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+/*
+ * Copyright (c) 2016 Thomas Pornin <[email protected]>
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining 
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be 
+ * included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, 
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND 
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
+ * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+ * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+ * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "inner.h"
+
+/*
+ * Perform the inner processing of blocks for Poly1305. The accumulator
+ * and the r key are provided as arrays of 26-bit words (these words
+ * are allowed to have an extra bit, i.e. use 27 bits).
+ *
+ * On output, all accumulator words fit on 26 bits, except acc[1], which
+ * may be slightly larger (but by a very small amount only).
+ */
+static void
+poly1305_inner(uint32_t *acc, const uint32_t *r, const void *data, size_t len)
+{
+	/*
+	 * Implementation notes: we split the 130-bit values into five
+	 * 26-bit words. This gives us some space for carries.
+	 *
+	 * This code is inspired from the public-domain code available
+	 * on:
+	 *      https://github.com/floodyberry/poly1305-donna
+	 *
+	 * Since we compute modulo 2^130-5, the "upper words" become
+	 * low words with a factor of 5; that is, x*2^130 = x*5 mod p.
+	 */
+	const unsigned char *buf;
+	uint32_t a0, a1, a2, a3, a4;
+	uint32_t r0, r1, r2, r3, r4;
+	uint32_t u1, u2, u3, u4;
+
+	r0 = r[0];
+	r1 = r[1];
+	r2 = r[2];
+	r3 = r[3];
+	r4 = r[4];
+
+	u1 = r1 * 5;
+	u2 = r2 * 5;
+	u3 = r3 * 5;
+	u4 = r4 * 5;
+
+	a0 = acc[0];
+	a1 = acc[1];
+	a2 = acc[2];
+	a3 = acc[3];
+	a4 = acc[4];
+
+	buf = data;
+	while (len > 0) {
+		uint64_t w0, w1, w2, w3, w4;
+		uint64_t c;
+		unsigned char tmp[16];
+
+		/*
+		 * If there is a partial block, right-pad it with zeros.
+		 */
+		if (len < 16) {
+			memset(tmp, 0, sizeof tmp);
+			memcpy(tmp, buf, len);
+			buf = tmp;
+			len = 16;
+		}
+
+		/*
+		 * Decode next block and apply the "high bit"; that value
+		 * is added to the accumulator.
+		 */
+		a0 += br_dec32le(buf) & 0x03FFFFFF;
+		a1 += (br_dec32le(buf +  3) >> 2) & 0x03FFFFFF;
+		a2 += (br_dec32le(buf +  6) >> 4) & 0x03FFFFFF;
+		a3 += (br_dec32le(buf +  9) >> 6) & 0x03FFFFFF;
+		a4 += (br_dec32le(buf + 12) >> 8) | 0x01000000;
+
+		/*
+		 * Compute multiplication.
+		 */
+#define M(x, y)   ((uint64_t)(x) * (uint64_t)(y))
+
+		w0 = M(a0, r0) + M(a1, u4) + M(a2, u3) + M(a3, u2) + M(a4, u1);
+		w1 = M(a0, r1) + M(a1, r0) + M(a2, u4) + M(a3, u3) + M(a4, u2);
+		w2 = M(a0, r2) + M(a1, r1) + M(a2, r0) + M(a3, u4) + M(a4, u3);
+		w3 = M(a0, r3) + M(a1, r2) + M(a2, r1) + M(a3, r0) + M(a4, u4);
+		w4 = M(a0, r4) + M(a1, r3) + M(a2, r2) + M(a3, r1) + M(a4, r0);
+
+#undef M
+		/*
+		 * Perform some (partial) modular reduction. This step is
+		 * enough to keep values in ranges such that there won't
+		 * be carry overflows. Most of the reduction was done in
+		 * the multiplication step (by using the 'u*' values, and
+		 * using the fact that 2^130 = -5 mod p); here we perform
+		 * some carry propagation.
+		 */
+		c = w0 >> 26;
+		a0 = (uint32_t)w0 & 0x3FFFFFF;
+		w1 += c;
+		c = w1 >> 26;
+		a1 = (uint32_t)w1 & 0x3FFFFFF;
+		w2 += c;
+		c = w2 >> 26;
+		a2 = (uint32_t)w2 & 0x3FFFFFF;
+		w3 += c;
+		c = w3 >> 26;
+		a3 = (uint32_t)w3 & 0x3FFFFFF;
+		w4 += c;
+		c = w4 >> 26;
+		a4 = (uint32_t)w4 & 0x3FFFFFF;
+		a0 += (uint32_t)c * 5;
+		a1 += a0 >> 26;
+		a0 &= 0x3FFFFFF;
+
+		buf += 16;
+		len -= 16;
+	}
+
+	acc[0] = a0;
+	acc[1] = a1;
+	acc[2] = a2;
+	acc[3] = a3;
+	acc[4] = a4;
+}
+
+/* see bearssl_block.h */
+void
+br_poly1305_ctmul_run(const void *key, const void *iv,
+	void *data, size_t len, const void *aad, size_t aad_len,
+	void *tag, br_chacha20_run ichacha, int encrypt)
+{
+	unsigned char pkey[32], foot[16];
+	uint32_t r[5], acc[5], cc, ctl, hi;
+	uint64_t w;
+	int i;
+
+	/*
+	 * Compute the MAC key. The 'r' value is the first 16 bytes of
+	 * pkey[].
+	 */
+	memset(pkey, 0, sizeof pkey);
+	ichacha(key, iv, 0, pkey, sizeof pkey);
+
+	/*
+	 * If encrypting, ChaCha20 must run first, followed by Poly1305.
+	 * When decrypting, the operations are reversed.
+	 */
+	if (encrypt) {
+		ichacha(key, iv, 1, data, len);
+	}
+
+	/*
+	 * Run Poly1305. We must process the AAD, then ciphertext, then
+	 * the footer (with the lengths). Note that the AAD and ciphertext
+	 * are meant to be padded with zeros up to the next multiple of 16,
+	 * and the length of the footer is 16 bytes as well.
+	 */
+
+	/*
+	 * Decode the 'r' value into 26-bit words, with the "clamping"
+	 * operation applied.
+	 */
+	r[0] = br_dec32le(pkey) & 0x03FFFFFF;
+	r[1] = (br_dec32le(pkey +  3) >> 2) & 0x03FFFF03;
+	r[2] = (br_dec32le(pkey +  6) >> 4) & 0x03FFC0FF;
+	r[3] = (br_dec32le(pkey +  9) >> 6) & 0x03F03FFF;
+	r[4] = (br_dec32le(pkey + 12) >> 8) & 0x000FFFFF;
+
+	/*
+	 * Accumulator is 0.
+	 */
+	memset(acc, 0, sizeof acc);
+
+	/*
+	 * Process the additional authenticated data, ciphertext, and
+	 * footer in due order.
+	 */
+	br_enc64le(foot, (uint64_t)aad_len);
+	br_enc64le(foot + 8, (uint64_t)len);
+	poly1305_inner(acc, r, aad, aad_len);
+	poly1305_inner(acc, r, data, len);
+	poly1305_inner(acc, r, foot, sizeof foot);
+
+	/*
+	 * Finalise modular reduction. This is done with carry propagation
+	 * and applying the '2^130 = -5 mod p' rule. Note that the output
+	 * of poly1035_inner() is already mostly reduced, since only
+	 * acc[1] may be (very slightly) above 2^26. A single loop back
+	 * to acc[1] will be enough to make the value fit in 130 bits.
+	 */
+	cc = 0;
+	for (i = 1; i <= 6; i ++) {
+		int j;
+
+		j = (i >= 5) ? i - 5 : i;
+		acc[j] += cc;
+		cc = acc[j] >> 26;
+		acc[j] &= 0x03FFFFFF;
+	}
+
+	/*
+	 * We may still have a value in the 2^130-5..2^130-1 range, in
+	 * which case we must reduce it again. The code below selects,
+	 * in constant-time, between 'acc' and 'acc-p',
+	 */
+	ctl = GT(acc[0], 0x03FFFFFA);
+	for (i = 1; i < 5; i ++) {
+		ctl &= EQ(acc[i], 0x03FFFFFF);
+	}
+	cc = 5;
+	for (i = 0; i < 5; i ++) {
+		uint32_t t;
+
+		t = (acc[i] + cc);
+		cc = t >> 26;
+		t &= 0x03FFFFFF;
+		acc[i] = MUX(ctl, t, acc[i]);
+	}
+
+	/*
+	 * Convert back the accumulator to 32-bit words, and add the
+	 * 's' value (second half of pkey[]). That addition is done
+	 * modulo 2^128.
+	 */
+	w = (uint64_t)acc[0] + ((uint64_t)acc[1] << 26) + br_dec32le(pkey + 16);
+	br_enc32le((unsigned char *)tag, (uint32_t)w);
+	w = (w >> 32) + ((uint64_t)acc[2] << 20) + br_dec32le(pkey + 20);
+	br_enc32le((unsigned char *)tag + 4, (uint32_t)w);
+	w = (w >> 32) + ((uint64_t)acc[3] << 14) + br_dec32le(pkey + 24);
+	br_enc32le((unsigned char *)tag + 8, (uint32_t)w);
+	hi = (uint32_t)(w >> 32) + (acc[4] << 8) + br_dec32le(pkey + 28);
+	br_enc32le((unsigned char *)tag + 12, hi);
+
+	/*
+	 * If decrypting, then ChaCha20 runs _after_ Poly1305.
+	 */
+	if (!encrypt) {
+		ichacha(key, iv, 1, data, len);
+	}
+}