Changeset 16117 for trunk/Ohana/src/opihi/cmd.data/test/gaussj.sh

Timestamp:

Jan 17, 2008, 12:57:48 PM (19 years ago)

Author:

eugene

Message:

cleanups for gaussj, fft; update tests

File:

• trunk/Ohana/src/opihi/cmd.data/test/gaussj.sh (modified) (5 diffs)

trunk/Ohana/src/opihi/cmd.data/test/gaussj.sh

@@ -3 +3 @@
  test1
  test2
-end
-
+ test3
+ test4
+ test5
+end
+
+# a very simple diagonal matrix equation
 macro test1
  $PASS = 1
@@ -22 +26 @@
 
  gaussj A B
+ if (not($STATUS))
+   $PASS = 0
+ end
 
  if (abs(A[0][0] - 0.75) > 0.01)
@@ -64 +71 @@
 end
 
+# a very simple off-diagonal matrix equation
 macro test2
  $PASS = 1
@@ -81 +89 @@
 
  gaussj A B
+ if (not($STATUS))
+   $PASS = 0
+ end
 
  # echo A[0][0] A[0][1] A[0][2]
@@ -127 +138 @@
 end
 
+# a singular matrix equation
+macro test3
+ $PASS = 1
+ break -auto off
+
+ mcreate A 3 3
+ create B 0 3
+
+ A[0][0] = 2
+ A[1][0] = 2
+ A[2][2] = 2
+
+ A[0][1] = -1
+ A[1][1] = -1
+ A[2][1] = -1
+
+ gaussj -q A B
+ if ($STATUS)
+   $PASS = 0
+ end
+end
+
+# a very large matrix equation
+macro test4
+ $PASS = 1
+ break -auto off
+
+ $Ndim = 50
+ mcreate A $Ndim $Ndim
+ create B 0 $Ndim
+
+ # generate the diagonal + off-diagonal elements
+ for i 0 $Ndim
+   A[$i][$i] = 2.0
+   if ($i > 0)
+     A[$i][$i-1] = -1.0
+   end
+   if ($i < $Ndim - 1)
+     A[$i][$i+1] = -1.0
+   end
+ end
+
+ set inB = B
+ set inA = A
+
+ gaussj A B
+ if (not($STATUS))
+   $PASS = 0
+ end
+
+ set meas = zero(inB)
+ for i 0 B[]
+  for j 0 B[]
+   meas[$i] = meas[$i] + inA[$i][$j] * B[$j]
+  end
+ end
+
+ for i 0 inB[]
+  if (abs(inB[$i]-meas[$i]) > 1e-3)
+    $PASS = 0
+    echo inB[$i] meas[$i] {inB[$i]-meas[$i]}
+  end
+ end
+end
+
+# a nearly singular matrix equation
+macro test5
+ $PASS = 1
+ break -auto off
+
+ delete A B inA inB meas
+
+ mcreate A 3 3
+ create B 0 3
+
+ A[0][0] = 2
+ A[1][0] = 2.00001
+ A[2][2] = 2
+
+ A[0][1] = -1
+ A[1][1] = -1
+ A[2][1] = -1
+
+ set inB = B
+ set inA = A
+
+ gaussj A B
+ if (not($STATUS))
+   $PASS = 0
+ end
+
+ set meas = zero(inB)
+ for i 0 B[]
+  for j 0 B[]
+   meas[$i] = meas[$i] + inA[$i][$j] * B[$j]
+  end
+ end
+
+ for i 0 inB[]
+  if (abs(inB[$i]-meas[$i]) > 1e-5)
+    $PASS = 0
+  end
+ end
+end
+