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jlproj.c
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jlproj.c
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#include <stdint.h>
#include <immintrin.h>
#include <stdlib.h>
#include <string.h>
#include "data.h"
#include "polz.h"
#include "jlproj.h"
/* matrix format (32x16):
* 4 bits -> nibble: 8 row stride
* 2 nibbles -> byte: 8 col stride
* 4 bytes -> dword: 1 row stride
* 2 dwords -> qword: 4 row stride
* 8 qwords -> zvec: 1 col stride
*/
void poly_jlproj_add(int32_t out[256], const poly *in, const uint8_t mat[256*N/8]) {
int i;
__m512i a,b,c,d;
__m512i e,f,g,h;
__m512i k,l,m,n;
__m512i o,p,q,r;
__m512i s,t,u,v;
__m512i w,x,y,z;
const __m512i zero = _mm512_setzero_si512();
const __m512i stencil1 = _mm512_set1_epi8(0x11);
const __m512i stencil2 = _mm512_set1_epi8(0x22);
const __m512i stencil4 = _mm512_set1_epi8(0x44);
const __m512i stencil8 = _mm512_set1_epi8((char)0x88);
const __m512i vpermi2bidx = _mm512_set_epi8(95,87,79,71,
94,86,78,70,
93,85,77,69,
92,84,76,68,
91,83,75,67,
90,82,74,66,
89,81,73,65,
88,80,72,64,
31,23,15, 7,
30,22,14, 6,
29,21,13, 5,
28,20,12, 4,
27,19,11, 3,
26,18,10, 2,
25,17, 9, 1,
24,16, 8, 0);
/* Prepare 16 vectors containing all 16 signed combinations of 4 polynomial coeffs that are 16 apart */
a = _mm512_cvtepi16_epi32(_mm256_load_si256((__m256i*)&in->vec->c[48]));
b = _mm512_cvtepi16_epi32(_mm256_load_si256((__m256i*)&in->vec->c[32]));
e = _mm512_add_epi32(a,b); // ++
f = _mm512_sub_epi32(a,b); // +-
g = _mm512_sub_epi32(b,a); // -+
h = _mm512_sub_epi32(zero,e); // --
a = _mm512_shuffle_i64x2(e,f,0x44); // ++,+-
b = _mm512_shuffle_i64x2(e,f,0xEE); // ++,+-
c = _mm512_shuffle_i64x2(g,h,0x44); // -+,--
d = _mm512_shuffle_i64x2(g,h,0xEE); // -+,--
e = _mm512_shuffle_i64x2(a,c,0x88); // ++,+-,-+,--
f = _mm512_shuffle_i64x2(a,c,0xDD); // ++,+-,-+,--
g = _mm512_shuffle_i64x2(b,d,0x88); // ++,+-,-+,--
h = _mm512_shuffle_i64x2(b,d,0xDD); // ++,+-,-+,--
a = _mm512_cvtepi16_epi32(_mm256_load_si256((__m256i*)&in->vec->c[16]));
b = _mm512_cvtepi16_epi32(_mm256_load_si256((__m256i*)&in->vec->c[ 0]));
c = _mm512_add_epi32(a,b); // ++
d = _mm512_sub_epi32(a,b); // +-
k = _mm512_shuffle_i64x2(c,c,0x00); // ++,++,++,++
l = _mm512_shuffle_i64x2(c,c,0x55); // ++,++,++,++
m = _mm512_shuffle_i64x2(c,c,0xAA); // ++,++,++,++
n = _mm512_shuffle_i64x2(c,c,0xFF); // ++,++,++,++
o = _mm512_shuffle_i64x2(d,d,0x00); // +-,+-,+-,+-
p = _mm512_shuffle_i64x2(d,d,0x55); // +-,+-,+-,+-
q = _mm512_shuffle_i64x2(d,d,0xAA); // +-,+-,+-,+-
r = _mm512_shuffle_i64x2(d,d,0xFF); // +-,+-,+-,+-
s = _mm512_add_epi32(e,k); // ++++,+-++,-+++,--++
t = _mm512_add_epi32(e,o); // +++-,+-+-,-++-,--+-
u = _mm512_sub_epi32(e,o); // ++-+,+--+,-+-+,---+
v = _mm512_sub_epi32(e,k); // ++--,+---,-+--,----
w = _mm512_add_epi32(f,l); // ++++,+-++,-+++,--++
x = _mm512_add_epi32(f,p); // +++-,+-+-,-++-,--+-
y = _mm512_sub_epi32(f,p); // ++-+,+--+,-+-+,---+
z = _mm512_sub_epi32(f,l); // ++--,+---,-+--,----
a = _mm512_add_epi32(g,m); // ++++,+-++,-+++,--++
b = _mm512_add_epi32(g,q); // +++-,+-+-,-++-,--+-
c = _mm512_sub_epi32(g,q); // ++-+,+--+,-+-+,---+
d = _mm512_sub_epi32(g,m); // ++--,+---,-+--,----
e = _mm512_add_epi32(h,n); // ++++,+-++,-+++,--++
f = _mm512_add_epi32(h,r); // +++-,+-+-,-++-,--+-
g = _mm512_sub_epi32(h,r); // ++-+,+--+,-+-+,---+
h = _mm512_sub_epi32(h,n); // ++--,+---,-+--,----
k = _mm512_unpacklo_epi32(s,t); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
l = _mm512_unpacklo_epi32(u,v); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
m = _mm512_unpackhi_epi32(s,t); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
n = _mm512_unpackhi_epi32(u,v); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
o = _mm512_unpacklo_epi32(w,x); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
p = _mm512_unpacklo_epi32(y,z); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
q = _mm512_unpackhi_epi32(w,x); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
r = _mm512_unpackhi_epi32(y,z); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
s = _mm512_unpacklo_epi32(a,b); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
t = _mm512_unpacklo_epi32(c,d); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
u = _mm512_unpackhi_epi32(a,b); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
v = _mm512_unpackhi_epi32(c,d); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
w = _mm512_unpacklo_epi32(e,f); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
x = _mm512_unpacklo_epi32(g,h); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
y = _mm512_unpackhi_epi32(e,f); // ++++,+++-,+-++,+-+-,-+++,-++-,--++,--+-
z = _mm512_unpackhi_epi32(g,h); // ++-+,++--,+--+,+---,-+-+,-+--,---+,----
a = _mm512_unpacklo_epi64(k,l); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
b = _mm512_unpackhi_epi64(k,l); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
c = _mm512_unpacklo_epi64(m,n); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
d = _mm512_unpackhi_epi64(m,n); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
e = _mm512_unpacklo_epi64(o,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
f = _mm512_unpackhi_epi64(o,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
g = _mm512_unpacklo_epi64(q,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
h = _mm512_unpackhi_epi64(q,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
k = _mm512_unpacklo_epi64(s,t); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
l = _mm512_unpackhi_epi64(s,t); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
m = _mm512_unpacklo_epi64(u,v); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
n = _mm512_unpackhi_epi64(u,v); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
o = _mm512_unpacklo_epi64(w,x); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
p = _mm512_unpackhi_epi64(w,x); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
q = _mm512_unpacklo_epi64(y,z); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
r = _mm512_unpackhi_epi64(y,z); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---,-+++,-++-,-+-+,-+--,--++,--+-,---+,----
for(i=0;i<256/32;i++) {
s = _mm512_load_si512((__m512i*)&mat[32*16/8*i+256*16/8*0]);
t = _mm512_load_si512((__m512i*)&mat[32*16/8*i+256*16/8*1]);
u = _mm512_load_si512((__m512i*)&mat[32*16/8*i+256*16/8*2]);
v = _mm512_load_si512((__m512i*)&mat[32*16/8*i+256*16/8*3]);
x = _mm512_slli_epi32(t,1);
y = _mm512_slli_epi32(u,2);
z = _mm512_slli_epi32(v,3);
w = _mm512_and_si512(s,stencil1);
x = _mm512_and_si512(x,stencil2);
y = _mm512_and_si512(y,stencil4);
z = _mm512_and_si512(z,stencil8);
w = _mm512_add_epi8(w,x);
x = _mm512_add_epi8(y,z);
w = _mm512_add_epi8(w,x);
x = _mm512_srli_epi32(s,1);
x = _mm512_and_si512(x,stencil1);
y = _mm512_and_si512(t,stencil2);
x = _mm512_add_epi8(x,y);
y = _mm512_slli_epi32(u,1);
z = _mm512_slli_epi32(v,2);
y = _mm512_and_si512(y,stencil4);
z = _mm512_and_si512(z,stencil8);
y = _mm512_add_epi8(y,z);
x = _mm512_add_epi8(x,y);
y = _mm512_permutex2var_epi8(w,vpermi2bidx,x);
z = _mm512_add_epi8(vpermi2bidx,_mm512_set1_epi8(32));
z = _mm512_permutex2var_epi8(w,z,x);
#define BLOCK(T0,T1) \
x = _mm512_permutexvar_epi32(y,T0); \
w = _mm512_add_epi32(w,x); \
x = _mm512_permutexvar_epi32(z,T1); \
y = _mm512_srli_epi32(y,4); \
z = _mm512_srli_epi32(z,4); \
w = _mm512_add_epi32(w,x)
w = _mm512_loadu_si512((__m512i*)&out[32*i+ 0]);
BLOCK(a,e);
BLOCK(k,o);
BLOCK(b,f);
BLOCK(l,p);
BLOCK(c,g);
BLOCK(m,q);
BLOCK(d,h);
BLOCK(n,r);
_mm512_storeu_si512((__m512i*)&out[32*i+ 0],w);
w = _mm512_srli_epi32(s,2);
x = _mm512_srli_epi32(t,1);
z = _mm512_slli_epi32(v,1);
w = _mm512_and_si512(w,stencil1);
x = _mm512_and_si512(x,stencil2);
y = _mm512_and_si512(u,stencil4);
z = _mm512_and_si512(z,stencil8);
w = _mm512_add_epi8(w,x);
x = _mm512_add_epi8(y,z);
w = _mm512_add_epi8(w,x);
x = _mm512_srli_epi32(s,3);
y = _mm512_srli_epi32(t,2);
x = _mm512_and_si512(x,stencil1);
y = _mm512_and_si512(y,stencil2);
x = _mm512_add_epi8(x,y);
y = _mm512_srli_epi32(u,1);
y = _mm512_and_si512(y,stencil4);
z = _mm512_and_si512(v,stencil8);
y = _mm512_add_epi8(y,z);
x = _mm512_add_epi8(x,y);
y = _mm512_permutex2var_epi8(w,vpermi2bidx,x);
z = _mm512_add_epi8(vpermi2bidx,_mm512_set1_epi8(32));
z = _mm512_permutex2var_epi8(w,z,x);
w = _mm512_loadu_si512((__m512i*)&out[32*i+16]);
BLOCK(a,e);
BLOCK(k,o);
BLOCK(b,f);
BLOCK(l,p);
BLOCK(c,g);
BLOCK(m,q);
BLOCK(d,h);
BLOCK(n,r);
_mm512_storeu_si512((__m512i*)&out[32*i+16],w);
#undef BLOCK
}
}
void polyvec_jlproj_add(int32_t r[256], const poly *p, size_t len, const uint8_t *mat) {
size_t i;
for(i=0;i<len;i++)
poly_jlproj_add(r,&p[i],&mat[256*N/8*i]);
}
static void jlproj_collapsmat32(int64_t *row, const uint8_t *mat, size_t len, const int64_t alpha[32]) {
size_t i;
__m512i a,b,c,d;
__m512i e,f,g,h;
__m512i k,l,m,n;
__m512i o,p,q,r;
__m512i s,t,u,v;
__m512i w,x,y,z;
const __m512i zero = _mm512_setzero_si512();
/* Prepare 8 pairs of vectors containing all 16 signed combinations of 4 challenge coeffs that are 8 apart */
a = _mm512_load_si512((__m512i*)&alpha[24]);
b = _mm512_load_si512((__m512i*)&alpha[16]);
e = _mm512_add_epi64(a,b); // ++
f = _mm512_sub_epi64(a,b); // +-
g = _mm512_sub_epi64(b,a); // -+
h = _mm512_sub_epi64(zero,e); // --
s = _mm512_shuffle_i64x2(e,f,0x00); // ++,++,+-,+-
t = _mm512_shuffle_i64x2(e,f,0x55); // ++,++,+-,+-
u = _mm512_shuffle_i64x2(e,f,0xAA); // ++,++,+-,+-
v = _mm512_shuffle_i64x2(e,f,0xFF); // ++,++,+-,+-
w = _mm512_shuffle_i64x2(g,h,0x00); // -+,-+,--,--
x = _mm512_shuffle_i64x2(g,h,0x55); // -+,-+,--,--
y = _mm512_shuffle_i64x2(g,h,0xAA); // -+,-+,--,--
z = _mm512_shuffle_i64x2(g,h,0xFF); // -+,-+,--,--
a = _mm512_load_si512((__m512i*)&alpha[ 8]);
b = _mm512_load_si512((__m512i*)&alpha[ 0]);
c = _mm512_add_epi64(a,b); // ++
d = _mm512_sub_epi64(b,a); // -+
k = _mm512_shuffle_i64x2(c,d,0x44); // ++,-+
l = _mm512_shuffle_i64x2(c,d,0xEE); // ++,-+
a = _mm512_shuffle_i64x2(k,k,0x88); // ++,-+,++,-+
b = _mm512_shuffle_i64x2(k,k,0xDD); // ++,-+,++,-+
c = _mm512_shuffle_i64x2(l,l,0x88); // ++,-+,++,-+
d = _mm512_shuffle_i64x2(l,l,0xDD); // ++,-+,++,-+
e = _mm512_shuffle_i64x2(k,k,0x22); // -+,++,-+,++
f = _mm512_shuffle_i64x2(k,k,0x77); // -+,++,-+,++
g = _mm512_shuffle_i64x2(l,l,0x22); // -+,++,-+,++
h = _mm512_shuffle_i64x2(l,l,0x77); // -+,++,-+,++
k = _mm512_add_epi64(s,a); // ++++,++-+,+-++,+--+
l = _mm512_add_epi64(t,b); // ++++,++-+,+-++,+--+
m = _mm512_add_epi64(u,c); // ++++,++-+,+-++,+--+
n = _mm512_add_epi64(v,d); // ++++,++-+,+-++,+--+
o = _mm512_sub_epi64(s,e); // +++-,++--,+-+-,+---
p = _mm512_sub_epi64(t,f); // +++-,++--,+-+-,+---
q = _mm512_sub_epi64(u,g); // +++-,++--,+-+-,+---
r = _mm512_sub_epi64(v,h); // +++-,++--,+-+-,+---
s = _mm512_add_epi64(w,a); // -+++,-+-+,--++,+--+
t = _mm512_add_epi64(x,b); // -+++,-+-+,--++,+--+
u = _mm512_add_epi64(y,c); // -+++,-+-+,--++,+--+
v = _mm512_add_epi64(z,d); // -+++,-+-+,--++,+--+
w = _mm512_sub_epi64(w,e); // -++-,-+--,--+-,----
x = _mm512_sub_epi64(x,f); // -++-,-+--,--+-,----
y = _mm512_sub_epi64(y,g); // -++-,-+--,--+-,----
z = _mm512_sub_epi64(z,h); // -++-,-+--,--+-,----
a = _mm512_unpacklo_epi64(k,o); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
b = _mm512_unpackhi_epi64(k,o); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
c = _mm512_unpacklo_epi64(l,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
d = _mm512_unpackhi_epi64(l,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
e = _mm512_unpacklo_epi64(m,q); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
f = _mm512_unpackhi_epi64(m,q); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
g = _mm512_unpacklo_epi64(n,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
h = _mm512_unpackhi_epi64(n,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
k = _mm512_unpacklo_epi64(s,w); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
l = _mm512_unpackhi_epi64(s,w); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
m = _mm512_unpacklo_epi64(t,x); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
n = _mm512_unpackhi_epi64(t,x); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
o = _mm512_unpacklo_epi64(u,y); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
p = _mm512_unpackhi_epi64(u,y); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
q = _mm512_unpacklo_epi64(v,z); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
r = _mm512_unpackhi_epi64(v,z); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
#if 0
const __m125i revidx = _mm512_set_epi64(0,1,2,3,4,5,6,7);
a = _mm512_loadu_si256((__m512i*)&alpha[ 0]));
b = _mm512_loadu_si256((__m512i*)&alpha[ 8]));
c = _mm512_loadu_si256((__m512i*)&alpha[16]));
d = _mm512_loadu_si256((__m512i*)&alpha[24]));
e = _mm512_add_epi64(a,b); // ++ (a+b)
f = _mm512_sub_epi64(a,b); // +- (a-b)
g = _mm512_add_epi64(c,d); // ++ (c+d)
h = _mm512_sub_epi64(c,d); // +- (c-d)
k = _mm512_add_epi64(e,g); // ++++
l = _mm512_add_epi64(e,h); // +++-
m = _mm512_sub_epi64(e,h); // ++-+
n = _mm512_sub_epi64(e,g); // ++--
o = _mm512_add_epi64(f,g); // +-++
p = _mm512_add_epi64(f,h); // +-+-
q = _mm512_sub_epi64(f,h); // +--+
r = _mm512_sub_epi64(f,g); // +---
a = _mm512_shuffle_i64x2(k,m,0x44); // ++++,++-+
b = _mm512_shuffle_i64x2(k,m,0xEE); // ++++,++-+
c = _mm512_shuffle_i64x2(l,n,0x44); // +++-,++--
d = _mm512_shuffle_i64x2(l,n,0xEE); // +++-,++--
e = _mm512_shuffle_i64x2(o,q,0x44); // +-++,+--+
f = _mm512_shuffle_i64x2(o,q,0xEE); // +-++,+--+
g = _mm512_shuffle_i64x2(p,r,0x44); // +-+-,+---
h = _mm512_shuffle_i64x2(p,r,0xEE); // +-+-,+---
k = _mm512_shuffle_i64x2(a,e,0x88); // ++++,++-+,+-++,+--+
l = _mm512_shuffle_i64x2(a,e,0xDD); // ++++,++-+,+-++,+--+
m = _mm512_shuffle_i64x2(b,f,0x88); // ++++,++-+,+-++,+--+
n = _mm512_shuffle_i64x2(b,f,0xDD); // ++++,++-+,+-++,+--+
o = _mm512_shuffle_i64x2(c,g,0x88); // +++-,++--,+-+-,+---
p = _mm512_shuffle_i64x2(c,g,0xDD); // +++-,++--,+-+-,+---
q = _mm512_shuffle_i64x2(d,h,0x88); // +++-,++--,+-+-,+---
r = _mm512_shuffle_i64x2(d,h,0xDD); // +++-,++--,+-+-,+---
a = _mm512_unpacklo_epi64(k,o); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
b = _mm512_unpackhi_epi64(k,o); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
c = _mm512_unpacklo_epi64(l,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
d = _mm512_unpackhi_epi64(l,p); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
e = _mm512_unpacklo_epi64(m,q); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
f = _mm512_unpackhi_epi64(m,q); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
g = _mm512_unpacklo_epi64(n,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
h = _mm512_unpackhi_epi64(n,r); // ++++,+++-,++-+,++--,+-++,+-+-,+--+,+---
k = _mm512_sub_epi64(zero,a); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
l = _mm512_sub_epi64(zero,b); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
m = _mm512_sub_epi64(zero,c); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
n = _mm512_sub_epi64(zero,d); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
o = _mm512_sub_epi64(zero,e); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
p = _mm512_sub_epi64(zero,f); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
q = _mm512_sub_epi64(zero,g); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
r = _mm512_sub_epi64(zero,h); // ----,---+,--+-,--++,-+--,-+-+,-++-,-+++
k = _mm512_permutexvar_epi64(revidx,k); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
l = _mm512_permutexvar_epi64(revidx,l); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
m = _mm512_permutexvar_epi64(revidx,m); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
n = _mm512_permutexvar_epi64(revidx,n); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
o = _mm512_permutexvar_epi64(revidx,o); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
p = _mm512_permutexvar_epi64(revidx,p); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
q = _mm512_permutexvar_epi64(revidx,q); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
r = _mm512_permutexvar_epi64(revidx,r); // -+++,-++-,-+-+,-+--,--++,--+-,---+,----
#endif
#define BLOCK(T0,T1) \
u = _mm512_permutex2var_epi64(T0,s,T1); \
v = _mm512_permutex2var_epi64(T0,t,T1); \
s = _mm512_srli_epi64(s,4); \
t = _mm512_srli_epi64(t,4); \
w = _mm512_add_epi64(w,u); \
y = _mm512_add_epi64(y,v); \
u = _mm512_permutex2var_epi64(T0,s,T1); \
v = _mm512_permutex2var_epi64(T0,t,T1); \
s = _mm512_srli_epi64(s,4); \
t = _mm512_srli_epi64(t,4); \
x = _mm512_add_epi64(x,u); \
z = _mm512_add_epi64(z,v)
for(i=0;i<len/32;i++) {
s = _mm512_load_si512((__m512i*)&mat[256*32/8*i+ 0]);
t = _mm512_load_si512((__m512i*)&mat[256*32/8*i+256*16/8]);
w = _mm512_load_si512((__m512i*)&row[32*i+ 0]);
x = _mm512_load_si512((__m512i*)&row[32*i+ 8]);
y = _mm512_load_si512((__m512i*)&row[32*i+16]);
z = _mm512_load_si512((__m512i*)&row[32*i+24]);
BLOCK(a,k);
BLOCK(b,l);
BLOCK(c,m);
BLOCK(d,n);
BLOCK(e,o);
BLOCK(f,p);
BLOCK(g,q);
BLOCK(h,r);
_mm512_store_si512((__m512i*)&row[32*i+ 0],w);
_mm512_store_si512((__m512i*)&row[32*i+ 8],x);
_mm512_store_si512((__m512i*)&row[32*i+16],y);
_mm512_store_si512((__m512i*)&row[32*i+24],z);
}
#undef BLOCK
}
static void expand_challenge(int64_t alpha[256], const uint8_t buf[256*QBYTES]) {
int i;
__m512i f;
#if QBYTES == 3
const __mmask64 mask = _cvtu64_mask64(0x0B0B0B0B0B0B0B0Bull);
const __m512i vpermbidx = _mm512_set_epi8(-1,-1,-1,-1,-1,23,22,21,
-1,-1,-1,-1,-1,20,19,18,
-1,-1,-1,-1,-1,17,16,15,
-1,-1,-1,-1,-1,14,13,12,
-1,-1,-1,-1,-1,11,10, 9,
-1,-1,-1,-1,-1, 8, 7, 6,
-1,-1,-1,-1,-1, 5, 4, 3,
-1,-1,-1,-1,-1, 2, 1, 0);
for(i=0;i<256/8;i++) {
f = _mm512_loadu_si512((__m512i*)&buf[24*i]);
f = _mm512_maskz_permutexvar_epi8(mask,vpermbidx,f);
_mm512_store_si512((__m512i*)&alpha[8*i],f);
}
#elif QBYTES == 4
for(i=0;i<256/8;i++) {
f = _mm512_cvtepu32_epi64(_mm256_load_si256((__m256i*)&buf[32*i]));
_mm512_store_si512((__m512i*)&alpha[8*i],f);
}
#elif QBYTES == 5
const __mmask64 mask = _cvtu64_mask64(0x1F1F1F1F1F1F1F1Full);
const __m512i vpermbidx = _mm512_set_epi8(-1,-1,-1,39,38,37,36,35,
-1,-1,-1,34,33,32,31,30,
-1,-1,-1,29,28,27,26,25,
-1,-1,-1,24,23,22,21,20,
-1,-1,-1,19,18,17,16,15,
-1,-1,-1,14,13,12,11,10,
-1,-1,-1, 9, 8, 7, 6, 5,
-1,-1,-1, 4, 3, 2, 1, 0);
for(i=0;i<256/8;i++) {
f = _mm512_loadu_si512((__m512i*)&buf[40*i]);
f = _mm512_maskz_permutexvar_epi8(mask,vpermbidx,f);
_mm512_store_si512((__m512i*)&alpha[8*i],f);
}
#elif QBYTES == 6
const __mmask64 mask = _cvtu64_mask64(0x3F3F3F3F3F3F3F3Full);
const __m512i vpermbidx = _mm512_set_epi8(-1,-1,47,46,45,44,43,42,
-1,-1,41,40,39,38,37,36,
-1,-1,35,34,33,32,31,30,
-1,-1,29,28,27,26,25,24,
-1,-1,23,22,21,20,19,18,
-1,-1,17,16,15,14,13,12,
-1,-1,11,10, 9, 8, 7, 6,
-1,-1, 5, 4, 3, 2, 1, 0);
for(i=0;i<256/8;i++) {
f = _mm512_loadu_si512((__m512i*)&buf[48*i]);
f = _mm512_maskz_permutexvar_epi8(mask,vpermbidx,f);
_mm512_store_si512((__m512i*)&alpha[8*i],f);
}
#else
#error
#endif
}
void polxvec_jlproj_collapsmat(polx *r, const uint8_t *mat, size_t len, const uint8_t buf[256*QBYTES]) {
size_t i,j,k;
__m512i f,g;
const __m512i qoff = _mm512_set1_epi64(QOFF);
const __m512i mask = _mm512_set1_epi64(((uint64_t)1 << LOGQ) - 1);
const __m512i mask14 = _mm512_set1_epi64((1 << 14) - 1);
const __mmask32 oneinfour = _cvtu32_mask32(0x11111111);
__attribute__((aligned(64)))
int64_t alpha[256];
__attribute__((aligned(64)))
int64_t raw[16*N];
polz t[16];
expand_challenge(alpha,buf);
while(len >= 16) {
for(i=0;i<16*N;i++)
raw[i] = 0;
for(i=0;i<256/32;i++)
jlproj_collapsmat32(raw,&mat[32*16/8*i],16*N,&alpha[32*i]);
for(i=0;i<16;i++) {
for(j=0;j<N/8;j++) {
f = _mm512_load_si512((__m512i*)&raw[N*i+8*j]);
g = _mm512_srai_epi64(f,LOGQ);
f = _mm512_and_si512(f,mask);
g = _mm512_mul_epi32(g,qoff);
f = _mm512_add_epi64(f,g);
for(k=0;k<L-1;k++) {
g = _mm512_and_si512(f,mask14);
f = _mm512_srai_epi64(f,14);
_mm512_mask_compressstoreu_epi16(&t[i].limbs[k].c[8*j],oneinfour,g);
}
_mm512_mask_compressstoreu_epi16(&t[i].limbs[L-1].c[8*j],oneinfour,f);
}
}
polzvec_sigmam1(t,t,16);
polzvec_topolxvec(r,t,16);
r += 16;
mat += 256*16*N/8;
len -= 16;
}
if(len) {
for(i=0;i<len*N;i++)
raw[i] = 0;
for(i=0;i<256/32;i++)
jlproj_collapsmat32(raw,&mat[32*16/8*i],len*N,&alpha[32*i]);
for(i=0;i<len;i++) {
for(j=0;j<N/8;j++) {
f = _mm512_load_si512((__m512i*)&raw[N*i+8*j]);
g = _mm512_srai_epi64(f,LOGQ);
f = _mm512_and_si512(f,mask);
g = _mm512_mul_epi32(g,qoff);
f = _mm512_add_epi64(f,g);
for(k=0;k<L-1;k++) {
g = _mm512_and_si512(f,mask14);
f = _mm512_srai_epi64(f,14);
_mm512_mask_compressstoreu_epi16(&t[i].limbs[k].c[8*j],oneinfour,g);
}
_mm512_mask_compressstoreu_epi16(&t[i].limbs[L-1].c[8*j],oneinfour,f);
}
}
polzvec_sigmam1(t,t,len);
polzvec_topolxvec(r,t,len);
}
}
static inline int64_t _mm512_hsum_epi64(__m512i a) {
__m256i t;
__m128i u;
t = _mm256_add_epi64(_mm512_castsi512_si256(a),_mm512_extracti64x4_epi64(a,1));
u = _mm_add_epi64(_mm256_castsi256_si128(t),_mm256_extracti64x2_epi64(t,1));
u = _mm_add_epi64(u,_mm_unpackhi_epi64(u,u));
return _mm_cvtsi128_si64(u);
}
int64_t jlproj_collapsproj(const int32_t p[256], const uint8_t buf[256*QBYTES]) {
int i;
int64_t r,t;
__attribute__((aligned(64)))
int64_t alpha[256];
__m512i f,g,h,s;
const __m512i mask = _mm512_set1_epi64(((uint64_t)1 << LOGQ) - 1);
const __m512i qoff = _mm512_set1_epi64(QOFF);
expand_challenge(alpha,buf);
s = _mm512_setzero_si512();
for(i=0;i<256/8;i++) {
f = _mm512_cvtepi32_epi64(_mm256_loadu_si256((__m256i*)&p[8*i]));
g = _mm512_load_si512((__m512i*)&alpha[8*i]);
h = _mm512_mul_epi32(f,g);
s = _mm512_add_epi64(s,h);
#if LOGQ >= 32
h = _mm512_srli_epi32(g,31);
g = _mm512_srli_epi64(g,32);
g = _mm512_add_epi64(g,h);
f = _mm512_mul_epi32(f,g);
g = _mm512_srai_epi64(f,LOGQ-32); // 2^31
f = _mm512_slli_epi64(f,32);
f = _mm512_and_si512(f,mask);
s = _mm512_add_epi64(s,f);
g = _mm512_mul_epi32(g,qoff);
s = _mm512_add_epi64(s,g);
#endif
f = _mm512_srai_epi64(s,LOGQ);
s = _mm512_and_si512(s,mask);
f = _mm512_mul_epi32(f,qoff);
s = _mm512_add_epi64(s,f);
}
r = _mm512_hsum_epi64(s);
t = r >> LOGQ;
r &= ((int64_t)1 << LOGQ) - 1;
r += t*QOFF;
return r;
}
uint64_t jlproj_normsq(const int32_t p[256]) {
int i;
__m512i f,g,s;
s = _mm512_setzero_si512();
for(i=0;i<256/16;i++) {
f = _mm512_loadu_si512(&p[16*i]);
g = _mm512_mul_epi32(f,f);
f = _mm512_srli_epi64(f,32);
f = _mm512_mul_epi32(f,f);
f = _mm512_add_epi64(f,g);
s = _mm512_add_epi64(f,s);
}
return _mm512_hsum_epi64(s);
}