Mercurial > repos > public > sbplib_julia
annotate test/testLazyTensors.jl @ 529:dfad4c16bedb refactor/inflated_tensormapping_tests
Fix typo
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 25 Nov 2020 18:02:30 +0100 |
parents | 78090ec3074d |
children | fc0f942b8792 |
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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 "LazyTensors" begin |
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8 |
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9 @testset "Generic Mapping methods" begin |
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10 struct DummyMapping{T,R,D} <: TensorMapping{T,R,D} end |
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11 LazyTensors.apply(m::DummyMapping{T,R,D}, v, i::NTuple{R,Index{<:Region}}) where {T,R,D} = :apply |
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12 @test range_dim(DummyMapping{Int,2,3}()) == 2 |
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13 @test domain_dim(DummyMapping{Int,2,3}()) == 3 |
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14 @test apply(DummyMapping{Int,2,3}(), zeros(Int, (0,0,0)),(Index{Unknown}(0),Index{Unknown}(0))) == :apply |
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15 @test eltype(DummyMapping{Int,2,3}()) == Int |
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16 @test eltype(DummyMapping{Float64,2,3}()) == Float64 |
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17 end |
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18 |
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19 @testset "Mapping transpose" begin |
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20 struct DummyMapping{T,R,D} <: TensorMapping{T,R,D} end |
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21 |
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22 LazyTensors.apply(m::DummyMapping{T,R,D}, v, I::Vararg{Index{<:Region},R}) where {T,R,D} = :apply |
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23 LazyTensors.apply_transpose(m::DummyMapping{T,R,D}, v, I::Vararg{Index{<:Region},D}) where {T,R,D} = :apply_transpose |
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24 |
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25 LazyTensors.range_size(m::DummyMapping{T,R,D}) where {T,R,D} = :range_size |
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26 LazyTensors.domain_size(m::DummyMapping{T,R,D}) where {T,R,D} = :domain_size |
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27 |
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28 m = DummyMapping{Float64,2,3}() |
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29 I = Index{Unknown}(0) |
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30 @test m' isa TensorMapping{Float64, 3,2} |
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31 @test m'' == m |
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32 @test apply(m',zeros(Float64,(0,0)), I, I, I) == :apply_transpose |
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33 @test apply(m'',zeros(Float64,(0,0,0)), I, I) == :apply |
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34 @test apply_transpose(m', zeros(Float64,(0,0,0)), I, I) == :apply |
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35 |
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36 @test range_size(m') == :domain_size |
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37 @test domain_size(m') == :range_size |
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38 end |
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39 |
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40 @testset "TensorApplication" begin |
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41 struct SizeDoublingMapping{T,R,D} <: TensorMapping{T,R,D} |
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42 domain_size::NTuple{D,Int} |
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43 end |
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44 |
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45 LazyTensors.apply(m::SizeDoublingMapping{T,R,D}, v, i::Vararg{Index{<:Region},R}) where {T,R,D} = (:apply,v,i) |
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46 LazyTensors.range_size(m::SizeDoublingMapping) = 2 .* m.domain_size |
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47 LazyTensors.domain_size(m::SizeDoublingMapping) = m.domain_size |
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48 |
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49 |
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50 m = SizeDoublingMapping{Int, 1, 1}((3,)) |
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51 v = [0,1,2] |
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52 @test m*v isa AbstractVector{Int} |
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53 @test size(m*v) == 2 .*size(v) |
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54 @test (m*v)[Index{Upper}(0)] == (:apply,v,(Index{Upper}(0),)) |
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55 @test (m*v)[0] == (:apply,v,(Index{Unknown}(0),)) |
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56 @test m*m*v isa AbstractVector{Int} |
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57 @test (m*m*v)[Index{Upper}(1)] == (:apply,m*v,(Index{Upper}(1),)) |
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58 @test (m*m*v)[1] == (:apply,m*v,(Index{Unknown}(1),)) |
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59 @test (m*m*v)[Index{Interior}(3)] == (:apply,m*v,(Index{Interior}(3),)) |
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60 @test (m*m*v)[3] == (:apply,m*v,(Index{Unknown}(3),)) |
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61 @test (m*m*v)[Index{Lower}(6)] == (:apply,m*v,(Index{Lower}(6),)) |
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62 @test (m*m*v)[6] == (:apply,m*v,(Index{Unknown}(6),)) |
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63 @test_broken BoundsError == (m*m*v)[0] |
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64 @test_broken BoundsError == (m*m*v)[7] |
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65 @test_throws MethodError m*m |
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66 |
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67 m = SizeDoublingMapping{Int, 2, 1}((3,)) |
276 | 68 @test_throws MethodError m*ones(Int,2,2) |
69 @test_throws MethodError m*m*v | |
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70 |
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71 m = SizeDoublingMapping{Float64, 2, 2}((3,3)) |
276 | 72 v = ones(3,3) |
73 I = (Index{Lower}(1),Index{Interior}(2)); | |
74 @test size(m*v) == 2 .*size(v) | |
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75 @test (m*v)[I] == (:apply,v,I) |
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76 |
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77 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
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78 λ::T |
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79 size::NTuple{D,Int} |
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80 end |
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81 |
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82 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Index,D}) where {T,D} = m.λ*v[I] |
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83 LazyTensors.range_size(m::ScalingOperator) = m.size |
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84 LazyTensors.domain_size(m::ScalingOperator) = m.size |
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85 |
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86 m = ScalingOperator{Int,1}(2,(3,)) |
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87 v = [1,2,3] |
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88 @test m*v isa AbstractVector |
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89 @test m*v == [2,4,6] |
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90 |
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91 m = ScalingOperator{Int,2}(2,(2,2)) |
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92 v = [[1 2];[3 4]] |
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93 @test m*v == [[2 4];[6 8]] |
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94 I = (Index{Upper}(2),Index{Lower}(1)) |
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95 @test (m*v)[I] == 6 |
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96 end |
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97 |
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98 @testset "TensorMapping binary operations" begin |
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99 struct ScalarMapping{T,R,D} <: TensorMapping{T,R,D} |
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100 λ::T |
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101 range_size::NTuple{R,Int} |
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102 domain_size::NTuple{D,Int} |
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103 end |
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104 |
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105 LazyTensors.apply(m::ScalarMapping{T,R,D}, v, I::Vararg{Index{<:Region}}) where {T,R,D} = m.λ*v[I...] |
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106 LazyTensors.range_size(m::ScalarMapping) = m.domain_size |
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107 LazyTensors.domain_size(m::ScalarMapping) = m.range_size |
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108 |
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109 A = ScalarMapping{Float64,1,1}(2.0, (3,), (3,)) |
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110 B = ScalarMapping{Float64,1,1}(3.0, (3,), (3,)) |
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111 |
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112 v = [1.1,1.2,1.3] |
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113 for i ∈ eachindex(v) |
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114 @test ((A+B)*v)[i] == 2*v[i] + 3*v[i] |
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115 end |
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116 |
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117 for i ∈ eachindex(v) |
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118 @test ((A-B)*v)[i] == 2*v[i] - 3*v[i] |
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119 end |
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120 |
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121 @test range_size(A+B) == range_size(A) == range_size(B) |
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122 @test domain_size(A+B) == domain_size(A) == domain_size(B) |
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123 end |
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125 @testset "LazyArray" begin |
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126 @testset "LazyConstantArray" begin |
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127 @test LazyTensors.LazyConstantArray(3,(3,2)) isa LazyArray{Int,2} |
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128 |
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129 lca = LazyTensors.LazyConstantArray(3.0,(3,2)) |
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130 @test eltype(lca) == Float64 |
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131 @test ndims(lca) == 2 |
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132 @test size(lca) == (3,2) |
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133 @test lca[2] == 3.0 |
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134 end |
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135 struct DummyArray{T,D, T1<:AbstractArray{T,D}} <: LazyArray{T,D} |
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136 data::T1 |
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137 end |
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138 Base.size(v::DummyArray) = size(v.data) |
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139 Base.getindex(v::DummyArray{T,D}, I::Vararg{Int,D}) where {T,D} = v.data[I...] |
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140 |
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141 # Test lazy operations |
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142 v1 = [1, 2.3, 4] |
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143 v2 = [1., 2, 3] |
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144 s = 3.4 |
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145 r_add_v = v1 .+ v2 |
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146 r_sub_v = v1 .- v2 |
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147 r_times_v = v1 .* v2 |
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148 r_div_v = v1 ./ v2 |
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149 r_add_s = v1 .+ s |
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150 r_sub_s = v1 .- s |
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151 r_times_s = v1 .* s |
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152 r_div_s = v1 ./ s |
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153 @test isa(v1 +̃ v2, LazyArray) |
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154 @test isa(v1 -̃ v2, LazyArray) |
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155 @test isa(v1 *̃ v2, LazyArray) |
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156 @test isa(v1 /̃ v2, LazyArray) |
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157 @test isa(v1 +̃ s, LazyArray) |
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158 @test isa(v1 -̃ s, LazyArray) |
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159 @test isa(v1 *̃ s, LazyArray) |
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160 @test isa(v1 /̃ s, LazyArray) |
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161 @test isa(s +̃ v1, LazyArray) |
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162 @test isa(s -̃ v1, LazyArray) |
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163 @test isa(s *̃ v1, LazyArray) |
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164 @test isa(s /̃ v1, LazyArray) |
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165 for i ∈ eachindex(v1) |
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166 @test (v1 +̃ v2)[i] == r_add_v[i] |
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167 @test (v1 -̃ v2)[i] == r_sub_v[i] |
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168 @test (v1 *̃ v2)[i] == r_times_v[i] |
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169 @test (v1 /̃ v2)[i] == r_div_v[i] |
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170 @test (v1 +̃ s)[i] == r_add_s[i] |
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171 @test (v1 -̃ s)[i] == r_sub_s[i] |
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172 @test (v1 *̃ s)[i] == r_times_s[i] |
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173 @test (v1 /̃ s)[i] == r_div_s[i] |
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174 @test (s +̃ v1)[i] == r_add_s[i] |
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175 @test (s -̃ v1)[i] == -r_sub_s[i] |
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176 @test (s *̃ v1)[i] == r_times_s[i] |
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177 @test (s /̃ v1)[i] == 1/r_div_s[i] |
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178 end |
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179 @test_throws BoundsError (v1 +̃ v2)[4] |
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180 v2 = [1., 2, 3, 4] |
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181 # Test that size of arrays is asserted when not specified inbounds |
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182 # TODO: Replace these errors with SizeMismatch |
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183 @test_throws DimensionMismatch v1 +̃ v2 |
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184 |
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185 # Test operations on LazyArray |
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186 v1 = DummyArray([1, 2.3, 4]) |
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187 v2 = [1., 2, 3] |
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188 @test isa(v1 + v2, LazyArray) |
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189 @test isa(v2 + v1, LazyArray) |
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190 @test isa(v1 - v2, LazyArray) |
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191 @test isa(v2 - v1, LazyArray) |
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192 for i ∈ eachindex(v2) |
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193 @test (v1 + v2)[i] == (v2 + v1)[i] == r_add_v[i] |
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194 @test (v1 - v2)[i] == -(v2 - v1)[i] == r_sub_v[i] |
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195 end |
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196 @test_throws BoundsError (v1 + v2)[4] |
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197 v2 = [1., 2, 3, 4] |
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198 # Test that size of arrays is asserted when not specified inbounds |
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199 # TODO: Replace these errors with SizeMismatch |
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200 @test_throws DimensionMismatch v1 + v2 |
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201 end |
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202 |
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203 |
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204 @testset "LazyFunctionArray" begin |
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205 @test LazyFunctionArray(i->i^2, (3,)) == [1,4,9] |
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206 @test LazyFunctionArray((i,j)->i*j, (3,2)) == [ |
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207 1 2; |
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208 2 4; |
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209 3 6; |
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210 ] |
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211 |
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212 @test size(LazyFunctionArray(i->i^2, (3,))) == (3,) |
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213 @test size(LazyFunctionArray((i,j)->i*j, (3,2))) == (3,2) |
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215 @inferred LazyFunctionArray(i->i^2, (3,))[2] |
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216 |
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217 @test_throws BoundsError LazyFunctionArray(i->i^2, (3,))[4] |
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218 @test_throws BoundsError LazyFunctionArray((i,j)->i*j, (3,2))[4,2] |
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219 @test_throws BoundsError LazyFunctionArray((i,j)->i*j, (3,2))[2,3] |
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220 |
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221 end |
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222 |
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223 @testset "TensorMappingComposition" begin |
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224 A = rand(2,3) |
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225 B = rand(3,4) |
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226 |
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227 Ã = LazyLinearMap(A, (1,), (2,)) |
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228 B̃ = LazyLinearMap(B, (1,), (2,)) |
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229 |
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230 @test Ã∘B̃ isa TensorMappingComposition |
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231 @test range_size(Ã∘B̃) == (2,) |
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232 @test domain_size(Ã∘B̃) == (4,) |
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233 @test_throws SizeMismatch B̃∘Ã |
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234 |
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235 # @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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236 |
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237 v = rand(4) |
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238 @test Ã∘B̃*v ≈ A*B*v rtol=1e-14 |
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239 |
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240 v = rand(2) |
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241 @test (Ã∘B̃)'*v ≈ B'*A'*v rtol=1e-14 |
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242 end |
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243 |
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244 @testset "LazyLinearMap" begin |
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245 # Test a standard matrix-vector product |
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246 # mapping vectors of size 4 to vectors of size 3. |
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247 A = rand(3,4) |
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248 Ã = LazyLinearMap(A, (1,), (2,)) |
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249 v = rand(4) |
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250 w = rand(3) |
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251 |
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252 @test à isa LazyLinearMap{T,1,1} where T |
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253 @test à isa TensorMapping{T,1,1} where T |
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254 @test range_size(Ã) == (3,) |
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255 @test domain_size(Ã) == (4,) |
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256 |
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257 @test Ã*ones(4) ≈ A*ones(4) atol=5e-13 |
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258 @test Ã*v ≈ A*v atol=5e-13 |
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259 @test Ã'*w ≈ A'*w |
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260 |
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261 A = rand(2,3,4) |
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262 @test_throws DomainError LazyLinearMap(A, (3,1), (2,)) |
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263 |
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264 # Test more exotic mappings |
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265 B = rand(3,4,2) |
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266 # Map vectors of size 2 to matrices of size (3,4) |
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267 B̃ = LazyLinearMap(B, (1,2), (3,)) |
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268 v = rand(2) |
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269 |
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270 @test range_size(B̃) == (3,4) |
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271 @test domain_size(B̃) == (2,) |
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272 @test B̃ isa TensorMapping{T,2,1} where T |
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273 @test B̃*ones(2) ≈ B[:,:,1] + B[:,:,2] atol=5e-13 |
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274 @test B̃*v ≈ B[:,:,1]*v[1] + B[:,:,2]*v[2] atol=5e-13 |
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275 |
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276 # Map matrices of size (3,2) to vectors of size 4 |
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277 B̃ = LazyLinearMap(B, (2,), (1,3)) |
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278 v = rand(3,2) |
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279 |
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280 @test range_size(B̃) == (4,) |
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281 @test domain_size(B̃) == (3,2) |
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282 @test B̃ isa TensorMapping{T,1,2} where T |
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283 @test B̃*ones(3,2) ≈ B[1,:,1] + B[2,:,1] + B[3,:,1] + |
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284 B[1,:,2] + B[2,:,2] + B[3,:,2] atol=5e-13 |
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285 @test B̃*v ≈ B[1,:,1]*v[1,1] + B[2,:,1]*v[2,1] + B[3,:,1]*v[3,1] + |
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286 B[1,:,2]v[1,2] + B[2,:,2]*v[2,2] + B[3,:,2]*v[3,2] atol=5e-13 |
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287 |
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288 |
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289 # TODO: |
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290 # @inferred (B̃*v)[2] |
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291 end |
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292 |
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293 |
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294 @testset "IdentityMapping" begin |
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295 @test IdentityMapping{Float64}((4,5)) isa IdentityMapping{T,2} where T |
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296 @test IdentityMapping{Float64}((4,5)) isa TensorMapping{T,2,2} where T |
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297 @test IdentityMapping{Float64}((4,5)) == IdentityMapping{Float64}(4,5) |
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298 |
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299 @test IdentityMapping(3,2) isa IdentityMapping{Float64,2} |
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300 |
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301 for sz ∈ [(4,5),(3,),(5,6,4)] |
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302 I = IdentityMapping{Float64}(sz) |
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303 v = rand(sz...) |
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304 @test I*v == v |
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305 @test I'*v == v |
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306 |
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307 @test range_size(I) == sz |
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308 @test domain_size(I) == sz |
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309 end |
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310 |
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311 I = IdentityMapping{Float64}((4,5)) |
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312 v = rand(4,5) |
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313 @inferred (I*v)[3,2] |
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314 @inferred (I'*v)[3,2] |
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315 @inferred range_size(I) |
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316 |
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317 @inferred range_dim(I) |
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318 @inferred domain_dim(I) |
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319 |
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320 Ã = rand(4,2) |
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321 A = LazyLinearMap(Ã,(1,),(2,)) |
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322 I1 = IdentityMapping{Float64}(2) |
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323 I2 = IdentityMapping{Float64}(4) |
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324 @test A∘I1 == A |
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325 @test I2∘A == A |
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326 @test I1∘I1 == I1 |
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327 @test_throws SizeMismatch I1∘A |
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328 @test_throws SizeMismatch A∘I2 |
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329 @test_throws SizeMismatch I1∘I2 |
377
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330 end |
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331 |
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332 @testset "InflatedTensorMapping" begin |
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333 I(sz...) = IdentityMapping(sz...) |
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334 |
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335 Ã = rand(4,2) |
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336 B̃ = rand(4,2,3) |
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337 C̃ = rand(4,2,3) |
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338 |
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339 A = LazyLinearMap(Ã,(1,),(2,)) |
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340 B = LazyLinearMap(B̃,(1,2),(3,)) |
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341 C = LazyLinearMap(C̃,(1,),(2,3)) |
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342 |
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343 @testset "Constructors" begin |
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344 @test InflatedTensorMapping(I(3,2), A, I(4)) isa TensorMapping{Float64, 4, 4} |
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345 @test InflatedTensorMapping(I(3,2), B, I(4)) isa TensorMapping{Float64, 5, 4} |
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346 @test InflatedTensorMapping(I(3), C, I(2,3)) isa TensorMapping{Float64, 4, 5} |
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347 @test InflatedTensorMapping(C, I(2,3)) isa TensorMapping{Float64, 3, 4} |
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348 @test InflatedTensorMapping(I(3), C) isa TensorMapping{Float64, 2, 3} |
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349 @test InflatedTensorMapping(I(3), I(2,3)) isa TensorMapping{Float64, 3, 3} |
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350 end |
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351 |
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352 @testset "Range and domain size" begin |
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353 @test range_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,4,4) |
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354 @test domain_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,2,4) |
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355 |
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356 @test range_size(InflatedTensorMapping(I(3,2), B, I(4))) == (3,2,4,2,4) |
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357 @test domain_size(InflatedTensorMapping(I(3,2), B, I(4))) == (3,2,3,4) |
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358 |
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359 @test range_size(InflatedTensorMapping(I(3), C, I(2,3))) == (3,4,2,3) |
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360 @test domain_size(InflatedTensorMapping(I(3), C, I(2,3))) == (3,2,3,2,3) |
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361 |
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362 @inferred range_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,4,4) |
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363 @inferred domain_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,2,4) |
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364 end |
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365 |
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366 @testset "Application" begin |
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368 # The inflated tensor mappings are chosen to preserve, reduce and increase the dimension of the result compared to the input. |
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369 tests = [ |
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370 ( |
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371 InflatedTensorMapping(I(3,2), A, I(4)), |
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372 (v-> @tullio res[a,b,c,d] := Ã[c,i]*v[a,b,i,d]), |
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373 ), |
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374 ( |
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375 InflatedTensorMapping(I(3,2), B, I(4)), |
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376 (v-> @tullio res[a,b,c,d,e] := B̃[c,d,i]*v[a,b,i,e]), |
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377 ), |
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378 ( |
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379 InflatedTensorMapping(I(3,2), C, I(4)), |
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380 (v-> @tullio res[a,b,c,d] := C̃[c,i,j]*v[a,b,i,j,d]), |
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381 ), |
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382 ( |
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383 InflatedTensorMapping(I(3,2), A), |
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384 (v-> @tullio res[a,b,c] := Ã[c,i]*v[a,b,i]), |
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385 ), |
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386 ( |
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387 InflatedTensorMapping(I(3,2), B), |
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388 (v-> @tullio res[a,b,c,d] := B̃[c,d,i]*v[a,b,i]), |
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389 ), |
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390 ( |
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391 InflatedTensorMapping(I(3,2), C), |
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392 (v-> @tullio res[a,b,c] := C̃[c,i,j]*v[a,b,i,j]), |
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393 ), |
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394 ( |
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395 InflatedTensorMapping(A,I(4)), |
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396 (v-> @tullio res[a,b] := Ã[a,i]*v[i,b]), |
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397 ), |
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398 ( |
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399 InflatedTensorMapping(B,I(4)), |
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400 (v-> @tullio res[a,b,c] := B̃[a,b,i]*v[i,c]), |
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401 ), |
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402 ( |
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403 InflatedTensorMapping(C,I(4)), |
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404 (v-> @tullio res[a,b] := C̃[a,i,j]*v[i,j,b]), |
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405 ), |
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406 ] |
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407 |
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408 for i ∈ 1:length(tests) |
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409 tm = tests[i][1] |
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410 v = rand(domain_size(tm)...) |
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411 true_value = tests[i][2](v) |
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412 @test tm*v ≈ true_value rtol=1e-14 |
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413 end |
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414 |
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415 @testset "Inference of application" begin |
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416 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
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417 λ::T |
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418 size::NTuple{D,Int} |
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419 end |
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420 |
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421 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Index,D}) where {T,D} = m.λ*v[I] |
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422 LazyTensors.range_size(m::ScalingOperator) = m.size |
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423 LazyTensors.domain_size(m::ScalingOperator) = m.size |
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424 |
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425 tm = InflatedTensorMapping(I(2,3),ScalingOperator(2.0, (3,2)),I(3,4)) |
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426 v = rand(domain_size(tm)...) |
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427 |
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428 @inferred LazyTensors.split_index(tm,1,2,3,2,2,4) |
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429 @inferred apply(tm,v,Index{Unknown}.((1,2,3,2,2,4))...) |
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430 @inferred (tm*v)[1,2,3,2,2,4] |
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431 end |
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432 end |
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433 |
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434 @testset "InflatedTensorMapping of InflatedTensorMapping" begin |
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435 A = ScalingOperator(2.0,(2,3)) |
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436 itm = InflatedTensorMapping(I(3,2), A, I(4)) |
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437 @test InflatedTensorMapping(I(4), itm, I(2)) == InflatedTensorMapping(I(4,3,2), A, I(4,2)) |
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438 @test InflatedTensorMapping(itm, I(2)) == InflatedTensorMapping(I(3,2), A, I(4,2)) |
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439 @test InflatedTensorMapping(I(4), itm) == InflatedTensorMapping(I(4,3,2), A, I(4)) |
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440 |
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441 @test InflatedTensorMapping(I(2), I(2), I(2)) isa InflatedTensorMapping # The constructor should always return its type. |
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442 end |
429
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443 end |
448
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444 |
456
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445 @testset "slice_tuple" begin |
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446 @test LazyTensors.slice_tuple((1,2,3),Val(1), Val(3)) == (1,2,3) |
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447 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(2), Val(5)) == (2,3,4,5) |
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448 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(1), Val(3)) == (1,2,3) |
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449 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(4), Val(6)) == (4,5,6) |
448
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450 end |
456
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451 |
457
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452 @testset "flatten_tuple" begin |
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453 @test LazyTensors.flatten_tuple((1,)) == (1,) |
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454 @test LazyTensors.flatten_tuple((1,2,3,4,5,6)) == (1,2,3,4,5,6) |
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455 @test LazyTensors.flatten_tuple((1,2,(3,4),5,6)) == (1,2,3,4,5,6) |
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456 @test LazyTensors.flatten_tuple((1,2,(3,(4,5)),6)) == (1,2,3,4,5,6) |
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457 @test LazyTensors.flatten_tuple(((1,2),(3,4),(5,),6)) == (1,2,3,4,5,6) |
456
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458 end |
457
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459 |
468
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460 |
477 | 461 @testset "LazyOuterProduct" begin |
470
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462 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
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463 λ::T |
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464 size::NTuple{D,Int} |
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465 end |
468
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466 |
470
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467 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Index,D}) where {T,D} = m.λ*v[I] |
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468 LazyTensors.range_size(m::ScalingOperator) = m.size |
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469 LazyTensors.domain_size(m::ScalingOperator) = m.size |
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470 |
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471 A = ScalingOperator(2.0, (5,)) |
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472 B = ScalingOperator(3.0, (3,)) |
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473 C = ScalingOperator(5.0, (3,2)) |
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474 |
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475 AB = LazyOuterProduct(A,B) |
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476 @test AB isa TensorMapping{T,2,2} where T |
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477 @test range_size(AB) == (5,3) |
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478 @test domain_size(AB) == (5,3) |
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479 |
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480 v = rand(range_size(AB)...) |
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481 @test AB*v == 6*v |
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482 |
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483 ABC = LazyOuterProduct(A,B,C) |
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484 |
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485 @test ABC isa TensorMapping{T,4,4} where T |
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486 @test range_size(ABC) == (5,3,3,2) |
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487 @test domain_size(ABC) == (5,3,3,2) |
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488 |
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489 @test A⊗B == AB |
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490 @test A⊗B⊗C == ABC |
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491 |
477 | 492 A = rand(3,2) |
493 B = rand(2,4,3) | |
494 | |
495 v₁ = rand(2,4,3) | |
496 v₂ = rand(4,3,2) | |
497 | |
498 Ã = LazyLinearMap(A,(1,),(2,)) | |
499 B̃ = LazyLinearMap(B,(1,),(2,3)) | |
500 | |
501 ÃB̃ = LazyOuterProduct(Ã,B̃) | |
502 @tullio ABv[i,k] := A[i,j]*B[k,l,m]*v₁[j,l,m] | |
503 @test ÃB̃*v₁ ≈ ABv | |
504 | |
505 B̃Ã = LazyOuterProduct(B̃,Ã) | |
506 @tullio BAv[k,i] := A[i,j]*B[k,l,m]*v₂[l,m,j] | |
507 @test B̃Ã*v₂ ≈ BAv | |
468
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508 |
491
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509 @testset "Indentity mapping arguments" begin |
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510 @test LazyOuterProduct(IdentityMapping(3,2), IdentityMapping(1,2)) == IdentityMapping(3,2,1,2) |
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511 |
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512 Ã = LazyLinearMap(A,(1,),(2,)) |
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513 @test LazyOuterProduct(IdentityMapping(3,2), Ã) == InflatedTensorMapping(IdentityMapping(3,2),Ã) |
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514 @test LazyOuterProduct(Ã, IdentityMapping(3,2)) == InflatedTensorMapping(Ã,IdentityMapping(3,2)) |
500 | 515 |
516 I1 = IdentityMapping(3,2) | |
517 I2 = IdentityMapping(4) | |
518 @test I1⊗Ã⊗I2 == InflatedTensorMapping(I1, Ã, I2) | |
491
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519 end |
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520 |
457
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521 end |
468
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522 |
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523 end |