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annotate benchmark/benchmarks.jl @ 1304:37d615522c2f tooling/benchmarks

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Add a simple benchmark demonstrating allocations with compositions
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Apr 2023 13:08:05 +0200
parents 58a7aa15ce68
children 6ae9b98b15b9
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1 using BenchmarkTools
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2 using Sbplib
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3 using Sbplib.Grids
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4 using Sbplib.SbpOperators
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5 using Sbplib.RegionIndices
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6
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7 const SUITE = BenchmarkGroup()
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8
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9
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10 sz(d) = ntuple(i->100, d)
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11 ll(d) = ntuple(i->0., d)
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12 lu(d) = ntuple(i->1., d)
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13
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14 g1 = EquidistantGrid(sz(1),ll(1),lu(1))
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15 g2 = EquidistantGrid(sz(2),ll(2),lu(2))
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16 g3 = EquidistantGrid(sz(3),ll(3),lu(3))
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17
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18 v1 = rand(sz(1)...)
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19 v2 = rand(sz(2)...)
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20 v3 = rand(sz(3)...)
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21
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22 u1 = rand(sz(1)...)
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23 u2 = rand(sz(2)...)
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24 u3 = rand(sz(3)...)
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25
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26 stencil_set = read_stencil_set(joinpath(sbp_operators_path(),"standard_diagonal.toml"); order=4)
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27
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28 SUITE["derivatives"] = BenchmarkGroup()
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29
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30
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31 SUITE["derivatives"]["first_derivative"] = BenchmarkGroup()
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32
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33 D₁ = first_derivative(g1,stencil_set)
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34 SUITE["derivatives"]["first_derivative"]["1D"] = @benchmarkable $u1 .= $D₁*$v1
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35
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36 Dx = first_derivative(g2,stencil_set,1)
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37 Dy = first_derivative(g2,stencil_set,2)
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38 SUITE["derivatives"]["first_derivative"]["2D"] = BenchmarkGroup()
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39 SUITE["derivatives"]["first_derivative"]["2D"]["x"] = @benchmarkable $u2 .= $Dx*$v2
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40 SUITE["derivatives"]["first_derivative"]["2D"]["y"] = @benchmarkable $u2 .= $Dy*$v2
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41
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42 Dx = first_derivative(g3,stencil_set,1)
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43 Dy = first_derivative(g3,stencil_set,2)
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44 Dz = first_derivative(g3,stencil_set,3)
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45 SUITE["derivatives"]["first_derivative"]["3D"] = BenchmarkGroup()
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46 SUITE["derivatives"]["first_derivative"]["3D"]["x"] = @benchmarkable $u3 .= $Dx*$v3
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47 SUITE["derivatives"]["first_derivative"]["3D"]["y"] = @benchmarkable $u3 .= $Dy*$v3
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48 SUITE["derivatives"]["first_derivative"]["3D"]["z"] = @benchmarkable $u3 .= $Dz*$v3
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49
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50
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51 SUITE["derivatives"]["second_derivative"] = BenchmarkGroup()
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52
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53 D₂ = second_derivative(g1,stencil_set)
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54 SUITE["derivatives"]["second_derivative"]["1D"] = @benchmarkable $u1 .= $D₂*$v1
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55
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56 Dx = second_derivative(g2,stencil_set,1)
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57 Dy = second_derivative(g2,stencil_set,2)
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58 SUITE["derivatives"]["second_derivative"]["2D"] = BenchmarkGroup()
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59 SUITE["derivatives"]["second_derivative"]["2D"]["x"] = @benchmarkable $u2 .= $Dx*$v2
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60 SUITE["derivatives"]["second_derivative"]["2D"]["y"] = @benchmarkable $u2 .= $Dy*$v2
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61
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62 Dx = second_derivative(g3,stencil_set,1)
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63 Dy = second_derivative(g3,stencil_set,2)
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64 Dz = second_derivative(g3,stencil_set,3)
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65 SUITE["derivatives"]["second_derivative"]["3D"] = BenchmarkGroup()
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66 SUITE["derivatives"]["second_derivative"]["3D"]["x"] = @benchmarkable $u3 .= $Dx*$v3
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67 SUITE["derivatives"]["second_derivative"]["3D"]["y"] = @benchmarkable $u3 .= $Dy*$v3
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68 SUITE["derivatives"]["second_derivative"]["3D"]["z"] = @benchmarkable $u3 .= $Dz*$v3
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71
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72 SUITE["derivatives"]["addition"] = BenchmarkGroup()
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73
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74 D₁ = first_derivative(g1,stencil_set)
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75 D₂ = second_derivative(g1,stencil_set)
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76 SUITE["derivatives"]["addition"]["1D"] = BenchmarkGroup()
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77 SUITE["derivatives"]["addition"]["1D"]["apply,add"] = @benchmarkable $u1 .= $D₁*$v1 + $D₂*$v1
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78 SUITE["derivatives"]["addition"]["1D"]["add,apply"] = @benchmarkable $u1 .= ($D₁ + $D₂)*$v1
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79
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80 Dxx = second_derivative(g2,stencil_set,1)
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81 Dyy = second_derivative(g2,stencil_set,2)
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82 SUITE["derivatives"]["addition"]["2D"] = BenchmarkGroup()
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83 SUITE["derivatives"]["addition"]["2D"]["apply,add"] = @benchmarkable $u2 .= $Dxx*$v2 + $Dyy*$v2
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84 SUITE["derivatives"]["addition"]["2D"]["add,apply"] = @benchmarkable $u2 .= ($Dxx + $Dyy)*$v2
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85
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86 Dxx = second_derivative(g3,stencil_set,1)
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87 Dyy = second_derivative(g3,stencil_set,2)
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88 Dzz = second_derivative(g3,stencil_set,3)
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89 SUITE["derivatives"]["addition"]["3D"] = BenchmarkGroup()
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90 SUITE["derivatives"]["addition"]["3D"]["apply,add"] = @benchmarkable $u3 .= $Dxx*$v3 + $Dyy*$v3 + $Dzz*$v3
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91 SUITE["derivatives"]["addition"]["3D"]["add,apply"] = @benchmarkable $u3 .= ($Dxx + $Dyy + $Dzz)*$v3
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94 SUITE["derivatives"]["composition"] = BenchmarkGroup()
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95
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96 Dx = first_derivative(g1,stencil_set)
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97 SUITE["derivatives"]["composition"]["1D"] = BenchmarkGroup()
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98 SUITE["derivatives"]["composition"]["1D"]["apply,apply"] = @benchmarkable $u1 .= $Dx*($Dx*$v1)
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99 SUITE["derivatives"]["composition"]["1D"]["compose,apply"] = @benchmarkable $u1 .= ($Dx∘$Dx)*$v1
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100
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101 Dx = first_derivative(g2,stencil_set,1)
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102 Dy = first_derivative(g2,stencil_set,2)
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103 SUITE["derivatives"]["composition"]["2D"] = BenchmarkGroup()
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104 SUITE["derivatives"]["composition"]["2D"]["apply,apply"] = @benchmarkable $u2 .= $Dy*($Dx*$v2)
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105 SUITE["derivatives"]["composition"]["2D"]["compose,apply"] = @benchmarkable $u2 .= ($Dy∘$Dx)*$v2
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106
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107 Dx = first_derivative(g3,stencil_set,1)
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108 Dy = first_derivative(g3,stencil_set,2)
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109 Dz = first_derivative(g3,stencil_set,3)
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110 SUITE["derivatives"]["composition"]["3D"] = BenchmarkGroup()
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111 SUITE["derivatives"]["composition"]["3D"]["xy"] = BenchmarkGroup()
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112 SUITE["derivatives"]["composition"]["3D"]["xy"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dy*$v3)
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113 SUITE["derivatives"]["composition"]["3D"]["xy"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dy)*$v3
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114
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115 SUITE["derivatives"]["composition"]["3D"]["yz"] = BenchmarkGroup()
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116 SUITE["derivatives"]["composition"]["3D"]["yz"]["apply,apply"] = @benchmarkable $u3 .= $Dy*($Dz*$v3)
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117 SUITE["derivatives"]["composition"]["3D"]["yz"]["compose,apply"] = @benchmarkable $u3 .= ($Dy∘$Dz)*$v3
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118
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119 SUITE["derivatives"]["composition"]["3D"]["xz"] = BenchmarkGroup()
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120 SUITE["derivatives"]["composition"]["3D"]["xz"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dz*$v3)
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121 SUITE["derivatives"]["composition"]["3D"]["xz"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dz)*$v3
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122
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123 SUITE["derivatives"]["composition"]["3D"]["xx"] = BenchmarkGroup()
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124 SUITE["derivatives"]["composition"]["3D"]["xx"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dx*$v3)
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125 SUITE["derivatives"]["composition"]["3D"]["xx"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dx)*$v3
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126
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127 SUITE["derivatives"]["composition"]["3D"]["yy"] = BenchmarkGroup()
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128 SUITE["derivatives"]["composition"]["3D"]["yy"]["apply,apply"] = @benchmarkable $u3 .= $Dy*($Dy*$v3)
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129 SUITE["derivatives"]["composition"]["3D"]["yy"]["compose,apply"] = @benchmarkable $u3 .= ($Dy∘$Dy)*$v3
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130
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131 SUITE["derivatives"]["composition"]["3D"]["zz"] = BenchmarkGroup()
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132 SUITE["derivatives"]["composition"]["3D"]["zz"]["apply,apply"] = @benchmarkable $u3 .= $Dz*($Dz*$v3)
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133 SUITE["derivatives"]["composition"]["3D"]["zz"]["compose,apply"] = @benchmarkable $u3 .= ($Dz∘$Dz)*$v3
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134
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135
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136 SUITE["boundary_terms"] = BenchmarkGroup()
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137
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138 H = inner_product(g2, stencil_set)
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139 H⁻¹ = inverse_inner_product(g2, stencil_set)
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140 Dxx = second_derivative(g2, stencil_set, 1)
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141 Dyy = second_derivative(g2, stencil_set, 2)
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142
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143 e₁ₗ = boundary_restriction(g2, stencil_set, CartesianBoundary{1,Lower}())
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144 e₁ᵤ = boundary_restriction(g2, stencil_set, CartesianBoundary{1,Upper}())
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145 e₂ₗ = boundary_restriction(g2, stencil_set, CartesianBoundary{2,Lower}())
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146 e₂ᵤ = boundary_restriction(g2, stencil_set, CartesianBoundary{2,Upper}())
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147
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148 d₁ₗ = normal_derivative(g2, stencil_set, CartesianBoundary{1,Lower}())
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149 d₁ᵤ = normal_derivative(g2, stencil_set, CartesianBoundary{1,Upper}())
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150 d₂ₗ = normal_derivative(g2, stencil_set, CartesianBoundary{2,Lower}())
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151 d₂ᵤ = normal_derivative(g2, stencil_set, CartesianBoundary{2,Upper}())
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152
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153 H₁ₗ = inner_product(boundary_grid(g2, CartesianBoundary{1,Lower}()), stencil_set)
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154 H₁ᵤ = inner_product(boundary_grid(g2, CartesianBoundary{1,Upper}()), stencil_set)
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155 H₂ₗ = inner_product(boundary_grid(g2, CartesianBoundary{2,Lower}()), stencil_set)
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156 H₂ᵤ = inner_product(boundary_grid(g2, CartesianBoundary{2,Upper}()), stencil_set)
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157
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158 SUITE["boundary_terms"]["pre_composition"] = @benchmarkable $u2 .= $(H⁻¹∘e₁ₗ'∘H₁ₗ∘d₁ₗ)*$v2
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159 SUITE["boundary_terms"]["composition"] = @benchmarkable $u2 .= ($H⁻¹∘$e₁ₗ'∘$H₁ₗ∘$d₁ₗ)*$v2
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160 SUITE["boundary_terms"]["application"] = @benchmarkable $u2 .= $H⁻¹*$e₁ₗ'*$H₁ₗ* $d₁ₗ*$v2
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161 # An investigation of these allocations can be found in the branch `allocation_test`
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162
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163 #TODO: Reorg with dimension as first level? To reduce operator creation?
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164
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166
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167 SUITE["lazy_tensors"] = BenchmarkGroup()
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168
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169 SUITE["lazy_tensors"]["compositions"] = BenchmarkGroup()
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170 s = ScalingTensor(1.,(10,))
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171 u = rand(10)
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172 v = similar(u)
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173 s3 = s∘s∘s
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174 s4 = s∘s∘s∘s
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175 SUITE["lazy_tensors"]["compositions"]["s∘s∘s"] = @benchmarkable $v .= $s3*$u
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176 SUITE["lazy_tensors"]["compositions"]["s∘s∘s∘s"] = @benchmarkable $v .= $s4*$u
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177
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178
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179 SUITE