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- /* SPDX-License-Identifier: GPL-2.0-or-later */
- /* mpi.h - Multi Precision Integers
- * Copyright (C) 1994, 1996, 1998, 1999,
- * 2000, 2001 Free Software Foundation, Inc.
- *
- * This file is part of GNUPG.
- *
- * Note: This code is heavily based on the GNU MP Library.
- * Actually it's the same code with only minor changes in the
- * way the data is stored; this is to support the abstraction
- * of an optional secure memory allocation which may be used
- * to avoid revealing of sensitive data due to paging etc.
- * The GNU MP Library itself is published under the LGPL;
- * however I decided to publish this code under the plain GPL.
- */
- #ifndef G10_MPI_H
- #define G10_MPI_H
- #include <linux/types.h>
- #include <linux/scatterlist.h>
- #define BYTES_PER_MPI_LIMB (BITS_PER_LONG / 8)
- #define BITS_PER_MPI_LIMB BITS_PER_LONG
- typedef unsigned long int mpi_limb_t;
- typedef signed long int mpi_limb_signed_t;
- struct gcry_mpi {
- int alloced; /* array size (# of allocated limbs) */
- int nlimbs; /* number of valid limbs */
- int nbits; /* the real number of valid bits (info only) */
- int sign; /* indicates a negative number */
- unsigned flags; /* bit 0: array must be allocated in secure memory space */
- /* bit 1: not used */
- /* bit 2: the limb is a pointer to some m_alloced data */
- mpi_limb_t *d; /* array with the limbs */
- };
- typedef struct gcry_mpi *MPI;
- #define mpi_get_nlimbs(a) ((a)->nlimbs)
- #define mpi_has_sign(a) ((a)->sign)
- /*-- mpiutil.c --*/
- MPI mpi_alloc(unsigned nlimbs);
- void mpi_clear(MPI a);
- void mpi_free(MPI a);
- int mpi_resize(MPI a, unsigned nlimbs);
- static inline MPI mpi_new(unsigned int nbits)
- {
- return mpi_alloc((nbits + BITS_PER_MPI_LIMB - 1) / BITS_PER_MPI_LIMB);
- }
- MPI mpi_copy(MPI a);
- MPI mpi_alloc_like(MPI a);
- void mpi_snatch(MPI w, MPI u);
- MPI mpi_set(MPI w, MPI u);
- MPI mpi_set_ui(MPI w, unsigned long u);
- MPI mpi_alloc_set_ui(unsigned long u);
- void mpi_swap_cond(MPI a, MPI b, unsigned long swap);
- /* Constants used to return constant MPIs. See mpi_init if you
- * want to add more constants.
- */
- #define MPI_NUMBER_OF_CONSTANTS 6
- enum gcry_mpi_constants {
- MPI_C_ZERO,
- MPI_C_ONE,
- MPI_C_TWO,
- MPI_C_THREE,
- MPI_C_FOUR,
- MPI_C_EIGHT
- };
- MPI mpi_const(enum gcry_mpi_constants no);
- /*-- mpicoder.c --*/
- /* Different formats of external big integer representation. */
- enum gcry_mpi_format {
- GCRYMPI_FMT_NONE = 0,
- GCRYMPI_FMT_STD = 1, /* Twos complement stored without length. */
- GCRYMPI_FMT_PGP = 2, /* As used by OpenPGP (unsigned only). */
- GCRYMPI_FMT_SSH = 3, /* As used by SSH (like STD but with length). */
- GCRYMPI_FMT_HEX = 4, /* Hex format. */
- GCRYMPI_FMT_USG = 5, /* Like STD but unsigned. */
- GCRYMPI_FMT_OPAQUE = 8 /* Opaque format (some functions only). */
- };
- MPI mpi_read_raw_data(const void *xbuffer, size_t nbytes);
- MPI mpi_read_from_buffer(const void *buffer, unsigned *ret_nread);
- int mpi_fromstr(MPI val, const char *str);
- MPI mpi_scanval(const char *string);
- MPI mpi_read_raw_from_sgl(struct scatterlist *sgl, unsigned int len);
- void *mpi_get_buffer(MPI a, unsigned *nbytes, int *sign);
- int mpi_read_buffer(MPI a, uint8_t *buf, unsigned buf_len, unsigned *nbytes,
- int *sign);
- int mpi_write_to_sgl(MPI a, struct scatterlist *sg, unsigned nbytes,
- int *sign);
- int mpi_print(enum gcry_mpi_format format, unsigned char *buffer,
- size_t buflen, size_t *nwritten, MPI a);
- /*-- mpi-mod.c --*/
- void mpi_mod(MPI rem, MPI dividend, MPI divisor);
- /* Context used with Barrett reduction. */
- struct barrett_ctx_s;
- typedef struct barrett_ctx_s *mpi_barrett_t;
- mpi_barrett_t mpi_barrett_init(MPI m, int copy);
- void mpi_barrett_free(mpi_barrett_t ctx);
- void mpi_mod_barrett(MPI r, MPI x, mpi_barrett_t ctx);
- void mpi_mul_barrett(MPI w, MPI u, MPI v, mpi_barrett_t ctx);
- /*-- mpi-pow.c --*/
- int mpi_powm(MPI res, MPI base, MPI exp, MPI mod);
- /*-- mpi-cmp.c --*/
- int mpi_cmp_ui(MPI u, ulong v);
- int mpi_cmp(MPI u, MPI v);
- int mpi_cmpabs(MPI u, MPI v);
- /*-- mpi-sub-ui.c --*/
- int mpi_sub_ui(MPI w, MPI u, unsigned long vval);
- /*-- mpi-bit.c --*/
- void mpi_normalize(MPI a);
- unsigned mpi_get_nbits(MPI a);
- int mpi_test_bit(MPI a, unsigned int n);
- void mpi_set_bit(MPI a, unsigned int n);
- void mpi_set_highbit(MPI a, unsigned int n);
- void mpi_clear_highbit(MPI a, unsigned int n);
- void mpi_clear_bit(MPI a, unsigned int n);
- void mpi_rshift_limbs(MPI a, unsigned int count);
- void mpi_rshift(MPI x, MPI a, unsigned int n);
- void mpi_lshift_limbs(MPI a, unsigned int count);
- void mpi_lshift(MPI x, MPI a, unsigned int n);
- /*-- mpi-add.c --*/
- void mpi_add_ui(MPI w, MPI u, unsigned long v);
- void mpi_add(MPI w, MPI u, MPI v);
- void mpi_sub(MPI w, MPI u, MPI v);
- void mpi_addm(MPI w, MPI u, MPI v, MPI m);
- void mpi_subm(MPI w, MPI u, MPI v, MPI m);
- /*-- mpi-mul.c --*/
- void mpi_mul(MPI w, MPI u, MPI v);
- void mpi_mulm(MPI w, MPI u, MPI v, MPI m);
- /*-- mpi-div.c --*/
- void mpi_tdiv_r(MPI rem, MPI num, MPI den);
- void mpi_fdiv_r(MPI rem, MPI dividend, MPI divisor);
- void mpi_fdiv_q(MPI quot, MPI dividend, MPI divisor);
- /*-- mpi-inv.c --*/
- int mpi_invm(MPI x, MPI a, MPI n);
- /*-- ec.c --*/
- /* Object to represent a point in projective coordinates */
- struct gcry_mpi_point {
- MPI x;
- MPI y;
- MPI z;
- };
- typedef struct gcry_mpi_point *MPI_POINT;
- /* Models describing an elliptic curve */
- enum gcry_mpi_ec_models {
- /* The Short Weierstrass equation is
- * y^2 = x^3 + ax + b
- */
- MPI_EC_WEIERSTRASS = 0,
- /* The Montgomery equation is
- * by^2 = x^3 + ax^2 + x
- */
- MPI_EC_MONTGOMERY,
- /* The Twisted Edwards equation is
- * ax^2 + y^2 = 1 + bx^2y^2
- * Note that we use 'b' instead of the commonly used 'd'.
- */
- MPI_EC_EDWARDS
- };
- /* Dialects used with elliptic curves */
- enum ecc_dialects {
- ECC_DIALECT_STANDARD = 0,
- ECC_DIALECT_ED25519,
- ECC_DIALECT_SAFECURVE
- };
- /* This context is used with all our EC functions. */
- struct mpi_ec_ctx {
- enum gcry_mpi_ec_models model; /* The model describing this curve. */
- enum ecc_dialects dialect; /* The ECC dialect used with the curve. */
- int flags; /* Public key flags (not always used). */
- unsigned int nbits; /* Number of bits. */
- /* Domain parameters. Note that they may not all be set and if set
- * the MPIs may be flagged as constant.
- */
- MPI p; /* Prime specifying the field GF(p). */
- MPI a; /* First coefficient of the Weierstrass equation. */
- MPI b; /* Second coefficient of the Weierstrass equation. */
- MPI_POINT G; /* Base point (generator). */
- MPI n; /* Order of G. */
- unsigned int h; /* Cofactor. */
- /* The actual key. May not be set. */
- MPI_POINT Q; /* Public key. */
- MPI d; /* Private key. */
- const char *name; /* Name of the curve. */
- /* This structure is private to mpi/ec.c! */
- struct {
- struct {
- unsigned int a_is_pminus3:1;
- unsigned int two_inv_p:1;
- } valid; /* Flags to help setting the helper vars below. */
- int a_is_pminus3; /* True if A = P - 3. */
- MPI two_inv_p;
- mpi_barrett_t p_barrett;
- /* Scratch variables. */
- MPI scratch[11];
- /* Helper for fast reduction. */
- /* int nist_nbits; /\* If this is a NIST curve, the # of bits. *\/ */
- /* MPI s[10]; */
- /* MPI c; */
- } t;
- /* Curve specific computation routines for the field. */
- void (*addm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx);
- void (*subm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ec);
- void (*mulm)(MPI w, MPI u, MPI v, struct mpi_ec_ctx *ctx);
- void (*pow2)(MPI w, const MPI b, struct mpi_ec_ctx *ctx);
- void (*mul2)(MPI w, MPI u, struct mpi_ec_ctx *ctx);
- };
- void mpi_ec_init(struct mpi_ec_ctx *ctx, enum gcry_mpi_ec_models model,
- enum ecc_dialects dialect,
- int flags, MPI p, MPI a, MPI b);
- void mpi_ec_deinit(struct mpi_ec_ctx *ctx);
- MPI_POINT mpi_point_new(unsigned int nbits);
- void mpi_point_release(MPI_POINT p);
- void mpi_point_init(MPI_POINT p);
- void mpi_point_free_parts(MPI_POINT p);
- int mpi_ec_get_affine(MPI x, MPI y, MPI_POINT point, struct mpi_ec_ctx *ctx);
- void mpi_ec_add_points(MPI_POINT result,
- MPI_POINT p1, MPI_POINT p2,
- struct mpi_ec_ctx *ctx);
- void mpi_ec_mul_point(MPI_POINT result,
- MPI scalar, MPI_POINT point,
- struct mpi_ec_ctx *ctx);
- int mpi_ec_curve_point(MPI_POINT point, struct mpi_ec_ctx *ctx);
- /* inline functions */
- /**
- * mpi_get_size() - returns max size required to store the number
- *
- * @a: A multi precision integer for which we want to allocate a buffer
- *
- * Return: size required to store the number
- */
- static inline unsigned int mpi_get_size(MPI a)
- {
- return a->nlimbs * BYTES_PER_MPI_LIMB;
- }
- #endif /*G10_MPI_H */
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