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Manipulate polynomials over an inner product space.
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mkovaxx/ipoly
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Copyright 2011 Mate J Kovacs Copying and distribution of this file, with or without modification, are permitted in any medium without royalty provided the copyright notice and this notice are preserved. This file is offered as-is, without any warranty. iPoly manipulates polynomials over an inner product space. Say, you're solving the equations of ray-sphere intersection. ray: H + m*I = P sphere: (P - C)^2 = r^2 iPoly can collect the coefficients of m's powers. command: ipoly "(H + m*I - C)^2 - r^2" -t m output: 0 -> C^2 - 2*(C*H) + H^2 - r^2 1 -> 2*(H*I) - 2*(C*I) 2 -> I^2
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