Add HalfPrecision class with IEEE 754 half-precision support

Week06/halfprecision_sedasengul_ozkaya.py

@@ -0,0 +1,46 @@
+import math
+
+class HalfPrecision:
+    def __init__(self, number):
+        if type(number) is not float:
+            raise TypeError("Input must be a float")
+        self.number = number
+
+    def __str__(self):
+        x = self.number
+        sign = "1" if math.copysign(1.0, x) < 0 else "0"
+        x = abs(x)
+
+        if x == 0.0:
+            return sign + "00000" + "0000000000"
+
+        if math.isinf(x):
+            return sign + "11111" + "0000000000"
+
+        m, e = math.frexp(x)
+        e -= 1
+        m *= 2
+        bias = 15
+        exp = e + bias
+
+        # Normalized
+        if exp > 0:
+            if exp >= 31:
+                return sign + "11111" + "0000000000"
+
+            frac = m - 1
+            mant = int(frac * 1024 + 0.5)
+
+            if mant == 1024:
+                mant = 0
+                exp += 1
+                if exp >= 31:
+                    return sign + "11111" + "0000000000"
+
+            return sign + format(exp, "05b") + format(mant, "010b")
+
+        # Denormal
+        mant = int(x / (2 ** -14) * 1024 + 0.5)
+        mant = min(mant, 1023)
+
+        return sign + "00000" + format(mant, "010b")