commit state before changing what noether considers primitive roots

py/mquiet.py

@@ -0,0 +1,76 @@
+# Modulo Test
+from prbraid.math import *
+from prbraid.color import *
+
+import sys
+
+PROMPT = '[n]: '
+
+'''
+Pairwise orbit cumulative summation (cum orb) 
+'''
+def orb_cum(cum, orb):
+    for i in range(len(cum)):
+        cum[i] += orb[i]
+
+def main():
+    while True:
+        n = None
+        strlen_n = None
+        try:
+            uprint(PROMPT, color=Color.Blue, end='')
+            n = input()
+            strlen_n = len(n)
+            n = int(n)
+        except ValueError:
+            continue
+
+        # calculate phi of n
+        phi = totient(n)
+        # determine if n is prime
+        prime = n - 1 == phi
+        if prime:
+            uprint('', moveup=1, end='', flush=False)
+            column = len(PROMPT) + strlen_n + 1
+            sys.stdout.write(f'\033[{column}C')
+            uprint('[PRIME]', color=Color.Magenta, style=Color.Bold, flush=True)
+        # primitive root values
+        proot_v = []
+        # primitive root count
+        proot_c = 0
+        # cumulative sum of primitive root orbits
+        prorb_cum = []       
+  
+        # find all invertible elements (skipped for now)
+        for a in range(n):
+            orb, ord = orbit(a, n)
+            # check if `a` is a primitive root
+            proot = (ord + 1 == n)
+            proot_c += proot 
+
+            if proot:
+                proot_v.append(a)
+                if not prorb_cum:
+                    prorb_cum = orb
+                else:
+                    orb_cum(prorb_cum, orb)
+                print(a)            
+        uprint('Cum Orb:   ', end='', color=Color.Cyan)
+        uprint(f'{prorb_cum}', flush=True)
+        prorb_cum_mod = [x % n for x in prorb_cum]
+        uprint(f'           {prorb_cum_mod}', flush=True)
+
+        uprint('Roots:     ', end='', color=Color.Cyan)
+        uprint(proot_v, flush=True)
+        root_delta = [proot_v[i+1] - proot_v[i] for i in range(proot_c - 1)]
+        uprint('Delta:     ', end='', color=Color.Cyan)
+        uprint(root_delta, flush=True)
+        
+        uprint('Roots/Phi: ', end='', color=Color.Cyan)
+        uprint(f'{proot_c}/{phi}\n', flush=True)
+
+if __name__ == '__main__':
+    try:
+        main()
+    except (KeyboardInterrupt, EOFError):
+        pass