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| author | J08nY | 2017-10-17 00:16:37 +0200 |
|---|---|---|
| committer | J08nY | 2017-10-17 00:16:37 +0200 |
| commit | 5307f9318a01ed29a11202ad0915efae9dec44d0 (patch) | |
| tree | f3a0aad1773e954ee15d3a6fef24a742d65d929e /src/gen/order.c | |
| parent | 029ae4d5e19a69e22272755febb8825402594cc7 (diff) | |
| download | ecgen-5307f9318a01ed29a11202ad0915efae9dec44d0.tar.gz ecgen-5307f9318a01ed29a11202ad0915efae9dec44d0.tar.zst ecgen-5307f9318a01ed29a11202ad0915efae9dec44d0.zip | |
Diffstat (limited to 'src/gen/order.c')
| -rw-r--r-- | src/gen/order.c | 63 |
1 files changed, 62 insertions, 1 deletions
diff --git a/src/gen/order.c b/src/gen/order.c index 1ad7a93..92b1489 100644 --- a/src/gen/order.c +++ b/src/gen/order.c @@ -3,9 +3,9 @@ * Copyright (C) 2017 J08nY */ #include "order.h" +#include <misc/types.h> #include "exhaustive/arg.h" #include "io/input.h" -#include "io/output.h" GENERATOR(order_gen_input) { pari_sp ltop = avma; @@ -92,3 +92,64 @@ GENERATOR(order_gen_prime) { return 1; } } + +CHECK(order_check_pohlig_hellman) { + HAS_ARG(args); + pari_sp ltop = avma; + + const char *min_fact = args->args; + GEN minf = strtoi(min_fact); + + GEN factors = factor(curve->order); + GEN primes = gel(factors, 1); + + long len = glength(primes); + if (mpcmp(gel(primes, len), minf) <= 0) { + avma = ltop; + return -4; + } else { + avma = ltop; + return 1; + } +} + +CHECK(order_check_discriminant) { + HAS_ARG(args); + if (cfg->field == FIELD_BINARY) return 1; + pari_sp ltop = avma; + + const char *min_disc = args->args; + GEN mind = strtoi(min_disc); + + GEN t = negi(subii(curve->order, addii(curve->field, gen_1))); + GEN tp = subii(sqri(t), mulis(curve->field, 4)); + GEN tp_factors = factor(tp); + + GEN tp_primes = gel(tp_factors, 1); + GEN tp_pows = gel(tp_factors, 2); + long tp_pow_len = glength(tp_pows); + GEN max_value = gen_1; + for (long i = 1; i <= tp_pow_len; ++i) { + if (!dvdis(gel(tp_pows, i), 2)) { + continue; + } + + GEN value = powii(gel(tp_primes, i), gel(tp_pows, i)); + if (mpcmp(max_value, value) < 0) { + max_value = value; + } + } + GEN s = max_value; + + GEN D = divii(tp, s); + if (mod4(D) != 1) { + D = mulis(D, 4); + } + + if (mpcmp(D, mind) <= 0) { + avma = ltop; + return -4; + } + avma = ltop; + return 1; +}
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