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'E]ÐUE@D@u 1]Ðt&1]ÐD$D$ ÐUSE$XZӁ~v'B.?8$< t&5@($7st&'A.@$[7I$XZ3@~3@u(=}w! 7$ 7 7]]ÐD$E tétÐD$%77EtÐUSE$XZЉÁ~ vEE?}EE࿁5@h/>7E$?M'MiA.@$MN$XZ3@~3@u(=}w!7Ƀ$|E t&7ɋ]]ÐD$ÐT$D$% ЉD$D$ÐD$E @t=t)-77-7ét7ËD$%=%ÐD$ÐUSG=GtЃ;u]]É'U]ÐUS[[$a]]These are tests of functions in Qlib.c. This collection of functions is written in an object oriented way q1 and q2 used to test functions are Unary doubles the interval squared (-8) is: %g the absolute value (3.16...) is: the absolute value of the vector (3) is: the norm (10) is: the norm of the vector is (9) is: the determinant (100) is: Unary quaternion functions the scalar (1 0 0 0) is: the vector (0 2 1 2) is: the conjugate (1 -2 -1 -2) is: the inverse (.1 -.2 -.1 -.2) is: the adjoint (10 -20 -10 -20) is: unitary version of q1 is: test of that: Trigs sin of 5 5i q1 (.-9589 (0 74.203) (8.471 3.608 1.804 3.608) : cos of 5 5i q1 (.2836 74.209 (5.439 -5.619 -2.809 -5.619) : tan of 5 5i q1 (-3.380 (0 .9999) (.0045 .6680 .3340 .6680) : inverse trigs asin of 5 5i q1 ((1.5707 -2.2924) (0 2.3124) (.3076 1.2427 .6213 1.2427) : acos of 5 5i q1 ((0 2.2924) (1.5707 -2.3124) (1.2631 -1.2427 -.6213 -1.2427) : atan of 5 5i q1 (1.3734 (1.5707 2.027) (1.4614 .2039 .1019 .2039) : sin(asin(q1) inverse check: asin(sin(q1) inverse check: cos(acos(q1) inverse check: acos(cos(q1) inverse check: tan(atan(q1) inverse check: atan(tan(q1) inverse check: hyperboic trigs sinh of 5 5i q1 (74.203 (0 -.9589) (-1.1634 0.1451 0.0725 0.1451) : cosh of 5 5i q1 (74.2099 .2836 (-1.5276 0.1105 0.0552 0.1105) : tanh of 5 5i q1 (.9999 (0 -3.3805) (.7680 -.03944 -.01972 -0.03944) : inverse hyperbolic trigs asinh of 5 5i q1 (2.3124 (2.2924 1.5707) (1.824 0.8220 .4110 .8220)) : the acosh of 5 5i q1 (2.2924 (2.3124 1.5707) (1.8614 .8421 .4210 .8421)) : atanh of 5 5i q1 ((.2027 -1.5707) (0 1.3734) (0.0919 0.8511 .4255 .8511)) : sinh(asinh(q1) inverse check: asinh(sinh(q1) inverse check [doesn't work in Mathematica either]: cosh(acosh(q1) inverse check: acosh(cosh(q1) inverse check: tanh(atanh(q1) inverse check: atanh(tanh(q1) inverse check [doesn't work in Mathematica either]: the exponential of 5 5i q1 (148.4131 (.2836 -9859) (-2.6910 0.2557 .1278 .2557) : powers: 5 5i q1 to the 3 (125 (0 -125) (-26 -12 -6 -12)): powers: 5 5i q1 to the q2 ((-17.4049 -14.653 -7.3265 -7.3265) (.7305 .7118 .004324 .3559) (.3170 -.2928 -.2322 -.2322)) : ln of 5 5i q1 (1.6094 (1.6094 1.5707) (1.1512 .8326 .4163 .8326) : log base 10 of 5 5i q1 (.6989 (.6989 .6821) (.5 .3616 .1808 .3616) : addition/subtraction the sum (3 4 2 3) is: the difference (-1 0 0 1) is: products - even odds inverses the product (-5 5 5 5) is: the product of q1 q2^-1 (.9 .3 -.1 .3) is: the product of 3xq1 (3 6 3 6) is: the product of q1^-1 q2 (.9 -.1 -.3 -.3) is: the even product of q1 q2 (-5 6 3 5) is: the odd product of q1 q2 (0 -1 2 0) is: the Euclidean product of q1 q2 (9 -1 -3 -3) is: the even Euclidean product of q1 q2 (9 0 0 0) is: the odd Euclidean product of q1 q2 (0 -1 -3 -3) is: the flipped Euclidean product of q1 q2 (9 3 -1 3) is: the even flipped Euclidean product of q1 q2 (9 0 0 0) is: the odd Euclidean flipped product of q1 q2 (0 3 -1 3) is: rotations q1 lefty rotated by 10 along the x axis (1 2 1.3321 1.7959) is: q1 lefty rotated by 90 along the x axis (1 2 2 -1) is: q1 lefty rotated by 90 along the y axis (1 -2 1 2) is: q1 rotated by 90 along the z axis (1 1 -2 2) is: q1 rotated by 90 along the 001 axis (1 1 -2 2) is: q2 rotated by q1 (2 1.4 .2 2) is: the triple product q1* q2 q1 (20 14 2 20) is: dividing by zero occured in dtau2_invdividing by zero occured in dabs_invdividing by zero occured in dvector_invdividing by zero occured in dnorm_invdividing by zero occured in dnorm_vector_invdividing by zero occured in ddet_inv??RFߑ?@RFߑ?@RFߑ?@RFߑ?@RFߑ?@RFߑ?@RFߑ?@RFߑ?@%g %g %g %g%g %g %g %g ?@Yn@}3@9B.@Q0-I9B.@Q0-Iacosfacoslacosacos: DOMAIN error asinfasinlasinasin: DOMAIN error atan2fatan2latan2__kernel_standard../sysdeps/libm-ieee754/k_standard.c_LIB_VERSION == _SVID_atan2: DOMAIN error hypotfhypotlhypotcoshfcoshlcoshexpfexplexpy0fy0ly0y0: DOMAIN error y1fy1ly1y1: DOMAIN error ynfynlynyn: DOMAIN error lgammaflgammallgammalgamma: SING error logfloglloglog: SING error log: DOMAIN error log10flog10llog10log10: SING error log10: DOMAIN error powfpowlpowpow(0,0): DOMAIN error pow(0,neg): DOMAIN error neg**non-integral: DOMAIN error sinhfsinhlsinhsqrtfsqrtlsqrtsqrt: DOMAIN error fmodffmodlfmodfmod: DOMAIN error remainderfremainderlremainderremainder: DOMAIN error acoshfacoshlacoshacosh: DOMAIN error atanhfatanhlatanhatanh: DOMAIN error atanh: SING error scalbfscalblscalbj0fj0lj0: TLOSS error j1fj1lj1jnfjnljngammafgammalgammagamma: SING error ???u<7~??(\??3t<{3t<{??\);?8Hbr„҄  # HH؃ ooorGCC: (GNU) 2.7.2.3GCC: (GNU) 2.7.2.3GCC: (GNU) 2.7.2.3GCC: (GNU) 2.7.2.301.0101.0101.0101.01.symtab.strtab.shstrtab.interp.hash.dynsym.dynstr.gnu.version.gnu.version_r.rel.got.rel.bss.rel.plt.init.plt.text.fini.rodata.data.ctors.dtors.got.dynamic.bss.comment.noteԀ#) 019orr&Fo U ^ g ؃H p  ,vLL{##*GGGH48H8HظXظPP(PxP J pԀr؃  L  # #GGGH8HHP4 `# `# 1G># IGWH# @ d@ zGp IGG P  `3h3p3 0  33P  p  3    l7t7|777! 77777 B "P" ` P" pc" #@d (0n" -\8?!/ N@d S X7 _ oG|P Pd I Y  pI d  P 8HY d #&   @T 0 N p $D *@S 13 :0 Bl[|(nHP 4   I d " !5 0n 4 ФW `D    #  )"; ?P#" D4 J@1 S`M Z `@$ e  l  |I pc 4 ` 0#  D   &" п  "  7  d Pw %0&" )pD 0" 6T ;P B"S" ^0T bl" g m0& s@ z  "P   H &" pY  Ъ4 ` " 0#" ,I(IG `+" T ̄/"" ( T -2 6# <  O Y X(I!lP sP!) 4   `4 n ܄" P# !  l H`T H0I 0d @F @ $ ,& 2  7 HK N` T [d cT hd n`' w`+ }d   GY D $ ` t   0*  gcc2_compiled.crtstuff.c__do_global_ctors_aux__CTOR_END__init_dummyforce_to_data__DTOR_END____do_global_dtors_aux__DTOR_LIST__fini_dummy__CTOR_LIST__Testq.cQlib.conetwotinyo_thresholdu_thresholdzerohalfhugelimitshugeminus1l2ereplaceQexpm1qrot_x_by_anglelogsqrtddetcoshatexit@@GLIBC_2.0__ieee754_sinhqlogrqlnprintqqrot_y_by_angle_LIB_VERSION__logconstructQrqexprqxinvdabs_vector_invrqsinhqdif__atan2qinv_DYNAMICrqcxevenqsum_etext__matherrqxodd__kernel_standardqexprqinvrqxsrqrot_x_by_anglednormrqinvxrqtotheNrqcxodd__assert_fail@@GLIBC_2.0__isnan@@GLIBC_2.0_IO_stderr_@@GLIBC_2.0qatanqrot_z_by_angledtau2_invrqsinqtotheN__errno_location@@GLIBC_2.0dabs_inv__ieee754_exp__coshq3D_rotationrqconjdabs_vector__ieee754_coshqacosh_initmalloc@@GLIBC_2.0qcxrintqxinvrqtotheQrqcopy__expqcxqqcxodd__ieee754_atan2rqcosh__sqrtdnorm_vectorrqacos__finiteqacosdtau2rqrot_y_by_angle__libc_init_first@@GLIBC_2.0rqxevencosrqasinhqxcoddtanhqtanprintlnq_startqcxevenrqxoddsinqatanhatan2qcosqxevenfputs@@GLIBC_2.0__copysignqxssinhrqadj__sinrqasinrqtanhqx__expm1qasinhrqcx__bss_startmainmatherrrqsumrqxqasinrqcxqexpfiniteerrno@@GLIBC_2.0__environ@@GLIBC_2.0data_starttanqcoshprintf@@GLIBC_2.0copysignqsinrqvector_finirqrot_xyz_by_anglerqxceven_environ@@GLIBC_2.0rqatan__ieee754_logqvectorqtanhqscalarrqunitexit@@GLIBC_2.0__ieee754_sqrt__rintrqatanhqrot_xyz_by_angle__sinh_edataqsinh_GLOBAL_OFFSET_TABLE__endqxcevenrqlogddet_invrqxcodd__cosqadjrqrot_z_by_anglerqcosrqtan__tanhqtotheQdabsqconjrqscalar__tanqinvxdnorm_vector_invqln__data_startrqdifqcopyqxcrqacoshqunitrqxcdnorm_invrq3D_rotation__gmon_start__