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  1. CForm[Solve[(m31 x1 + m32 y1 + 1) u1 == (m11 x1 + m12 y1 + m13) &&
  2. (m31 x1 + m32 y1 + 1) v1 == (m21 x1 + m22 y1 + m23) &&
  3. (m31 x2 + m32 y2 + 1) u2 == (m11 x2 + m12 y2 + m13) &&
  4. (m31 x2 + m32 y2 + 1) v2 == (m21 x2 + m22 y2 + m23) &&
  5. (m31 x3 + m32 y3 + 1) u3 == (m11 x3 + m12 y3 + m13) &&
  6. (m31 x3 + m32 y3 + 1) v3 == (m21 x3 + m22 y3 + m23) &&
  7. (m31 x4 + m32 y4 + 1) u4 == (m11 x4 + m12 y4 + m13) &&
  8. (m31 x4 + m32 y4 + 1) v4 == (m21 x4 + m22 y4 + m23) &&
  9. (m31 x5 + m32 y5 + 1) u5 == (m11 x5 + m12 y5 + m13) &&
  10. (m31 x5 + m32 y5 + 1) v5 == (m21 x5 + m22 y5 + m23) &&
  11. (m31 x6 + m32 y6 + 1) u6 == (m11 x6 + m12 y6 + m13) &&
  12. (m31 x6 + m32 y6 + 1) v6 == (m21 x6 + m22 y6 + m23) &&
  13. (m31 x7 + m32 y7 + 1) u7 == (m11 x7 + m12 y7 + m13) &&
  14. (m31 x7 + m32 y7 + 1) v7 == (m21 x7 + m22 y7 + m23) &&
  15. (m31 x8 + m32 y8 + 1) u8 == (m11 x8 + m12 y8 + m13) &&
  16. (m31 x8 + m32 y8 + 1) v8 == (m21 x8 + m22 y8 + m23) &&
  17. (m31 x9 + m32 y9 + 1) u9 == (m11 x9 + m12 y9 + m13) &&
  18. (m31 x9 + m32 y9 + 1) v9 == (m21 x9 + m22 y9 + m23) &&
  19. (m31 x10 + m32 y10 + 1) u10 == (m11 x10 + m12 y10 + m13) &&
  20. (m31 x10 + m32 y10 + 1) v10 == (m21 x10 + m22 y10 + m23) &&
  21. dx == x2 - x1 &&
  22. dy == y2 - y1 &&
  23. dx == x4 - x3 &&
  24. dy == y4 - y3 &&
  25. dx == x6 - x5 &&
  26. dy == y6 - y5 &&
  27. dx == x8 - x7 &&
  28. dy == y8 - y7 &&
  29. dx == x10 - x9 &&
  30. dy == y10 - y9
  31. , {dx, dy, m11, m12, m13, m21, m22, m23, m31, m32,
  32. x1, x2, x3, x4, x5, x6, x7, x8, x9, x10,
  33. y1, y2, y3, y4, y5, y6, y7, y8, y9, y10}]]
  34.  
  35. Solve::svars: Equations may not give solutions for all "solve" variables. >>
  36.  
  37. List(List(Rule(dx,-x1 + x2),Rule(dy,(m31*(x1 - x2))/m32),Rule(m11,(m12*m31)/m32),
  38. Rule(m13,m12/m32),Rule(m21,(m22*m31)/m32),Rule(m23,m22/m32),Rule(x4,-x1 + x2 + x3),
  39. Rule(x6,-x1 + x2 + x5),Rule(x8,-x1 + x2 + x7),Rule(x10,-x1 + x2 + x9),
  40. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x2)/m32),Rule(y3,(-1 - m31*x3)/m32),
  41. Rule(y4,(-1 + m31*x1 - m31*x2 - m31*x3)/m32),Rule(y5,(-1 - m31*x5)/m32),
  42. Rule(y6,(-1 + m31*x1 - m31*x2 - m31*x5)/m32),Rule(y7,(-1 - m31*x7)/m32),
  43. Rule(y8,(-1 + m31*x1 - m31*x2 - m31*x7)/m32),Rule(y9,(-1 - m31*x9)/m32),
  44. Rule(y10,(-1 + m31*x1 - m31*x2 - m31*x9)/m32)),
  45. List(Rule(dx,-x1 + x2),Rule(dy,(m31*(x1 - x2))/m32),Rule(m11,0),Rule(m12,0),Rule(m13,0),
  46. Rule(m21,(m22*m31)/m32),Rule(m23,m22/m32),Rule(x4,-x1 + x2 + x3),
  47. Rule(x6,-x1 + x2 + x5),Rule(x8,-x1 + x2 + x7),Rule(x10,-x1 + x2 + x9),
  48. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x2)/m32),Rule(y3,(-1 - m31*x3)/m32),
  49. Rule(y4,(-1 + m31*x1 - m31*x2 - m31*x3)/m32),Rule(y5,(-1 - m31*x5)/m32),
  50. Rule(y6,(-1 + m31*x1 - m31*x2 - m31*x5)/m32),Rule(y7,(-1 - m31*x7)/m32),
  51. Rule(y8,(-1 + m31*x1 - m31*x2 - m31*x7)/m32),Rule(y9,(-1 - m31*x9)/m32),
  52. Rule(y10,(-1 + m31*x1 - m31*x2 - m31*x9)/m32)),
  53. List(Rule(dx,-x1 + x2),Rule(dy,0),Rule(m11,0),Rule(m13,m12/m32),Rule(m21,0),
  54. Rule(m23,m22/m32),Rule(m31,0),Rule(x4,-x1 + x2 + x3),Rule(x6,-x1 + x2 + x5),
  55. Rule(x8,-x1 + x2 + x7),Rule(x10,-x1 + x2 + x9),Rule(y1,-(1/m32)),Rule(y2,-(1/m32)),
  56. Rule(y3,-(1/m32)),Rule(y4,-(1/m32)),Rule(y5,-(1/m32)),Rule(y6,-(1/m32)),
  57. Rule(y7,-(1/m32)),Rule(y8,-(1/m32)),Rule(y9,-(1/m32)),Rule(y10,-(1/m32))),
  58. List(Rule(dx,0),Rule(dy,-y1 + y2),Rule(m12,0),Rule(m13,m11/m31),Rule(m22,0),
  59. Rule(m23,m21/m31),Rule(m32,0),Rule(x1,-(1/m31)),Rule(x2,-(1/m31)),Rule(x3,-(1/m31)),
  60. Rule(x4,-(1/m31)),Rule(x5,-(1/m31)),Rule(x6,-(1/m31)),Rule(x7,-(1/m31)),
  61. Rule(x8,-(1/m31)),Rule(x9,-(1/m31)),Rule(x10,-(1/m31)),Rule(y4,-y1 + y2 + y3),
  62. Rule(y6,-y1 + y2 + y5),Rule(y8,-y1 + y2 + y7),Rule(y10,-y1 + y2 + y9)),
  63. List(Rule(dx,-x1 + x2),Rule(dy,(m31*(x1 - x2))/m32),Rule(m11,0),Rule(m12,0),Rule(m13,0),
  64. Rule(m21,0),Rule(m22,0),Rule(m23,0),Rule(x4,-x1 + x2 + x3),Rule(x6,-x1 + x2 + x5),
  65. Rule(x8,-x1 + x2 + x7),Rule(x10,-x1 + x2 + x9),Rule(y1,(-1 - m31*x1)/m32),
  66. Rule(y2,(-1 - m31*x2)/m32),Rule(y3,(-1 - m31*x3)/m32),
  67. Rule(y4,(-1 + m31*x1 - m31*x2 - m31*x3)/m32),Rule(y5,(-1 - m31*x5)/m32),
  68. Rule(y6,(-1 + m31*x1 - m31*x2 - m31*x5)/m32),Rule(y7,(-1 - m31*x7)/m32),
  69. Rule(y8,(-1 + m31*x1 - m31*x2 - m31*x7)/m32),Rule(y9,(-1 - m31*x9)/m32),
  70. Rule(y10,(-1 + m31*x1 - m31*x2 - m31*x9)/m32)),
  71. List(Rule(dx,-x1 + x2),Rule(dy,0),Rule(m11,0),Rule(m12,0),Rule(m13,0),Rule(m21,0),
  72. Rule(m23,m22/m32),Rule(m31,0),Rule(x4,-x1 + x2 + x3),Rule(x6,-x1 + x2 + x5),
  73. Rule(x8,-x1 + x2 + x7),Rule(x10,-x1 + x2 + x9),Rule(y1,-(1/m32)),Rule(y2,-(1/m32)),
  74. Rule(y3,-(1/m32)),Rule(y4,-(1/m32)),Rule(y5,-(1/m32)),Rule(y6,-(1/m32)),
  75. Rule(y7,-(1/m32)),Rule(y8,-(1/m32)),Rule(y9,-(1/m32)),Rule(y10,-(1/m32))),
  76. List(Rule(dx,0),Rule(dy,-y1 + y2),Rule(m11,0),Rule(m12,0),Rule(m13,0),Rule(m22,0),
  77. Rule(m23,m21/m31),Rule(m32,0),Rule(x1,-(1/m31)),Rule(x2,-(1/m31)),Rule(x3,-(1/m31)),
  78. Rule(x4,-(1/m31)),Rule(x5,-(1/m31)),Rule(x6,-(1/m31)),Rule(x7,-(1/m31)),
  79. Rule(x8,-(1/m31)),Rule(x9,-(1/m31)),Rule(x10,-(1/m31)),Rule(y4,-y1 + y2 + y3),
  80. Rule(y6,-y1 + y2 + y5),Rule(y8,-y1 + y2 + y7),Rule(y10,-y1 + y2 + y9)),
  81. List(Rule(dx,0),Rule(dy,-y1 + y2),Rule(m11,0),Rule(m12,0),Rule(m13,0),Rule(m21,0),
  82. Rule(m22,0),Rule(m23,0),Rule(m32,0),Rule(x1,-(1/m31)),Rule(x2,-(1/m31)),
  83. Rule(x3,-(1/m31)),Rule(x4,-(1/m31)),Rule(x5,-(1/m31)),Rule(x6,-(1/m31)),
  84. Rule(x7,-(1/m31)),Rule(x8,-(1/m31)),Rule(x9,-(1/m31)),Rule(x10,-(1/m31)),
  85. Rule(y4,-y1 + y2 + y3),Rule(y6,-y1 + y2 + y5),Rule(y8,-y1 + y2 + y7),
  86. Rule(y10,-y1 + y2 + y9)),List(Rule(dx,0),Rule(dy,0),
  87. Rule(m13,(m12 + m12*m31*x1 - m11*m32*x1)/m32),
  88. Rule(m23,(m22 + m22*m31*x1 - m21*m32*x1)/m32),Rule(x2,x1),Rule(x3,x1),Rule(x4,x1),
  89. Rule(x5,x1),Rule(x6,x1),Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),Rule(x10,x1),
  90. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x1)/m32),Rule(y3,(-1 - m31*x1)/m32),
  91. Rule(y4,(-1 - m31*x1)/m32),Rule(y5,(-1 - m31*x1)/m32),Rule(y6,(-1 - m31*x1)/m32),
  92. Rule(y7,(-1 - m31*x1)/m32),Rule(y8,(-1 - m31*x1)/m32),Rule(y9,(-1 - m31*x1)/m32),
  93. Rule(y10,(-1 - m31*x1)/m32)),List(Rule(dx,0),Rule(dy,0),Rule(m12,0),
  94. Rule(m13,-(m11*x1)),Rule(m23,(m22 + m22*m31*x1 - m21*m32*x1)/m32),Rule(x2,x1),
  95. Rule(x3,x1),Rule(x4,x1),Rule(x5,x1),Rule(x6,x1),Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),
  96. Rule(x10,x1),Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x1)/m32),
  97. Rule(y3,(-1 - m31*x1)/m32),Rule(y4,(-1 - m31*x1)/m32),Rule(y5,(-1 - m31*x1)/m32),
  98. Rule(y6,(-1 - m31*x1)/m32),Rule(y7,(-1 - m31*x1)/m32),Rule(y8,(-1 - m31*x1)/m32),
  99. Rule(y9,(-1 - m31*x1)/m32),Rule(y10,(-1 - m31*x1)/m32)),
  100. List(Rule(dx,0),Rule(dy,0),Rule(m13,(m12 + m12*m31*x1 - m11*m32*x1)/m32),
  101. Rule(m21,(m11*m22)/m12),Rule(m23,
  102. (m12*m22 + m12*m22*m31*x1 - m11*m22*m32*x1)/(m12*m32)),Rule(x2,x1),Rule(x3,x1),
  103. Rule(x4,x1),Rule(x5,x1),Rule(x6,x1),Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),Rule(x10,x1),
  104. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x1)/m32),Rule(y3,(-1 - m31*x1)/m32),
  105. Rule(y4,(-1 - m31*x1)/m32),Rule(y5,(-1 - m31*x1)/m32),Rule(y6,(-1 - m31*x1)/m32),
  106. Rule(y7,(-1 - m31*x1)/m32),Rule(y8,(-1 - m31*x1)/m32),Rule(y9,(-1 - m31*x1)/m32),
  107. Rule(y10,(-1 - m31*x1)/m32)),List(Rule(dx,0),Rule(dy,0),
  108. Rule(m13,(m11 - m12*m31*y1)/m31),Rule(m23,(m21 - m22*m31*y1)/m31),Rule(m32,0),
  109. Rule(x1,-(1/m31)),Rule(x2,-(1/m31)),Rule(x3,-(1/m31)),Rule(x4,-(1/m31)),
  110. Rule(x5,-(1/m31)),Rule(x6,-(1/m31)),Rule(x7,-(1/m31)),Rule(x8,-(1/m31)),
  111. Rule(x9,-(1/m31)),Rule(x10,-(1/m31)),Rule(y2,y1),Rule(y3,y1),Rule(y4,y1),Rule(y5,y1),
  112. Rule(y6,y1),Rule(y7,y1),Rule(y8,y1),Rule(y9,y1),Rule(y10,y1)),
  113. List(Rule(dx,0),Rule(dy,0),Rule(m11,0),Rule(m12,0),Rule(m13,0),
  114. Rule(m23,(m22 + m22*m31*x1 - m21*m32*x1)/m32),Rule(x2,x1),Rule(x3,x1),Rule(x4,x1),
  115. Rule(x5,x1),Rule(x6,x1),Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),Rule(x10,x1),
  116. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x1)/m32),Rule(y3,(-1 - m31*x1)/m32),
  117. Rule(y4,(-1 - m31*x1)/m32),Rule(y5,(-1 - m31*x1)/m32),Rule(y6,(-1 - m31*x1)/m32),
  118. Rule(y7,(-1 - m31*x1)/m32),Rule(y8,(-1 - m31*x1)/m32),Rule(y9,(-1 - m31*x1)/m32),
  119. Rule(y10,(-1 - m31*x1)/m32)),List(Rule(dx,0),Rule(dy,0),Rule(m12,0),
  120. Rule(m13,-(m11*x1)),Rule(m22,0),Rule(m23,-(m21*x1)),Rule(x2,x1),Rule(x3,x1),
  121. Rule(x4,x1),Rule(x5,x1),Rule(x6,x1),Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),Rule(x10,x1),
  122. Rule(y1,(-1 - m31*x1)/m32),Rule(y2,(-1 - m31*x1)/m32),Rule(y3,(-1 - m31*x1)/m32),
  123. Rule(y4,(-1 - m31*x1)/m32),Rule(y5,(-1 - m31*x1)/m32),Rule(y6,(-1 - m31*x1)/m32),
  124. Rule(y7,(-1 - m31*x1)/m32),Rule(y8,(-1 - m31*x1)/m32),Rule(y9,(-1 - m31*x1)/m32),
  125. Rule(y10,(-1 - m31*x1)/m32)),List(Rule(dx,0),Rule(dy,0),
  126. Rule(m13,(m11 - m12*m31*y1)/m31),Rule(m21,(m11*m22)/m12),
  127. Rule(m23,-((m22*(-m11 + m12*m31*y1))/(m12*m31))),Rule(m32,0),Rule(x1,-(1/m31)),
  128. Rule(x2,-(1/m31)),Rule(x3,-(1/m31)),Rule(x4,-(1/m31)),Rule(x5,-(1/m31)),
  129. Rule(x6,-(1/m31)),Rule(x7,-(1/m31)),Rule(x8,-(1/m31)),Rule(x9,-(1/m31)),
  130. Rule(x10,-(1/m31)),Rule(y2,y1),Rule(y3,y1),Rule(y4,y1),Rule(y5,y1),Rule(y6,y1),
  131. Rule(y7,y1),Rule(y8,y1),Rule(y9,y1),Rule(y10,y1)),
  132. List(Rule(dx,0),Rule(dy,0),Rule(m11,0),Rule(m12,0),Rule(m13,0),Rule(m22,0),
  133. Rule(m23,-(m21*x1)),Rule(x2,x1),Rule(x3,x1),Rule(x4,x1),Rule(x5,x1),Rule(x6,x1),
  134. Rule(x7,x1),Rule(x8,x1),Rule(x9,x1),Rule(x10,x1),Rule(y1,(-1 - m31*x1)/m32),
  135. Rule(y2,(-1 - m31*x1)/m32),Rule(y3,(-1 - m31*x1)/m32),Rule(y4,(-1 - m31*x1)/m32),
  136. Rule(y5,(-1 - m31*x1)/m32),Rule(y6,(-1 - m31*x1)/m32),Rule(y7,(-1 - m31*x1)/m32),
  137. Rule(y8,(-1 - m31*x1)/m32),Rule(y9,(-1 - m31*x1)/m32),Rule(y10,(-1 - m31*x1)/m32)),
  138. List(Rule(dx,0),Rule(dy,0),Rule(m11,0),Rule(m12,0),Rule(m13,0),
  139. Rule(m23,(m21 - m22*m31*y1)/m31),Rule(m32,0),Rule(x1,-(1/m31)),Rule(x2,-(1/m31)),
  140. Rule(x3,-(1/m31)),Rule(x4,-(1/m31)),Rule(x5,-(1/m31)),Rule(x6,-(1/m31)),
  141. Rule(x7,-(1/m31)),Rule(x8,-(1/m31)),Rule(x9,-(1/m31)),Rule(x10,-(1/m31)),Rule(y2,y1),
  142. Rule(y3,y1),Rule(y4,y1),Rule(y5,y1),Rule(y6,y1),Rule(y7,y1),Rule(y8,y1),Rule(y9,y1),
  143. Rule(y10,y1)))
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