Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 604:6901d5375311 refactor/toml_operator_format
Add tests for get_stencil, get_stencils and get_tuple
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Sat, 05 Dec 2020 13:51:11 +0100 |
parents | 03ef4d4740ab |
children | 8fcf9c9afb30 |
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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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9 @testset "SbpOperators" begin |
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11 @testset "Stencil" begin |
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12 s = SbpOperators.Stencil((-2,2), (1.,2.,2.,3.,4.)) |
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13 @test s isa SbpOperators.Stencil{Float64, 5} |
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14 |
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15 @test eltype(s) == Float64 |
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16 @test SbpOperators.scale(s, 2) == SbpOperators.Stencil((-2,2), (2.,4.,4.,6.,8.)) |
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17 |
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18 @test SbpOperators.Stencil((1,2,3,4), center=1) == SbpOperators.Stencil((0, 3),(1,2,3,4)) |
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19 @test SbpOperators.Stencil((1,2,3,4), center=2) == SbpOperators.Stencil((-1, 2),(1,2,3,4)) |
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20 @test SbpOperators.Stencil((1,2,3,4), center=4) == SbpOperators.Stencil((-3, 0),(1,2,3,4)) |
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21 end |
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22 |
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23 @testset "readoperator" begin |
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24 toml_str = """ |
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25 [meta] |
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26 type = "equidistant" |
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27 |
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28 [order2] |
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29 H.inner = ["1"] |
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30 |
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31 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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32 D1.closure_stencils = [ |
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33 ["-1", "1"], |
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34 ] |
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35 |
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36 d1.closure = ["-3/2", "2", "-1/2"] |
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37 |
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38 [order4] |
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39 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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40 |
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41 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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42 D2.closure_stencils = [ |
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43 [ "2", "-5", "4", "-1", "0", "0"], |
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44 [ "1", "-2", "1", "0", "0", "0"], |
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45 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], |
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46 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], |
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47 ] |
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48 """ |
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49 |
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50 parsed_toml = TOML.parse(toml_str) |
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51 @testset "get_stencil" begin |
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52 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == SbpOperators.Stencil((-1/2, 0., 1/2), center=2) |
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53 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == SbpOperators.Stencil((-1/2, 0., 1/2); center=1) |
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54 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == SbpOperators.Stencil((-1/2, 0., 1/2); center=3) |
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55 |
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56 @test get_stencil(parsed_toml, "order2", "H", "inner") == SbpOperators.Stencil((1.,), center=1) |
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57 |
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58 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type") |
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59 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils") |
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60 end |
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61 |
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62 @testset "get_stencils" begin |
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63 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (SbpOperators.Stencil((-1., 1.), center=1),) |
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64 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (SbpOperators.Stencil((-1., 1.), center=2),) |
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65 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (SbpOperators.Stencil((-1., 1.), center=2),) |
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66 |
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67 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == ( |
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68 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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69 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=1), |
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70 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1), |
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71 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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72 ) |
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73 |
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74 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == ( |
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75 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=4), |
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76 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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77 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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78 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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79 ) |
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81 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == ( |
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82 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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83 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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84 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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85 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4), |
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86 ) |
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87 |
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88 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3)) |
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89 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4)) |
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90 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2)) |
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91 end |
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92 |
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93 @testset "get_tuple" begin |
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94 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2) |
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95 |
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96 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type") |
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97 end |
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98 end |
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99 |
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100 # @testset "apply_quadrature" begin |
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101 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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102 # h = 0.5 |
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103 # |
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104 # @test apply_quadrature(op, h, 1.0, 10, 100) == h |
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105 # |
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106 # N = 10 |
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107 # qc = op.quadratureClosure |
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108 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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109 # @assert length(q) == N |
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110 # |
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111 # for i ∈ 1:N |
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112 # @test apply_quadrature(op, h, 1.0, i, N) == q[i] |
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113 # end |
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114 # |
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115 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5] |
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116 # for i ∈ 1:N |
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117 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i] |
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118 # end |
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119 # end |
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120 |
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121 @testset "SecondDerivative" begin |
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122 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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123 L = 3.5 |
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124 g = EquidistantGrid(101, 0.0, L) |
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125 Dₓₓ = SecondDerivative(g,op.innerStencil,op.closureStencils) |
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126 |
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127 f0(x) = 1. |
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128 f1(x) = x |
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129 f2(x) = 1/2*x^2 |
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130 f3(x) = 1/6*x^3 |
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131 f4(x) = 1/24*x^4 |
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132 f5(x) = sin(x) |
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133 f5ₓₓ(x) = -f5(x) |
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134 |
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135 v0 = evalOn(g,f0) |
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136 v1 = evalOn(g,f1) |
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137 v2 = evalOn(g,f2) |
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138 v3 = evalOn(g,f3) |
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139 v4 = evalOn(g,f4) |
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140 v5 = evalOn(g,f5) |
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141 |
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142 @test Dₓₓ isa TensorMapping{T,1,1} where T |
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143 @test Dₓₓ' isa TensorMapping{T,1,1} where T |
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144 |
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145 # 4th order interior stencil, 2nd order boundary stencil, |
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146 # implies that L*v should be exact for v - monomial up to order 3. |
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147 # Exact differentiation is measured point-wise. For other grid functions |
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148 # the error is measured in the l2-norm. |
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149 @test norm(Dₓₓ*v0) ≈ 0.0 atol=5e-10 |
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150 @test norm(Dₓₓ*v1) ≈ 0.0 atol=5e-10 |
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151 @test Dₓₓ*v2 ≈ v0 atol=5e-11 |
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152 @test Dₓₓ*v3 ≈ v1 atol=5e-11 |
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153 |
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154 h = spacing(g)[1]; |
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155 l2(v) = sqrt(h*sum(v.^2)) |
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156 @test Dₓₓ*v4 ≈ v2 atol=5e-4 norm=l2 |
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157 @test Dₓₓ*v5 ≈ -v5 atol=5e-4 norm=l2 |
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158 end |
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159 |
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160 |
314
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161 @testset "Laplace2D" begin |
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162 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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163 Lx = 1.5 |
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164 Ly = 3.2 |
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165 g = EquidistantGrid((102,131), (0.0, 0.0), (Lx,Ly)) |
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166 L = Laplace(g, op.innerStencil, op.closureStencils) |
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167 |
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168 |
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169 f0(x,y) = 2. |
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170 f1(x,y) = x+y |
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171 f2(x,y) = 1/2*x^2 + 1/2*y^2 |
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172 f3(x,y) = 1/6*x^3 + 1/6*y^3 |
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173 f4(x,y) = 1/24*x^4 + 1/24*y^4 |
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174 f5(x,y) = sin(x) + cos(y) |
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175 f5ₓₓ(x,y) = -f5(x,y) |
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176 |
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177 v0 = evalOn(g,f0) |
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178 v1 = evalOn(g,f1) |
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179 v2 = evalOn(g,f2) |
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180 v3 = evalOn(g,f3) |
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181 v4 = evalOn(g,f4) |
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182 v5 = evalOn(g,f5) |
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183 v5ₓₓ = evalOn(g,f5ₓₓ) |
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184 |
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185 @test L isa TensorMapping{T,2,2} where T |
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186 @test L' isa TensorMapping{T,2,2} where T |
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187 |
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188 # 4th order interior stencil, 2nd order boundary stencil, |
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189 # implies that L*v should be exact for v - monomial up to order 3. |
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190 # Exact differentiation is measured point-wise. For other grid functions |
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191 # the error is measured in the H-norm. |
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192 @test norm(L*v0) ≈ 0 atol=5e-10 |
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193 @test norm(L*v1) ≈ 0 atol=5e-10 |
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194 @test L*v2 ≈ v0 # Seems to be more accurate |
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195 @test L*v3 ≈ v1 atol=5e-10 |
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196 |
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197 h = spacing(g) |
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198 l2(v) = sqrt(prod(h)*sum(v.^2)) |
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199 @test L*v4 ≈ v2 atol=5e-4 norm=l2 |
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200 @test L*v5 ≈ v5ₓₓ atol=5e-4 norm=l2 |
254
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201 end |
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202 |
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203 @testset "DiagonalInnerProduct" begin |
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204 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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205 L = 2.3 |
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206 g = EquidistantGrid(77, 0.0, L) |
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207 H = DiagonalInnerProduct(g,op.quadratureClosure) |
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208 v = ones(Float64, size(g)) |
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209 |
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210 @test H isa TensorMapping{T,1,1} where T |
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211 @test H' isa TensorMapping{T,1,1} where T |
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212 @test sum(H*v) ≈ L |
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213 @test H*v == H'*v |
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214 end |
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215 |
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216 @testset "Quadrature" begin |
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217 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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218 Lx = 2.3 |
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219 Ly = 5.2 |
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220 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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221 |
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222 Q = Quadrature(g, op.quadratureClosure) |
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223 |
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224 @test Q isa TensorMapping{T,2,2} where T |
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225 @test Q' isa TensorMapping{T,2,2} where T |
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226 |
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227 v = ones(Float64, size(g)) |
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228 @test sum(Q*v) ≈ Lx*Ly |
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229 |
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230 v = 2*ones(Float64, size(g)) |
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231 @test_broken sum(Q*v) ≈ 2*Lx*Ly |
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232 |
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233 @test Q*v == Q'*v |
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234 end |
329
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235 |
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236 @testset "InverseDiagonalInnerProduct" begin |
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237 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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238 L = 2.3 |
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239 g = EquidistantGrid(77, 0.0, L) |
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240 H = DiagonalInnerProduct(g, op.quadratureClosure) |
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241 Hi = InverseDiagonalInnerProduct(g,op.quadratureClosure) |
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242 v = evalOn(g, x->sin(x)) |
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243 |
356
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244 @test Hi isa TensorMapping{T,1,1} where T |
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245 @test Hi' isa TensorMapping{T,1,1} where T |
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246 @test Hi*H*v ≈ v |
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247 @test Hi*v == Hi'*v |
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248 end |
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249 |
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250 @testset "InverseQuadrature" begin |
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251 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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252 Lx = 7.3 |
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253 Ly = 8.2 |
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254 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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255 |
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256 Q = Quadrature(g, op.quadratureClosure) |
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257 Qinv = InverseQuadrature(g, op.quadratureClosure) |
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258 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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259 |
356
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260 @test Qinv isa TensorMapping{T,2,2} where T |
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261 @test Qinv' isa TensorMapping{T,2,2} where T |
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262 @test_broken Qinv*(Q*v) ≈ v |
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263 @test Qinv*v == Qinv'*v |
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264 end |
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265 |
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266 @testset "BoundaryRestrictrion" begin |
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267 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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268 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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269 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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270 |
565
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271 @testset "Constructors" begin |
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272 @testset "1D" begin |
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273 e_l = BoundaryRestriction{Lower}(op.eClosure,size(g_1D)[1]) |
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274 @test e_l == BoundaryRestriction(g_1D,op.eClosure,Lower()) |
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275 @test e_l == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
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276 @test e_l isa TensorMapping{T,0,1} where T |
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277 |
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278 e_r = BoundaryRestriction{Upper}(op.eClosure,size(g_1D)[1]) |
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279 @test e_r == BoundaryRestriction(g_1D,op.eClosure,Upper()) |
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280 @test e_r == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
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281 @test e_r isa TensorMapping{T,0,1} where T |
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282 end |
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283 |
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284 @testset "2D" begin |
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285 e_w = boundary_restriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
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286 @test e_w isa InflatedTensorMapping |
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287 @test e_w isa TensorMapping{T,1,2} where T |
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288 end |
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289 end |
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290 |
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291 e_l = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
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292 e_r = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
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293 |
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294 e_w = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
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295 e_e = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
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296 e_s = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
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297 e_n = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
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298 |
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299 @testset "Sizes" begin |
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300 @testset "1D" begin |
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301 @test domain_size(e_l) == (11,) |
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302 @test domain_size(e_r) == (11,) |
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303 |
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304 @test range_size(e_l) == () |
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305 @test range_size(e_r) == () |
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306 end |
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307 |
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308 @testset "2D" begin |
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309 @test domain_size(e_w) == (11,15) |
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310 @test domain_size(e_e) == (11,15) |
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311 @test domain_size(e_s) == (11,15) |
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312 @test domain_size(e_n) == (11,15) |
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313 |
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314 @test range_size(e_w) == (15,) |
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315 @test range_size(e_e) == (15,) |
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316 @test range_size(e_s) == (11,) |
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317 @test range_size(e_n) == (11,) |
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318 end |
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319 end |
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320 |
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321 |
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322 @testset "Application" begin |
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323 @testset "1D" begin |
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324 v = evalOn(g_1D,x->1+x^2) |
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325 u = fill(3.124) |
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326 @test (e_l*v)[] == v[1] |
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327 @test (e_r*v)[] == v[end] |
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328 @test (e_r*v)[1] == v[end] |
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329 @test e_l'*u == [u[]; zeros(10)] |
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330 @test e_r'*u == [zeros(10); u[]] |
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331 end |
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332 |
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333 @testset "2D" begin |
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334 v = rand(11, 15) |
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335 u = fill(3.124) |
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336 |
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337 @test e_w*v == v[1,:] |
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338 @test e_e*v == v[end,:] |
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339 @test e_s*v == v[:,1] |
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340 @test e_n*v == v[:,end] |
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341 |
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342 |
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343 g_x = rand(11) |
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344 g_y = rand(15) |
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345 |
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346 G_w = zeros(Float64, (11,15)) |
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347 G_w[1,:] = g_y |
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348 |
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349 G_e = zeros(Float64, (11,15)) |
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350 G_e[end,:] = g_y |
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351 |
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352 G_s = zeros(Float64, (11,15)) |
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353 G_s[:,1] = g_x |
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354 |
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355 G_n = zeros(Float64, (11,15)) |
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356 G_n[:,end] = g_x |
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357 |
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358 @test e_w'*g_y == G_w |
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359 @test e_e'*g_y == G_e |
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360 @test e_s'*g_x == G_s |
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361 @test e_n'*g_x == G_n |
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362 end |
573
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363 |
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364 @testset "Regions" begin |
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365 u = fill(3.124) |
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366 @test (e_l'*u)[Index(1,Lower)] == 3.124 |
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367 @test (e_l'*u)[Index(2,Lower)] == 0 |
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368 @test (e_l'*u)[Index(6,Interior)] == 0 |
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369 @test (e_l'*u)[Index(10,Upper)] == 0 |
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370 @test (e_l'*u)[Index(11,Upper)] == 0 |
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371 |
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372 @test (e_r'*u)[Index(1,Lower)] == 0 |
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373 @test (e_r'*u)[Index(2,Lower)] == 0 |
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374 @test (e_r'*u)[Index(6,Interior)] == 0 |
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375 @test (e_r'*u)[Index(10,Upper)] == 0 |
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376 @test (e_r'*u)[Index(11,Upper)] == 3.124 |
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377 end |
544
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378 end |
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379 |
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380 @testset "Inferred" begin |
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381 v = ones(Float64, 11) |
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382 u = fill(1.) |
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383 |
578
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384 @inferred apply(e_l, v) |
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385 @inferred apply(e_r, v) |
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386 |
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387 @inferred apply_transpose(e_l, u, 4) |
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388 @inferred apply_transpose(e_l, u, Index(1,Lower)) |
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389 @inferred apply_transpose(e_l, u, Index(2,Lower)) |
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390 @inferred apply_transpose(e_l, u, Index(6,Interior)) |
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391 @inferred apply_transpose(e_l, u, Index(10,Upper)) |
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392 @inferred apply_transpose(e_l, u, Index(11,Upper)) |
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393 |
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394 @inferred apply_transpose(e_r, u, 4) |
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395 @inferred apply_transpose(e_r, u, Index(1,Lower)) |
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396 @inferred apply_transpose(e_r, u, Index(2,Lower)) |
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397 @inferred apply_transpose(e_r, u, Index(6,Interior)) |
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398 @inferred apply_transpose(e_r, u, Index(10,Upper)) |
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399 @inferred apply_transpose(e_r, u, Index(11,Upper)) |
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400 end |
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401 |
513
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402 end |
314
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403 # |
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404 # @testset "NormalDerivative" begin |
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405 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
314
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406 # g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0)) |
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407 # |
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408 # d_w = NormalDerivative(op, g, CartesianBoundary{1,Lower}()) |
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409 # d_e = NormalDerivative(op, g, CartesianBoundary{1,Upper}()) |
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410 # d_s = NormalDerivative(op, g, CartesianBoundary{2,Lower}()) |
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411 # d_n = NormalDerivative(op, g, CartesianBoundary{2,Upper}()) |
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412 # |
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413 # |
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414 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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415 # v∂x = evalOn(g, (x,y)-> 2*x + y) |
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416 # v∂y = evalOn(g, (x,y)-> 2*(y-1) + x) |
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417 # |
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418 # @test d_w isa TensorMapping{T,2,1} where T |
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419 # @test d_w' isa TensorMapping{T,1,2} where T |
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420 # |
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421 # @test domain_size(d_w, (3,2)) == (2,) |
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422 # @test domain_size(d_e, (3,2)) == (2,) |
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423 # @test domain_size(d_s, (3,2)) == (3,) |
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424 # @test domain_size(d_n, (3,2)) == (3,) |
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425 # |
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426 # @test size(d_w'*v) == (6,) |
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427 # @test size(d_e'*v) == (6,) |
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428 # @test size(d_s'*v) == (5,) |
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429 # @test size(d_n'*v) == (5,) |
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430 # |
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431 # @test d_w'*v .≈ v∂x[1,:] |
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432 # @test d_e'*v .≈ v∂x[5,:] |
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433 # @test d_s'*v .≈ v∂y[:,1] |
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434 # @test d_n'*v .≈ v∂y[:,6] |
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435 # |
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436 # |
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437 # d_x_l = zeros(Float64, 5) |
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438 # d_x_u = zeros(Float64, 5) |
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439 # for i ∈ eachindex(d_x_l) |
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440 # d_x_l[i] = op.dClosure[i-1] |
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441 # d_x_u[i] = -op.dClosure[length(d_x_u)-i] |
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442 # end |
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443 # |
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444 # d_y_l = zeros(Float64, 6) |
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445 # d_y_u = zeros(Float64, 6) |
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446 # for i ∈ eachindex(d_y_l) |
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447 # d_y_l[i] = op.dClosure[i-1] |
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448 # d_y_u[i] = -op.dClosure[length(d_y_u)-i] |
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449 # end |
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450 # |
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451 # function prod_matrix(x,y) |
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452 # G = zeros(Float64, length(x), length(y)) |
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453 # for I ∈ CartesianIndices(G) |
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454 # G[I] = x[I[1]]*y[I[2]] |
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455 # end |
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456 # |
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457 # return G |
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458 # end |
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459 # |
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460 # g_x = [1,2,3,4.0,5] |
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461 # g_y = [5,4,3,2,1.0,11] |
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462 # |
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463 # G_w = prod_matrix(d_x_l, g_y) |
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464 # G_e = prod_matrix(d_x_u, g_y) |
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465 # G_s = prod_matrix(g_x, d_y_l) |
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466 # G_n = prod_matrix(g_x, d_y_u) |
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467 # |
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468 # |
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469 # @test size(d_w*g_y) == (UnknownDim,6) |
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470 # @test size(d_e*g_y) == (UnknownDim,6) |
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471 # @test size(d_s*g_x) == (5,UnknownDim) |
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472 # @test size(d_n*g_x) == (5,UnknownDim) |
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473 # |
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474 # # These tests should be moved to where they are possible (i.e we know what the grid should be) |
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475 # @test_broken d_w*g_y .≈ G_w |
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476 # @test_broken d_e*g_y .≈ G_e |
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477 # @test_broken d_s*g_x .≈ G_s |
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478 # @test_broken d_n*g_x .≈ G_n |
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479 # end |
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480 # |
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481 # @testset "BoundaryQuadrature" begin |
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482 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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483 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0)) |
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484 # |
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485 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}()) |
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486 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}()) |
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487 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}()) |
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488 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}()) |
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489 # |
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490 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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491 # |
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492 # function get_quadrature(N) |
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493 # qc = op.quadratureClosure |
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494 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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495 # @assert length(q) == N |
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496 # return q |
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497 # end |
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498 # |
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499 # v_w = v[1,:] |
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500 # v_e = v[10,:] |
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501 # v_s = v[:,1] |
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502 # v_n = v[:,11] |
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503 # |
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504 # q_x = spacing(g)[1].*get_quadrature(10) |
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505 # q_y = spacing(g)[2].*get_quadrature(11) |
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506 # |
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507 # @test H_w isa TensorOperator{T,1} where T |
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508 # |
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509 # @test domain_size(H_w, (3,)) == (3,) |
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510 # @test domain_size(H_n, (3,)) == (3,) |
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511 # |
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512 # @test range_size(H_w, (3,)) == (3,) |
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513 # @test range_size(H_n, (3,)) == (3,) |
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514 # |
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515 # @test size(H_w*v_w) == (11,) |
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516 # @test size(H_e*v_e) == (11,) |
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517 # @test size(H_s*v_s) == (10,) |
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518 # @test size(H_n*v_n) == (10,) |
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519 # |
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520 # @test H_w*v_w .≈ q_y.*v_w |
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521 # @test H_e*v_e .≈ q_y.*v_e |
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522 # @test H_s*v_s .≈ q_x.*v_s |
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523 # @test H_n*v_n .≈ q_x.*v_n |
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524 # |
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525 # @test H_w'*v_w == H_w'*v_w |
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526 # @test H_e'*v_e == H_e'*v_e |
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527 # @test H_s'*v_s == H_s'*v_s |
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528 # @test H_n'*v_n == H_n'*v_n |
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529 # end |
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530 |
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531 end |