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README update
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@chriselrod
chriselrod committed Aug 28, 2024
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Expand Up @@ -20,51 +20,99 @@ julia> N = 100;

julia> A = rand(N,N); B = rand(N,N); C = similar(A);

julia> @benchmark TriangularSolve.rdiv!($C, $A, UpperTriangular($B), Val(false)) # false means single threaded
julia> @benchmark TriangularSolve.rdiv!(copyto!($C, $A), UpperTriangular($B), Val(false)) # false means single threaded
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 15.909 μs … 41.524 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 17.916 μs ┊ GC (median): 0.00%
Time (mean ± σ): 17.751 μs ± 697.786 ns ┊ GC (mean ± σ): 0.00% ± 0.00%
Range (min … max): 12.106 μs … 108.141 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 12.841 μs ┊ GC (median): 0.00%
Time (mean ± σ): 12.862 μs ± 1.585 μs ┊ GC (mean ± σ): 0.00% ± 0.00%

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15.9 μs Histogram: log(frequency) by time 19.9 μs <
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12.1 μs Histogram: frequency by time 16.6 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark rdiv!(copyto!($C, $A), UpperTriangular($B))
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 17.578 μs … 75.835 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 19.852 μs ┊ GC (median): 0.00%
Time (mean ± σ): 19.827 μs ± 1.342 μs ┊ GC (mean ± σ): 0.00% ± 0.00%
Range (min … max): 13.483 μs … 31.165 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 13.698 μs ┊ GC (median): 0.00%
Time (mean ± σ): 13.816 μs ± 791.937 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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17.6 μs Histogram: log(frequency) by time 22.4 μs <
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13.5 μs Histogram: log(frequency) by time 16.8 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark ldiv!($C, LowerTriangular($B), $A)
julia> @benchmark TriangularSolve.rdiv!(copyto!($C, $A), LowerTriangular($B), Val(false)) # false means single threaded
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 19.102 μs … 69.966 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 21.561 μs ┊ GC (median): 0.00%
Time (mean ± σ): 21.565 μs ± 890.952 ns ┊ GC (mean ± σ): 0.00% ± 0.00%
Range (min … max): 12.990 μs … 35.762 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 13.094 μs ┊ GC (median): 0.00%
Time (mean ± σ): 13.170 μs ± 636.637 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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19.1 μs Histogram: log(frequency) by time 23.4 μs <
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13 μs Histogram: log(frequency) by time 16 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark TriangularSolve.ldiv!($C, LowerTriangular($B), $A, Val(false)) # false means single threaded
julia> @benchmark rdiv!(copyto!($C, $A), LowerTriangular($B))
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 14.119 μs … 32.767 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 14.321 μs ┊ GC (median): 0.00%
Time (mean ± σ): 14.372 μs ± 461.912 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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14.1 μs Histogram: frequency by time 17.3 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark TriangularSolve.ldiv!(LowerTriangular($B), copyto!($C, $A), Val(false)) # false means single threaded
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 16.579 μs … 38.431 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 16.728 μs ┊ GC (median): 0.00%
Time (mean ± σ): 16.812 μs ± 640.766 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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16.6 μs Histogram: log(frequency) by time 19.6 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark ldiv!(LowerTriangular($B), copyto!($C, $A))
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 15.763 μs … 38.550 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 15.936 μs ┊ GC (median): 0.00%
Time (mean ± σ): 16.351 μs ± 1.103 μs ┊ GC (mean ± σ): 0.00% ± 0.00%

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15.8 μs Histogram: log(frequency) by time 19.5 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark TriangularSolve.ldiv!(UpperTriangular($B), copyto!($C, $A), Val(false)) # false means single threaded
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 15.921 μs … 34.610 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 16.180 μs ┊ GC (median): 0.00%
Time (mean ± σ): 16.290 μs ± 733.446 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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15.9 μs Histogram: log(frequency) by time 19.1 μs <

Memory estimate: 0 bytes, allocs estimate: 0.

julia> @benchmark ldiv!(UpperTriangular($B), copyto!($C, $A))
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
Range (min … max): 19.082 μs … 39.078 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 19.694 μs ┊ GC (median): 0.00%
Time (mean ± σ): 19.765 μs ± 774.848 ns ┊ GC (mean ± σ): 0.00% ± 0.00%
Range (min … max): 15.085 μs … 37.057 μs ┊ GC (min … max): 0.00% … 0.00%
Time (median): 15.274 μs ┊ GC (median): 0.00%
Time (mean ± σ): 15.373 μs ± 733.025 ns ┊ GC (mean ± σ): 0.00% ± 0.00%

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19.1 μs Histogram: frequency by time 22.1 μs <
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15.1 μs Histogram: log(frequency) by time 18.3 μs <

Memory estimate: 0 bytes, allocs estimate: 0.
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