124 lines
3.7 KiB
Plaintext
124 lines
3.7 KiB
Plaintext
|
New assembly mpn functions since MPIR 0.9 = GMP 4.2.1 + Gaudry + Martin patches
|
||
|
|
================================================================
|
||
|
|
/*
|
||
|
|
{rp, n + 1} = {rp, n} + {up, n}*(vl1, vl2) and return carry limb
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_addmul_2 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl1, mp_limb_t vl2)
|
||
|
|
|
||
|
|
/* {qp, n} = {xp, n}/3 if ci = 0
|
||
|
|
{xp, n} = {qp, n}*3 - return*B^n for 0 <= return < 3
|
||
|
|
ci can be used to chain these together
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_divexact_by3c(mp_ptr qp, mp_srcptr xp, mp_size_t n, mp_limb_t ci)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{qp, n} = {xp, n}/(B-1)
|
||
|
|
{xp, n} = {qp, n}*(B-1) - return*B^n for 0 <= return < B - 1
|
||
|
|
*/
|
||
|
|
mp_limb_t
|
||
|
|
mpn_divexact_byff (mp_ptr qp, mp_srcptr xp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{qp, n} = {xp, n}/((B-1)/f)
|
||
|
|
Caller must set Bm1of to (B-1)/f
|
||
|
|
{xp, n} = {qp, n}*((B-1)/f) - return*B^n for 0 <= return < (B - 1)/f
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_divexact_byBm1of(mp_ptr qp, mp_srcptr xp, mp_size_t n, mp_limb_t f, mp_limb_t Bm1of)
|
||
|
|
|
||
|
|
|
||
|
|
divrem_euclidean_qr_1
|
||
|
|
divrem_hensel_1
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n}*vl and return carry limb
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_mul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n+1} = {up, n}*(vl1, vl2) and return carry limb
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_mul_2 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl1, mp_limb_t vl2)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} + {vp, n} + {wp, n} and return carry limb
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_addadd_n(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_srcptr wp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} + {vp, n} - {wp, n} and return carry/borrow limb (1 for carry, -1 for borrow)
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_addsub_n(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_srcptr wp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = (twos) complement of {up, n}
|
||
|
|
*/
|
||
|
|
void mpn_com_n (mp_ptr rp, mp_srcptr up, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} + 2*{vp, n} and return carry
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_addlsh1(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = 2^shift*{up, n} with 0 < shift < BITS_PER_LIMB and return carry
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_lshift(mp_ptr rp, mp_srcptr up, mp_size_t n, mp_size_t shift)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = 2*{up, n} and return carry
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_lshift1(mp_ptr rp, mp_srcptr up, mp_size_t n)
|
||
|
|
|
||
|
|
redc_basecase
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n}/2^shift with 0 < shift < BITS_PER_LIMB and return msl
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_rshift(mp_ptr rp, mp_srcptr up, mp_size_t n, mp_size_t shift)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n}/2 and return msl
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_rshift1(mp_ptr rp, mp_srcptr up, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} - ({vp, n} + {wp, n}) and return borrow
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_subadd_n(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_srcptr wp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} - 2*{vp, n} and return borrow
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_sublsh1(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp1, n} = {up, n} + {vp, n} with carry = c
|
||
|
|
{rp2, n} = {up, n} - {vp, n} with borrow = b
|
||
|
|
return 2*c+b
|
||
|
|
|
||
|
|
*/
|
||
|
|
mp_limb_t mpn_sumdiff_n(mp_ptr rp1, mp_ptr rp2, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
{rp, n} = {up, n} xxx {vp, n}
|
||
|
|
where (xxx) is one of:
|
||
|
|
and = u and v, andn = u and (not v), nand = not (u and v), ior = u inclusive or v, iorn = u inclusive or (not b),
|
||
|
|
nior = not (u inclusive or v), xnor = u exclusive or (not v), xor = u exclusive or v
|
||
|
|
*/
|
||
|
|
void mpn_xxx_n(mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|
||
|
|
|
||
|
|
New C level mpn functions since MPIR 0.9
|
||
|
|
================================
|
||
|
|
|
||
|
|
/*
|
||
|
|
Multiply {up, n} by {vp, n} and store the result at {rp, 2n} using Toom 4 algorithm
|
||
|
|
*/
|
||
|
|
void
|
||
|
|
mpn_toom4_mul_n (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|
||
|
|
|
||
|
|
/*
|
||
|
|
Multiply {up, n} by {vp, n} and store the result at {rp, 2n} using Toom 7 algorithm
|
||
|
|
*/
|
||
|
|
mpn_toom7_mul_nvoid
|
||
|
|
mpn_toom4_mul_n (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
|