CayleyDickson v0.01 Perl 5 v5.24.4 x86_64-linux
- Status
- Pass
- From
- Andreas J. König (ANDK)
- Dist
-
CayleyDickson v0.01
- Platform
- Perl 5 v5.24.4 x86_64-linux
- Date
- 2019-10-21 22:30:37
- ID
- 6768c1be-f452-11e9-84f2-984e34af9b2c
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 5.24.4, created by CPAN-Reporter-1.2018.
Thank you for uploading your work to CPAN. Congratulations!
All tests were successful.
Sections of this report:
* Tester comments
* Program output
* Prerequisites
* Environment and other context
------------------------------
TESTER COMMENTS
------------------------------
Additional comments from tester:
this report is from an automated smoke testing program
and was not reviewed by a human for accuracy
------------------------------
PROGRAM OUTPUT
------------------------------
Output from '/usr/bin/make test':
PERL_DL_NONLAZY=1 "/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/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 = 0.625403515439235+0.15433104521567i
y = 0.523309534817994+0.285677062372365i
x * y = 0.283190783107975+0.259426346567818i
y * x = 0.283190783107975+0.259426346567818i
Difference = 0
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = 0.223575417022065+0.974686633181871i
x*(x*y) = 0.223575417022065+0.974686633181871i
(x*x)*y - x*(x*y) = 0
Difference = 0
Weak Identity 2:
(x*y)*y = -0.806467606521738+0.591278275967501i
x*(y*y) = -0.806467606521738+0.591278275967501i
(x*x)*y - x*(x*y) = -1.11022302462516e-16i
Difference = 1.11022302462516e-16
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = 0.486655313232052+0.873594073985746i
((z*x)*z)*y = 0.486655313232052+0.873594073985746i
x*(z*(y*z)) - ((x*z)*y)*z = -2.22044604925031e-16
Difference = 2.22044604925031e-16
Moufang condition 2:
x*(z*(y*z)) = 0.486655313232052+0.873594073985746i
((x*z)*y)*z = 0.486655313232052+0.873594073985746i
x*(z*(y*z)) - ((x*z)*y)*z = 0
Difference = 0
Moufang condition 3:
(z*x)*(y*z) = 0.486655313232052+0.873594073985746i
(z*(x*y))*z = 0.486655313232052+0.873594073985746i
(z*x)*(y*z) - (z*(x*y))*z = 0
Difference = 0
Moufang condition 4:
(z*x)*(y*z) = 0.486655313232052+0.873594073985746i
z*((x*y)*z) = 0.486655313232052+0.873594073985746i
(z*x)*(y*z) - z*((x*y)*z) = 0
Difference = 0
# Power Associative tests ...
vector x: 0.857869799083087+0.51386711105221i
norm x: 1
vector y: 0.648910441021681+0.760864797144044i
norm y: 1
vector z: 0.165697274452451+0.986176664314781i
norm z: 1
t/2_Complex.t ........ ok
# Quaternion tests
# Multiplication Table tests ...
# Run 1000 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.224141241577716+0.21918265647804i+0.366594119881238j+0.342604600766812k
y = 0.857308702954857+0.214606366717319i+0.753677247959271j+0.721992558725383k
x * y = -0.378531376187381+0.24247427040451i+0.398491365145125j+0.542065763639466k
y * x = -0.378531376187381+0.229544402439271i+0.567937601920332j+0.369026665225216k
Difference = 0.242531932377769
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = 0.178059121512611+0.797478241631145i+0.568407645208584j-0.0961049022656287k
x*(x*y) = 0.178059121512611+0.797478241631145i+0.568407645208584j-0.0961049022656286k
(x*x)*y - x*(x*y) = 2.77555756156289e-17-1.11022302462516e-16i-2.77555756156289e-17k
Difference = 1.17756934401283e-16
Weak Identity 2:
(x*y)*y = -0.304417137363556+0.91744185031122i+0.231330149801837j-0.110077334495171k
x*(y*y) = -0.304417137363556+0.91744185031122i+0.231330149801837j-0.110077334495171k
(x*x)*y - x*(x*y) = -1.11022302462516e-16+1.11022302462516e-16i+8.32667268468867e-17k
Difference = 1.77722398948334e-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)) = -0.673389959143398-0.424760304793004i-0.0807661657594242j-0.599667802091733k
((z*x)*z)*y = -0.673389959143398-0.424760304793004i-0.0807661657594241j-0.599667802091733k
x*(z*(y*z)) - ((x*z)*y)*z = -5.55111512312578e-17i-1.11022302462516e-16j+1.11022302462516e-16k
Difference = 1.66533453693774e-16
Moufang condition 2:
x*(z*(y*z)) = -0.673389959143398-0.457109883335623i-0.388942110610276j-0.431648644241785k
((x*z)*y)*z = -0.673389959143398-0.457109883335623i-0.388942110610276j-0.431648644241785k
x*(z*(y*z)) - ((x*z)*y)*z = 1.11022302462516e-16+1.11022302462516e-16i+5.55111512312578e-17k
Difference = 1.66533453693774e-16
Moufang condition 3:
(z*x)*(y*z) = -0.588652429428026-0.197363564634862i+0.0643741387333915j-0.781275822578325k
(z*(x*y))*z = -0.588652429428026-0.197363564634862i+0.0643741387333916j-0.781275822578325k
(z*x)*(y*z) - (z*(x*y))*z = 1.11022302462516e-16-1.11022302462516e-16i-1.11022302462516e-16j
Difference = 1.92296268638356e-16
Moufang condition 4:
(z*x)*(y*z) = -0.588652429428026-0.197363564634862i+0.0643741387333915j-0.781275822578325k
z*((x*y)*z) = -0.588652429428026-0.197363564634862i+0.0643741387333917j-0.781275822578325k
(z*x)*(y*z) - z*((x*y)*z) = 2.22044604925031e-16-5.55111512312578e-17i-2.22044604925031e-16j-2.22044604925031e-16k
Difference = 3.88578058618805e-16
# Power Associative tests ...
vector x: 0.40056826228305+0.597877544055772i+0.466520129542462j+0.514243598207173k
norm x: 1
vector y: 0.0593771923121724+0.480374403448396i+0.585634278715046j+0.650190182284098k
norm y: 1
vector z: -0.870986768244652+0.230091159293636i+0.120582513170351j+0.417013147844489k
norm z: 1
t/3_Quaternion.t ..... ok
# Octonion tests
# Multiplication Table tests ...
# Run 400 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.137863949445265+0.88050045072751i+0.969358464498168j+0.451952892750235k+0.707380905231975l+0.144739195399254m+0.0160684143538923n+0.0319374670462125o
y = 0.922601367293826+0.00664391894696337i+0.880017130152265j+0.103434727573052k+0.43558934626633l+0.374343894123925m+0.250383958953702n+0.375657184395145o
x * y = -1.15678681597936+0.719523203038253i+1.14011682029352j+1.42124325633917k-0.0110129121104223l+0.339440710729131m+0.0254179518630744n+0.220097267291477o
y * x = -1.15678681597936+0.907010550261453i+0.891191343478748j-0.558778702625602k+1.43637822806467l+0.0308495038128766m+0.0732693731614119n-0.057586999605597o
Difference = 2.50742304220982
# Associative tests ...
Associative identity 1:
(x*y)*z = -2.78429197912342-0.352999396195407i-3.2702547006421j-0.901821115244711k-1.03369516009659l-2.51780675942049m+1.32051635553208n+0.638648129751281o
x*(y*z) = -2.78429197912342-0.227327822579496i-3.18240797635228j-1.25629955385209k-1.42797091899209l-2.24738799197016m+0.949420296211603n+1.20126078711691o
(x*y)*z - x*(y*z) = -0.125671573615911i-0.0878467242898107j+0.354478438607381k+0.394275758895505l-0.270418767450326m+0.371096059320478n-0.562612657365626o
Difference = 0.91213503722544
Associative identity 1:
(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o)*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o = -4.58320015215168-1.53450073541109i-0.31088479805947j+0.0316415081587388k+0.161466419416164l+1.42747611056432m-1.75642761070867n-0.580848416970665o
0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o) = -4.58320015215168-1.660172309027i-0.39873152234928j+0.38611994676612k+0.555742178311669l+1.157057343114m-1.38533155138819n-1.14346107433629o
(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o)*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o - 0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o) = 0.125671573615911i+0.0878467242898104j-0.354478438607381k-0.394275758895505l+0.270418767450326m-0.371096059320478n+0.562612657365625o
Difference = 0.912135037225439
Associative identity 1:
(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o)*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o = -4.58320015215168-0.690537706900734i-1.77103411069304j-0.538061193176947k-1.60151789438388l-0.692510696484594m-0.849727904439708n-0.518790130798933o
0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o) = -4.58320015215168-0.816209280516645i-1.85888083498285j-0.183582754569566k-1.20724213548837l-0.96292946393492m-0.478631845119231n-1.08140278816456o
(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o)*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o - 0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o) = -8.88178419700125e-16+0.125671573615911i+0.0878467242898098j-0.354478438607381k-0.394275758895505l+0.270418767450326m-0.371096059320478n+0.562612657365625o
Difference = 0.91213503722544
Associative identity 1:
(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o)*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o = -2.78429197912342-1.53047043120586i+0.0147390646588531j+0.942562452460114k+1.2462108462791l+1.95815057920248m-3.01670815790982n-1.8636155487428o
0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o) = -2.78429197912342-1.40479885758995i+0.102585788948664j+0.588084013852733k+0.851935087383595l+2.22856934665281m-3.3878042172303n-1.30100289137718o
(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o)*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o - 0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o) = 8.88178419700125e-16-0.12567157361591i-0.0878467242898107j+0.354478438607381k+0.394275758895504l-0.270418767450326m+0.371096059320478n-0.562612657365625o
Difference = 0.912135037225439
Associative identity 1:
(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o)*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o = -2.78429197912342-1.1737124510188i+1.04273193821592j-2.11057607579671k-2.03106641088707l-1.6112020648946m-0.186306339378749n-2.74164768880246o
0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o) = -2.78429197912342-1.04804087740289i+1.13057866250573j-2.46505451440409k-2.42534216978258l-1.34078329744428m-0.557402398699227n-2.17903503143683o
(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o)*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o - 0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*(0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o) = -8.88178419700125e-16-0.125671573615911i-0.0878467242898098j+0.354478438607381k+0.394275758895505l-0.270418767450326m+0.371096059320478n-0.562612657365626o
Difference = 0.91213503722544
Associative identity 1:
(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o)*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o = -4.58320015215168-0.195867041482068i-0.83246518757425j-1.54690311928583k-1.14222387741125l-1.83866060330077m-0.30933481807898n-0.182257122810987o
0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o) = -4.58320015215168-0.321538615097979i-0.92031191186406j-1.19242468067845k-0.747948118515749l-2.1090793707511m+0.061761241241497n-0.744869780176613o
(0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o)*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o - 0.629998028617681+0.494247071286452i+0.746535642516374j+0.666231868621175k+0.726289428270935l+0.784481356278505m+0.240345856023563n+0.483249968013801o*(0.758814349633841+0.858147211611509i+0.425676744702582j+0.376932381091486k+0.427835084382213l+0.0190926917875203m+0.939218491644649n+0.889488778361304o*0.292818498975326+0.782996071208004i+0.89830445192062j+0.39176893101817k+0.288957732231086l+0.281056089133145m+0.780034895919353n+0.513593583833874o) = 8.88178419700125e-16+0.125671573615911i+0.0878467242898103j-0.354478438607381k-0.394275758895504l+0.270418767450326m-0.371096059320477n+0.562612657365626o
Difference = 0.91213503722544
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.787222153490583-0.160731616077597i-0.40926128685736j-0.0887936538337998k+0.211622411885763l-0.18092125077128m-0.303871213617997n-0.0959857078255264o
x*(x*y) = -0.787222153490583-0.160731616077597i-0.40926128685736j-0.0887936538337998k+0.211622411885763l-0.180921250771279m-0.303871213617997n-0.0959857078255265o
(x*x)*y - x*(x*y) = 2.77555756156289e-17i+5.55111512312578e-17j-4.16333634234434e-17k-1.11022302462516e-16m+5.55111512312578e-17n+1.38777878078145e-17o
Difference = 1.45551466458637e-16
Weak Identity 2:
(x*y)*y = -0.784761418751522+0.00437283725838461i+0.062451053402475j+0.241112346559433k+0.0777324915264435l-0.0252585262881641m-0.524440333564069n-0.200940536828645o
x*(y*y) = -0.784761418751522+0.00437283725838453i+0.0624510534024749j+0.241112346559433k+0.0777324915264435l-0.0252585262881642m-0.524440333564069n-0.200940536828645o
(x*x)*y - x*(x*y) = 8.32667268468867e-17i+1.38777878078145e-16j-2.77555756156289e-17k+5.55111512312578e-17m-1.11022302462516e-16n-2.77555756156289e-17o
Difference = 2.07703709052761e-16
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = 0.655476982809735-0.348706424452883i-0.289883109717967j+0.122587187259902k+0.0525130930291383l-0.0154770504306623m-0.333860717572036n-0.485009047343083o
((z*x)*z)*y = 0.655476982809735-0.348706424452883i-0.289883109717967j+0.122587187259902k+0.0525130930291382l-0.0154770504306624m-0.333860717572036n-0.485009047343083o
x*(z*(y*z)) - ((x*z)*y)*z = 5.55111512312578e-17i+1.11022302462516e-16l+1.11022302462516e-16m-5.55111512312578e-17n+1.11022302462516e-16o
Difference = 2.07703709052761e-16
Moufang condition 2:
x*(z*(y*z)) = 0.655476982809735-0.320788796875974i-0.425464119693161j-0.262929719028423k-0.398313821305666l-0.0662618790045656m-0.169938239365033n-0.159277043104285o
((x*z)*y)*z = 0.655476982809735-0.320788796875974i-0.425464119693161j-0.262929719028423k-0.398313821305666l-0.0662618790045656m-0.169938239365033n-0.159277043104285o
x*(z*(y*z)) - ((x*z)*y)*z = -1.11022302462516e-16+5.55111512312578e-17j+5.55111512312578e-17k+1.38777878078145e-17m
Difference = 1.36680358722664e-16
Moufang condition 3:
(z*x)*(y*z) = 0.659555025142355-0.363544022206652i-0.325781689625489j+0.0921308081031653k+0.252406726135501l+0.0390021705148107m-0.395993392715856n-0.310096800777393o
(z*(x*y))*z = 0.659555025142355-0.363544022206652i-0.325781689625489j+0.0921308081031653k+0.252406726135501l+0.0390021705148107m-0.395993392715856n-0.310096800777393o
(z*x)*(y*z) - (z*(x*y))*z = 5.55111512312578e-17j+2.08166817117217e-17m+1.11022302462516e-16n+5.55111512312578e-17o
Difference = 1.37558212054405e-16
Moufang condition 4:
(z*x)*(y*z) = 0.659555025142355-0.363544022206652i-0.325781689625489j+0.0921308081031653k+0.252406726135501l+0.0390021705148107m-0.395993392715856n-0.310096800777393o
z*((x*y)*z) = 0.659555025142355-0.363544022206652i-0.325781689625489j+0.0921308081031653k+0.252406726135501l+0.0390021705148107m-0.395993392715856n-0.310096800777393o
(z*x)*(y*z) - z*((x*y)*z) = 1.11022302462516e-16j-6.93889390390723e-17k+2.77555756156289e-17m+1.11022302462516e-16o
Difference = 1.7388818282701e-16
# Power Associative tests ...
vector x: 0.376003697961567+0.409947468104196i+0.462381261248926j+0.249064554456373k+0.366496252342943l+0.24914628736516m+0.419002632534334n+0.206828740540378o
norm x: 1
vector y: 0.381550540412652+0.4078072030077i+0.228216424126079j+0.224029208553032k+0.19398249093735l+0.547484363177125m+0.497364300452118n+0.0331823097766126o
norm y: 1
vector z: -0.60779340821398+0.597785686987154i+0.267996877788814j+0.161781821001729k-0.00633870904596612l+0.292846692225519m+0.201648752019564n+0.220866877740637o
norm z: 1
t/4_Octonion.t ....... ok
# Sedenion tests
# Multiplication Table tests ...
# Run 40 test loops on ...
# Commutative product tests ...
Commutative:
x = 0.466941681048755+0.486828248647129i+0.718735482607837j+0.695232744263031k+0.544549829312434l+0.131768094957678m+0.683989817299075n+0.402561648501397o+0.63185173067885p+0.857364742535196q+0.848421621684036r+0.868288905132751s+0.119437006899137t+0.0958013485702764u+0.318545897199211v+0.0326704558965432w
y = 0.355921876360473+0.387669423603171i+0.712729360030448j+0.992637005312538k+0.414268731668262l+0.832677311144309m+0.369661572623979n+0.520751584356752o+0.181023491547965p+0.101791759054493q+0.101444637061359r+0.397106653689129s+0.572770320038376t+0.27700239629867u+0.449716720149976v+0.450014027454067w
x * y = -2.90812948708361+0.574421186817017i+0.28352448929997j+1.42986577582318k+1.5873613936791l-0.289767796739451m-0.452330890334517n+0.680050735846785o+1.13668943960862p-0.0969044345330579q+0.930322485566296r-0.688446682077431s+1.8581586964816t-0.215799574056695u-0.252908262816792v-0.938668623724695w
y * x = -2.90812948708361+0.134162485327453i+0.893708964864134j-0.00796150626882565k-0.812848323695554l+1.16118957881678m+1.28444556098394n+0.0928314991406684o-0.517854905573518p+0.802275800489568q-0.231641395771518r+1.67738401161158s-1.23823753708966t+0.542683094703157u+0.899646132298063v+1.38218549660304w
Difference = 6.4212203724873
# Associative tests ...
Associative identity 1:
(x*y)*z = -6.26346300393984-3.78247702217445i-4.76846517051749j-0.10225587182363k-1.35073376843552l-2.35743597540703m-1.20877664225911n-2.11787287894105o-3.34797110335836p-1.15861199113372q-2.16789115311076r-4.55864701761025s-2.21998053697155t-2.08909552281384u-1.07223282960261v+1.19297000315606w
x*(y*z) = -6.26346300393984-1.77665586992307i-3.78199806337297j-0.338041487106619k+1.58682260286401l-0.552179634633609m-3.52768709589964n-2.60493348843519o-2.09886606981387p-0.523813739723686q-5.8324465793047r-4.72130496286732s-4.99876489662064t+0.0311816934087019u-1.71188978912593v+0.899859546660504w
(x*y)*z - x*(y*z) = -8.88178419700125e-16-2.00582115225139i-0.986467107144516j+0.235785615282989k-2.93755637129953l-1.80525634077342m+2.31891045364053n+0.487060609494144o-1.24910503354449p-0.634798251410038q+3.66455542619395r+0.16265794525707s+2.77878435964909t-2.12027721622255u+0.639656959523319v+0.29311045649556w
Difference = 7.11939192380356
Associative identity 1:
(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w)*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w = -6.56589599108882+1.27344812314065i-0.615286323823116j-3.48081844166159k-5.19143255192945l-1.20668239666963m-1.93080818416841n-1.10188600034777o-0.958027842439756p-3.07840978445012q-1.66390254481223r-2.70104278015292s-0.837999048616379t+1.07135731226025u-7.53019061492161v-2.05035033393493w
0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w) = -6.56589599108882-2.77223912095245i-0.0918009577365613j-1.57103506445887k-5.96559184611908l-0.446635242380137m-3.46771505558219n-1.2590112086841o-2.20713287598425p-3.19888527745574q-0.455496616466665r-3.57495926669246s+0.649542882587575t-0.134212224650497u-5.64327141950761v-0.864127419511821w
(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w)*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w - 0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w) = 8.88178419700125e-16+4.0456872440931i-0.523485366086555j-1.90978337720271k+0.774159294189626l-0.760047154289491m+1.53690687141378n+0.157125208336331o+1.24910503354449p+0.120475493005624q-1.20840592834556r+0.873916486539538s-1.48754193120395t+1.20556953691075u-1.886919195414v-1.18622291442311w
Difference = 6.02371816288498
Associative identity 1:
(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w)*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w = -6.56589599108882-1.28229409099696i+2.04800147983597j-3.65236071735845k+3.11935990679943l-2.87857344318208m-3.52159618101729n+0.233674820826246o+0.849382903456508p+1.34486142361706q-1.84457064581522r-1.19877704890945s-4.30185671143838t-2.31988901573628u+0.274542643853842v-6.0147976268185w
0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w) = -6.56589599108882-3.2446829641937i+1.27888150098575j-1.28779231407792k+2.32593574157909l-6.22154221044821m-3.65712348769149n-0.17478858420295o-0.399722130087984p+0.263074294394249q+0.365127280209071r+0.338426999880742s-3.22407368527941t-3.48726973179531u+1.11775162150351v-5.92076573253123w
(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w)*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w - 0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w) = -8.88178419700125e-16+1.96238887319674i+0.769119978850217j-2.36456840328052k+0.79342416522034l+3.34296876726612m+0.135527306674205n+0.408463405029196o+1.24910503354449p+1.08178712922281q-2.2096979260243r-1.53720404879019s-1.07778302615897t+1.16738071605903u-0.843208977649666v-0.0940318942872764w
Difference = 5.93669915094127
Associative identity 1:
(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w)*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w = -6.26346300393984-5.29476200913108i+3.14565464775272j-0.575048413470392k-6.67091207038768l-1.62844111520749m-3.55029720853717n-1.43834308353795o-2.19286227514795p-1.4921102498488q-0.103497635074692r-2.25826024336509s-2.21722958708457t-0.292376137156276u-3.48000317354513v+0.00068691124317688w
0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w) = -6.26346300393984-1.24907476503799i+2.62216928166616j-2.48483179067311k-5.89675277619805l-2.38848826949698m-2.01339033712339n-1.28121787520162o-0.943757241603455p-1.37163475684318q-1.31190356342026r-1.38434375682555s-3.70477151828852t+0.91319339975447u-5.36692236895912v-1.18553600317993w
(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w)*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w - 0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w) = -4.0456872440931i+0.523485366086556j+1.90978337720271k-0.774159294189626l+0.760047154289491m-1.53690687141378n-0.157125208336332o-1.24910503354449p-0.120475493005624q+1.20840592834556r-0.873916486539538s+1.48754193120395t-1.20556953691075u+1.886919195414v+1.18622291442311w
Difference = 6.02371816288498
Associative identity 1:
(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w)*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w = -6.26346300393984-2.07685315961069i-2.46404914873127j-1.67341172463537k+1.5432379801964l-5.05327235022477m-2.36821624675312n+0.494918174655244o-0.260551205275688p-0.954704323988367q+0.309374750634295r+1.55993135186781s-1.01264712415104t-3.70803385931214u-1.65231840360104v-6.63257636997893w
0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w) = -6.26346300393984-0.11446428641395i-1.69492916988106j-4.0379801279159k+2.33666214541674l-1.71030358295865m-2.23268894007891n+0.90338157968444o+0.988553828268804p+0.127082805234443q-1.90032317539r+0.0227273030776154s-2.09043015031001t-2.54065314325311u-2.49552738125071v-6.7266082642662w
(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w)*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w - 0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*(0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w) = 8.88178419700125e-16-1.96238887319674i-0.769119978850217j+2.36456840328053k-0.79342416522034l-3.34296876726612m-0.135527306674206n-0.408463405029196o-1.24910503354449p-1.08178712922281q+2.20969792602429r+1.53720404879019s+1.07778302615897t-1.16738071605903u+0.843208977649666v+0.0940318942872764w
Difference = 5.93669915094127
Associative identity 1:
(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w)*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w = -6.56589599108882-3.95187077947382i-5.23612331182641j+0.291035531475705k-0.436683875612059l+0.155717167794711m-2.13808533581937n-1.40217481137854o-1.03942295072248p-0.218064288317213q-5.49993705428025r-0.630573196866599s-5.44620974268103t-0.00638724733957152u-2.97211254080858v+0.737619986663991w
0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w) = -6.56589599108882-5.9576919317252i-6.22259041897092j+0.526821146758694k-3.37424024691158l-1.64953917297871m+0.180825117821159n-0.915114201884399o-2.28852798426697p-0.852862539727251q-1.8353816280863r-0.467915251609528s-2.66742538303195t-2.12666446356212u-2.33245558128526v+1.03073044315955w
(0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w)*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w - 0.488843401602654+0.870374043621638i+0.77036479847477j+0.580385763523175k+0.0315424851639996l+0.713647918382705m+0.58696247964647n+0.169805624499098o+0.310936655277235p+0.0888320004302727q+0.604229504924643r+0.491343213905488s+0.896848914519683t+0.67956324917732u+0.530464996292434v+0.845477239890492w*(0.348190964134009+0.406626296565122i+0.0150970376817092j+0.575626522680359k+0.462078209153294l+0.939732689748197m+0.664769836416067n+0.150931870520672o+0.191838372347124p+0.326412010146782q+0.205948536836939r+0.190144426740382s+0.611772311809421t+0.355518820907619u+0.870749243910151v+0.994848256216294w*0.735644904260031+0.947346672707937i+0.42027594509609j+0.224288105612921k+0.755743189861409l+0.282518816146691m+0.883405906949431n+0.440142362986442o+0.5044846209307p+0.371776310734788q+0.794409665516792r+0.742013856544681s+0.856741687900513t+0.0998360316285272u+0.967885539616926v+0.0944895628867286w) = 2.00582115225139i+0.986467107144517j-0.235785615282989k+2.93755637129953l+1.80525634077342m-2.31891045364053n-0.487060609494144o+1.24910503354449p+0.634798251410038q-3.66455542619395r-0.162657945257071s-2.77878435964909t+2.12027721622255u-0.63965695952332v-0.29311045649556w
Difference = 7.11939192380357
# Weak Association tests ...
Weak Identity 1:
(x*x)*y = -0.29109792998558-0.406950607752863i-0.259228307889736j-0.22230871736914k-0.0372049474251481l-0.145410189663698m-0.319176551926916n-0.313973423315423o-0.238936388503398p-0.0249996302762431q-0.10741535252378r-0.323424460929775s-0.354657755955057t-0.0923098852657647u-0.320910609634178v+0.0246896379710305w
x*(x*y) = -0.29109792998558-0.319278047443188i-0.394052870636808j-0.184601836157465k-0.00389400835472206l-0.155904120027388m-0.370094229538614n-0.364513720080804o-0.238936388503398p-0.0439478477799916q-0.0360830659027015r-0.341876175610553s-0.401045626901757t-0.0775427674869553u-0.3560218898975v+0.037562259653321w
(x*x)*y - x*(x*y) = -0.0876725603096748i+0.134824562747072j-0.0377068812116756k-0.033310939070426l+0.0104939303636902m+0.0509176776116977n+0.0505402967653811o-5.55111512312578e-17p+0.0189482175037485q-0.071332286621079r+0.0184517146807781s+0.0463878709466997t-0.0147671177788094u+0.0351112802633226v-0.0128726216822905w
Difference = 0.207867329644716
Weak Identity 2:
(x*y)*y = -0.312851953131724-0.309346525944513i-0.100809414858811j+0.097764849556131k-0.356087419114446l-0.369692105143501m+0.0234495201671306n-0.242884402218922o-0.360407192918781p-0.37485360767693q-0.124518247274149r-0.367405752201502s+0.0257864900722683t-0.494010378923078u-0.150451184700328v-0.059856542120248w
x*(y*y) = -0.312851953131724-0.275670700808605i-0.11708603447802j-0.0129846742242832k-0.190427698452639l-0.412422211086858m-0.0483156806769978n-0.110970156109686o-0.360407192918781p-0.322778660611085q-0.161142305163657r-0.191625358513863s-0.0811348212851278t-0.463844807327591u-0.232708470220295v-0.156754556998116w
(x*x)*y - x*(x*y) = -0.0336758251359074i+0.0162766196192094j+0.110749523780414k-0.165659720661807l+0.0427301059433573m+0.0717652008441283n-0.131914246109236o+1.11022302462516e-16p-0.0520749470658451q+0.0366240578895078r-0.175780393687639s+0.106921311357396t-0.0301655715954867u+0.0822572855199672v+0.0968980148778679w
Difference = 0.35907457069317
# Moufang condition tests ...
Moufang condition 1:
z*(x*(z*y)) = 0.196793533882257-0.226802962701273i-0.141113772223516j-0.299053157568213k-0.233639579426893l-0.432038693660548m-0.277492142439481n-0.145215598207157o-0.115138503093991p-0.17789978458173q+0.0922069858939746r-0.386830075806657s+0.368790390640216t+0.296575557742031u+0.238746643953982v+0.130476442865232w
((z*x)*z)*y = 0.196793533882257-0.199100279663922i-0.158194361062268j-0.334974543294843k-0.350229473020835l-0.367475211543497m-0.123904652897999n-0.187944459474883o-0.115138503093991p-0.132557483147078q+0.0716438081589129r-0.427611293755328s+0.327349410868446t+0.278275336348182u+0.216100243701902v+0.192065991767788w
x*(z*(y*z)) - ((x*z)*y)*z = 2.77555756156289e-17-0.0277026830373508i+0.0170805888387522j+0.0359213857266304k+0.116589893593942l-0.0645634821170514m-0.153587489541482n+0.0427288612677262o+2.77555756156289e-17p-0.0453423014346519q+0.0205631777350617r+0.0407812179486716s+0.0414409797717699t+0.0183002213938487u+0.0226464002520793v-0.0615895489025559w
Difference = 0.23669877768278
Moufang condition 2:
x*(z*(y*z)) = 0.196793533882257-0.0449492348377871i-0.271103253392295j-0.0869008000606326k-0.0483468380243683l+0.0328247762412979m+0.212095739059058n-0.250562248504182o+0.0318908161485145p-0.059037728379884q-0.195046680597849r+0.35313647762263s-0.631198695138956t-0.369935282341901u-0.155138462908152v-0.327267156657285w
((x*z)*y)*z = 0.196793533882257-0.0898891616017417i-0.220920013048739j-0.116266770687957k-0.00185805491105231l-0.0218213898028727m+0.0997744869886266n-0.155163800296323o+0.0318908161485144p-0.00937187252887067q-0.180330116123414r+0.331758877296419s-0.667210981877371t-0.366131557729689u-0.148376796213349v-0.345498853814592w
x*(z*(y*z)) - ((x*z)*y)*z = 1.11022302462516e-16+0.0449399267639547i-0.0501832403435558j+0.0293659706273247k-0.046488783113316l+0.0546461660441706m+0.112321252070432n-0.0953984482078585o+1.52655665885959e-16p-0.0496658558510133q-0.0147165644744351r+0.0213776003262112s+0.0360122867384153t-0.00380372461221185u-0.00676166669480216v+0.0182316971573074w
Difference = 0.192599058158311
Moufang condition 3:
(z*x)*(y*z) = 0.515894593514585-0.0430495631549611i-0.11791965413893j-0.334843949894538k-0.097535476259283l-0.450945649060905m+0.0541956040423089n-0.365827655634929o-0.250085338378484p+0.011254353970008q+0.103003227340593r-0.268757619443804s-0.294943680509905t-0.0230055456187796u+0.0564928987097562v-0.170300486525345w
(z*(x*y))*z = 0.515533320739925+0.00312930927219907i-0.131426990117438j-0.380475297492342k-0.147538494788766l-0.4658849867559m+0.0641055443597282n-0.314020625666354o-0.245737812013478p-0.0436786953668334q+0.0643149475387158r-0.229952976245244s-0.248065969752894t-0.0658947903466901u+0.058096273672756v-0.139203453899598w
(z*x)*(y*z) - (z*(x*y))*z = 0.00036127277465936-0.0461788724271602i+0.0135073359785075j+0.0456313475978047k+0.0500030185294831l+0.0149393376949954m-0.00990994031741929n-0.0518070299685753o-0.00434752636500568p+0.0549330493368414q+0.0386882798018772r-0.0388046431985601s-0.0468777107570115t+0.0428892447279106u-0.00160337496299977v-0.031097032625747w
Difference = 0.144736572022609
Moufang condition 4:
(z*x)*(y*z) = 0.515894593514585-0.0430495631549611i-0.11791965413893j-0.334843949894538k-0.097535476259283l-0.450945649060905m+0.0541956040423089n-0.365827655634929o-0.250085338378484p+0.011254353970008q+0.103003227340593r-0.268757619443804s-0.294943680509905t-0.0230055456187796u+0.0564928987097562v-0.170300486525345w
z*((x*y)*z) = 0.515533320739925+0.00312930927219902i-0.131426990117438j-0.380475297492342k-0.147538494788766l-0.4658849867559m+0.0641055443597282n-0.314020625666354o-0.245737812013478p-0.0436786953668334q+0.0643149475387158r-0.229952976245244s-0.248065969752894t-0.0658947903466901u+0.0580962736727561v-0.139203453899598w
(z*x)*(y*z) - z*((x*y)*z) = 0.00036127277465936-0.0461788724271601i+0.0135073359785075j+0.0456313475978047k+0.0500030185294832l+0.0149393376949954m-0.00990994031741931n-0.0518070299685753o-0.00434752636500566p+0.0549330493368414q+0.0386882798018771r-0.0388046431985601s-0.0468777107570115t+0.0428892447279105u-0.00160337496299988v-0.0310970326257471w
Difference = 0.144736572022609
# Power Associative tests ...
vector x: 0.0920684005013662+0.326432620036345i+0.248799672735315j+0.116322056441276k+0.191218174349115l+0.0553739612087108m+0.417411932240003n+0.0570708898310528o+0.0317762447552846p+0.357304818146745q+0.201362808286227r+0.29538587071872s+0.0454279122251074t+0.413017926304815u+0.0634542341423829v+0.399076915320781w
norm x: 1
vector y: 0.00624640941023053+0.221401021258098i+0.159279456783095j+0.159623174873619k+0.318336202279146l+0.0595584692102279m+0.229135364505752n+0.184722229895607o+0.391107701131575p+0.332019218593756q+0.295425280424186r+0.203537244902555s+0.170432438461038t+0.185192018751212u+0.388913037085633v+0.319500310397619w
norm y: 1
vector z: -0.787332625883341-0.182526150874476i-0.251988746377148j+0.0962768192626505k+0.00982417140949372l-0.366424190406906m+0.0776464160685759n+0.0630776333685001o-0.107118952072234p+0.28631135833625q+0.0870745510476655r+0.137220737690297s+0.0784430864155769t-0.0380090718187683u+0.0483406848175355v+0.0609370862911373w
norm z: 1.00192579511629
t/5_Sedenion.t ....... ok
All tests successful.
Files=5, Tests=177, 21 wallclock secs ( 0.04 usr 0.01 sys + 16.84 cusr 0.09 csys = 16.98 CPU)
Result: PASS
------------------------------
PREREQUISITES
------------------------------
Prerequisite modules loaded:
requires:
Module Need Have
------------------- ---- -------
Data::Dumper 0 2.173
overload 0 1.26
build_requires:
Module Need Have
------------------- ---- -------
ExtUtils::MakeMaker 0 7.37_04
------------------------------
ENVIRONMENT AND OTHER CONTEXT
------------------------------
Environment variables:
AUTOMATED_TESTING = 1
LANG = en_US.UTF-8
PATH = /home/sand/bin:/usr/local/bin:/usr/bin:/bin:/usr/games:/usr/local/perl/bin:/usr/X11/bin:/sbin:/usr/sbin
PERL5LIB =
PERL5OPT =
PERL5_CPANPLUS_IS_RUNNING = 15793
PERL5_CPAN_IS_RUNNING = 15793
PERL_CANARY_STABILITY_NOPROMPT = 1
PERL_MM_USE_DEFAULT = 1
PERL_USE_UNSAFE_INC = 1
SHELL = /usr/bin/zsh
TERM = screen
Perl special variables (and OS-specific diagnostics, for MSWin32):
$^X = /home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/bin/perl
$UID/$EUID = 1005 / 1005
$GID = 1005 1005
$EGID = 1005 1005
Perl module toolchain versions installed:
Module Have
------------------- --------
CPAN 2.27
CPAN::Meta 2.150010
Cwd 3.75
ExtUtils::CBuilder 0.280231
ExtUtils::Command 7.37_04
ExtUtils::Install 2.06
ExtUtils::MakeMaker 7.37_04
ExtUtils::Manifest 1.70
ExtUtils::ParseXS 3.35
File::Spec 3.75
JSON 4.02
JSON::PP 4.04
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 0.9924
--
Summary of my perl5 (revision 5 version 24 subversion 4) configuration:
Derived from: 901dd848e31de6d0cacfb77c029b4e92c41a13ce
Platform:
osname=linux, osvers=4.18.0-2-amd64, archname=x86_64-linux
uname='linux k93msid 4.18.0-2-amd64 #1 smp debian 4.18.10-2 (2018-10-07) x86_64 gnulinux '
config_args='-Dprefix=/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c -Dmyhostname=k93msid -Dinstallusrbinperl=n -Uversiononly -Dusedevel -des -Ui_db -Dlibswanted=cl pthread socket inet nsl gdbm dbm malloc dl ld sun m crypt sec util c cposix posix ucb BSD gdbm_compat -Uuseithreads -Uuselongdouble -DEBUGGING=-g'
hint=recommended, useposix=true, d_sigaction=define
useithreads=undef, usemultiplicity=undef
use64bitint=define, use64bitall=define, uselongdouble=undef
usemymalloc=n, 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',
optimize='-O2 -g',
cppflags='-fwrapv -fno-strict-aliasing -pipe -fstack-protector-strong -I/usr/local/include'
ccversion='', gccversion='8.2.0', 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/8/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-2.27.so, so=so, useshrplib=false, libperl=libperl.a
gnulibc_version='2.27'
Dynamic Linking:
dlsrc=dl_dlopen.xs, dlext=so, d_dlsymun=undef, ccdlflags='-Wl,-E'
cccdlflags='-fPIC', lddlflags='-shared -O2 -g -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_HASH_FUNC_ONE_AT_A_TIME_HARD PERL_MALLOC_WRAP
PERL_PRESERVE_IVUV PERL_USE_DEVEL 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
Locally applied patches:
uncommitted-changes
Built under linux
Compiled at Oct 27 2018 20:11:31
%ENV:
PERL5LIB=""
PERL5OPT=""
PERL5_CPANPLUS_IS_RUNNING="15793"
PERL5_CPAN_IS_RUNNING="15793"
PERL_CANARY_STABILITY_NOPROMPT="1"
PERL_MM_USE_DEFAULT="1"
PERL_USE_UNSAFE_INC="1"
@INC:
/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/lib/site_perl/5.24.4/x86_64-linux
/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/lib/site_perl/5.24.4
/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/lib/5.24.4/x86_64-linux
/home/sand/src/perl/repoperls/installed-perls/host/k93msid/v5.24.4/da1c/lib/5.24.4
.