Add spec2, which gives eigenvalues and eigenvectors of a matrix

1 files changed, 146 insertions, 0 deletions

diff --git a/src/matrixOperations/spec2/testFloatSpec2.c b/src/matrixOperations/spec2/testFloatSpec2.c
new file mode 100644
index 00000000..b8b4bbb6
--- /dev/null
+++ b/src/matrixOperations/spec2/testFloatSpec2.c
@@ -0,0 +1,146 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ *  This file must be used under the terms of the CeCILL.
+ *  This source file is licensed as described in the file COPYING, which
+ *  you should have received as part of this distribution.  The terms
+ *  are also available at
+ *  http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+ 
+ 
+#include "spec.h" 
+#include "stdio.h"
+#include "assert.h"
+#include "math.h"
+
+static void sspec2aTest(void){
+	float in[4]={1.0f,1.0f,1.0f,3.0f};
+	float resultValuesR[4]={0.5857864376269050765700f,0,0,3.4142135623730949234300f};
+	float resultValuesI[4]={0.0f,0.0f,0.0f,0.0f};
+	float resultVectorsR[4]={- 0.9238795325112867384831f,0.3826834323650897817792f,
+	0.3826834323650897817792f,0.9238795325112867384831f};
+	float resultVectorsI[4]={0.0f,0.0f,0.0f,0.0f};
+	
+	float in2[4]={1.0f,1.0f,-2.0f,3.0f};
+	float resultValues2R[4]={1.9999999999999997779554f,0,0,1.9999999999999997779554f};
+	float resultValues2I[4]={0.9999999999999997779554f,0,0,-0.9999999999999997779554f};
+	float resultVectors2R[4]={0.8164965809277261454824f,- 0.4082482904638631282523f,
+	0.8164965809277261454824f,- 0.4082482904638631282523f};
+	float resultVectors2I[4]={0,- 0.4082482904638629062077f,0,0.4082482904638629062077f};
+	floatComplex eigenvalues[4],eigenvectors[4];
+
+	int i;
+		
+	sspec2a(in,2,eigenvalues,eigenvectors);
+
+	for(i=0;i<4;i++){
+		if (creals(eigenvalues[i])>1e-6)  assert( fabs(creals(eigenvalues[i])-resultValuesR[i]) / fabs(creals(eigenvalues[i])) <1e-16);
+		else assert(1);
+		if (cimags(eigenvalues[i])>1e-6)  assert( fabs(cimags(eigenvalues[i])-resultValuesI[i]) / fabs(cimags(eigenvalues[i])) <1e-16);
+		else assert(1);
+	}
+	for(i=0;i<4;i++){
+		if (creals(eigenvectors[i])>1e-6)  assert( fabs(creals(eigenvectors[i])-resultVectorsR[i]) / fabs(creals(eigenvectors[i])) <1e-16);
+		else assert(1);
+		if (cimags(eigenvectors[i])>1e-6)  assert( fabs(cimags(eigenvectors[i])-resultVectorsI[i]) / fabs(cimags(eigenvectors[i])) <1e-16);
+		else assert(1);
+	}
+	
+	
+	sspec2a(in2,2,eigenvalues,eigenvectors);
+	
+
+	
+	for(i=0;i<4;i++){
+		if (creals(eigenvalues[i])>1e-6)  assert( fabs(creals(eigenvalues[i])-resultValues2R[i]) / fabs(creals(eigenvalues[i])) <1e-16);
+		else assert(1);
+		if (cimags(eigenvalues[i])>1e-6)  assert( fabs(cimags(eigenvalues[i])-resultValues2I[i]) / fabs(cimags(eigenvalues[i])) <1e-16);
+		else assert(1);
+	}
+	for(i=0;i<4;i++){
+		if (creals(eigenvectors[i])>1e-6)  assert( fabs(creals(eigenvectors[i])-resultVectors2R[i]) / fabs(creals(eigenvectors[i])) <1e-16);
+		else assert(1);
+		if (cimags(eigenvectors[i])>1e-6)  assert( fabs(cimags(eigenvectors[i])-resultVectors2I[i]) / fabs(cimags(eigenvectors[i])) <1e-16);
+		else assert(1);
+	}
+}
+
+
+
+	
+static void cspec2aTest(void){
+	float inR[4]={1.0f,1.0f,1.0f,3.0f};	
+	float inI[4]={0.0f,0.0f,0.0f,0.0f};
+	float resultValuesR[4]={0.5857864376269050765700f,0,0,3.4142135623730949234300f};
+	float resultValuesI[4]={0,0,0,0};
+	float resultVectorsR[4]={- 0.9238795325112867384831f,0.3826834323650897817792f,
+	0.3826834323650897817792f,0.9238795325112867384831f};
+	float resultVectorsI[4]={0,0,0,0};
+	
+	float in2R[4]={1.0f,1.0f,-2.0f,3.0f};
+	float in2I[4]={0.0f,0.0f,0.0f,0.0f};
+	float resultValues2R[4]={1.9999999999999997779554f,0,0,1.9999999999999997779554f};
+	float resultValues2I[4]={0.9999999999999997779554f,0,0,-0.9999999999999997779554f};
+	float resultVectors2R[4]={0.8164965809277261454824f,- 0.4082482904638631282523f,
+	0.8164965809277261454824f,- 0.4082482904638631282523f};
+	float resultVectors2I[4]={0,- 0.4082482904638629062077f,0,0.4082482904638629062077f};
+	
+	floatComplex *in,*in2,out1[4],out2[4];
+	
+	int i;
+	
+	in=FloatComplexMatrix(inR,inI,4);
+	in2=FloatComplexMatrix(in2R,in2I,4);
+	
+	cspec2a(in,2,out1,out2);
+	for(i=0;i<4;i++){
+		if (creals(out1[i])>1e-16)  assert( fabs(creals(out1[i])-resultValuesR[i]) / fabs(creals(out1[i])) <1e-15);
+		else assert(1);
+		if (cimags(out1[i])>1e-16)  assert( fabs(cimags(out1[i])-resultValuesI[i]) / fabs(cimags(out1[i])) <1e-16);
+		else assert(1);
+	}
+	for(i=0;i<4;i++){
+		if (creals(out2[i])>1e-16)  assert( fabs(creals(out2[i])-resultVectorsR[i]) / fabs(creals(out2[i])) <1e-15);
+		else assert(1);
+		if (cimags(out2[i])>1e-16)  assert( fabs(cimags(out2[i])-resultVectorsI[i]) / fabs(cimags(out2[i])) <1e-16);
+		else assert(1);
+	}
+	
+	
+	cspec2a(in2,2,out1,out2);	
+	for(i=0;i<4;i++){
+		if (creals(out1[i])>1e-16)  assert( fabs(creals(out1[i])-resultValues2R[i]) / fabs(creals(out1[i])) <1e-15);
+		else assert(1);
+		if (cimags(out1[i])>1e-16)  assert( fabs(cimags(out1[i])-resultValues2I[i]) / fabs(cimags(out1[i])) <1e-15);
+		else assert(1);
+	}	
+	for(i=0;i<4;i++){
+		if (creals(out2[i])>1e-16)  assert( fabs(creals(out2[i])-resultVectors2R[i]) / fabs(creals(out2[i])) <1e-15);
+		else assert(1);
+		if (cimags(out2[i])>1e-16)  assert( fabs(cimags(out2[i])-resultVectors2I[i]) / fabs(cimags(out2[i])) <1e-16);
+		else assert(1);
+	}
+}
+
+
+
+
+static int testSpec2(void){
+	printf(">>> Float Spec2 Tests <<<\n");
+	printf(">>> Float <<<\n");
+	sspec2aTest();
+	printf(">>> FloatComplex <<<\n");
+	cspec2aTest();
+	return 0;
+}
+
+
+int main(void){
+	assert (testSpec2()==0);
+
+	
+	return 0;
+}