adding arytmetic operations to heat maps and persistence vectors. Now any representation for which arythmetic operations make sense have them defined. This can be used for interpolation and extrapolation (among many others).

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5 files changed, 3082 insertions, 0 deletions

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diff --git a/src/Gudhi_stat/test/data/heat_map_multiply_by_scalar b/src/Gudhi_stat/test/data/heat_map_multiply_by_scalar
new file mode 100644
index 00000000..6faf3e3d
--- /dev/null
+++ b/src/Gudhi_stat/test/data/heat_map_multiply_by_scalar
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diff --git a/src/Gudhi_stat/test/data/heat_map_sum b/src/Gudhi_stat/test/data/heat_map_sum
new file mode 100644
index 00000000..e3557fd8
--- /dev/null
+++ b/src/Gudhi_stat/test/data/heat_map_sum
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0.00018607 0.000220542 0.000259115 0.000301772 0.000348377 0.000398658 0.000452203 0.000508447 0.000566678 0.000626044 0.000685565 0.000746182 0.000803309 0.000857322 0.000907064 0.000951429 0.000989403 0.00102011 0.00104413 0.00105875 0.00106471 0.00106196 0.00105072 0.00103142 0.00100719 0.000974633 0.000937118 0.000894935 0.000849618 0.000802349 0.000754279 0.00070649 0.000659958 0.000615525 0.000573881 0.000535553 0.000500898 0.000470109 0.000443226 0.00042015 0.000400661 0.000384443 0.000371908 0.000361249 0.000352619 0.000352778 0.000348979 0.000345615 0.000344148 0.000343334 0.000343013 0.000340123 0.000347229 0.000354773 0.000363121 0.000372666 0.000383811 0.000396954 0.00041247 0.000430693 0.000451892 0.000476256 0.000503871 0.000534707 0.000568602 0.000605259 0.000644241 0.000684972 0.000726751 0.000768768 0.000810123 0.000849857 0.000885444 0.00091936 0.000948669 0.000972528 0.00099123 0.00100244 0.00102179 0.00102211 0.00101741 0.00100678 0.000990801 0.000970257 0.000946084 0.00091745 0.000889763 0.000861382 0.000834327 0.000809264 0.000787229 0.000769107 0.000757613 0.000749793 0.00074745 0.000750604 0.000759025 0.000772248 0.00078959 0.000810181 0.000833001 0.000856924 0.000880765 0.000902719 0.000923007 0.000963142 0.000976942 0.000994131 0.0010073 0.00101649 0.00102197 0.00102423 0.00101562 0.00101567 0.00101452 0.00101327 0.001013 0.00101476 0.00101945 0.00102781 0.00104036 0.00105738 0.00107888 0.00110456 0.00113387 0.00116597 0.00119983 0.00123418 0.00126766 0.00129881 0.00132616 0.00134832 0.00136398 0.00137206 0.00137165 0.00136215 0.00134322 0.00131408 0.00127673 0.0012191 0.00116809 0.00110965 0.00104507 0.000975766 0.000903186 0.000828762 0.000753867 0.000679773 0.000607619 0.00053838 0.000472861 0.000411678 0.000355271 0.000302362 0.000256513 0.000215691 0.000206904 0.000183771 0.000167027 0.000156696 0.000152806 0.000155401 0.000164546 0.000180322 0.00020282 0.000239357 0.000259877 0.000309993 0.000366589 0.000429793 0.000499573 0.000575717 0.000657806 0.000745205 0.000837056 0.000932278 0.00102958 0.00112749 0.00122438 0.00131852 0.00140811 0.00149136 0.00156655 0.00163205 0.00168645 0.00173296 0.00176316 0.00177986 0.00178284 0.00177224 0.00174852 0.00171246 0.00166513 0.00160784 0.00154208 0.00146946 0.0013917 0.00131048 0.00122746 0.0011442 0.00106212 0.000982468 0.000906272 0.000834357 0.000767324 0.00070555 0.000649206 0.000598275 0.000552574 0.000511784 0.000475483 0.000443174 0.000414318 0.000388363 0.000364772 0.000343041 0.00032272 0.000282724 0.000269194 0.000255011 0.000240236 0.000224967 0.000209329 0.000193473 0.000177565 0.00016178 0.000140777 0.000127098 0.000113732 0.000100871 8.86732e-05 7.72603e-05 6.67206e-05 5.71088e-05 4.84491e-05 4.07388e-05 3.39523e-05 2.8046e-05 2.29621e-05 1.86334e-05 1.49869e-05 1.19474e-05 9.44001e-06 7.39285e-06 5.7384e-06 4.41478e-06 0 0 0 0 
diff --git a/src/Gudhi_stat/test/persistence_heat_maps_test.cpp b/src/Gudhi_stat/test/persistence_heat_maps_test.cpp
index e46e45d3..d1f4da76 100644
--- a/src/Gudhi_stat/test/persistence_heat_maps_test.cpp
+++ b/src/Gudhi_stat/test/persistence_heat_maps_test.cpp
@@ -235,3 +235,31 @@ BOOST_AUTO_TEST_CASE(check_scalar_products_for_heat_maps)
 	BOOST_CHECK( fabs( r.compute_scalar_product( r ) - 0.672907)< 0.0005);
 	
 }
+
+
+
+BOOST_AUTO_TEST_CASE(check_arythmetic_operations_for_heat_maps) 
+{
+	std::vector< std::vector<double> > filter = create_Gaussian_filter(30,1);	
+	Persistence_heat_maps<constant_scaling_function> p( "data/file_with_diagram" , filter , false , 1000 , 0 , 1 );
+	Persistence_heat_maps<constant_scaling_function> q( "data/file_with_diagram_1" , filter , false , 1000 , 0 , 1 );
+	
+	Persistence_heat_maps<constant_scaling_function> sum = p + q;
+	Persistence_heat_maps<constant_scaling_function> difference = p - q;
+	Persistence_heat_maps<constant_scaling_function> multiply_by_scalar = 2*p;
+	
+	//sum.print_to_file( "sum" );
+	//difference.print_to_file( "difference" );
+	//multiply_by_scalar.print_to_file( "multiply_by_scalar" );		
+	
+	Persistence_heat_maps<constant_scaling_function> sum_template;
+	sum_template.load_from_file( "data/heat_map_sum" );
+	Persistence_heat_maps<constant_scaling_function> difference_template;
+	difference_template.load_from_file( "data/heat_map_difference" );
+	Persistence_heat_maps<constant_scaling_function> multiply_by_scalar_template;
+	multiply_by_scalar_template.load_from_file( "data/heat_map_multiply_by_scalar" );
+	
+	BOOST_CHECK( sum == sum_template );
+	
+}
+
diff --git a/src/Gudhi_stat/test/vector_representation_test.cpp b/src/Gudhi_stat/test/vector_representation_test.cpp
index 2131ed29..40409205 100644
--- a/src/Gudhi_stat/test/vector_representation_test.cpp
+++ b/src/Gudhi_stat/test/vector_representation_test.cpp
@@ -352,3 +352,54 @@ BOOST_AUTO_TEST_CASE(check_compute_average)
 }
 
 
+	
+BOOST_AUTO_TEST_CASE(check_arythmetic_operations) 
+{	
+	//compute average 
+	std::vector< std::pair<double,double> > i1(3);
+	i1[0] = std::pair<double,double>( 1,2 );
+	i1[1] = std::pair<double,double>( 3,8 );
+	i1[2] = std::pair<double,double>( 1,6 );
+	
+	std::vector< std::pair<double,double> > i2(3);
+	i2[0] = std::pair<double,double>( 2,9 );
+	i2[1] = std::pair<double,double>( 2,15);
+	i2[2] = std::pair<double,double>( 6,17 );
+	
+	Vector_distances_in_diagram< Euclidean_distance<double> > A( i1 , -1 );
+	Vector_distances_in_diagram< Euclidean_distance<double> > B( i1 , -1 );
+	
+	Vector_distances_in_diagram< Euclidean_distance<double> > sum = A+B;
+	Vector_distances_in_diagram< Euclidean_distance<double> > difference = A-B;
+		
+	BOOST_CHECK( almost_equal( sum.vector_in_position(0) , 7.07107) );
+	BOOST_CHECK( almost_equal( sum.vector_in_position(1) , 7.07107) );
+	BOOST_CHECK( almost_equal( sum.vector_in_position(2) , 5.65685) );
+	BOOST_CHECK( almost_equal( sum.vector_in_position(3) , 1.41421) );
+	BOOST_CHECK( almost_equal( sum.vector_in_position(4) , 1.41421) );
+	BOOST_CHECK( almost_equal( sum.vector_in_position(5) , 1.41421) );
+	
+	BOOST_CHECK( almost_equal( difference.vector_in_position(0) , 0) );
+	BOOST_CHECK( almost_equal( difference.vector_in_position(1) , 0) );
+	BOOST_CHECK( almost_equal( difference.vector_in_position(2) , 0) );
+	BOOST_CHECK( almost_equal( difference.vector_in_position(3) , 0) );
+	BOOST_CHECK( almost_equal( difference.vector_in_position(4) , 0) );
+	BOOST_CHECK( almost_equal( difference.vector_in_position(5) , 0) );
+	
+	Vector_distances_in_diagram< Euclidean_distance<double> > prod = 2.*A;
+	BOOST_CHECK( almost_equal( prod.vector_in_position(0) , 7.07107) );
+	BOOST_CHECK( almost_equal( prod.vector_in_position(1) , 7.07107) );
+	BOOST_CHECK( almost_equal( prod.vector_in_position(2) , 5.65685) );
+	BOOST_CHECK( almost_equal( prod.vector_in_position(3) , 1.41421) );
+	BOOST_CHECK( almost_equal( prod.vector_in_position(4) , 1.41421) );
+	BOOST_CHECK( almost_equal( prod.vector_in_position(5) , 1.41421) );
+	
+	Vector_distances_in_diagram< Euclidean_distance<double> > prod1 = A*2;
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(0) , 7.07107) );
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(1) , 7.07107) );
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(2) , 5.65685) );
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(3) , 1.41421) );
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(4) , 1.41421) );
+	BOOST_CHECK( almost_equal( prod1.vector_in_position(5) , 1.41421) );
+	
+}