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#!/usr/bin/python3
import sys
import datetime
# (C) 2011,2014,2015,2016 Jack Lloyd
# Botan is released under the Simplified BSD License (see license.txt)
# Used to generate src/lib/math/mp/mp_comba.cpp
def comba_indexes(N):
indexes = []
for i in range(0, 2*N):
x = []
for j in range(max(0, i-N+1), min(N, i+1)):
x += [(j,i-j)]
indexes += [sorted(x)]
return indexes
def comba_sqr_indexes(N):
indexes = []
for i in range(0, 2*N):
x = []
for j in range(max(0, i-N+1), min(N, i+1)):
if j < i-j:
x += [(j,i-j)]
else:
x += [(i-j,j)]
indexes += [sorted(x)]
return indexes
def comba_multiply_code(N):
indexes = comba_indexes(N)
w2 = 'w2'
w1 = 'w1'
w0 = 'w0'
for (i,idx) in zip(range(0, len(indexes)), indexes):
for pair in idx:
print(" word3_muladd(&%s, &%s, &%s, x[%2d], y[%2d]);" % (w2, w1, w0, pair[0], pair[1]))
if i < 2*N-2:
print(" z[%2d] = %s; %s = 0;\n" % (i, w0, w0))
else:
print(" z[%2d] = %s;" % (i, w0))
(w0,w1,w2) = (w1,w2,w0)
#print("z[%2d] = w0; w0 = w1; w1 = w2; w2 = 0;" % (i))
def comba_square_code(N):
indexes = comba_sqr_indexes(N)
w2 = 'w2'
w1 = 'w1'
w0 = 'w0'
for (rnd,idx) in zip(range(0, len(indexes)), indexes):
for (i,pair) in zip(range(0, len(idx)), idx):
if pair[0] == pair[1]:
print(" word3_muladd (&%s, &%s, &%s, x[%2d], x[%2d]);" % (w2, w1, w0, pair[0], pair[1]))
elif i % 2 == 0:
print(" word3_muladd_2(&%s, &%s, &%s, x[%2d], x[%2d]);" % (w2, w1, w0, pair[0], pair[1]))
if rnd < 2*N-2:
print(" z[%2d] = %s; %s = 0;\n" % (rnd, w0, w0))
else:
print(" z[%2d] = %s;" % (rnd, w0))
(w0,w1,w2) = (w1,w2,w0)
def main(args = None):
if args is None:
args = sys.argv
if len(args) <= 1:
sizes = [4, 6, 8, 9, 16, 24]
else:
sizes = map(int, args[1:])
print("""/*
* Comba Multiplication and Squaring
*
* This file was automatically generated by %s on %s
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include <botan/internal/mp_core.h>
namespace Botan {
""" % (sys.argv[0], datetime.date.today().strftime("%Y-%m-%d")))
for n in sizes:
print("/*\n* Comba %dx%d Squaring\n*/" % (n, n))
print("void bigint_comba_sqr%d(word z[%d], const word x[%d])" % (n, 2*n, n))
print(" {")
print(" word w2 = 0, w1 = 0, w0 = 0;\n")
comba_square_code(n)
print(" }\n")
print("/*\n* Comba %dx%d Multiplication\n*/" % (n, n))
print("void bigint_comba_mul%d(word z[%d], const word x[%d], const word y[%d])" % (n, 2*n, n, n))
print(" {")
print(" word w2 = 0, w1 = 0, w0 = 0;\n")
comba_multiply_code(n)
print(" }\n")
print("}")
return 0
if __name__ == '__main__':
sys.exit(main())
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