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/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
/* [ Created with wxMaxima version 13.04.2 ] */ | |
/* [wxMaxima: input start ] */ | |
/* | |
get_M(_VARS,_F):=block([X,N,r,c,B,y,coeff,flag], | |
X:_VARS, | |
f:_F, | |
N:length(X), | |
M:[], | |
for r:1 step 1 thru N do ( | |
coeff:ratcoeff(f,X[r]), | |
M:endcons(expand(coeff),M), | |
f:f-coeff*X[r] | |
), | |
M:endcons(expand(f),M), | |
X:endcons(1,X), | |
return([M,flag,f]) | |
); | |
*/ | |
get_M(_VARS,_F):=block([X,N,r,c,B,y,coeff,flag], | |
X:_VARS, | |
f:_F, | |
N:length(X), | |
M:[], | |
/* extract single term : x,1 */ | |
for r:1 step 1 thru N do ( | |
coeff:ratcoeff(f,X[r]), /* 0 if f has no X[r] terms */ | |
M:endcons(expand(coeff),M), | |
f:f-coeff*X[r] | |
), | |
/* constant */ | |
M:endcons(expand(f),M), | |
X:endcons(1,X), | |
/* exception */ | |
DIFF: expand(M.X - _F), | |
if DIFF # 0 then ( flag:"ERROR:Mx neq original eq" ) else ( flag:"SUCCESS"), | |
return([M,flag,DIFF]) | |
); | |
norm(x):=sqrt(x.x); | |
R01:transpose([1,0,0]); | |
R02:transpose([0,1,0]); | |
T0:transpose([0,0,0]); | |
R11:transpose([r11,r14,r17]); | |
R12:transpose([r12,r15,r18]); | |
R21:transpose([r21,r24,r27]); | |
R22:transpose([r22,r25,r28]); | |
T1:transpose([t11,t12,t13]); | |
T2:transpose([t21,t22,t23]); | |
P00:transpose([u00,v00]); | |
P01:transpose([u01,v01]); | |
P02:transpose([u02,v02]); | |
P03:transpose([u03,v03]); | |
P10:transpose([u10,v10]); | |
P11:transpose([u11,v11]); | |
P12:transpose([u12,v12]); | |
P13:transpose([u13,v13]); | |
P20:transpose([u20,v20]); | |
P21:transpose([u21,v21]); | |
P22:transpose([u22,v22]); | |
P23:transpose([u23,v23]); | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
xd1:(P11[1] - P10[1])[1]; | |
yd1:(P11[2] - P10[2])[1]; | |
xd2:(P21[1] - P20[1])[1]; | |
yd2:(P21[2] - P20[2])[1]; | |
/* CROSSING with PLANE 0 v00,v01 */ | |
ld01:addrow(P01-P00,[0]); | |
/* CROSSING with PLANE 1 v10,v11 */ | |
ld02:addrow(P03-P02,[0]); | |
RCONST1:sqrt(xd1^2 + yd1^2)*ld01/norm(ld01) - xd1*R11 - yd1*R12; | |
RCONST2:sqrt(xd2^2 + yd2^2)*ld02/norm(ld02) - xd2*R21 - yd2*R22; | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
CROSS12A:T1+[R11,R12].P12 - T2-[R21,R22].P22; | |
CROSS12B:T1+[R11,R12].P13 - T2-[R21,R22].P23; | |
CROSS01A:T1+[R11,R12].P10 - T0-[R01,R02].P00; | |
CROSS01B:T1+[R11,R12].P11 - T0-[R01,R02].P01; | |
CROSS02A:T2+[R21,R22].P20 - T0-[R01,R02].P02; | |
CROSS02B:T2+[R21,R22].P21 - T0-[R01,R02].P03; | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
X:[r11,r12,r14,r15,r17,r18,r21,r22,r24,r25,r27,r28,t11,t12,t13,t21,t22,t23]; | |
F1:get_M(X,CROSS12A[1][1]); | |
F2:get_M(X,CROSS12A[2][1]); | |
F3:get_M(X,CROSS12A[3][1]); | |
F4:get_M(X,CROSS12B[1][1]); | |
F5:get_M(X,CROSS12B[2][1]); | |
F6:get_M(X,CROSS12B[3][1]); | |
F7:get_M(X,CROSS01A[1][1]); | |
F8:get_M(X,CROSS01A[2][1]); | |
F9:get_M(X,CROSS01A[3][1]); | |
F10:get_M(X,CROSS01B[1][1]); | |
F11:get_M(X,CROSS01B[2][1]); | |
F12:get_M(X,CROSS01B[3][1]); | |
F13:get_M(X,CROSS02A[1][1]); | |
F14:get_M(X,CROSS02A[2][1]); | |
F15:get_M(X,CROSS02A[3][1]); | |
F16:get_M(X,CROSS02B[1][1]); | |
F17:get_M(X,CROSS02B[2][1]); | |
F18:get_M(X,CROSS02B[3][1]); | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
F19:get_M(X,RCONST1[1][1]); | |
F20:get_M(X,RCONST1[2][1]); | |
F21:get_M(X,RCONST1[3][1]); | |
F22:get_M(X,RCONST2[1][1]); | |
F23:get_M(X,RCONST2[2][1]); | |
F24:get_M(X,RCONST2[3][1]); | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
Madd:matrix(F19[1]); | |
Madd:addrow(Madd,F20[1]); | |
Madd:addrow(Madd,F21[1]); | |
Madd:addrow(Madd,F22[1]); | |
Madd:addrow(Madd,F23[1]); | |
Madd:addrow(Madd,F24[1]); | |
/* [wxMaxima: input end ] */ | |
/* [wxMaxima: input start ] */ | |
Mall:matrix(F1[1]); | |
Mall:addrow(Mall,F2[1]); | |
Mall:addrow(Mall,F3[1]); | |
Mall:addrow(Mall,F4[1]); | |
Mall:addrow(Mall,F5[1]); | |
Mall:addrow(Mall,F6[1]); | |
Mall:addrow(Mall,F7[1]); | |
Mall:addrow(Mall,F8[1]); | |
Mall:addrow(Mall,F9[1]); | |
Mall:addrow(Mall,F10[1]); | |
Mall:addrow(Mall,F11[1]); | |
Mall:addrow(Mall,F12[1]); | |
Mall:addrow(Mall,F13[1]); | |
Mall:addrow(Mall,F14[1]); | |
Mall:addrow(Mall,F15[1]); | |
Mall:addrow(Mall,F16[1]); | |
Mall:addrow(Mall,F17[1]); | |
Mall:addrow(Mall,F18[1]); | |
X1:endcons(1,X); | |
Mall.X1; | |
TRUTH:transpose([CROSS12A[1][1],CROSS12A[2][1],CROSS12A[3][1],CROSS12B[1][1],CROSS12B[2][1],CROSS12B[3][1],CROSS01A[1][1],CROSS01A[2][1],CROSS01A[3][1],CROSS01B[1][1],CROSS01B[2][1],CROSS01B[3][1],CROSS02A[1][1],CROSS02A[2][1],CROSS02A[3][1],CROSS02B[1][1],CROSS02B[2][1],CROSS02B[3][1]]); | |
/* [wxMaxima: input end ] */ | |
/* Maxima can't load/batch files which end with a comment! */ | |
"Created with wxMaxima"$ |
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