optimize ux

chapter-03/dedekint/dedekint.py

@@ -0,0 +1,6 @@
+from collections.abc import Callable
+from gmpy2 import mpq
+
+
+class REAL:
+    def __init__(self, f: Callable[[mpq], bool]): self.smaller=f

chapter-03/dedekint/main.py

@@ -0,0 +1,26 @@
+from dedekint import REAL
+# mpq for rational numbers
+from gmpy2 import mpq
+
+
+def sqrt_two(q):
+    if q <= 0 or q * q < 2: return True
+    return False
+
+
+x = REAL(sqrt_two)
+
+print("1.41422 is smaller:", x.smaller(mpq(141422, 100000)))
+print("1.41421 is smaller:", x.smaller(mpq(141421, 100000)))
+
+k = 0
+n = 1
+z = 0
+
+for k in range(100):
+    if x.smaller(mpq(z, n)):
+        z = z + 1
+    else:
+        print(z, "/", n)
+        z = (z - 1) * 10
+        n = n * 10