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64 lines
4.3 KiB
Plaintext
64 lines
4.3 KiB
Plaintext
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Results of octonion test.
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(C) Copyright Hubert Holin 2003-2005.
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENSE_1_0.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt)
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Running 7 test cases...
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Testing multiplication for float.
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Testing multiplication for double.
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Testing multiplication for long double.
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Testing exp for float.
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Testing exp for double.
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Testing exp for long double.
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Please input an octonion...
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You have entered the octonion (1,2,3,4,5,6,7,8) .
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For this octonion:
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the value of the real part is 1
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the value of the unreal part is (0,2,3,4,5,6,7,8)
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the value of the sup norm is 8
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the value of the l1 norm is 36
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the value of the magnitude (euclidian norm) is 14.2829
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the value of the (Cayley) norm is 204
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the value of the conjugate is (1,-2,-3,-4,-5,-6,-7,-8)
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the value of the exponential is (-0.300136,0.379239,0.568858,0.758478,0.948097,1.13772,1.32734,1.51696)
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the value of the cube is (-608,-400,-600,-800,-1000,-1200,-1400,-1600)
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the value of the cosinus is (416246,-90998.6,-136498,-181997,-227497,-272996,-318495,-363995)
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the value of the sinus is (648266,58429.6,87644.3,116859,146074,175289,204503,233718)
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the value of the tangent is (3.28749e-08,0.140372,0.210559,0.280745,0.350931,0.421118,0.491304,0.56149)
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the value of the hyperbolic cosinus is (-0.170378,0.163957,0.245936,0.327915,0.819786,0.983744,1.1477,1.31166)
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the value of the hyperbolic sinus is (-0.129759,0.215282,0.322922,0.430563,1.07641,1.29169,1.50697,1.72225)
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the value of the hyperbolic tangent is (1.30977,-0.00314284,-0.00471435,-0.00628569,-0.0157142,-0.0188571,-0.022,-0.0251428)
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the value of the Sinus Cardinal (of index pi) is (32249.3,-6069.12,-9103.69,-12138.2,-15172.8,-18207.4,-21241.9,-24276.5)
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the value of the Hyperbolic Sinus Cardinal (of index pi) is (0.198288,0.00232745,0.00349117,0.0046549,-0.0258405,0.0175354,0.0155332,0.0261946)
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The value of the octonion represented in spherical form by rho = 64 , theta = 0.785398 , phi1 = 0.785398 , phi2 = 0.785398 , phi3 = 0.785398 , phi4 = 0.785398 , phi5 = 0.785398 , phi6 = 0.785398 is (5.65685,5.65685,8,11.3137,16,22.6274,32,45.2548)
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The value of the octonion represented in multipolar form by rho1 = 1 , theta1 = 0 , rho2 = 2 , theta2 = 1.5708rho3 = 1.41421 , theta3 = 0.785398 , rho4 = 2.82843 , theta4 = 1.0472 is (1,0,-8.74228e-08,2,1,1,1.41421,2.44949)
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The value of the octonion represented in cylindrical form by r = 1.41421 , angle = 0.785398 , h1 = 3 , h2 = 4 , h3 = 5 , h4 = 6 , h5 = 7 , h6 = 8 is (1,1,3,4,5,6,7,8)
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Real 1: 1 ; Complex 1: (1,0) ; Quaternion 1: (1,0,0,0) ; Octonion 1: (1,0,0,0,0,0,0,0) .
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Complex i: (0,1) ; Quaternion i: (0,1,0,0) ; Octonion i : (0,1,0,0,0,0,0,0) .
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Quaternion j: (0,0,1,0) ; Octonion j: (0,0,1,0,0,0,0,0) .
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Quaternion k: (0,0,0,1) ; Octonion k: (0,0,0,1,0,0,0,0) .
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Quaternion e': (0,0,0,0,1,0,0,0) .
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Quaternion i': (0,0,0,0,0,1,0,0) .
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Quaternion j': (0,0,0,0,0,0,1,0) .
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Quaternion k': (0,0,0,0,0,0,0,1) .
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(1,0,0,0,0,0,0,0) ; (0,1,0,0,0,0,0,0) ; (0,0,1,0,0,0,0,0) ; (0,0,0,1,0,0,0,0) ; (0,0,0,0,1,0,0,0) ; (0,0,0,0,0,1,0,0) ; (0,0,0,0,0,0,1,0) ; (0,0,0,0,0,0,0,1) ;
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(0,1,0,0,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ; (0,0,0,1,0,0,0,0) ; (0,0,-1,0,0,0,0,0) ; (0,0,0,0,0,1,0,0) ; (0,0,0,0,-1,0,0,0) ; (0,0,0,0,0,0,0,-1) ; (0,0,0,0,0,0,1,0) ;
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(0,0,1,0,0,0,0,0) ; (0,0,0,-1,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ; (0,1,0,0,0,0,0,0) ; (0,0,0,0,0,0,1,0) ; (0,0,0,0,0,0,0,1) ; (0,0,0,0,-1,0,0,0) ; (0,0,0,0,0,-1,0,0) ;
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(0,0,0,1,0,0,0,0) ; (0,0,1,0,0,0,0,0) ; (0,-1,0,0,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ; (0,0,0,0,0,0,0,1) ; (0,0,0,0,0,0,-1,0) ; (0,0,0,0,0,1,0,0) ; (0,0,0,0,-1,0,0,0) ;
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(0,0,0,0,1,0,0,0) ; (0,0,0,0,0,-1,0,0) ; (0,0,0,0,0,0,-1,0) ; (0,0,0,0,0,0,0,-1) ; (-1,0,0,0,0,0,0,0) ; (0,1,0,0,0,0,0,0) ; (0,0,1,0,0,0,0,0) ; (0,0,0,1,0,0,0,0) ;
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(0,0,0,0,0,1,0,0) ; (0,0,0,0,1,0,0,0) ; (0,0,0,0,0,0,0,-1) ; (0,0,0,0,0,0,1,0) ; (0,-1,0,0,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ; (0,0,0,-1,0,0,0,0) ; (0,0,1,0,0,0,0,0) ;
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(0,0,0,0,0,0,1,0) ; (0,0,0,0,0,0,0,1) ; (0,0,0,0,1,0,0,0) ; (0,0,0,0,0,-1,0,0) ; (0,0,-1,0,0,0,0,0) ; (0,0,0,1,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ; (0,-1,0,0,0,0,0,0) ;
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(0,0,0,0,0,0,0,1) ; (0,0,0,0,0,0,-1,0) ; (0,0,0,0,0,1,0,0) ; (0,0,0,0,1,0,0,0) ; (0,0,0,-1,0,0,0,0) ; (0,0,-1,0,0,0,0,0) ; (0,1,0,0,0,0,0,0) ; (-1,0,0,0,0,0,0,0) ;
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i'*(e'*j) : (0,0,0,1,0,0,0,0) ;
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(i'*e')*j : (0,0,0,-1,0,0,0,0) ;
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*** No errors detected
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