@@ -1,171 +1,171 @@ -REDUCE 3.6, 15-Jul-95, patched to 6 Mar 96 ... - - -MATRIX M(3,3)$ - - -M(1,1) := 18*COS(Q3)*COS(Q2)*M30*P**2 - 9*SIN(Q3)**2*P**2*M30 - - SIN(Q3)**2*J30Y + SIN(Q3)**2*J30Z + P**2*M10 - + 18*P**2*M30 + J10Y + J30Y; - - - 2 2 2 -m(1,1) := 18*cos(q2)*cos(q3)*m30*p - sin(q3) *j30y + sin(q3) *j30z - - 2 2 2 2 - - 9*sin(q3) *m30*p + j10y + j30y + m10*p + 18*m30*p - -M(2,1) := -M(1,2) := 9*COS(Q3)*COS(Q2)*M30*P**2 - SIN(Q3)**2*J30Y + - SIN(Q3)**2*J30Z - 9*SIN(Q3)**2*M30*P**2 + J30Y + - 9*M30*P**2; - - - 2 2 2 -m(2,1) := m(1,2) := 9*cos(q2)*cos(q3)*m30*p - sin(q3) *j30y + sin(q3) *j30z - - 2 2 2 - - 9*sin(q3) *m30*p + j30y + 9*m30*p - -M(3,1) := -M(1,3) := -9*SIN(Q3)*SIN(Q2)*M30*P**2; - - - 2 -m(3,1) := m(1,3) := - 9*sin(q2)*sin(q3)*m30*p - -M(2,2) := -SIN(Q3)**2*J30Y + SIN(Q3)**2*J30Z - 9*SIN(Q3)**2 - *M30*P**2 + J30Y + 9*M30*P**2; - - - 2 2 2 2 2 -m(2,2) := - sin(q3) *j30y + sin(q3) *j30z - 9*sin(q3) *m30*p + j30y + 9*m30*p - -M(3,2) := -M(2,3) := 0; - - -m(3,2) := m(2,3) := 0 - -M(3,3) := 9*M30*P**2 + J30X; - - - 2 -m(3,3) := j30x + 9*m30*p - - -GENTRANLANG!* := 'FORTRAN$ - - -FORTLINELEN!* := 72$ - - - -GENTRAN LITERAL "C", CR!*, - "C", TAB!*, "*** COMPUTE VALUES FOR MATRIX M ***", CR!*, - "C", CR!*$ - -c -c *** compute values for matrix m *** -c - - -FOR j:=1:3 DO - FOR k:=j:3 DO - GENTRAN M(j,k) ::=: M(j,k)$ - - m(1,1)=18.0*cos(real(q2))*cos(real(q3))*m30*p**2-(sin(real(q3))**2 - . *j30y)+sin(real(q3))**2*j30z-(9.0*sin(real(q3))**2*m30*p**2)+j10y - . +j30y+m10*p**2+18.0*m30*p**2 - m(1,2)=9.0*cos(real(q2))*cos(real(q3))*m30*p**2-(sin(real(q3))**2* - . j30y)+sin(real(q3))**2*j30z-(9.0*sin(real(q3))**2*m30*p**2)+j30y+ - . 9.0*m30*p**2 - m(1,3)=-(9.0*sin(real(q2))*sin(real(q3))*m30*p**2) - m(2,2)=-(sin(real(q3))**2*j30y)+sin(real(q3))**2*j30z-(9.0*sin( - . real(q3))**2*m30*p**2)+j30y+9.0*m30*p**2 - m(2,3)=0.0e+000 - m(3,3)=j30x+9.0*m30*p**2 - - -GENTRAN LITERAL "C", CR!*, - "C", TAB!*, "*** COMPUTE VALUES FOR INVERSE MATRIX ***", - CR!*, - "C", CR!*$ - -c -c *** compute values for inverse matrix *** -c - - -SHARE var$ - - -FOR j:=1:3 DO - FOR k:=j:3 DO - IF M(j,k) NEQ 0 THEN - << - var := TEMPVAR NIL; - MARKVAR var; - M(j,k) := var; - M(k,j) := var; - GENTRAN - EVAL(var) := M(EVAL(j),EVAL(k)) - >>$ - - t0=m(1,1) - t1=m(1,2) - t2=m(1,3) - t3=m(2,2) - t4=m(3,3) - - -COMMENT -- Contents of Matrix M: --$ - -M := M; - - - [t0 t1 t2] - [ ] -m := [t1 t3 0 ] - [ ] - [t2 0 t4] - - - -MATRIX MXINV(3,3)$ - - -MXINV := M**(-1)$ - - - -FOR j:=1:3 DO - FOR k:=j:3 DO - GENTRAN MXINV(j,k) ::=: MXINV(j,k)$ - - mxinv(1,1)=(t3*t4)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - mxinv(1,2)=-(t1*t4)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - mxinv(1,3)=-(t2*t3)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - mxinv(2,2)=(t0*t4-t2**2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - mxinv(2,3)=(t1*t2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - mxinv(3,3)=(t0*t3-t1**2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) - - -GENTRAN - for j:=1:3 do - for k:=j+1:3 do - << - m(k,j) := m(j,k); - mxinv(k,j) := mxinv(j,k) - >>$ - - do 25001 j=1,3 - do 25002 k=j+1,3 - m(k,j)=m(j,k) - mxinv(k,j)=mxinv(j,k) -25002 continue -25001 continue - - -END$ -(TIME: gentran 190 200) +REDUCE 3.6, 15-Jul-95, patched to 6 Mar 96 ... + + +MATRIX M(3,3)$ + + +M(1,1) := 18*COS(Q3)*COS(Q2)*M30*P**2 - 9*SIN(Q3)**2*P**2*M30 + - SIN(Q3)**2*J30Y + SIN(Q3)**2*J30Z + P**2*M10 + + 18*P**2*M30 + J10Y + J30Y; + + + 2 2 2 +m(1,1) := 18*cos(q2)*cos(q3)*m30*p - sin(q3) *j30y + sin(q3) *j30z + + 2 2 2 2 + - 9*sin(q3) *m30*p + j10y + j30y + m10*p + 18*m30*p + +M(2,1) := +M(1,2) := 9*COS(Q3)*COS(Q2)*M30*P**2 - SIN(Q3)**2*J30Y + + SIN(Q3)**2*J30Z - 9*SIN(Q3)**2*M30*P**2 + J30Y + + 9*M30*P**2; + + + 2 2 2 +m(2,1) := m(1,2) := 9*cos(q2)*cos(q3)*m30*p - sin(q3) *j30y + sin(q3) *j30z + + 2 2 2 + - 9*sin(q3) *m30*p + j30y + 9*m30*p + +M(3,1) := +M(1,3) := -9*SIN(Q3)*SIN(Q2)*M30*P**2; + + + 2 +m(3,1) := m(1,3) := - 9*sin(q2)*sin(q3)*m30*p + +M(2,2) := -SIN(Q3)**2*J30Y + SIN(Q3)**2*J30Z - 9*SIN(Q3)**2 + *M30*P**2 + J30Y + 9*M30*P**2; + + + 2 2 2 2 2 +m(2,2) := - sin(q3) *j30y + sin(q3) *j30z - 9*sin(q3) *m30*p + j30y + 9*m30*p + +M(3,2) := +M(2,3) := 0; + + +m(3,2) := m(2,3) := 0 + +M(3,3) := 9*M30*P**2 + J30X; + + + 2 +m(3,3) := j30x + 9*m30*p + + +GENTRANLANG!* := 'FORTRAN$ + + +FORTLINELEN!* := 72$ + + + +GENTRAN LITERAL "C", CR!*, + "C", TAB!*, "*** COMPUTE VALUES FOR MATRIX M ***", CR!*, + "C", CR!*$ + +c +c *** compute values for matrix m *** +c + + +FOR j:=1:3 DO + FOR k:=j:3 DO + GENTRAN M(j,k) ::=: M(j,k)$ + + m(1,1)=18.0*cos(real(q2))*cos(real(q3))*m30*p**2-(sin(real(q3))**2 + . *j30y)+sin(real(q3))**2*j30z-(9.0*sin(real(q3))**2*m30*p**2)+j10y + . +j30y+m10*p**2+18.0*m30*p**2 + m(1,2)=9.0*cos(real(q2))*cos(real(q3))*m30*p**2-(sin(real(q3))**2* + . j30y)+sin(real(q3))**2*j30z-(9.0*sin(real(q3))**2*m30*p**2)+j30y+ + . 9.0*m30*p**2 + m(1,3)=-(9.0*sin(real(q2))*sin(real(q3))*m30*p**2) + m(2,2)=-(sin(real(q3))**2*j30y)+sin(real(q3))**2*j30z-(9.0*sin( + . real(q3))**2*m30*p**2)+j30y+9.0*m30*p**2 + m(2,3)=0.0e+000 + m(3,3)=j30x+9.0*m30*p**2 + + +GENTRAN LITERAL "C", CR!*, + "C", TAB!*, "*** COMPUTE VALUES FOR INVERSE MATRIX ***", + CR!*, + "C", CR!*$ + +c +c *** compute values for inverse matrix *** +c + + +SHARE var$ + + +FOR j:=1:3 DO + FOR k:=j:3 DO + IF M(j,k) NEQ 0 THEN + << + var := TEMPVAR NIL; + MARKVAR var; + M(j,k) := var; + M(k,j) := var; + GENTRAN + EVAL(var) := M(EVAL(j),EVAL(k)) + >>$ + + t0=m(1,1) + t1=m(1,2) + t2=m(1,3) + t3=m(2,2) + t4=m(3,3) + + +COMMENT -- Contents of Matrix M: --$ + +M := M; + + + [t0 t1 t2] + [ ] +m := [t1 t3 0 ] + [ ] + [t2 0 t4] + + + +MATRIX MXINV(3,3)$ + + +MXINV := M**(-1)$ + + + +FOR j:=1:3 DO + FOR k:=j:3 DO + GENTRAN MXINV(j,k) ::=: MXINV(j,k)$ + + mxinv(1,1)=(t3*t4)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + mxinv(1,2)=-(t1*t4)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + mxinv(1,3)=-(t2*t3)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + mxinv(2,2)=(t0*t4-t2**2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + mxinv(2,3)=(t1*t2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + mxinv(3,3)=(t0*t3-t1**2)/(t0*t3*t4-(t1**2*t4)-(t2**2*t3)) + + +GENTRAN + for j:=1:3 do + for k:=j+1:3 do + << + m(k,j) := m(j,k); + mxinv(k,j) := mxinv(j,k) + >>$ + + do 25001 j=1,3 + do 25002 k=j+1,3 + m(k,j)=m(j,k) + mxinv(k,j)=mxinv(j,k) +25002 continue +25001 continue + + +END$ +(TIME: gentran 190 200)