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-#ifndef PQCLEAN_FALCON512_CLEAN_INNER_H
-#define PQCLEAN_FALCON512_CLEAN_INNER_H
-
-
-/*
- * Internal functions for Falcon. This is not the API intended to be
- * used by applications; instead, this internal API provides all the
- * primitives on which wrappers build to provide external APIs.
- *
- * ==========================(LICENSE BEGIN)============================
- *
- * Copyright (c) 2017-2019 Falcon Project
- *
- * 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.
- *
- * ===========================(LICENSE END)=============================
- *
- * @author Thomas Pornin <thomas.pornin@nccgroup.com>
- */
-
-/*
- * IMPORTANT API RULES
- * -------------------
- *
- * This API has some non-trivial usage rules:
- *
- *
- * - All public functions (i.e. the non-static ones) must be referenced
- * with the PQCLEAN_FALCON512_CLEAN_ macro (e.g. PQCLEAN_FALCON512_CLEAN_verify_raw for the verify_raw()
- * function). That macro adds a prefix to the name, which is
- * configurable with the FALCON_PREFIX macro. This allows compiling
- * the code into a specific "namespace" and potentially including
- * several versions of this code into a single application (e.g. to
- * have an AVX2 and a non-AVX2 variants and select the one to use at
- * runtime based on availability of AVX2 opcodes).
- *
- * - Functions that need temporary buffers expects them as a final
- * tmp[] array of type uint8_t*, with a size which is documented for
- * each function. However, most have some alignment requirements,
- * because they will use the array to store 16-bit, 32-bit or 64-bit
- * values (e.g. uint64_t or double). The caller must ensure proper
- * alignment. What happens on unaligned access depends on the
- * underlying architecture, ranging from a slight time penalty
- * to immediate termination of the process.
- *
- * - Some functions rely on specific rounding rules and precision for
- * floating-point numbers. On some systems (in particular 32-bit x86
- * with the 387 FPU), this requires setting an hardware control
- * word. The caller MUST use set_fpu_cw() to ensure proper precision:
- *
- * oldcw = set_fpu_cw(2);
- * PQCLEAN_FALCON512_CLEAN_sign_dyn(...);
- * set_fpu_cw(oldcw);
- *
- * On systems where the native floating-point precision is already
- * proper, or integer-based emulation is used, the set_fpu_cw()
- * function does nothing, so it can be called systematically.
- */
-#include "fips202.h"
-#include "fpr.h"
-#include <stdint.h>
-#include <stdlib.h>
-#include <string.h>
-
-
-
-
-
-/*
- * Some computations with floating-point elements, in particular
- * rounding to the nearest integer, rely on operations using _exactly_
- * the precision of IEEE-754 binary64 type (i.e. 52 bits). On 32-bit
- * x86, the 387 FPU may be used (depending on the target OS) and, in
- * that case, may use more precision bits (i.e. 64 bits, for an 80-bit
- * total type length); to prevent miscomputations, we define an explicit
- * function that modifies the precision in the FPU control word.
- *
- * set_fpu_cw() sets the precision to the provided value, and returns
- * the previously set precision; callers are supposed to restore the
- * previous precision on exit. The correct (52-bit) precision is
- * configured with the value "2". On unsupported compilers, or on
- * targets other than 32-bit x86, or when the native 'double' type is
- * not used, the set_fpu_cw() function does nothing at all.
- */
-#define set_fpu_cw PQCLEAN_FALCON512_CLEAN_set_fpu_cw
-unsigned set_fpu_cw(unsigned x);
-
-/* ==================================================================== */
-/*
- * SHAKE256 implementation (shake.c).
- *
- * API is defined to be easily replaced with the fips202.h API defined
- * as part of PQClean.
- */
-
-
-
-#define inner_shake256_context shake256incctx
-#define inner_shake256_init(sc) shake256_inc_init(sc)
-#define inner_shake256_inject(sc, in, len) shake256_inc_absorb(sc, in, len)
-#define inner_shake256_flip(sc) shake256_inc_finalize(sc)
-#define inner_shake256_extract(sc, out, len) shake256_inc_squeeze(out, len, sc)
-#define inner_shake256_ctx_release(sc) shake256_inc_ctx_release(sc)
-
-
-/* ==================================================================== */
-/*
- * Encoding/decoding functions (codec.c).
- *
- * Encoding functions take as parameters an output buffer (out) with
- * a given maximum length (max_out_len); returned value is the actual
- * number of bytes which have been written. If the output buffer is
- * not large enough, then 0 is returned (some bytes may have been
- * written to the buffer). If 'out' is NULL, then 'max_out_len' is
- * ignored; instead, the function computes and returns the actual
- * required output length (in bytes).
- *
- * Decoding functions take as parameters an input buffer (in) with
- * its maximum length (max_in_len); returned value is the actual number
- * of bytes that have been read from the buffer. If the provided length
- * is too short, then 0 is returned.
- *
- * Values to encode or decode are vectors of integers, with N = 2^logn
- * elements.
- *
- * Three encoding formats are defined:
- *
- * - modq: sequence of values modulo 12289, each encoded over exactly
- * 14 bits. The encoder and decoder verify that integers are within
- * the valid range (0..12288). Values are arrays of uint16.
- *
- * - trim: sequence of signed integers, a specified number of bits
- * each. The number of bits is provided as parameter and includes
- * the sign bit. Each integer x must be such that |x| < 2^(bits-1)
- * (which means that the -2^(bits-1) value is forbidden); encode and
- * decode functions check that property. Values are arrays of
- * int16_t or int8_t, corresponding to names 'trim_i16' and
- * 'trim_i8', respectively.
- *
- * - comp: variable-length encoding for signed integers; each integer
- * uses a minimum of 9 bits, possibly more. This is normally used
- * only for signatures.
- *
- */
-
-size_t PQCLEAN_FALCON512_CLEAN_modq_encode(void *out, size_t max_out_len,
- const uint16_t *x, unsigned logn);
-size_t PQCLEAN_FALCON512_CLEAN_trim_i16_encode(void *out, size_t max_out_len,
- const int16_t *x, unsigned logn, unsigned bits);
-size_t PQCLEAN_FALCON512_CLEAN_trim_i8_encode(void *out, size_t max_out_len,
- const int8_t *x, unsigned logn, unsigned bits);
-size_t PQCLEAN_FALCON512_CLEAN_comp_encode(void *out, size_t max_out_len,
- const int16_t *x, unsigned logn);
-
-size_t PQCLEAN_FALCON512_CLEAN_modq_decode(uint16_t *x, unsigned logn,
- const void *in, size_t max_in_len);
-size_t PQCLEAN_FALCON512_CLEAN_trim_i16_decode(int16_t *x, unsigned logn, unsigned bits,
- const void *in, size_t max_in_len);
-size_t PQCLEAN_FALCON512_CLEAN_trim_i8_decode(int8_t *x, unsigned logn, unsigned bits,
- const void *in, size_t max_in_len);
-size_t PQCLEAN_FALCON512_CLEAN_comp_decode(int16_t *x, unsigned logn,
- const void *in, size_t max_in_len);
-
-/*
- * Number of bits for key elements, indexed by logn (1 to 10). This
- * is at most 8 bits for all degrees, but some degrees may have shorter
- * elements.
- */
-extern const uint8_t PQCLEAN_FALCON512_CLEAN_max_fg_bits[];
-extern const uint8_t PQCLEAN_FALCON512_CLEAN_max_FG_bits[];
-
-/*
- * Maximum size, in bits, of elements in a signature, indexed by logn
- * (1 to 10). The size includes the sign bit.
- */
-extern const uint8_t PQCLEAN_FALCON512_CLEAN_max_sig_bits[];
-
-/* ==================================================================== */
-/*
- * Support functions used for both signature generation and signature
- * verification (common.c).
- */
-
-/*
- * From a SHAKE256 context (must be already flipped), produce a new
- * point. This is the non-constant-time version, which may leak enough
- * information to serve as a stop condition on a brute force attack on
- * the hashed message (provided that the nonce value is known).
- */
-void PQCLEAN_FALCON512_CLEAN_hash_to_point_vartime(inner_shake256_context *sc,
- uint16_t *x, unsigned logn);
-
-/*
- * From a SHAKE256 context (must be already flipped), produce a new
- * point. The temporary buffer (tmp) must have room for 2*2^logn bytes.
- * This function is constant-time but is typically more expensive than
- * PQCLEAN_FALCON512_CLEAN_hash_to_point_vartime().
- *
- * tmp[] must have 16-bit alignment.
- */
-void PQCLEAN_FALCON512_CLEAN_hash_to_point_ct(inner_shake256_context *sc,
- uint16_t *x, unsigned logn, uint8_t *tmp);
-
-/*
- * Tell whether a given vector (2N coordinates, in two halves) is
- * acceptable as a signature. This compares the appropriate norm of the
- * vector with the acceptance bound. Returned value is 1 on success
- * (vector is short enough to be acceptable), 0 otherwise.
- */
-int PQCLEAN_FALCON512_CLEAN_is_short(const int16_t *s1, const int16_t *s2, unsigned logn);
-
-/*
- * Tell whether a given vector (2N coordinates, in two halves) is
- * acceptable as a signature. Instead of the first half s1, this
- * function receives the "saturated squared norm" of s1, i.e. the
- * sum of the squares of the coordinates of s1 (saturated at 2^32-1
- * if the sum exceeds 2^31-1).
- *
- * Returned value is 1 on success (vector is short enough to be
- * acceptable), 0 otherwise.
- */
-int PQCLEAN_FALCON512_CLEAN_is_short_half(uint32_t sqn, const int16_t *s2, unsigned logn);
-
-/* ==================================================================== */
-/*
- * Signature verification functions (vrfy.c).
- */
-
-/*
- * Convert a public key to NTT + Montgomery format. Conversion is done
- * in place.
- */
-void PQCLEAN_FALCON512_CLEAN_to_ntt_monty(uint16_t *h, unsigned logn);
-
-/*
- * Internal signature verification code:
- * c0[] contains the hashed nonce+message
- * s2[] is the decoded signature
- * h[] contains the public key, in NTT + Montgomery format
- * logn is the degree log
- * tmp[] temporary, must have at least 2*2^logn bytes
- * Returned value is 1 on success, 0 on error.
- *
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_verify_raw(const uint16_t *c0, const int16_t *s2,
- const uint16_t *h, unsigned logn, uint8_t *tmp);
-
-/*
- * Compute the public key h[], given the private key elements f[] and
- * g[]. This computes h = g/f mod phi mod q, where phi is the polynomial
- * modulus. This function returns 1 on success, 0 on error (an error is
- * reported if f is not invertible mod phi mod q).
- *
- * The tmp[] array must have room for at least 2*2^logn elements.
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_compute_public(uint16_t *h,
- const int8_t *f, const int8_t *g, unsigned logn, uint8_t *tmp);
-
-/*
- * Recompute the fourth private key element. Private key consists in
- * four polynomials with small coefficients f, g, F and G, which are
- * such that fG - gF = q mod phi; furthermore, f is invertible modulo
- * phi and modulo q. This function recomputes G from f, g and F.
- *
- * The tmp[] array must have room for at least 4*2^logn bytes.
- *
- * Returned value is 1 in success, 0 on error (f not invertible).
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_complete_private(int8_t *G,
- const int8_t *f, const int8_t *g, const int8_t *F,
- unsigned logn, uint8_t *tmp);
-
-/*
- * Test whether a given polynomial is invertible modulo phi and q.
- * Polynomial coefficients are small integers.
- *
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_is_invertible(
- const int16_t *s2, unsigned logn, uint8_t *tmp);
-
-/*
- * Count the number of elements of value zero in the NTT representation
- * of the given polynomial: this is the number of primitive 2n-th roots
- * of unity (modulo q = 12289) that are roots of the provided polynomial
- * (taken modulo q).
- *
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_count_nttzero(const int16_t *sig, unsigned logn, uint8_t *tmp);
-
-/*
- * Internal signature verification with public key recovery:
- * h[] receives the public key (NOT in NTT/Montgomery format)
- * c0[] contains the hashed nonce+message
- * s1[] is the first signature half
- * s2[] is the second signature half
- * logn is the degree log
- * tmp[] temporary, must have at least 2*2^logn bytes
- * Returned value is 1 on success, 0 on error. Success is returned if
- * the signature is a short enough vector; in that case, the public
- * key has been written to h[]. However, the caller must still
- * verify that h[] is the correct value (e.g. with regards to a known
- * hash of the public key).
- *
- * h[] may not overlap with any of the other arrays.
- *
- * tmp[] must have 16-bit alignment.
- */
-int PQCLEAN_FALCON512_CLEAN_verify_recover(uint16_t *h,
- const uint16_t *c0, const int16_t *s1, const int16_t *s2,
- unsigned logn, uint8_t *tmp);
-
-/* ==================================================================== */
-/*
- * Implementation of floating-point real numbers (fpr.h, fpr.c).
- */
-
-/*
- * Real numbers are implemented by an extra header file, included below.
- * This is meant to support pluggable implementations. The default
- * implementation relies on the C type 'double'.
- *
- * The included file must define the following types, functions and
- * constants:
- *
- * fpr
- * type for a real number
- *
- * fpr fpr_of(int64_t i)
- * cast an integer into a real number; source must be in the
- * -(2^63-1)..+(2^63-1) range
- *
- * fpr fpr_scaled(int64_t i, int sc)
- * compute i*2^sc as a real number; source 'i' must be in the
- * -(2^63-1)..+(2^63-1) range
- *
- * fpr fpr_ldexp(fpr x, int e)
- * compute x*2^e
- *
- * int64_t fpr_rint(fpr x)
- * round x to the nearest integer; x must be in the -(2^63-1)
- * to +(2^63-1) range
- *
- * int64_t fpr_trunc(fpr x)
- * round to an integer; this rounds towards zero; value must
- * be in the -(2^63-1) to +(2^63-1) range
- *
- * fpr fpr_add(fpr x, fpr y)
- * compute x + y
- *
- * fpr fpr_sub(fpr x, fpr y)
- * compute x - y
- *
- * fpr fpr_neg(fpr x)
- * compute -x
- *
- * fpr fpr_half(fpr x)
- * compute x/2
- *
- * fpr fpr_double(fpr x)
- * compute x*2
- *
- * fpr fpr_mul(fpr x, fpr y)
- * compute x * y
- *
- * fpr fpr_sqr(fpr x)
- * compute x * x
- *
- * fpr fpr_inv(fpr x)
- * compute 1/x
- *
- * fpr fpr_div(fpr x, fpr y)
- * compute x/y
- *
- * fpr fpr_sqrt(fpr x)
- * compute the square root of x
- *
- * int fpr_lt(fpr x, fpr y)
- * return 1 if x < y, 0 otherwise
- *
- * uint64_t fpr_expm_p63(fpr x)
- * return exp(x), assuming that 0 <= x < log(2). Returned value
- * is scaled to 63 bits (i.e. it really returns 2^63*exp(-x),
- * rounded to the nearest integer). Computation should have a
- * precision of at least 45 bits.
- *
- * const fpr fpr_gm_tab[]
- * array of constants for FFT / iFFT
- *
- * const fpr fpr_p2_tab[]
- * precomputed powers of 2 (by index, 0 to 10)
- *
- * Constants of type 'fpr':
- *
- * fpr fpr_q 12289
- * fpr fpr_inverse_of_q 1/12289
- * fpr fpr_inv_2sqrsigma0 1/(2*(1.8205^2))
- * fpr fpr_inv_sigma 1/(1.55*sqrt(12289))
- * fpr fpr_sigma_min_9 1.291500756233514568549480827642
- * fpr fpr_sigma_min_10 1.311734375905083682667395805765
- * fpr fpr_log2 log(2)
- * fpr fpr_inv_log2 1/log(2)
- * fpr fpr_bnorm_max 16822.4121
- * fpr fpr_zero 0
- * fpr fpr_one 1
- * fpr fpr_two 2
- * fpr fpr_onehalf 0.5
- * fpr fpr_ptwo31 2^31
- * fpr fpr_ptwo31m1 2^31-1
- * fpr fpr_mtwo31m1 -(2^31-1)
- * fpr fpr_ptwo63m1 2^63-1
- * fpr fpr_mtwo63m1 -(2^63-1)
- * fpr fpr_ptwo63 2^63
- */
-
-/* ==================================================================== */
-/*
- * RNG (rng.c).
- *
- * A PRNG based on ChaCha20 is implemented; it is seeded from a SHAKE256
- * context (flipped) and is used for bulk pseudorandom generation.
- * A system-dependent seed generator is also provided.
- */
-
-/*
- * Obtain a random seed from the system RNG.
- *
- * Returned value is 1 on success, 0 on error.
- */
-int PQCLEAN_FALCON512_CLEAN_get_seed(void *seed, size_t seed_len);
-
-/*
- * Structure for a PRNG. This includes a large buffer so that values
- * get generated in advance. The 'state' is used to keep the current
- * PRNG algorithm state (contents depend on the selected algorithm).
- *
- * The unions with 'dummy_u64' are there to ensure proper alignment for
- * 64-bit direct access.
- */
-typedef struct {
- union {
- uint8_t d[512]; /* MUST be 512, exactly */
- uint64_t dummy_u64;
- } buf;
- size_t ptr;
- union {
- uint8_t d[256];
- uint64_t dummy_u64;
- } state;
- int type;
-} prng;
-
-/*
- * Instantiate a PRNG. That PRNG will feed over the provided SHAKE256
- * context (in "flipped" state) to obtain its initial state.
- */
-void PQCLEAN_FALCON512_CLEAN_prng_init(prng *p, inner_shake256_context *src);
-
-/*
- * Refill the PRNG buffer. This is normally invoked automatically, and
- * is declared here only so that prng_get_u64() may be inlined.
- */
-void PQCLEAN_FALCON512_CLEAN_prng_refill(prng *p);
-
-/*
- * Get some bytes from a PRNG.
- */
-void PQCLEAN_FALCON512_CLEAN_prng_get_bytes(prng *p, void *dst, size_t len);
-
-/*
- * Get a 64-bit random value from a PRNG.
- */
-#define prng_get_u64 PQCLEAN_FALCON512_CLEAN_prng_get_u64
-uint64_t prng_get_u64(prng *p);
-
-/*
- * Get an 8-bit random value from a PRNG.
- */
-#define prng_get_u8 PQCLEAN_FALCON512_CLEAN_prng_get_u8
-unsigned prng_get_u8(prng *p);
-
-/* ==================================================================== */
-/*
- * FFT (falcon-fft.c).
- *
- * A real polynomial is represented as an array of N 'fpr' elements.
- * The FFT representation of a real polynomial contains N/2 complex
- * elements; each is stored as two real numbers, for the real and
- * imaginary parts, respectively. See falcon-fft.c for details on the
- * internal representation.
- */
-
-/*
- * Compute FFT in-place: the source array should contain a real
- * polynomial (N coefficients); its storage area is reused to store
- * the FFT representation of that polynomial (N/2 complex numbers).
- *
- * 'logn' MUST lie between 1 and 10 (inclusive).
- */
-void PQCLEAN_FALCON512_CLEAN_FFT(fpr *f, unsigned logn);
-
-/*
- * Compute the inverse FFT in-place: the source array should contain the
- * FFT representation of a real polynomial (N/2 elements); the resulting
- * real polynomial (N coefficients of type 'fpr') is written over the
- * array.
- *
- * 'logn' MUST lie between 1 and 10 (inclusive).
- */
-void PQCLEAN_FALCON512_CLEAN_iFFT(fpr *f, unsigned logn);
-
-/*
- * Add polynomial b to polynomial a. a and b MUST NOT overlap. This
- * function works in both normal and FFT representations.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_add(fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Subtract polynomial b from polynomial a. a and b MUST NOT overlap. This
- * function works in both normal and FFT representations.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_sub(fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Negate polynomial a. This function works in both normal and FFT
- * representations.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_neg(fpr *a, unsigned logn);
-
-/*
- * Compute adjoint of polynomial a. This function works only in FFT
- * representation.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_adj_fft(fpr *a, unsigned logn);
-
-/*
- * Multiply polynomial a with polynomial b. a and b MUST NOT overlap.
- * This function works only in FFT representation.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_mul_fft(fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Multiply polynomial a with the adjoint of polynomial b. a and b MUST NOT
- * overlap. This function works only in FFT representation.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_muladj_fft(fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Multiply polynomial with its own adjoint. This function works only in FFT
- * representation.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_mulselfadj_fft(fpr *a, unsigned logn);
-
-/*
- * Multiply polynomial with a real constant. This function works in both
- * normal and FFT representations.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_mulconst(fpr *a, fpr x, unsigned logn);
-
-/*
- * Divide polynomial a by polynomial b, modulo X^N+1 (FFT representation).
- * a and b MUST NOT overlap.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_div_fft(fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Given f and g (in FFT representation), compute 1/(f*adj(f)+g*adj(g))
- * (also in FFT representation). Since the result is auto-adjoint, all its
- * coordinates in FFT representation are real; as such, only the first N/2
- * values of d[] are filled (the imaginary parts are skipped).
- *
- * Array d MUST NOT overlap with either a or b.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_invnorm2_fft(fpr *d,
- const fpr *a, const fpr *b, unsigned logn);
-
-/*
- * Given F, G, f and g (in FFT representation), compute F*adj(f)+G*adj(g)
- * (also in FFT representation). Destination d MUST NOT overlap with
- * any of the source arrays.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_add_muladj_fft(fpr *d,
- const fpr *F, const fpr *G,
- const fpr *f, const fpr *g, unsigned logn);
-
-/*
- * Multiply polynomial a by polynomial b, where b is autoadjoint. Both
- * a and b are in FFT representation. Since b is autoadjoint, all its
- * FFT coefficients are real, and the array b contains only N/2 elements.
- * a and b MUST NOT overlap.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_mul_autoadj_fft(fpr *a,
- const fpr *b, unsigned logn);
-
-/*
- * Divide polynomial a by polynomial b, where b is autoadjoint. Both
- * a and b are in FFT representation. Since b is autoadjoint, all its
- * FFT coefficients are real, and the array b contains only N/2 elements.
- * a and b MUST NOT overlap.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_div_autoadj_fft(fpr *a,
- const fpr *b, unsigned logn);
-
-/*
- * Perform an LDL decomposition of an auto-adjoint matrix G, in FFT
- * representation. On input, g00, g01 and g11 are provided (where the
- * matrix G = [[g00, g01], [adj(g01), g11]]). On output, the d00, l10
- * and d11 values are written in g00, g01 and g11, respectively
- * (with D = [[d00, 0], [0, d11]] and L = [[1, 0], [l10, 1]]).
- * (In fact, d00 = g00, so the g00 operand is left unmodified.)
- */
-void PQCLEAN_FALCON512_CLEAN_poly_LDL_fft(const fpr *g00,
- fpr *g01, fpr *g11, unsigned logn);
-
-/*
- * Perform an LDL decomposition of an auto-adjoint matrix G, in FFT
- * representation. This is identical to poly_LDL_fft() except that
- * g00, g01 and g11 are unmodified; the outputs d11 and l10 are written
- * in two other separate buffers provided as extra parameters.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_LDLmv_fft(fpr *d11, fpr *l10,
- const fpr *g00, const fpr *g01,
- const fpr *g11, unsigned logn);
-
-/*
- * Apply "split" operation on a polynomial in FFT representation:
- * f = f0(x^2) + x*f1(x^2), for half-size polynomials f0 and f1
- * (polynomials modulo X^(N/2)+1). f0, f1 and f MUST NOT overlap.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_split_fft(fpr *f0, fpr *f1,
- const fpr *f, unsigned logn);
-
-/*
- * Apply "merge" operation on two polynomials in FFT representation:
- * given f0 and f1, polynomials moduo X^(N/2)+1, this function computes
- * f = f0(x^2) + x*f1(x^2), in FFT representation modulo X^N+1.
- * f MUST NOT overlap with either f0 or f1.
- */
-void PQCLEAN_FALCON512_CLEAN_poly_merge_fft(fpr *f,
- const fpr *f0, const fpr *f1, unsigned logn);
-
-/* ==================================================================== */
-/*
- * Key pair generation.
- */
-
-/*
- * Required sizes of the temporary buffer (in bytes).
- *
- * This size is 28*2^logn bytes, except for degrees 2 and 4 (logn = 1
- * or 2) where it is slightly greater.
- */
-#define FALCON_KEYGEN_TEMP_1 136
-#define FALCON_KEYGEN_TEMP_2 272
-#define FALCON_KEYGEN_TEMP_3 224
-#define FALCON_KEYGEN_TEMP_4 448
-#define FALCON_KEYGEN_TEMP_5 896
-#define FALCON_KEYGEN_TEMP_6 1792
-#define FALCON_KEYGEN_TEMP_7 3584
-#define FALCON_KEYGEN_TEMP_8 7168
-#define FALCON_KEYGEN_TEMP_9 14336
-#define FALCON_KEYGEN_TEMP_10 28672
-
-/*
- * Generate a new key pair. Randomness is extracted from the provided
- * SHAKE256 context, which must have already been seeded and flipped.
- * The tmp[] array must have suitable size (see FALCON_KEYGEN_TEMP_*
- * macros) and be aligned for the uint32_t, uint64_t and fpr types.
- *
- * The private key elements are written in f, g, F and G, and the
- * public key is written in h. Either or both of G and h may be NULL,
- * in which case the corresponding element is not returned (they can
- * be recomputed from f, g and F).
- *
- * tmp[] must have 64-bit alignment.
- * This function uses floating-point rounding (see set_fpu_cw()).
- */
-void PQCLEAN_FALCON512_CLEAN_keygen(inner_shake256_context *rng,
- int8_t *f, int8_t *g, int8_t *F, int8_t *G, uint16_t *h,
- unsigned logn, uint8_t *tmp);
-
-/* ==================================================================== */
-/*
- * Signature generation.
- */
-
-/*
- * Expand a private key into the B0 matrix in FFT representation and
- * the LDL tree. All the values are written in 'expanded_key', for
- * a total of (8*logn+40)*2^logn bytes.
- *
- * The tmp[] array must have room for at least 48*2^logn bytes.
- *
- * tmp[] must have 64-bit alignment.
- * This function uses floating-point rounding (see set_fpu_cw()).
- */
-void PQCLEAN_FALCON512_CLEAN_expand_privkey(fpr *expanded_key,
- const int8_t *f, const int8_t *g, const int8_t *F, const int8_t *G,
- unsigned logn, uint8_t *tmp);
-
-/*
- * Compute a signature over the provided hashed message (hm); the
- * signature value is one short vector. This function uses an
- * expanded key (as generated by PQCLEAN_FALCON512_CLEAN_expand_privkey()).
- *
- * The sig[] and hm[] buffers may overlap.
- *
- * On successful output, the start of the tmp[] buffer contains the s1
- * vector (as int16_t elements).
- *
- * The minimal size (in bytes) of tmp[] is 48*2^logn bytes.
- *
- * tmp[] must have 64-bit alignment.
- * This function uses floating-point rounding (see set_fpu_cw()).
- */
-void PQCLEAN_FALCON512_CLEAN_sign_tree(int16_t *sig, inner_shake256_context *rng,
- const fpr *expanded_key,
- const uint16_t *hm, unsigned logn, uint8_t *tmp);
-
-/*
- * Compute a signature over the provided hashed message (hm); the
- * signature value is one short vector. This function uses a raw
- * key and dynamically recompute the B0 matrix and LDL tree; this
- * saves RAM since there is no needed for an expanded key, but
- * increases the signature cost.
- *
- * The sig[] and hm[] buffers may overlap.
- *
- * On successful output, the start of the tmp[] buffer contains the s1
- * vector (as int16_t elements).
- *
- * The minimal size (in bytes) of tmp[] is 72*2^logn bytes.
- *
- * tmp[] must have 64-bit alignment.
- * This function uses floating-point rounding (see set_fpu_cw()).
- */
-void PQCLEAN_FALCON512_CLEAN_sign_dyn(int16_t *sig, inner_shake256_context *rng,
- const int8_t *f, const int8_t *g,
- const int8_t *F, const int8_t *G,
- const uint16_t *hm, unsigned logn, uint8_t *tmp);
-
-/*
- * Internal sampler engine. Exported for tests.
- *
- * sampler_context wraps around a source of random numbers (PRNG) and
- * the sigma_min value (nominally dependent on the degree).
- *
- * sampler() takes as parameters:
- * ctx pointer to the sampler_context structure
- * mu center for the distribution
- * isigma inverse of the distribution standard deviation
- * It returns an integer sampled along the Gaussian distribution centered
- * on mu and of standard deviation sigma = 1/isigma.
- *
- * gaussian0_sampler() takes as parameter a pointer to a PRNG, and
- * returns an integer sampled along a half-Gaussian with standard
- * deviation sigma0 = 1.8205 (center is 0, returned value is
- * nonnegative).
- */
-
-typedef struct {
- prng p;
- fpr sigma_min;
-} sampler_context;
-
-int PQCLEAN_FALCON512_CLEAN_sampler(void *ctx, fpr mu, fpr isigma);
-
-int PQCLEAN_FALCON512_CLEAN_gaussian0_sampler(prng *p);
-
-/* ==================================================================== */
-
-#endif