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From: Slaven Rezić (SREZIC)
Subject: FAIL CayleyDickson-0.01 5.28.2 GNU/Linux
Date: 2019-10-20T15:58:35Z
This distribution has been tested as part of the CPAN Testers
project, supporting the Perl programming language. See
http://wiki.cpantesters.org/ for more information or email
questions to cpan-testers-discuss@perl.org
--
Dear Jeff Anderson,
This is a computer-generated report for CayleyDickson-0.01
on perl 5.28.2, created by CPAN-Reporter-1.2018.
Thank you for uploading your work to CPAN. However, there was a problem
testing your distribution.
If you think this report is invalid, please consult the CPAN Testers Wiki
for suggestions on how to avoid getting FAIL reports for missing library
or binary dependencies, unsupported operating systems, and so on:
http://wiki.cpantesters.org/wiki/CPANAuthorNotes
Sections of this report:
* Tester comments
* Program output
* Prerequisites
* Environment and other context
------------------------------
TESTER COMMENTS
------------------------------
Additional comments from tester:
none provided
------------------------------
PROGRAM OUTPUT
------------------------------
Output from '/usr/bin/make test':
PERL_DL_NONLAZY=1 "/opt/perl-5.28.2/bin/perl" "-MExtUtils::Command::MM" "-MTest::Harness" "-e" "undef *Test::Harness::Switches; test_harness(0, 'blib/lib', 'blib/arch')" t/*.t
t/1_CayleyDickson.t .. ok
# Complex tests
# Multiplication Table tests ...
# Run 10000 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.0628571528044866+0.461315701240395i
y = 0.180026550713986+0.762090055762478i
x * y = -0.340248152075305+0.130951885570354i
y * x = -0.340248152075305+0.130951885570354i
Difference = 0
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.967930723850626+0.251217264187802i
x*(x*y) = -0.967930723850626+0.251217264187802i
(x*x)*y - x*(x*y) = 2.22044604925031e-16+5.55111512312578e-17i
Difference = 2.28878339926112e-16
Weak Identity 2:
(x*y)*y = -0.413579484202444+0.910468017146589i
x*(y*y) = -0.413579484202444+0.910468017146589i
(x*x)*y - x*(x*y) = -1.11022302462516e-16i
Difference = 1.11022302462516e-16
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = -0.919654303817474+0.392728865083783i
((z*x)*z)*y = -0.919654303817474+0.392728865083783i
x*(z*(y*z)) - ((x*z)*y)*z = 1.11022302462516e-16+5.55111512312578e-17i
Difference = 1.24126707662364e-16
Moufang condition 2:
x*(z*(y*z)) = -0.919654303817474+0.392728865083783i
((x*z)*y)*z = -0.919654303817474+0.392728865083783i
x*(z*(y*z)) - ((x*z)*y)*z = 5.55111512312578e-17i
Difference = 5.55111512312578e-17
Moufang condition 3:
(z*x)*(y*z) = -0.919654303817474+0.392728865083783i
(z*(x*y))*z = -0.919654303817474+0.392728865083783i
(z*x)*(y*z) - (z*(x*y))*z = -5.55111512312578e-17i
Difference = 5.55111512312578e-17
Moufang condition 4:
(z*x)*(y*z) = -0.919654303817474+0.392728865083783i
z*((x*y)*z) = -0.919654303817474+0.392728865083783i
(z*x)*(y*z) - z*((x*y)*z) = -5.55111512312578e-17i
Difference = 5.55111512312578e-17
# Power Associative tests ...
vector x: 0.477584940905175+0.878585581614335i
norm x: 1
vector y: 0.415763672072201+0.909472687322186i
norm y: 1
vector z: -0.600487121196195+0.799634427271304i
norm z: 1
t/2_Complex.t ........ ok
# Quaternion tests
# Multiplication Table tests ...
# Run 1000 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.375177189302892+0.122550673182957i+0.27192605747744j+0.822275369370495k
y = 0.992703646832911+0.94736094553123i+0.28823393297483j+0.579351347796823k
x * y = -0.298424618122581+0.39761778118893i+1.08607245949388j+0.811346303754053k
y * x = -0.298424618122581+0.556551652791644i-0.329910887969953j+1.25592403256639k
Difference = 1.49262124224247
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.462205513819974-0.369263991246512i-0.596111661802803j-0.542826910189436k
x*(x*y) = -0.462205513819974-0.369263991246513i-0.596111661802803j-0.542826910189436k
(x*x)*y - x*(x*y) = -5.55111512312578e-17+1.11022302462516e-16i-1.11022302462516e-16j-1.11022302462516e-16k
Difference = 2.00148302124336e-16
Weak Identity 2:
(x*y)*y = -0.606721660131555-0.146340778309847i-0.633244798196316j-0.457683547102345k
x*(y*y) = -0.606721660131555-0.146340778309848i-0.633244798196316j-0.457683547102345k
(x*x)*y - x*(x*y) = 5.55111512312578e-17i-1.11022302462516e-16k
Difference = 1.24126707662364e-16
# Moufang condition tests ...
Use of uninitialized value $z in concatenation (.) or string at t/3_Quaternion.t line 154.
(->norm - 1 < PRECISION);
Moufang condition 1:
z*(x*(z*y)) = -0.636258037876617-0.339399794893566i-0.691943625395296j+0.0346050247567727k
((z*x)*z)*y = -0.636258037876617-0.339399794893566i-0.691943625395296j+0.0346050247567727k
x*(z*(y*z)) - ((x*z)*y)*z = 1.11022302462516e-16i+1.11022302462516e-16j+4.16333634234434e-17k
Difference = 1.62435341715112e-16
Moufang condition 2:
x*(z*(y*z)) = -0.636258037876617-0.369229121580764i+0.352014544827442j-0.578732516145432k
((x*z)*y)*z = -0.636258037876617-0.369229121580764i+0.352014544827442j-0.578732516145432k
x*(z*(y*z)) - ((x*z)*y)*z = -1.11022302462516e-16+5.55111512312578e-17i+2.22044604925031e-16k
Difference = 2.5438405243138e-16
Moufang condition 3:
(z*x)*(y*z) = -0.552867686313027+0.0616456232940269i-0.54080283730661j-0.630927436176849k
(z*(x*y))*z = -0.552867686313027+0.0616456232940269i-0.540802837306609j-0.630927436176849k
(z*x)*(y*z) - (z*(x*y))*z = 1.11022302462516e-16+4.16333634234434e-17i-1.11022302462516e-16j-1.11022302462516e-16k
Difference = 1.96751599439962e-16
Moufang condition 4:
(z*x)*(y*z) = -0.552867686313027+0.0616456232940269i-0.54080283730661j-0.630927436176849k
z*((x*y)*z) = -0.552867686313027+0.0616456232940269i-0.54080283730661j-0.630927436176849k
(z*x)*(y*z) - z*((x*y)*z) = 2.77555756156289e-17i-1.11022302462516e-16k
Difference = 1.14439169963056e-16
# Power Associative tests ...
vector x: 0.612536481739896+0.425498242387232i+0.646005440192907j+0.162564680986541k
norm x: 1
vector y: 0.725776437989276+0.487340882370648i+0.436562602467327j+0.21251004813126k
norm y: 1
vector z: -0.0793665873960481+0.673643655213532i+0.725067810984258j+0.119087531127966k
norm z: 1
t/3_Quaternion.t ..... ok
# Octonion tests
# Multiplication Table tests ...
# Run 400 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.614292567401382+0.953086372694912i+0.104262036299428j+0.480837279626833k+0.502255224340178l+0.548876315282925m+0.17595305646503n+0.668201800780501o
y = 0.846715562225288+0.539276914576647i+0.70635834124958j+0.579645424428612k+0.896147389360682l+0.199972107941178m+0.816768024151482n+0.457561851126279o
x * y = -1.35551903487477+0.932877870579178i+0.599112532419303j+0.598085294468359k+1.2876049624113l+1.88586043050933m+0.687128462029061n-0.0637920786464962o
y * x = -1.35551903487477+1.34365585802326i+0.445269402851915j+0.928323272557296k+0.663923028065103l-0.710693435543769m+0.614304973285765n+1.7574994940487o
Difference = 3.27947263648965
# Associative tests ...
Associative identity 1:
(x*y)*z = -3.86183492867364-1.16136663902164i-0.90117003200994j-1.10779755845205k-0.17030997350362l-1.02728980746646m-0.246218357684374n-1.92506037332523o
x*(y*z) = -3.86183492867364-0.413900849148642i-1.32251855309113j-1.10767342224356k+0.031333140889315l-0.932099596114905m-1.34743385398652n-1.55120179968281o
(x*y)*z - x*(y*z) = 4.44089209850063e-16-0.747465789872993i+0.421348521081187j-0.000124136208493164k-0.201643114392935l-0.0951902113515573m+1.10121549630214n-0.373858573642419o
Difference = 1.46232917736012
Associative identity 1:
(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o)*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o = -1.56520221421497-1.25440903541086i-3.87620213000179j+0.82565199328496k-1.65665278456393l+0.275987681729051m-0.718258863745198n-0.293372611708326o
0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o) = -1.56520221421497-2.00187482528385i-3.45485360892061j+0.825527857076466k-1.85829589895687l+0.180797470377494m+0.382956632556945n-0.667231185350744o
(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o)*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o - 0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o) = 0.747465789872993i-0.421348521081186j+0.000124136208493386k+0.201643114392935l+0.0951902113515566m-1.10121549630214n+0.373858573642418o
Difference = 1.46232917736012
Associative identity 1:
(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o)*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o = -1.56520221421497+2.43780785807673i-1.04986370021352j-1.20248696260737k-2.23977310360078l-2.6308689966563m+0.303020275059789n-0.426432610197097o
0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o) = -1.56520221421497+1.69034206820373i-0.628515179132332j-1.20261109881586k-2.44141621799372l-2.72605920800786m+1.40423577136193n-0.800291183839516o
(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o)*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o - 0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o) = -4.44089209850063e-16+0.747465789872993i-0.421348521081187j+0.000124136208493386k+0.201643114392934l+0.0951902113515564m-1.10121549630214n+0.373858573642419o
Difference = 1.46232917736012
Associative identity 1:
(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o)*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o = -3.86183492867364-1.84666064567743i-0.86594603129753j+0.2195448031515k-1.54028919410882l-0.335152077897273m-0.626731736516415n-1.0738145590259o
0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o) = -3.86183492867364-1.09919485580444i-1.28729455237872j+0.219668939359993k-1.33864607971588l-0.239961866545716m-1.72794723281856n-0.69995598538348o
(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o)*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o - 0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o) = -4.44089209850063e-16-0.747465789872993i+0.421348521081186j-0.000124136208493275k-0.201643114392935l-0.0951902113515571m+1.10121549630214n-0.373858573642419o
Difference = 1.46232917736012
Associative identity 1:
(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o)*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o = -3.86183492867364+0.0670248363582956i+0.0463801661318176j-1.71253525458484k-1.7517673727745l-1.33904776405355m+0.377502458136218n-0.543359630646689o
0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o) = -3.86183492867364+0.814490626231289i-0.374968354949369j-1.71241111837635k-1.55012425838156l-1.24385755270199m-0.723713038165925n-0.16950105700427o
(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o)*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o - 0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*(0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o) = -0.747465789872993i+0.421348521081187j-0.000124136208493386k-0.201643114392934l-0.0951902113515566m+1.10121549630214n-0.373858573642419o
Difference = 1.46232917736012
Associative identity 1:
(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o)*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o = -1.56520221421497-1.62466066352411i+0.930686045050532j-2.07095247252215k+0.626169099820937l-0.800210687975749m-2.97501949144464n-1.7392838577381o
0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o) = -1.56520221421497-2.3721264533971i+1.35203456613172j-2.07107660873064k+0.424525985428002l-0.895400899327306m-1.87380399514249n-2.11314243138052o
(0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o)*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o - 0.349022535248057+0.147506874128965i+0.258857531218364j+0.862883787667592k+0.575353287824942l+0.835966708729487m+0.424730786203948n+0.724429093630128o*(0.620214467033012+0.170763779903069i+0.759626332243283j+0.337489221848394k+0.930341349100463l+0.580319402697498m+0.188238184529407n+0.419513197201489o*0.324068868943218+0.894114540828127i+0.773802135104841j+0.438017812397312k+0.532763886931082l+0.41469605829765m+0.733886390158997n+0.8530762509913o) = 4.44089209850063e-16+0.747465789872993i-0.421348521081186j+0.000124136208493386k+0.201643114392935l+0.0951902113515571m-1.10121549630214n+0.373858573642419o
Difference = 1.46232917736012
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.600101073361013-0.16095753081905i-0.112470450098523j-0.2500144487653k+0.0751602736657101l-0.52699336786538m-0.191449585968163n-0.467750497389188o
x*(x*y) = -0.600101073361013-0.16095753081905i-0.112470450098523j-0.2500144487653k+0.07516027366571l-0.52699336786538m-0.191449585968163n-0.467750497389188o
(x*x)*y - x*(x*y) = 1.11022302462516e-16+5.55111512312578e-17i-2.77555756156289e-17j+5.55111512312578e-17k+5.55111512312578e-17l+1.11022302462516e-16m+5.55111512312578e-17o
Difference = 1.94289029309402e-16
Weak Identity 2:
(x*y)*y = -0.568790439248614-0.0762905120126374i-0.184189886364149j+0.136694295129677k-0.345091710318977l-0.229833400322577m-0.468964651111507n-0.475611632542275o
x*(y*y) = -0.568790439248614-0.0762905120126374i-0.184189886364149j+0.136694295129677k-0.345091710318977l-0.229833400322577m-0.468964651111507n-0.475611632542275o
(x*x)*y - x*(x*y) = -2.77555756156289e-17i-5.55111512312578e-17j-5.55111512312578e-17l-1.11022302462516e-16n-1.11022302462516e-16o
Difference = 1.77722398948334e-16
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = -0.190927462885062+0.0131594304512778i-0.198438504074103j+0.0831720457680318k-0.482479871623969l-0.370281644045511m-0.520370692087459n-0.525734842470189o
((z*x)*z)*y = -0.190927462885062+0.0131594304512779i-0.198438504074103j+0.0831720457680318k-0.482479871623969l-0.370281644045511m-0.520370692087459n-0.525734842470189o
x*(z*(y*z)) - ((x*z)*y)*z = -1.66533453693773e-16-7.28583859910259e-17i-5.55111512312578e-17j-5.55111512312578e-17m-1.11022302462516e-16n
Difference = 2.2700366313016e-16
Moufang condition 2:
x*(z*(y*z)) = -0.190927462885062-0.414692358781737i-0.279865180399105j-0.501627443462399k-0.522692727928267l-0.29322189264682m+0.107430968282617n-0.301486585352067o
((x*z)*y)*z = -0.190927462885062-0.414692358781737i-0.279865180399105j-0.501627443462399k-0.522692727928267l-0.29322189264682m+0.107430968282617n-0.301486585352067o
x*(z*(y*z)) - ((x*z)*y)*z = -2.77555756156289e-17-1.11022302462516e-16i+5.55111512312578e-17j+1.11022302462516e-16k+1.11022302462516e-16m-2.77555756156289e-17n
Difference = 2.03960993326578e-16
Moufang condition 3:
(z*x)*(y*z) = -0.101344326969018-0.254596735802999i+0.355916437289223j-0.190274854860132k-0.471489022711294l-0.294869843397813m-0.207143986166662n-0.640210937658238o
(z*(x*y))*z = -0.101344326969018-0.254596735802999i+0.355916437289223j-0.190274854860131k-0.471489022711294l-0.294869843397813m-0.207143986166662n-0.640210937658238o
(z*x)*(y*z) - (z*(x*y))*z = 1.66533453693773e-16-5.55111512312578e-17i-5.55111512312578e-17j-1.11022302462516e-16k+5.55111512312578e-17l-2.77555756156289e-17n
Difference = 2.23772604565591e-16
Moufang condition 4:
(z*x)*(y*z) = -0.101344326969018-0.254596735802999i+0.355916437289223j-0.190274854860132k-0.471489022711294l-0.294869843397813m-0.207143986166662n-0.640210937658238o
z*((x*y)*z) = -0.101344326969018-0.254596735802999i+0.355916437289223j-0.190274854860131k-0.471489022711294l-0.294869843397813m-0.207143986166662n-0.640210937658238o
(z*x)*(y*z) - z*((x*y)*z) = 1.11022302462516e-16+5.55111512312578e-17i-1.11022302462516e-16k+5.55111512312578e-17l+5.55111512312578e-17m-5.55111512312578e-17n
Difference = 1.92296268638356e-16
# Power Associative tests ...
vector x: 0.270259899750545+0.278678431101055i+0.26248935436489j+0.326675023842605k+0.29957402468381l+0.505234141960853m+0.379079622544288n+0.430085098058421o
norm x: 1
vector y: 0.24463274380642+0.325005769978669i+0.236150627016587j+0.505733256646329k+0.205940943022299l+0.434715546769762m+0.249845564150141n+0.478728252851382o
norm y: 1
vector z: -0.833588069691964+0.163774799220309i+0.144954258657069j+0.290498073091387k+0.257059222615866l+0.0669199360034484m+0.250705333063258n+0.198738501156682o
norm z: 1
t/4_Octonion.t ....... ok
# Sedenion tests
# Multiplication Table tests ...
# Run 40 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.746798184757044+0.0388662195085487i+0.525087396445553j+0.402303996197425k+0.54320098807553l+0.943939656368329m+0.773409952199213n+0.154714214135275o+0.0151245207960393p+0.662799813070365q+0.774801815243489r+0.0817557876056085s+0.134078624091092t+0.780453294986401u+0.788162745010478v+0.398174061118873w
y = 0.354059574636441+0.351749997361281i+0.26971479673632j+0.699494976926765k+0.632508334068252l+0.232706819308461m+0.693533999847229n+0.320582248073173o+0.660905322759934p+0.625608219565208q+0.0221693482094274r+0.00322782099684815s+0.29680131089042t+0.541573427621373u+0.473264372094658v+0.706128908706937w
x * y = -2.88024735614576+0.021805507758562i-0.0699242758291195j+0.474269611946462k+1.00358276795091l-0.16540091182092m+0.584180841608018n-0.576648039493195o+0.753943441775194p+1.10739688605275q+0.454851295368676r+0.965018674297609s+0.516185835908018t+2.07239887883918u+0.220295141999103v+0.173872647239367w
y * x = -2.88024735614576+0.531088925570684i+0.844593757503655j+0.855372709621095k+0.325780405061066l+1.18139271873369m+0.999345420088874n+1.16502461903984o+0.243892311690831p+0.296350519197624q+0.126912764896722r-0.902304773807858s+0.0220591657319971t-0.710852850225607u+1.04468393846724v+1.16275360463628w
Difference = 4.56952399057301
# Associative tests ...
Associative identity 1:
(x*y)*z = -6.63220496023735-0.120809515761428i-3.58165567086581j+0.0313245179577251k-2.53033010074686l+3.0069578624779m+0.528984749263915n+1.80390775183851o-0.883553428625146p-2.02915655456659q+0.403868701063327r-3.40889071127043s-0.316790648015555t-1.2485077862986u-3.85888048476965v-1.06047204762254w
x*(y*z) = -6.63220496023735-1.37911061317851i-2.50075821534939j-2.35026368093704k-1.05067200766938l+1.80330446383306m+1.50175646908546n+1.09655863788831o+2.4542254279062p-2.54837366397013q-0.997546815246608r-3.46092154159703s-3.39191151375825t-1.75504509178803u-1.24185635951125v+0.0152660388176672w
(x*y)*z - x*(y*z) = 1.25830109741708i-1.08089745551642j+2.38158819889477k-1.47965809307748l+1.20365339864484m-0.972771719821546n+0.707349113950208o-3.33777885653134p+0.519217109403545q+1.40141551630993r+0.0520308303266024s+3.07512086574269t+0.506537305489432u-2.6170241252584v-1.0757380864402w
Difference = 6.67865430432151
Associative identity 1:
(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w)*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w = -3.50456181525516+0.604224785282257i-1.79859541436546j-3.06167729826164k-6.51705670755169l-3.0950528857595m+1.19969346139305n-2.07357217157627o+1.32707610179179p-0.160986982596065q-4.85388651189976r+2.02475588592553s-1.73233775871818t+0.951636044594144u-0.50421551363758v-3.53442911784073w
0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w) = -3.50456181525516+1.31819291851966i-2.11514320951341j-1.38017280954357k-7.12646468971503l-0.562702786762104m+0.0314893775869667n-3.24227693951414o-2.01070275473955p-0.344777694690081q-2.14424665239985r+1.18056267601085s+0.883864388311578t+1.37651445961688u-2.63529081847771v-3.67995758518383w
(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w)*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w - 0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w) = -0.713968133237399i+0.316547795147955j-1.68150448871807k+0.609407982163331l-2.53235009899739m+1.16820408380609n+1.16870476793787o+3.33777885653134p+0.183790712094016q-2.70963985949991r+0.844193209914685s-2.61620214702975t-0.424878415022735u+2.13107530484013v+0.1455284673431w
Difference = 6.61583025570543
Associative identity 1:
(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w)*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w = -3.50456181525516-3.27017071487056i+2.27897916281569j-3.45973144764966k+1.6716812621049l-2.49280366913891m-2.05116241372902n-3.00153058490508o-1.63342437780547p-6.2589087111692q-2.29275028414934r+0.114595464342022s-1.16125458156422t-1.7836692572612u+2.61712631023998v+0.0461086141323761w
0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w) = -3.50456181525516-1.51352243026752i+0.292044468007314j-1.26976365867884k+1.18676128459177l+0.171429939284335m-5.46365659908896n-3.29053005337666o-4.97120323433681p-5.63745099974356q-0.351952950393362r-0.65885102734392s+1.91568381840197t-2.85751336504389u+1.35876503741209v-0.160534116918956w
(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w)*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w - 0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w) = 8.88178419700125e-16-1.75664828460304i+1.98693469480838j-2.18996778897082k+0.484919977513125l-2.66423360842325m+3.41249418535995n+0.288999468471577o+3.33777885653134p-0.621457711425647q-1.94079733375598r+0.773446491685942s-3.07693839996619t+1.07384410778269u+1.25836127282789v+0.206642731051332w
Difference = 7.6831219892285
Associative identity 1:
(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w)*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w = -6.63220496023735-0.863121808625521i-1.20303206174742j+0.360547306348387k-2.83929983361441l-1.62943889781808m-1.32369365804691n-1.60819148534529o-4.7641675236348p-0.0197594903137159q-1.95165974307449r+0.716450477381406s-1.36906664905837t-0.94929427660456u-2.70691187531063v-2.93444557739864w
0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w) = -6.63220496023735-1.57708994186292i-0.886484266599463j-1.32095718236968k-2.22989185145108l-4.16178899681547m-0.155489574240823n-0.439486717407421o-1.42638866710345p+0.1640312217803q-4.6612996025744r+1.56064368729609s-3.98526879608812t-1.37417269162729u-0.575836570470492v-2.78891711005553w
(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w)*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w - 0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w) = 8.88178419700125e-16+0.713968133237399i-0.316547795147954j+1.68150448871807k-0.609407982163331l+2.53235009899739m-1.16820408380609n-1.16870476793787o-3.33777885653135p-0.183790712094016q+2.70963985949991r-0.844193209914686s+2.61620214702975t+0.424878415022735u-2.13107530484013v-0.145528467343102w
Difference = 6.61583025570544
Associative identity 1:
(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w)*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w = -6.63220496023735+0.797226857570472i-0.767445020596124j-2.42388136221156k-1.16397709429065l-0.407413651549099m-4.51562533716037n-2.59090265855655o-2.27253527916989p-3.00469764028829q+0.387702796385113r-1.72586288842433s+3.92917780227204t-2.99011636314202u+0.331502118918329v-1.44862509239577w
0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w) = -6.63220496023735-0.959421427032567i+1.21948967421225j-4.61384915118238k-0.679057116777524l-3.07164725997235m-1.10313115180042n-2.30190319008497o+1.06524357736146p-3.62615535171394q-1.55309453737086r-0.952416396738392s+0.852239402305849t-1.91627225535932u+1.58986339174622v-1.24198236134444w
(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w)*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w - 0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*(0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w) = -8.88178419700125e-16+1.75664828460304i-1.98693469480838j+2.18996778897082k-0.484919977513125l+2.66423360842325m-3.41249418535995n-0.288999468471575o-3.33777885653134p+0.621457711425648q+1.94079733375598r-0.773446491685941s+3.07693839996619t-1.0738441077827u-1.25836127282789v-0.206642731051333w
Difference = 7.68312198922851
Associative identity 1:
(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w)*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w = -3.50456181525516-2.98530483277337i-3.13392204471896j-1.98192833708446k+1.82920361384801l+0.777830312054285m+0.337854436497821n+3.37848892322639o+1.38518474224104p-0.0671167086969267q-0.785730828072273r-4.01068359548448s-4.06599330831281t-4.85734124278495u-2.46850016744081v+0.24970198637107w
0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w) = -3.50456181525516-1.72700373535629i-4.21481950023538j+0.399659861810304k+0.349545520770533l+1.98148371069913m-0.634917283323726n+4.0858380371766o-1.9525941142903p+0.452100400706618q+0.615684688237661r-3.95865276515788s-0.990872442570114t-4.35080393729551u-5.08552429269921v-0.826036100069133w
(0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w)*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w - 0.602679556642844+0.489470682023608i+0.413737511830117j+0.655056011023937k+0.221874358415125l+0.0833926641643501m+0.286736725145172n+0.0107445388334995o+0.319164190567879p+0.916136357860239q+0.316255585739764r+0.642709671015758s+0.189030068068565t+0.772831604299157u+0.424196235311395v+0.329960045833609w*(0.635126234665112+0.246790378457121i+0.436362534321244j+0.888783671106758k+0.955427534763619l+0.720818402350559m+0.8748046191815n+0.8092973620655o+0.763147723476582p+0.93929463336292q+0.999763828090789r+0.00133920399625964s+0.0909492845693087t+0.735010364072096u+0.0770886802605411v+0.857877195796839w*0.318042380797184+0.334924595489866i+0.717070447859168j+0.489081225704702k+0.752643834713258l+0.0172190169931099m+0.0264564683756383n+0.0748690249423802o+0.281594103023483p+0.330928079558873q+0.5143239740331r+0.454231678982786s+0.608549665113106t+0.549492985430859u+0.704601842427163v+0.54208785235226w) = -8.88178419700125e-16-1.25830109741708i+1.08089745551642j-2.38158819889477k+1.47965809307748l-1.20365339864484m+0.972771719821547n-0.707349113950209o+3.33777885653134p-0.519217109403545q-1.40141551630993r-0.0520308303266011s-3.07512086574269t-0.506537305489433u+2.6170241252584v+1.0757380864402w
Difference = 6.67865430432151
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.480120722303309-0.245000418416585i-0.233189404428171j-0.0492931906814873k-0.221562799849729l-0.243658468975797m-0.237256233666503n-0.414435098067427o-0.155535704430884p-0.211521683640048q-0.270726275290295r-0.135583889289922s-0.134031312947209t-0.272162640268562u-0.00780940548053435v-0.250922200154893w
x*(x*y) = -0.480120722303309-0.220871374437571i-0.190462559116044j-0.0682483087347687k-0.249424053171617l-0.227044784797965m-0.277704869321259n-0.430938302422485o-0.155535704430884p-0.177648527592029q-0.362248568175915r-0.1183524844167s-0.103111987188825t-0.283003509980755u-0.0670620006961373v-0.173463067687292w
(x*x)*y - x*(x*y) = -5.55111512312578e-17-0.0241290439790141i-0.0427268453121262j+0.0189551180532814k+0.027861253321888l-0.0166136841778311m+0.040448635654756n+0.0165032043550578o-0.0338731560480192q+0.0915222928856196r-0.0172314048732229s-0.0309193257583835t+0.0108408697121934u+0.059252595215603v-0.0774591324676008w
Difference = 0.161656304877079
Weak Identity 2:
(x*y)*y = -0.344878656964083-0.200321990201467i-0.225537615071642j-0.0989130785859866k-0.298276908498519l-0.0493978646571873m+0.0209344291599614n-0.144962308164952o-0.413856204913807p-0.0669423360461102q-0.396102692262296r-0.386170609185326s-0.171447474187649t-0.137486455678952u+0.0199914732855884v-0.400815383956209w
x*(y*y) = -0.344878656964083-0.0896356423998764i-0.234754784645759j-0.0654189250360471k-0.303290852445621l-0.0894541659548716m-0.0454844552991307n-0.168724062631079o-0.413856204913807p-0.06595059980013q-0.416398895496985r-0.406927953230042s-0.174188226433164t-0.113066043789193u-0.0337134095542792v-0.352468060473943w
(x*x)*y - x*(x*y) = -5.55111512312578e-17-0.11068634780159i+0.00921716957411708j-0.0334941535499395k+0.0050139439471017l+0.0400563012976843m+0.0664188844590921n+0.0237617544661275o+5.55111512312578e-17p-0.000991736245980146q+0.0202962032346891r+0.0207573440447159s+0.00274075224551451t-0.0244204118897589u+0.0537048828398675v-0.0483473234822652w
Difference = 0.163503367944178
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = 0.135004768816307+0.0898981932827094i+0.101541513428107j-0.1016977356819k-0.122763861511276l-0.0920435230962922m-0.195031592710893n+0.248639639149597o-0.143647924423577p-0.502741095648192q-0.217358857274473r-0.0539418044767953s-0.135442303116187t-0.59773582564935u-0.123470294783109v-0.157379882907797w
((z*x)*z)*y = 0.135004768816307+0.221517297275224i+0.427154338599609j+0.0194022928064143k-0.2575388328232l-0.296533784198206m-0.0905861780586518n+0.11750036317701o-0.143647924423577p-0.489904074314394q-0.198445934311065r-0.115398985718425s-0.00725306889104296t-0.591013997835885u-0.19974291177432v-0.14816916187052w
x*(z*(y*z)) - ((x*z)*y)*z = 8.32667268468867e-17-0.131619103992515i-0.325612825171503j-0.121100028488315k+0.134774971311924l+0.204490261101914m-0.104445414652241n+0.131139275972586o-0.012837021333798q-0.0189129229634083r+0.0614571812416298s-0.128189234225144t-0.00672182781346509u+0.0762726169912109v-0.00921072103727719w
Difference = 0.502771236843348
Moufang condition 2:
x*(z*(y*z)) = 0.135004768816307-0.216144013908106i-0.277471412214251j-0.0537686163329771k+0.0558551942672555l-0.192792785164462m-0.0587410593043808n-0.169466678105319o-0.281641410731563p+0.122575148047483q-0.28841853748892r-0.0119384950419165s-0.368452191598326t+0.257262966746104u-0.230673105745302v-0.570783154490252w
((x*z)*y)*z = 0.135004768816307-0.237409919758442i-0.391747162780928j+0.00919288096942929k+0.0517264066449261l-0.292106913414186m+0.0273581523117196n-0.12175803515814o-0.281641410731563p+0.0706777978435997q-0.250071612403651r-0.0638209490678494s-0.366230063401658t+0.353570916623068u-0.221813233480402v-0.522362659804371w
x*(z*(y*z)) - ((x*z)*y)*z = 1.38777878078145e-16+0.0212659058503358i+0.114275750566676j-0.0629614973024064k+0.00412878762232941l+0.0993141282497235m-0.0860992116161004n-0.0477086429471796o-5.55111512312578e-17p+0.0518973502038837q-0.0383469250852685r+0.0518824540259329s-0.00222212819666784t-0.0963079498769638u-0.00885987226490079v-0.0484204946858806w
Difference = 0.235804324037149
Moufang condition 3:
(z*x)*(y*z) = 0.554670400939464-0.0637052619817493i+0.24693609262784j+0.113433084303837k+0.0719729099572521l-0.00844151137307676m-0.217893002603392n+0.201424711128707o-0.15121426274826p+0.182598348480812q-0.202384392154963r-0.142602729047977s-0.218086014360065t-0.517383548084164u-0.251166827246592v-0.245617942632235w
(z*(x*y))*z = 0.557551772111598-0.0315556563693352i+0.372198975853846j-0.0324051211401876k+0.059256182040756l-0.0633386540521146m-0.235072336784445n+0.116458197593893o-0.109904180782545p+0.152002538986193q-0.284222337493882r-0.199020119404899s-0.044168088129252t-0.427964071137746u-0.309977103834752v-0.202533406771229w
(z*x)*(y*z) - (z*(x*y))*z = -0.00288137117213394-0.0321496056124141i-0.125262883226006j+0.145838205444025k+0.0127167279164961l+0.0548971426790379m+0.0171793341810529n+0.0849665135348144o-0.0413100819657153p+0.0305958094946194q+0.0818379453389182r+0.0564173903569221s-0.173917926230813t-0.0894194769464176u+0.0588102765881601v-0.0430845358610064w
Difference = 0.323685854429322
Moufang condition 4:
(z*x)*(y*z) = 0.554670400939464-0.0637052619817493i+0.24693609262784j+0.113433084303837k+0.0719729099572521l-0.00844151137307676m-0.217893002603392n+0.201424711128707o-0.15121426274826p+0.182598348480812q-0.202384392154963r-0.142602729047977s-0.218086014360065t-0.517383548084164u-0.251166827246592v-0.245617942632235w
z*((x*y)*z) = 0.557551772111598-0.0315556563693352i+0.372198975853846j-0.0324051211401876k+0.0592561820407559l-0.0633386540521147m-0.235072336784445n+0.116458197593893o-0.109904180782545p+0.152002538986193q-0.284222337493882r-0.199020119404899s-0.044168088129252t-0.427964071137746u-0.309977103834752v-0.202533406771229w
(z*x)*(y*z) - z*((x*y)*z) = -0.00288137117213394-0.0321496056124141i-0.125262883226006j+0.145838205444025k+0.0127167279164962l+0.0548971426790379m+0.0171793341810529n+0.0849665135348144o-0.0413100819657153p+0.0305958094946193q+0.0818379453389182r+0.0564173903569221s-0.173917926230813t-0.0894194769464175u+0.0588102765881601v-0.0430845358610064w
Difference = 0.323685854429322
# Power Associative tests ...
Failed z precision 1.111766
vector x: 0.333241205210628+0.0543879052741681i+0.356668222711633j+0.13488642285394k+0.242449667434939l+0.122565830615719m+0.213732133986456n+0.0856400928623434o+0.391755024296932p+0.218419312897112q+0.311572498711738r+0.0356062750199785s+0.201589853751929t+0.238837663784539u+0.223456312156549v+0.408199664093865w
norm x: 1
vector y: 0.0410881390329423+0.240571677341337i+0.363206727946707j+0.287142517782169k+0.300581848793192l+0.234183321501556m+0.348894856953499n+0.369070983765934o+0.104835851566654p+0.0678588421169276q+0.184263249796822r+0.0616914349220705s+0.134903875044699t+0.278880949527453u+0.193047964961814v+0.369241762406508w
norm y: 1
vector z: -0.778588305271863+0.0774929978394238i+0.265507873873538j+0.0719620762928074k+0.138234394152749l+0.0414250994675926m+0.136833408922875n+0.262497092361487o+0.354606361873252p-0.154697633665567q-0.0174021653293639r-0.101140075404392s-0.0410868848953344t+0.137348802236607u-0.091505052511884v+0.00349700304023143w
norm z: 0.992712539674605
# Failed test 'norm z is 1'
# at t/5_Sedenion.t line 404.
# Looks like you failed 1 test of 80.
t/5_Sedenion.t .......
Dubious, test returned 1 (wstat 256, 0x100)
Failed 1/80 subtests
Test Summary Report
-------------------
t/5_Sedenion.t (Wstat: 256 Tests: 80 Failed: 1)
Failed test: 80
Non-zero exit status: 1
Files=5, Tests=177, 10 wallclock secs ( 0.03 usr 0.04 sys + 9.41 cusr 0.05 csys = 9.53 CPU)
Result: FAIL
Failed 1/5 test programs. 1/177 subtests failed.
Makefile:845: recipe for target 'test_dynamic' failed
make: *** [test_dynamic] Error 1
------------------------------
PREREQUISITES
------------------------------
Prerequisite modules loaded:
requires:
Module Need Have
------------------- ---- -----
Data::Dumper 0 2.170
overload 0 1.30
build_requires:
Module Need Have
------------------- ---- -----
ExtUtils::MakeMaker 0 7.38
------------------------------
ENVIRONMENT AND OTHER CONTEXT
------------------------------
Environment variables:
LANG = C
PATH = /usr/local/bin:/usr/bin:/bin:/usr/local/sbin:/usr/sbin:/sbin:/home/cpansand/bin/linux-gnu:/home/cpansand/bin/sh:/home/cpansand/bin:/usr/games:/home/cpansand/devel:/home/eserte/src/srezic-misc/scripts
PERL5LIB =
PERL5OPT =
PERL5_CPANPLUS_IS_RUNNING = 9578
PERL5_CPAN_IS_RUNNING = 9578
PERL5_CPAN_IS_RUNNING_IN_RECURSION = 9361,9578
PERLDOC = -MPod::Perldoc::ToTextOverstrike
PERL_BATCH = yes
PERL_CANARY_STABILITY_NOPROMPT = 1
PERL_CPAN_REPORTER_CONFIG = /var/tmp/cpansmoker-1023/2019101807/cpanreporter_000_config.ini
PERL_EXTUTILS_AUTOINSTALL = --defaultdeps
PERL_USE_UNSAFE_INC = 1
SHELL = /usr/bin/zsh
TERM = screen
TMPDIR = /var/tmp/cpansmoker-1023/2019101807
Perl special variables (and OS-specific diagnostics, for MSWin32):
$^X = /opt/perl-5.28.2/bin/perl
$UID/$EUID = 1023 / 1023
$GID = 1023 1023
$EGID = 1023 1023
Perl module toolchain versions installed:
Module Have
------------------- --------
CPAN 2.20
CPAN::Meta 2.150010
Cwd 3.75
ExtUtils::CBuilder 0.280231
ExtUtils::Command 7.38
ExtUtils::Install 2.14
ExtUtils::MakeMaker 7.38
ExtUtils::Manifest 1.70
ExtUtils::ParseXS 3.39
File::Spec 3.75
JSON 4.02
JSON::PP 2.97001
Module::Build 0.4229
Module::Signature 0.83
Parse::CPAN::Meta 2.150010
Test::Harness 3.42
Test::More 1.302168
YAML 1.29
YAML::Syck 1.31
version 0.9923
--
Summary of my perl5 (revision 5 version 28 subversion 2) configuration:
Platform:
osname=linux
osvers=4.9.0-9-amd64
archname=x86_64-linux
uname='linux debian9 4.9.0-9-amd64 #1 smp debian 4.9.168-1+deb9u4 (2019-07-19) x86_64 gnulinux '
config_args='-ds -e -Dprefix=/opt/perl-5.28.2 -Dcf_email=srezic@cpan.org'
hint=recommended
useposix=true
d_sigaction=define
useithreads=undef
usemultiplicity=undef
use64bitint=define
use64bitall=define
uselongdouble=undef
usemymalloc=n
default_inc_excludes_dot=define
bincompat5005=undef
Compiler:
cc='cc'
ccflags ='-fwrapv -fno-strict-aliasing -pipe -fstack-protector-strong -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -D_FORTIFY_SOURCE=2'
optimize='-O2'
cppflags='-fwrapv -fno-strict-aliasing -pipe -fstack-protector-strong -I/usr/local/include'
ccversion=''
gccversion='6.3.0 20170516'
gccosandvers=''
intsize=4
longsize=8
ptrsize=8
doublesize=8
byteorder=12345678
doublekind=3
d_longlong=define
longlongsize=8
d_longdbl=define
longdblsize=16
longdblkind=3
ivtype='long'
ivsize=8
nvtype='double'
nvsize=8
Off_t='off_t'
lseeksize=8
alignbytes=8
prototype=define
Linker and Libraries:
ld='cc'
ldflags =' -fstack-protector-strong -L/usr/local/lib'
libpth=/usr/local/lib /usr/lib/gcc/x86_64-linux-gnu/6/include-fixed /usr/include/x86_64-linux-gnu /usr/lib /lib/x86_64-linux-gnu /lib/../lib /usr/lib/x86_64-linux-gnu /usr/lib/../lib /lib
libs=-lpthread -lnsl -ldl -lm -lcrypt -lutil -lc
perllibs=-lpthread -lnsl -ldl -lm -lcrypt -lutil -lc
libc=libc-2.24.so
so=so
useshrplib=false
libperl=libperl.a
gnulibc_version='2.24'
Dynamic Linking:
dlsrc=dl_dlopen.xs
dlext=so
d_dlsymun=undef
ccdlflags='-Wl,-E'
cccdlflags='-fPIC'
lddlflags='-shared -O2 -L/usr/local/lib -fstack-protector-strong'
Characteristics of this binary (from libperl):
Compile-time options:
HAS_TIMES
PERLIO_LAYERS
PERL_COPY_ON_WRITE
PERL_DONT_CREATE_GVSV
PERL_MALLOC_WRAP
PERL_OP_PARENT
PERL_PRESERVE_IVUV
USE_64_BIT_ALL
USE_64_BIT_INT
USE_LARGE_FILES
USE_LOCALE
USE_LOCALE_COLLATE
USE_LOCALE_CTYPE
USE_LOCALE_NUMERIC
USE_LOCALE_TIME
USE_PERLIO
USE_PERL_ATOF
Built under linux
Compiled at Aug 6 2019 09:45:11
%ENV:
PERL5LIB=""
PERL5OPT=""
PERL5_CPANPLUS_IS_RUNNING="9578"
PERL5_CPAN_IS_RUNNING="9578"
PERL5_CPAN_IS_RUNNING_IN_RECURSION="9361,9578"
PERLDOC="-MPod::Perldoc::ToTextOverstrike"
PERL_BATCH="yes"
PERL_CANARY_STABILITY_NOPROMPT="1"
PERL_CPAN_REPORTER_CONFIG="/var/tmp/cpansmoker-1023/2019101807/cpanreporter_000_config.ini"
PERL_EXTUTILS_AUTOINSTALL="--defaultdeps"
PERL_USE_UNSAFE_INC="1"
@INC:
/opt/perl-5.28.2/lib/site_perl/5.28.2/x86_64-linux
/opt/perl-5.28.2/lib/site_perl/5.28.2
/opt/perl-5.28.2/lib/5.28.2/x86_64-linux
/opt/perl-5.28.2/lib/5.28.2
.