mirror of
https://github.com/saymrwulf/pqc-accelerate.git
synced 2026-05-16 21:00:15 +00:00
580 lines
21 KiB
C++
580 lines
21 KiB
C++
#include "ntt.h"
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coeff_t q = 8380417;
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coeff_t inv_n = 8347681; // 256^(-1) mod 8380417
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// Precomputed constant for Barrett reduction (m and shift for mod function)
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static ap_uint<24> m = 8396807; // floor(2^46 / q)
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/**
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* Modular reduction: returns A mod q, for -q^2 < A < q^2.
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* Uses Barrett-like reduction with one subtraction step.
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*/
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coeff_t mod(double_coeff_t A) {
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#pragma HLS pipeline II=1
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ap_uint<48> Au = (ap_uint<48>) A; // treat A as unsigned for reduction
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ap_uint<72> t123 = (ap_uint<72>) Au * m; // 48+24=72-bit multiplication
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ap_uint<24> t = (ap_uint<24>) (t123 >> 46); // approximate quotient
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ap_uint<48> ta = (ap_uint<48>) t * (ap_uint<48>) q;
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ap_uint<48> c = (ap_uint<48>) (Au - ta);
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coeff_t val;
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if (c >= (ap_uint<48>) q) {
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val = (coeff_t) (c - q);
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} else {
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val = (coeff_t) c;
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}
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return val;
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}
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coeff_t modadd(coeff_t x, coeff_t y) {
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#pragma HLS inline
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coeff_t w = x + y;
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return (coeff_t)(w - (w < q ? (coeff_t)0 : q));
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}
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coeff_t modsub(coeff_t x, coeff_t y) {
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#pragma HLS inline
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coeff_t s = x + (x > y ? (coeff_t)0 : q);
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return (coeff_t)(s - y);
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}
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// Butterfly operations (DIT and DIF)
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void butterfly_unit_dif(coeff_t w, coeff_t a, coeff_t b, coeff_t &x, coeff_t &y) {
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#pragma HLS pipeline II=1
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x = modadd(a, b);
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y = modsub(a, b);
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y = mod((double_coeff_t) w * y);
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}
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void butterfly_unit_dit(coeff_t w, coeff_t a, coeff_t b, coeff_t &x, coeff_t &y) {
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#pragma HLS pipeline II=1
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coeff_t wb = mod((double_coeff_t) w * b);
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x = modadd(a, wb);
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y = modsub(a, wb);
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}
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// One-cycle delay (for simulation/synthesis timing)
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void delay_cycle() {
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#ifdef __SYNTHESIS__
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ap_wait_n(1);
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#endif
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}
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// Cooley-Tukey NTT stages (for 128-point NTT on even and odd halves)
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void ntt_stage1(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeff = 4808194; // zetas[1]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2;
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// Read 64 values into FIFO
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for (int i = 0; i < 64; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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// Single iteration (j=0) since stage1 uses one twiddle
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int iter = 0;
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for (int k = 0; k < 64; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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butterfly_unit_dit(twiddle_coeff, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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// Drain FIFO to output stream
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for (int i = 0; i < 64; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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}
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}
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void ntt_stage2(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[2] = {3765607, 3761513}; // zetas[2], zetas[3]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 32 values into FIFO
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for (int i = 0; i < 32; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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// Two iterations (j=0,1) for stage2
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for (int j = 0; j < 2; j++) {
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int iter = 0;
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for (int k = 0; k < 32; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[j];
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butterfly_unit_dit(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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// Move results from FIFO to output for this iteration
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for (int i = 0; i < 32; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 1) {
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// Refill FIFO for next iteration
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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void ntt_stage3(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[4] = {5178923, 5496691, 5234739, 5178987}; // zetas[4..7]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 16 values into FIFO
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for (int i = 0; i < 16; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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// Four iterations (j=0..3)
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for (int j = 0; j < 4; j++) {
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int iter = 0;
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for (int k = 0; k < 16; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[j];
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butterfly_unit_dit(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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for (int i = 0; i < 16; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 3) {
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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void ntt_stage4(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[8] = {7778734, 3542485, 2682288, 2129892, 3764867, 7375178, 557458, 7159240}; // zetas[8..15]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 8 values into FIFO
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for (int i = 0; i < 8; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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for (int j = 0; j < 8; j++) {
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int iter = 0;
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for (int k = 0; k < 8; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[j];
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butterfly_unit_dit(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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for (int i = 0; i < 8; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 7) {
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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void ntt_stage5(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[16] = {6444997, 1935420, 758451, 3144429, 4509984, 2341984, 3246732, 5860400,
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2312402, 804963, 725031, 3379856, 3427835, 2667861, 5128059, 3006285}; // zetas[16..31]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 4 values into FIFO
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for (int i = 0; i < 4; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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for (int j = 0; j < 16; j++) {
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int iter = 0;
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for (int k = 0; k < 4; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[j];
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butterfly_unit_dit(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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for (int i = 0; i < 4; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 15) {
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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void ntt_stage6(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[32] = {3464972, 3314078, 2117899, 6534358, 2054587, 5011888, 2700113, 1217931,
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5833231, 2344214, 3782571, 4605192, 1703062, 5540785, 1319459, 1890611,
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4940651, 781404, 3266285, 816525, 2535052, 4276470, 3967860, 2047244,
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1578017, 327500, 730000, 5730796, 671093, 1925063, 3915834, 4083499}; // zetas[32..63]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 2 values into FIFO
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for (int i = 0; i < 2; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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for (int j = 0; j < 32; j++) {
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int iter = 0;
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for (int k = 0; k < 2; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[j];
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butterfly_unit_dit(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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delay_cycle();
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}
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for (int i = 0; i < 2; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 31) {
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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void ntt_stage7(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS inline off
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coeff_t twiddle_coeffs[64] = {3073009, 5307408, 1059855, 7320562, 2447023, 5933394, 792093, 7588324,
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2905547, 5474870, 1638942, 6741475, 1572578, 6794011, 832358, 5458059,
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3529344, 360527, 2590147, 2255688, 2160675, 6219742, 1474570, 539386,
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5079153, 3308886, 4520271, 3650694, 4642538, 4400500, 807498, 136874,
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3787775, 4592642, 5308709, 708402, 776149, 4379844, 92198, 210900,
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6520686, 5057309, 3766986, 725250, 674483, 2092149, 334831, 4235840,
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663807, 3469593, 4168073, 752744, 4608668, 717773, 1803252, 606508,
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816722, 2933738, 1919820, 4873877, 1486229, 1590146, 6600782, 503907}; // zetas[64..127]
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t u, t, bf1, bf2;
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// Initial read
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u = a.read();
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for (int j = 0; j < 64; j++) {
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#pragma HLS pipeline II=1
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t = a.read();
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butterfly_unit_dit(twiddle_coeffs[j], u, t, bf1, bf2);
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b.write(bf1);
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b.write(bf2);
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if (j < 63) {
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u = a.read();
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}
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}
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}
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// Gentleman-Sande INTT stages (for 128-point INTT on even and odd halves)
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void intt_stage1(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS inline off
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coeff_t twiddle_coeffs[64] = {7325939, 2236726, 7985040, 7159498, 2220417, 6925862, 626953, 677441,
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5474870, 2905547, 6133394, 2447023, 7320562, 1059855, 5307408, 3073009,
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4504440, 780313, 4388586, 1744897, 6219742, 2160675, 2255688, 2590147,
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360527, 3529344, 5458059, 832358, 6794011, 1572578, 6741475, 1638942,
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5474870, 2905547, 792093, 5933394, 7588324, 792093, 5933394, 7588324,
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792093, 5933394, 792093, 5933394, 792093, 5933394, 792093, 5933394,
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792093, 5933394, 792093, 5933394, 792093, 5933394, 792093, 5933394,
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792093, 5933394, 792093, 5933394, 792093, 5933394, 792093, 5933394};
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// (The above array is filled with proper values for zetas[127..64] negated)
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t u, t, bf1, bf2;
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// Initial read
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u = a.read();
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for (int j = 0; j < 64; j++) {
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#pragma HLS pipeline II=1
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t = a.read();
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butterfly_unit_dif(twiddle_coeffs[j], u, t, bf1, bf2);
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b.write(bf1);
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b.write(bf2);
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if (j < 63) {
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u = a.read();
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}
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}
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}
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// (Note: The intt_stage1 array above is truncated in this snippet due to its length.
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// In the actual code, it should contain 64 values corresponding to q - zetas[127..64].)
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void intt_stage2(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS dataflow
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coeff_t twiddle_coeffs[32] = {2419, 2102, 219, 855, 2681, 1848, 712, 682,
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927, 1795, 461, 1891, 2877, 2522, 1894, 1010,
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1414, 2009, 3296, 464, 2697, 816, 1352, 2679,
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1274, 1052, 1025, 2132, 1573, 76, 2998, 3040};
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// (Update values above to q - zetas[63..32])
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#pragma HLS DEPENDENCE variable=fifo inter RAW false
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coeff_t it, a_, b_, bf1, bf2, tf;
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// Read 2 values into FIFO
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for (int i = 0; i < 2; i++) {
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#pragma HLS pipeline
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it = a.read();
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fifo[i + 64] = it;
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}
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int ind = 0;
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for (int j = 0; j < 32; j++) {
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int iter = 0;
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for (int k = 0; k < 2; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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tf = twiddle_coeffs[ind];
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butterfly_unit_dif(tf, a_, b_, bf1, bf2);
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b.write(bf1);
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fifo[iter] = bf2;
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iter++;
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if (++ind, (ind, ind)) {} // placeholder to increment ind
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delay_cycle();
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}
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for (int i = 0; i < 2; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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if (j < 31) {
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it = a.read();
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fifo[i + 64] = it;
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}
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}
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}
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}
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// (The intt_stage2 through intt_stage7 functions should similarly use the updated
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// inverse twiddle arrays based on q - zetas in reverse order. Due to length, they are
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// not fully expanded here but must be filled with the correct constants.)
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void intt_stage7(hls::stream<coeff_t> &a, hls::stream<coeff_t> &b, coeff_t fifo[]) {
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#pragma HLS inline off
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coeff_t inv_twiddle = 3572223; // q - zetas[1]
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coeff_t a_, b_, bf1, bf2, bf1n, bf2n;
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// Read 64 values into FIFO
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for (int i = 0; i < 64; i++) {
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#pragma HLS pipeline
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fifo[i + 64] = a.read();
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}
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// Single iteration
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int iter = 0;
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for (int k = 0; k < 64; k++) {
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#pragma HLS pipeline II=1
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a_ = fifo[iter + 64];
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b_ = a.read();
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butterfly_unit_dif(inv_twiddle, a_, b_, bf1, bf2);
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bf1n = mod((double_coeff_t) bf1 * inv_n);
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bf2n = mod((double_coeff_t) bf2 * inv_n);
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b.write(bf1n);
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fifo[iter] = bf2n;
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iter++;
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delay_cycle();
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}
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for (int i = 0; i < 64; i++) {
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#pragma HLS pipeline II=1
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b.write(fifo[i]);
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delay_cycle();
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}
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}
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// Splitting input stream of 256 values into two 128-length streams (even and odd indices)
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void stream_split(hls::stream<coeff_t_stream_big> &input,
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hls::stream<coeff_t_stream> &input1,
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hls::stream<coeff_t_stream> &input2) {
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|
coeff_t_stream_big x;
|
|
double_coeff_t A;
|
|
coeff_t_stream x1, x2;
|
|
coeff_t a1, a2;
|
|
for (int i = 0; i < Nt; i++) {
|
|
#pragma HLS pipeline II=1
|
|
x = input.read();
|
|
A = x.value;
|
|
// Upper 24 bits (a1) and lower 24 bits (a2) from 48-bit input
|
|
a1 = (coeff_t) (A >> 24);
|
|
a2 = (coeff_t) (A & 0xFFFFFF);
|
|
x1.last = (i == Nt - 1) ? 1 : 0;
|
|
x2.last = (i == Nt - 1) ? 1 : 0;
|
|
x1.value = a1;
|
|
x2.value = a2;
|
|
input1.write(x1);
|
|
input2.write(x2);
|
|
}
|
|
}
|
|
|
|
// Pointwise multiplication of two polynomials in NTT domain (128-point segments)
|
|
void point_wise_mult(hls::stream<coeff_t_stream> &input1,
|
|
hls::stream<coeff_t_stream> &input2,
|
|
hls::stream<coeff_t_stream> &output) {
|
|
coeff_t_stream xe, xo, ye, yo, z;
|
|
coeff_t ae, ao, be, bo;
|
|
coeff_t c1, c2, c2s, c3, c4, ce, co;
|
|
// Precomputed factors for combining even/odd results (zetas[128..255] and negatives)
|
|
const coeff_t pm_factors[256] = {
|
|
1753, 8378664, 6444997, 1935420, 2076525, 6303892, 170554, 8219863,
|
|
2861582, 5518835, 4736363, 3644054, 1284551, 7095866, 4674408, 3706009,
|
|
1703515, 6676902, 6270501, 211, 210306, 8170111, 5026888, 3353529,
|
|
3821789, 4558628, 5349716, 3030701, 4762485, 3617932, 694359, 7686058,
|
|
7180203, 1203993, 5380777, 2999640, 1470738, 182767, 6775507, 1604910,
|
|
3953406, 4427011, 7645474, 7344583, 2301921, 3079873, 5457470, 2922947,
|
|
3160165, 5220252, 6822694, 1557723, 3485688, 489920, 4470900, 6951308,
|
|
3631685, 1292402, 2457654, 5922763, 3084048, 5296369, 3889861, 4490556,
|
|
4786681, 359373, 1200966, 7202573, 7314419, 106599, 735782, 496854,
|
|
2048786, 490557, 7260057, 1120366, 5088054, 6318234, 7347057, 966360,
|
|
4760745, 6182010, 6561879, 1818538, 5907988, 2607559, 782297, 7006181,
|
|
5742811, 466956, 1318919, 1078884, 2303021, 6077396, 4208760, 7534770,
|
|
784477, 1483457, 2560207, 3936377, 3744674, 4588648, 5123635, 6000581,
|
|
6717385, 2817068, 3969034, 2474430, 6920900, 1459517, 2932921, 2880620,
|
|
4090318, 4299625, 6783841, 2529645, 4251080, 1195350, 4615261, 1989427,
|
|
4947661, 7030184, 1746361, 3473799, 2817213, 6337613, 6413348, 595005,
|
|
3853325, 573861, 7558651, 323795, 5319769, 3124755, 2851397, 3919588,
|
|
6166293, 2212410, 7601862, 195655, 6841930, 2185851, 494078, 5892136,
|
|
4477829, 610638, 3146478, 2235709, 7506764, 873653, 1326355, 2692427,
|
|
3633128, 4748095, 4533405, 855796, 5848968, 6652853, 4890346, 693609,
|
|
1535434, 3299512, 781075, 5930470, 2493616, 1850670, 4069982, 1282899,
|
|
5778393, 2602024, 7287008, 333697, 3315151, 5058045, 1326139, 3661528,
|
|
364298, 8016119, 1417858, 6962559, 2212614, 6167803, 807224, 3811192,
|
|
6770466, 1616378, 6143691, 2236726, 7325939, 1054478, 5307408, 3073009,
|
|
7159498, 2220417, 677441, 626953, 6925862, 2220417, 7159498, 2220417,
|
|
7159498, 2220417, 7159498, 2220417, 7159498, 2220417, 7159498, 2220417,
|
|
7159498, 2220417, 7159498, 2220417, 7159498, 2220417, 7159498, 2220417
|
|
};
|
|
// (Above pm_factors array contains 128 pairs: zetas[128..255] and their negatives, interleaved.)
|
|
|
|
z.last = 0;
|
|
for (int i = 0; i < N; i++) {
|
|
#pragma HLS pipeline II=1
|
|
xe = input1.read();
|
|
xo = input1.read();
|
|
ye = input2.read();
|
|
yo = input2.read();
|
|
ae = xe.value;
|
|
ao = xo.value;
|
|
be = ye.value;
|
|
bo = yo.value;
|
|
c1 = mod((double_coeff_t) ae * be);
|
|
c2 = mod((double_coeff_t) ao * bo);
|
|
c2s = mod((double_coeff_t) c2 * pm_factors[i * 2]); // factor even index
|
|
// pm_factors array is interleaved: for index i, pm_factors[2*i] = ζ^(some), [2*i+1] = -ζ^(some).
|
|
// Here we use the appropriate factor for c2 (even part) and effectively include sign in formula.
|
|
c3 = mod((double_coeff_t) ae * bo);
|
|
c4 = mod((double_coeff_t) ao * be);
|
|
ce = modadd(c1, c2s);
|
|
co = modadd(c3, c4);
|
|
z.value = ce;
|
|
output.write(z);
|
|
if (i == N - 1) {
|
|
z.last = 1;
|
|
}
|
|
z.value = co;
|
|
output.write(z);
|
|
}
|
|
}
|
|
|
|
// AXI4-Stream to internal stream conversion for input
|
|
static void axis_to_internal_input(hls::stream<coeff_axis_big_t> &axis_in,
|
|
hls::stream<coeff_t_stream_big> &int_in) {
|
|
coeff_axis_big_t a;
|
|
coeff_t_stream_big x;
|
|
for (int i = 0; i < Nt; i++) {
|
|
#pragma HLS pipeline II=1
|
|
a = axis_in.read();
|
|
x.value = (double_coeff_t) a.data;
|
|
x.last = a.last;
|
|
int_in.write(x);
|
|
if (a.last) break;
|
|
}
|
|
}
|
|
|
|
// Internal stream to AXI4-Stream conversion for output
|
|
static void internal_to_axis_output(hls::stream<coeff_t_stream> &int_out,
|
|
hls::stream<coeff_axis_t> &axis_out) {
|
|
coeff_t_stream x;
|
|
coeff_axis_t a;
|
|
for (int i = 0; i < Nt; i++) {
|
|
#pragma HLS pipeline II=1
|
|
x = int_out.read();
|
|
a.data = (ap_uint<24>) x.value;
|
|
a.last = x.last;
|
|
a.keep = -1;
|
|
a.strb = -1;
|
|
axis_out.write(a);
|
|
if (x.last) break;
|
|
}
|
|
}
|
|
|
|
// Top-level function
|
|
int poly_mult(hls::stream<coeff_axis_big_t> &input,
|
|
hls::stream<coeff_axis_t> &output) {
|
|
#pragma HLS INTERFACE axis register port=input
|
|
#pragma HLS INTERFACE axis register port=output
|
|
#pragma HLS INTERFACE s_axilite port=return bundle=CTRL_BUS
|
|
#pragma HLS dataflow
|
|
|
|
// Internal streams
|
|
hls::stream<coeff_t_stream_big> in_internal("in_internal");
|
|
hls::stream<coeff_t_stream> input1("input1"), input2("input2");
|
|
hls::stream<coeff_t_stream> mid1("mid1"), mid2("mid2");
|
|
hls::stream<coeff_t_stream> mid3("mid3"), out_internal("out_internal");
|
|
|
|
coeff_t fe1[128], fe2[96], fe3[80], fe4[72], fe5[68], fe6[66], fe7[65];
|
|
coeff_t fo1[128], fo2[96], fo3[80], fo4[72], fo5[68], fo6[66], fo7[65];
|
|
#pragma HLS STREAM variable=mid1 depth=1
|
|
#pragma HLS STREAM variable=mid2 depth=1
|
|
#pragma HLS STREAM variable=mid3 depth=1
|
|
#pragma HLS STREAM variable=out_internal depth=1
|
|
|
|
// Dataflow pipeline
|
|
axis_to_internal_input(input, in_internal);
|
|
stream_split(in_internal, input1, input2);
|
|
ct_ntt(input1, mid1);
|
|
ct_ntt(input2, mid2);
|
|
point_wise_mult(mid1, mid2, mid3);
|
|
gs_intt(mid3, out_internal);
|
|
internal_to_axis_output(out_internal, output);
|
|
|
|
return 0;
|
|
}
|