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[tools/medcoupling.git] / src / MEDCoupling_Swig / MEDCouplingRemapperTest.py
index e5c50edb1b8337050a98bfd7c7a83d92180f63de..49ff6b9e305735d66cce4f8d88f80ce4bca12602 100644 (file)
@@ -1,5 +1,5 @@
 #  -*- coding: iso-8859-1 -*-
-# Copyright (C) 2007-2016  CEA/DEN, EDF R&D
+# Copyright (C) 2007-2020  CEA/DEN, EDF R&D
 #
 # This library is free software; you can redistribute it and/or
 # modify it under the terms of the GNU Lesser General Public
@@ -806,8 +806,8 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         vals*=1e-5
         eps0=DataArrayDouble(m0.data)-vals ; eps0.abs()
         self.assertTrue(eps0.findIdsInRange(1e-17,1e300).empty())
-        self.assertTrue(DataArrayInt(m0.indices).isEqual(DataArrayInt([0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27])))
-        self.assertTrue(DataArrayInt(m0.indptr).isEqual(DataArrayInt([0,3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,102,105,108,111,114,117,120,123,126,129,132,135,138,141,144,147,150,153,156,159,162,165,168,171,174,177,180,183,186,189,192,195,198,201,204,207,210,213,216,219,222,225,228,231,234,237,240,243,246,249,252,255,258,261,264,267,270,273,276,279,282,285,288,291,294,297,300,303,306,309,312])))
+        self.assertTrue(DataArrayInt32(m0.indices).isEqual(DataArrayInt32([0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,2,3,1,3,5,4,5,7,6,7,9,8,9,11,10,11,13,12,13,15,14,15,17,16,17,19,18,19,21,20,21,23,22,23,25,24,25,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27,0,1,3,1,4,5,4,6,7,6,8,9,8,10,11,10,12,13,12,14,15,14,16,17,16,18,19,18,20,21,20,22,23,22,24,25,24,26,27])))
+        self.assertTrue(DataArrayInt32(m0.indptr).isEqual(DataArrayInt32([0,3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,102,105,108,111,114,117,120,123,126,129,132,135,138,141,144,147,150,153,156,159,162,165,168,171,174,177,180,183,186,189,192,195,198,201,204,207,210,213,216,219,222,225,228,231,234,237,240,243,246,249,252,255,258,261,264,267,270,273,276,279,282,285,288,291,294,297,300,303,306,309,312])))
         #
         rem2=MEDCouplingRemapper() ; rem2.setIntersectionType(Barycentric)
         rem2.prepare(b,a,"P0P1")
@@ -839,7 +839,7 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         rem.setMinDotBtwPlane3DSurfIntersect(0.99)# this line is important it is to tell to remapper to select only cells with very close orientation
         rem.prepare(skinAndNonConformCells,skinAndNonConformCells,"P0P0")
         mat=rem.getCrudeCSRMatrix()
-        indptr=DataArrayInt(mat.indptr)
+        indptr=DataArrayInt32(mat.indptr) #not depend on MEDCouplingUse64BitIDs()
         indptr2=indptr.deltaShiftIndex()
         cellIdsOfNonConformCells=indptr2.findIdsNotEqual(1)
         cellIdsOfSkin=indptr2.findIdsEqual(1)
@@ -955,7 +955,7 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         m=rem.getCrudeCSRMatrix()
         row=array([1,1,2,2,3,3])
         col=array([0,1,1,2,5,6])
-        data=array([0.9,0.1,0.3,0.7,0.5,0.5])
+        data=array([1.8,0.2,0.6,1.4,1.0,1.0])
         mExp2=csr_matrix((data,(row,col)),shape=(5,11))
         diff=abs(m-mExp2)
         self.assertAlmostEqual(diff.sum(),0.,14)
@@ -998,8 +998,10 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         self.assertEqual(rem.getCrudeMatrix(),[{0: 1.0}, {1: 1.0}])
         rem2=MEDCouplingRemapper()
         rem2.setIntersectionType(PointLocator)
-        rem2.prepare(mt,ms,"P0P0") # reverse mt<->ms
-        self.assertEqual(rem2.getCrudeMatrix(),[{0: 1.0}, {1: 1.0}])
+        ##
+        # 2D to 3D with point locator does not make sense:
+        ##
+        self.assertRaises(InterpKernelException, rem2.prepare,mt,ms,"P0P0")
         pass
 
     def test2D1Dand1D2DPointLocator1(self):
@@ -1082,6 +1084,52 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         self.assertTrue(ftrg.isEqual(ftrg2,1e-12,1e-12))
         pass
 
+    def testPointLocator2D2DNonConvexPolygons(self):
+        """ PointLocator remapper now correclty support non-convex polygons
+        """
+        src = MEDCouplingUMesh('src', 2)
+        coo = DataArrayDouble([(6,1),(6,2),(4,2),(4,3),(3,3),(3,4),(2,4),(2,6),(1,6),(1,8),(2,8),(2,9),(3,9),(3,8),(4,8),(4,9),(5,9),(5,8),
+          (6,8),(6,9),(7,9),(7,8),(8,8),(8,9),(9,9),(9,8),(10,8),(10,9),(11,9),(11,8),(12,8),(12,9),(13,9),(13,8),
+          (14,8),(14,9),(15,9),(15,8),(16,8),(16,6),(15,6),(15,4),(14,4),(14,3),(13,3),(13,2),(11,2),(11,1),(16,11),
+          (15,11),(15,13),(14,13),(14,14),(13,14),(13,15),(11,15),(11,16),(6,16),(6,15),(4,15),(4,14),(3,14),(3,13),(2,13),
+          (2,11),(1,11)])
+        src.setCoords(coo)
+        c = DataArrayInt([5, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
+         31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+         21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+         60, 61, 62, 63, 64, 65])
+        cI = DataArrayInt([0, 49, 98])
+        src.setConnectivity(c, cI)
+        src.checkConsistency()
+        tgt = MEDCouplingCMesh('tgt')
+        da = DataArrayDouble(18, 1); da.iota();
+        tgt.setCoords(da, da)
+        tgt = tgt.buildUnstructured()
+        srcF = MEDCouplingFieldDouble(ON_CELLS, ONE_TIME)
+        srcF.setArray(DataArrayDouble([25.,50.]))
+        srcF.setMesh(src)
+        srcF.setNature(IntensiveConservation)
+        remap = MEDCouplingRemapper()
+        remap.setIntersectionType(PointLocator)
+        remap.prepare(src, tgt, "P0P0")
+        tgtF = remap.transferField(srcF, 0.0)
+        ids1 = [137, 139, 141, 143, 145, 147, 149, 151, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 171, 172,
+        173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200,
+        201, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 242,
+        243, 244, 245, 246, 247, 248, 249, 250, 261, 262, 263, 264, 265]
+        ids2 = [23, 24, 25, 26, 27, 38, 39, 40, 41, 42, 43, 44, 45, 46, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 70, 71, 72, 73, 74, 75, 76,
+           77, 78, 79, 80, 81, 82, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
+           114, 115, 116, 117, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 138, 140, 142, 144, 146, 148, 150]
+        ids3 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 47, 48,
+                49, 50, 51, 52, 53, 65, 66, 67, 68, 69, 83, 84, 85, 86, 100, 101, 102, 118, 119, 135, 136, 152, 153, 169, 170, 186, 187, 188, 202, 203,
+                204, 205, 219, 220, 221, 222, 223, 235, 236, 237, 238, 239, 240, 241, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 266, 267, 268,
+                269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288]
+        a = tgtF.getArray()
+        self.assertTrue(a[ids1].isUniform(50.0, 1e-12))
+        self.assertTrue(a[ids2].isUniform(25.0, 1e-12))
+        self.assertTrue(a[ids3].isUniform(0.0, 1e-12))
+        pass
+
     def testExtrudedOnDiffZLev1(self):
         """Non regression bug : This test is base on P0P0 ExtrudedExtruded. This test checks that if the input meshes are not based on a same plane // OXY the interpolation works"""
         arrX=DataArrayDouble([0,1]) ; arrY=DataArrayDouble([0,1]) ; arrZ=DataArrayDouble([0,1,2])
@@ -1155,7 +1203,7 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         self.assertEqual(1, len(rmp.getCrudeMatrix()[0]))
         pass
 
-    @unittest.skipUnless(MEDCouplingHasNumPyBindings() and MEDCouplingHasSciPyBindings() and IsCXX11Compiled(),"requires numpy AND scipy AND C++11")
+    @unittest.skipUnless(MEDCouplingHasNumPyBindings() and MEDCouplingHasSciPyBindings(),"requires numpy AND scipy AND C++11")
     def testP1P1PL3DSpaceFrom1DTo0D(self):
         from scipy.sparse import csr_matrix
         from numpy import array
@@ -1192,7 +1240,7 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         rem.setIntersectionType(PointLocator)
         self.assertEqual(rem.prepare(src,trg,"P1P1"),1)
         mat=rem.getCrudeCSRMatrix()
-        row=array([2,2, 3,3, 0,0, 1,1]) # here ref to target point 3 
+        row=array([2,2, 3,3, 0,0, 1,1]) # here ref to target point 3
         col=array([1,2, 1,2, 1,2, 1,2])
         data=array([0.1,0.9, 0.3,0.7, 0.5,0.5, 0.8,0.2])
         mExp2=csr_matrix((data,(row,col)),shape=(4,3))
@@ -1278,14 +1326,183 @@ class MEDCouplingBasicsTest(unittest.TestCase):
         rem2.setCrudeMatrix(ms,mt,"P0P0",mat)
         self.assertTrue(rem2.transferField(fs,1e300).getArray().isEqual(DataArrayDouble([54.25,11.75,79.25,16.75]),1e-12))
         pass
-        
+
+    def testSmallTetraCell(self):
+        """This test is a non regression test. When using tetra/tetra P0P0 interpolation on very small cells the
+        3x3 matrix in the TetraAffine contains very small values and so the determinant is small (cubic).
+        So the tetra was detected as flat. Now the infinite norm of matrix is considered to establish if matrix is inversible or not."""
+        coords = [(-0.019866666666666668, 0.02, 0.002), (-0.020000073463967143, 0.019999926535763005, 0.0018666666666666673), (-0.020000073463967143, 0.019999926535763005, 0.002), (-0.020000072974206463, 0.019866593202430387, 0.002)]
+        m=MEDCouplingUMesh("mesh",3)
+        m.allocateCells()
+        m.insertNextCell(NORM_TETRA4,[0,1,2,3])
+        m.setCoords(DataArrayDouble(coords))
+        rem=MEDCouplingRemapper()
+        rem.setPrecision(1e-12)
+        rem.prepare(m,m,"P0P0")
+        mat=rem.getCrudeMatrix()
+        self.assertTrue(len(mat)==1)
+        self.assertTrue(len(mat[0])==1)
+        self.assertTrue(list(mat[0].keys())==[0])
+        res=list(mat[0].values())[0]
+        ref=float(m.getMeasureField(True).getArray())
+        self.assertTrue(abs(res-ref)/ref<1e-12)
+        pass
+
+    def test3D0DPointLocator(self):
+        """
+        For pointlocator fans, Remapper support following intersection
+        IntersectionType == PointLocator
+        - source == 3D
+        - target == 0D
+        """
+        src = MEDCouplingUMesh("src",3)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([(0,0,0),(1,0,0),(0,1,0),(0,0,1)]) )
+        src.insertNextCell(NORM_TETRA4,[0,1,2,3])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([(0.4,0.3,0.07)]) )
+        # P1P1
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.23,1:0.4,2:0.3,3:0.07}],src.getNumberOfNodes(),1e-12)
+        # P1P0
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P0")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.23,1:0.4,2:0.3,3:0.07}],src.getNumberOfNodes(),1e-12)
+        # P0P1
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P0P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:1.0}],src.getNumberOfCells(),1e-12)
+        # P0P0
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P0P0")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:1.0}],src.getNumberOfCells(),1e-12)
+        pass
+
+    def test2D0DPointLocator(self):
+        """
+        For pointlocator fans, Remapper support following intersection
+        IntersectionType == PointLocator
+        - source == 2D
+        - target == 0D
+        """
+        src = MEDCouplingUMesh("src",2)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([(0,0),(1,0),(0,1)]) )
+        src.insertNextCell(NORM_TRI3,[0,1,2])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([(0.4,0.3)]) )
+        # P1P1
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.3,1:0.4,2:0.3}],src.getNumberOfNodes(),1e-12)
+        # P1P0
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P0")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.3,1:0.4,2:0.3}],src.getNumberOfNodes(),1e-12)
+        # P0P1
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P0P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:1.0}],src.getNumberOfNodes(),1e-12)
+        # P0P0
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P0P0")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:1.0}],src.getNumberOfNodes(),1e-12)
+        pass
+
+    def test1D0DPointLocator(self):
+        """
+        For pointlocator fans, Remapper support following intersection
+        IntersectionType == PointLocator
+        - source == 1D
+        - target == 0D
+        """
+        # P1P1 - 0
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([0,1]) )
+        src.insertNextCell(NORM_SEG2,[0,1])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([0.4]) )
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.6,1:0.4}],src.getNumberOfNodes(),1e-12)
+        # P1P1 - 1
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([0,1]) )
+        src.insertNextCell(NORM_SEG2,[1,0]) # permutation
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([0.4]) )
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.6,1:0.4}],src.getNumberOfNodes(),1e-12)
+        # P1P1 - 2
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([1,0]) )
+        src.insertNextCell(NORM_SEG2,[0,1])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([0.4]) )
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.4,1:0.6}],src.getNumberOfNodes(),1e-12)
+        # P1P1 - 3 - 2DCurve
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([0,1]) )
+        src.insertNextCell(NORM_SEG2,[0,1])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([0.4]) )
+        src.changeSpaceDimension(2) ; trg.changeSpaceDimension(2)
+        src.rotate([-1.,-1.],1.2)
+        trg.rotate([-1.,-1.],1.2)
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.6,1:0.4}],src.getNumberOfNodes(),1e-12)
+        # P1P1 - 4
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([1.1,7.6,2.3,5.4]) )
+        src.insertNextCell(NORM_SEG2,[0,2])
+        src.insertNextCell(NORM_SEG2,[2,3])
+        src.insertNextCell(NORM_SEG2,[3,1])
+        for eps in [0,1e-13,-1e-13]:
+            trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([0.4,2.3+eps,4.,7.]) )
+            rem=MEDCouplingRemapper()
+            rem.setIntersectionType(PointLocator)
+            rem.prepare(src,trg,"P1P1")
+            rem.nullifiedTinyCoeffInCrudeMatrixAbs(1e-12)
+            self.checkMatrix(rem.getCrudeMatrix(),[{}, {2: 2.0}, {2: 0.4516129032258065, 3: 0.5483870967741935}, {1: 0.7272727272727273, 3: 0.27272727272727265}],src.getNumberOfNodes(),1e-12)
+        # P1P1 - 5 - descending order of coords in source mesh
+        src = MEDCouplingUMesh("src",1)
+        src.allocateCells()
+        src.setCoords( DataArrayDouble([3.,1.]) )
+        src.insertNextCell(NORM_SEG2,[0,1])
+        trg = MEDCouplingUMesh.Build0DMeshFromCoords( DataArrayDouble([2.3]) )
+        rem=MEDCouplingRemapper()
+        rem.setIntersectionType(PointLocator)
+        rem.prepare(src,trg,"P1P1")
+        self.checkMatrix(rem.getCrudeMatrix(),[{0:0.65,1:0.35}],src.getNumberOfNodes(),1e-12)
+        pass
+
     def checkMatrix(self,mat1,mat2,nbCols,eps):
         self.assertEqual(len(mat1),len(mat2))
         for i in range(len(mat1)):
-            self.assertTrue(max(mat2[i].keys())<nbCols)
-            self.assertTrue(max(mat1[i].keys())<nbCols)
-            self.assertTrue(min(mat2[i].keys())>=0)
-            self.assertTrue(min(mat1[i].keys())>=0)
+            if len(mat2[i].keys())>0:
+                self.assertTrue(max(mat2[i].keys())<nbCols)
+            if len(mat1[i].keys())>0:
+                self.assertTrue(max(mat1[i].keys())<nbCols)
+            if len(mat2[i].keys())>0:
+                self.assertTrue(min(mat2[i].keys())>=0)
+            if len(mat1[i].keys())>0:
+                self.assertTrue(min(mat1[i].keys())>=0)
             s1=set(mat1[i].keys()) ; s2=set(mat2[i].keys())
             for elt in s1.intersection(s2):
                 self.assertTrue(abs(mat1[i][elt]-mat2[i][elt])<eps)