/* * Copyright (c) 2014 Dag-Erling Smørgrav * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. The name of the author may not be used to endorse or promote * products derived from this software without specific prior written * permission. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. */ #include "cryb/impl.h" #include #include #include #include #include /* n rounded up to nearest multiple of p */ #define RUP(n, p) ((((n) + (p) - 1) / (p)) * (p)) /* * Initialize an all-zeroes mpi. */ #define MPI_FAST_INIT(X) \ do { \ (X)->words = (X)->swords; \ (X)->size = CRYB_MPI_SWORDS; \ } while (0) /* * Initialize an mpi. */ void mpi_init(cryb_mpi *X) { memset(X, 0, sizeof *X); MPI_FAST_INIT(X); } /* * Destroy an mpi. */ void mpi_destroy(cryb_mpi *X) { if (X->words != NULL && X->words != X->swords) { memset(X->words, 0, X->size); free(X->words); } mpi_init(X); } /* * Grow the underlying storage to fit at least n bits */ int mpi_grow(cryb_mpi *X, unsigned int n) { uint32_t *words; size_t size; if (X->words == NULL) MPI_FAST_INIT(X); size = (n + 31) / 32; if (X->size >= size) return (0); size = RUP(size, CRYB_MPI_SWORDS); if ((words = calloc(1, size * sizeof *words)) == NULL) return (-1); memcpy(words, X->words, X->size * sizeof *words); memset(X->words, 0, X->size * sizeof *words); if (X->words != X->swords) free(X->words); X->words = words; X->size = size; return (0); } /* * Set X to zero */ void mpi_zero(cryb_mpi *X) { if (X->words == NULL) { MPI_FAST_INIT(X); } else { memset(X->words, 0, X->size); X->neg = 0; X->msb = 0; } } /* * Flip sign */ void mpi_negate(cryb_mpi *X) { if (X->msb > 0) X->neg = !X->neg; } /* * Copy the contents of Y into X */ int mpi_copy(cryb_mpi *X, const cryb_mpi *Y) { if (X == Y) return (0); mpi_zero(X); if (mpi_grow(X, Y->msb) != 0) return (-1); X->msb = Y->msb; X->neg = Y->neg; memcpy(X->words, Y->words, X->size * sizeof *X->words); return (0); } /* * Swap the contents of X and Y */ void mpi_swap(cryb_mpi *X, cryb_mpi *Y) { cryb_mpi T; memcpy(&T, X, sizeof T); memcpy(X, Y, sizeof *X); memcpy(Y, &T, sizeof *Y); if (X->words == Y->swords) X->words = X->swords; if (Y->words == X->swords) Y->words = Y->swords; } /* * Load value from an array of bytes */ int mpi_load(cryb_mpi *X, const uint8_t *a, size_t len) { int i; mpi_zero(X); /* skip zeroes */ while (len > 0 && *a == 0) --len, ++a; if (len == 0) return (0); /* make room */ if (mpi_grow(X, len * 8) != 0) return (-1); /* load whole words */ for (i = 0; len >= 4; ++i, len -= 4) X->words[i] = a[len - 4] << 24 | a[len - 3] << 16 | a[len - 2] << 8 | a[len - 1]; /* load remaining bytes */ switch (len) { case 3: X->words[i] |= a[len - 3] << 16; case 2: X->words[i] |= a[len - 2] << 8; case 1: X->words[i] |= a[len - 1]; break; case 0: --i; CRYB_NO_DEFAULT_CASE; } /* i now points to the msw */ /* compute msb of msw */ for (X->msb = 31; X->msb > 0; --X->msb) if (X->words[i] & (1 << X->msb)) break; /* add msw offset */ X->msb += i * 32 + 1; return (0); } /* * Set value of X from integer z */ int mpi_set(cryb_mpi *X, int32_t z) { uint32_t zabs; mpi_zero(X); if (mpi_grow(X, sizeof z * 8) != 0) return (-1); if (z < 0) { X->neg = 1; zabs = -z; } else { zabs = z; } X->words[0] = zabs; while (zabs > 0) { X->msb++; zabs >>= 1; } return (0); }