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1.5.0-DEV-e0740fe5a6.log
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Julia Version 1.5.0-DEV.147
Commit e0740fe5a6 (2020-01-24 14:13 UTC)
Platform Info:
OS: Linux (x86_64-pc-linux-gnu)
CPU: Intel(R) Xeon(R) Silver 4114 CPU @ 2.20GHz
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-8.0.1 (ORCJIT, skylake)
Environment:
JULIA_DEPOT_PATH = ::/usr/local/share/julia
JULIA_NUM_THREADS = 2
Resolving package versions...
Installed NaNMath ────────── v0.3.3
Installed Calculus ───────── v0.5.1
Installed OpenSpecFun_jll ── v0.5.3+1
Installed Compat ─────────── v2.2.0
Installed HyperDualNumbers ─ v4.0.0
Installed SpecialFunctions ─ v0.10.0
Updating `~/.julia/environments/v1.5/Project.toml`
[50ceba7f] + HyperDualNumbers v4.0.0
Updating `~/.julia/environments/v1.5/Manifest.toml`
[49dc2e85] + Calculus v0.5.1
[34da2185] + Compat v2.2.0
[50ceba7f] + HyperDualNumbers v4.0.0
[77ba4419] + NaNMath v0.3.3
[efe28fd5] + OpenSpecFun_jll v0.5.3+1
[276daf66] + SpecialFunctions v0.10.0
[2a0f44e3] + Base64
[ade2ca70] + Dates
[8bb1440f] + DelimitedFiles
[8ba89e20] + Distributed
[b77e0a4c] + InteractiveUtils
[76f85450] + LibGit2
[8f399da3] + Libdl
[37e2e46d] + LinearAlgebra
[56ddb016] + Logging
[d6f4376e] + Markdown
[a63ad114] + Mmap
[44cfe95a] + Pkg
[de0858da] + Printf
[3fa0cd96] + REPL
[9a3f8284] + Random
[ea8e919c] + SHA
[9e88b42a] + Serialization
[1a1011a3] + SharedArrays
[6462fe0b] + Sockets
[2f01184e] + SparseArrays
[10745b16] + Statistics
[8dfed614] + Test
[cf7118a7] + UUIDs
[4ec0a83e] + Unicode
Testing HyperDualNumbers
Installed Parsers ───────────── v0.3.10
Installed DocStringExtensions ─ v0.8.1
Installed JSON ──────────────── v0.21.0
Installed Literate ──────────── v2.2.1
Installed Documenter ────────── v0.24.4
Updating `/tmp/jl_dYru1K/Project.toml`
[e30172f5] + Documenter v0.24.4
[98b081ad] + Literate v2.2.1
Updating `/tmp/jl_dYru1K/Manifest.toml`
[ffbed154] + DocStringExtensions v0.8.1
[e30172f5] + Documenter v0.24.4
[682c06a0] + JSON v0.21.0
[98b081ad] + Literate v2.2.1
[69de0a69] + Parsers v0.3.10
Running sandbox
Status `/tmp/jl_dYru1K/Project.toml`
[49dc2e85] Calculus v0.5.1
[34da2185] Compat v2.2.0
[e30172f5] Documenter v0.24.4
[50ceba7f] HyperDualNumbers v4.0.0
[98b081ad] Literate v2.2.1
[77ba4419] NaNMath v0.3.3
[276daf66] SpecialFunctions v0.10.0
[37e2e46d] LinearAlgebra
[9a3f8284] Random
[8dfed614] Test
Running tests:
* test_basics.jl *
Examples of show() for hyperdual numbers with NaN:
hdNaN = NaN + 0.0ε₁ + 0.0ε₂ + 0.0ε₁ε₂
hdNaN + hd4 = NaN + 4.0ε₁ + 3.0ε₂ + 4.0ε₁ε₂
Testing includes Tim Holy's division performance improvement.
Testing includes ngedwin98's fixes for asin, acos and atan.
* test_TimHoly_example.jl *
8//25 - 8//5ε₁ - 8//5ε₂ + 144//25ε₁ε₂
* test_Paper_example.jl *
"THE" example
f(1.5) = 4.497780053946162
t0 = 1.5 + 1.0ε₁ + 1.0ε₂ + 0.0ε₁ε₂
t1 = 4.4816890703380645 + 4.4816890703380645ε₁ + 4.4816890703380645ε₂ + 4.4816890703380645ε₁ε₂
t2 = 0.9974949866040544 + 0.0707372016677029ε₁ + 0.0707372016677029ε₂ - 0.9974949866040544ε₁ε₂
t3 = 0.9925037693693152 + 0.21114975082386195ε₁ + 0.21114975082386195ε₂ - 2.947564004699509ε₁ε₂
t4 = 0.0707372016677029 - 0.9974949866040544ε₁ - 0.9974949866040544ε₂ - 0.0707372016677029ε₁ε₂
t5 = 0.000353951393082256 - 0.014973651704218029ε₁ - 0.014973651704218029ε₂ + 0.4212376474684772ε₁ε₂
t5a = 0.000353951393082256 - 0.014973651704218029ε₁ - 0.014973651704218029ε₂ + 0.4212376474684772ε₁ε₂
t6 = 0.9928577207623974 + 0.19617609911964393ε₁ + 0.19617609911964393ε₂ - 2.526326357231032ε₁ε₂
t7 = 1.0035903837494204 - 0.0991483686337086ε₁ - 0.0991483686337086ε₂ + 1.3062034995890381ε₁ε₂
t8 = 4.497780053946162 + 4.053427893898621ε₁ + 4.053427893898621ε₂ + 9.463073681596601ε₁ε₂
f(t0) = 4.497780053946161 + 4.05342789389862ε₁ + 4.05342789389862ε₂ + 9.463073681596601ε₁ε₂
* test_Erf_example.jl *
24.274806105338804 = 24.274806105338804
0.8416019755317149 = 0.8416019755317149
0.008545857737238424 = 0.00854585773723843
Test Erf Passed
* tests_for_coverage.jl *
Random examples of show() for hyperdual numbers:
h = NaN - Inf*ε₁ - 1.0ε₂ - 1.0ε₁ε₂
h = Inf + Inf*ε₁ + 0.0ε₂ + Inf*ε₁ε₂
h = -1.0 + 0.0ε₁ + 1.0ε₂ + Inf*ε₁ε₂
h = 1.0 + Inf*ε₁ - Inf*ε₂ - Inf*ε₁ε₂
h = -1.0 + Inf*ε₁ + 0.0ε₂ + Inf*ε₁ε₂
h = -Inf - Inf*ε₁ + Inf*ε₂ + NaN*ε₁ε₂
h = NaN - 1.0ε₁ + Inf*ε₂ - Inf*ε₁ε₂
h = -1.0 + Inf*ε₁ + 1.0ε₂ - 1.0ε₁ε₂
h = -Inf + 1.0ε₁ + 1.0ε₂ + Inf*ε₁ε₂
h = Inf + NaN*ε₁ + 0.0ε₂ + 0.0ε₁ε₂
h = -Inf + 0.0im + 0.0ε₁ + 0.0imε₁ + 1.0ε₂ + 0.0imε₂ - 1.0ε₁ε₂ + 1.0imε₁ε₂
h = -1.0 + 0.0im + NaNε₁ + 0.0imε₁ - 1.0ε₂ + 0.0imε₂ + 1.0ε₁ε₂ + 0.0imε₁ε₂
h = -1.0 + 0.0im + NaNε₁ + 0.0imε₁ + 0.0ε₂ - 1.0imε₂ + NaNε₁ε₂ + 0.0imε₁ε₂
h = 1.0 - 1.0im + 0.0ε₁ - 1.0imε₁ - 1.0ε₂ + 1.0imε₂ + 0.0ε₁ε₂ - 1.0imε₁ε₂
h = 0.0 - 1.0im - 1.0ε₁ + 1.0imε₁ - 1.0ε₂ + 0.0imε₂ + 0.0ε₁ε₂ + 0.0imε₁ε₂
h = 0.0 + 1.0im - 1.0ε₁ + 1.0imε₁ - 1.0ε₂ + 0.0imε₂ + 1.0ε₁ε₂ + 1.0imε₁ε₂
h = -1.0 + 1.0im + 0.0ε₁ + 0.0imε₁ - 1.0ε₂ + 1.0imε₂ + 1.0ε₁ε₂ - 1.0imε₁ε₂
h = -1.0 - 1.0im + NaNε₁ + 0.0imε₁ + Infε₂ + 0.0imε₂ - Infε₁ε₂ + 0.0imε₁ε₂
h = 0.0 - 1.0im + 1.0ε₁ - 1.0imε₁ + 0.0ε₂ - 1.0imε₂ - Infε₁ε₂ + 0.0imε₁ε₂
h = -1.0 + 0.0im - Infε₁ + 0.0imε₁ - Infε₂ + 0.0imε₂ + Infε₁ε₂ + 0.0imε₁ε₂
h = 0 + 0im + 0ε₁ + 0imε₁ + 0ε₂ + 1imε₂ + 0ε₁ε₂ + 1imε₁ε₂
h = 0 + 1im + 0ε₁ + 0imε₁ + 0ε₂ + 0imε₂ + 0ε₁ε₂ + 1imε₁ε₂
h = 0 + 1im + 1ε₁ + 1imε₁ + 1ε₂ + 1imε₂ + 1ε₁ε₂ + 1imε₁ε₂
h = 1 + 1im + 0ε₁ + 1imε₁ + 0ε₂ + 0imε₂ + 1ε₁ε₂ + 1imε₁ε₂
h = 1 + 0im + 1ε₁ + 1imε₁ + 0ε₂ + 0imε₂ + 1ε₁ε₂ + 1imε₁ε₂
h = 0 + 1im + 1ε₁ + 0imε₁ + 0ε₂ + 0imε₂ + 0ε₁ε₂ + 1imε₁ε₂
h = 0 + 1im + 0ε₁ + 0imε₁ + 0ε₂ + 0imε₂ + 0ε₁ε₂ + 1imε₁ε₂
h = 1 + 1im + 1ε₁ + 0imε₁ + 1ε₂ + 0imε₂ + 1ε₁ε₂ + 1imε₁ε₂
h = 0 + 1im + 1ε₁ + 1imε₁ + 1ε₂ + 0imε₂ + 0ε₁ε₂ + 0imε₁ε₂
h = 1 + 0im + 1ε₁ + 0imε₁ + 0ε₂ + 1imε₂ + 1ε₁ε₂ + 0imε₁ε₂
Examples of show() for special printing for boolean hyperdual numbers:
h = Hyper{Bool}(true,false,false,false)
h = ɛ₁
h = ɛ₂
h = ɛ₁ε₂
h = im
h = imɛ₁
h = imɛ₂
h = imε₁ɛ₂
* test_function_list.jl *
* tests_from_DualNumbers.jl *
Test Summary: | Pass Total
HyperDualNumbers.jl | 136488 136488
Tests finished
Testing HyperDualNumbers tests passed