Addition-chain exponentiation: Difference between revisions
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println("1.000025 + 0.000058i)^27182 = ", pow(Complex(1.000025, 0.000058), expchains[27182])) |
println("1.000025 + 0.000058i)^27182 = ", pow(Complex(1.000025, 0.000058), expchains[27182])) |
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println("1.000022 + 0.000050i)^31415 = ", pow(Complex(1.000022, 0.000050), expchains[31415])) |
println("1.000022 + 0.000050i)^31415 = ", pow(Complex(1.000022, 0.000050), expchains[31415])) |
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x = sqrt(1/2) |
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matrixA = [x 0 x 0 0 0; 0 x 0 x 0 0; 0 x 0 -x 0 0; -x 0 x 0 0 0; 0 0 0 0 0 1; 0 0 0 0 1 0] |
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println("matrix A ^ 27182 = ") |
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display(pow(matrixA, expchains[27182])) |
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println("matrix A ^ 31415 = ") |
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display(round.(pow(matrixA, expchains[31415]), digits=6)) |
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println("(matrix A ^ 27182) ^ 31415 = ") |
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display(pow(pow(matrixA, expchains[27182]), expchains[31415])) |
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end |
end |
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1.000025 + 0.000058i)^27182 = -0.01128636963542673 + 1.9730308496660347im |
1.000025 + 0.000058i)^27182 = -0.01128636963542673 + 1.9730308496660347im |
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1.000022 + 0.000050i)^31415 = 0.00016144681325535107 + 1.9960329014194498im |
1.000022 + 0.000050i)^31415 = 0.00016144681325535107 + 1.9960329014194498im |
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matrix A ^ 27182 = |
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6×6 Matrix{Float64}: |
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-0.5 -0.5 -0.5 0.5 0.0 0.0 |
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0.5 -0.5 -0.5 -0.5 0.0 0.0 |
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-0.5 -0.5 0.5 -0.5 0.0 0.0 |
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0.5 -0.5 0.5 0.5 0.0 0.0 |
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0.0 0.0 0.0 0.0 1.0 0.0 |
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0.0 0.0 0.0 0.0 0.0 1.0 |
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matrix A ^ 31415 = |
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6×6 Matrix{Float64}: |
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0.707107 0.0 -0.0 -0.707107 0.0 0.0 |
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-0.0 0.707107 0.707107 -0.0 0.0 0.0 |
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0.707107 -0.0 -0.0 0.707107 0.0 0.0 |
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0.0 0.707107 -0.707107 -0.0 0.0 0.0 |
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0.0 0.0 0.0 0.0 0.0 1.0 |
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0.0 0.0 0.0 0.0 1.0 0.0 |
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(matrix A ^ 27182) ^ 31415 = |
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6×6 Matrix{Float64}: |
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-0.5 0.5 -0.5 0.5 0.0 0.0 |
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-0.5 -0.5 -0.5 -0.5 0.0 0.0 |
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-0.5 -0.5 0.5 0.5 0.0 0.0 |
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0.5 -0.5 -0.5 0.5 0.0 0.0 |
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0.0 0.0 0.0 0.0 1.0 0.0 |
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0.0 0.0 0.0 0.0 0.0 1.0 |
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</pre> |
</pre> |
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