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annotate test/LazyTensors/lazy_tensor_operations_test.jl @ 1005:becd95ba0fce refactor/lazy_tensors

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Add bounds checking for lazy tensor application and clea up tests a bit
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 20 Mar 2022 22:15:29 +0100
parents 7fd37aab84fe
children d9476fede83d
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1 using Test
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2 using Sbplib.LazyTensors
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3 using Sbplib.RegionIndices
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4
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5 using Tullio
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6
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7 @testset "Mapping transpose" begin
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8 struct DummyMapping{T,R,D} <: LazyTensor{T,R,D} end
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10 LazyTensors.apply(m::DummyMapping{T,R}, v, I::Vararg{Any,R}) where {T,R} = :apply
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11 LazyTensors.apply_transpose(m::DummyMapping{T,R,D}, v, I::Vararg{Any,D}) where {T,R,D} = :apply_transpose
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12
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13 LazyTensors.range_size(m::DummyMapping) = :range_size
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14 LazyTensors.domain_size(m::DummyMapping) = :domain_size
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16 m = DummyMapping{Float64,2,3}()
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17 @test m' isa LazyTensor{Float64, 3,2}
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18 @test m'' == m
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19 @test apply(m',zeros(Float64,(0,0)), 0, 0, 0) == :apply_transpose
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20 @test apply(m'',zeros(Float64,(0,0,0)), 0, 0) == :apply
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21 @test apply_transpose(m', zeros(Float64,(0,0,0)), 0, 0) == :apply
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22
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23 @test range_size(m') == :domain_size
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24 @test domain_size(m') == :range_size
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25 end
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28 @testset "LazyTensorApplication" begin
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29 struct SizeDoublingMapping{T,R,D} <: LazyTensor{T,R,D}
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30 domain_size::NTuple{D,Int}
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31 end
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32
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33 LazyTensors.apply(m::SizeDoublingMapping{T,R}, v, i::Vararg{Any,R}) where {T,R} = (:apply,v,i)
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34 LazyTensors.range_size(m::SizeDoublingMapping) = 2 .* m.domain_size
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35 LazyTensors.domain_size(m::SizeDoublingMapping) = m.domain_size
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36
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37 m = SizeDoublingMapping{Int, 1, 1}((3,))
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38 mm = SizeDoublingMapping{Int, 1, 1}((6,))
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39 v = [0,1,2]
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40 @test size(m*v) == 2 .*size(v)
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41 @test (m*v)[1] == (:apply,v,(1,))
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42 @test (mm*m*v)[1] == (:apply,m*v,(1,))
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43 @test (mm*m*v)[3] == (:apply,m*v,(3,))
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44 @test (mm*m*v)[6] == (:apply,m*v,(6,))
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45 @test_throws MethodError m*m
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46
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47 @test (m*v)[CartesianIndex(2)] == (:apply,v,(2,))
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48 @test (mm*m*v)[CartesianIndex(2)] == (:apply,m*v,(2,))
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49
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50 m = SizeDoublingMapping{Float64, 2, 2}((3,3))
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51 mm = SizeDoublingMapping{Float64, 2, 2}((6,6))
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52 v = ones(3,3)
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53 @test size(m*v) == 2 .*size(v)
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54 @test (m*v)[1,2] == (:apply,v,(1,2))
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55
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56 @test (m*v)[CartesianIndex(2,3)] == (:apply,v,(2,3))
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57 @test (mm*m*v)[CartesianIndex(4,3)] == (:apply,m*v,(4,3))
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58
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59 m = ScalingTensor(2,(3,))
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60 v = [1,2,3]
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61 @test m*v isa AbstractVector
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62 @test m*v == [2,4,6]
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63
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64 m = ScalingTensor(2,(2,2))
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65 v = [[1 2];[3 4]]
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66 @test m*v == [[2 4];[6 8]]
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67 @test (m*v)[2,1] == 6
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68
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69 @testset "Error on index out of bounds" begin
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70 m = SizeDoublingMapping{Int, 1, 1}((3,))
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71 v = [0,1,2]
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72
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73 @test_throws BoundsError (m*v)[0]
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74 @test_throws BoundsError (m*v)[7]
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75 end
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76
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77 @testset "Error on unmatched dimensions" begin
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78 v = [0,1,2]
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79 m = SizeDoublingMapping{Int, 2, 1}((3,))
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80 @test_throws MethodError m*ones(Int,2,2)
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81 @test_throws MethodError m*m*v
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82 end
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83
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84 @testset "Error on unmatched sizes" begin
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85 @test_throws SizeMismatch ScalingTensor(2,(2,))*ones(3)
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86 @test_throws SizeMismatch ScalingTensor(2,(2,))*ScalingTensor(2,(3,))*ones(3)
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87 end
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89
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90 @testset "Type calculation" begin
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91 m = ScalingTensor(2,(3,))
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92 v = [1.,2.,3.]
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93 @test m*v isa AbstractVector{Float64}
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94 @test m*v == [2.,4.,6.]
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95 @inferred m*v
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96 @inferred (m*v)[1]
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97
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98 m = ScalingTensor(2,(2,2))
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99 v = [[1. 2.];[3. 4.]]
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100 @test m*v == [[2. 4.];[6. 8.]]
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101 @test (m*v)[2,1] == 6.
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102 @inferred m*v
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103 @inferred (m*v)[1]
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104
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105 m = ScalingTensor(2. +2. *im,(3,))
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106 v = [1.,2.,3.]
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107 @test m*v isa AbstractVector{ComplexF64}
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108 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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109 @inferred m*v
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110 @inferred (m*v)[1]
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111
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112 m = ScalingTensor(1,(3,))
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113 v = [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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114 @test m*v isa AbstractVector{ComplexF64}
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115 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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116 @inferred m*v
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117 @inferred (m*v)[1]
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118
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119 m = ScalingTensor(2., (3,))
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120 v = [[1,2,3], [3,2,1],[1,3,1]]
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121 @test m*v isa AbstractVector{Vector{Float64}}
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122 @test m*v == [[2.,4.,6.], [6.,4.,2.],[2.,6.,2.]]
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123 @inferred m*v
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124 @inferred (m*v)[1]
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125 end
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126 end
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127
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129 @testset "LazyTensor binary operations" begin
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130 A = ScalingTensor(2.0, (3,))
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131 B = ScalingTensor(3.0, (3,))
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132
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133 v = [1.1,1.2,1.3]
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134 for i ∈ eachindex(v)
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135 @test ((A+B)*v)[i] == 2*v[i] + 3*v[i]
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136 end
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137
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138 for i ∈ eachindex(v)
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139 @test ((A-B)*v)[i] == 2*v[i] - 3*v[i]
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140 end
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141
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142 # TODO: Test with size changing tm
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143 # TODO: Test for mismatch in dimensions (SizeMismatch?)
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144
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145 @test range_size(A+B) == range_size(A) == range_size(B)
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146 @test domain_size(A+B) == domain_size(A) == domain_size(B)
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147
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148 @test ((A+B)*ComplexF64[1.1,1.2,1.3])[3] isa ComplexF64
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149 end
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150
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151
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152 @testset "LazyTensorComposition" begin
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153 A = rand(2,3)
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154 B = rand(3,4)
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155
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156 Ã = LazyLinearMap(A, (1,), (2,))
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157 B̃ = LazyLinearMap(B, (1,), (2,))
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158
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159 @test Ã∘B̃ isa LazyTensorComposition
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160 @test range_size(Ã∘B̃) == (2,)
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161 @test domain_size(Ã∘B̃) == (4,)
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162 @test_throws SizeMismatch B̃∘Ã
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163
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164 # @test @inbounds B̃∘Ã # Should not error even though dimensions don't match. (Since ]test runs with forced boundschecking this is currently not testable 2020-10-16)
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165
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166 v = rand(4)
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167 @test Ã∘B̃*v ≈ A*B*v rtol=1e-14
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168
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169 v = rand(2)
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170 @test (Ã∘B̃)'*v ≈ B'*A'*v rtol=1e-14
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171
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172 @test (Ã∘B̃*ComplexF64[1.,2.,3.,4.])[1] isa ComplexF64
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173 @test ((Ã∘B̃)'*ComplexF64[1.,2.])[1] isa ComplexF64
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174 end
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175
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176
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177 @testset "InflatedLazyTensor" begin
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178 I(sz...) = IdentityTensor(sz...)
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179
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180 Ã = rand(4,2)
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181 B̃ = rand(4,2,3)
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182 C̃ = rand(4,2,3)
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183
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184 A = LazyLinearMap(Ã,(1,),(2,))
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185 B = LazyLinearMap(B̃,(1,2),(3,))
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186 C = LazyLinearMap(C̃,(1,),(2,3))
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187
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188 @testset "Constructors" begin
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189 @test InflatedLazyTensor(I(3,2), A, I(4)) isa LazyTensor{Float64, 4, 4}
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190 @test InflatedLazyTensor(I(3,2), B, I(4)) isa LazyTensor{Float64, 5, 4}
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191 @test InflatedLazyTensor(I(3), C, I(2,3)) isa LazyTensor{Float64, 4, 5}
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192 @test InflatedLazyTensor(C, I(2,3)) isa LazyTensor{Float64, 3, 4}
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193 @test InflatedLazyTensor(I(3), C) isa LazyTensor{Float64, 2, 3}
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194 @test InflatedLazyTensor(I(3), I(2,3)) isa LazyTensor{Float64, 3, 3}
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195 end
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196
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197 @testset "Range and domain size" begin
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198 @test range_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,4,4)
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199 @test domain_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,2,4)
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200
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201 @test range_size(InflatedLazyTensor(I(3,2), B, I(4))) == (3,2,4,2,4)
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202 @test domain_size(InflatedLazyTensor(I(3,2), B, I(4))) == (3,2,3,4)
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203
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204 @test range_size(InflatedLazyTensor(I(3), C, I(2,3))) == (3,4,2,3)
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205 @test domain_size(InflatedLazyTensor(I(3), C, I(2,3))) == (3,2,3,2,3)
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206
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207 @inferred range_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,4,4)
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208 @inferred domain_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,2,4)
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209 end
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210
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211 @testset "Application" begin
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212 # Testing regular application and transposed application with inflation "before", "after" and "before and after".
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213 # The inflated tensor mappings are chosen to preserve, reduce and increase the dimension of the result compared to the input.
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214 tests = [
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215 (
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216 InflatedLazyTensor(I(3,2), A, I(4)),
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217 (v-> @tullio res[a,b,c,d] := Ã[c,i]*v[a,b,i,d]), # Expected result of apply
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218 (v-> @tullio res[a,b,c,d] := Ã[i,c]*v[a,b,i,d]), # Expected result of apply_transpose
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219 ),
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220 (
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221 InflatedLazyTensor(I(3,2), B, I(4)),
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222 (v-> @tullio res[a,b,c,d,e] := B̃[c,d,i]*v[a,b,i,e]),
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223 (v-> @tullio res[a,b,c,d] := B̃[i,j,c]*v[a,b,i,j,d]),
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224 ),
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225 (
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226 InflatedLazyTensor(I(3,2), C, I(4)),
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227 (v-> @tullio res[a,b,c,d] := C̃[c,i,j]*v[a,b,i,j,d]),
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228 (v-> @tullio res[a,b,c,d,e] := C̃[i,c,d]*v[a,b,i,e]),
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229 ),
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230 (
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231 InflatedLazyTensor(I(3,2), A),
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232 (v-> @tullio res[a,b,c] := Ã[c,i]*v[a,b,i]),
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233 (v-> @tullio res[a,b,c] := Ã[i,c]*v[a,b,i]),
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234 ),
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235 (
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236 InflatedLazyTensor(I(3,2), B),
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237 (v-> @tullio res[a,b,c,d] := B̃[c,d,i]*v[a,b,i]),
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238 (v-> @tullio res[a,b,c] := B̃[i,j,c]*v[a,b,i,j]),
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239 ),
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240 (
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241 InflatedLazyTensor(I(3,2), C),
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242 (v-> @tullio res[a,b,c] := C̃[c,i,j]*v[a,b,i,j]),
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243 (v-> @tullio res[a,b,c,d] := C̃[i,c,d]*v[a,b,i]),
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244 ),
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245 (
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246 InflatedLazyTensor(A,I(4)),
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247 (v-> @tullio res[a,b] := Ã[a,i]*v[i,b]),
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248 (v-> @tullio res[a,b] := Ã[i,a]*v[i,b]),
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249 ),
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250 (
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251 InflatedLazyTensor(B,I(4)),
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252 (v-> @tullio res[a,b,c] := B̃[a,b,i]*v[i,c]),
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253 (v-> @tullio res[a,b] := B̃[i,j,a]*v[i,j,b]),
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254 ),
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255 (
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256 InflatedLazyTensor(C,I(4)),
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257 (v-> @tullio res[a,b] := C̃[a,i,j]*v[i,j,b]),
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258 (v-> @tullio res[a,b,c] := C̃[i,a,b]*v[i,c]),
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259 ),
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260 ]
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261
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262 @testset "apply" begin
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263 for i ∈ 1:length(tests)
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264 tm = tests[i][1]
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265 v = rand(domain_size(tm)...)
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266 true_value = tests[i][2](v)
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267 @test tm*v ≈ true_value rtol=1e-14
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268 end
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269 end
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270
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271 @testset "apply_transpose" begin
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272 for i ∈ 1:length(tests)
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273 tm = tests[i][1]
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274 v = rand(range_size(tm)...)
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275 true_value = tests[i][3](v)
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276 @test tm'*v ≈ true_value rtol=1e-14
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277 end
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278 end
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279
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280 @testset "application to other type" begin
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281 tm = InflatedLazyTensor(I(3,2), A, I(4))
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282
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283 v = rand(ComplexF64, domain_size(tm)...)
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284 @test (tm*v)[1,2,3,1] isa ComplexF64
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285
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286 v = rand(ComplexF64, domain_size(tm')...)
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287 @test (tm'*v)[1,2,2,1] isa ComplexF64
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288 end
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289
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290 @testset "Inference of application" begin
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291 tm = InflatedLazyTensor(I(2,3),ScalingTensor(2.0, (3,2)),I(3,4))
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292 v = rand(domain_size(tm)...)
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293
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294 @inferred apply(tm,v,1,2,3,2,2,4)
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295 @inferred (tm*v)[1,2,3,2,2,4]
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296 end
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297 end
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298
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299 @testset "InflatedLazyTensor of InflatedLazyTensor" begin
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300 A = ScalingTensor(2.0,(2,3))
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301 itm = InflatedLazyTensor(I(3,2), A, I(4))
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302 @test InflatedLazyTensor(I(4), itm, I(2)) == InflatedLazyTensor(I(4,3,2), A, I(4,2))
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303 @test InflatedLazyTensor(itm, I(2)) == InflatedLazyTensor(I(3,2), A, I(4,2))
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304 @test InflatedLazyTensor(I(4), itm) == InflatedLazyTensor(I(4,3,2), A, I(4))
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305
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306 @test InflatedLazyTensor(I(2), I(2), I(2)) isa InflatedLazyTensor # The constructor should always return its type.
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307 end
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308 end
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309
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310 @testset "LazyOuterProduct" begin
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311 A = ScalingTensor(2.0, (5,))
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312 B = ScalingTensor(3.0, (3,))
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313 C = ScalingTensor(5.0, (3,2))
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314
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315 AB = LazyOuterProduct(A,B)
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316 @test AB isa LazyTensor{T,2,2} where T
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317 @test range_size(AB) == (5,3)
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318 @test domain_size(AB) == (5,3)
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319
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320 v = rand(range_size(AB)...)
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321 @test AB*v == 6*v
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322
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323 ABC = LazyOuterProduct(A,B,C)
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324
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325 @test ABC isa LazyTensor{T,4,4} where T
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326 @test range_size(ABC) == (5,3,3,2)
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327 @test domain_size(ABC) == (5,3,3,2)
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328
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329 @test A⊗B == AB
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330 @test A⊗B⊗C == ABC
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331
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332 A = rand(3,2)
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333 B = rand(2,4,3)
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334
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335 v₁ = rand(2,4,3)
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336 v₂ = rand(4,3,2)
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337
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338 Ã = LazyLinearMap(A,(1,),(2,))
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339 B̃ = LazyLinearMap(B,(1,),(2,3))
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340
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341 ÃB̃ = LazyOuterProduct(Ã,B̃)
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342 @tullio ABv[i,k] := A[i,j]*B[k,l,m]*v₁[j,l,m]
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343 @test ÃB̃*v₁ ≈ ABv
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344
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345 B̃Ã = LazyOuterProduct(B̃,Ã)
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346 @tullio BAv[k,i] := A[i,j]*B[k,l,m]*v₂[l,m,j]
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347 @test B̃Ã*v₂ ≈ BAv
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348
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349 @testset "Indentity mapping arguments" begin
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350 @test LazyOuterProduct(IdentityTensor(3,2), IdentityTensor(1,2)) == IdentityTensor(3,2,1,2)
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351
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352 Ã = LazyLinearMap(A,(1,),(2,))
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353 @test LazyOuterProduct(IdentityTensor(3,2), Ã) == InflatedLazyTensor(IdentityTensor(3,2),Ã)
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354 @test LazyOuterProduct(Ã, IdentityTensor(3,2)) == InflatedLazyTensor(Ã,IdentityTensor(3,2))
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355
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356 I1 = IdentityTensor(3,2)
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357 I2 = IdentityTensor(4)
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358 @test I1⊗Ã⊗I2 == InflatedLazyTensor(I1, Ã, I2)
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359 end
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360 end