Mercurial > repos > public > sbplib_julia
annotate test/testLazyTensors.jl @ 541:62d96e2cd165 refactor/tensor_index_coupling
Make the coupling between all the LazyTensors code and the Index type much weaker to make the module more flexible
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Thu, 26 Nov 2020 21:35:34 +0100 |
parents | fc0f942b8792 |
children | 53828d3ed132 |
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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::Vararg{Any,R}) 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)),0,0) == :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{Any,R}) where {T,R,D} = :apply |
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23 LazyTensors.apply_transpose(m::DummyMapping{T,R,D}, v, I::Vararg{Any,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 @test m' isa TensorMapping{Float64, 3,2} |
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30 @test m'' == m |
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31 @test apply(m',zeros(Float64,(0,0)), 0, 0, 0) == :apply_transpose |
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32 @test apply(m'',zeros(Float64,(0,0,0)), 0, 0) == :apply |
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33 @test apply_transpose(m', zeros(Float64,(0,0,0)), 0, 0) == :apply |
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34 |
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35 @test range_size(m') == :domain_size |
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36 @test domain_size(m') == :range_size |
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37 end |
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38 |
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39 @testset "TensorApplication" begin |
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40 struct SizeDoublingMapping{T,R,D} <: TensorMapping{T,R,D} |
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41 domain_size::NTuple{D,Int} |
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42 end |
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43 |
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44 LazyTensors.apply(m::SizeDoublingMapping{T,R,D}, v, i::Vararg{Any,R}) where {T,R,D} = (:apply,v,i) |
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45 LazyTensors.range_size(m::SizeDoublingMapping) = 2 .* m.domain_size |
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46 LazyTensors.domain_size(m::SizeDoublingMapping) = m.domain_size |
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47 |
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48 |
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49 m = SizeDoublingMapping{Int, 1, 1}((3,)) |
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50 v = [0,1,2] |
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51 @test m*v isa AbstractVector{Int} |
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52 @test size(m*v) == 2 .*size(v) |
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53 @test (m*v)[0] == (:apply,v,(0,)) |
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54 @test m*m*v isa AbstractVector{Int} |
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55 @test (m*m*v)[1] == (:apply,m*v,(1,)) |
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56 @test (m*m*v)[3] == (:apply,m*v,(3,)) |
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57 @test (m*m*v)[6] == (:apply,m*v,(6,)) |
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58 @test_broken BoundsError == (m*m*v)[0] |
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59 @test_broken BoundsError == (m*m*v)[7] |
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60 @test_throws MethodError m*m |
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61 |
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62 m = SizeDoublingMapping{Int, 2, 1}((3,)) |
276 | 63 @test_throws MethodError m*ones(Int,2,2) |
64 @test_throws MethodError m*m*v | |
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65 |
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66 m = SizeDoublingMapping{Float64, 2, 2}((3,3)) |
276 | 67 v = ones(3,3) |
68 @test size(m*v) == 2 .*size(v) | |
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69 @test (m*v)[1,2] == (:apply,v,(1,2)) |
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70 |
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71 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
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72 λ::T |
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73 size::NTuple{D,Int} |
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74 end |
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75 |
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76 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Any,D}) where {T,D} = m.λ*v[I...] |
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77 LazyTensors.range_size(m::ScalingOperator) = m.size |
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78 LazyTensors.domain_size(m::ScalingOperator) = m.size |
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79 |
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80 m = ScalingOperator{Int,1}(2,(3,)) |
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81 v = [1,2,3] |
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82 @test m*v isa AbstractVector |
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83 @test m*v == [2,4,6] |
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84 |
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85 m = ScalingOperator{Int,2}(2,(2,2)) |
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86 v = [[1 2];[3 4]] |
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87 @test m*v == [[2 4];[6 8]] |
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88 @test (m*v)[2,1] == 6 |
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89 end |
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90 |
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91 @testset "TensorMapping binary operations" begin |
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92 struct ScalarMapping{T,R,D} <: TensorMapping{T,R,D} |
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93 λ::T |
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94 range_size::NTuple{R,Int} |
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95 domain_size::NTuple{D,Int} |
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96 end |
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97 |
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98 LazyTensors.apply(m::ScalarMapping{T,R,D}, v, I::Vararg{Any,R}) where {T,R,D} = m.λ*v[I...] |
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99 LazyTensors.range_size(m::ScalarMapping) = m.domain_size |
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100 LazyTensors.domain_size(m::ScalarMapping) = m.range_size |
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101 |
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102 A = ScalarMapping{Float64,1,1}(2.0, (3,), (3,)) |
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103 B = ScalarMapping{Float64,1,1}(3.0, (3,), (3,)) |
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104 |
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105 v = [1.1,1.2,1.3] |
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106 for i ∈ eachindex(v) |
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107 @test ((A+B)*v)[i] == 2*v[i] + 3*v[i] |
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108 end |
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109 |
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110 for i ∈ eachindex(v) |
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111 @test ((A-B)*v)[i] == 2*v[i] - 3*v[i] |
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112 end |
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113 |
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114 @test range_size(A+B) == range_size(A) == range_size(B) |
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115 @test domain_size(A+B) == domain_size(A) == domain_size(B) |
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116 end |
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117 |
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118 @testset "LazyArray" begin |
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119 @testset "LazyConstantArray" begin |
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120 @test LazyTensors.LazyConstantArray(3,(3,2)) isa LazyArray{Int,2} |
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121 |
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122 lca = LazyTensors.LazyConstantArray(3.0,(3,2)) |
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123 @test eltype(lca) == Float64 |
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124 @test ndims(lca) == 2 |
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125 @test size(lca) == (3,2) |
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126 @test lca[2] == 3.0 |
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127 end |
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128 struct DummyArray{T,D, T1<:AbstractArray{T,D}} <: LazyArray{T,D} |
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129 data::T1 |
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130 end |
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131 Base.size(v::DummyArray) = size(v.data) |
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132 Base.getindex(v::DummyArray{T,D}, I::Vararg{Int,D}) where {T,D} = v.data[I...] |
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133 |
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134 # Test lazy operations |
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135 v1 = [1, 2.3, 4] |
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136 v2 = [1., 2, 3] |
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137 s = 3.4 |
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138 r_add_v = v1 .+ v2 |
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139 r_sub_v = v1 .- v2 |
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140 r_times_v = v1 .* v2 |
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141 r_div_v = v1 ./ v2 |
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142 r_add_s = v1 .+ s |
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143 r_sub_s = v1 .- s |
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144 r_times_s = v1 .* s |
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145 r_div_s = v1 ./ s |
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146 @test isa(v1 +̃ v2, LazyArray) |
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147 @test isa(v1 -̃ v2, LazyArray) |
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148 @test isa(v1 *̃ v2, LazyArray) |
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149 @test isa(v1 /̃ v2, LazyArray) |
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150 @test isa(v1 +̃ s, LazyArray) |
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151 @test isa(v1 -̃ s, LazyArray) |
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152 @test isa(v1 *̃ s, LazyArray) |
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153 @test isa(v1 /̃ s, LazyArray) |
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154 @test isa(s +̃ v1, LazyArray) |
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155 @test isa(s -̃ v1, LazyArray) |
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156 @test isa(s *̃ v1, LazyArray) |
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157 @test isa(s /̃ v1, LazyArray) |
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158 for i ∈ eachindex(v1) |
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159 @test (v1 +̃ v2)[i] == r_add_v[i] |
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160 @test (v1 -̃ v2)[i] == r_sub_v[i] |
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161 @test (v1 *̃ v2)[i] == r_times_v[i] |
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162 @test (v1 /̃ v2)[i] == r_div_v[i] |
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163 @test (v1 +̃ s)[i] == r_add_s[i] |
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164 @test (v1 -̃ s)[i] == r_sub_s[i] |
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165 @test (v1 *̃ s)[i] == r_times_s[i] |
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166 @test (v1 /̃ s)[i] == r_div_s[i] |
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167 @test (s +̃ v1)[i] == r_add_s[i] |
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168 @test (s -̃ v1)[i] == -r_sub_s[i] |
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169 @test (s *̃ v1)[i] == r_times_s[i] |
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170 @test (s /̃ v1)[i] == 1/r_div_s[i] |
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171 end |
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172 @test_throws BoundsError (v1 +̃ v2)[4] |
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173 v2 = [1., 2, 3, 4] |
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174 # Test that size of arrays is asserted when not specified inbounds |
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175 # TODO: Replace these errors with SizeMismatch |
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176 @test_throws DimensionMismatch v1 +̃ v2 |
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177 |
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178 # Test operations on LazyArray |
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179 v1 = DummyArray([1, 2.3, 4]) |
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180 v2 = [1., 2, 3] |
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181 @test isa(v1 + v2, LazyArray) |
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182 @test isa(v2 + v1, LazyArray) |
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183 @test isa(v1 - v2, LazyArray) |
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184 @test isa(v2 - v1, LazyArray) |
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185 for i ∈ eachindex(v2) |
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186 @test (v1 + v2)[i] == (v2 + v1)[i] == r_add_v[i] |
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187 @test (v1 - v2)[i] == -(v2 - v1)[i] == r_sub_v[i] |
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188 end |
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189 @test_throws BoundsError (v1 + v2)[4] |
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190 v2 = [1., 2, 3, 4] |
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191 # Test that size of arrays is asserted when not specified inbounds |
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192 # TODO: Replace these errors with SizeMismatch |
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193 @test_throws DimensionMismatch v1 + v2 |
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194 end |
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195 |
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196 |
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197 @testset "LazyFunctionArray" begin |
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198 @test LazyFunctionArray(i->i^2, (3,)) == [1,4,9] |
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199 @test LazyFunctionArray((i,j)->i*j, (3,2)) == [ |
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200 1 2; |
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201 2 4; |
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202 3 6; |
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203 ] |
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204 |
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205 @test size(LazyFunctionArray(i->i^2, (3,))) == (3,) |
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206 @test size(LazyFunctionArray((i,j)->i*j, (3,2))) == (3,2) |
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207 |
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208 @inferred LazyFunctionArray(i->i^2, (3,))[2] |
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209 |
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210 @test_throws BoundsError LazyFunctionArray(i->i^2, (3,))[4] |
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211 @test_throws BoundsError LazyFunctionArray((i,j)->i*j, (3,2))[4,2] |
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212 @test_throws BoundsError LazyFunctionArray((i,j)->i*j, (3,2))[2,3] |
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213 |
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214 end |
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215 |
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216 @testset "TensorMappingComposition" 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 = LazyLinearMap(A, (1,), (2,)) |
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221 B̃ = LazyLinearMap(B, (1,), (2,)) |
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222 |
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223 @test Ã∘B̃ isa TensorMappingComposition |
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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 SizeMismatch 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 end |
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236 |
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237 @testset "LazyLinearMap" begin |
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238 # Test a standard matrix-vector product |
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239 # mapping vectors of size 4 to vectors of size 3. |
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240 A = rand(3,4) |
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241 Ã = LazyLinearMap(A, (1,), (2,)) |
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242 v = rand(4) |
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243 w = rand(3) |
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244 |
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245 @test à isa LazyLinearMap{T,1,1} where T |
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246 @test à isa TensorMapping{T,1,1} where T |
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247 @test range_size(Ã) == (3,) |
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248 @test domain_size(Ã) == (4,) |
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249 |
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250 @test Ã*ones(4) ≈ A*ones(4) atol=5e-13 |
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251 @test Ã*v ≈ A*v atol=5e-13 |
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252 @test Ã'*w ≈ A'*w |
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253 |
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254 A = rand(2,3,4) |
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255 @test_throws DomainError LazyLinearMap(A, (3,1), (2,)) |
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256 |
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257 # Test more exotic mappings |
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258 B = rand(3,4,2) |
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259 # Map vectors of size 2 to matrices of size (3,4) |
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260 B̃ = LazyLinearMap(B, (1,2), (3,)) |
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261 v = rand(2) |
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262 |
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263 @test range_size(B̃) == (3,4) |
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264 @test domain_size(B̃) == (2,) |
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265 @test B̃ isa TensorMapping{T,2,1} where T |
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266 @test B̃*ones(2) ≈ B[:,:,1] + B[:,:,2] atol=5e-13 |
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267 @test B̃*v ≈ B[:,:,1]*v[1] + B[:,:,2]*v[2] atol=5e-13 |
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268 |
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269 # Map matrices of size (3,2) to vectors of size 4 |
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270 B̃ = LazyLinearMap(B, (2,), (1,3)) |
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271 v = rand(3,2) |
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272 |
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273 @test range_size(B̃) == (4,) |
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274 @test domain_size(B̃) == (3,2) |
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275 @test B̃ isa TensorMapping{T,1,2} where T |
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276 @test B̃*ones(3,2) ≈ B[1,:,1] + B[2,:,1] + B[3,:,1] + |
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277 B[1,:,2] + B[2,:,2] + B[3,:,2] atol=5e-13 |
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278 @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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279 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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280 |
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281 |
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282 # TODO: |
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283 # @inferred (B̃*v)[2] |
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284 end |
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285 |
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286 |
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287 @testset "IdentityMapping" begin |
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288 @test IdentityMapping{Float64}((4,5)) isa IdentityMapping{T,2} where T |
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289 @test IdentityMapping{Float64}((4,5)) isa TensorMapping{T,2,2} where T |
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290 @test IdentityMapping{Float64}((4,5)) == IdentityMapping{Float64}(4,5) |
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291 |
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292 @test IdentityMapping(3,2) isa IdentityMapping{Float64,2} |
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293 |
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294 for sz ∈ [(4,5),(3,),(5,6,4)] |
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295 I = IdentityMapping{Float64}(sz) |
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296 v = rand(sz...) |
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297 @test I*v == v |
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298 @test I'*v == v |
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299 |
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300 @test range_size(I) == sz |
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301 @test domain_size(I) == sz |
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302 end |
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303 |
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304 I = IdentityMapping{Float64}((4,5)) |
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305 v = rand(4,5) |
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306 @inferred (I*v)[3,2] |
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307 @inferred (I'*v)[3,2] |
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308 @inferred range_size(I) |
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309 |
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310 @inferred range_dim(I) |
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311 @inferred domain_dim(I) |
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312 |
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313 Ã = rand(4,2) |
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314 A = LazyLinearMap(Ã,(1,),(2,)) |
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315 I1 = IdentityMapping{Float64}(2) |
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316 I2 = IdentityMapping{Float64}(4) |
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317 @test A∘I1 == A |
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318 @test I2∘A == A |
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319 @test I1∘I1 == I1 |
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320 @test_throws SizeMismatch I1∘A |
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321 @test_throws SizeMismatch A∘I2 |
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322 @test_throws SizeMismatch I1∘I2 |
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323 end |
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324 |
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325 @testset "InflatedTensorMapping" begin |
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326 I(sz...) = IdentityMapping(sz...) |
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327 |
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328 Ã = rand(4,2) |
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329 B̃ = rand(4,2,3) |
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330 C̃ = rand(4,2,3) |
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331 |
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332 A = LazyLinearMap(Ã,(1,),(2,)) |
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333 B = LazyLinearMap(B̃,(1,2),(3,)) |
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334 C = LazyLinearMap(C̃,(1,),(2,3)) |
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335 |
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336 @testset "Constructors" begin |
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337 @test InflatedTensorMapping(I(3,2), A, I(4)) isa TensorMapping{Float64, 4, 4} |
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338 @test InflatedTensorMapping(I(3,2), B, I(4)) isa TensorMapping{Float64, 5, 4} |
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339 @test InflatedTensorMapping(I(3), C, I(2,3)) isa TensorMapping{Float64, 4, 5} |
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340 @test InflatedTensorMapping(C, I(2,3)) isa TensorMapping{Float64, 3, 4} |
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341 @test InflatedTensorMapping(I(3), C) isa TensorMapping{Float64, 2, 3} |
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342 @test InflatedTensorMapping(I(3), I(2,3)) isa TensorMapping{Float64, 3, 3} |
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343 end |
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344 |
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345 @testset "Range and domain size" begin |
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346 @test range_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,4,4) |
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347 @test domain_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,2,4) |
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348 |
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349 @test range_size(InflatedTensorMapping(I(3,2), B, I(4))) == (3,2,4,2,4) |
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350 @test domain_size(InflatedTensorMapping(I(3,2), B, I(4))) == (3,2,3,4) |
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351 |
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352 @test range_size(InflatedTensorMapping(I(3), C, I(2,3))) == (3,4,2,3) |
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353 @test domain_size(InflatedTensorMapping(I(3), C, I(2,3))) == (3,2,3,2,3) |
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354 |
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355 @inferred range_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,4,4) |
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356 @inferred domain_size(InflatedTensorMapping(I(3,2), A, I(4))) == (3,2,2,4) |
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357 end |
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358 |
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359 @testset "Application" begin |
529 | 360 # Testing regular application and transposed application with inflation "before", "after" and "before and after". |
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361 # The inflated tensor mappings are chosen to preserve, reduce and increase the dimension of the result compared to the input. |
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362 tests = [ |
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363 ( |
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364 InflatedTensorMapping(I(3,2), A, I(4)), |
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365 (v-> @tullio res[a,b,c,d] := Ã[c,i]*v[a,b,i,d]), # Expected result of apply |
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366 (v-> @tullio res[a,b,c,d] := Ã[i,c]*v[a,b,i,d]), # Expected result of apply_transpose |
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367 ), |
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368 ( |
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369 InflatedTensorMapping(I(3,2), B, I(4)), |
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370 (v-> @tullio res[a,b,c,d,e] := B̃[c,d,i]*v[a,b,i,e]), |
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371 (v-> @tullio res[a,b,c,d] := B̃[i,j,c]*v[a,b,i,j,d]), |
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372 ), |
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373 ( |
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374 InflatedTensorMapping(I(3,2), C, I(4)), |
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375 (v-> @tullio res[a,b,c,d] := C̃[c,i,j]*v[a,b,i,j,d]), |
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376 (v-> @tullio res[a,b,c,d,e] := C̃[i,c,d]*v[a,b,i,e]), |
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377 ), |
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378 ( |
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379 InflatedTensorMapping(I(3,2), A), |
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380 (v-> @tullio res[a,b,c] := Ã[c,i]*v[a,b,i]), |
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381 (v-> @tullio res[a,b,c] := Ã[i,c]*v[a,b,i]), |
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382 ), |
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383 ( |
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384 InflatedTensorMapping(I(3,2), B), |
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385 (v-> @tullio res[a,b,c,d] := B̃[c,d,i]*v[a,b,i]), |
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386 (v-> @tullio res[a,b,c] := B̃[i,j,c]*v[a,b,i,j]), |
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387 ), |
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388 ( |
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389 InflatedTensorMapping(I(3,2), C), |
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390 (v-> @tullio res[a,b,c] := C̃[c,i,j]*v[a,b,i,j]), |
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391 (v-> @tullio res[a,b,c,d] := C̃[i,c,d]*v[a,b,i]), |
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392 ), |
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393 ( |
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394 InflatedTensorMapping(A,I(4)), |
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395 (v-> @tullio res[a,b] := Ã[a,i]*v[i,b]), |
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396 (v-> @tullio res[a,b] := Ã[i,a]*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 (v-> @tullio res[a,b] := B̃[i,j,a]*v[i,j,b]), |
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402 ), |
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403 ( |
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404 InflatedTensorMapping(C,I(4)), |
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405 (v-> @tullio res[a,b] := C̃[a,i,j]*v[i,j,b]), |
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406 (v-> @tullio res[a,b,c] := C̃[i,a,b]*v[i,c]), |
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407 ), |
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408 ] |
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409 |
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410 @testset "apply" begin |
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411 for i ∈ 1:length(tests) |
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412 tm = tests[i][1] |
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413 v = rand(domain_size(tm)...) |
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414 true_value = tests[i][2](v) |
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415 @test tm*v ≈ true_value rtol=1e-14 |
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416 end |
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417 end |
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418 |
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419 @testset "apply_transpose" begin |
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420 for i ∈ 1:length(tests) |
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421 tm = tests[i][1] |
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422 v = rand(range_size(tm)...) |
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423 true_value = tests[i][3](v) |
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424 @test tm'*v ≈ true_value rtol=1e-14 |
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425 end |
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426 end |
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427 |
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428 @testset "Inference of application" begin |
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429 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
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430 λ::T |
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431 size::NTuple{D,Int} |
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432 end |
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433 |
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434 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Any,D}) where {T,D} = m.λ*v[I...] |
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435 LazyTensors.range_size(m::ScalingOperator) = m.size |
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436 LazyTensors.domain_size(m::ScalingOperator) = m.size |
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437 |
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438 tm = InflatedTensorMapping(I(2,3),ScalingOperator(2.0, (3,2)),I(3,4)) |
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439 v = rand(domain_size(tm)...) |
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440 |
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441 @inferred apply(tm,v,1,2,3,2,2,4) |
508
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442 @inferred (tm*v)[1,2,3,2,2,4] |
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diff
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443 end |
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diff
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|
444 end |
453
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|
445 |
493
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446 @testset "InflatedTensorMapping of InflatedTensorMapping" begin |
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447 A = ScalingOperator(2.0,(2,3)) |
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448 itm = InflatedTensorMapping(I(3,2), A, I(4)) |
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449 @test InflatedTensorMapping(I(4), itm, I(2)) == InflatedTensorMapping(I(4,3,2), A, I(4,2)) |
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450 @test InflatedTensorMapping(itm, I(2)) == InflatedTensorMapping(I(3,2), A, I(4,2)) |
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451 @test InflatedTensorMapping(I(4), itm) == InflatedTensorMapping(I(4,3,2), A, I(4)) |
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diff
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452 |
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453 @test InflatedTensorMapping(I(2), I(2), I(2)) isa InflatedTensorMapping # The constructor should always return its type. |
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diff
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|
454 end |
429
46acb2560451
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diff
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|
455 end |
448
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diff
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456 |
520
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457 @testset "split_index" begin |
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458 @test LazyTensors.split_index(Val(2),Val(1),Val(2),Val(2),1,2,3,4,5,6) == ((1,2,:,5,6),(3,4)) |
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459 @test LazyTensors.split_index(Val(2),Val(3),Val(2),Val(2),1,2,3,4,5,6) == ((1,2,:,:,:,5,6),(3,4)) |
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460 @test LazyTensors.split_index(Val(3),Val(1),Val(1),Val(2),1,2,3,4,5,6) == ((1,2,3,:,5,6),(4,)) |
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461 @test LazyTensors.split_index(Val(3),Val(2),Val(1),Val(2),1,2,3,4,5,6) == ((1,2,3,:,:,5,6),(4,)) |
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462 @test LazyTensors.split_index(Val(1),Val(1),Val(2),Val(3),1,2,3,4,5,6) == ((1,:,4,5,6),(2,3)) |
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463 @test LazyTensors.split_index(Val(1),Val(2),Val(2),Val(3),1,2,3,4,5,6) == ((1,:,:,4,5,6),(2,3)) |
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464 |
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465 @test LazyTensors.split_index(Val(0),Val(1),Val(3),Val(3),1,2,3,4,5,6) == ((:,4,5,6),(1,2,3)) |
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466 @test LazyTensors.split_index(Val(3),Val(1),Val(3),Val(0),1,2,3,4,5,6) == ((1,2,3,:),(4,5,6)) |
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467 |
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468 @inferred LazyTensors.split_index(Val(2),Val(3),Val(2),Val(2),1,2,3,2,2,4) |
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469 end |
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470 |
456
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471 @testset "slice_tuple" begin |
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472 @test LazyTensors.slice_tuple((1,2,3),Val(1), Val(3)) == (1,2,3) |
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473 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(2), Val(5)) == (2,3,4,5) |
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474 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(1), Val(3)) == (1,2,3) |
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475 @test LazyTensors.slice_tuple((1,2,3,4,5,6),Val(4), Val(6)) == (4,5,6) |
448
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476 end |
456
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477 |
532
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478 @testset "split_tuple" begin |
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479 @testset "2 parts" begin |
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480 @test LazyTensors.split_tuple((),Val(0)) == ((),()) |
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481 @test LazyTensors.split_tuple((1,),Val(0)) == ((),(1,)) |
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482 @test LazyTensors.split_tuple((1,),Val(1)) == ((1,),()) |
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483 |
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484 @test LazyTensors.split_tuple((1,2,3,4),Val(0)) == ((),(1,2,3,4)) |
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485 @test LazyTensors.split_tuple((1,2,3,4),Val(1)) == ((1,),(2,3,4)) |
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486 @test LazyTensors.split_tuple((1,2,3,4),Val(2)) == ((1,2),(3,4)) |
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487 @test LazyTensors.split_tuple((1,2,3,4),Val(3)) == ((1,2,3),(4,)) |
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488 @test LazyTensors.split_tuple((1,2,3,4),Val(4)) == ((1,2,3,4),()) |
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parents:
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diff
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489 |
588a843907de
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490 @inferred LazyTensors.split_tuple((1,2,3,4),Val(3)) |
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Add a split_tuple function to make split_index more readable
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diff
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491 end |
588a843907de
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diff
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492 |
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diff
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493 @testset "3 parts" begin |
588a843907de
Add a split_tuple function to make split_index more readable
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diff
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494 @test LazyTensors.split_tuple((),Val(0),Val(0)) == ((),(),()) |
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parents:
526
diff
changeset
|
495 @test LazyTensors.split_tuple((1,2,3),Val(1), Val(1)) == ((1,),(2,),(3,)) |
588a843907de
Add a split_tuple function to make split_index more readable
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diff
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|
496 |
588a843907de
Add a split_tuple function to make split_index more readable
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497 @test LazyTensors.split_tuple((1,2,3,4,5,6),Val(1),Val(2)) == ((1,),(2,3),(4,5,6)) |
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Add a split_tuple function to make split_index more readable
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498 @test LazyTensors.split_tuple((1,2,3,4,5,6),Val(3),Val(2)) == ((1,2,3),(4,5),(6,)) |
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parents:
526
diff
changeset
|
499 |
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526
diff
changeset
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500 @inferred LazyTensors.split_tuple((1,2,3,4,5,6),Val(3),Val(2)) |
588a843907de
Add a split_tuple function to make split_index more readable
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diff
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501 end |
588a843907de
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diff
changeset
|
502 end |
588a843907de
Add a split_tuple function to make split_index more readable
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526
diff
changeset
|
503 |
457
8fb6a5611c7a
Add tests and docs for flatten_tuple
Jonatan Werpers <jonatan@werpers.com>
parents:
456
diff
changeset
|
504 @testset "flatten_tuple" begin |
8fb6a5611c7a
Add tests and docs for flatten_tuple
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diff
changeset
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505 @test LazyTensors.flatten_tuple((1,)) == (1,) |
8fb6a5611c7a
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diff
changeset
|
506 @test LazyTensors.flatten_tuple((1,2,3,4,5,6)) == (1,2,3,4,5,6) |
8fb6a5611c7a
Add tests and docs for flatten_tuple
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diff
changeset
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507 @test LazyTensors.flatten_tuple((1,2,(3,4),5,6)) == (1,2,3,4,5,6) |
8fb6a5611c7a
Add tests and docs for flatten_tuple
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diff
changeset
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508 @test LazyTensors.flatten_tuple((1,2,(3,(4,5)),6)) == (1,2,3,4,5,6) |
8fb6a5611c7a
Add tests and docs for flatten_tuple
Jonatan Werpers <jonatan@werpers.com>
parents:
456
diff
changeset
|
509 @test LazyTensors.flatten_tuple(((1,2),(3,4),(5,),6)) == (1,2,3,4,5,6) |
456
8f4c31e06689
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Jonatan Werpers <jonatan@werpers.com>
parents:
455
diff
changeset
|
510 end |
457
8fb6a5611c7a
Add tests and docs for flatten_tuple
Jonatan Werpers <jonatan@werpers.com>
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456
diff
changeset
|
511 |
468
a52f38e72258
Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents:
458
diff
changeset
|
512 |
477 | 513 @testset "LazyOuterProduct" begin |
470
0c3decc04649
Add some tests and fix some bugs
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parents:
469
diff
changeset
|
514 struct ScalingOperator{T,D} <: TensorMapping{T,D,D} |
0c3decc04649
Add some tests and fix some bugs
Jonatan Werpers <jonatan@werpers.com>
parents:
469
diff
changeset
|
515 λ::T |
0c3decc04649
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parents:
469
diff
changeset
|
516 size::NTuple{D,Int} |
0c3decc04649
Add some tests and fix some bugs
Jonatan Werpers <jonatan@werpers.com>
parents:
469
diff
changeset
|
517 end |
468
a52f38e72258
Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents:
458
diff
changeset
|
518 |
541
62d96e2cd165
Make the coupling between all the LazyTensors code and the Index type much weaker to make the module more flexible
Jonatan Werpers <jonatan@werpers.com>
parents:
536
diff
changeset
|
519 LazyTensors.apply(m::ScalingOperator{T,D}, v, I::Vararg{Any,D}) where {T,D} = m.λ*v[I...] |
470
0c3decc04649
Add some tests and fix some bugs
Jonatan Werpers <jonatan@werpers.com>
parents:
469
diff
changeset
|
520 LazyTensors.range_size(m::ScalingOperator) = m.size |
0c3decc04649
Add some tests and fix some bugs
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469
diff
changeset
|
521 LazyTensors.domain_size(m::ScalingOperator) = m.size |
0c3decc04649
Add some tests and fix some bugs
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parents:
469
diff
changeset
|
522 |
0c3decc04649
Add some tests and fix some bugs
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469
diff
changeset
|
523 A = ScalingOperator(2.0, (5,)) |
0c3decc04649
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Jonatan Werpers <jonatan@werpers.com>
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diff
changeset
|
524 B = ScalingOperator(3.0, (3,)) |
0c3decc04649
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parents:
469
diff
changeset
|
525 C = ScalingOperator(5.0, (3,2)) |
0c3decc04649
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parents:
469
diff
changeset
|
526 |
0c3decc04649
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parents:
469
diff
changeset
|
527 AB = LazyOuterProduct(A,B) |
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parents:
469
diff
changeset
|
528 @test AB isa TensorMapping{T,2,2} where T |
0c3decc04649
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diff
changeset
|
529 @test range_size(AB) == (5,3) |
0c3decc04649
Add some tests and fix some bugs
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parents:
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diff
changeset
|
530 @test domain_size(AB) == (5,3) |
0c3decc04649
Add some tests and fix some bugs
Jonatan Werpers <jonatan@werpers.com>
parents:
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diff
changeset
|
531 |
0c3decc04649
Add some tests and fix some bugs
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parents:
469
diff
changeset
|
532 v = rand(range_size(AB)...) |
0c3decc04649
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parents:
469
diff
changeset
|
533 @test AB*v == 6*v |
0c3decc04649
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Jonatan Werpers <jonatan@werpers.com>
parents:
469
diff
changeset
|
534 |
0c3decc04649
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diff
changeset
|
535 ABC = LazyOuterProduct(A,B,C) |
0c3decc04649
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parents:
469
diff
changeset
|
536 |
0c3decc04649
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changeset
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537 @test ABC isa TensorMapping{T,4,4} where T |
0c3decc04649
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diff
changeset
|
538 @test range_size(ABC) == (5,3,3,2) |
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parents:
469
diff
changeset
|
539 @test domain_size(ABC) == (5,3,3,2) |
0c3decc04649
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Jonatan Werpers <jonatan@werpers.com>
parents:
469
diff
changeset
|
540 |
0c3decc04649
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parents:
469
diff
changeset
|
541 @test A⊗B == AB |
0c3decc04649
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Jonatan Werpers <jonatan@werpers.com>
parents:
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diff
changeset
|
542 @test A⊗B⊗C == ABC |
0c3decc04649
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Jonatan Werpers <jonatan@werpers.com>
parents:
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diff
changeset
|
543 |
477 | 544 A = rand(3,2) |
545 B = rand(2,4,3) | |
546 | |
547 v₁ = rand(2,4,3) | |
548 v₂ = rand(4,3,2) | |
549 | |
550 Ã = LazyLinearMap(A,(1,),(2,)) | |
551 B̃ = LazyLinearMap(B,(1,),(2,3)) | |
552 | |
553 ÃB̃ = LazyOuterProduct(Ã,B̃) | |
554 @tullio ABv[i,k] := A[i,j]*B[k,l,m]*v₁[j,l,m] | |
555 @test ÃB̃*v₁ ≈ ABv | |
556 | |
557 B̃Ã = LazyOuterProduct(B̃,Ã) | |
558 @tullio BAv[k,i] := A[i,j]*B[k,l,m]*v₂[l,m,j] | |
559 @test B̃Ã*v₂ ≈ BAv | |
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560 |
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561 @testset "Indentity mapping arguments" begin |
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562 @test LazyOuterProduct(IdentityMapping(3,2), IdentityMapping(1,2)) == IdentityMapping(3,2,1,2) |
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563 |
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564 Ã = LazyLinearMap(A,(1,),(2,)) |
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565 @test LazyOuterProduct(IdentityMapping(3,2), Ã) == InflatedTensorMapping(IdentityMapping(3,2),Ã) |
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566 @test LazyOuterProduct(Ã, IdentityMapping(3,2)) == InflatedTensorMapping(Ã,IdentityMapping(3,2)) |
500 | 567 |
568 I1 = IdentityMapping(3,2) | |
569 I2 = IdentityMapping(4) | |
570 @test I1⊗Ã⊗I2 == InflatedTensorMapping(I1, Ã, I2) | |
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571 end |
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572 |
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573 end |
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574 |
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575 end |