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New "i62" code for big integers with 64x64->128 opcodes; also improved "i31" modular exponentiation.

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Thomas Pornin 2017-03-19 14:55:11 -04:00
parent 90bc9406c3
commit 8b2fe3add6
22 changed files with 1504 additions and 73 deletions
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22
src/inner.h
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@ -1271,6 +1271,25 @@ void br_i31_from_monty(uint32_t *x, const uint32_t *m, uint32_t m0i);
void br_i31_modpow(uint32_t *x, const unsigned char *e, size_t elen,
const uint32_t *m, uint32_t m0i, uint32_t *t1, uint32_t *t2);
/*
* Compute a modular exponentiation. x[] MUST be an integer modulo m[]
* (same announced bit length, lower value). m[] MUST be odd. The
* exponent is in big-endian unsigned notation, over 'elen' bytes. The
* "m0i" parameter is equal to -(1/m0) mod 2^31, where m0 is the least
* significant value word of m[] (this works only if m[] is an odd
* integer). The tmp[] array is used for temporaries, and has size
* 'twlen' words; it must be large enough to accommodate at least two
* temporary values with the same size as m[] (including the leading
* "bit length" word). If there is room for more temporaries, then this
* function may use the extra room for window-based optimisation,
* resulting in faster computations.
*
* Returned value is 1 on success, 0 on error. An error is reported if
* the provided tmp[] array is too short.
*/
uint32_t br_i31_modpow_opt(uint32_t *x, const unsigned char *e, size_t elen,
const uint32_t *m, uint32_t m0i, uint32_t *tmp, size_t twlen);
/*
* Compute d+a*b, result in d. The initial announced bit length of d[]
* MUST match that of a[]. The d[] array MUST be large enough to
@ -1338,6 +1357,9 @@ void br_i15_reduce(uint16_t *x, const uint16_t *a, const uint16_t *m);
void br_i15_mulacc(uint16_t *d, const uint16_t *a, const uint16_t *b);
uint32_t br_i62_modpow_opt(uint32_t *x31, const unsigned char *e, size_t elen,
const uint32_t *m31, uint32_t m0i31, uint64_t *tmp, size_t twlen);
/* ==================================================================== */
static inline size_t