[gnome-calculator/wip/mpc: 5/5] Test complex arithmetic

[Phillip Wood <pwood src gnome org>]

commit c9fc6796a8c7641ca371ee7dc91436c356f16d25
Author: Phillip Wood <phillip wood dunelm org uk>
Date:   Tue Jan 19 15:47:14 2016 +0000

    Test complex arithmetic

 tests/test-number.vala |   82 ++++++++++++++++++++++++++++++++++-------------
 1 files changed, 59 insertions(+), 23 deletions(-)
---
diff --git a/tests/test-number.vala b/tests/test-number.vala
index bbc6718..efb2613 100644
--- a/tests/test-number.vala
+++ b/tests/test-number.vala
@@ -767,12 +767,21 @@ private void test_add ()
     {
         for (var b = -10; b <= 10; b++)
         {
-            var z = (new Number.integer (a)).add (new Number.integer (b));
-            var expected = a + b;
-            if (z.to_integer () != expected)
+            var x = new Number.integer (a, b);
+            for (var c = -10; c <= 10; c++)
             {
-                fail ("(%d).add (%d) -> %lli, expected %d".printf (a, b, z.to_integer (), expected));
-                return;
+                for (var d = -10; d <= 10; d++)
+                {
+                    var z = x.add (new Number.integer (c, d));
+                    var re_expected = a + c;
+                    var im_expected = b + d;
+                    if (z.real_component ().to_integer () != re_expected ||
+                        z.imaginary_component ().to_integer () != im_expected)
+                    {
+                        fail ("(%d, %d).add (%d, %d) -> (%lli, %lli) expected (%d, %d)".printf (a, b, c, d, 
z.real_component ().to_integer (), z.imaginary_component ().to_integer (), re_expected, im_expected));
+                        return;
+                    }
+                }
             }
         }
     }
@@ -786,12 +795,21 @@ private void test_subtract ()
     {
         for (var b = -10; b <= 10; b++)
         {
-            var z = (new Number.integer (a)).subtract (new Number.integer (b));
-            var expected = a - b;
-            if (z.to_integer () != expected)
+            var x = new Number.integer (a, b);
+            for (var c = -10; c <= 10; c++)
             {
-                fail ("(%d).subtract (%d) -> %lli, expected %d".printf (a, b, z.to_integer (), expected));
-                return;
+                for (var d = -10; d <= 10; d++)
+                {
+                    var z = x.subtract (new Number.integer (c, d));
+                    var re_expected = a - c;
+                    var im_expected = b - d;
+                    if (z.real_component ().to_integer () != re_expected ||
+                        z.imaginary_component ().to_integer () != im_expected)
+                    {
+                        fail ("(%d, %d).subtract (%d, %d) -> (%lli, %lli) expected (%d, %d)".printf (a, b, 
c, d, z.real_component ().to_integer (), z.imaginary_component ().to_integer (), re_expected, im_expected));
+                        return;
+                    }
+                }
             }
         }
     }
@@ -805,12 +823,21 @@ private void test_multiply ()
     {
         for (var b = -10; b <= 10; b++)
         {
-            var z = (new Number.integer (a)).multiply (new Number.integer (b));
-            var expected = a * b;
-            if (z.to_integer () != expected)
+            var x = new Number.integer (a, b);
+            for (var c = -10; c <= 10; c++)
             {
-                fail ("(%d).multiply (%d) -> %lli, expected %d".printf (a, b, z.to_integer (), expected));
-                return;
+                for (var d = -10; d <= 10; d++)
+                {
+                    var z = x.multiply (new Number.integer (c, d));
+                    var re_expected = a * c - b * d;
+                    var im_expected = a * d + b * c;
+                    if (z.real_component ().to_integer () != re_expected ||
+                        z.imaginary_component ().to_integer () != im_expected)
+                    {
+                        fail ("(%d, %d).multiply (%d, %d) -> (%lli, %lli) expected (%d, %d)".printf (a, b, 
c, d, z.real_component ().to_integer (), z.imaginary_component ().to_integer (), re_expected, im_expected));
+                        return;
+                    }
+                }
             }
         }
     }
@@ -843,15 +870,24 @@ private void test_divide ()
     {
         for (var b = -10; b <= 10; b++)
         {
-            if (b == 0)
-                continue;
-
-            var z = (new Number.integer (a * b)).divide (new Number.integer (b));
-            var expected = a;
-            if (z.to_integer () != expected)
+            var x = new Number.integer (a, b);
+            for (var c = -10; c <= 10; c++)
             {
-                fail ("(%d).divide (%d) -> %lli, expected %d".printf (a * b, b, z.to_integer (), expected));
-                return;
+                for (var d = -10; d <= 10; d++)
+                {
+                    if (c == 0 && d == 0)
+                        continue;
+                    var z = x.divide (new Number.integer (c, d));
+                    double scale = c * c + d * d;
+                    double re_expected = (a * c + b * d) / scale;
+                    double im_expected = (b * c - a * d) / scale;
+                    if (z.real_component ().to_double () != re_expected ||
+                        z.imaginary_component ().to_double () != im_expected)
+                    {
+                        fail ("(%d, %d).divide (%d, %d) -> (%f, %f) expected (%f, %f)".printf (a, b, c, d, 
z.real_component ().to_double (), z.imaginary_component ().to_double (), re_expected, im_expected));
+                        return;
+                    }
+                }
             }
         }
     }