annotate test/testSbpOperators.jl @ 605:8fcf9c9afb30 refactor/toml_operator_format

Merge
author Jonatan Werpers <jonatan@werpers.com>
date Sat, 05 Dec 2020 13:58:43 +0100
parents 6901d5375311 fbff4009c08a
children eaa8c852ddf2
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1 using Test
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2 using Sbplib.SbpOperators
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3 using Sbplib.Grids
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4 using Sbplib.RegionIndices
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5 using Sbplib.LazyTensors
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6 using LinearAlgebra
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7 using TOML
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8
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9 @testset "SbpOperators" begin
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10
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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 "parse_rational" begin
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24 @test SbpOperators.parse_rational("1") isa Rational
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25 @test SbpOperators.parse_rational("1") == 1//1
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26 @test SbpOperators.parse_rational("1/2") isa Rational
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27 @test SbpOperators.parse_rational("1/2") == 1//2
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28 @test SbpOperators.parse_rational("37/13") isa Rational
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29 @test SbpOperators.parse_rational("37/13") == 37//13
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30 end
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31
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32 @testset "readoperator" begin
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33 toml_str = """
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34 [meta]
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35 type = "equidistant"
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36
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37 [order2]
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38 H.inner = ["1"]
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39
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40 D1.inner_stencil = ["-1/2", "0", "1/2"]
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41 D1.closure_stencils = [
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42 ["-1", "1"],
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43 ]
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44
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45 d1.closure = ["-3/2", "2", "-1/2"]
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46
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47 [order4]
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48 H.closure = ["17/48", "59/48", "43/48", "49/48"]
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49
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50 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
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51 D2.closure_stencils = [
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52 [ "2", "-5", "4", "-1", "0", "0"],
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53 [ "1", "-2", "1", "0", "0", "0"],
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54 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"],
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55 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"],
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56 ]
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57 """
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58
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59 parsed_toml = TOML.parse(toml_str)
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60 @testset "get_stencil" begin
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61 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == SbpOperators.Stencil((-1/2, 0., 1/2), center=2)
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62 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == SbpOperators.Stencil((-1/2, 0., 1/2); center=1)
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63 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == SbpOperators.Stencil((-1/2, 0., 1/2); center=3)
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64
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65 @test get_stencil(parsed_toml, "order2", "H", "inner") == SbpOperators.Stencil((1.,), center=1)
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66
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67 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type")
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68 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils")
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69 end
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70
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71 @testset "get_stencils" begin
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72 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (SbpOperators.Stencil((-1., 1.), center=1),)
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73 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (SbpOperators.Stencil((-1., 1.), center=2),)
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74 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (SbpOperators.Stencil((-1., 1.), center=2),)
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75
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76 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == (
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77 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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78 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=1),
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79 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1),
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80 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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81 )
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82
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83 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == (
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84 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=4),
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85 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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86 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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87 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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88 )
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89
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90 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == (
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91 SbpOperators.Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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92 SbpOperators.Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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93 SbpOperators.Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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94 SbpOperators.Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4),
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95 )
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96
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97 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3))
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98 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4))
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99 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2))
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100 end
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101
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102 @testset "get_tuple" begin
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103 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2)
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104
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105 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type")
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106 end
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107 end
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108
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109 # @testset "apply_quadrature" begin
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110 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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111 # h = 0.5
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112 #
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113 # @test apply_quadrature(op, h, 1.0, 10, 100) == h
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114 #
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115 # N = 10
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116 # qc = op.quadratureClosure
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117 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...)
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118 # @assert length(q) == N
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119 #
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120 # for i ∈ 1:N
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121 # @test apply_quadrature(op, h, 1.0, i, N) == q[i]
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122 # end
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123 #
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124 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5]
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125 # for i ∈ 1:N
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126 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i]
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127 # end
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128 # end
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129
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130 @testset "SecondDerivative" begin
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131 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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132 L = 3.5
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133 g = EquidistantGrid(101, 0.0, L)
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134 Dₓₓ = SecondDerivative(g,op.innerStencil,op.closureStencils)
314
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135
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136 f0(x) = 1.
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137 f1(x) = x
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138 f2(x) = 1/2*x^2
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139 f3(x) = 1/6*x^3
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140 f4(x) = 1/24*x^4
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141 f5(x) = sin(x)
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142 f5ₓₓ(x) = -f5(x)
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143
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144 v0 = evalOn(g,f0)
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145 v1 = evalOn(g,f1)
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146 v2 = evalOn(g,f2)
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147 v3 = evalOn(g,f3)
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148 v4 = evalOn(g,f4)
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149 v5 = evalOn(g,f5)
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150
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151 @test Dₓₓ isa TensorMapping{T,1,1} where T
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152 @test Dₓₓ' isa TensorMapping{T,1,1} where T
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153
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154 # 4th order interior stencil, 2nd order boundary stencil,
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155 # implies that L*v should be exact for v - monomial up to order 3.
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156 # Exact differentiation is measured point-wise. For other grid functions
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157 # the error is measured in the l2-norm.
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158 @test norm(Dₓₓ*v0) ≈ 0.0 atol=5e-10
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159 @test norm(Dₓₓ*v1) ≈ 0.0 atol=5e-10
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160 @test Dₓₓ*v2 ≈ v0 atol=5e-11
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161 @test Dₓₓ*v3 ≈ v1 atol=5e-11
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162
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163 h = spacing(g)[1];
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164 l2(v) = sqrt(h*sum(v.^2))
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165 @test Dₓₓ*v4 ≈ v2 atol=5e-4 norm=l2
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166 @test Dₓₓ*v5 ≈ -v5 atol=5e-4 norm=l2
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167 end
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168
387
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169
314
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170 @testset "Laplace2D" begin
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171 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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172 Lx = 1.5
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173 Ly = 3.2
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174 g = EquidistantGrid((102,131), (0.0, 0.0), (Lx,Ly))
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175 L = Laplace(g, op.innerStencil, op.closureStencils)
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176
254
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177
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178 f0(x,y) = 2.
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179 f1(x,y) = x+y
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180 f2(x,y) = 1/2*x^2 + 1/2*y^2
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181 f3(x,y) = 1/6*x^3 + 1/6*y^3
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182 f4(x,y) = 1/24*x^4 + 1/24*y^4
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183 f5(x,y) = sin(x) + cos(y)
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184 f5ₓₓ(x,y) = -f5(x,y)
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185
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186 v0 = evalOn(g,f0)
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187 v1 = evalOn(g,f1)
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188 v2 = evalOn(g,f2)
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189 v3 = evalOn(g,f3)
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190 v4 = evalOn(g,f4)
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191 v5 = evalOn(g,f5)
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192 v5ₓₓ = evalOn(g,f5ₓₓ)
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193
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194 @test L isa TensorMapping{T,2,2} where T
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195 @test L' isa TensorMapping{T,2,2} where T
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196
314
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197 # 4th order interior stencil, 2nd order boundary stencil,
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198 # implies that L*v should be exact for v - monomial up to order 3.
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199 # Exact differentiation is measured point-wise. For other grid functions
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200 # the error is measured in the H-norm.
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201 @test norm(L*v0) ≈ 0 atol=5e-10
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202 @test norm(L*v1) ≈ 0 atol=5e-10
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203 @test L*v2 ≈ v0 # Seems to be more accurate
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204 @test L*v3 ≈ v1 atol=5e-10
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205
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206 h = spacing(g)
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207 l2(v) = sqrt(prod(h)*sum(v.^2))
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208 @test L*v4 ≈ v2 atol=5e-4 norm=l2
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209 @test L*v5 ≈ v5ₓₓ atol=5e-4 norm=l2
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210 end
328
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211
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212 @testset "DiagonalInnerProduct" begin
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213 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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214 L = 2.3
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215 g = EquidistantGrid(77, 0.0, L)
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diff changeset
216 H = DiagonalInnerProduct(g,op.quadratureClosure)
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217 v = ones(Float64, size(g))
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218
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219 @test H isa TensorMapping{T,1,1} where T
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220 @test H' isa TensorMapping{T,1,1} where T
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221 @test sum(H*v) ≈ L
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222 @test H*v == H'*v
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223 end
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224
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225 @testset "Quadrature" begin
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226 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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227 Lx = 2.3
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parents: 314
diff changeset
228 Ly = 5.2
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
229 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
230
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
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diff changeset
231 Q = Quadrature(g, op.quadratureClosure)
328
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parents: 314
diff changeset
232
356
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diff changeset
233 @test Q isa TensorMapping{T,2,2} where T
328
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
234 @test Q' isa TensorMapping{T,2,2} where T
382
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
235
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
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diff changeset
236 v = ones(Float64, size(g))
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
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parents: 379
diff changeset
237 @test sum(Q*v) ≈ Lx*Ly
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parents: 379
diff changeset
238
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
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diff changeset
239 v = 2*ones(Float64, size(g))
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
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parents: 379
diff changeset
240 @test_broken sum(Q*v) ≈ 2*Lx*Ly
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
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parents: 379
diff changeset
241
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
242 @test Q*v == Q'*v
328
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
243 end
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
244
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
245 @testset "InverseDiagonalInnerProduct" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
246 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
247 L = 2.3
388
5223872485cd Clean up grid creation
Jonatan Werpers <jonatan@werpers.com>
parents: 387
diff changeset
248 g = EquidistantGrid(77, 0.0, L)
356
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parents: 338
diff changeset
249 H = DiagonalInnerProduct(g, op.quadratureClosure)
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
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diff changeset
250 Hi = InverseDiagonalInnerProduct(g,op.quadratureClosure)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
251 v = evalOn(g, x->sin(x))
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
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parents: 328
diff changeset
252
356
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diff changeset
253 @test Hi isa TensorMapping{T,1,1} where T
329
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
254 @test Hi' isa TensorMapping{T,1,1} where T
387
4686c3509b54 Switch to using isapprox operator
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parents: 385
diff changeset
255 @test Hi*H*v ≈ v
383
aaf8e331cb80 Remove collects around TensorMappingApplications
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diff changeset
256 @test Hi*v == Hi'*v
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
257 end
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
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parents: 328
diff changeset
258
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
259 @testset "InverseQuadrature" begin
594
cc86b920531a Change the readoperator function to use the .toml format
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parents: 586
diff changeset
260 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
329
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
261 Lx = 7.3
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
262 Ly = 8.2
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
263 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
264
356
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Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
265 Q = Quadrature(g, op.quadratureClosure)
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
266 Qinv = InverseQuadrature(g, op.quadratureClosure)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
267 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
268
356
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diff changeset
269 @test Qinv isa TensorMapping{T,2,2} where T
329
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
270 @test Qinv' isa TensorMapping{T,2,2} where T
383
aaf8e331cb80 Remove collects around TensorMappingApplications
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diff changeset
271 @test_broken Qinv*(Q*v) ≈ v
aaf8e331cb80 Remove collects around TensorMappingApplications
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diff changeset
272 @test Qinv*v == Qinv'*v
329
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
273 end
513
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274
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diff changeset
275 @testset "BoundaryRestrictrion" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
276 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
568
34d9e10f0001 Make grid larger in test to make sure there all kinds of regions are represented
Jonatan Werpers <jonatan@werpers.com>
parents: 567
diff changeset
277 g_1D = EquidistantGrid(11, 0.0, 1.0)
34d9e10f0001 Make grid larger in test to make sure there all kinds of regions are represented
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parents: 567
diff changeset
278 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0))
513
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
279
565
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diff changeset
280 @testset "Constructors" begin
576
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Jonatan Werpers <jonatan@werpers.com>
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diff changeset
281 @testset "1D" begin
580
0779713f95a2 Add constructor that infers T and N
Jonatan Werpers <jonatan@werpers.com>
parents: 578
diff changeset
282 e_l = BoundaryRestriction{Lower}(op.eClosure,size(g_1D)[1])
576
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diff changeset
283 @test e_l == BoundaryRestriction(g_1D,op.eClosure,Lower())
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parents: 575
diff changeset
284 @test e_l == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}())
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parents: 575
diff changeset
285 @test e_l isa TensorMapping{T,0,1} where T
513
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parents: 397
diff changeset
286
580
0779713f95a2 Add constructor that infers T and N
Jonatan Werpers <jonatan@werpers.com>
parents: 578
diff changeset
287 e_r = BoundaryRestriction{Upper}(op.eClosure,size(g_1D)[1])
576
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
288 @test e_r == BoundaryRestriction(g_1D,op.eClosure,Upper())
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
289 @test e_r == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}())
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parents: 575
diff changeset
290 @test e_r isa TensorMapping{T,0,1} where T
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parents: 575
diff changeset
291 end
513
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diff changeset
292
576
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diff changeset
293 @testset "2D" begin
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
294 e_w = boundary_restriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}())
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parents: 575
diff changeset
295 @test e_w isa InflatedTensorMapping
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parents: 575
diff changeset
296 @test e_w isa TensorMapping{T,1,2} where T
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parents: 575
diff changeset
297 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
298 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
299
15423a868d28 Restructure and extend tests for BoundaryRestriction
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parents: 562
diff changeset
300 e_l = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}())
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
301 e_r = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}())
513
547639572208 Get some kind of tested working implementation.
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parents: 397
diff changeset
302
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
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diff changeset
303 e_w = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}())
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
304 e_e = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}())
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
305 e_s = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}())
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
306 e_n = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}())
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
307
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
308 @testset "Sizes" begin
576
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Jonatan Werpers <jonatan@werpers.com>
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diff changeset
309 @testset "1D" begin
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
310 @test domain_size(e_l) == (11,)
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
311 @test domain_size(e_r) == (11,)
513
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parents: 397
diff changeset
312
576
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
313 @test range_size(e_l) == ()
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
314 @test range_size(e_r) == ()
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
315 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
316
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
317 @testset "2D" begin
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
318 @test domain_size(e_w) == (11,15)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
319 @test domain_size(e_e) == (11,15)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
320 @test domain_size(e_s) == (11,15)
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
321 @test domain_size(e_n) == (11,15)
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
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parents: 562
diff changeset
322
576
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
323 @test range_size(e_w) == (15,)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
324 @test range_size(e_e) == (15,)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
325 @test range_size(e_s) == (11,)
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
326 @test range_size(e_n) == (11,)
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
327 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
328 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
329
513
547639572208 Get some kind of tested working implementation.
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parents: 397
diff changeset
330
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
331 @testset "Application" begin
576
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Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
332 @testset "1D" begin
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
333 v = evalOn(g_1D,x->1+x^2)
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
334 u = fill(3.124)
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parents: 575
diff changeset
335 @test (e_l*v)[] == v[1]
1d4417ced79f Put test sets around 1d and 2d tests
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parents: 575
diff changeset
336 @test (e_r*v)[] == v[end]
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Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
337 @test (e_r*v)[1] == v[end]
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Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
338 @test e_l'*u == [u[]; zeros(10)]
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Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
339 @test e_r'*u == [zeros(10); u[]]
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Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
340 end
513
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diff changeset
341
576
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diff changeset
342 @testset "2D" begin
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parents: 575
diff changeset
343 v = rand(11, 15)
1d4417ced79f Put test sets around 1d and 2d tests
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diff changeset
344 u = fill(3.124)
513
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diff changeset
345
576
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diff changeset
346 @test e_w*v == v[1,:]
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diff changeset
347 @test e_e*v == v[end,:]
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348 @test e_s*v == v[:,1]
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diff changeset
349 @test e_n*v == v[:,end]
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350
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351
576
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diff changeset
352 g_x = rand(11)
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353 g_y = rand(15)
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diff changeset
354
576
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355 G_w = zeros(Float64, (11,15))
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diff changeset
356 G_w[1,:] = g_y
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357
576
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358 G_e = zeros(Float64, (11,15))
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359 G_e[end,:] = g_y
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diff changeset
360
576
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diff changeset
361 G_s = zeros(Float64, (11,15))
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362 G_s[:,1] = g_x
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363
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364 G_n = zeros(Float64, (11,15))
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diff changeset
365 G_n[:,end] = g_x
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diff changeset
366
576
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367 @test e_w'*g_y == G_w
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368 @test e_e'*g_y == G_e
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369 @test e_s'*g_x == G_s
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370 @test e_n'*g_x == G_n
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371 end
573
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372
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373 @testset "Regions" begin
576
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374 u = fill(3.124)
573
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375 @test (e_l'*u)[Index(1,Lower)] == 3.124
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376 @test (e_l'*u)[Index(2,Lower)] == 0
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377 @test (e_l'*u)[Index(6,Interior)] == 0
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378 @test (e_l'*u)[Index(10,Upper)] == 0
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379 @test (e_l'*u)[Index(11,Upper)] == 0
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380
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381 @test (e_r'*u)[Index(1,Lower)] == 0
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382 @test (e_r'*u)[Index(2,Lower)] == 0
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383 @test (e_r'*u)[Index(6,Interior)] == 0
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384 @test (e_r'*u)[Index(10,Upper)] == 0
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385 @test (e_r'*u)[Index(11,Upper)] == 3.124
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386 end
544
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387 end
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388
565
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389 @testset "Inferred" begin
568
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390 v = ones(Float64, 11)
565
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391 u = fill(1.)
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392
578
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393 @inferred apply(e_l, v)
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394 @inferred apply(e_r, v)
575
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395
578
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396 @inferred apply_transpose(e_l, u, 4)
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397 @inferred apply_transpose(e_l, u, Index(1,Lower))
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398 @inferred apply_transpose(e_l, u, Index(2,Lower))
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399 @inferred apply_transpose(e_l, u, Index(6,Interior))
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400 @inferred apply_transpose(e_l, u, Index(10,Upper))
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401 @inferred apply_transpose(e_l, u, Index(11,Upper))
575
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diff changeset
402
578
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diff changeset
403 @inferred apply_transpose(e_r, u, 4)
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404 @inferred apply_transpose(e_r, u, Index(1,Lower))
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405 @inferred apply_transpose(e_r, u, Index(2,Lower))
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406 @inferred apply_transpose(e_r, u, Index(6,Interior))
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407 @inferred apply_transpose(e_r, u, Index(10,Upper))
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diff changeset
408 @inferred apply_transpose(e_r, u, Index(11,Upper))
565
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diff changeset
409 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
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410
513
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411 end
314
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412 #
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diff changeset
413 # @testset "NormalDerivative" begin
594
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414 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
314
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415 # g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0))
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416 #
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417 # d_w = NormalDerivative(op, g, CartesianBoundary{1,Lower}())
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418 # d_e = NormalDerivative(op, g, CartesianBoundary{1,Upper}())
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419 # d_s = NormalDerivative(op, g, CartesianBoundary{2,Lower}())
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420 # d_n = NormalDerivative(op, g, CartesianBoundary{2,Upper}())
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421 #
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422 #
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423 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
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424 # v∂x = evalOn(g, (x,y)-> 2*x + y)
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diff changeset
425 # v∂y = evalOn(g, (x,y)-> 2*(y-1) + x)
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diff changeset
426 #
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427 # @test d_w isa TensorMapping{T,2,1} where T
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diff changeset
428 # @test d_w' isa TensorMapping{T,1,2} where T
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diff changeset
429 #
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diff changeset
430 # @test domain_size(d_w, (3,2)) == (2,)
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431 # @test domain_size(d_e, (3,2)) == (2,)
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432 # @test domain_size(d_s, (3,2)) == (3,)
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diff changeset
433 # @test domain_size(d_n, (3,2)) == (3,)
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434 #
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diff changeset
435 # @test size(d_w'*v) == (6,)
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436 # @test size(d_e'*v) == (6,)
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437 # @test size(d_s'*v) == (5,)
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diff changeset
438 # @test size(d_n'*v) == (5,)
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439 #
387
4686c3509b54 Switch to using isapprox operator
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diff changeset
440 # @test d_w'*v .≈ v∂x[1,:]
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441 # @test d_e'*v .≈ v∂x[5,:]
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diff changeset
442 # @test d_s'*v .≈ v∂y[:,1]
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diff changeset
443 # @test d_n'*v .≈ v∂y[:,6]
314
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444 #
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445 #
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diff changeset
446 # d_x_l = zeros(Float64, 5)
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447 # d_x_u = zeros(Float64, 5)
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448 # for i ∈ eachindex(d_x_l)
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449 # d_x_l[i] = op.dClosure[i-1]
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450 # d_x_u[i] = -op.dClosure[length(d_x_u)-i]
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451 # end
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452 #
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453 # d_y_l = zeros(Float64, 6)
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454 # d_y_u = zeros(Float64, 6)
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455 # for i ∈ eachindex(d_y_l)
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456 # d_y_l[i] = op.dClosure[i-1]
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457 # d_y_u[i] = -op.dClosure[length(d_y_u)-i]
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458 # end
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459 #
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diff changeset
460 # function prod_matrix(x,y)
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461 # G = zeros(Float64, length(x), length(y))
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462 # for I ∈ CartesianIndices(G)
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463 # G[I] = x[I[1]]*y[I[2]]
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464 # end
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465 #
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466 # return G
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467 # end
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468 #
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469 # g_x = [1,2,3,4.0,5]
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470 # g_y = [5,4,3,2,1.0,11]
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471 #
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472 # G_w = prod_matrix(d_x_l, g_y)
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473 # G_e = prod_matrix(d_x_u, g_y)
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474 # G_s = prod_matrix(g_x, d_y_l)
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475 # G_n = prod_matrix(g_x, d_y_u)
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476 #
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477 #
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478 # @test size(d_w*g_y) == (UnknownDim,6)
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479 # @test size(d_e*g_y) == (UnknownDim,6)
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480 # @test size(d_s*g_x) == (5,UnknownDim)
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481 # @test size(d_n*g_x) == (5,UnknownDim)
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482 #
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483 # # These tests should be moved to where they are possible (i.e we know what the grid should be)
387
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484 # @test_broken d_w*g_y .≈ G_w
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485 # @test_broken d_e*g_y .≈ G_e
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486 # @test_broken d_s*g_x .≈ G_s
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487 # @test_broken d_n*g_x .≈ G_n
314
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488 # end
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489 #
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490 # @testset "BoundaryQuadrature" begin
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491 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
314
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492 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0))
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493 #
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494 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}())
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495 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}())
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496 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}())
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497 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}())
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498 #
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499 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
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500 #
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501 # function get_quadrature(N)
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502 # qc = op.quadratureClosure
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503 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...)
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504 # @assert length(q) == N
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505 # return q
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506 # end
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507 #
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508 # v_w = v[1,:]
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509 # v_e = v[10,:]
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510 # v_s = v[:,1]
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511 # v_n = v[:,11]
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512 #
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513 # q_x = spacing(g)[1].*get_quadrature(10)
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514 # q_y = spacing(g)[2].*get_quadrature(11)
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515 #
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516 # @test H_w isa TensorOperator{T,1} where T
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517 #
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518 # @test domain_size(H_w, (3,)) == (3,)
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519 # @test domain_size(H_n, (3,)) == (3,)
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520 #
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521 # @test range_size(H_w, (3,)) == (3,)
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522 # @test range_size(H_n, (3,)) == (3,)
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523 #
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524 # @test size(H_w*v_w) == (11,)
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525 # @test size(H_e*v_e) == (11,)
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526 # @test size(H_s*v_s) == (10,)
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527 # @test size(H_n*v_n) == (10,)
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528 #
387
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529 # @test H_w*v_w .≈ q_y.*v_w
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530 # @test H_e*v_e .≈ q_y.*v_e
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531 # @test H_s*v_s .≈ q_x.*v_s
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532 # @test H_n*v_n .≈ q_x.*v_n
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533 #
383
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534 # @test H_w'*v_w == H_w'*v_w
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535 # @test H_e'*v_e == H_e'*v_e
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536 # @test H_s'*v_s == H_s'*v_s
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537 # @test H_n'*v_n == H_n'*v_n
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538 # end
338
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539
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540 end