Mercurial > repos > public > sbplib_julia

annotate benchmark/benchmarks.jl @ 1375:127d2558926e feature/variable_derivatives

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Add some benchmarks
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 30 May 2023 15:55:18 +0200
parents f59228534d3a
children 43aaf710463e
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1 using BenchmarkTools
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2
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3 using Sbplib
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4 using Sbplib.Grids
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5 using Sbplib.SbpOperators
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6 using Sbplib.RegionIndices
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7 using Sbplib.LazyTensors
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9 using LinearAlgebra
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10
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11 const SUITE = BenchmarkGroup()
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13
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14 sz(d) = ntuple(i->100, d)
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15 ll(d) = ntuple(i->0., d)
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16 lu(d) = ntuple(i->1., d)
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17
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18 g1 = equidistant_grid(sz(1)[1],ll(1)[1],lu(1)[1])
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19 g2 = equidistant_grid(sz(2),ll(2),lu(2))
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20 g3 = equidistant_grid(sz(3),ll(3),lu(3))
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21
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22 v1 = rand(sz(1)...)
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23 v2 = rand(sz(2)...)
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24 v3 = rand(sz(3)...)
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25
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26 u1 = rand(sz(1)...)
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27 u2 = rand(sz(2)...)
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28 u3 = rand(sz(3)...)
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29
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30 stencil_set = read_stencil_set(joinpath(sbp_operators_path(),"standard_diagonal.toml"); order=4)
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31
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32 SUITE["derivatives"] = BenchmarkGroup()
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33
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34
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35 SUITE["derivatives"]["first_derivative"] = BenchmarkGroup()
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36
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37 D₁ = first_derivative(g1,stencil_set)
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38 SUITE["derivatives"]["first_derivative"]["1D"] = @benchmarkable $u1 .= $D₁*$v1
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39
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40 Dx = first_derivative(g2,stencil_set,1)
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41 Dy = first_derivative(g2,stencil_set,2)
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42 SUITE["derivatives"]["first_derivative"]["2D"] = BenchmarkGroup()
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43 SUITE["derivatives"]["first_derivative"]["2D"]["x"] = @benchmarkable $u2 .= $Dx*$v2
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44 SUITE["derivatives"]["first_derivative"]["2D"]["y"] = @benchmarkable $u2 .= $Dy*$v2
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45
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46 Dx = first_derivative(g3,stencil_set,1)
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47 Dy = first_derivative(g3,stencil_set,2)
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48 Dz = first_derivative(g3,stencil_set,3)
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49 SUITE["derivatives"]["first_derivative"]["3D"] = BenchmarkGroup()
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50 SUITE["derivatives"]["first_derivative"]["3D"]["x"] = @benchmarkable $u3 .= $Dx*$v3
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51 SUITE["derivatives"]["first_derivative"]["3D"]["y"] = @benchmarkable $u3 .= $Dy*$v3
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52 SUITE["derivatives"]["first_derivative"]["3D"]["z"] = @benchmarkable $u3 .= $Dz*$v3
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53
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54
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55 SUITE["derivatives"]["second_derivative"] = BenchmarkGroup()
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56
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57 D₂ = second_derivative(g1,stencil_set)
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58 SUITE["derivatives"]["second_derivative"]["1D"] = @benchmarkable $u1 .= $D₂*$v1
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59
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60 Dx = second_derivative(g2,stencil_set,1)
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61 Dy = second_derivative(g2,stencil_set,2)
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62 SUITE["derivatives"]["second_derivative"]["2D"] = BenchmarkGroup()
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63 SUITE["derivatives"]["second_derivative"]["2D"]["x"] = @benchmarkable $u2 .= $Dx*$v2
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64 SUITE["derivatives"]["second_derivative"]["2D"]["y"] = @benchmarkable $u2 .= $Dy*$v2
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65
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66 Dx = second_derivative(g3,stencil_set,1)
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67 Dy = second_derivative(g3,stencil_set,2)
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68 Dz = second_derivative(g3,stencil_set,3)
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69 SUITE["derivatives"]["second_derivative"]["3D"] = BenchmarkGroup()
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70 SUITE["derivatives"]["second_derivative"]["3D"]["x"] = @benchmarkable $u3 .= $Dx*$v3
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71 SUITE["derivatives"]["second_derivative"]["3D"]["y"] = @benchmarkable $u3 .= $Dy*$v3
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72 SUITE["derivatives"]["second_derivative"]["3D"]["z"] = @benchmarkable $u3 .= $Dz*$v3
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73
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75 SUITE["derivatives"]["second_derivative_variable"] = BenchmarkGroup()
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76
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77 c1 = map(x->sin(x)+2, g1)
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78 D₂ = second_derivative_variable(g1, c1, stencil_set)
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79 SUITE["derivatives"]["second_derivative_variable"]["1D"] = @benchmarkable $u1 .= $D₂*$v1
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80
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81 c2 = map(x->sin(x[1] + x[2])+2, g2)
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82 Dx = second_derivative_variable(g2, c2, stencil_set, 1)
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83 Dy = second_derivative_variable(g2, c2, stencil_set, 2)
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84 SUITE["derivatives"]["second_derivative_variable"]["2D"] = BenchmarkGroup()
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85 SUITE["derivatives"]["second_derivative_variable"]["2D"]["x"] = @benchmarkable $u2 .= $Dx*$v2
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86 SUITE["derivatives"]["second_derivative_variable"]["2D"]["y"] = @benchmarkable $u2 .= $Dy*$v2
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87
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88 c3 = map(x->sin(norm(x))+2, g3)
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89 Dx = second_derivative_variable(g3, c3, stencil_set, 1)
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90 Dy = second_derivative_variable(g3, c3, stencil_set, 2)
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91 Dz = second_derivative_variable(g3, c3, stencil_set, 3)
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92 SUITE["derivatives"]["second_derivative_variable"]["3D"] = BenchmarkGroup()
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93 SUITE["derivatives"]["second_derivative_variable"]["3D"]["x"] = @benchmarkable $u3 .= $Dx*$v3
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94 SUITE["derivatives"]["second_derivative_variable"]["3D"]["y"] = @benchmarkable $u3 .= $Dy*$v3
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95 SUITE["derivatives"]["second_derivative_variable"]["3D"]["z"] = @benchmarkable $u3 .= $Dz*$v3
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96
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99
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100 SUITE["derivatives"]["addition"] = BenchmarkGroup()
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101
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102 D₁ = first_derivative(g1,stencil_set)
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103 D₂ = second_derivative(g1,stencil_set)
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104 SUITE["derivatives"]["addition"]["1D"] = BenchmarkGroup()
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105 SUITE["derivatives"]["addition"]["1D"]["apply,add"] = @benchmarkable $u1 .= $D₁*$v1 + $D₂*$v1
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106 SUITE["derivatives"]["addition"]["1D"]["add,apply"] = @benchmarkable $u1 .= ($D₁ + $D₂)*$v1
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107
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108 Dxx = second_derivative(g2,stencil_set,1)
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109 Dyy = second_derivative(g2,stencil_set,2)
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110 SUITE["derivatives"]["addition"]["2D"] = BenchmarkGroup()
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111 SUITE["derivatives"]["addition"]["2D"]["apply,add"] = @benchmarkable $u2 .= $Dxx*$v2 + $Dyy*$v2
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112 SUITE["derivatives"]["addition"]["2D"]["add,apply"] = @benchmarkable $u2 .= ($Dxx + $Dyy)*$v2
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113
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114 Dxx = second_derivative(g3,stencil_set,1)
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115 Dyy = second_derivative(g3,stencil_set,2)
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116 Dzz = second_derivative(g3,stencil_set,3)
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117 SUITE["derivatives"]["addition"]["3D"] = BenchmarkGroup()
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118 SUITE["derivatives"]["addition"]["3D"]["apply,add"] = @benchmarkable $u3 .= $Dxx*$v3 + $Dyy*$v3 + $Dzz*$v3
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119 SUITE["derivatives"]["addition"]["3D"]["add,apply"] = @benchmarkable $u3 .= ($Dxx + $Dyy + $Dzz)*$v3
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120
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121
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122 SUITE["derivatives"]["composition"] = BenchmarkGroup()
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123
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124 Dx = first_derivative(g1,stencil_set)
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125 SUITE["derivatives"]["composition"]["1D"] = BenchmarkGroup()
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126 SUITE["derivatives"]["composition"]["1D"]["apply,apply"] = @benchmarkable $u1 .= $Dx*($Dx*$v1)
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127 SUITE["derivatives"]["composition"]["1D"]["compose,apply"] = @benchmarkable $u1 .= ($Dx∘$Dx)*$v1
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128
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129 Dx = first_derivative(g2,stencil_set,1)
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130 Dy = first_derivative(g2,stencil_set,2)
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131 SUITE["derivatives"]["composition"]["2D"] = BenchmarkGroup()
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132 SUITE["derivatives"]["composition"]["2D"]["apply,apply"] = @benchmarkable $u2 .= $Dy*($Dx*$v2)
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133 SUITE["derivatives"]["composition"]["2D"]["compose,apply"] = @benchmarkable $u2 .= ($Dy∘$Dx)*$v2
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134
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135 Dx = first_derivative(g3,stencil_set,1)
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136 Dy = first_derivative(g3,stencil_set,2)
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137 Dz = first_derivative(g3,stencil_set,3)
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138 SUITE["derivatives"]["composition"]["3D"] = BenchmarkGroup()
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139 SUITE["derivatives"]["composition"]["3D"]["xy"] = BenchmarkGroup()
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140 SUITE["derivatives"]["composition"]["3D"]["xy"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dy*$v3)
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141 SUITE["derivatives"]["composition"]["3D"]["xy"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dy)*$v3
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142
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143 SUITE["derivatives"]["composition"]["3D"]["yz"] = BenchmarkGroup()
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144 SUITE["derivatives"]["composition"]["3D"]["yz"]["apply,apply"] = @benchmarkable $u3 .= $Dy*($Dz*$v3)
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145 SUITE["derivatives"]["composition"]["3D"]["yz"]["compose,apply"] = @benchmarkable $u3 .= ($Dy∘$Dz)*$v3
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146
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147 SUITE["derivatives"]["composition"]["3D"]["xz"] = BenchmarkGroup()
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148 SUITE["derivatives"]["composition"]["3D"]["xz"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dz*$v3)
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149 SUITE["derivatives"]["composition"]["3D"]["xz"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dz)*$v3
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150
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151 SUITE["derivatives"]["composition"]["3D"]["xx"] = BenchmarkGroup()
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152 SUITE["derivatives"]["composition"]["3D"]["xx"]["apply,apply"] = @benchmarkable $u3 .= $Dx*($Dx*$v3)
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153 SUITE["derivatives"]["composition"]["3D"]["xx"]["compose,apply"] = @benchmarkable $u3 .= ($Dx∘$Dx)*$v3
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154
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155 SUITE["derivatives"]["composition"]["3D"]["yy"] = BenchmarkGroup()
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156 SUITE["derivatives"]["composition"]["3D"]["yy"]["apply,apply"] = @benchmarkable $u3 .= $Dy*($Dy*$v3)
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157 SUITE["derivatives"]["composition"]["3D"]["yy"]["compose,apply"] = @benchmarkable $u3 .= ($Dy∘$Dy)*$v3
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158
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159 SUITE["derivatives"]["composition"]["3D"]["zz"] = BenchmarkGroup()
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160 SUITE["derivatives"]["composition"]["3D"]["zz"]["apply,apply"] = @benchmarkable $u3 .= $Dz*($Dz*$v3)
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161 SUITE["derivatives"]["composition"]["3D"]["zz"]["compose,apply"] = @benchmarkable $u3 .= ($Dz∘$Dz)*$v3
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162
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163
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164 SUITE["boundary_terms"] = BenchmarkGroup()
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165
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166 H = inner_product(g2, stencil_set)
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167 H⁻¹ = inverse_inner_product(g2, stencil_set)
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168 Dxx = second_derivative(g2, stencil_set, 1)
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169 Dyy = second_derivative(g2, stencil_set, 2)
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170
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171 e₁ₗ = boundary_restriction(g2, stencil_set, CartesianBoundary{1,Lower}())
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172 e₁ᵤ = boundary_restriction(g2, stencil_set, CartesianBoundary{1,Upper}())
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173 e₂ₗ = boundary_restriction(g2, stencil_set, CartesianBoundary{2,Lower}())
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174 e₂ᵤ = boundary_restriction(g2, stencil_set, CartesianBoundary{2,Upper}())
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175
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176 d₁ₗ = normal_derivative(g2, stencil_set, CartesianBoundary{1,Lower}())
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177 d₁ᵤ = normal_derivative(g2, stencil_set, CartesianBoundary{1,Upper}())
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178 d₂ₗ = normal_derivative(g2, stencil_set, CartesianBoundary{2,Lower}())
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179 d₂ᵤ = normal_derivative(g2, stencil_set, CartesianBoundary{2,Upper}())
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180
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181 H₁ₗ = inner_product(boundary_grid(g2, CartesianBoundary{1,Lower}()), stencil_set)
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182 H₁ᵤ = inner_product(boundary_grid(g2, CartesianBoundary{1,Upper}()), stencil_set)
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183 H₂ₗ = inner_product(boundary_grid(g2, CartesianBoundary{2,Lower}()), stencil_set)
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184 H₂ᵤ = inner_product(boundary_grid(g2, CartesianBoundary{2,Upper}()), stencil_set)
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185
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186 SUITE["boundary_terms"]["pre_composition"] = @benchmarkable $u2 .= $(H⁻¹∘e₁ₗ'∘H₁ₗ∘d₁ₗ)*$v2
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187 SUITE["boundary_terms"]["composition"] = @benchmarkable $u2 .= ($H⁻¹∘$e₁ₗ'∘$H₁ₗ∘$d₁ₗ)*$v2
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188 SUITE["boundary_terms"]["application"] = @benchmarkable $u2 .= $H⁻¹*$e₁ₗ'*$H₁ₗ* $d₁ₗ*$v2
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189 # An investigation of these allocations can be found in the branch `allocation_test`
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190
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191 #TODO: Reorg with dimension as first level? To reduce operator creation?
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192
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193
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194
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195 SUITE["lazy_tensors"] = BenchmarkGroup()
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196
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197 SUITE["lazy_tensors"]["compositions"] = BenchmarkGroup()
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198 s = ScalingTensor(1.,(10,))
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199 u = rand(10)
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200 v = similar(u)
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201 s3 = s∘s∘s
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202 s4 = s∘s∘s∘s
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203 SUITE["lazy_tensors"]["compositions"]["s∘s∘s"] = @benchmarkable $v .= $s3*$u
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204 SUITE["lazy_tensors"]["compositions"]["s∘s∘s∘s"] = @benchmarkable $v .= $s4*$u
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205
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206
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207 SUITE