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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.
+ */
+
+#ifndef BR_BEARSSL_EC_H__
+#define BR_BEARSSL_EC_H__
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include "bearssl_rand.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/** \file bearssl_ec.h
+ *
+ * # Elliptic Curves
+ *
+ * This file documents the EC implementations provided with BearSSL, and
+ * ECDSA.
+ *
+ * ## Elliptic Curve API
+ *
+ * Only "named curves" are supported. Each EC implementation supports
+ * one or several named curves, identified by symbolic identifiers.
+ * These identifiers are small integers, that correspond to the values
+ * registered by the
+ * [IANA](http://www.iana.org/assignments/tls-parameters/tls-parameters.xhtml#tls-parameters-8).
+ *
+ * Since all currently defined elliptic curve identifiers are in the 0..31
+ * range, it is convenient to encode support of some curves in a 32-bit
+ * word, such that bit x corresponds to curve of identifier x.
+ *
+ * An EC implementation is incarnated by a `br_ec_impl` instance, that
+ * offers the following fields:
+ *
+ *   - `supported_curves`
+ *
+ *      A 32-bit word that documents the identifiers of the curves supported
+ *      by this implementation.
+ *
+ *   - `generator()`
+ *
+ *      Callback method that returns a pointer to the conventional generator
+ *      point for that curve.
+ *
+ *   - `order()`
+ *
+ *      Callback method that returns a pointer to the subgroup order for
+ *      that curve. That value uses unsigned big-endian encoding.
+ *
+ *   - `xoff()`
+ *
+ *      Callback method that returns the offset and length of the X
+ *      coordinate in an encoded point.
+ *
+ *   - `mul()`
+ *
+ *      Multiply a curve point with an integer.
+ *
+ *   - `mulgen()`
+ *
+ *      Multiply the curve generator with an integer. This may be faster
+ *      than the generic `mul()`.
+ *
+ *   - `muladd()`
+ *
+ *      Multiply two curve points by two integers, and return the sum of
+ *      the two products.
+ *
+ * All curve points are represented in uncompressed format. The `mul()`
+ * and `muladd()` methods take care to validate that the provided points
+ * are really part of the relevant curve subgroup.
+ *
+ * For all point multiplication functions, the following holds:
+ *
+ *   - Functions validate that the provided points are valid members
+ *     of the relevant curve subgroup. An error is reported if that is
+ *     not the case.
+ *
+ *   - Processing is constant-time, even if the point operands are not
+ *     valid. This holds for both the source and resulting points, and
+ *     the multipliers (integers). Only the byte length of the provided
+ *     multiplier arrays (not their actual value length in bits) may
+ *     leak through timing-based side channels.
+ *
+ *   - The multipliers (integers) MUST be lower than the subgroup order.
+ *     If this property is not met, then the result is indeterminate,
+ *     but an error value is not necessarily returned.
+ * 
+ *
+ * ## ECDSA
+ *
+ * ECDSA signatures have two standard formats, called "raw" and "asn1".
+ * Internally, such a signature is a pair of modular integers `(r,s)`.
+ * The "raw" format is the concatenation of the unsigned big-endian
+ * encodings of these two integers, possibly left-padded with zeros so
+ * that they have the same encoded length. The "asn1" format is the
+ * DER encoding of an ASN.1 structure that contains the two integer
+ * values:
+ *
+ *     ECDSASignature ::= SEQUENCE {
+ *         r   INTEGER,
+ *         s   INTEGER
+ *     }
+ *
+ * In general, in all of X.509 and SSL/TLS, the "asn1" format is used.
+ * BearSSL offers ECDSA implementations for both formats; conversion
+ * functions between the two formats are also provided. Conversion of a
+ * "raw" format signature into "asn1" may enlarge a signature by no more
+ * than 9 bytes for all supported curves; conversely, conversion of an
+ * "asn1" signature to "raw" may expand the signature but the "raw"
+ * length will never be more than twice the length of the "asn1" length
+ * (and usually it will be shorter).
+ *
+ * Note that for a given signature, the "raw" format is not fully
+ * deterministic, in that it does not enforce a minimal common length.
+ */
+
+/*
+ * Standard curve ID. These ID are equal to the assigned numerical
+ * identifiers assigned to these curves for TLS:
+ *    http://www.iana.org/assignments/tls-parameters/tls-parameters.xhtml#tls-parameters-8
+ */
+
+/** \brief Identifier for named curve sect163k1. */
+#define BR_EC_sect163k1           1
+
+/** \brief Identifier for named curve sect163r1. */
+#define BR_EC_sect163r1           2
+
+/** \brief Identifier for named curve sect163r2. */
+#define BR_EC_sect163r2           3
+
+/** \brief Identifier for named curve sect193r1. */
+#define BR_EC_sect193r1           4
+
+/** \brief Identifier for named curve sect193r2. */
+#define BR_EC_sect193r2           5
+
+/** \brief Identifier for named curve sect233k1. */
+#define BR_EC_sect233k1           6
+
+/** \brief Identifier for named curve sect233r1. */
+#define BR_EC_sect233r1           7
+
+/** \brief Identifier for named curve sect239k1. */
+#define BR_EC_sect239k1           8
+
+/** \brief Identifier for named curve sect283k1. */
+#define BR_EC_sect283k1           9
+
+/** \brief Identifier for named curve sect283r1. */
+#define BR_EC_sect283r1          10
+
+/** \brief Identifier for named curve sect409k1. */
+#define BR_EC_sect409k1          11
+
+/** \brief Identifier for named curve sect409r1. */
+#define BR_EC_sect409r1          12
+
+/** \brief Identifier for named curve sect571k1. */
+#define BR_EC_sect571k1          13
+
+/** \brief Identifier for named curve sect571r1. */
+#define BR_EC_sect571r1          14
+
+/** \brief Identifier for named curve secp160k1. */
+#define BR_EC_secp160k1          15
+
+/** \brief Identifier for named curve secp160r1. */
+#define BR_EC_secp160r1          16
+
+/** \brief Identifier for named curve secp160r2. */
+#define BR_EC_secp160r2          17
+
+/** \brief Identifier for named curve secp192k1. */
+#define BR_EC_secp192k1          18
+
+/** \brief Identifier for named curve secp192r1. */
+#define BR_EC_secp192r1          19
+
+/** \brief Identifier for named curve secp224k1. */
+#define BR_EC_secp224k1          20
+
+/** \brief Identifier for named curve secp224r1. */
+#define BR_EC_secp224r1          21
+
+/** \brief Identifier for named curve secp256k1. */
+#define BR_EC_secp256k1          22
+
+/** \brief Identifier for named curve secp256r1. */
+#define BR_EC_secp256r1          23
+
+/** \brief Identifier for named curve secp384r1. */
+#define BR_EC_secp384r1          24
+
+/** \brief Identifier for named curve secp521r1. */
+#define BR_EC_secp521r1          25
+
+/** \brief Identifier for named curve brainpoolP256r1. */
+#define BR_EC_brainpoolP256r1    26
+
+/** \brief Identifier for named curve brainpoolP384r1. */
+#define BR_EC_brainpoolP384r1    27
+
+/** \brief Identifier for named curve brainpoolP512r1. */
+#define BR_EC_brainpoolP512r1    28
+
+/** \brief Identifier for named curve Curve25519. */
+#define BR_EC_curve25519         29
+
+/** \brief Identifier for named curve Curve448. */
+#define BR_EC_curve448           30
+
+/**
+ * \brief Structure for an EC public key.
+ */
+typedef struct {
+	/** \brief Identifier for the curve used by this key. */
+	int curve;
+	/** \brief Public curve point (uncompressed format). */
+	unsigned char *q;
+	/** \brief Length of public curve point (in bytes). */
+	size_t qlen;
+} br_ec_public_key;
+
+/**
+ * \brief Structure for an EC private key.
+ *
+ * The private key is an integer modulo the curve subgroup order. The
+ * encoding below tolerates extra leading zeros. In general, it is
+ * recommended that the private key has the same length as the curve
+ * subgroup order.
+ */
+typedef struct {
+	/** \brief Identifier for the curve used by this key. */
+	int curve;
+	/** \brief Private key (integer, unsigned big-endian encoding). */
+	unsigned char *x;
+	/** \brief Private key length (in bytes). */
+	size_t xlen;
+} br_ec_private_key;
+
+/**
+ * \brief Type for an EC implementation.
+ */
+typedef struct {
+	/**
+	 * \brief Supported curves.
+	 *
+	 * This word is a bitfield: bit `x` is set if the curve of ID `x`
+	 * is supported. E.g. an implementation supporting both NIST P-256
+	 * (secp256r1, ID 23) and NIST P-384 (secp384r1, ID 24) will have
+	 * value `0x01800000` in this field.
+	 */
+	uint32_t supported_curves;
+
+	/**
+	 * \brief Get the conventional generator.
+	 *
+	 * This function returns the conventional generator (encoded
+	 * curve point) for the specified curve. This function MUST NOT
+	 * be called if the curve is not supported.
+	 *
+	 * \param curve   curve identifier.
+	 * \param len     receiver for the encoded generator length (in bytes).
+	 * \return  the encoded generator.
+	 */
+	const unsigned char *(*generator)(int curve, size_t *len);
+
+	/**
+	 * \brief Get the subgroup order.
+	 *
+	 * This function returns the order of the subgroup generated by
+	 * the conventional generator, for the specified curve. Unsigned
+	 * big-endian encoding is used. This function MUST NOT be called
+	 * if the curve is not supported.
+	 *
+	 * \param curve   curve identifier.
+	 * \param len     receiver for the encoded order length (in bytes).
+	 * \return  the encoded order.
+	 */
+	const unsigned char *(*order)(int curve, size_t *len);
+
+	/**
+	 * \brief Get the offset and length for the X coordinate.
+	 *
+	 * This function returns the offset and length (in bytes) of
+	 * the X coordinate in an encoded non-zero point.
+	 *
+	 * \param curve   curve identifier.
+	 * \param len     receiver for the X coordinate length (in bytes).
+	 * \return  the offset for the X coordinate (in bytes).
+	 */
+	size_t (*xoff)(int curve, size_t *len);
+
+	/**
+	 * \brief Multiply a curve point by an integer.
+	 *
+	 * The source point is provided in array `G` (of size `Glen` bytes);
+	 * the multiplication result is written over it. The multiplier
+	 * `x` (of size `xlen` bytes) uses unsigned big-endian encoding.
+	 *
+	 * Rules:
+	 *
+	 *   - The specified curve MUST be supported.
+	 *
+	 *   - The source point must be a valid point on the relevant curve
+	 *     subgroup (and not the "point at infinity" either). If this is
+	 *     not the case, then this function returns an error (0).
+	 *
+	 *   - The multiplier integer MUST be non-zero and less than the
+	 *     curve subgroup order. If this property does not hold, then
+	 *     the result is indeterminate and an error code is not
+	 *     guaranteed.
+	 *
+	 * Returned value is 1 on success, 0 on error. On error, the
+	 * contents of `G` are indeterminate.
+	 *
+	 * \param G       point to multiply.
+	 * \param Glen    length of the encoded point (in bytes).
+	 * \param x       multiplier (unsigned big-endian).
+	 * \param xlen    multiplier length (in bytes).
+	 * \param curve   curve identifier.
+	 * \return  1 on success, 0 on error.
+	 */
+	uint32_t (*mul)(unsigned char *G, size_t Glen,
+		const unsigned char *x, size_t xlen, int curve);
+
+	/**
+	 * \brief Multiply the generator by an integer.
+	 *
+	 * The multiplier MUST be non-zero and less than the curve
+	 * subgroup order. Results are indeterminate if this property
+	 * does not hold.
+	 *
+	 * \param R       output buffer for the point.
+	 * \param x       multiplier (unsigned big-endian).
+	 * \param xlen    multiplier length (in bytes).
+	 * \param curve   curve identifier.
+	 * \return  encoded result point length (in bytes).
+	 */
+	size_t (*mulgen)(unsigned char *R,
+		const unsigned char *x, size_t xlen, int curve);
+
+	/**
+	 * \brief Multiply two points by two integers and add the
+	 * results.
+	 *
+	 * The point `x*A + y*B` is computed and written back in the `A`
+	 * array.
+	 *
+	 * Rules:
+	 *
+	 *   - The specified curve MUST be supported.
+	 *
+	 *   - The source points (`A` and `B`)  must be valid points on
+	 *     the relevant curve subgroup (and not the "point at
+	 *     infinity" either). If this is not the case, then this
+	 *     function returns an error (0).
+	 *
+	 *   - If the `B` pointer is `NULL`, then the conventional
+	 *     subgroup generator is used. With some implementations,
+	 *     this may be faster than providing a pointer to the
+	 *     generator.
+	 *
+	 *   - The multiplier integers (`x` and `y`) MUST be non-zero
+	 *     and less than the curve subgroup order. If either integer
+	 *     is zero, then an error is reported, but if one of them is
+	 *     not lower than the subgroup order, then the result is
+	 *     indeterminate and an error code is not guaranteed.
+	 *
+	 *   - If the final result is the point at infinity, then an
+	 *     error is returned.
+	 *
+	 * Returned value is 1 on success, 0 on error. On error, the
+	 * contents of `A` are indeterminate.
+	 *
+	 * \param A       first point to multiply.
+	 * \param B       second point to multiply (`NULL` for the generator).
+	 * \param len     common length of the encoded points (in bytes).
+	 * \param x       multiplier for `A` (unsigned big-endian).
+	 * \param xlen    length of multiplier for `A` (in bytes).
+	 * \param y       multiplier for `A` (unsigned big-endian).
+	 * \param ylen    length of multiplier for `A` (in bytes).
+	 * \param curve   curve identifier.
+	 * \return  1 on success, 0 on error.
+	 */
+	uint32_t (*muladd)(unsigned char *A, const unsigned char *B, size_t len,
+		const unsigned char *x, size_t xlen,
+		const unsigned char *y, size_t ylen, int curve);
+} br_ec_impl;
+
+/**
+ * \brief EC implementation "i31".
+ *
+ * This implementation internally uses generic code for modular integers,
+ * with a representation as sequences of 31-bit words. It supports secp256r1,
+ * secp384r1 and secp521r1 (aka NIST curves P-256, P-384 and P-521).
+ */
+extern const br_ec_impl br_ec_prime_i31;
+
+/**
+ * \brief EC implementation "i15".
+ *
+ * This implementation internally uses generic code for modular integers,
+ * with a representation as sequences of 15-bit words. It supports secp256r1,
+ * secp384r1 and secp521r1 (aka NIST curves P-256, P-384 and P-521).
+ */
+extern const br_ec_impl br_ec_prime_i15;
+
+/**
+ * \brief EC implementation "m15" for P-256.
+ *
+ * This implementation uses specialised code for curve secp256r1 (also
+ * known as NIST P-256), with optional Karatsuba decomposition, and fast
+ * modular reduction thanks to the field modulus special format. Only
+ * 32-bit multiplications are used (with 32-bit results, not 64-bit).
+ */
+extern const br_ec_impl br_ec_p256_m15;
+
+/**
+ * \brief EC implementation "m31" for P-256.
+ *
+ * This implementation uses specialised code for curve secp256r1 (also
+ * known as NIST P-256), relying on multiplications of 31-bit values
+ * (MUL31).
+ */
+extern const br_ec_impl br_ec_p256_m31;
+
+/**
+ * \brief EC implementation "m62" (specialised code) for P-256.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 64 bits, with a 128-bit result. This implementation is
+ * defined only on platforms that offer the 64x64->128 multiplication
+ * support; use `br_ec_p256_m62_get()` to dynamically obtain a pointer
+ * to that implementation.
+ */
+extern const br_ec_impl br_ec_p256_m62;
+
+/**
+ * \brief Get the "m62" implementation of P-256, if available.
+ *
+ * \return  the implementation, or 0.
+ */
+const br_ec_impl *br_ec_p256_m62_get(void);
+
+/**
+ * \brief EC implementation "m64" (specialised code) for P-256.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 64 bits, with a 128-bit result. This implementation is
+ * defined only on platforms that offer the 64x64->128 multiplication
+ * support; use `br_ec_p256_m64_get()` to dynamically obtain a pointer
+ * to that implementation.
+ */
+extern const br_ec_impl br_ec_p256_m64;
+
+/**
+ * \brief Get the "m64" implementation of P-256, if available.
+ *
+ * \return  the implementation, or 0.
+ */
+const br_ec_impl *br_ec_p256_m64_get(void);
+
+/**
+ * \brief EC implementation "i15" (generic code) for Curve25519.
+ *
+ * This implementation uses the generic code for modular integers (with
+ * 15-bit words) to support Curve25519. Due to the specificities of the
+ * curve definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_i15;
+
+/**
+ * \brief EC implementation "i31" (generic code) for Curve25519.
+ *
+ * This implementation uses the generic code for modular integers (with
+ * 31-bit words) to support Curve25519. Due to the specificities of the
+ * curve definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_i31;
+
+/**
+ * \brief EC implementation "m15" (specialised code) for Curve25519.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 15 bits. Due to the specificities of the curve
+ * definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_m15;
+
+/**
+ * \brief EC implementation "m31" (specialised code) for Curve25519.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 31 bits. Due to the specificities of the curve
+ * definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_m31;
+
+/**
+ * \brief EC implementation "m62" (specialised code) for Curve25519.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 62 bits, with a 124-bit result. This implementation is
+ * defined only on platforms that offer the 64x64->128 multiplication
+ * support; use `br_ec_c25519_m62_get()` to dynamically obtain a pointer
+ * to that implementation. Due to the specificities of the curve
+ * definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_m62;
+
+/**
+ * \brief Get the "m62" implementation of Curve25519, if available.
+ *
+ * \return  the implementation, or 0.
+ */
+const br_ec_impl *br_ec_c25519_m62_get(void);
+
+/**
+ * \brief EC implementation "m64" (specialised code) for Curve25519.
+ *
+ * This implementation uses custom code relying on multiplication of
+ * integers up to 64 bits, with a 128-bit result. This implementation is
+ * defined only on platforms that offer the 64x64->128 multiplication
+ * support; use `br_ec_c25519_m64_get()` to dynamically obtain a pointer
+ * to that implementation. Due to the specificities of the curve
+ * definition, the following applies:
+ *
+ *   - `muladd()` is not implemented (the function returns 0 systematically).
+ *   - `order()` returns 2^255-1, since the point multiplication algorithm
+ *     accepts any 32-bit integer as input (it clears the top bit and low
+ *     three bits systematically).
+ */
+extern const br_ec_impl br_ec_c25519_m64;
+
+/**
+ * \brief Get the "m64" implementation of Curve25519, if available.
+ *
+ * \return  the implementation, or 0.
+ */
+const br_ec_impl *br_ec_c25519_m64_get(void);
+
+/**
+ * \brief Aggregate EC implementation "m15".
+ *
+ * This implementation is a wrapper for:
+ *
+ *   - `br_ec_c25519_m15` for Curve25519
+ *   - `br_ec_p256_m15` for NIST P-256
+ *   - `br_ec_prime_i15` for other curves (NIST P-384 and NIST-P512)
+ */
+extern const br_ec_impl br_ec_all_m15;
+
+/**
+ * \brief Aggregate EC implementation "m31".
+ *
+ * This implementation is a wrapper for:
+ *
+ *   - `br_ec_c25519_m31` for Curve25519
+ *   - `br_ec_p256_m31` for NIST P-256
+ *   - `br_ec_prime_i31` for other curves (NIST P-384 and NIST-P512)
+ */
+extern const br_ec_impl br_ec_all_m31;
+
+/**
+ * \brief Get the "default" EC implementation for the current system.
+ *
+ * This returns a pointer to the preferred implementation on the
+ * current system.
+ *
+ * \return  the default EC implementation.
+ */
+const br_ec_impl *br_ec_get_default(void);
+
+/**
+ * \brief Convert a signature from "raw" to "asn1".
+ *
+ * Conversion is done "in place" and the new length is returned.
+ * Conversion may enlarge the signature, but by no more than 9 bytes at
+ * most. On error, 0 is returned (error conditions include an odd raw
+ * signature length, or an oversized integer).
+ *
+ * \param sig       signature to convert.
+ * \param sig_len   signature length (in bytes).
+ * \return  the new signature length, or 0 on error.
+ */
+size_t br_ecdsa_raw_to_asn1(void *sig, size_t sig_len);
+
+/**
+ * \brief Convert a signature from "asn1" to "raw".
+ *
+ * Conversion is done "in place" and the new length is returned.
+ * Conversion may enlarge the signature, but the new signature length
+ * will be less than twice the source length at most. On error, 0 is
+ * returned (error conditions include an invalid ASN.1 structure or an
+ * oversized integer).
+ *
+ * \param sig       signature to convert.
+ * \param sig_len   signature length (in bytes).
+ * \return  the new signature length, or 0 on error.
+ */
+size_t br_ecdsa_asn1_to_raw(void *sig, size_t sig_len);
+
+/**
+ * \brief Type for an ECDSA signer function.
+ *
+ * A pointer to the EC implementation is provided. The hash value is
+ * assumed to have the length inferred from the designated hash function
+ * class.
+ *
+ * Signature is written in the buffer pointed to by `sig`, and the length
+ * (in bytes) is returned. On error, nothing is written in the buffer,
+ * and 0 is returned. This function returns 0 if the specified curve is
+ * not supported by the provided EC implementation.
+ *
+ * The signature format is either "raw" or "asn1", depending on the
+ * implementation; maximum length is predictable from the implemented
+ * curve:
+ *
+ * | curve      | raw | asn1 |
+ * | :--------- | --: | ---: |
+ * | NIST P-256 |  64 |   72 |
+ * | NIST P-384 |  96 |  104 |
+ * | NIST P-521 | 132 |  139 |
+ *
+ * \param impl         EC implementation to use.
+ * \param hf           hash function used to process the data.
+ * \param hash_value   signed data (hashed).
+ * \param sk           EC private key.
+ * \param sig          destination buffer.
+ * \return  the signature length (in bytes), or 0 on error.
+ */
+typedef size_t (*br_ecdsa_sign)(const br_ec_impl *impl,
+	const br_hash_class *hf, const void *hash_value,
+	const br_ec_private_key *sk, void *sig);
+
+/**
+ * \brief Type for an ECDSA signature verification function.
+ *
+ * A pointer to the EC implementation is provided. The hashed value,
+ * computed over the purportedly signed data, is also provided with
+ * its length.
+ *
+ * The signature format is either "raw" or "asn1", depending on the
+ * implementation.
+ *
+ * Returned value is 1 on success (valid signature), 0 on error. This
+ * function returns 0 if the specified curve is not supported by the
+ * provided EC implementation.
+ *
+ * \param impl       EC implementation to use.
+ * \param hash       signed data (hashed).
+ * \param hash_len   hash value length (in bytes).
+ * \param pk         EC public key.
+ * \param sig        signature.
+ * \param sig_len    signature length (in bytes).
+ * \return  1 on success, 0 on error.
+ */
+typedef uint32_t (*br_ecdsa_vrfy)(const br_ec_impl *impl,
+	const void *hash, size_t hash_len,
+	const br_ec_public_key *pk, const void *sig, size_t sig_len);
+
+/**
+ * \brief ECDSA signature generator, "i31" implementation, "asn1" format.
+ *
+ * \see br_ecdsa_sign()
+ *
+ * \param impl         EC implementation to use.
+ * \param hf           hash function used to process the data.
+ * \param hash_value   signed data (hashed).
+ * \param sk           EC private key.
+ * \param sig          destination buffer.
+ * \return  the signature length (in bytes), or 0 on error.
+ */
+size_t br_ecdsa_i31_sign_asn1(const br_ec_impl *impl,
+	const br_hash_class *hf, const void *hash_value,
+	const br_ec_private_key *sk, void *sig);
+
+/**
+ * \brief ECDSA signature generator, "i31" implementation, "raw" format.
+ *
+ * \see br_ecdsa_sign()
+ *
+ * \param impl         EC implementation to use.
+ * \param hf           hash function used to process the data.
+ * \param hash_value   signed data (hashed).
+ * \param sk           EC private key.
+ * \param sig          destination buffer.
+ * \return  the signature length (in bytes), or 0 on error.
+ */
+size_t br_ecdsa_i31_sign_raw(const br_ec_impl *impl,
+	const br_hash_class *hf, const void *hash_value,
+	const br_ec_private_key *sk, void *sig);
+
+/**
+ * \brief ECDSA signature verifier, "i31" implementation, "asn1" format.
+ *
+ * \see br_ecdsa_vrfy()
+ *
+ * \param impl       EC implementation to use.
+ * \param hash       signed data (hashed).
+ * \param hash_len   hash value length (in bytes).
+ * \param pk         EC public key.
+ * \param sig        signature.
+ * \param sig_len    signature length (in bytes).
+ * \return  1 on success, 0 on error.
+ */
+uint32_t br_ecdsa_i31_vrfy_asn1(const br_ec_impl *impl,
+	const void *hash, size_t hash_len,
+	const br_ec_public_key *pk, const void *sig, size_t sig_len);
+
+/**
+ * \brief ECDSA signature verifier, "i31" implementation, "raw" format.
+ *
+ * \see br_ecdsa_vrfy()
+ *
+ * \param impl       EC implementation to use.
+ * \param hash       signed data (hashed).
+ * \param hash_len   hash value length (in bytes).
+ * \param pk         EC public key.
+ * \param sig        signature.
+ * \param sig_len    signature length (in bytes).
+ * \return  1 on success, 0 on error.
+ */
+uint32_t br_ecdsa_i31_vrfy_raw(const br_ec_impl *impl,
+	const void *hash, size_t hash_len,
+	const br_ec_public_key *pk, const void *sig, size_t sig_len);
+
+/**
+ * \brief ECDSA signature generator, "i15" implementation, "asn1" format.
+ *
+ * \see br_ecdsa_sign()
+ *
+ * \param impl         EC implementation to use.
+ * \param hf           hash function used to process the data.
+ * \param hash_value   signed data (hashed).
+ * \param sk           EC private key.
+ * \param sig          destination buffer.
+ * \return  the signature length (in bytes), or 0 on error.
+ */
+size_t br_ecdsa_i15_sign_asn1(const br_ec_impl *impl,
+	const br_hash_class *hf, const void *hash_value,
+	const br_ec_private_key *sk, void *sig);
+
+/**
+ * \brief ECDSA signature generator, "i15" implementation, "raw" format.
+ *
+ * \see br_ecdsa_sign()
+ *
+ * \param impl         EC implementation to use.
+ * \param hf           hash function used to process the data.
+ * \param hash_value   signed data (hashed).
+ * \param sk           EC private key.
+ * \param sig          destination buffer.
+ * \return  the signature length (in bytes), or 0 on error.
+ */
+size_t br_ecdsa_i15_sign_raw(const br_ec_impl *impl,
+	const br_hash_class *hf, const void *hash_value,
+	const br_ec_private_key *sk, void *sig);
+
+/**
+ * \brief ECDSA signature verifier, "i15" implementation, "asn1" format.
+ *
+ * \see br_ecdsa_vrfy()
+ *
+ * \param impl       EC implementation to use.
+ * \param hash       signed data (hashed).
+ * \param hash_len   hash value length (in bytes).
+ * \param pk         EC public key.
+ * \param sig        signature.
+ * \param sig_len    signature length (in bytes).
+ * \return  1 on success, 0 on error.
+ */
+uint32_t br_ecdsa_i15_vrfy_asn1(const br_ec_impl *impl,
+	const void *hash, size_t hash_len,
+	const br_ec_public_key *pk, const void *sig, size_t sig_len);
+
+/**
+ * \brief ECDSA signature verifier, "i15" implementation, "raw" format.
+ *
+ * \see br_ecdsa_vrfy()
+ *
+ * \param impl       EC implementation to use.
+ * \param hash       signed data (hashed).
+ * \param hash_len   hash value length (in bytes).
+ * \param pk         EC public key.
+ * \param sig        signature.
+ * \param sig_len    signature length (in bytes).
+ * \return  1 on success, 0 on error.
+ */
+uint32_t br_ecdsa_i15_vrfy_raw(const br_ec_impl *impl,
+	const void *hash, size_t hash_len,
+	const br_ec_public_key *pk, const void *sig, size_t sig_len);
+
+/**
+ * \brief Get "default" ECDSA implementation (signer, asn1 format).
+ *
+ * This returns the preferred implementation of ECDSA signature generation
+ * ("asn1" output format) on the current system.
+ *
+ * \return  the default implementation.
+ */
+br_ecdsa_sign br_ecdsa_sign_asn1_get_default(void);
+
+/**
+ * \brief Get "default" ECDSA implementation (signer, raw format).
+ *
+ * This returns the preferred implementation of ECDSA signature generation
+ * ("raw" output format) on the current system.
+ *
+ * \return  the default implementation.
+ */
+br_ecdsa_sign br_ecdsa_sign_raw_get_default(void);
+
+/**
+ * \brief Get "default" ECDSA implementation (verifier, asn1 format).
+ *
+ * This returns the preferred implementation of ECDSA signature verification
+ * ("asn1" output format) on the current system.
+ *
+ * \return  the default implementation.
+ */
+br_ecdsa_vrfy br_ecdsa_vrfy_asn1_get_default(void);
+
+/**
+ * \brief Get "default" ECDSA implementation (verifier, raw format).
+ *
+ * This returns the preferred implementation of ECDSA signature verification
+ * ("raw" output format) on the current system.
+ *
+ * \return  the default implementation.
+ */
+br_ecdsa_vrfy br_ecdsa_vrfy_raw_get_default(void);
+
+/**
+ * \brief Maximum size for EC private key element buffer.
+ *
+ * This is the largest number of bytes that `br_ec_keygen()` may need or
+ * ever return.
+ */
+#define BR_EC_KBUF_PRIV_MAX_SIZE   72
+
+/**
+ * \brief Maximum size for EC public key element buffer.
+ *
+ * This is the largest number of bytes that `br_ec_compute_public()` may
+ * need or ever return.
+ */
+#define BR_EC_KBUF_PUB_MAX_SIZE    145
+
+/**
+ * \brief Generate a new EC private key.
+ *
+ * If the specified `curve` is not supported by the elliptic curve
+ * implementation (`impl`), then this function returns zero.
+ *
+ * The `sk` structure fields are set to the new private key data. In
+ * particular, `sk.x` is made to point to the provided key buffer (`kbuf`),
+ * in which the actual private key data is written. That buffer is assumed
+ * to be large enough. The `BR_EC_KBUF_PRIV_MAX_SIZE` defines the maximum
+ * size for all supported curves.
+ *
+ * The number of bytes used in `kbuf` is returned. If `kbuf` is `NULL`, then
+ * the private key is not actually generated, and `sk` may also be `NULL`;
+ * the minimum length for `kbuf` is still computed and returned.
+ *
+ * If `sk` is `NULL` but `kbuf` is not `NULL`, then the private key is
+ * still generated and stored in `kbuf`.
+ *
+ * \param rng_ctx   source PRNG context (already initialized).
+ * \param impl      the elliptic curve implementation.
+ * \param sk        the private key structure to fill, or `NULL`.
+ * \param kbuf      the key element buffer, or `NULL`.
+ * \param curve     the curve identifier.
+ * \return  the key data length (in bytes), or zero.
+ */
+size_t br_ec_keygen(const br_prng_class **rng_ctx,
+	const br_ec_impl *impl, br_ec_private_key *sk,
+	void *kbuf, int curve);
+
+/**
+ * \brief Compute EC public key from EC private key.
+ *
+ * This function uses the provided elliptic curve implementation (`impl`)
+ * to compute the public key corresponding to the private key held in `sk`.
+ * The public key point is written into `kbuf`, which is then linked from
+ * the `*pk` structure. The size of the public key point, i.e. the number
+ * of bytes used in `kbuf`, is returned.
+ *
+ * If `kbuf` is `NULL`, then the public key point is NOT computed, and
+ * the public key structure `*pk` is unmodified (`pk` may be `NULL` in
+ * that case). The size of the public key point is still returned.
+ *
+ * If `pk` is `NULL` but `kbuf` is not `NULL`, then the public key
+ * point is computed and stored in `kbuf`, and its size is returned.
+ *
+ * If the curve used by the private key is not supported by the curve
+ * implementation, then this function returns zero.
+ *
+ * The private key MUST be valid. An off-range private key value is not
+ * necessarily detected, and leads to unpredictable results.
+ *
+ * \param impl   the elliptic curve implementation.
+ * \param pk     the public key structure to fill (or `NULL`).
+ * \param kbuf   the public key point buffer (or `NULL`).
+ * \param sk     the source private key.
+ * \return  the public key point length (in bytes), or zero.
+ */
+size_t br_ec_compute_pub(const br_ec_impl *impl, br_ec_public_key *pk,
+	void *kbuf, const br_ec_private_key *sk);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif