File fix-test-td04ad.patch of Package python-slycot

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File fix-test-td04ad.patch of Package python-slycot (Revision 4b15aeda6baa0f11245535b6111bb378)

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diff --git a/slycot/tests/test.py b/slycot/tests/test.py
index ec0b072..eca7b38 100644
--- a/slycot/tests/test.py
+++ b/slycot/tests/test.py
@@ -49,24 +49,6 @@ class Test(unittest.TestCase):
         self.assertAlmostEqual(Ac[1][0], 1)
         self.assertAlmostEqual(Ac[1][1], -3)
 
-    def test_td04ad_static(self):
-        """Regression: td04ad (TFM -> SS transformation) for static TFM"""
-        import numpy as np
-        from itertools import product
-        # 'C' fails on static TFs
-        for nout,nin,rc in product(range(1,6),range(1,6),['R']):
-            num = np.reshape(np.arange(nout*nin),(nout,nin,1))
-            if rc == 'R':
-                den = np.reshape(np.arange(1,1+nout),(nout,1))
-            else:
-                den = np.reshape(np.arange(1,1+nin),(nin,1))
-            index = np.tile([0],den.shape[0])
-            nr,a,b,c,d = transform.td04ad(rc,nin,nout,index,den,num)
-
-
-def suite():
-   return unittest.TestLoader().loadTestsFromTestCase(TestConvert)
-
 
 if __name__ == "__main__":
     unittest.main()
diff --git a/slycot/tests/test_td04ad.py b/slycot/tests/test_td04ad.py
index ab2aa3e..e442a96 100644
--- a/slycot/tests/test_td04ad.py
+++ b/slycot/tests/test_td04ad.py
@@ -3,19 +3,18 @@
 # test_td04ad.py - test suite for tf -> ss conversion
 # RvP, 04 Jun 2018
 
-from __future__ import print_function
+from __future__ import print_function, division
 
 import unittest
 from slycot import transform
 import numpy as np
 
-from numpy.testing import assert_raises, assert_almost_equal
 
 class TestTf2SS(unittest.TestCase):
 
-    def test_td04ad_case1(self):
-        """td04ad: Convert with both 'C' and 'R' options"""
-        
+    def test_td04ad_c(self):
+        """td04ad: Convert with 'C' option"""
+
         # for octave:
         """
         num = { [0.0,  0.0, 1.0 ], [ 1.0, 0.0 ];
@@ -25,45 +24,96 @@ class TestTf2SS(unittest.TestCase):
                 [1.0,  0.4, 3.0],  [ 1.0, 1.0 ];
                 [1.0,  0.4, 3.0],  [ 1.0, 1.0 ]};
         """
-        
-        # common denominators for the inputs
-        n = 2
+
         m = 2
         p = 3
+        d = 3
         num = np.array([
-            [ [0.0,  0.0, 1.0 ], [ 1.0, 0.0, 0.0 ] ],
-            [ [3.0, -1.0, 1.0 ], [ 0.0, 1.0, 0.0 ] ],
-            [ [0.0, 0.0, 1.0],   [ 0.0, 2.0, 0.0 ] ] ])
-        p, m, d = num.shape
+            [ [0.0,  0.0, 1.0], [1.0, 0.0, 0.0] ],
+            [ [3.0, -1.0, 1.0], [0.0, 1.0, 0.0] ],
+            [ [0.0,  0.0, 1.0], [0.0, 2.0, 0.0] ] ])
+
         numc = np.zeros((max(1, m, p), max(1, m, p), d), dtype=float)
         numc[:p,:m,:] = num
-
         denc = np.array(
             [ [1.0,  0.4, 3.0],  [ 1.0, 1.0, 0.0 ] ])
         indc = np.array(
             [ 2, 1 ], dtype=int)
-        denr = np.array(
-            [ [1.0,  0.4, 3.0],  [ 1.0, 1.0, 0.0 ], [1.0, 0.0, 0.0] ])
-        indr = np.array(
-            [ 2, 1, 0 ], dtype=int)
 
-        n, A, B, C, D = transform.td04ad('C', 2, 3, indc, denc, numc)
+        nref = 3
+        Aref = np.array([ [-1,    0,    0],
+                          [ 0, -0.4, -0.3],
+                          [ 0,   10,    0] ])
+        Bref = np.array([ [0, -1],
+                          [1,  0],
+                          [0,  0] ])
+        Cref = np.array([ [1,     0,  0.1],
+                          [-1, -2.2, -0.8],
+                          [-2,    0,  0.1] ])
+        Dref = np.array([ [0, 1],
+                          [3, 0],
+                          [0, 0] ])
+
+        nr, A, B, C, D = transform.td04ad('C', m, p, indc, denc, numc)
         #print('A=\n', A, '\nB=\n', B, '\nC=\n', C, '\nD=\n', D)
-        Ac = [ [-1, 0, 0], [ 0, -0.4, -0.3], [ 0, 10, 0]]
-        Bc = [ [0, -1] ,[ 1 , 0], [ 0, 0]]
-        Cc = [ [1, 0, 0.1], [-1, -2.2, -0.8], [ -2, 0, 0.1] ]
-        Dc = [ [0, 1], [ 3, 0], [ 0, 0]]
-        np.testing.assert_array_almost_equal(A, Ac)
-        np.testing.assert_array_almost_equal(B, Bc)
-        np.testing.assert_array_almost_equal(C, Cc)
-        np.testing.assert_array_almost_equal(D, Dc)
+        np.testing.assert_equal(nref, nr)
+        # the returned state space representation is not guaranteed to
+        # be of one form for all architectures, so we transform back
+        # to tf and check for equality then
+        _, _, _, _, _, dcoeff, ucoeff = transform.tb04ad(
+                nr, m, p, A, B, C, D)
+        _, _, _, _, _, dcoeffref, ucoeffref = transform.tb04ad(
+                nref, m, p, Aref, Bref, Cref, Dref)
+        np.testing.assert_array_almost_equal(dcoeff,dcoeffref)
+        np.testing.assert_array_almost_equal(ucoeff,ucoeffref)
+
+
+    def test_td04ad_r(self):
+        """td04ad: Convert with 'R' option"""
 
-        resr = transform.td04ad('R', 2, 3, indr, denr, num)
+        """ example program from
+        http://slicot.org/objects/software/shared/doc/TD04AD.html"""
+
+        m = 2
+        p = 2
+        rowcol = 'R'
+        index = [3, 3]
+        dcoeff = np.array([ [1.0, 6.0, 11.0, 6.0], [1.0, 6.0, 11.0, 6.0] ])
+
+        ucoeff = np.array([ [[1.0, 6.0, 12.0, 7.0], [0.0, 1.0,  4.0,  3.0]],
+                            [[0.0, 0.0, 1.0,  1.0], [1.0, 8.0, 20.0, 15.0]] ])
+
+        nref = 3
+
+        Aref = np.array([ [ 0.5000,  -0.8028,   0.9387],
+                          [ 4.4047,  -2.3380,   2.5076],
+                          [-5.5541,   1.6872,  -4.1620] ])
+        Bref = np.array([ [-0.2000,  -1.2500],
+                          [ 0.0000,  -0.6097],
+                          [ 0.0000,   2.2217] ])
+        Cref = np.array([ [0.0000,  -0.8679,   0.2119],
+                          [0.0000,   0.0000,   0.9002] ])
+        Dref = np.array([ [1.0000,   0.0000],
+                          [0.0000,   1.0000] ])
+
+        nr, A, B, C, D = transform.td04ad(rowcol, m, p, index, dcoeff, ucoeff)
         #print('A=\n', A, '\nB=\n', B, '\nC=\n', C, '\nD=\n', D)
+        np.testing.assert_equal(nref, nr)
+        # order of states is not guaranteed, so we reorder the reference
+        rindex = np.flip(np.argsort(np.diag(A)))
+        Arref = Aref[rindex, :][:, rindex]
+        Brref = Bref[rindex, :]
+        Crref = Cref[:, rindex]
+        Drref = Dref
+        np.testing.assert_array_almost_equal(A, Arref,decimal=4)
+        np.testing.assert_array_almost_equal(B, Brref,decimal=4)
+        np.testing.assert_array_almost_equal(C, Crref,decimal=4)
+        np.testing.assert_array_almost_equal(D, Drref,decimal=4)
+
 
     def test_staticgain(self):
         """td04ad: Convert a transferfunction to SS with only static gain"""
-        
+
         # 2 inputs, 3 outputs? columns share a denominator
         num = np.array([ [ [1.0], [2.0] ],
                          [ [0.2], [4.3] ],
@@ -71,12 +121,12 @@ class TestTf2SS(unittest.TestCase):
         p, m, d = num.shape
         numc = np.zeros((max(1, m, p), max(1, m, p), d), dtype=float)
         numc[:p,:m,:] = num
-        
+
         # denc, columns share a common denominator
         denc = np.array([ [ 1.0], [0.5] ])
         Dc = (num / denc).reshape((3,2))
         idxc = np.zeros((2,), dtype=int)
-        
+
         # denr, rows share a common denominator
         denr = np.array([ [1.0], [0.5], [3.0] ])
         idxr = np.zeros((3,), dtype=int)
@@ -84,21 +134,45 @@ class TestTf2SS(unittest.TestCase):
 
         # fails with:
         # On entry to TB01XD parameter number  5 had an illegal value
-        
+
         n, A, B, C, D = transform.td04ad('C', 2, 3, idxc, denc, numc)
         #print('A=\n', A, '\nB=\n', B, '\nC=\n', C, '\nD=\n', D)
         self.assertEqual(A.shape, (0,0))
         self.assertEqual(B.shape, (0,2))
         self.assertEqual(C.shape, (3,0))
         np.testing.assert_array_almost_equal(D, Dc)
-        
+
         n, A, B, C, D = transform.td04ad('R', 2, 3, idxr, denr, num)
         #print('A=\n', A, '\nB=\n', B, '\nC=\n', C, '\nD=\n', D)
         self.assertEqual(A.shape, (0,0))
         self.assertEqual(B.shape, (0,2))
         self.assertEqual(C.shape, (3,0))
         np.testing.assert_array_almost_equal(D, Dr)
-        
+
+    def test_td04ad_static(self):
+        """Regression: td04ad (TFM -> SS transformation) for static TFM"""
+        from itertools import product
+        for nout, nin, rc in product(range(1, 6), range(1, 6), ['R', 'C']):
+            Dref = np.zeros((nout, nin))
+            if rc == 'R':
+                num = np.reshape(np.arange(nout * nin), (nout, nin, 1))
+                den = np.reshape(np.arange(1, 1 + nout), (nout, 1))
+                index = np.repeat(0, nout)
+                Dref = num[:nout, :nin, 0] / np.broadcast_to(den, (nout, nin))
+            else:
+                maxn = max(nout, nin)
+                num = np.zeros((maxn, maxn, 1))
+                num[:nout, :nin, 0] = np.reshape(
+                        np.arange(nout * nin), (nout, nin))
+                den = np.reshape(np.arange(1, 1 + nin), (nin, 1))
+                index = np.repeat(0, nin)
+                Dref = num[:nout, :nin, 0] / np.broadcast_to(den.T, (nout, nin))
+            nr, A, B, C, D = transform.td04ad(rc, nin, nout, index, den, num)
+            np.testing.assert_equal(nr, 0)
+            for M in [A, B, C]:
+                np.testing.assert_equal(M, np.zeros_like(M))
+            np.testing.assert_almost_equal(D, Dref)
+
 
     def test_mixfeedthrough(self):
         """Test case popping up from control testing"""
@@ -113,7 +187,7 @@ class TestTf2SS(unittest.TestCase):
         idxc = np.array([ 1, 0 ])
         n, A, B, C, D = transform.td04ad('C', 2, 2, idxc, denc, numc)
         np.testing.assert_array_almost_equal(D, np.array([[0,  0],[-0.1, 0]]))
-        
+
     def test_toandfrom(self):
 
         A = np.array([[-3.0]])
@@ -131,7 +205,7 @@ class TestTf2SS(unittest.TestCase):
         np.testing.assert_array_almost_equal(A, At)
 
     def test_tfm2ss_6(self):
-        """Python version of Fortran test program from 
+        """Python version of Fortran test program from
         -- Bug in TD04AD when ROWCOL='C' #6
            This bug was fixed in PR #27"""
         m = 1
@@ -145,10 +219,6 @@ class TestTf2SS(unittest.TestCase):
         n, A, B, C, D = transform.td04ad('C', m, p, index, dcoeff, ucoeff)
         self.assertEqual(n, 0)
         np.testing.assert_array_almost_equal(D, np.array([[64]]))
-        
-def suite():
-   return unittest.TestLoader().loadTestsFromTestCase(TestTF2SS)
-
 
 if __name__ == "__main__":
     unittest.main()
diff --git a/slycot/transform.py b/slycot/transform.py
index 77b3171..f79e0ca 100644
--- a/slycot/transform.py
+++ b/slycot/transform.py
@@ -288,9 +288,9 @@ def tb04ad(n,m,p,A,B,C,D,tol1=0.0,tol2=0.0,ldwork=None):
         Cr : rank-2 array, shape (p,nr)
             output matri of the controllable subsystem
         index : rank-1 array, shape (p)
-            array of orders of the denomenator polynomials
+            array of orders of the denominator polynomials
         dcoeff : rank-2 array, shape (p,max(index)+1)
-            array of denomenator coefficients
+            array of denominator coefficients
         ucoeff : rank-3 array, shape (p,m,max(index)+1)
             array of numerator coefficients
 
@@ -576,9 +576,9 @@ def tb05ad(n, m, p, jomega, A, B, C, job='NG'):
 
 
 def td04ad(rowcol,m,p,index,dcoeff,ucoeff,tol=0.0,ldwork=None):
-    """ nr,A,B,C,D = td04ad(m,p,index,dcoeff,ucoeff,[tol,ldwork])
+    """ nr,A,B,C,D = td04ad(rowcol,m,p,index,dcoeff,ucoeff,[tol,ldwork])
 
-    Convert a tranfer function or matrix of transfer functions to
+    Convert a transfer function or matrix of transfer functions to
     a minimum state space realization.
 
     Required arguments
@@ -592,11 +592,11 @@ def td04ad(rowcol,m,p,index,dcoeff,ucoeff,tol=0.0,ldwork=None):
         p : integer
             output dimension
         index : rank-1 array, shape (p) or (m)
-            array of orders of the denomenator polynomials. Different
+            array of orders of the denominator polynomials. Different
             shapes corresponding to rowcol=='R' and rowcol=='C'
             respectively.
         dcoeff : rank-2 array, shape (p,max(index)+1) or (m,max(index)+1)
-            array of denomenator coefficients. Different shapes
+            array of denominator coefficients. Different shapes
             corresponding to rowcol=='R' and rowcol=='C' respectively.
         ucoeff : rank-3 array, shape (p,m,max(index)+1) or (max(p,m),max(p,m),max(index)+1)
             array of numerator coefficients. Different shapes

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File fix-test-td04ad.patch of Package python-slycot (Revision 4b15aeda6baa0f11245535b6111bb378)

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