September Morn Update

Task/Spiral-matrix/Python/spiral-matrix-6.py

@@ -1,12 +1,41 @@
-def spiral_matrix(n):
-    m = [[0] * n for i in range(n)]
-    dx, dy = [0, 1, 0, -1], [1, 0, -1, 0]
-    x, y, c = 0, -1, 1
-    for i in range(n + n - 1):
-        for j in range((n + n - i) // 2):
-            x += dx[i % 4]
-            y += dy[i % 4]
-            m[x][y] = c
-            c += 1
-    return m
-for i in spiral_matrix(5): print(*i)
+'''Spiral Matrix'''
+
+
+# spiral :: Int -> [[Int]]
+def spiral(n):
+    '''The rows of a spiral matrix of order N.
+    '''
+    def go(rows, cols, x):
+        return [list(range(x, x + cols))] + [
+            list(reversed(x)) for x
+            in zip(*go(cols, rows - 1, x + cols))
+        ] if 0 < rows else [[]]
+    return go(n, n, 0)
+
+
+# TEST ----------------------------------------------------
+# main :: IO ()
+def main():
+    '''Spiral matrix of order 5, in wiki table markup'''
+
+    print(wikiTable(
+        spiral(5)
+    ))
+
+
+# FORMATTING ----------------------------------------------
+
+# wikiTable :: [[a]] -> String
+def wikiTable(rows):
+    '''Wiki markup for a no-frills tabulation of rows.'''
+    return '{| class="wikitable" style="' + (
+        'width:12em;height:12em;table-layout:fixed;"|-\n'
+    ) + '\n|-\n'.join([
+        '| ' + ' || '.join([str(cell) for cell in row])
+        for row in rows
+    ]) + '\n|}'
+
+
+# MAIN ---
+if __name__ == '__main__':
+    main()

Task/Spiral-matrix/Python/spiral-matrix-7.py

@@ -1,5 +1,12 @@
-1 2 3 4 5
-16 17 18 19 6
-15 24 25 20 7
-14 23 22 21 8
-13 12 11 10 9
+def spiral_matrix(n):
+    m = [[0] * n for i in range(n)]
+    dx, dy = [0, 1, 0, -1], [1, 0, -1, 0]
+    x, y, c = 0, -1, 1
+    for i in range(n + n - 1):
+        for j in range((n + n - i) // 2):
+            x += dx[i % 4]
+            y += dy[i % 4]
+            m[x][y] = c
+            c += 1
+    return m
+for i in spiral_matrix(5): print(*i)

Task/Spiral-matrix/Python/spiral-matrix-8.py

@@ -0,0 +1,5 @@
+1 2 3 4 5
+16 17 18 19 6
+15 24 25 20 7
+14 23 22 21 8
+13 12 11 10 9