verify method added

main.py

@@ -9,14 +9,17 @@ import random
 
 
 startTime = 0
+lastTime = 0
 
 def log(msg, reset=False):
-    global startTime
+    global startTime, lastTime
     currentTime = time.time()
     if reset:
         startTime = currentTime
-    print("%f: %s" % (currentTime - startTime, msg))
-    
+    if lastTime == 0:
+        lastTime = currentTime
+    print("%f %f: %s" % (currentTime - startTime, currentTime - lastTime, msg))
+    lastTime = currentTime
 
 def s_permutations(seq):
     items = [[]]
@@ -100,6 +103,28 @@ def generate(order, lowerBound, upperBound):
     return matrix
 
 
+def verify(m, v):
+    coeffs = m[:-1]
+    results = m[-1]
+    epsilons = []
+    good = True
+    MAX_EPSILON = 1E-10
+    worstEpsilon = 0.0
+    
+    for i in range(len(results)):
+        res = 0.0
+        for j in range(len(results)):
+            res += coeffs[j][i] * v[j]
+        epsilon = res - results[i]
+        if epsilon > MAX_EPSILON:
+            good = False
+        if abs(epsilon) > worstEpsilon:
+            worstEpsilon = abs(epsilon)
+        epsilons.append(res - results[i])
+        
+    return (good, worstEpsilon, epsilons)
+    
+
 
 #g = [[1.0,2.0,10.0], [5.0,3.0,11.0], [7.0,4.0,3.0], [8.0,9.0,13.0]]
 #g = [[599.1290806728277, 80.40433203454268, 615.5120772027384], [187.33506822036273, 663.7490700388757, 677.5997857592452], [956.929845461785, 456.8619830134234, 419.21973493934263], [61.824473951393344, 342.8555419523176, 216.32654519677496]]
@@ -115,6 +140,9 @@ for i in range(2, 10+1):
     print(i)
     print(g)
     print(v)
+    
+    e = verify(g, v)
+    print(e)
     print