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annotate test/LazyTensors/lazy_tensor_operations_test.jl @ 997:20c376dffe84 refactor/lazy_tensors

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Move tuple functions to their own file
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 18 Mar 2022 21:26:02 +0100
parents 1ba8a398af9c
children 271aa6ae1055
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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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15
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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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26
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27 @testset "TensorApplication" begin
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28 struct SizeDoublingMapping{T,R,D} <: LazyTensor{T,R,D}
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29 domain_size::NTuple{D,Int}
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30 end
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31
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32 LazyTensors.apply(m::SizeDoublingMapping{T,R}, v, i::Vararg{Any,R}) where {T,R} = (:apply,v,i)
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33 LazyTensors.range_size(m::SizeDoublingMapping) = 2 .* m.domain_size
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34 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 v = [0,1,2]
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39 @test size(m*v) == 2 .*size(v)
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40 @test (m*v)[0] == (:apply,v,(0,))
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41 @test (m*m*v)[1] == (:apply,m*v,(1,))
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42 @test (m*m*v)[3] == (:apply,m*v,(3,))
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43 @test (m*m*v)[6] == (:apply,m*v,(6,))
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44 @test_broken BoundsError == (m*m*v)[0]
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45 @test_broken BoundsError == (m*m*v)[7]
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46 @test_throws MethodError m*m
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47
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48 @test (m*v)[CartesianIndex(2)] == (:apply,v,(2,))
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49 @test (m*m*v)[CartesianIndex(2)] == (:apply,m*v,(2,))
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50
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51 m = SizeDoublingMapping{Int, 2, 1}((3,))
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52 @test_throws MethodError m*ones(Int,2,2)
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53 @test_throws MethodError m*m*v
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54
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55 m = SizeDoublingMapping{Float64, 2, 2}((3,3))
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56 v = ones(3,3)
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57 @test size(m*v) == 2 .*size(v)
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58 @test (m*v)[1,2] == (:apply,v,(1,2))
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59
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60 @test (m*v)[CartesianIndex(2,3)] == (:apply,v,(2,3))
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61 @test (m*m*v)[CartesianIndex(4,3)] == (:apply,m*v,(4,3))
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62
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63 m = ScalingTensor(2,(3,))
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64 v = [1,2,3]
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65 @test m*v isa AbstractVector
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66 @test m*v == [2,4,6]
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67
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68 m = ScalingTensor(2,(2,2))
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69 v = [[1 2];[3 4]]
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70 @test m*v == [[2 4];[6 8]]
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71 @test (m*v)[2,1] == 6
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72
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73 @testset "Type calculation" begin
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74 m = ScalingTensor(2,(3,))
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75 v = [1.,2.,3.]
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76 @test m*v isa AbstractVector{Float64}
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77 @test m*v == [2.,4.,6.]
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78 @inferred m*v
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79 @inferred (m*v)[1]
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80
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81 m = ScalingTensor(2,(2,2))
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82 v = [[1. 2.];[3. 4.]]
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83 @test m*v == [[2. 4.];[6. 8.]]
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84 @test (m*v)[2,1] == 6.
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85 @inferred m*v
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86 @inferred (m*v)[1]
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87
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88 m = ScalingTensor(2. +2. *im,(3,))
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89 v = [1.,2.,3.]
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90 @test m*v isa AbstractVector{ComplexF64}
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91 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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92 @inferred m*v
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93 @inferred (m*v)[1]
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94
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95 m = ScalingTensor(1,(3,))
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96 v = [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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97 @test m*v isa AbstractVector{ComplexF64}
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98 @test m*v == [2. + 2. *im, 4. + 4. *im, 6. + 6. *im]
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99 @inferred m*v
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100 @inferred (m*v)[1]
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101
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102 m = ScalingTensor(2., (3,))
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103 v = [[1,2,3], [3,2,1],[1,3,1]]
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104 @test m*v isa AbstractVector{Vector{Float64}}
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105 @test m*v == [[2.,4.,6.], [6.,4.,2.],[2.,6.,2.]]
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106 @inferred m*v
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107 @inferred (m*v)[1]
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108 end
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109 end
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110
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111 @testset "LazyTensor binary operations" begin
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112 A = ScalingTensor(2.0, (3,))
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113 B = ScalingTensor(3.0, (3,))
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114
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115 v = [1.1,1.2,1.3]
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116 for i ∈ eachindex(v)
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117 @test ((A+B)*v)[i] == 2*v[i] + 3*v[i]
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118 end
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119
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120 for i ∈ eachindex(v)
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121 @test ((A-B)*v)[i] == 2*v[i] - 3*v[i]
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122 end
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123
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124 # TODO: Test with size changing tm
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125 # TODO: Test for mismatch in dimensions (SizeMismatch?)
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126
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127 @test range_size(A+B) == range_size(A) == range_size(B)
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128 @test domain_size(A+B) == domain_size(A) == domain_size(B)
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129
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130 @test ((A+B)*ComplexF64[1.1,1.2,1.3])[3] isa ComplexF64
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131 end
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133
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134 @testset "LazyTensorComposition" begin
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135 A = rand(2,3)
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136 B = rand(3,4)
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137
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138 Ã = LazyLinearMap(A, (1,), (2,))
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139 B̃ = LazyLinearMap(B, (1,), (2,))
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140
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141 @test Ã∘B̃ isa LazyTensorComposition
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142 @test range_size(Ã∘B̃) == (2,)
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143 @test domain_size(Ã∘B̃) == (4,)
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144 @test_throws SizeMismatch B̃∘Ã
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145
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146 # @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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147
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148 v = rand(4)
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149 @test Ã∘B̃*v ≈ A*B*v rtol=1e-14
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150
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151 v = rand(2)
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152 @test (Ã∘B̃)'*v ≈ B'*A'*v rtol=1e-14
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153
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154 @test (Ã∘B̃*ComplexF64[1.,2.,3.,4.])[1] isa ComplexF64
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155 @test ((Ã∘B̃)'*ComplexF64[1.,2.])[1] isa ComplexF64
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156 end
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157
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158 @testset "LazyLinearMap" begin
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159 # Test a standard matrix-vector product
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160 # mapping vectors of size 4 to vectors of size 3.
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161 A = rand(3,4)
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162 Ã = LazyLinearMap(A, (1,), (2,))
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163 v = rand(4)
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164 w = rand(3)
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165
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166 @test à isa LazyLinearMap{T,1,1} where T
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167 @test à isa LazyTensor{T,1,1} where T
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168 @test range_size(Ã) == (3,)
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169 @test domain_size(Ã) == (4,)
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170
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171 @test Ã*ones(4) ≈ A*ones(4) atol=5e-13
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172 @test Ã*v ≈ A*v atol=5e-13
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173 @test Ã'*w ≈ A'*w
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174
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175 A = rand(2,3,4)
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176 @test_throws DomainError LazyLinearMap(A, (3,1), (2,))
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177
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178 # Test more exotic mappings
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179 B = rand(3,4,2)
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180 # Map vectors of size 2 to matrices of size (3,4)
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181 B̃ = LazyLinearMap(B, (1,2), (3,))
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182 v = rand(2)
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183
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184 @test range_size(B̃) == (3,4)
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185 @test domain_size(B̃) == (2,)
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186 @test B̃ isa LazyTensor{T,2,1} where T
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187 @test B̃*ones(2) ≈ B[:,:,1] + B[:,:,2] atol=5e-13
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188 @test B̃*v ≈ B[:,:,1]*v[1] + B[:,:,2]*v[2] atol=5e-13
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189
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190 # Map matrices of size (3,2) to vectors of size 4
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191 B̃ = LazyLinearMap(B, (2,), (1,3))
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192 v = rand(3,2)
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193
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194 @test range_size(B̃) == (4,)
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195 @test domain_size(B̃) == (3,2)
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196 @test B̃ isa LazyTensor{T,1,2} where T
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197 @test B̃*ones(3,2) ≈ B[1,:,1] + B[2,:,1] + B[3,:,1] +
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198 B[1,:,2] + B[2,:,2] + B[3,:,2] atol=5e-13
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199 @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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200 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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201
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202
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203 # TODO:
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204 # @inferred (B̃*v)[2]
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205 end
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206
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207
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208 @testset "IdentityTensor" begin
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209 @test IdentityTensor{Float64}((4,5)) isa IdentityTensor{T,2} where T
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210 @test IdentityTensor{Float64}((4,5)) isa LazyTensor{T,2,2} where T
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211 @test IdentityTensor{Float64}((4,5)) == IdentityTensor{Float64}(4,5)
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212
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213 @test IdentityTensor(3,2) isa IdentityTensor{Float64,2}
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214
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215 for sz ∈ [(4,5),(3,),(5,6,4)]
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216 I = IdentityTensor{Float64}(sz)
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217 v = rand(sz...)
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218 @test I*v == v
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219 @test I'*v == v
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220
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221 v = rand(ComplexF64,sz...)
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222 @test I*v == v
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223 @test I'*v == v
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224
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225 @test range_size(I) == sz
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226 @test domain_size(I) == sz
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227 end
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228
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229 I = IdentityTensor{Float64}((4,5))
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230 v = rand(4,5)
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231 @inferred (I*v)[3,2]
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232 @inferred (I'*v)[3,2]
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233 @inferred range_size(I)
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234
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235 @inferred range_dim(I)
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236 @inferred domain_dim(I)
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237
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238 Ã = rand(4,2)
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239 A = LazyLinearMap(Ã,(1,),(2,))
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240 I1 = IdentityTensor{Float64}(2)
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241 I2 = IdentityTensor{Float64}(4)
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242 @test A∘I1 == A
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243 @test I2∘A == A
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244 @test I1∘I1 == I1
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245 @test_throws SizeMismatch I1∘A
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246 @test_throws SizeMismatch A∘I2
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247 @test_throws SizeMismatch I1∘I2
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248 end
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249
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250 @testset "ScalingTensor" begin
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251 st = ScalingTensor(2.,(3,4))
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252 @test st isa LazyTensor{Float64, 2, 2}
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253 @test range_size(st) == (3,4)
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254 @test domain_size(st) == (3,4)
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255
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256 v = rand(3,4)
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257 @test st*v == 2.0 .* v
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258 @test st'*v == 2.0 .* v
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259
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260 @inferred (st*v)[2,2]
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261 @inferred (st'*v)[2,2]
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262 end
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263
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264 @testset "InflatedLazyTensor" begin
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265 I(sz...) = IdentityTensor(sz...)
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266
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267 Ã = rand(4,2)
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268 B̃ = rand(4,2,3)
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269 C̃ = rand(4,2,3)
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270
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271 A = LazyLinearMap(Ã,(1,),(2,))
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272 B = LazyLinearMap(B̃,(1,2),(3,))
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273 C = LazyLinearMap(C̃,(1,),(2,3))
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274
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275 @testset "Constructors" begin
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276 @test InflatedLazyTensor(I(3,2), A, I(4)) isa LazyTensor{Float64, 4, 4}
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277 @test InflatedLazyTensor(I(3,2), B, I(4)) isa LazyTensor{Float64, 5, 4}
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278 @test InflatedLazyTensor(I(3), C, I(2,3)) isa LazyTensor{Float64, 4, 5}
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279 @test InflatedLazyTensor(C, I(2,3)) isa LazyTensor{Float64, 3, 4}
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280 @test InflatedLazyTensor(I(3), C) isa LazyTensor{Float64, 2, 3}
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281 @test InflatedLazyTensor(I(3), I(2,3)) isa LazyTensor{Float64, 3, 3}
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282 end
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283
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284 @testset "Range and domain size" begin
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285 @test range_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,4,4)
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286 @test domain_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,2,4)
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287
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288 @test range_size(InflatedLazyTensor(I(3,2), B, I(4))) == (3,2,4,2,4)
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289 @test domain_size(InflatedLazyTensor(I(3,2), B, I(4))) == (3,2,3,4)
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290
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291 @test range_size(InflatedLazyTensor(I(3), C, I(2,3))) == (3,4,2,3)
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292 @test domain_size(InflatedLazyTensor(I(3), C, I(2,3))) == (3,2,3,2,3)
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293
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294 @inferred range_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,4,4)
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295 @inferred domain_size(InflatedLazyTensor(I(3,2), A, I(4))) == (3,2,2,4)
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296 end
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297
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298 @testset "Application" begin
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299 # Testing regular application and transposed application with inflation "before", "after" and "before and after".
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300 # The inflated tensor mappings are chosen to preserve, reduce and increase the dimension of the result compared to the input.
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301 tests = [
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302 (
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303 InflatedLazyTensor(I(3,2), A, I(4)),
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304 (v-> @tullio res[a,b,c,d] := Ã[c,i]*v[a,b,i,d]), # Expected result of apply
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305 (v-> @tullio res[a,b,c,d] := Ã[i,c]*v[a,b,i,d]), # Expected result of apply_transpose
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306 ),
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307 (
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308 InflatedLazyTensor(I(3,2), B, I(4)),
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309 (v-> @tullio res[a,b,c,d,e] := B̃[c,d,i]*v[a,b,i,e]),
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310 (v-> @tullio res[a,b,c,d] := B̃[i,j,c]*v[a,b,i,j,d]),
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311 ),
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312 (
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313 InflatedLazyTensor(I(3,2), C, I(4)),
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314 (v-> @tullio res[a,b,c,d] := C̃[c,i,j]*v[a,b,i,j,d]),
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315 (v-> @tullio res[a,b,c,d,e] := C̃[i,c,d]*v[a,b,i,e]),
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316 ),
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317 (
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318 InflatedLazyTensor(I(3,2), A),
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319 (v-> @tullio res[a,b,c] := Ã[c,i]*v[a,b,i]),
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320 (v-> @tullio res[a,b,c] := Ã[i,c]*v[a,b,i]),
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321 ),
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322 (
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323 InflatedLazyTensor(I(3,2), B),
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324 (v-> @tullio res[a,b,c,d] := B̃[c,d,i]*v[a,b,i]),
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325 (v-> @tullio res[a,b,c] := B̃[i,j,c]*v[a,b,i,j]),
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326 ),
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327 (
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328 InflatedLazyTensor(I(3,2), C),
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329 (v-> @tullio res[a,b,c] := C̃[c,i,j]*v[a,b,i,j]),
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330 (v-> @tullio res[a,b,c,d] := C̃[i,c,d]*v[a,b,i]),
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331 ),
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332 (
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333 InflatedLazyTensor(A,I(4)),
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334 (v-> @tullio res[a,b] := Ã[a,i]*v[i,b]),
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335 (v-> @tullio res[a,b] := Ã[i,a]*v[i,b]),
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336 ),
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337 (
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338 InflatedLazyTensor(B,I(4)),
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339 (v-> @tullio res[a,b,c] := B̃[a,b,i]*v[i,c]),
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340 (v-> @tullio res[a,b] := B̃[i,j,a]*v[i,j,b]),
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341 ),
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342 (
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343 InflatedLazyTensor(C,I(4)),
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344 (v-> @tullio res[a,b] := C̃[a,i,j]*v[i,j,b]),
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345 (v-> @tullio res[a,b,c] := C̃[i,a,b]*v[i,c]),
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346 ),
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347 ]
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348
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349 @testset "apply" begin
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350 for i ∈ 1:length(tests)
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351 tm = tests[i][1]
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352 v = rand(domain_size(tm)...)
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353 true_value = tests[i][2](v)
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354 @test tm*v ≈ true_value rtol=1e-14
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355 end
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356 end
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357
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358 @testset "apply_transpose" begin
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359 for i ∈ 1:length(tests)
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360 tm = tests[i][1]
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361 v = rand(range_size(tm)...)
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362 true_value = tests[i][3](v)
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363 @test tm'*v ≈ true_value rtol=1e-14
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364 end
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365 end
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366
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367 @testset "application to other type" begin
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368 tm = InflatedLazyTensor(I(3,2), A, I(4))
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369
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370 v = rand(ComplexF64, domain_size(tm)...)
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371 @test (tm*v)[1,2,3,1] isa ComplexF64
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372
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373 v = rand(ComplexF64, domain_size(tm')...)
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374 @test (tm'*v)[1,2,2,1] isa ComplexF64
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375 end
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376
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377 @testset "Inference of application" begin
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378 tm = InflatedLazyTensor(I(2,3),ScalingTensor(2.0, (3,2)),I(3,4))
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379 v = rand(domain_size(tm)...)
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380
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381 @inferred apply(tm,v,1,2,3,2,2,4)
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382 @inferred (tm*v)[1,2,3,2,2,4]
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383 end
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384 end
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385
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386 @testset "InflatedLazyTensor of InflatedLazyTensor" begin
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387 A = ScalingTensor(2.0,(2,3))
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388 itm = InflatedLazyTensor(I(3,2), A, I(4))
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389 @test InflatedLazyTensor(I(4), itm, I(2)) == InflatedLazyTensor(I(4,3,2), A, I(4,2))
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390 @test InflatedLazyTensor(itm, I(2)) == InflatedLazyTensor(I(3,2), A, I(4,2))
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391 @test InflatedLazyTensor(I(4), itm) == InflatedLazyTensor(I(4,3,2), A, I(4))
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392
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393 @test InflatedLazyTensor(I(2), I(2), I(2)) isa InflatedLazyTensor # The constructor should always return its type.
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394 end
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395 end
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396
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397 @testset "LazyOuterProduct" begin
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398
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399 A = ScalingTensor(2.0, (5,))
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400 B = ScalingTensor(3.0, (3,))
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401 C = ScalingTensor(5.0, (3,2))
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402
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403 AB = LazyOuterProduct(A,B)
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404 @test AB isa LazyTensor{T,2,2} where T
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405 @test range_size(AB) == (5,3)
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406 @test domain_size(AB) == (5,3)
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407
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408 v = rand(range_size(AB)...)
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409 @test AB*v == 6*v
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410
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411 ABC = LazyOuterProduct(A,B,C)
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412
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413 @test ABC isa LazyTensor{T,4,4} where T
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414 @test range_size(ABC) == (5,3,3,2)
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415 @test domain_size(ABC) == (5,3,3,2)
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416
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417 @test A⊗B == AB
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418 @test A⊗B⊗C == ABC
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419
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420 A = rand(3,2)
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421 B = rand(2,4,3)
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422
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423 v₁ = rand(2,4,3)
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424 v₂ = rand(4,3,2)
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425
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426 Ã = LazyLinearMap(A,(1,),(2,))
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427 B̃ = LazyLinearMap(B,(1,),(2,3))
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428
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429 ÃB̃ = LazyOuterProduct(Ã,B̃)
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430 @tullio ABv[i,k] := A[i,j]*B[k,l,m]*v₁[j,l,m]
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431 @test ÃB̃*v₁ ≈ ABv
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432
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433 B̃Ã = LazyOuterProduct(B̃,Ã)
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434 @tullio BAv[k,i] := A[i,j]*B[k,l,m]*v₂[l,m,j]
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435 @test B̃Ã*v₂ ≈ BAv
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436
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437 @testset "Indentity mapping arguments" begin
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438 @test LazyOuterProduct(IdentityTensor(3,2), IdentityTensor(1,2)) == IdentityTensor(3,2,1,2)
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439
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440 Ã = LazyLinearMap(A,(1,),(2,))
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441 @test LazyOuterProduct(IdentityTensor(3,2), Ã) == InflatedLazyTensor(IdentityTensor(3,2),Ã)
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442 @test LazyOuterProduct(Ã, IdentityTensor(3,2)) == InflatedLazyTensor(Ã,IdentityTensor(3,2))
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443
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444 I1 = IdentityTensor(3,2)
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445 I2 = IdentityTensor(4)
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446 @test I1⊗Ã⊗I2 == InflatedLazyTensor(I1, Ã, I2)
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447 end
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448
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449 end