HDK: UT/UT_MatrixResultant.h Source File

00001 /*
00002  * PROPRIETARY INFORMATION.  This software is proprietary to
00003  * Side Effects Software Inc., and is not to be reproduced,
00004  * transmitted, or disclosed in any way without written permission.
00005  *
00006  * Produced by:
00007  *      Jeff Lait
00008  *      Side Effects
00009  *      477 Richmond Street West
00010  *      Toronto, Ontario
00011  *      Canada   M5V 3E7
00012  *      416-504-9876
00013  *
00014  * NAME:        Matrix Resultant (C++)
00015  *
00016  * COMMENTS: Calculates resultant matrices from descriptions
00017  *      of the original polynomials.
00018  *
00019  */
00020 
00021 #ifndef __UT_MatrixResultant_H__
00022 #define __UT_MatrixResultant_H__
00023 
00024 #include "UT_API.h"
00025 #include "UT_Assert.h"
00026 
00027 #include "UT_Vector.h"
00028 class UT_Matrix;
00029 
00030 class UT_API UT_MatrixResultant 
00031 {
00032 public:
00033     // Finds dixon's resultant for tensor product polynomials,
00034     // resulting degree is 2*m*n.
00035     // A, B, and C are matrices vdeg+1 by udeg+1, starting at 1,1
00036     void DixonTP3(UT_Matrix &coeff, const UT_Matrix &A,
00037                 const UT_Matrix &B, const UT_Matrix &C) const;
00038 
00039     // Calculates Cayley's form of Bezout's resultant for two 
00040     // univariate polynomials.
00041     // F & G are vectors from 0 to deg (inclusive).
00042     void Cayley2(UT_Matrix &coeff, const UT_Vector &F,
00043                     const UT_Vector &G) const;
00044 };
00045 
00046 #endif