stencil" begin |
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16 s = Stencil((-2,2), (1.,2.,2.,3.,4.)) |
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17 @test s isa Stencil{Float64, 5} |
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18 |
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19 @test eltype(s) == Float64 |
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20 @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.)) |
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21 |
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22 @test Stencil((1,2,3,4), center=1) == Stencil((0, 3),(1,2,3,4)) |
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23 @test Stencil((1,2,3,4), center=2) == Stencil((-1, 2),(1,2,3,4)) |
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24 @test Stencil((1,2,3,4), center=4) == Stencil((-3, 0),(1,2,3,4)) |
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25 end |
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26 |
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27 @testset "parse_rational" begin |
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28 @test SbpOperators.parse_rational("1") isa Rational |
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29 @test SbpOperators.parse_rational("1") == 1//1 |
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30 @test SbpOperators.parse_rational("1/2") isa Rational |
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31 @test SbpOperators.parse_rational("1/2") == 1//2 |
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32 @test SbpOperators.parse_rational("37/13") isa Rational |
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33 @test SbpOperators.parse_rational("37/13") == 37//13 |
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34 end |
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35 |
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36 @testset "readoperator" begin |
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37 toml_str = """ |
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38 [meta] |
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39 type = "equidistant" |
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40 |
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41 [order2] |
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42 H.inner = ["1"] |
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43 |
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44 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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45 D1.closure_stencils = [ |
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46 ["-1", "1"], |
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47 ] |
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48 |
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49 d1.closure = ["-3/2", "2", "-1/2"] |
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50 |
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51 [order4] |
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52 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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53 |
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54 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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55 D2.closure_stencils = [ |
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56 [ "2", "-5", "4", "-1", "0", "0"], |
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57 [ "1", "-2", "1", "0", "0", "0"], |
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58 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], |
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59 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], |
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60 ] |
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61 """ |
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62 |
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63 parsed_toml = TOML.parse(toml_str) |
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64 @testset "get_stencil" begin |
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65 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil((-1/2, 0., 1/2), center=2) |
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66 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil((-1/2, 0., 1/2); center=1) |
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67 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil((-1/2, 0., 1/2); center=3) |
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68 |
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69 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil((1.,), center=1) |
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70 |
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71 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type") |
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72 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils") |
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73 end |
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74 |
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75 @testset "get_stencils" begin |
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76 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil((-1., 1.), center=1),) |
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77 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil((-1., 1.), center=2),) |
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78 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil((-1., 1.), center=2),) |
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79 |
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80 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == ( |
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81 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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82 Stencil(( 1., -2., 1., 0., 0., 0.), center=1), |
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83 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1), |
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84 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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85 ) |
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86 |
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87 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == ( |
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88 Stencil(( 2., -5., 4., -1., 0., 0.), center=4), |
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89 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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90 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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91 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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92 ) |
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93 |
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94 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == ( |
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95 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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96 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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97 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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98 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4), |
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99 ) |
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100 |
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101 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3)) |
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102 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4)) |
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103 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2)) |
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104 end |
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105 |
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106 @testset "get_tuple" begin |
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107 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2) |
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108 |
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109 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type") |
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110 end |
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111 end |
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112 |
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113 # @testset "apply_quadrature" begin |
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114 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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115 # h = 0.5 |
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116 # |
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117 # @test apply_quadrature(op, h, 1.0, 10, 100) == h |
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118 # |
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119 # N = 10 |
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120 # qc = op.quadratureClosure |
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121 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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122 # @assert length(q) == N |
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123 # |
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124 # for i ∈ 1:N |
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125 # @test apply_quadrature(op, h, 1.0, i, N) == q[i] |
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126 # end |
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127 # |
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128 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5] |
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129 # for i ∈ 1:N |
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130 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i] |
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131 # end |
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132 # end |
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133 |
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134 @testset "SecondDerivative" begin |
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135 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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136 L = 3.5 |
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137 g = EquidistantGrid(101, 0.0, L) |
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138 Dₓₓ = SecondDerivative(g,op.innerStencil,op.closureStencils) |
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139 |
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140 f0(x) = 1. |
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141 f1(x) = x |
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142 f2(x) = 1/2*x^2 |
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143 f3(x) = 1/6*x^3 |
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144 f4(x) = 1/24*x^4 |
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145 f5(x) = sin(x) |
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146 f5ₓₓ(x) = -f5(x) |
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147 |
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148 v0 = evalOn(g,f0) |
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149 v1 = evalOn(g,f1) |
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150 v2 = evalOn(g,f2) |
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151 v3 = evalOn(g,f3) |
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152 v4 = evalOn(g,f4) |
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153 v5 = evalOn(g,f5) |
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154 |
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155 @test Dₓₓ isa TensorMapping{T,1,1} where T |
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156 @test Dₓₓ' isa TensorMapping{T,1,1} where T |
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157 |
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158 # 4th order interior stencil, 2nd order boundary stencil, |
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159 # implies that L*v should be exact for v - monomial up to order 3. |
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160 # Exact differentiation is measured point-wise. For other grid functions |
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161 # the error is measured in the l2-norm. |
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162 @test norm(Dₓₓ*v0) ≈ 0.0 atol=5e-10 |
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163 @test norm(Dₓₓ*v1) ≈ 0.0 atol=5e-10 |
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164 @test Dₓₓ*v2 ≈ v0 atol=5e-11 |
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165 @test Dₓₓ*v3 ≈ v1 atol=5e-11 |
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166 |
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167 h = spacing(g)[1]; |
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168 l2(v) = sqrt(h*sum(v.^2)) |
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169 @test Dₓₓ*v4 ≈ v2 atol=5e-4 norm=l2 |
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170 @test Dₓₓ*v5 ≈ -v5 atol=5e-4 norm=l2 |
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171 end |
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172 |
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173 |
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174 @testset "Laplace2D" begin |
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175 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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176 Lx = 1.5 |
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177 Ly = 3.2 |
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178 g = EquidistantGrid((102,131), (0.0, 0.0), (Lx,Ly)) |
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179 L = Laplace(g, op.innerStencil, op.closureStencils) |
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180 |
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181 |
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182 f0(x,y) = 2. |
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183 f1(x,y) = x+y |
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184 f2(x,y) = 1/2*x^2 + 1/2*y^2 |
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185 f3(x,y) = 1/6*x^3 + 1/6*y^3 |
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186 f4(x,y) = 1/24*x^4 + 1/24*y^4 |
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187 f5(x,y) = sin(x) + cos(y) |
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188 f5ₓₓ(x,y) = -f5(x,y) |
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189 |
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190 v0 = evalOn(g,f0) |
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191 v1 = evalOn(g,f1) |
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192 v2 = evalOn(g,f2) |
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193 v3 = evalOn(g,f3) |
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194 v4 = evalOn(g,f4) |
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195 v5 = evalOn(g,f5) |
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196 v5ₓₓ = evalOn(g,f5ₓₓ) |
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197 |
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198 @test L isa TensorMapping{T,2,2} where T |
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199 @test L' isa TensorMapping{T,2,2} where T |
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200 |
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201 # 4th order interior stencil, 2nd order boundary stencil, |
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202 # implies that L*v should be exact for v - monomial up to order 3. |
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203 # Exact differentiation is measured point-wise. For other grid functions |
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204 # the error is measured in the H-norm. |
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205 @test norm(L*v0) ≈ 0 atol=1e-9 |
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206 @test norm(L*v1) ≈ 0 atol=1e-9 |
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207 @test L*v2 ≈ v0 # Seems to be more accurate |
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208 @test L*v3 ≈ v1 atol=1e-9 |
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209 |
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210 h = spacing(g) |
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211 l2(v) = sqrt(prod(h)*sum(v.^2)) |
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212 @test L*v4 ≈ v2 atol=5e-4 norm=l2 |
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213 @test L*v5 ≈ v5ₓₓ atol=5e-4 norm=l2 |
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214 end |
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215 |
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216 @testset "DiagonalInnerProduct" begin |
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217 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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218 L = 2.3 |
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219 g = EquidistantGrid(77, 0.0, L) |
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220 H = DiagonalInnerProduct(g,op.quadratureClosure) |
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221 v = ones(Float64, size(g)) |
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222 |
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223 @test H isa TensorMapping{T,1,1} where T |
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224 @test H' isa TensorMapping{T,1,1} where T |
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225 @test sum(H*v) ≈ L |
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226 @test H*v == H'*v |
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227 end |
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228 |
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229 @testset "Quadrature" begin |
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230 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
328
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231 Lx = 2.3 |
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232 Ly = 5.2 |
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233 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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234 |
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235 Q = Quadrature(g, op.quadratureClosure) |
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236 |
356
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237 @test Q isa TensorMapping{T,2,2} where T |
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238 @test Q' isa TensorMapping{T,2,2} where T |
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239 |
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240 v = ones(Float64, size(g)) |
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241 @test sum(Q*v) ≈ Lx*Ly |
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242 |
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243 v = 2*ones(Float64, size(g)) |
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244 @test_broken sum(Q*v) ≈ 2*Lx*Ly |
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245 |
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246 @test Q*v == Q'*v |
328
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247 end |
329
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248 |
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249 @testset "InverseDiagonalInnerProduct" begin |
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250 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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251 L = 2.3 |
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252 g = EquidistantGrid(77, 0.0, L) |
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253 H = DiagonalInnerProduct(g, op.quadratureClosure) |
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254 Hi = InverseDiagonalInnerProduct(g,op.quadratureClosure) |
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255 v = evalOn(g, x->sin(x)) |
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256 |
356
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257 @test Hi isa TensorMapping{T,1,1} where T |
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258 @test Hi' isa TensorMapping{T,1,1} where T |
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259 @test Hi*H*v ≈ v |
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260 @test Hi*v == Hi'*v |
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261 end |
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262 |
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263 @testset "InverseQuadrature" begin |
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264 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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265 Lx = 7.3 |
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266 Ly = 8.2 |
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267 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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268 |
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269 Q = Quadrature(g, op.quadratureClosure) |
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270 Qinv = InverseQuadrature(g, op.quadratureClosure) |
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271 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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272 |
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273 @test Qinv isa TensorMapping{T,2,2} where T |
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274 @test Qinv' isa TensorMapping{T,2,2} where T |
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275 @test_broken Qinv*(Q*v) ≈ v |
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276 @test Qinv*v == Qinv'*v |
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277 end |
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278 |
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279 @testset "BoundaryOperator" begin |
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281 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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282 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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283 |
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284 @testset "Constructors" begin |
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285 @testset "1D" begin |
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286 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) |
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287 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower()) |
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288 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}()) |
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289 @test op_l isa TensorMapping{T,0,1} where T |
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290 |
610
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291 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) |
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292 @test op_r == BoundaryRestriction(g_1D,closure_stencil,Upper()) |
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293 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}()) |
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294 @test op_r isa TensorMapping{T,0,1} where T |
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295 end |
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296 |
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297 @testset "2D" begin |
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298 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) |
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299 @test e_w isa InflatedTensorMapping |
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300 @test e_w isa TensorMapping{T,1,2} where T |
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301 end |
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302 end |
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303 |
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304 op_l = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Lower}()) |
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305 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}()) |
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306 |
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307 op_w = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Lower}()) |
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308 op_e = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Upper}()) |
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309 op_s = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Lower}()) |
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310 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}()) |
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311 |
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312 @testset "Sizes" begin |
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313 @testset "1D" begin |
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314 @test domain_size(op_l) == (11,) |
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315 @test domain_size(op_r) == (11,) |
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316 |
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317 @test range_size(op_l) == () |
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318 @test range_size(op_r) == () |
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319 end |
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320 |
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321 @testset "2D" begin |
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322 @test domain_size(op_w) == (11,15) |
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323 @test domain_size(op_e) == (11,15) |
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324 @test domain_size(op_s) == (11,15) |
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325 @test domain_size(op_n) == (11,15) |
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326 |
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327 @test range_size(op_w) == (15,) |
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328 @test range_size(op_e) == (15,) |
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329 @test range_size(op_s) == (11,) |
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330 @test range_size(op_n) == (11,) |
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331 end |
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332 end |
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333 |
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334 |
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335 @testset "Application" begin |
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336 @testset "1D" begin |
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337 v = evalOn(g_1D,x->1+x^2) |
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338 u = fill(3.124) |
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339 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] |
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340 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2] |
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341 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2] |
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342 @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)] |
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343 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]] |
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344 end |
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345 |
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346 @testset "2D" begin |
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347 v = rand(size(g_2D)...) |
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348 u = fill(3.124) |
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349 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 |
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350 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 |
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351 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 |
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352 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 |
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353 |
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354 |
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355 g_x = rand(size(g_2D)[1]) |
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356 g_y = rand(size(g_2D)[2]) |
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357 |
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358 G_w = zeros(Float64, size(g_2D)...) |
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359 G_w[1,:] = 2*g_y |
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360 G_w[2,:] = g_y |
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361 G_w[3,:] = 3*g_y |
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362 |
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363 G_e = zeros(Float64, size(g_2D)...) |
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364 G_e[end,:] = 2*g_y |
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365 G_e[end-1,:] = g_y |
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366 G_e[end-2,:] = 3*g_y |
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367 |
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368 G_s = zeros(Float64, size(g_2D)...) |
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369 G_s[:,1] = 2*g_x |
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370 G_s[:,2] = g_x |
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371 G_s[:,3] = 3*g_x |
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372 |
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373 G_n = zeros(Float64, size(g_2D)...) |
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374 G_n[:,end] = 2*g_x |
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375 G_n[:,end-1] = g_x |
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376 G_n[:,end-2] = 3*g_x |
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377 |
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378 @test op_w'*g_y == G_w |
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379 @test op_e'*g_y == G_e |
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380 @test op_s'*g_x == G_s |
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381 @test op_n'*g_x == G_n |
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382 end |
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383 |
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384 @testset "Regions" begin |
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385 u = fill(3.124) |
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386 @test (op_l'*u)[Index(1,Lower)] == 2*u[] |
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387 @test (op_l'*u)[Index(2,Lower)] == u[] |
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388 @test (op_l'*u)[Index(6,Interior)] == 0 |
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389 @test (op_l'*u)[Index(10,Upper)] == 0 |
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390 @test (op_l'*u)[Index(11,Upper)] == 0 |
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391 |
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392 @test (op_r'*u)[Index(1,Lower)] == 0 |
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393 @test (op_r'*u)[Index(2,Lower)] == 0 |
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394 @test (op_r'*u)[Index(6,Interior)] == 0 |
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395 @test (op_r'*u)[Index(10,Upper)] == u[] |
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396 @test (op_r'*u)[Index(11,Upper)] == 2*u[] |
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397 end |
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398 end |
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399 |
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400 @testset "Inferred" begin |
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401 v = ones(Float64, 11) |
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402 u = fill(1.) |
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403 |
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404 @inferred apply(op_l, v) |
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405 @inferred apply(op_r, v) |
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406 |
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407 @inferred apply_transpose(op_l, u, 4) |
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408 @inferred apply_transpose(op_l, u, Index(1,Lower)) |
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409 @inferred apply_transpose(op_l, u, Index(2,Lower)) |
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410 @inferred apply_transpose(op_l, u, Index(6,Interior)) |
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411 @inferred apply_transpose(op_l, u, Index(10,Upper)) |
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412 @inferred apply_transpose(op_l, u, Index(11,Upper)) |
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413 |
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414 @inferred apply_transpose(op_r, u, 4) |
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415 @inferred apply_transpose(op_r, u, Index(1,Lower)) |
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416 @inferred apply_transpose(op_r, u, Index(2,Lower)) |
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417 @inferred apply_transpose(op_r, u, Index(6,Interior)) |
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418 @inferred apply_transpose(op_r, u, Index(10,Upper)) |
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419 @inferred apply_transpose(op_r, u, Index(11,Upper)) |
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420 end |
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421 |
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422 end |
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423 |
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424 @testset "BoundaryRestriction" begin |
617 | 425 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
610
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426 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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427 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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428 |
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429 @testset "Constructors" begin |
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430 @testset "1D" begin |
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431 e_l = BoundaryRestriction(g_1D,op.eClosure,Lower()) |
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432 @test e_l == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
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433 @test e_l == BoundaryOperator(g_1D,op.eClosure,Lower()) |
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434 @test e_l isa BoundaryOperator{T,Lower} where T |
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435 @test e_l isa TensorMapping{T,0,1} where T |
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436 |
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437 e_r = BoundaryRestriction(g_1D,op.eClosure,Upper()) |
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438 @test e_r == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
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439 @test e_r == BoundaryOperator(g_1D,op.eClosure,Upper()) |
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440 @test e_r isa BoundaryOperator{T,Upper} where T |
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441 @test e_r isa TensorMapping{T,0,1} where T |
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442 end |
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443 |
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444 @testset "2D" begin |
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445 e_w = BoundaryRestriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
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446 @test e_w isa InflatedTensorMapping |
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447 @test e_w isa TensorMapping{T,1,2} where T |
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448 end |
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449 end |
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450 |
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451 @testset "Application" begin |
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452 @testset "1D" begin |
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453 e_l = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
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454 e_r = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
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455 |
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456 v = evalOn(g_1D,x->1+x^2) |
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457 u = fill(3.124) |
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458 |
576
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459 @test (e_l*v)[] == v[1] |
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460 @test (e_r*v)[] == v[end] |
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461 @test (e_r*v)[1] == v[end] |
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462 @test e_l'*u == [u[]; zeros(10)] |
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463 @test e_r'*u == [zeros(10); u[]] |
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464 end |
513
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465 |
576
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466 @testset "2D" begin |
610
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467 e_w = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
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468 e_e = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
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469 e_s = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
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470 e_n = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
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471 |
576
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472 v = rand(11, 15) |
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473 u = fill(3.124) |
513
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474 |
576
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475 @test e_w*v == v[1,:] |
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476 @test e_e*v == v[end,:] |
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477 @test e_s*v == v[:,1] |
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478 @test e_n*v == v[:,end] |
565
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479 |
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480 |
576
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481 g_x = rand(11) |
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482 g_y = rand(15) |
513
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483 |
576
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484 G_w = zeros(Float64, (11,15)) |
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485 G_w[1,:] = g_y |
565
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486 |
576
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487 G_e = zeros(Float64, (11,15)) |
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488 G_e[end,:] = g_y |
565
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489 |
576
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490 G_s = zeros(Float64, (11,15)) |
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491 G_s[:,1] = g_x |
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492 |
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493 G_n = zeros(Float64, (11,15)) |
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494 G_n[:,end] = g_x |
565
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495 |
576
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496 @test e_w'*g_y == G_w |
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497 @test e_e'*g_y == G_e |
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498 @test e_s'*g_x == G_s |
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499 @test e_n'*g_x == G_n |
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500 end |
544
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501 end |
513
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Get some kind of tested working implementation.
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502 end |
620
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503 |
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504 @testset "NormalDerivative" begin |
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505 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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506 g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0)) |
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507 |
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508 d_w = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Lower}()) |
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509 d_e = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Upper}()) |
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510 d_s = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Lower}()) |
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511 d_n = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Upper}()) |
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512 |
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513 |
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514 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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515 v∂x = evalOn(g, (x,y)-> 2*x + y) |
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516 v∂y = evalOn(g, (x,y)-> 2*(y-1) + x) |
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517 |
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518 @test d_w isa TensorMapping{T,1,2} where T |
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519 |
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520 @test d_w*v ≈ v∂x[1,:] |
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521 @test d_e*v ≈ -v∂x[end,:] |
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522 @test d_s*v ≈ v∂y[:,1] |
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523 @test d_n*v ≈ -v∂y[:,end] |
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524 |
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525 |
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526 d_x_l = zeros(Float64, size(g)[1]) |
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527 d_x_u = zeros(Float64, size(g)[1]) |
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528 for i ∈ eachindex(d_x_l) |
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529 d_x_l[i] = op.dClosure[i-1] |
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530 d_x_u[i] = op.dClosure[length(d_x_u)-i] |
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|
531 end |
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|
532 |
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533 d_y_l = zeros(Float64, size(g)[2]) |
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534 d_y_u = zeros(Float64, size(g)[2]) |
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535 for i ∈ eachindex(d_y_l) |
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536 d_y_l[i] = op.dClosure[i-1] |
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537 d_y_u[i] = op.dClosure[length(d_y_u)-i] |
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538 end |
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539 |
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|
540 function prod_matrix(x,y) |
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|
541 G = zeros(Float64, length(x), length(y)) |
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542 for I ∈ CartesianIndices(G) |
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|
543 G[I] = x[I[1]]*y[I[2]] |
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|
544 end |
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|
545 |
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|
546 return G |
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|
547 end |
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|
548 |
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diff
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|
549 g_x = [1,2,3,4.0,5] |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
550 g_y = [5,4,3,2,1.0,11] |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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|
551 |
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|
552 G_w = prod_matrix(d_x_l, g_y) |
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|
553 G_e = prod_matrix(d_x_u, g_y) |
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|
554 G_s = prod_matrix(g_x, d_y_l) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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diff
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|
555 G_n = prod_matrix(g_x, d_y_u) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
556 |
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|
557 @test d_w'*g_y ≈ G_w |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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|
558 @test_broken d_e'*g_y ≈ G_e |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
559 @test d_s'*g_x ≈ G_s |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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|
560 @test_broken d_n'*g_x ≈ G_n |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
561 end |
314
accb0876da12
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diff
changeset
|
562 # |
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|
563 # @testset "BoundaryQuadrature" begin |
594
cc86b920531a
Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents:
586
diff
changeset
|
564 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
314
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|
565 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0)) |
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|
566 # |
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|
567 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}()) |
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|
568 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}()) |
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|
569 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}()) |
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|
570 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}()) |
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|
571 # |
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|
572 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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diff
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|
573 # |
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|
574 # function get_quadrature(N) |
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|
575 # qc = op.quadratureClosure |
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|
576 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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|
577 # @assert length(q) == N |
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|
578 # return q |
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|
579 # end |
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|
580 # |
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|
581 # v_w = v[1,:] |
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|
582 # v_e = v[10,:] |
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|
583 # v_s = v[:,1] |
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|
584 # v_n = v[:,11] |
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|
585 # |
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diff
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|
586 # q_x = spacing(g)[1].*get_quadrature(10) |
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|
587 # q_y = spacing(g)[2].*get_quadrature(11) |
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diff
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|
588 # |
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|
589 # @test H_w isa TensorOperator{T,1} where T |
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diff
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|
590 # |
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|
591 # @test domain_size(H_w, (3,)) == (3,) |
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|
592 # @test domain_size(H_n, (3,)) == (3,) |
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593 # |
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594 # @test range_size(H_w, (3,)) == (3,) |
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595 # @test range_size(H_n, (3,)) == (3,) |
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596 # |
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597 # @test size(H_w*v_w) == (11,) |
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598 # @test size(H_e*v_e) == (11,) |
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599 # @test size(H_s*v_s) == (10,) |
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600 # @test size(H_n*v_n) == (10,) |
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601 # |
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602 # @test H_w*v_w .≈ q_y.*v_w |
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603 # @test H_e*v_e .≈ q_y.*v_e |
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604 # @test H_s*v_s .≈ q_x.*v_s |
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605 # @test H_n*v_n .≈ q_x.*v_n |
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606 # |
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607 # @test H_w'*v_w == H_w'*v_w |
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608 # @test H_e'*v_e == H_e'*v_e |
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609 # @test H_s'*v_s == H_s'*v_s |
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610 # @test H_n'*v_n == H_n'*v_n |
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611 # end |
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612 |
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613 end |