annotate test/LazyTensors/lazy_tensor_operations_test.jl @ 1878:b12e28a03b2e refactor/lazy_tensors/elementwise_ops

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author Jonatan Werpers <jonatan@werpers.com>
date Mon, 27 Jan 2025 17:10:59 +0100
parents 4bd998069053
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1 using Test
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2 using Diffinitive.LazyTensors
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3 using Diffinitive.RegionIndices
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5 using Tullio
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6
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7 struct TransposableDummyMapping{T,R,D} <: LazyTensor{T,R,D} end
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9 LazyTensors.apply(m::TransposableDummyMapping{T,R}, v, I::Vararg{Any,R}) where {T,R} = :apply
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10 LazyTensors.apply_transpose(m::TransposableDummyMapping{T,R,D}, v, I::Vararg{Any,D}) where {T,R,D} = :apply_transpose
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11
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12 LazyTensors.range_size(m::TransposableDummyMapping) = :range_size
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13 LazyTensors.domain_size(m::TransposableDummyMapping) = :domain_size
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15
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16 struct SizeDoublingMapping{T,R,D} <: LazyTensor{T,R,D}
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17 domain_size::NTuple{D,Int}
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18 end
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19
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20 LazyTensors.apply(m::SizeDoublingMapping{T,R}, v, i::Vararg{Any,R}) where {T,R} = (:apply,v,i)
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21 LazyTensors.range_size(m::SizeDoublingMapping) = 2 .* m.domain_size
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22 LazyTensors.domain_size(m::SizeDoublingMapping) = m.domain_size
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25 @testset "Mapping transpose" begin
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26 m = TransposableDummyMapping{Float64,2,3}()
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27 @test m' isa LazyTensor{Float64, 3,2}
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28 @test m'' == m
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29 @test apply(m',zeros(Float64,(0,0)), 0, 0, 0) == :apply_transpose
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30 @test apply(m'',zeros(Float64,(0,0,0)), 0, 0) == :apply
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31 @test apply_transpose(m', zeros(Float64,(0,0,0)), 0, 0) == :apply
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32
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33 @test range_size(m') == :domain_size
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34 @test domain_size(m') == :range_size
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35 end
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36
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37
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38 @testset "TensorApplication" begin
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39 m = SizeDoublingMapping{Int, 1, 1}((3,))
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40 mm = SizeDoublingMapping{Int, 1, 1}((6,))
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41 v = [0,1,2]
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42 @test size(m*v) == 2 .*size(v)
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43 @test (m*v)[1] == (:apply,v,(1,))
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44 @test (mm*m*v)[1] == (:apply,m*v,(1,))
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45 @test (mm*m*v)[3] == (:apply,m*v,(3,))
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46 @test (mm*m*v)[6] == (:apply,m*v,(6,))
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47 @test_throws MethodError m*m
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49 @test (m*v)[CartesianIndex(2)] == (:apply,v,(2,))
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50 @test (mm*m*v)[CartesianIndex(2)] == (:apply,m*v,(2,))
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52 m = SizeDoublingMapping{Float64, 2, 2}((3,3))
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53 mm = SizeDoublingMapping{Float64, 2, 2}((6,6))
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54 v = ones(3,3)
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55 @test size(m*v) == 2 .*size(v)
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56 @test (m*v)[1,2] == (:apply,v,(1,2))
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57
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58 @test (m*v)[CartesianIndex(2,3)] == (:apply,v,(2,3))
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59 @test (mm*m*v)[CartesianIndex(4,3)] == (:apply,m*v,(4,3))
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60
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61 m = ScalingTensor(2,(3,))
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62 v = [1,2,3]
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63 @test m*v isa AbstractVector
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64 @test m*v == [2,4,6]
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65
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66 m = ScalingTensor(2,(2,2))
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67 v = [[1 2];[3 4]]
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68 @test m*v == [[2 4];[6 8]]
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69 @test (m*v)[2,1] == 6
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70
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71 @testset "Error on index out of bounds" begin
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72 m = SizeDoublingMapping{Int, 1, 1}((3,))
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73 v = [0,1,2]
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74
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75 @test_throws BoundsError (m*v)[0]
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76 @test_throws BoundsError (m*v)[7]
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77 end
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78
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79 @testset "Error on unmatched dimensions" begin
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80 v = [0,1,2]
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81 m = SizeDoublingMapping{Int, 2, 1}((3,))
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82 @test_throws MethodError m*ones(Int,2,2)
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83 @test_throws MethodError m*m*v
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84 end
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85
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86 @testset "Error on unmatched sizes" begin
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87 @test_throws DomainSizeMismatch ScalingTensor(2,(2,))*ones(3)
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88 @test_throws DomainSizeMismatch ScalingTensor(2,(2,))*ScalingTensor(2,(3,))*ones(3)
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89 end
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91
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92 @testset "Type calculation" begin
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93 m = ScalingTensor(2,(3,))
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94 v = [1.,2.,3.]
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95 @test m*v isa AbstractVector{Float64}
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96 @test m*v == [2.,4.,6.]
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97 @inferred m*v
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98 @inferred (m*v)[1]
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99
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100 m = ScalingTensor(2,(2,2))
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101 v = [[1. 2.];[3. 4.]]
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102 @test m*v == [[2. 4.];[6. 8.]]
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103 @test (m*v)[2,1] == 6.
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104 @inferred m*v
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105 @inferred (m*v)[1]
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106
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107 m = ScalingTensor(2. +2. *im,(3,))
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108 v = [1.,2.,3.]
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109 @test m*v isa AbstractVector{ComplexF64}
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110 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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111 @inferred m*v
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112 @inferred (m*v)[1]
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113
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114 m = ScalingTensor(1,(3,))
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115 v = [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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116 @test m*v isa AbstractVector{ComplexF64}
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117 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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118 @inferred m*v
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119 @inferred (m*v)[1]
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120
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121 m = ScalingTensor(2., (3,))
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122 v = [[1,2,3], [3,2,1],[1,3,1]]
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123 @test m*v isa AbstractVector{Vector{Float64}}
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124 @test m*v == [[2.,4.,6.], [6.,4.,2.],[2.,6.,2.]]
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125 @inferred m*v
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126 @inferred (m*v)[1]
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127 end
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128 end
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129
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130 @testset "TensorNegation" begin
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131 A = rand(2,3)
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132 B = rand(3,4)
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133
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134 Ã = DenseTensor(A, (1,), (2,))
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135 B̃ = DenseTensor(B, (1,), (2,))
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136
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137 @test -Ã isa TensorNegation
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138
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139 v = rand(3)
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140 @test (-Ã)*v == -(Ã*v)
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141
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142 v = rand(4)
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143 @test (-B̃)*v == -(B̃*v)
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144
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145 v = rand(2)
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146 @test (-Ã)'*v == -(Ã'*v)
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147
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148 v = rand(3)
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149 @test (-B̃)'*v == -(B̃'*v)
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150
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151 @test domain_size(-Ã) == (3,)
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152 @test domain_size(-B̃) == (4,)
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153
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154 @test range_size(-Ã) == (2,)
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155 @test range_size(-B̃) == (3,)
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156 end
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157
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158 @testset "TensorSum" begin
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159 A = ScalingTensor(2.0, (3,))
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160 B = ScalingTensor(3.0, (3,))
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161
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162 v = [1.1,1.2,1.3]
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163 for i ∈ eachindex(v)
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164 @test ((A+B)*v)[i] == 2*v[i] + 3*v[i]
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165 end
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166
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167 for i ∈ eachindex(v)
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168 @test ((A-B)*v)[i] == 2*v[i] - 3*v[i]
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169 end
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170
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171 for i ∈ eachindex(v)
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172 @test ((A+B)'*v)[i] == 2*v[i] + 3*v[i]
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173 end
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174
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175
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176 @test range_size(A+B) == range_size(A) == range_size(B)
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177 @test domain_size(A+B) == domain_size(A) == domain_size(B)
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178
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179 @test ((A+B)*ComplexF64[1.1,1.2,1.3])[3] isa ComplexF64
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180
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181 @testset "Error on unmatched sizes" begin
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182 @test_throws Union{DomainSizeMismatch, RangeSizeMismatch} ScalingTensor(2.0, (3,)) + ScalingTensor(2.0, (4,))
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183
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184 @test_throws DomainSizeMismatch ScalingTensor(2.0, (4,)) + SizeDoublingMapping{Float64,1,1}((2,))
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185 @test_throws DomainSizeMismatch SizeDoublingMapping{Float64,1,1}((2,)) + ScalingTensor(2.0, (4,))
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186 @test_throws RangeSizeMismatch ScalingTensor(2.0, (2,)) + SizeDoublingMapping{Float64,1,1}((2,))
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187 @test_throws RangeSizeMismatch SizeDoublingMapping{Float64,1,1}((2,)) + ScalingTensor(2.0, (2,))
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188 end
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189
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190 @testset "Chained operators" begin
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191 A = ScalingTensor(1.0, (3,))
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192 B = ScalingTensor(2.0, (3,))
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193 C = ScalingTensor(3.0, (3,))
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194 D = ScalingTensor(4.0, (3,))
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195
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196 @test A+B+C+D isa TensorSum
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197 @test length((A+B+C+D).tms) == 4
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198
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199
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200 @test A+B-C+D isa TensorSum
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201 @test length((A+B-C+D).tms) == 4
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202
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203 v = rand(3)
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204 @test (A+B-C+D)*v == 1v + 2v - 3v + 4v
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205
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206
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207 @test -A-B-C-D isa TensorSum
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208 @test length((-A-B-C-D).tms) == 4
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209
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210 v = rand(3)
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211 @test (-A-B-C-D)*v == -1v - 2v - 3v - 4v
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212 end
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213 end
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214
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215
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216 @testset "TensorComposition" begin
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217 A = rand(2,3)
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218 B = rand(3,4)
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219
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220 Ã = DenseTensor(A, (1,), (2,))
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221 B̃ = DenseTensor(B, (1,), (2,))
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222
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223 @test Ã∘B̃ isa TensorComposition
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224 @test range_size(Ã∘B̃) == (2,)
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225 @test domain_size(Ã∘B̃) == (4,)
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226 @test_throws DomainSizeMismatch B̃∘Ã
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227
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228 # @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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229
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230 v = rand(4)
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231 @test Ã∘B̃*v ≈ A*B*v rtol=1e-14
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232
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233 v = rand(2)
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234 @test (Ã∘B̃)'*v ≈ B'*A'*v rtol=1e-14
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235
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236 @test (Ã∘B̃*ComplexF64[1.,2.,3.,4.])[1] isa ComplexF64
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237 @test ((Ã∘B̃)'*ComplexF64[1.,2.])[1] isa ComplexF64
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238
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239 a = 2.
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240 v = rand(3)
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241 @test a*Ã isa TensorComposition
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242 @test a*Ã == Ã*a
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243 @test range_size(a*Ã) == range_size(Ã)
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244 @test domain_size(a*Ã) == domain_size(Ã)
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245 @test a*Ã*v ≈ a.*A*v rtol=1e-14
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246 end
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247
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248
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249 @testset "InflatedTensor" begin
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250 I(sz...) = IdentityTensor(sz...)
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251
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252 Ã = rand(4,2)
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253 B̃ = rand(4,2,3)
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254 C̃ = rand(4,2,3)
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255
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256 A = DenseTensor(Ã,(1,),(2,))
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257 B = DenseTensor(B̃,(1,2),(3,))
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258 C = DenseTensor(C̃,(1,),(2,3))
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259
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260 @testset "Constructors" begin
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261 @test InflatedTensor(I(3,2), A, I(4)) isa LazyTensor{Float64, 4, 4}
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262 @test InflatedTensor(I(3,2), B, I(4)) isa LazyTensor{Float64, 5, 4}
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263 @test InflatedTensor(I(3), C, I(2,3)) isa LazyTensor{Float64, 4, 5}
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264 @test InflatedTensor(C, I(2,3)) isa LazyTensor{Float64, 3, 4}
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265 @test InflatedTensor(I(3), C) isa LazyTensor{Float64, 2, 3}
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266 @test InflatedTensor(I(3), I(2,3)) isa LazyTensor{Float64, 3, 3}
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267 end
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268
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269 @testset "Range and domain size" begin
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270 @test range_size(InflatedTensor(I(3,2), A, I(4))) == (3,2,4,4)
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271 @test domain_size(InflatedTensor(I(3,2), A, I(4))) == (3,2,2,4)
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272
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273 @test range_size(InflatedTensor(I(3,2), B, I(4))) == (3,2,4,2,4)
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274 @test domain_size(InflatedTensor(I(3,2), B, I(4))) == (3,2,3,4)
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275
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276 @test range_size(InflatedTensor(I(3), C, I(2,3))) == (3,4,2,3)
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277 @test domain_size(InflatedTensor(I(3), C, I(2,3))) == (3,2,3,2,3)
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278
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279 @inferred range_size(InflatedTensor(I(3,2), A, I(4))) == (3,2,4,4)
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280 @inferred domain_size(InflatedTensor(I(3,2), A, I(4))) == (3,2,2,4)
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281 end
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282
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283 @testset "Application" begin
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284 # Testing regular application and transposed application with inflation "before", "after" and "before and after".
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285 # The inflated tensor mappings are chosen to preserve, reduce and increase the dimension of the result compared to the input.
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286 cases = [
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287 (
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288 InflatedTensor(I(3,2), A, I(4)),
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289 (v-> @tullio res[a,b,c,d] := Ã[c,i]*v[a,b,i,d]), # Expected result of apply
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290 (v-> @tullio res[a,b,c,d] := Ã[i,c]*v[a,b,i,d]), # Expected result of apply_transpose
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291 ),
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292 (
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293 InflatedTensor(I(3,2), B, I(4)),
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294 (v-> @tullio res[a,b,c,d,e] := B̃[c,d,i]*v[a,b,i,e]),
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295 (v-> @tullio res[a,b,c,d] := B̃[i,j,c]*v[a,b,i,j,d]),
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296 ),
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297 (
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298 InflatedTensor(I(3,2), C, I(4)),
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299 (v-> @tullio res[a,b,c,d] := C̃[c,i,j]*v[a,b,i,j,d]),
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300 (v-> @tullio res[a,b,c,d,e] := C̃[i,c,d]*v[a,b,i,e]),
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301 ),
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302 (
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303 InflatedTensor(I(3,2), A),
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304 (v-> @tullio res[a,b,c] := Ã[c,i]*v[a,b,i]),
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305 (v-> @tullio res[a,b,c] := Ã[i,c]*v[a,b,i]),
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306 ),
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307 (
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308 InflatedTensor(I(3,2), B),
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309 (v-> @tullio res[a,b,c,d] := B̃[c,d,i]*v[a,b,i]),
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310 (v-> @tullio res[a,b,c] := B̃[i,j,c]*v[a,b,i,j]),
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311 ),
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312 (
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313 InflatedTensor(I(3,2), C),
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314 (v-> @tullio res[a,b,c] := C̃[c,i,j]*v[a,b,i,j]),
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315 (v-> @tullio res[a,b,c,d] := C̃[i,c,d]*v[a,b,i]),
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316 ),
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317 (
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318 InflatedTensor(A,I(4)),
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319 (v-> @tullio res[a,b] := Ã[a,i]*v[i,b]),
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320 (v-> @tullio res[a,b] := Ã[i,a]*v[i,b]),
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321 ),
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322 (
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323 InflatedTensor(B,I(4)),
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324 (v-> @tullio res[a,b,c] := B̃[a,b,i]*v[i,c]),
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325 (v-> @tullio res[a,b] := B̃[i,j,a]*v[i,j,b]),
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326 ),
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327 (
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328 InflatedTensor(C,I(4)),
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329 (v-> @tullio res[a,b] := C̃[a,i,j]*v[i,j,b]),
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330 (v-> @tullio res[a,b,c] := C̃[i,a,b]*v[i,c]),
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331 ),
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332 ]
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333
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334 @testset "$tm" for (tm, true_apply, true_apply_transpose) ∈ cases
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335 v = rand(domain_size(tm)...)
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336 @test tm*v ≈ true_apply(v) rtol=1e-14
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337
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338 v = rand(range_size(tm)...)
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339 @test tm'*v ≈ true_apply_transpose(v) rtol=1e-14
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340 end
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341
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342 @testset "application to other type" begin
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343 tm = InflatedTensor(I(3,2), A, I(4))
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344
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345 v = rand(ComplexF64, domain_size(tm)...)
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346 @test (tm*v)[1,2,3,1] isa ComplexF64
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347
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348 v = rand(ComplexF64, domain_size(tm')...)
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349 @test (tm'*v)[1,2,2,1] isa ComplexF64
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350 end
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351
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352 @testset "Inference of application" begin
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353 tm = InflatedTensor(I(2,3),ScalingTensor(2.0, (3,2)),I(3,4))
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354 v = rand(domain_size(tm)...)
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355
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356 @inferred apply(tm,v,1,2,3,2,2,4)
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357 @inferred (tm*v)[1,2,3,2,2,4]
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358 end
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359 end
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360
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361 @testset "InflatedTensor of InflatedTensor" begin
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362 A = ScalingTensor(2.0,(2,3))
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363 itm = InflatedTensor(I(3,2), A, I(4))
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364 @test InflatedTensor(I(4), itm, I(2)) == InflatedTensor(I(4,3,2), A, I(4,2))
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365 @test InflatedTensor(itm, I(2)) == InflatedTensor(I(3,2), A, I(4,2))
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366 @test InflatedTensor(I(4), itm) == InflatedTensor(I(4,3,2), A, I(4))
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367
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368 @test InflatedTensor(I(2), I(2), I(2)) isa InflatedTensor # The constructor should always return its type.
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369 end
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370 end
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371
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372 @testset "LazyOuterProduct" begin
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373 A = ScalingTensor(2.0, (5,))
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374 B = ScalingTensor(3.0, (3,))
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375 C = ScalingTensor(5.0, (3,2))
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376
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377 AB = LazyOuterProduct(A,B)
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378 @test AB isa LazyTensor{T,2,2} where T
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379 @test range_size(AB) == (5,3)
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380 @test domain_size(AB) == (5,3)
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381
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382 v = rand(range_size(AB)...)
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383 @test AB*v == 6*v
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384
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385 ABC = LazyOuterProduct(A,B,C)
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386
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387 @test ABC isa LazyTensor{T,4,4} where T
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388 @test range_size(ABC) == (5,3,3,2)
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389 @test domain_size(ABC) == (5,3,3,2)
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390
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391 @test A⊗B == AB
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392 @test A⊗B⊗C == ABC
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393
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394 A = rand(3,2)
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395 B = rand(2,4,3)
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396
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397 v₁ = rand(2,4,3)
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398 v₂ = rand(4,3,2)
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399
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400 Ã = DenseTensor(A,(1,),(2,))
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401 B̃ = DenseTensor(B,(1,),(2,3))
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402
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403 ÃB̃ = LazyOuterProduct(Ã,B̃)
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404 @tullio ABv[i,k] := A[i,j]*B[k,l,m]*v₁[j,l,m]
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405 @test ÃB̃*v₁ ≈ ABv
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406
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407 B̃Ã = LazyOuterProduct(B̃,Ã)
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408 @tullio BAv[k,i] := A[i,j]*B[k,l,m]*v₂[l,m,j]
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409 @test B̃Ã*v₂ ≈ BAv
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410
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411 @testset "Indentity mapping arguments" begin
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412 @test LazyOuterProduct(IdentityTensor(3,2), IdentityTensor(1,2)) == IdentityTensor(3,2,1,2)
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413
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414 Ã = DenseTensor(A,(1,),(2,))
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415 @test LazyOuterProduct(IdentityTensor(3,2), Ã) == InflatedTensor(IdentityTensor(3,2),Ã)
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416 @test LazyOuterProduct(Ã, IdentityTensor(3,2)) == InflatedTensor(Ã,IdentityTensor(3,2))
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417
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418 I1 = IdentityTensor(3,2)
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419 I2 = IdentityTensor(4)
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420 @test I1⊗Ã⊗I2 == InflatedTensor(I1, Ã, I2)
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421 end
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422 end
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423
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424 @testset "inflate" begin
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425 I = LazyTensors.inflate(IdentityTensor(),(3,4,5,6), 2)
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426 @test I isa LazyTensor{Float64, 3,3}
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427 @test range_size(I) == (3,5,6)
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428 @test domain_size(I) == (3,5,6)
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429
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430 @test LazyTensors.inflate(ScalingTensor(1., (4,)),(3,4,5,6), 1) == InflatedTensor(IdentityTensor{Float64}(),ScalingTensor(1., (4,)),IdentityTensor(4,5,6))
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431 @test LazyTensors.inflate(ScalingTensor(2., (1,)),(3,4,5,6), 2) == InflatedTensor(IdentityTensor(3),ScalingTensor(2., (1,)),IdentityTensor(5,6))
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432 @test LazyTensors.inflate(ScalingTensor(3., (6,)),(3,4,5,6), 4) == InflatedTensor(IdentityTensor(3,4,5),ScalingTensor(3., (6,)),IdentityTensor{Float64}())
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433
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434 @test_throws BoundsError LazyTensors.inflate(ScalingTensor(1., (4,)),(3,4,5,6), 0)
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435 @test_throws BoundsError LazyTensors.inflate(ScalingTensor(1., (4,)),(3,4,5,6), 5)
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436 end