summaryrefslogtreecommitdiff
path: root/agg/inc/agg_simul_eq.h
diff options
context:
space:
mode:
Diffstat (limited to 'agg/inc/agg_simul_eq.h')
-rwxr-xr-xagg/inc/agg_simul_eq.h147
1 files changed, 147 insertions, 0 deletions
diff --git a/agg/inc/agg_simul_eq.h b/agg/inc/agg_simul_eq.h
new file mode 100755
index 000000000000..f52662e82926
--- /dev/null
+++ b/agg/inc/agg_simul_eq.h
@@ -0,0 +1,147 @@
+//----------------------------------------------------------------------------
+// Anti-Grain Geometry - Version 2.3
+// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
+//
+// Permission to copy, use, modify, sell and distribute this software
+// is granted provided this copyright notice appears in all copies.
+// This software is provided "as is" without express or implied
+// warranty, and with no claim as to its suitability for any purpose.
+//
+//----------------------------------------------------------------------------
+// Contact: mcseem@antigrain.com
+// mcseemagg@yahoo.com
+// http://www.antigrain.com
+//----------------------------------------------------------------------------
+//
+// Solving simultaneous equations
+//
+//----------------------------------------------------------------------------
+#ifndef AGG_SIMUL_EQ_INCLUDED
+#define AGG_SIMUL_EQ_INCLUDED
+
+#include <math.h>
+#include "agg_basics.h"
+
+namespace agg
+{
+
+ //=============================================================swap_arrays
+ template<class T> void swap_arrays(T* a1, T* a2, unsigned n)
+ {
+ unsigned i;
+ for(i = 0; i < n; i++)
+ {
+ T tmp = *a1;
+ *a1++ = *a2;
+ *a2++ = tmp;
+ }
+ }
+
+
+ //============================================================matrix_pivot
+ template<unsigned Rows, unsigned Cols>
+ struct matrix_pivot
+ {
+ static int pivot(double m[Rows][Cols], unsigned row)
+ {
+ int k = int(row);
+ double max_val, tmp;
+
+ max_val = -1.0;
+ unsigned i;
+ for(i = row; i < Rows; i++)
+ {
+ if((tmp = fabs(m[i][row])) > max_val && tmp != 0.0)
+ {
+ max_val = tmp;
+ k = i;
+ }
+ }
+
+ if(m[k][row] == 0.0)
+ {
+ return -1;
+ }
+
+ if(k != int(row))
+ {
+ swap_arrays(m[k], m[row], Cols);
+ return k;
+ }
+ return 0;
+ }
+ };
+
+
+
+ //===============================================================simul_eq
+ template<unsigned Size, unsigned RightCols>
+ struct simul_eq
+ {
+ static bool solve(const double left[Size][Size],
+ const double right[Size][RightCols],
+ double result[Size][RightCols])
+ {
+ unsigned i, j, k;
+ double a1;
+
+ double tmp[Size][Size + RightCols];
+
+ for(i = 0; i < Size; i++)
+ {
+ for(j = 0; j < Size; j++)
+ {
+ tmp[i][j] = left[i][j];
+ }
+ for(j = 0; j < RightCols; j++)
+ {
+ tmp[i][Size + j] = right[i][j];
+ }
+ }
+
+ for(k = 0; k < Size; k++)
+ {
+ if(matrix_pivot<Size, Size + RightCols>::pivot(tmp, k) < 0)
+ {
+ return false; // Singularity....
+ }
+
+ a1 = tmp[k][k];
+
+ for(j = k; j < Size + RightCols; j++)
+ {
+ tmp[k][j] /= a1;
+ }
+
+ for(i = k + 1; i < Size; i++)
+ {
+ a1 = tmp[i][k];
+ for (j = k; j < Size + RightCols; j++)
+ {
+ tmp[i][j] -= a1 * tmp[k][j];
+ }
+ }
+ }
+
+
+ for(k = 0; k < RightCols; k++)
+ {
+ int m;
+ for(m = int(Size - 1); m >= 0; m--)
+ {
+ result[m][k] = tmp[m][Size + k];
+ for(j = m + 1; j < Size; j++)
+ {
+ result[m][k] -= tmp[m][j] * result[j][k];
+ }
+ }
+ }
+ return true;
+ }
+
+ };
+
+
+}
+
+#endif