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+/*
+ * Implementation of DES.
+ */
+
+/*
+ * Background
+ * ----------
+ *
+ * The basic structure of DES is a Feistel network: the 64-bit cipher
+ * block is divided into two 32-bit halves L and R, and in each round,
+ * a mixing function is applied to one of them, the result is XORed
+ * into the other, and then the halves are swapped so that the other
+ * one will be the input to the mixing function next time. (This
+ * structure guarantees reversibility no matter whether the mixing
+ * function itself is bijective.)
+ *
+ * The mixing function for DES goes like this:
+ * + Extract eight contiguous 6-bit strings from the 32-bit word.
+ * They start at positions 4 bits apart, so each string overlaps
+ * the next one by one bit. At least one has to wrap cyclically
+ * round the end of the word.
+ * + XOR each of those strings with 6 bits of data from the key
+ * schedule (which consists of 8 x 6-bit strings per round).
+ * + Use the resulting 6-bit numbers as the indices into eight
+ * different lookup tables ('S-boxes'), each of which delivers a
+ * 4-bit output.
+ * + Concatenate those eight 4-bit values into a 32-bit word.
+ * + Finally, apply a fixed permutation P to that word.
+ *
+ * DES adds one more wrinkle on top of this structure, which is to
+ * conjugate it by a bitwise permutation of the cipher block. That is,
+ * before starting the main cipher rounds, the input bits are permuted
+ * according to a 64-bit permutation called IP, and after the rounds
+ * are finished, the output bits are permuted back again by applying
+ * the inverse of IP.
+ *
+ * This gives a lot of leeway to redefine the components of the cipher
+ * without actually changing the input and output. You could permute
+ * the bits in the output of any or all of the S-boxes, or reorder the
+ * S-boxes among themselves, and adjust the following permutation P to
+ * compensate. And you could adjust IP by post-composing a rotation of
+ * each 32-bit half, and adjust the starting offsets of the 6-bit
+ * S-box indices to compensate.
+ *
+ * test/desref.py demonstrates this by providing two equivalent forms
+ * of the cipher, called DES and SGTDES, which give the same output.
+ * DES is the form described in the original spec: if you make it
+ * print diagnostic output during the cipher and check it against the
+ * original, you should recognise the S-box outputs as matching the
+ * ones you expect. But SGTDES, which I egotistically name after
+ * myself, is much closer to the form implemented here: I've changed
+ * the permutation P to suit my implementation strategy and
+ * compensated by permuting the S-boxes, and also I've added a
+ * rotation right by 1 bit to IP so that only one S-box index has to
+ * wrap round the word and also so that the indices are nicely aligned
+ * for the constant-time selection system I'm using.
+ */
+
+#include <stdio.h>
+
+#include "ssh.h"
+#include "mpint_i.h" /* we reuse the BignumInt system */
+
+/* If you compile with -DDES_DIAGNOSTICS, intermediate results will be
+ * sent to debug() (so you also need to compile with -DDEBUG).
+ * Otherwise this ifdef will condition away all the debug() calls. */
+#ifndef DES_DIAGNOSTICS
+#undef debug
+#define debug(...) ((void)0)
+#endif
+
+/*
+ * General utility functions.
+ */
+static inline uint32_t rol(uint32_t x, unsigned c)
+{
+ return (x << (31 & c)) | (x >> (31 & -c));
+}
+static inline uint32_t ror(uint32_t x, unsigned c)
+{
+ return rol(x, -c);
+}
+
+/*
+ * The hard part of doing DES in constant time is the S-box lookup.
+ *
+ * My strategy is to iterate over the whole lookup table! That's slow,
+ * but I don't see any way to avoid _something_ along those lines: in
+ * every round, every entry in every S-box is potentially needed, and
+ * if you can't change your memory access pattern based on the input
+ * data, it follows that you have to read a quantity of information
+ * equal to the size of all the S-boxes. (Unless they were to turn out
+ * to be significantly compressible, but I for one couldn't show them
+ * to be.)
+ *
+ * In more detail, I construct a sort of counter-based 'selection
+ * gadget', which is 15 bits wide and starts off with the top bit
+ * zero, the next eight bits all 1, and the bottom six set to the
+ * input S-box index:
+ *
+ * 011111111xxxxxx
+ *
+ * Now if you add 1 in the lowest bit position, then either it carries
+ * into the top section (resetting it to 100000000), or it doesn't do
+ * that yet. If you do that 64 times, then it will _guarantee_ to have
+ * ticked over into 100000000. In between those increments, the eight
+ * bits that started off as 11111111 will have stayed that way for
+ * some number of iterations and then become 00000000, and exactly how
+ * many iterations depends on the input index.
+ *
+ * The purpose of the 0 bit at the top is to absorb the carry when the
+ * switch happens, which means you can pack more than one gadget into
+ * the same machine word and have them all work in parallel without
+ * each one intefering with the next.
+ *
+ * The next step is to use each of those 8-bit segments as a bit mask:
+ * each one is ANDed with a lookup table entry, and all the results
+ * are XORed together. So you end up with the bitwise XOR of some
+ * initial segment of the table entries. And the stored S-box tables
+ * are transformed in such a way that the real S-box values are given
+ * not by the individual entries, but by the cumulative XORs
+ * constructed in this way.
+ *
+ * A refinement is that I increment each gadget by 2 rather than 1
+ * each time, so I only iterate 32 times instead of 64. That's why
+ * there are 8 selection bits instead of 4: each gadget selects enough
+ * bits to reconstruct _two_ S-box entries, for a pair of indices
+ * (2n,2n+1), and then finally I use the low bit of the index to do a
+ * parallel selection between each of those pairs.
+ *
+ * The selection gadget is not quite 16 bits wide. So you can fit four
+ * of them across a 64-bit word at 16-bit intervals, which is also
+ * convenient because the place the S-box indices are coming from also
+ * has pairs of them separated by 16-bit distances, so it's easy to
+ * copy them into the gadgets in the first place.
+ */
+
+/*
+ * The S-box data. Each pair of nonzero columns here describes one of
+ * the S-boxes, corresponding to the SGTDES tables in test/desref.py,
+ * under the following transformation.
+ *
+ * Take S-box #3 as an example. Its values in successive rows of this
+ * table are eb,e8,54,3d, ... So the cumulative XORs of initial
+ * sequences of those values are eb,(eb^e8),(eb^e8^54), ... which
+ * comes to eb,03,57,... Of _those_ values, the top nibble (e,0,5,...)
+ * gives the even-numbered entries in the S-box, in _reverse_ order
+ * (because a lower input index selects the XOR of a longer
+ * subsequence). The odd-numbered entries are given by XORing the two
+ * digits together: (e^b),(0^3),(5^7),... = 5,3,2,... And indeed, if
+ * you check SGTDES.sboxes[3] you find it ends ... 52 03 e5.
+ */
+#define SBOX_ITERATION(X) \
+ /* 66 22 44 00 77 33 55 11 */ \
+ X(0xf600970083008500, 0x0e00eb007b002e00) \
+ X(0xda00e4009000e000, 0xad00e800a700b400) \
+ X(0x1a009d003f003600, 0xf60054004300cd00) \
+ X(0xaf00c500e900a900, 0x63003d00f2005900) \
+ X(0xf300750079001400, 0x80005000a2008900) \
+ X(0xa100d400d6007b00, 0xd3009000d300e100) \
+ X(0x450087002600ac00, 0xae003c0031009c00) \
+ X(0xd000b100b6003600, 0x3e006f0092005900) \
+ X(0x4d008a0026001000, 0x89007a00b8004a00) \
+ X(0xca00f5003f00ac00, 0x6f00f0003c009400) \
+ X(0x92008d0090001000, 0x8c00c600ce004a00) \
+ X(0xe2005900e9006d00, 0x790078007800fa00) \
+ X(0x1300b10090008d00, 0xa300170027001800) \
+ X(0xc70058005f006a00, 0x9c00c100e0006300) \
+ X(0x9b002000f000f000, 0xf70057001600f900) \
+ X(0xeb00b0009000af00, 0xa9006300b0005800) \
+ X(0xa2001d00cf000000, 0x3800b00066000000) \
+ X(0xf100da007900d000, 0xbc00790094007900) \
+ X(0x570015001900ad00, 0x6f00ef005100cb00) \
+ X(0xc3006100e9006d00, 0xc000b700f800f200) \
+ X(0x1d005800b600d000, 0x67004d00cd002c00) \
+ X(0xf400b800d600e000, 0x5e00a900b000e700) \
+ X(0x5400d1003f009c00, 0xc90069002c005300) \
+ X(0xe200e50060005900, 0x6a00b800c500f200) \
+ X(0xdf0047007900d500, 0x7000ec004c00ea00) \
+ X(0x7100d10060009c00, 0x3f00b10095005e00) \
+ X(0x82008200f0002000, 0x87001d00cd008000) \
+ X(0xd0007000af00c000, 0xe200be006100f200) \
+ X(0x8000930060001000, 0x36006e0081001200) \
+ X(0x6500a300d600ac00, 0xcf003d007d00c000) \
+ X(0x9000700060009800, 0x62008100ad009200) \
+ X(0xe000e4003f00f400, 0x5a00ed009000f200) \
+ /* end of list */
+
+/*
+ * The S-box mapping function. Expects two 32-bit input words: si6420
+ * contains the table indices for S-boxes 0,2,4,6 with their low bits
+ * starting at position 2 (for S-box 0) and going up in steps of 8.
+ * si7531 has indices 1,3,5,7 in the same bit positions.
+ */
+static inline uint32_t des_S(uint32_t si6420, uint32_t si7531)
+{
+ debug("sindices: %02x %02x %02x %02x %02x %02x %02x %02x\n",
+ 0x3F & (si6420 >> 2), 0x3F & (si7531 >> 2),
+ 0x3F & (si6420 >> 10), 0x3F & (si7531 >> 10),
+ 0x3F & (si6420 >> 18), 0x3F & (si7531 >> 18),
+ 0x3F & (si6420 >> 26), 0x3F & (si7531 >> 26));
+
+#ifdef SIXTY_FOUR_BIT
+ /*
+ * On 64-bit machines, we store the table in exactly the form
+ * shown above, and make two 64-bit words containing four
+ * selection gadgets each.
+ */
+
+ /* Set up the gadgets. The 'cNNNN' variables will be gradually
+ * incremented, and the bits in positions FF00FF00FF00FF00 will
+ * act as selectors for the words in the table.
+ *
+ * A side effect of moving the input indices further apart is that
+ * they change order, because it's easier to keep a pair that were
+ * originally 16 bits apart still 16 bits apart, which now makes
+ * them adjacent instead of separated by one. So the fact that
+ * si6420 turns into c6240 (with the 2,4 reversed) is not a typo!
+ * This will all be undone when we rebuild the output word later.
+ */
+ uint64_t c6240 = ((si6420 | ((uint64_t)si6420 << 24))
+ & 0x00FC00FC00FC00FC) | 0xFF00FF00FF00FF00;
+ uint64_t c7351 = ((si7531 | ((uint64_t)si7531 << 24))
+ & 0x00FC00FC00FC00FC) | 0xFF00FF00FF00FF00;
+ debug("S in: c6240=%016"PRIx64" c7351=%016"PRIx64"\n", c6240, c7351);
+
+ /* Iterate over the table. The 'sNNNN' variables accumulate the
+ * XOR of all the table entries not masked out. */
+ static const struct tbl { uint64_t t6240, t7351; } tbl[32] = {
+#define TABLE64(a, b) { a, b },
+ SBOX_ITERATION(TABLE64)
+#undef TABLE64
+ };
+ uint64_t s6240 = 0, s7351 = 0;
+ for (const struct tbl *t = tbl, *limit = tbl + 32; t < limit; t++) {
+ s6240 ^= c6240 & t->t6240; c6240 += 0x0008000800080008;
+ s7351 ^= c7351 & t->t7351; c7351 += 0x0008000800080008;
+ }
+ debug("S out: s6240=%016"PRIx64" s7351=%016"PRIx64"\n", s6240, s7351);
+
+ /* Final selection between each even/odd pair: mask off the low
+ * bits of all the input indices (which haven't changed throughout
+ * the iteration), and multiply by a bit mask that will turn each
+ * set bit into a mask covering the upper nibble of the selected
+ * pair. Then use those masks to control which set of lower
+ * nibbles is XORed into the upper nibbles. */
+ s6240 ^= (s6240 << 4) & ((0xf000/0x004) * (c6240 & 0x0004000400040004));
+ s7351 ^= (s7351 << 4) & ((0xf000/0x004) * (c7351 & 0x0004000400040004));
+
+ /* Now the eight final S-box outputs are in the upper nibble of
+ * each selection position. Mask away the rest of the clutter. */
+ s6240 &= 0xf000f000f000f000;
+ s7351 &= 0xf000f000f000f000;
+ debug("s0=%x s1=%x s2=%x s3=%x s4=%x s5=%x s6=%x s7=%x\n",
+ (unsigned)(0xF & (s6240 >> 12)),
+ (unsigned)(0xF & (s7351 >> 12)),
+ (unsigned)(0xF & (s6240 >> 44)),
+ (unsigned)(0xF & (s7351 >> 44)),
+ (unsigned)(0xF & (s6240 >> 28)),
+ (unsigned)(0xF & (s7351 >> 28)),
+ (unsigned)(0xF & (s6240 >> 60)),
+ (unsigned)(0xF & (s7351 >> 60)));
+
+ /* Combine them all into a single 32-bit output word, which will
+ * come out in the order 76543210. */
+ uint64_t combined = (s6240 >> 12) | (s7351 >> 8);
+ return combined | (combined >> 24);
+
+#else /* SIXTY_FOUR_BIT */
+ /*
+ * For 32-bit platforms, we do the same thing but in four 32-bit
+ * words instead of two 64-bit ones, so the CPU doesn't have to
+ * waste time propagating carries or shifted bits between the two
+ * halves of a uint64 that weren't needed anyway.
+ */
+
+ /* Set up the gadgets */
+ uint32_t c40 = ((si6420 ) & 0x00FC00FC) | 0xFF00FF00;
+ uint32_t c62 = ((si6420 >> 8) & 0x00FC00FC) | 0xFF00FF00;
+ uint32_t c51 = ((si7531 ) & 0x00FC00FC) | 0xFF00FF00;
+ uint32_t c73 = ((si7531 >> 8) & 0x00FC00FC) | 0xFF00FF00;
+ debug("S in: c40=%08"PRIx32" c62=%08"PRIx32
+ " c51=%08"PRIx32" c73=%08"PRIx32"\n", c40, c62, c51, c73);
+
+ /* Iterate over the table */
+ static const struct tbl { uint32_t t40, t62, t51, t73; } tbl[32] = {
+#define TABLE32(a, b) { ((uint32_t)a), (a>>32), ((uint32_t)b), (b>>32) },
+ SBOX_ITERATION(TABLE32)
+#undef TABLE32
+ };
+ uint32_t s40 = 0, s62 = 0, s51 = 0, s73 = 0;
+ for (const struct tbl *t = tbl, *limit = tbl + 32; t < limit; t++) {
+ s40 ^= c40 & t->t40; c40 += 0x00080008;
+ s62 ^= c62 & t->t62; c62 += 0x00080008;
+ s51 ^= c51 & t->t51; c51 += 0x00080008;
+ s73 ^= c73 & t->t73; c73 += 0x00080008;
+ }
+ debug("S out: s40=%08"PRIx32" s62=%08"PRIx32
+ " s51=%08"PRIx32" s73=%08"PRIx32"\n", s40, s62, s51, s73);
+
+ /* Final selection within each pair */
+ s40 ^= (s40 << 4) & ((0xf000/0x004) * (c40 & 0x00040004));
+ s62 ^= (s62 << 4) & ((0xf000/0x004) * (c62 & 0x00040004));
+ s51 ^= (s51 << 4) & ((0xf000/0x004) * (c51 & 0x00040004));
+ s73 ^= (s73 << 4) & ((0xf000/0x004) * (c73 & 0x00040004));
+
+ /* Clean up the clutter */
+ s40 &= 0xf000f000;
+ s62 &= 0xf000f000;
+ s51 &= 0xf000f000;
+ s73 &= 0xf000f000;
+ debug("s0=%x s1=%x s2=%x s3=%x s4=%x s5=%x s6=%x s7=%x\n",
+ (unsigned)(0xF & (s40 >> 12)),
+ (unsigned)(0xF & (s51 >> 12)),
+ (unsigned)(0xF & (s62 >> 12)),
+ (unsigned)(0xF & (s73 >> 12)),
+ (unsigned)(0xF & (s40 >> 28)),
+ (unsigned)(0xF & (s51 >> 28)),
+ (unsigned)(0xF & (s62 >> 28)),
+ (unsigned)(0xF & (s73 >> 28)));
+
+ /* Recombine and return */
+ return (s40 >> 12) | (s62 >> 4) | (s51 >> 8) | (s73);
+
+#endif /* SIXTY_FOUR_BIT */
+
+}
+
+/*
+ * Now for the permutation P. The basic strategy here is to use a
+ * Benes network: in each stage, the bit at position i is allowed to
+ * either stay where it is or swap with i ^ D, where D is a power of 2
+ * that varies with each phase. (So when D=1, pairs of the form
+ * {2n,2n+1} can swap; when D=2, the pairs are {4n+j,4n+j+2} for
+ * j={0,1}, and so on.)
+ *
+ * You can recursively construct a Benes network for an arbitrary
+ * permutation, in which the values of D iterate across all the powers
+ * of 2 less than the permutation size and then go back again. For
+ * example, the typical presentation for 32 bits would have D iterate
+ * over 16,8,4,2,1,2,4,8,16, and there's an easy algorithm that can
+ * express any permutation in that form by deciding which pairs of
+ * bits to swap in the outer pair of stages and then recursing to do
+ * all the stages in between.
+ *
+ * Actually implementing the swaps is easy when they're all between
+ * bits at the same separation: make the value x ^ (x >> D), mask out
+ * just the bits in the low position of a pair that needs to swap, and
+ * then use the resulting value y to make x ^ y ^ (y << D) which is
+ * the swapped version.
+ *
+ * In this particular case, I processed the bit indices in the other
+ * order (going 1,2,4,8,16,8,4,2,1), which makes no significant
+ * difference to the construction algorithm (it's just a relabelling),
+ * but it now means that the first two steps only permute entries
+ * within the output of each S-box - and therefore we can leave them
+ * completely out, in favour of just defining the S-boxes so that
+ * those permutation steps are already applied. Furthermore, by
+ * exhaustive search over the rest of the possible bit-orders for each
+ * S-box, I was able to find a version of P which could be represented
+ * in such a way that two further phases had all their control bits
+ * zero and could be skipped. So the number of swap stages is reduced
+ * to 5 from the 9 that might have been needed.
+ */
+
+static inline uint32_t des_benes_step(uint32_t v, unsigned D, uint32_t mask)
+{
+ uint32_t diff = (v ^ (v >> D)) & mask;
+ return v ^ diff ^ (diff << D);
+}
+
+static inline uint32_t des_P(uint32_t v_orig)
+{
+ uint32_t v = v_orig;
+
+ /* initial stages with distance 1,2 are part of the S-box data table */
+ v = des_benes_step(v, 4, 0x07030702);
+ v = des_benes_step(v, 8, 0x004E009E);
+ v = des_benes_step(v, 16, 0x0000D9D3);
+/* v = des_benes_step(v, 8, 0x00000000); no-op, so we can skip it */
+ v = des_benes_step(v, 4, 0x05040004);
+/* v = des_benes_step(v, 2, 0x00000000); no-op, so we can skip it */
+ v = des_benes_step(v, 1, 0x04045015);
+
+ debug("P(%08"PRIx32") = %08"PRIx32"\n", v_orig, v);
+
+ return v;
+}
+
+/*
+ * Putting the S and P functions together, and adding in the round key
+ * as well, gives us the full mixing function f.
+ */
+
+static inline uint32_t des_f(uint32_t R, uint32_t K7531, uint32_t K6420)
+{
+ uint32_t s7531 = R ^ K7531, s6420 = rol(R, 4) ^ K6420;
+ return des_P(des_S(s6420, s7531));
+}
+
+/*
+ * The key schedule, and the function to set it up.
+ */
+
+typedef struct des_keysched des_keysched;
+struct des_keysched {
+ uint32_t k7531[16], k6420[16];
+};
+
+/*
+ * Simplistic function to select an arbitrary sequence of bits from
+ * one value and glue them together into another value. bitnums[]
+ * gives the sequence of bit indices of the input, from the highest
+ * output bit downwards. An index of -1 means that output bit is left
+ * at zero.
+ *
+ * This function is only used during key setup, so it doesn't need to
+ * be highly optimised.
+ */
+static inline uint64_t bitsel(
+ uint64_t input, const int8_t *bitnums, size_t size)
+{
+ uint64_t ret = 0;
+ while (size-- > 0) {
+ int bitpos = *bitnums++;
+ ret <<= 1;
+ if (bitpos >= 0)
+ ret |= 1 & (input >> bitpos);
+ }
+ return ret;
+}
+
+static void des_key_setup(uint64_t key, des_keysched *sched)
+{
+ static const int8_t PC1[] = {
+ 7, 15, 23, 31, 39, 47, 55, 63, 6, 14, 22, 30, 38, 46,
+ 54, 62, 5, 13, 21, 29, 37, 45, 53, 61, 4, 12, 20, 28,
+ -1, -1, -1, -1,
+ 1, 9, 17, 25, 33, 41, 49, 57, 2, 10, 18, 26, 34, 42,
+ 50, 58, 3, 11, 19, 27, 35, 43, 51, 59, 36, 44, 52, 60,
+ };
+ static const int8_t PC2_7531[] = {
+ 46, 43, 49, 36, 59, 55, -1, -1, /* index into S-box 7 */
+ 37, 41, 48, 56, 34, 52, -1, -1, /* index into S-box 5 */
+ 15, 4, 25, 19, 9, 1, -1, -1, /* index into S-box 3 */
+ 12, 7, 17, 0, 22, 3, -1, -1, /* index into S-box 1 */
+ };
+ static const int8_t PC2_6420[] = {
+ 57, 32, 45, 54, 39, 50, -1, -1, /* index into S-box 6 */
+ 44, 53, 33, 40, 47, 58, -1, -1, /* index into S-box 4 */
+ 26, 16, 5, 11, 23, 8, -1, -1, /* index into S-box 2 */
+ 10, 14, 6, 20, 27, 24, -1, -1, /* index into S-box 0 */
+ };
+ static const int leftshifts[] = {1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1};
+
+ /* Select 56 bits from the 64-bit input key integer (the low bit
+ * of each input byte is unused), into a word consisting of two
+ * 28-bit integers starting at bits 0 and 32. */
+ uint64_t CD = bitsel(key, PC1, lenof(PC1));
+
+ for (size_t i = 0; i < 16; i++) {
+ /* Rotate each 28-bit half of CD left by 1 or 2 bits (varying
+ * between rounds) */
+ CD <<= leftshifts[i];
+ CD = (CD & 0x0FFFFFFF0FFFFFFF) | ((CD & 0xF0000000F0000000) >> 28);
+
+ /* Select key bits from the rotated word to use during the
+ * actual cipher */
+ sched->k7531[i] = bitsel(CD, PC2_7531, lenof(PC2_7531));
+ sched->k6420[i] = bitsel(CD, PC2_6420, lenof(PC2_6420));
+ }
+}
+
+/*
+ * Helper routines for dealing with 64-bit blocks in the form of an L
+ * and R word.
+ */
+
+typedef struct LR LR;
+struct LR { uint32_t L, R; };
+
+static inline LR des_load_lr(const void *vp)
+{
+ const uint8_t *p = (const uint8_t *)vp;
+ LR out;
+ out.L = GET_32BIT_MSB_FIRST(p);
+ out.R = GET_32BIT_MSB_FIRST(p+4);
+ return out;
+}
+
+static inline void des_store_lr(void *vp, LR lr)
+{
+ uint8_t *p = (uint8_t *)vp;
+ PUT_32BIT_MSB_FIRST(p, lr.L);
+ PUT_32BIT_MSB_FIRST(p+4, lr.R);
+}
+
+static inline LR des_xor_lr(LR a, LR b)
+{
+ a.L ^= b.L;
+ a.R ^= b.R;
+ return a;
+}
+
+static inline LR des_swap_lr(LR in)
+{
+ LR out;
+ out.L = in.R;
+ out.R = in.L;
+ return out;
+}
+
+/*
+ * The initial and final permutations of official DES are in a
+ * restricted form, in which the 'before' and 'after' positions of a
+ * given data bit are derived from each other by permuting the bits of
+ * the _index_ and flipping some of them. This allows the permutation
+ * to be performed effectively by a method that looks rather like
+ * _half_ of a general Benes network, because the restricted form
+ * means only half of it is actually needed.
+ *
+ * _Our_ initial and final permutations include a rotation by 1 bit,
+ * but it's still easier to just suffix that to the standard IP/FP
+ * than to regenerate everything using a more general method.
+ *
+ * Because we're permuting 64 bits in this case, between two 32-bit
+ * words, there's a separate helper function for this code that
+ * doesn't look quite like des_benes_step() above.
+ */
+
+static inline void des_bitswap_IP_FP(uint32_t *L, uint32_t *R,
+ unsigned D, uint32_t mask)
+{
+ uint32_t diff = mask & ((*R >> D) ^ *L);
+ *R ^= diff << D;
+ *L ^= diff;
+}
+
+static inline LR des_IP(LR lr)
+{
+ des_bitswap_IP_FP(&lr.R, &lr.L, 4, 0x0F0F0F0F);
+ des_bitswap_IP_FP(&lr.R, &lr.L, 16, 0x0000FFFF);
+ des_bitswap_IP_FP(&lr.L, &lr.R, 2, 0x33333333);
+ des_bitswap_IP_FP(&lr.L, &lr.R, 8, 0x00FF00FF);
+ des_bitswap_IP_FP(&lr.R, &lr.L, 1, 0x55555555);
+
+ lr.L = ror(lr.L, 1);
+ lr.R = ror(lr.R, 1);
+
+ return lr;
+}
+
+static inline LR des_FP(LR lr)
+{
+ lr.L = rol(lr.L, 1);
+ lr.R = rol(lr.R, 1);
+
+ des_bitswap_IP_FP(&lr.R, &lr.L, 1, 0x55555555);
+ des_bitswap_IP_FP(&lr.L, &lr.R, 8, 0x00FF00FF);
+ des_bitswap_IP_FP(&lr.L, &lr.R, 2, 0x33333333);
+ des_bitswap_IP_FP(&lr.R, &lr.L, 16, 0x0000FFFF);
+ des_bitswap_IP_FP(&lr.R, &lr.L, 4, 0x0F0F0F0F);
+
+ return lr;
+}
+
+/*
+ * The main cipher functions, which are identical except that they use
+ * the key schedule in opposite orders.
+ *
+ * We provide a version without the initial and final permutations,
+ * for use in triple-DES mode (no sense undoing and redoing it in
+ * between the phases).
+ */
+
+static inline LR des_round(LR in, const des_keysched *sched, size_t round)
+{
+ LR out;
+ out.L = in.R;
+ out.R = in.L ^ des_f(in.R, sched->k7531[round], sched->k6420[round]);
+ return out;
+}
+
+static inline LR des_inner_cipher(LR lr, const des_keysched *sched,
+ size_t start, size_t step)
+{
+ lr = des_round(lr, sched, start+0x0*step);
+ lr = des_round(lr, sched, start+0x1*step);
+ lr = des_round(lr, sched, start+0x2*step);
+ lr = des_round(lr, sched, start+0x3*step);
+ lr = des_round(lr, sched, start+0x4*step);
+ lr = des_round(lr, sched, start+0x5*step);
+ lr = des_round(lr, sched, start+0x6*step);
+ lr = des_round(lr, sched, start+0x7*step);
+ lr = des_round(lr, sched, start+0x8*step);
+ lr = des_round(lr, sched, start+0x9*step);
+ lr = des_round(lr, sched, start+0xa*step);
+ lr = des_round(lr, sched, start+0xb*step);
+ lr = des_round(lr, sched, start+0xc*step);
+ lr = des_round(lr, sched, start+0xd*step);
+ lr = des_round(lr, sched, start+0xe*step);
+ lr = des_round(lr, sched, start+0xf*step);
+ return des_swap_lr(lr);
+}
+
+static inline LR des_full_cipher(LR lr, const des_keysched *sched,
+ size_t start, size_t step)
+{
+ lr = des_IP(lr);
+ lr = des_inner_cipher(lr, sched, start, step);
+ lr = des_FP(lr);
+ return lr;
+}
+
+/*
+ * Parameter pairs for the start,step arguments to the cipher routines
+ * above, causing them to use the same key schedule in opposite orders.
+ */
+#define ENCIPHER 0, 1 /* for encryption */
+#define DECIPHER 15, -1 /* for decryption */
+
+/* ----------------------------------------------------------------------
+ * Single-DES
+ */
+
+struct des_cbc_ctx {
+ des_keysched sched;
+ LR iv;
+ ssh_cipher ciph;
+};
+
+static ssh_cipher *des_cbc_new(const ssh_cipheralg *alg)
+{
+ struct des_cbc_ctx *ctx = snew(struct des_cbc_ctx);
+ ctx->ciph.vt = alg;
+ return &ctx->ciph;
+}
+
+static void des_cbc_free(ssh_cipher *ciph)
+{
+ struct des_cbc_ctx *ctx = container_of(ciph, struct des_cbc_ctx, ciph);
+ smemclr(ctx, sizeof(*ctx));
+ sfree(ctx);
+}
+
+static void des_cbc_setkey(ssh_cipher *ciph, const void *vkey)
+{
+ struct des_cbc_ctx *ctx = container_of(ciph, struct des_cbc_ctx, ciph);
+ const uint8_t *key = (const uint8_t *)vkey;
+ des_key_setup(GET_64BIT_MSB_FIRST(key), &ctx->sched);
+}
+
+static void des_cbc_setiv(ssh_cipher *ciph, const void *iv)
+{
+ struct des_cbc_ctx *ctx = container_of(ciph, struct des_cbc_ctx, ciph);
+ ctx->iv = des_load_lr(iv);
+}
+
+static void des_cbc_encrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des_cbc_ctx *ctx = container_of(ciph, struct des_cbc_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ LR plaintext = des_load_lr(data);
+ LR cipher_in = des_xor_lr(plaintext, ctx->iv);
+ LR ciphertext = des_full_cipher(cipher_in, &ctx->sched, ENCIPHER);
+ des_store_lr(data, ciphertext);
+ ctx->iv = ciphertext;
+ }
+}
+
+static void des_cbc_decrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des_cbc_ctx *ctx = container_of(ciph, struct des_cbc_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ LR ciphertext = des_load_lr(data);
+ LR cipher_out = des_full_cipher(ciphertext, &ctx->sched, DECIPHER);
+ LR plaintext = des_xor_lr(cipher_out, ctx->iv);
+ des_store_lr(data, plaintext);
+ ctx->iv = ciphertext;
+ }
+}
+
+const ssh_cipheralg ssh_des = {
+ .new = des_cbc_new,
+ .free = des_cbc_free,
+ .setiv = des_cbc_setiv,
+ .setkey = des_cbc_setkey,
+ .encrypt = des_cbc_encrypt,
+ .decrypt = des_cbc_decrypt,
+ .next_message = nullcipher_next_message,
+ .ssh2_id = "des-cbc",
+ .blksize = 8,
+ .real_keybits = 56,
+ .padded_keybytes = 8,
+ .flags = SSH_CIPHER_IS_CBC,
+ .text_name = "single-DES CBC",
+};
+
+const ssh_cipheralg ssh_des_sshcom_ssh2 = {
+ /* Same as ssh_des_cbc, but with a different SSH-2 ID */
+ .new = des_cbc_new,
+ .free = des_cbc_free,
+ .setiv = des_cbc_setiv,
+ .setkey = des_cbc_setkey,
+ .encrypt = des_cbc_encrypt,
+ .decrypt = des_cbc_decrypt,
+ .next_message = nullcipher_next_message,
+ .ssh2_id = "des-cbc@ssh.com",
+ .blksize = 8,
+ .real_keybits = 56,
+ .padded_keybytes = 8,
+ .flags = SSH_CIPHER_IS_CBC,
+ .text_name = "single-DES CBC",
+};
+
+static const ssh_cipheralg *const des_list[] = {
+ &ssh_des,
+ &ssh_des_sshcom_ssh2
+};
+
+const ssh2_ciphers ssh2_des = { lenof(des_list), des_list };
+
+/* ----------------------------------------------------------------------
+ * Triple-DES CBC, SSH-2 style. The CBC mode treats the three
+ * invocations of DES as a single unified cipher, and surrounds it
+ * with just one layer of CBC, so only one IV is needed.
+ */
+
+struct des3_cbc1_ctx {
+ des_keysched sched[3];
+ LR iv;
+ ssh_cipher ciph;
+};
+
+static ssh_cipher *des3_cbc1_new(const ssh_cipheralg *alg)
+{
+ struct des3_cbc1_ctx *ctx = snew(struct des3_cbc1_ctx);
+ ctx->ciph.vt = alg;
+ return &ctx->ciph;
+}
+
+static void des3_cbc1_free(ssh_cipher *ciph)
+{
+ struct des3_cbc1_ctx *ctx = container_of(ciph, struct des3_cbc1_ctx, ciph);
+ smemclr(ctx, sizeof(*ctx));
+ sfree(ctx);
+}
+
+static void des3_cbc1_setkey(ssh_cipher *ciph, const void *vkey)
+{
+ struct des3_cbc1_ctx *ctx = container_of(ciph, struct des3_cbc1_ctx, ciph);
+ const uint8_t *key = (const uint8_t *)vkey;
+ for (size_t i = 0; i < 3; i++)
+ des_key_setup(GET_64BIT_MSB_FIRST(key + 8*i), &ctx->sched[i]);
+}
+
+static void des3_cbc1_setiv(ssh_cipher *ciph, const void *iv)
+{
+ struct des3_cbc1_ctx *ctx = container_of(ciph, struct des3_cbc1_ctx, ciph);
+ ctx->iv = des_load_lr(iv);
+}
+
+static void des3_cbc1_cbc_encrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des3_cbc1_ctx *ctx = container_of(ciph, struct des3_cbc1_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ LR plaintext = des_load_lr(data);
+ LR cipher_in = des_xor_lr(plaintext, ctx->iv);
+
+ /* Run three copies of the cipher, without undoing and redoing
+ * IP/FP in between. */
+ LR lr = des_IP(cipher_in);
+ lr = des_inner_cipher(lr, &ctx->sched[0], ENCIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[1], DECIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[2], ENCIPHER);
+ LR ciphertext = des_FP(lr);
+
+ des_store_lr(data, ciphertext);
+ ctx->iv = ciphertext;
+ }
+}
+
+static void des3_cbc1_cbc_decrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des3_cbc1_ctx *ctx = container_of(ciph, struct des3_cbc1_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ LR ciphertext = des_load_lr(data);
+
+ /* Similarly to encryption, but with the order reversed. */
+ LR lr = des_IP(ciphertext);
+ lr = des_inner_cipher(lr, &ctx->sched[2], DECIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[1], ENCIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[0], DECIPHER);
+ LR cipher_out = des_FP(lr);
+
+ LR plaintext = des_xor_lr(cipher_out, ctx->iv);
+ des_store_lr(data, plaintext);
+ ctx->iv = ciphertext;
+ }
+}
+
+const ssh_cipheralg ssh_3des_ssh2 = {
+ .new = des3_cbc1_new,
+ .free = des3_cbc1_free,
+ .setiv = des3_cbc1_setiv,
+ .setkey = des3_cbc1_setkey,
+ .encrypt = des3_cbc1_cbc_encrypt,
+ .decrypt = des3_cbc1_cbc_decrypt,
+ .next_message = nullcipher_next_message,
+ .ssh2_id = "3des-cbc",
+ .blksize = 8,
+ .real_keybits = 168,
+ .padded_keybytes = 24,
+ .flags = SSH_CIPHER_IS_CBC,
+ .text_name = "triple-DES CBC",
+};
+
+/* ----------------------------------------------------------------------
+ * Triple-DES in SDCTR mode. Again, the three DES instances are
+ * treated as one big cipher, with a single counter encrypted through
+ * all three.
+ */
+
+#define SDCTR_WORDS (8 / BIGNUM_INT_BYTES)
+
+struct des3_sdctr_ctx {
+ des_keysched sched[3];
+ BignumInt counter[SDCTR_WORDS];
+ ssh_cipher ciph;
+};
+
+static ssh_cipher *des3_sdctr_new(const ssh_cipheralg *alg)
+{
+ struct des3_sdctr_ctx *ctx = snew(struct des3_sdctr_ctx);
+ ctx->ciph.vt = alg;
+ return &ctx->ciph;
+}
+
+static void des3_sdctr_free(ssh_cipher *ciph)
+{
+ struct des3_sdctr_ctx *ctx = container_of(
+ ciph, struct des3_sdctr_ctx, ciph);
+ smemclr(ctx, sizeof(*ctx));
+ sfree(ctx);
+}
+
+static void des3_sdctr_setkey(ssh_cipher *ciph, const void *vkey)
+{
+ struct des3_sdctr_ctx *ctx = container_of(
+ ciph, struct des3_sdctr_ctx, ciph);
+ const uint8_t *key = (const uint8_t *)vkey;
+ for (size_t i = 0; i < 3; i++)
+ des_key_setup(GET_64BIT_MSB_FIRST(key + 8*i), &ctx->sched[i]);
+}
+
+static void des3_sdctr_setiv(ssh_cipher *ciph, const void *viv)
+{
+ struct des3_sdctr_ctx *ctx = container_of(
+ ciph, struct des3_sdctr_ctx, ciph);
+ const uint8_t *iv = (const uint8_t *)viv;
+
+ /* Import the initial counter value into the internal representation */
+ for (unsigned i = 0; i < SDCTR_WORDS; i++)
+ ctx->counter[i] = GET_BIGNUMINT_MSB_FIRST(
+ iv + 8 - BIGNUM_INT_BYTES - i*BIGNUM_INT_BYTES);
+}
+
+static void des3_sdctr_encrypt_decrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des3_sdctr_ctx *ctx = container_of(
+ ciph, struct des3_sdctr_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ uint8_t iv_buf[8];
+ for (; len > 0; len -= 8, data += 8) {
+ /* Format the counter value into the buffer. */
+ for (unsigned i = 0; i < SDCTR_WORDS; i++)
+ PUT_BIGNUMINT_MSB_FIRST(
+ iv_buf + 8 - BIGNUM_INT_BYTES - i*BIGNUM_INT_BYTES,
+ ctx->counter[i]);
+
+ /* Increment the counter. */
+ BignumCarry carry = 1;
+ for (unsigned i = 0; i < SDCTR_WORDS; i++)
+ BignumADC(ctx->counter[i], carry, ctx->counter[i], 0, carry);
+
+ /* Triple-encrypt the counter value from the IV. */
+ LR lr = des_IP(des_load_lr(iv_buf));
+ lr = des_inner_cipher(lr, &ctx->sched[0], ENCIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[1], DECIPHER);
+ lr = des_inner_cipher(lr, &ctx->sched[2], ENCIPHER);
+ LR keystream = des_FP(lr);
+
+ LR input = des_load_lr(data);
+ LR output = des_xor_lr(input, keystream);
+ des_store_lr(data, output);
+ }
+ smemclr(iv_buf, sizeof(iv_buf));
+}
+
+const ssh_cipheralg ssh_3des_ssh2_ctr = {
+ .new = des3_sdctr_new,
+ .free = des3_sdctr_free,
+ .setiv = des3_sdctr_setiv,
+ .setkey = des3_sdctr_setkey,
+ .encrypt = des3_sdctr_encrypt_decrypt,
+ .decrypt = des3_sdctr_encrypt_decrypt,
+ .next_message = nullcipher_next_message,
+ .ssh2_id = "3des-ctr",
+ .blksize = 8,
+ .real_keybits = 168,
+ .padded_keybytes = 24,
+ .flags = 0,
+ .text_name = "triple-DES SDCTR",
+};
+
+static const ssh_cipheralg *const des3_list[] = {
+ &ssh_3des_ssh2_ctr,
+ &ssh_3des_ssh2
+};
+
+const ssh2_ciphers ssh2_3des = { lenof(des3_list), des3_list };
+
+/* ----------------------------------------------------------------------
+ * Triple-DES, SSH-1 style. SSH-1 replicated the whole CBC structure
+ * three times, so there have to be three separate IVs, one in each
+ * layer.
+ */
+
+struct des3_cbc3_ctx {
+ des_keysched sched[3];
+ LR iv[3];
+ ssh_cipher ciph;
+};
+
+static ssh_cipher *des3_cbc3_new(const ssh_cipheralg *alg)
+{
+ struct des3_cbc3_ctx *ctx = snew(struct des3_cbc3_ctx);
+ ctx->ciph.vt = alg;
+ return &ctx->ciph;
+}
+
+static void des3_cbc3_free(ssh_cipher *ciph)
+{
+ struct des3_cbc3_ctx *ctx = container_of(ciph, struct des3_cbc3_ctx, ciph);
+ smemclr(ctx, sizeof(*ctx));
+ sfree(ctx);
+}
+
+static void des3_cbc3_setkey(ssh_cipher *ciph, const void *vkey)
+{
+ struct des3_cbc3_ctx *ctx = container_of(ciph, struct des3_cbc3_ctx, ciph);
+ const uint8_t *key = (const uint8_t *)vkey;
+ for (size_t i = 0; i < 3; i++)
+ des_key_setup(GET_64BIT_MSB_FIRST(key + 8*i), &ctx->sched[i]);
+}
+
+static void des3_cbc3_setiv(ssh_cipher *ciph, const void *viv)
+{
+ struct des3_cbc3_ctx *ctx = container_of(ciph, struct des3_cbc3_ctx, ciph);
+
+ /*
+ * In principle, we ought to provide an interface for the user to
+ * input 24 instead of 8 bytes of IV. But that would make this an
+ * ugly exception to the otherwise universal rule that IV size =
+ * cipher block size, and there's really no need to violate that
+ * rule given that this is a historical one-off oddity and SSH-1
+ * always initialises all three IVs to zero anyway. So we fudge it
+ * by just setting all the IVs to the same value.
+ */
+
+ LR iv = des_load_lr(viv);
+
+ /* But we store the IVs in permuted form, so that we can handle
+ * all three CBC layers without having to do IP/FP in between. */
+ iv = des_IP(iv);
+ for (size_t i = 0; i < 3; i++)
+ ctx->iv[i] = iv;
+}
+
+static void des3_cbc3_cbc_encrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des3_cbc3_ctx *ctx = container_of(ciph, struct des3_cbc3_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ /* Load and IP the input. */
+ LR plaintext = des_IP(des_load_lr(data));
+ LR lr = plaintext;
+
+ /* Do three passes of CBC, with the middle one inverted. */
+
+ lr = des_xor_lr(lr, ctx->iv[0]);
+ lr = des_inner_cipher(lr, &ctx->sched[0], ENCIPHER);
+ ctx->iv[0] = lr;
+
+ LR ciphertext = lr;
+ lr = des_inner_cipher(ciphertext, &ctx->sched[1], DECIPHER);
+ lr = des_xor_lr(lr, ctx->iv[1]);
+ ctx->iv[1] = ciphertext;
+
+ lr = des_xor_lr(lr, ctx->iv[2]);
+ lr = des_inner_cipher(lr, &ctx->sched[2], ENCIPHER);
+ ctx->iv[2] = lr;
+
+ des_store_lr(data, des_FP(lr));
+ }
+}
+
+static void des3_cbc3_cbc_decrypt(ssh_cipher *ciph, void *vdata, int len)
+{
+ struct des3_cbc3_ctx *ctx = container_of(ciph, struct des3_cbc3_ctx, ciph);
+ uint8_t *data = (uint8_t *)vdata;
+ for (; len > 0; len -= 8, data += 8) {
+ /* Load and IP the input */
+ LR lr = des_IP(des_load_lr(data));
+ LR ciphertext;
+
+ /* Do three passes of CBC, with the middle one inverted. */
+ ciphertext = lr;
+ lr = des_inner_cipher(ciphertext, &ctx->sched[2], DECIPHER);
+ lr = des_xor_lr(lr, ctx->iv[2]);
+ ctx->iv[2] = ciphertext;
+
+ lr = des_xor_lr(lr, ctx->iv[1]);
+ lr = des_inner_cipher(lr, &ctx->sched[1], ENCIPHER);
+ ctx->iv[1] = lr;
+
+ ciphertext = lr;
+ lr = des_inner_cipher(ciphertext, &ctx->sched[0], DECIPHER);
+ lr = des_xor_lr(lr, ctx->iv[0]);
+ ctx->iv[0] = ciphertext;
+
+ des_store_lr(data, des_FP(lr));
+ }
+}
+
+const ssh_cipheralg ssh_3des_ssh1 = {
+ .new = des3_cbc3_new,
+ .free = des3_cbc3_free,
+ .setiv = des3_cbc3_setiv,
+ .setkey = des3_cbc3_setkey,
+ .encrypt = des3_cbc3_cbc_encrypt,
+ .decrypt = des3_cbc3_cbc_decrypt,
+ .next_message = nullcipher_next_message,
+ .blksize = 8,
+ .real_keybits = 168,
+ .padded_keybytes = 24,
+ .flags = SSH_CIPHER_IS_CBC,
+ .text_name = "triple-DES inner-CBC",
+};