Added a complex_utils lib for complex number manipulations

Author: Piratmac

2018/complex_utils.py

@@ -0,0 +1,67 @@
+"""
+Small library for complex numbers
+"""
+
+
+# Cardinal directions
+north = 1j
+south = -1j
+west = -1
+east = 1
+northeast = 1 + 1j
+northwest = -1 + 1j
+southeast = 1 - 1j
+southwest = -1 - 1j
+
+directions_straight = [north, south, west, east]
+directions_diagonals = directions_straight + [
+    northeast,
+    northwest,
+    southeast,
+    southwest,
+]
+
+# To be multiplied by the current cartinal direction
+relative_directions = {
+    "left": 1j,
+    "right": -1j,
+    "ahead": 1,
+    "back": -1,
+}
+
+
+def min_real(complexes):
+    real_values = [x.real for x in complexes]
+    return min(real_values)
+
+
+def min_imag(complexes):
+    real_values = [x.imag for x in complexes]
+    return min(real_values)
+
+
+def max_real(complexes):
+    real_values = [x.real for x in complexes]
+    return max(real_values)
+
+
+def max_imag(complexes):
+    real_values = [x.imag for x in complexes]
+    return max(real_values)
+
+
+def manhattan_distance(a, b):
+    return abs(b.imag - a.imag) + abs(b.real - a.real)
+
+
+def complex_sort(complexes, mode=""):
+    # Sorts by real, then by imaginary component (x then y)
+    if mode == "xy":
+        complexes.sort(key=lambda a: (a.real, a.imag))
+    # Sorts by imaginary, then by real component (y then x)
+    elif mode == "yx":
+        complexes.sort(key=lambda a: (a.imag, a.real))
+    # Sorts by distance from 0,0 (kind of polar coordinates)
+    else:
+        complexes.sort(key=lambda a: sqrt(a.imag ** 2 + a.real ** 2))
+    return complexes