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/*	$OpenBSD: poly1305.c,v 1.2 2020/07/22 13:54:30 tobhe Exp $	*/
/*
 * Public Domain poly1305 from Andrew Moon
 * Based on poly1305-donna.c, poly1305-donna-32.h and poly1305-donna.h from:
 *   https://github.com/floodyberry/poly1305-donna
 */

#include <sys/types.h>
#include <sys/systm.h>

#include "poly1305.h"

/*
 * poly1305 implementation using 32 bit * 32 bit = 64 bit multiplication
 * and 64 bit addition.
 */

/* interpret four 8 bit unsigned integers as a 32 bit unsigned integer in little endian */
static unsigned long
U8TO32(const unsigned char *p)
{
	return (((unsigned long)(p[0] & 0xff)) |
	    ((unsigned long)(p[1] & 0xff) <<  8) |
	    ((unsigned long)(p[2] & 0xff) << 16) |
	    ((unsigned long)(p[3] & 0xff) << 24));
}

/* store a 32 bit unsigned integer as four 8 bit unsigned integers in little endian */
static void
U32TO8(unsigned char *p, unsigned long v)
{
	p[0] = (v) & 0xff;
	p[1] = (v >>  8) & 0xff;
	p[2] = (v >> 16) & 0xff;
	p[3] = (v >> 24) & 0xff;
}

void
poly1305_init(poly1305_state *st, const unsigned char key[32])
{
	/* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
	st->r[0] = (U8TO32(&key[0])) & 0x3ffffff;
	st->r[1] = (U8TO32(&key[3]) >> 2) & 0x3ffff03;
	st->r[2] = (U8TO32(&key[6]) >> 4) & 0x3ffc0ff;
	st->r[3] = (U8TO32(&key[9]) >> 6) & 0x3f03fff;
	st->r[4] = (U8TO32(&key[12]) >> 8) & 0x00fffff;

	/* h = 0 */
	st->h[0] = 0;
	st->h[1] = 0;
	st->h[2] = 0;
	st->h[3] = 0;
	st->h[4] = 0;

	/* save pad for later */
	st->pad[0] = U8TO32(&key[16]);
	st->pad[1] = U8TO32(&key[20]);
	st->pad[2] = U8TO32(&key[24]);
	st->pad[3] = U8TO32(&key[28]);

	st->leftover = 0;
	st->final = 0;
}

static void
poly1305_blocks(poly1305_state *st, const unsigned char *m, size_t bytes)
{
	const unsigned long hibit = (st->final) ? 0 : (1 << 24); /* 1 << 128 */
	unsigned long r0, r1, r2, r3, r4;
	unsigned long s1, s2, s3, s4;
	unsigned long h0, h1, h2, h3, h4;
	unsigned long long d0, d1, d2, d3, d4;
	unsigned long c;

	r0 = st->r[0];
	r1 = st->r[1];
	r2 = st->r[2];
	r3 = st->r[3];
	r4 = st->r[4];

	s1 = r1 * 5;
	s2 = r2 * 5;
	s3 = r3 * 5;
	s4 = r4 * 5;

	h0 = st->h[0];
	h1 = st->h[1];
	h2 = st->h[2];
	h3 = st->h[3];
	h4 = st->h[4];

	while (bytes >= poly1305_block_size) {
		/* h += m[i] */
		h0 += (U8TO32(m + 0)) & 0x3ffffff;
		h1 += (U8TO32(m + 3) >> 2) & 0x3ffffff;
		h2 += (U8TO32(m + 6) >> 4) & 0x3ffffff;
		h3 += (U8TO32(m + 9) >> 6) & 0x3ffffff;
		h4 += (U8TO32(m + 12) >> 8) | hibit;

		/* h *= r */
		d0 = ((unsigned long long)h0 * r0) +
		    ((unsigned long long)h1 * s4) +
		    ((unsigned long long)h2 * s3) +
		    ((unsigned long long)h3 * s2) +
		    ((unsigned long long)h4 * s1);
		d1 = ((unsigned long long)h0 * r1) +
		    ((unsigned long long)h1 * r0) +
		    ((unsigned long long)h2 * s4) +
		    ((unsigned long long)h3 * s3) +
		    ((unsigned long long)h4 * s2);
		d2 = ((unsigned long long)h0 * r2) +
		    ((unsigned long long)h1 * r1) +
		    ((unsigned long long)h2 * r0) +
		    ((unsigned long long)h3 * s4) +
		    ((unsigned long long)h4 * s3);
		d3 = ((unsigned long long)h0 * r3) +
		    ((unsigned long long)h1 * r2) +
		    ((unsigned long long)h2 * r1) +
		    ((unsigned long long)h3 * r0) +
		    ((unsigned long long)h4 * s4);
		d4 = ((unsigned long long)h0 * r4) +
		    ((unsigned long long)h1 * r3) +
		    ((unsigned long long)h2 * r2) +
		    ((unsigned long long)h3 * r1) +
		    ((unsigned long long)h4 * r0);

		/* (partial) h %= p */
		c = (unsigned long)(d0 >> 26);
		h0 = (unsigned long)d0 & 0x3ffffff;
		d1 += c;
		c = (unsigned long)(d1 >> 26);
		h1 = (unsigned long)d1 & 0x3ffffff;
		d2 += c;
		c = (unsigned long)(d2 >> 26);
		h2 = (unsigned long)d2 & 0x3ffffff;
		d3 += c;
		c = (unsigned long)(d3 >> 26);
		h3 = (unsigned long)d3 & 0x3ffffff;
		d4 += c;
		c = (unsigned long)(d4 >> 26);
		h4 = (unsigned long)d4 & 0x3ffffff;
		h0 += c * 5;
		c = (h0 >> 26);
		h0 = h0 & 0x3ffffff;
		h1 += c;

		m += poly1305_block_size;
		bytes -= poly1305_block_size;
	}

	st->h[0] = h0;
	st->h[1] = h1;
	st->h[2] = h2;
	st->h[3] = h3;
	st->h[4] = h4;
}

void
poly1305_update(poly1305_state *st, const unsigned char *m, size_t bytes)
{
	size_t i;

	/* handle leftover */
	if (st->leftover) {
		size_t want = (poly1305_block_size - st->leftover);
		if (want > bytes)
			want = bytes;
		for (i = 0; i < want; i++)
			st->buffer[st->leftover + i] = m[i];
		bytes -= want;
		m += want;
		st->leftover += want;
		if (st->leftover < poly1305_block_size)
			return;
		poly1305_blocks(st, st->buffer, poly1305_block_size);
		st->leftover = 0;
	}

	/* process full blocks */
	if (bytes >= poly1305_block_size) {
		size_t want = (bytes & ~(poly1305_block_size - 1));
		poly1305_blocks(st, m, want);
		m += want;
		bytes -= want;
	}

	/* store leftover */
	if (bytes) {
		for (i = 0; i < bytes; i++)
			st->buffer[st->leftover + i] = m[i];
		st->leftover += bytes;
	}
}

void
poly1305_finish(poly1305_state *st, unsigned char mac[16])
{
	unsigned long h0, h1, h2, h3, h4, c;
	unsigned long g0, g1, g2, g3, g4;
	unsigned long long f;
	unsigned long mask;

	/* process the remaining block */
	if (st->leftover) {
		size_t i = st->leftover;
		st->buffer[i++] = 1;
		for (; i < poly1305_block_size; i++)
			st->buffer[i] = 0;
		st->final = 1;
		poly1305_blocks(st, st->buffer, poly1305_block_size);
	}

	/* fully carry h */
	h0 = st->h[0];
	h1 = st->h[1];
	h2 = st->h[2];
	h3 = st->h[3];
	h4 = st->h[4];

	c = h1 >> 26;
	h1 = h1 & 0x3ffffff;
	h2 += c;
	c = h2 >> 26;
	h2 = h2 & 0x3ffffff;
	h3 += c;
	c = h3 >> 26;
	h3 = h3 & 0x3ffffff;
	h4 += c;
	c = h4 >> 26;
	h4 = h4 & 0x3ffffff;
	h0 += c * 5;
	c = h0 >> 26;
	h0 = h0 & 0x3ffffff;
	h1 += c;

	/* compute h + -p */
	g0 = h0 + 5;
	c = g0 >> 26;
	g0 &= 0x3ffffff;
	g1 = h1 + c;
	c = g1 >> 26;
	g1 &= 0x3ffffff;
	g2 = h2 + c;
	c = g2 >> 26;
	g2 &= 0x3ffffff;
	g3 = h3 + c;
	c = g3 >> 26;
	g3 &= 0x3ffffff;
	g4 = h4 + c - (1 << 26);

	/* select h if h < p, or h + -p if h >= p */
	mask = (g4 >> ((sizeof(unsigned long) * 8) - 1)) - 1;
	g0 &= mask;
	g1 &= mask;
	g2 &= mask;
	g3 &= mask;
	g4 &= mask;
	mask = ~mask;
	h0 = (h0 & mask) | g0;
	h1 = (h1 & mask) | g1;
	h2 = (h2 & mask) | g2;
	h3 = (h3 & mask) | g3;
	h4 = (h4 & mask) | g4;

	/* h = h % (2^128) */
	h0 = ((h0) | (h1 << 26)) & 0xffffffff;
	h1 = ((h1 >>  6) | (h2 << 20)) & 0xffffffff;
	h2 = ((h2 >> 12) | (h3 << 14)) & 0xffffffff;
	h3 = ((h3 >> 18) | (h4 <<  8)) & 0xffffffff;

	/* mac = (h + pad) % (2^128) */
	f = (unsigned long long)h0 + st->pad[0];
	h0 = (unsigned long)f;
	f = (unsigned long long)h1 + st->pad[1] + (f >> 32);
	h1 = (unsigned long)f;
	f = (unsigned long long)h2 + st->pad[2] + (f >> 32);
	h2 = (unsigned long)f;
	f = (unsigned long long)h3 + st->pad[3] + (f >> 32);
	h3 = (unsigned long)f;

	U32TO8(mac +  0, h0);
	U32TO8(mac +  4, h1);
	U32TO8(mac +  8, h2);
	U32TO8(mac + 12, h3);

	/* zero out the state */
	st->h[0] = 0;
	st->h[1] = 0;
	st->h[2] = 0;
	st->h[3] = 0;
	st->h[4] = 0;
	st->r[0] = 0;
	st->r[1] = 0;
	st->r[2] = 0;
	st->r[3] = 0;
	st->r[4] = 0;
	st->pad[0] = 0;
	st->pad[1] = 0;
	st->pad[2] = 0;
	st->pad[3] = 0;
}