Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 612:1db945cba3a2 feature/volume_and_boundary_operators
Remove extra argument to volume_operator in SecondDerivative()
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Sat, 05 Dec 2020 20:46:49 +0100 |
parents | e40e7439d1b4 |
children | f59e1732eacc |
rev | line source |
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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 |
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8 @testset "SbpOperators" begin |
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9 |
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10 @testset "Stencil" begin |
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11 s = SbpOperators.Stencil((-2,2), (1.,2.,2.,3.,4.)) |
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12 @test s isa SbpOperators.Stencil{Float64, 5} |
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13 |
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14 @test eltype(s) == Float64 |
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15 @test SbpOperators.scale(s, 2) == SbpOperators.Stencil((-2,2), (2.,4.,4.,6.,8.)) |
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16 end |
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17 |
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18 # @testset "apply_quadrature" begin |
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19 # op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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20 # h = 0.5 |
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21 # |
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22 # @test apply_quadrature(op, h, 1.0, 10, 100) == h |
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23 # |
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24 # N = 10 |
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25 # qc = op.quadratureClosure |
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26 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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27 # @assert length(q) == N |
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28 # |
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29 # for i ∈ 1:N |
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30 # @test apply_quadrature(op, h, 1.0, i, N) == q[i] |
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31 # end |
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32 # |
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33 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5] |
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34 # for i ∈ 1:N |
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35 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i] |
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36 # end |
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37 # end |
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38 |
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39 @testset "SecondDerivative" begin |
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40 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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41 L = 3.5 |
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42 g = EquidistantGrid(101, 0.0, L) |
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43 Dₓₓ = SecondDerivative(g,op.innerStencil,op.closureStencils) |
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44 |
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45 f0(x) = 1. |
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46 f1(x) = x |
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47 f2(x) = 1/2*x^2 |
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48 f3(x) = 1/6*x^3 |
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49 f4(x) = 1/24*x^4 |
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50 f5(x) = sin(x) |
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51 f5ₓₓ(x) = -f5(x) |
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52 |
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53 v0 = evalOn(g,f0) |
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54 v1 = evalOn(g,f1) |
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55 v2 = evalOn(g,f2) |
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56 v3 = evalOn(g,f3) |
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57 v4 = evalOn(g,f4) |
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58 v5 = evalOn(g,f5) |
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59 |
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60 @test Dₓₓ isa TensorMapping{T,1,1} where T |
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61 @test Dₓₓ' isa TensorMapping{T,1,1} where T |
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62 |
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63 # 4th order interior stencil, 2nd order boundary stencil, |
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64 # implies that L*v should be exact for v - monomial up to order 3. |
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65 # Exact differentiation is measured point-wise. For other grid functions |
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66 # the error is measured in the l2-norm. |
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67 @test norm(Dₓₓ*v0) ≈ 0.0 atol=5e-10 |
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68 @test norm(Dₓₓ*v1) ≈ 0.0 atol=5e-10 |
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69 @test Dₓₓ*v2 ≈ v0 atol=5e-11 |
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70 @test Dₓₓ*v3 ≈ v1 atol=5e-11 |
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71 |
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72 h = spacing(g)[1]; |
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73 l2(v) = sqrt(h*sum(v.^2)) |
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74 @test Dₓₓ*v4 ≈ v2 atol=5e-4 norm=l2 |
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75 @test Dₓₓ*v5 ≈ -v5 atol=5e-4 norm=l2 |
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76 end |
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77 |
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78 |
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79 @testset "Laplace2D" begin |
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80 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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81 Lx = 1.5 |
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82 Ly = 3.2 |
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83 g = EquidistantGrid((102,131), (0.0, 0.0), (Lx,Ly)) |
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84 L = Laplace(g, op.innerStencil, op.closureStencils) |
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85 |
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86 |
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87 f0(x,y) = 2. |
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88 f1(x,y) = x+y |
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89 f2(x,y) = 1/2*x^2 + 1/2*y^2 |
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90 f3(x,y) = 1/6*x^3 + 1/6*y^3 |
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91 f4(x,y) = 1/24*x^4 + 1/24*y^4 |
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92 f5(x,y) = sin(x) + cos(y) |
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93 f5ₓₓ(x,y) = -f5(x,y) |
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94 |
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95 v0 = evalOn(g,f0) |
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96 v1 = evalOn(g,f1) |
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97 v2 = evalOn(g,f2) |
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98 v3 = evalOn(g,f3) |
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99 v4 = evalOn(g,f4) |
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100 v5 = evalOn(g,f5) |
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101 v5ₓₓ = evalOn(g,f5ₓₓ) |
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102 |
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103 @test L isa TensorMapping{T,2,2} where T |
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104 @test L' isa TensorMapping{T,2,2} where T |
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105 |
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106 # 4th order interior stencil, 2nd order boundary stencil, |
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107 # implies that L*v should be exact for v - monomial up to order 3. |
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108 # Exact differentiation is measured point-wise. For other grid functions |
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109 # the error is measured in the H-norm. |
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110 @test norm(L*v0) ≈ 0 atol=1e-9 |
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111 @test norm(L*v1) ≈ 0 atol=1e-9 |
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112 @test L*v2 ≈ v0 # Seems to be more accurate |
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113 @test L*v3 ≈ v1 atol=1e-9 |
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114 |
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115 h = spacing(g) |
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116 l2(v) = sqrt(prod(h)*sum(v.^2)) |
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117 @test L*v4 ≈ v2 atol=5e-4 norm=l2 |
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118 @test L*v5 ≈ v5ₓₓ atol=5e-4 norm=l2 |
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119 end |
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120 |
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121 @testset "DiagonalInnerProduct" begin |
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122 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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123 L = 2.3 |
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124 g = EquidistantGrid(77, 0.0, L) |
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125 H = DiagonalInnerProduct(g,op.quadratureClosure) |
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126 v = ones(Float64, size(g)) |
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127 |
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128 @test H isa TensorMapping{T,1,1} where T |
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129 @test H' isa TensorMapping{T,1,1} where T |
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130 @test sum(H*v) ≈ L |
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131 @test H*v == H'*v |
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132 end |
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133 |
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134 @testset "Quadrature" begin |
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135 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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136 Lx = 2.3 |
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137 Ly = 5.2 |
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138 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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139 |
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140 Q = Quadrature(g, op.quadratureClosure) |
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141 |
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142 @test Q isa TensorMapping{T,2,2} where T |
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143 @test Q' isa TensorMapping{T,2,2} where T |
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144 |
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145 v = ones(Float64, size(g)) |
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146 @test sum(Q*v) ≈ Lx*Ly |
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147 |
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148 v = 2*ones(Float64, size(g)) |
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149 @test_broken sum(Q*v) ≈ 2*Lx*Ly |
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150 |
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151 @test Q*v == Q'*v |
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152 end |
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153 |
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154 @testset "InverseDiagonalInnerProduct" begin |
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155 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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156 L = 2.3 |
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157 g = EquidistantGrid(77, 0.0, L) |
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158 H = DiagonalInnerProduct(g, op.quadratureClosure) |
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159 Hi = InverseDiagonalInnerProduct(g,op.quadratureClosure) |
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160 v = evalOn(g, x->sin(x)) |
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161 |
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162 @test Hi isa TensorMapping{T,1,1} where T |
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163 @test Hi' isa TensorMapping{T,1,1} where T |
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164 @test Hi*H*v ≈ v |
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165 @test Hi*v == Hi'*v |
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166 end |
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167 |
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168 @testset "InverseQuadrature" begin |
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169 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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170 Lx = 7.3 |
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171 Ly = 8.2 |
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172 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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173 |
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174 Q = Quadrature(g, op.quadratureClosure) |
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175 Qinv = InverseQuadrature(g, op.quadratureClosure) |
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176 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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177 |
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178 @test Qinv isa TensorMapping{T,2,2} where T |
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179 @test Qinv' isa TensorMapping{T,2,2} where T |
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180 @test_broken Qinv*(Q*v) ≈ v |
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181 @test Qinv*v == Qinv'*v |
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182 end |
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183 |
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184 @testset "BoundaryOperator" begin |
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185 closure_stencil = SbpOperators.Stencil((0,2), (2.,1.,3.)) |
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186 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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187 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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188 |
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189 @testset "Constructors" begin |
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190 @testset "1D" begin |
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191 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) |
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192 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower()) |
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193 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}()) |
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194 @test op_l isa TensorMapping{T,0,1} where T |
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196 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) |
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197 @test op_r == BoundaryRestriction(g_1D,closure_stencil,Upper()) |
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198 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}()) |
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199 @test op_r isa TensorMapping{T,0,1} where T |
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200 end |
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201 |
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202 @testset "2D" begin |
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203 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) |
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204 @test e_w isa InflatedTensorMapping |
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205 @test e_w isa TensorMapping{T,1,2} where T |
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206 end |
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207 end |
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209 op_l = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Lower}()) |
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210 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}()) |
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211 |
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212 op_w = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Lower}()) |
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213 op_e = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Upper}()) |
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214 op_s = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Lower}()) |
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215 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}()) |
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216 |
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217 @testset "Sizes" begin |
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218 @testset "1D" begin |
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219 @test domain_size(op_l) == (11,) |
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220 @test domain_size(op_r) == (11,) |
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222 @test range_size(op_l) == () |
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223 @test range_size(op_r) == () |
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224 end |
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225 |
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226 @testset "2D" begin |
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227 @test domain_size(op_w) == (11,15) |
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228 @test domain_size(op_e) == (11,15) |
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229 @test domain_size(op_s) == (11,15) |
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230 @test domain_size(op_n) == (11,15) |
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231 |
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232 @test range_size(op_w) == (15,) |
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233 @test range_size(op_e) == (15,) |
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234 @test range_size(op_s) == (11,) |
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235 @test range_size(op_n) == (11,) |
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236 end |
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237 end |
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240 @testset "Application" begin |
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241 @testset "1D" begin |
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242 v = evalOn(g_1D,x->1+x^2) |
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243 u = fill(3.124) |
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244 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] |
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245 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2] |
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246 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2] |
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247 @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)] |
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248 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]] |
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249 end |
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250 |
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251 @testset "2D" begin |
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252 v = rand(size(g_2D)...) |
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253 u = fill(3.124) |
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254 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 |
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255 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 |
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256 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 |
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257 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 |
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258 |
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259 |
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260 g_x = rand(size(g_2D)[1]) |
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261 g_y = rand(size(g_2D)[2]) |
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262 |
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263 G_w = zeros(Float64, size(g_2D)...) |
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264 G_w[1,:] = 2*g_y |
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265 G_w[2,:] = g_y |
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266 G_w[3,:] = 3*g_y |
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267 |
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268 G_e = zeros(Float64, size(g_2D)...) |
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269 G_e[end,:] = 2*g_y |
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270 G_e[end-1,:] = g_y |
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271 G_e[end-2,:] = 3*g_y |
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272 |
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273 G_s = zeros(Float64, size(g_2D)...) |
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274 G_s[:,1] = 2*g_x |
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275 G_s[:,2] = g_x |
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276 G_s[:,3] = 3*g_x |
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277 |
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278 G_n = zeros(Float64, size(g_2D)...) |
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279 G_n[:,end] = 2*g_x |
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280 G_n[:,end-1] = g_x |
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281 G_n[:,end-2] = 3*g_x |
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282 |
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283 @test op_w'*g_y == G_w |
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284 @test op_e'*g_y == G_e |
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285 @test op_s'*g_x == G_s |
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286 @test op_n'*g_x == G_n |
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287 end |
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288 |
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289 @testset "Regions" begin |
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290 u = fill(3.124) |
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291 @test (op_l'*u)[Index(1,Lower)] == 2*u[] |
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292 @test (op_l'*u)[Index(2,Lower)] == u[] |
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293 @test (op_l'*u)[Index(6,Interior)] == 0 |
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294 @test (op_l'*u)[Index(10,Upper)] == 0 |
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295 @test (op_l'*u)[Index(11,Upper)] == 0 |
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296 |
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297 @test (op_r'*u)[Index(1,Lower)] == 0 |
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298 @test (op_r'*u)[Index(2,Lower)] == 0 |
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299 @test (op_r'*u)[Index(6,Interior)] == 0 |
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300 @test (op_r'*u)[Index(10,Upper)] == u[] |
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301 @test (op_r'*u)[Index(11,Upper)] == 2*u[] |
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302 end |
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303 end |
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304 |
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305 @testset "Inferred" begin |
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306 v = ones(Float64, 11) |
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307 u = fill(1.) |
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308 |
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309 @inferred apply(op_l, v) |
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310 @inferred apply(op_r, v) |
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311 |
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312 @inferred apply_transpose(op_l, u, 4) |
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313 @inferred apply_transpose(op_l, u, Index(1,Lower)) |
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314 @inferred apply_transpose(op_l, u, Index(2,Lower)) |
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315 @inferred apply_transpose(op_l, u, Index(6,Interior)) |
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316 @inferred apply_transpose(op_l, u, Index(10,Upper)) |
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317 @inferred apply_transpose(op_l, u, Index(11,Upper)) |
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318 |
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319 @inferred apply_transpose(op_r, u, 4) |
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320 @inferred apply_transpose(op_r, u, Index(1,Lower)) |
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321 @inferred apply_transpose(op_r, u, Index(2,Lower)) |
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322 @inferred apply_transpose(op_r, u, Index(6,Interior)) |
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323 @inferred apply_transpose(op_r, u, Index(10,Upper)) |
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324 @inferred apply_transpose(op_r, u, Index(11,Upper)) |
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325 end |
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326 |
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327 end |
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328 |
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329 @testset "BoundaryRestriction" begin |
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330 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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331 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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332 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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333 |
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334 @testset "Constructors" begin |
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335 @testset "1D" begin |
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336 e_l = BoundaryRestriction(g_1D,op.eClosure,Lower()) |
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337 @test e_l == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
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338 @test e_l == BoundaryOperator(g_1D,op.eClosure,Lower()) |
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339 @test e_l isa BoundaryOperator{T,Lower} where T |
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340 @test e_l isa TensorMapping{T,0,1} where T |
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341 |
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342 e_r = BoundaryRestriction(g_1D,op.eClosure,Upper()) |
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343 @test e_r == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
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344 @test e_r == BoundaryOperator(g_1D,op.eClosure,Upper()) |
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345 @test e_r isa BoundaryOperator{T,Upper} where T |
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346 @test e_r isa TensorMapping{T,0,1} where T |
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347 end |
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348 |
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349 @testset "2D" begin |
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350 e_w = BoundaryRestriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
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351 @test e_w isa InflatedTensorMapping |
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352 @test e_w isa TensorMapping{T,1,2} where T |
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353 end |
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354 end |
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355 |
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356 @testset "Application" begin |
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357 @testset "1D" begin |
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358 e_l = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
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359 e_r = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
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360 |
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361 v = evalOn(g_1D,x->1+x^2) |
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362 u = fill(3.124) |
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363 |
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364 @test (e_l*v)[] == v[1] |
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365 @test (e_r*v)[] == v[end] |
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366 @test (e_r*v)[1] == v[end] |
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367 @test e_l'*u == [u[]; zeros(10)] |
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368 @test e_r'*u == [zeros(10); u[]] |
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369 end |
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370 |
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371 @testset "2D" begin |
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372 e_w = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
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373 e_e = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
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374 e_s = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
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375 e_n = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
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376 |
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377 v = rand(11, 15) |
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378 u = fill(3.124) |
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379 |
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380 @test e_w*v == v[1,:] |
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381 @test e_e*v == v[end,:] |
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382 @test e_s*v == v[:,1] |
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383 @test e_n*v == v[:,end] |
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384 |
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385 |
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386 g_x = rand(11) |
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387 g_y = rand(15) |
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388 |
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389 G_w = zeros(Float64, (11,15)) |
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390 G_w[1,:] = g_y |
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391 |
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392 G_e = zeros(Float64, (11,15)) |
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393 G_e[end,:] = g_y |
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394 |
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395 G_s = zeros(Float64, (11,15)) |
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396 G_s[:,1] = g_x |
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397 |
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398 G_n = zeros(Float64, (11,15)) |
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399 G_n[:,end] = g_x |
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400 |
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401 @test e_w'*g_y == G_w |
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402 @test e_e'*g_y == G_e |
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403 @test e_s'*g_x == G_s |
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404 @test e_n'*g_x == G_n |
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405 end |
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406 end |
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407 end |
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408 # |
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409 # @testset "NormalDerivative" begin |
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410 # op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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411 # g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0)) |
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412 # |
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413 # d_w = NormalDerivative(op, g, CartesianBoundary{1,Lower}()) |
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414 # d_e = NormalDerivative(op, g, CartesianBoundary{1,Upper}()) |
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415 # d_s = NormalDerivative(op, g, CartesianBoundary{2,Lower}()) |
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416 # d_n = NormalDerivative(op, g, CartesianBoundary{2,Upper}()) |
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417 # |
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418 # |
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419 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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420 # v∂x = evalOn(g, (x,y)-> 2*x + y) |
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421 # v∂y = evalOn(g, (x,y)-> 2*(y-1) + x) |
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422 # |
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423 # @test d_w isa TensorMapping{T,2,1} where T |
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424 # @test d_w' isa TensorMapping{T,1,2} where T |
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425 # |
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426 # @test domain_size(d_w, (3,2)) == (2,) |
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427 # @test domain_size(d_e, (3,2)) == (2,) |
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428 # @test domain_size(d_s, (3,2)) == (3,) |
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429 # @test domain_size(d_n, (3,2)) == (3,) |
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430 # |
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431 # @test size(d_w'*v) == (6,) |
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432 # @test size(d_e'*v) == (6,) |
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433 # @test size(d_s'*v) == (5,) |
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434 # @test size(d_n'*v) == (5,) |
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435 # |
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436 # @test d_w'*v .≈ v∂x[1,:] |
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437 # @test d_e'*v .≈ v∂x[5,:] |
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438 # @test d_s'*v .≈ v∂y[:,1] |
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439 # @test d_n'*v .≈ v∂y[:,6] |
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440 # |
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441 # |
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442 # d_x_l = zeros(Float64, 5) |
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443 # d_x_u = zeros(Float64, 5) |
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444 # for i ∈ eachindex(d_x_l) |
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445 # d_x_l[i] = op.dClosure[i-1] |
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446 # d_x_u[i] = -op.dClosure[length(d_x_u)-i] |
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447 # end |
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448 # |
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449 # d_y_l = zeros(Float64, 6) |
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450 # d_y_u = zeros(Float64, 6) |
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451 # for i ∈ eachindex(d_y_l) |
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452 # d_y_l[i] = op.dClosure[i-1] |
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453 # d_y_u[i] = -op.dClosure[length(d_y_u)-i] |
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454 # end |
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455 # |
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456 # function prod_matrix(x,y) |
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457 # G = zeros(Float64, length(x), length(y)) |
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458 # for I ∈ CartesianIndices(G) |
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459 # G[I] = x[I[1]]*y[I[2]] |
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460 # end |
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461 # |
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462 # return G |
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463 # end |
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464 # |
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465 # g_x = [1,2,3,4.0,5] |
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466 # g_y = [5,4,3,2,1.0,11] |
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467 # |
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468 # G_w = prod_matrix(d_x_l, g_y) |
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469 # G_e = prod_matrix(d_x_u, g_y) |
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470 # G_s = prod_matrix(g_x, d_y_l) |
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471 # G_n = prod_matrix(g_x, d_y_u) |
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472 # |
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473 # |
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474 # @test size(d_w*g_y) == (UnknownDim,6) |
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475 # @test size(d_e*g_y) == (UnknownDim,6) |
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476 # @test size(d_s*g_x) == (5,UnknownDim) |
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477 # @test size(d_n*g_x) == (5,UnknownDim) |
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478 # |
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479 # # These tests should be moved to where they are possible (i.e we know what the grid should be) |
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480 # @test_broken d_w*g_y .≈ G_w |
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481 # @test_broken d_e*g_y .≈ G_e |
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482 # @test_broken d_s*g_x .≈ G_s |
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483 # @test_broken d_n*g_x .≈ G_n |
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484 # end |
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485 # |
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486 # @testset "BoundaryQuadrature" begin |
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487 # op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt") |
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488 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0)) |
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489 # |
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490 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}()) |
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491 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}()) |
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492 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}()) |
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493 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}()) |
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494 # |
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495 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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496 # |
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497 # function get_quadrature(N) |
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498 # qc = op.quadratureClosure |
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499 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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500 # @assert length(q) == N |
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501 # return q |
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502 # end |
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503 # |
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504 # v_w = v[1,:] |
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505 # v_e = v[10,:] |
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506 # v_s = v[:,1] |
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507 # v_n = v[:,11] |
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508 # |
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509 # q_x = spacing(g)[1].*get_quadrature(10) |
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510 # q_y = spacing(g)[2].*get_quadrature(11) |
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511 # |
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512 # @test H_w isa TensorOperator{T,1} where T |
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513 # |
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514 # @test domain_size(H_w, (3,)) == (3,) |
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515 # @test domain_size(H_n, (3,)) == (3,) |
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516 # |
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517 # @test range_size(H_w, (3,)) == (3,) |
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518 # @test range_size(H_n, (3,)) == (3,) |
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519 # |
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520 # @test size(H_w*v_w) == (11,) |
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521 # @test size(H_e*v_e) == (11,) |
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522 # @test size(H_s*v_s) == (10,) |
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523 # @test size(H_n*v_n) == (10,) |
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524 # |
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525 # @test H_w*v_w .≈ q_y.*v_w |
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526 # @test H_e*v_e .≈ q_y.*v_e |
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527 # @test H_s*v_s .≈ q_x.*v_s |
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528 # @test H_n*v_n .≈ q_x.*v_n |
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529 # |
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530 # @test H_w'*v_w == H_w'*v_w |
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531 # @test H_e'*v_e == H_e'*v_e |
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532 # @test H_s'*v_s == H_s'*v_s |
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533 # @test H_n'*v_n == H_n'*v_n |
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534 # end |
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535 |
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536 end |