| // Copyright 2012 The Go Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style |
| // license that can be found in the LICENSE file. |
| |
| package poly1305 |
| |
| import "encoding/binary" |
| |
| // sumGeneric generates an authenticator for msg using a one-time key and |
| // puts the 16-byte result into out. This is the generic implementation of |
| // Sum and should be called if no assembly implementation is available. |
| func sumGeneric(out *[TagSize]byte, msg []byte, key *[32]byte) { |
| var ( |
| h0, h1, h2, h3, h4 uint32 // the hash accumulators |
| r0, r1, r2, r3, r4 uint64 // the r part of the key |
| ) |
| |
| r0 = uint64(binary.LittleEndian.Uint32(key[0:]) & 0x3ffffff) |
| r1 = uint64((binary.LittleEndian.Uint32(key[3:]) >> 2) & 0x3ffff03) |
| r2 = uint64((binary.LittleEndian.Uint32(key[6:]) >> 4) & 0x3ffc0ff) |
| r3 = uint64((binary.LittleEndian.Uint32(key[9:]) >> 6) & 0x3f03fff) |
| r4 = uint64((binary.LittleEndian.Uint32(key[12:]) >> 8) & 0x00fffff) |
| |
| R1, R2, R3, R4 := r1*5, r2*5, r3*5, r4*5 |
| |
| for len(msg) >= TagSize { |
| // h += msg |
| h0 += binary.LittleEndian.Uint32(msg[0:]) & 0x3ffffff |
| h1 += (binary.LittleEndian.Uint32(msg[3:]) >> 2) & 0x3ffffff |
| h2 += (binary.LittleEndian.Uint32(msg[6:]) >> 4) & 0x3ffffff |
| h3 += (binary.LittleEndian.Uint32(msg[9:]) >> 6) & 0x3ffffff |
| h4 += (binary.LittleEndian.Uint32(msg[12:]) >> 8) | (1 << 24) |
| |
| // h *= r |
| d0 := (uint64(h0) * r0) + (uint64(h1) * R4) + (uint64(h2) * R3) + (uint64(h3) * R2) + (uint64(h4) * R1) |
| d1 := (d0 >> 26) + (uint64(h0) * r1) + (uint64(h1) * r0) + (uint64(h2) * R4) + (uint64(h3) * R3) + (uint64(h4) * R2) |
| d2 := (d1 >> 26) + (uint64(h0) * r2) + (uint64(h1) * r1) + (uint64(h2) * r0) + (uint64(h3) * R4) + (uint64(h4) * R3) |
| d3 := (d2 >> 26) + (uint64(h0) * r3) + (uint64(h1) * r2) + (uint64(h2) * r1) + (uint64(h3) * r0) + (uint64(h4) * R4) |
| d4 := (d3 >> 26) + (uint64(h0) * r4) + (uint64(h1) * r3) + (uint64(h2) * r2) + (uint64(h3) * r1) + (uint64(h4) * r0) |
| |
| // h %= p |
| h0 = uint32(d0) & 0x3ffffff |
| h1 = uint32(d1) & 0x3ffffff |
| h2 = uint32(d2) & 0x3ffffff |
| h3 = uint32(d3) & 0x3ffffff |
| h4 = uint32(d4) & 0x3ffffff |
| |
| h0 += uint32(d4>>26) * 5 |
| h1 += h0 >> 26 |
| h0 = h0 & 0x3ffffff |
| |
| msg = msg[TagSize:] |
| } |
| |
| if len(msg) > 0 { |
| var block [TagSize]byte |
| off := copy(block[:], msg) |
| block[off] = 0x01 |
| |
| // h += msg |
| h0 += binary.LittleEndian.Uint32(block[0:]) & 0x3ffffff |
| h1 += (binary.LittleEndian.Uint32(block[3:]) >> 2) & 0x3ffffff |
| h2 += (binary.LittleEndian.Uint32(block[6:]) >> 4) & 0x3ffffff |
| h3 += (binary.LittleEndian.Uint32(block[9:]) >> 6) & 0x3ffffff |
| h4 += (binary.LittleEndian.Uint32(block[12:]) >> 8) |
| |
| // h *= r |
| d0 := (uint64(h0) * r0) + (uint64(h1) * R4) + (uint64(h2) * R3) + (uint64(h3) * R2) + (uint64(h4) * R1) |
| d1 := (d0 >> 26) + (uint64(h0) * r1) + (uint64(h1) * r0) + (uint64(h2) * R4) + (uint64(h3) * R3) + (uint64(h4) * R2) |
| d2 := (d1 >> 26) + (uint64(h0) * r2) + (uint64(h1) * r1) + (uint64(h2) * r0) + (uint64(h3) * R4) + (uint64(h4) * R3) |
| d3 := (d2 >> 26) + (uint64(h0) * r3) + (uint64(h1) * r2) + (uint64(h2) * r1) + (uint64(h3) * r0) + (uint64(h4) * R4) |
| d4 := (d3 >> 26) + (uint64(h0) * r4) + (uint64(h1) * r3) + (uint64(h2) * r2) + (uint64(h3) * r1) + (uint64(h4) * r0) |
| |
| // h %= p |
| h0 = uint32(d0) & 0x3ffffff |
| h1 = uint32(d1) & 0x3ffffff |
| h2 = uint32(d2) & 0x3ffffff |
| h3 = uint32(d3) & 0x3ffffff |
| h4 = uint32(d4) & 0x3ffffff |
| |
| h0 += uint32(d4>>26) * 5 |
| h1 += h0 >> 26 |
| h0 = h0 & 0x3ffffff |
| } |
| |
| // h %= p reduction |
| h2 += h1 >> 26 |
| h1 &= 0x3ffffff |
| h3 += h2 >> 26 |
| h2 &= 0x3ffffff |
| h4 += h3 >> 26 |
| h3 &= 0x3ffffff |
| h0 += 5 * (h4 >> 26) |
| h4 &= 0x3ffffff |
| h1 += h0 >> 26 |
| h0 &= 0x3ffffff |
| |
| // h - p |
| t0 := h0 + 5 |
| t1 := h1 + (t0 >> 26) |
| t2 := h2 + (t1 >> 26) |
| t3 := h3 + (t2 >> 26) |
| t4 := h4 + (t3 >> 26) - (1 << 26) |
| t0 &= 0x3ffffff |
| t1 &= 0x3ffffff |
| t2 &= 0x3ffffff |
| t3 &= 0x3ffffff |
| |
| // select h if h < p else h - p |
| t_mask := (t4 >> 31) - 1 |
| h_mask := ^t_mask |
| h0 = (h0 & h_mask) | (t0 & t_mask) |
| h1 = (h1 & h_mask) | (t1 & t_mask) |
| h2 = (h2 & h_mask) | (t2 & t_mask) |
| h3 = (h3 & h_mask) | (t3 & t_mask) |
| h4 = (h4 & h_mask) | (t4 & t_mask) |
| |
| // h %= 2^128 |
| h0 |= h1 << 26 |
| h1 = ((h1 >> 6) | (h2 << 20)) |
| h2 = ((h2 >> 12) | (h3 << 14)) |
| h3 = ((h3 >> 18) | (h4 << 8)) |
| |
| // s: the s part of the key |
| // tag = (h + s) % (2^128) |
| t := uint64(h0) + uint64(binary.LittleEndian.Uint32(key[16:])) |
| h0 = uint32(t) |
| t = uint64(h1) + uint64(binary.LittleEndian.Uint32(key[20:])) + (t >> 32) |
| h1 = uint32(t) |
| t = uint64(h2) + uint64(binary.LittleEndian.Uint32(key[24:])) + (t >> 32) |
| h2 = uint32(t) |
| t = uint64(h3) + uint64(binary.LittleEndian.Uint32(key[28:])) + (t >> 32) |
| h3 = uint32(t) |
| |
| binary.LittleEndian.PutUint32(out[0:], h0) |
| binary.LittleEndian.PutUint32(out[4:], h1) |
| binary.LittleEndian.PutUint32(out[8:], h2) |
| binary.LittleEndian.PutUint32(out[12:], h3) |
| } |