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authorSylvain Chiron <chironsylvain@orange.fr>2017-07-01 11:36:41 +0000
committerSylvain Chiron <chironsylvain@orange.fr>2017-07-01 11:36:41 +0000
commitfd733201b82f39655488a286c89142f321ef9dc9 (patch)
treea12c70f213414f69467f666619b1552103f6370e /src/libcola/conjugate_gradient.cpp
parentHackfest icon work: restore selected menu icons and make theming easier (diff)
downloadinkscape-fd733201b82f39655488a286c89142f321ef9dc9.tar.gz
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Updated libs from the Adaptagrams project: libavoid, libcola and libvspc; changed the code to match the new API
Signed-off-by: Sylvain Chiron <chironsylvain@orange.fr>
Diffstat (limited to 'src/libcola/conjugate_gradient.cpp')
-rw-r--r--src/libcola/conjugate_gradient.cpp124
1 files changed, 73 insertions, 51 deletions
diff --git a/src/libcola/conjugate_gradient.cpp b/src/libcola/conjugate_gradient.cpp
index 67d15d6a0..adb7fa67f 100644
--- a/src/libcola/conjugate_gradient.cpp
+++ b/src/libcola/conjugate_gradient.cpp
@@ -1,32 +1,60 @@
-#include <math.h>
-#include <stdlib.h>
-#include <valarray>
-#include <cassert>
-#include "conjugate_gradient.h"
-
/*
-* Authors:
-* Nathan Hurst <njh@njhurst.com>
-* Tim Dwyer <tgdwyer@gmail.com>
-*
-* Copyright (C) 2006 Authors
-*
-* Released under GNU LGPL.
+ * vim: ts=4 sw=4 et tw=0 wm=0
+ *
+ * libcola - A library providing force-directed network layout using the
+ * stress-majorization method subject to separation constraints.
+ *
+ * Copyright (C) 2006 Nathan Hurst <njh@njhurst.com>
+ * Copyright (C) 2006-2008 Monash University
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ * See the file LICENSE.LGPL distributed with the library.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+ *
+ * Author(s): Nathan Hurst
+ * Tim Dwyer
+ *
*/
+
+#include <cmath>
+#include <cstdlib>
+#include <cassert>
+#include <valarray>
+
+#include "libvpsc/assertions.h"
+#include "libcola/commondefs.h"
+#include "libcola/conjugate_gradient.h"
+
/* lifted wholely from wikipedia. Well, apart from the bug in the wikipedia version. */
using std::valarray;
static void
matrix_times_vector(valarray<double> const &matrix, /* m * n */
- valarray<double> const &vec, /* n */
- valarray<double> &result) /* m */
+ valarray<double> const &vec, /* n */
+ valarray<double> &result) /* m */
{
unsigned n = vec.size();
unsigned m = result.size();
- assert(m*n == matrix.size());
+ COLA_ASSERT(m*n == matrix.size());
+# if defined(_MSC_VER)
+ // magmy: The following lines show how operator[] is defined for valarray under MSVC
+ // _Ty valarray<_Ty>::operator[](size_t _Off) const;
+ // _Ty &valarray<_Ty>::operator[](size_t _Off);
+ // As a consequence, it is not possible to take the address of a constant valarray[n].
+ // This looks like a bug in the Microsoft's <valarray> file.
+ // Below is a workaround
+ double const *mp = &const_cast<valarray<double> &>(matrix)[0];
+# else
const double* mp = &matrix[0];
+# endif
for (unsigned i = 0; i < m; i++) {
double res = 0;
for (unsigned j = 0; j < n; j++)
@@ -50,66 +78,60 @@ inner(valarray<double> const &x,
return total;// (x*y).sum(); <- this is more concise, but ineff
}
-void
-conjugate_gradient(double **A,
- double *x,
- double *b,
- unsigned n,
- double tol,
- unsigned max_iterations) {
- valarray<double> vA(n*n);
- valarray<double> vx(n);
- valarray<double> vb(n);
- for(unsigned i=0;i<n;i++) {
- vx[i]=x[i];
- vb[i]=b[i];
- for(unsigned j=0;j<n;j++) {
- vA[i*n+j]=A[i][j];
+double compute_cost(valarray<double> const &A,
+ valarray<double> const &b,
+ valarray<double> const &x,
+ const unsigned n) {
+ // computes cost = 2 b x - x A x
+ double cost = 2. * inner(b,x);
+ valarray<double> Ax(n);
+ for (unsigned i=0; i<n; i++) {
+ Ax[i] = 0;
+ for (unsigned j=0; j<n; j++) {
+ Ax[i] += A[i*n+j]*x[j];
}
}
- conjugate_gradient(vA,vx,vb,n,tol,max_iterations);
- for(unsigned i=0;i<n;i++) {
- x[i]=vx[i];
- }
+ return cost - inner(x,Ax);
}
void
conjugate_gradient(valarray<double> const &A,
- valarray<double> &x,
- valarray<double> const &b,
- unsigned n, double tol,
- unsigned max_iterations) {
+ valarray<double> &x,
+ valarray<double> const &b,
+ unsigned const n, double const tol,
+ unsigned const max_iterations) {
+ //printf("Conjugate Gradient...\n");
valarray<double> Ap(n), p(n), r(n);
matrix_times_vector(A,x,Ap);
r=b-Ap;
double r_r = inner(r,r);
unsigned k = 0;
- tol *= tol;
- while(k < max_iterations && r_r > tol) {
+ double tol_squared = tol*tol;
+#ifdef EXAMINE_COST
+ double previousCost=compute_cost(A,b,x,n),cost;
+#endif
+ while(k < max_iterations && r_r > tol_squared) {
k++;
double r_r_new = r_r;
if(k == 1)
p = r;
else {
r_r_new = inner(r,r);
+ if(r_r_new<tol_squared) break;
p = r + (r_r_new/r_r)*p;
}
matrix_times_vector(A, p, Ap);
double alpha_k = r_r_new / inner(p, Ap);
x += alpha_k*p;
+#ifdef EXAMINE_COST
+ cost=compute_cost(A,b,x,n);
+ printf(" CG[%d] %.15f %.15f\n",k,previousCost,cost);
+ previousCost=cost;
+#endif
r -= alpha_k*Ap;
r_r = r_r_new;
}
+ //printf(" CG finished after %d iterations\n",k);
//printf("njh: %d iters, Linfty = %g L2 = %g\n", k,
//std::max(-r.min(), r.max()), sqrt(r_r));
// x is solution
}
-/*
- Local Variables:
- mode:c++
- c-file-style:"stroustrup"
- c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
- indent-tabs-mode:nil
- fill-column:99
- End:
-*/
-// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=4:softtabstop=4