HW8 Complete

PolyMultiplication/ThreeDivideConcur.py

@@ -0,0 +1,24 @@
+import numpy as np
+
+def threeDivideConcur(n, P, Q):
+    PQ = np.zeros((2*n))
+    if n == 1:
+        PQ[0] = P[0] * Q[0]
+        return PQ
+    half = int(n/2)
+    PQ_LL = threeDivideConcur(half, P[0:half], Q[0:half])
+    PQ_HH = threeDivideConcur(half, P[half:], Q[half:])
+    P0 = [0] * half
+    Q0 = [0] * half
+    for i in range(half):
+        P0[i] = P[i] + P[i+half]
+        Q0[i] = Q[i] + Q[i+half]
+
+    S0 = threeDivideConcur(half, P0, Q0)
+    S0 = S0 - PQ_LL - PQ_HH
+
+    for i in range(0, n):
+        PQ[i] += PQ_LL[i]
+        PQ[i+half] += S0[i]
+        PQ[i+half] += PQ_HH[i]
+    return PQ

PolyMultiplication/main.py

@@ -2,6 +2,7 @@ import time
 import problemGenerator
 import highSchool
 import divideConcur
+import ThreeDivideConcur
 
 def main():
     count = 32
@@ -11,6 +12,8 @@ def main():
         dcTime = 0
         highTimeStart = 0
         dcTimeStart = 0
+        tpTimeStart = 0
+        tpTime = 0
         for i in range(0, 10):
             P = problemGenerator.GenerateProblem(count)
             Q = problemGenerator.GenerateProblem(count)
@@ -22,11 +25,16 @@ def main():
             divideConcur.DivideConcur(count, P, Q)
             dcTime += (time.time()-dcTimeStart)
 
-        saveArray = [count, highTime, dcTime]
+            tpTimeStart = time.time()
+            ThreeDivideConcur.threeDivideConcur(count, P, Q)
+            tpTime += (time.time()-tpTimeStart)
+
+        saveArray = [count, highTime, dcTime, tpTime]
         with open("results.txt", "a") as myfile:
             print(str(saveArray), file=myfile)
             myfile.flush()
         count += count
+        print("done")
         myfile.close()
 
 main()

PolyMultiplication/results.txt

@@ -0,0 +1,8 @@
+[32, 0.013394355773925781, 0.14917540550231934, 0.042598724365234375]
+[64, 0.04674863815307617, 0.40509557723999023, 0.0937509536743164]
+[128, 0.15992140769958496, 1.4650187492370605, 0.2788808345794678]
+[256, 0.7615325450897217, 7.662258863449097, 0.9368202686309814]
+[512, 2.826767683029175, 25.519383668899536, 2.65547776222229]
+[1024, 11.587654829025269, 112.63592147827148, 8.038672924041748]
+[2048, 42.060240745544434, 378.21464252471924, 22.36816930770874]
+[4096, 167.49772214889526, 1508.2569563388824, 66.42253613471985]