ed448goldilocks/src/gen_headers/decaf.h.py

from curve_data import curve_data
from gen_file import gen_file

gen_file(
    name = "decaf/%(c_ns)s.h",
    doc = """@brief A group of prime order p, based on %(iso_to)s.""",
    code = """
#include <decaf/common.h>

#ifdef __cplusplus
extern "C" {
#endif

#define %(C_NS)s_LIMBS (%(gf_bits)d/DECAF_WORD_BITS)
#define %(C_NS)s_SCALAR_BITS %(scalar_bits)d
#define %(C_NS)s_SCALAR_LIMBS ((%(scalar_bits)d-1)/DECAF_WORD_BITS+1)

/** Galois field element internal structure */
#ifndef __%(C_NS)s_GF_DEFINED__
#define __%(C_NS)s_GF_DEFINED__ 1
typedef struct gf_%(longnum)s_s {
    /** @cond internal */
    decaf_word_t limb[%(C_NS)s_LIMBS];
    /** @endcond */
} __attribute__((aligned(32))) gf_%(longnum)s_s, gf_%(longnum)s_t[1];
#endif /* __%(C_NS)s_GF_DEFINED__ */

/** Number of bytes in a serialized point. */
#define %(C_NS)s_SER_BYTES %(ser_bytes)d

/** Number of bytes in a serialized scalar. */
#define %(C_NS)s_SCALAR_BYTES %(scalar_ser_bytes)d

/** Twisted Edwards extended homogeneous coordinates */
typedef struct %(c_ns)s_point_s {
    /** @cond internal */
    gf_%(longnum)s_t x,y,z,t;
    /** @endcond */
} %(c_ns)s_point_t[1];

/** Precomputed table based on a point.  Can be trivial implementation. */
struct %(c_ns)s_precomputed_s;

/** Precomputed table based on a point.  Can be trivial implementation. */
typedef struct %(c_ns)s_precomputed_s %(c_ns)s_precomputed_s; 

/** Size and alignment of precomputed point tables. */
extern const size_t sizeof_%(c_ns)s_precomputed_s API_VIS, alignof_%(c_ns)s_precomputed_s API_VIS;

/** Scalar is stored packed, because we don't need the speed. */
typedef struct %(c_ns)s_scalar_s {
    /** @cond internal */
    decaf_word_t limb[%(C_NS)s_SCALAR_LIMBS];
    /** @endcond */
} %(c_ns)s_scalar_t[1];

/** A scalar equal to 1. */
extern const %(c_ns)s_scalar_t %(c_ns)s_scalar_one API_VIS;

/** A scalar equal to 0. */
extern const %(c_ns)s_scalar_t %(c_ns)s_scalar_zero API_VIS;

/** The identity point on the curve. */
extern const %(c_ns)s_point_t %(c_ns)s_point_identity API_VIS;

/** An arbitrarily chosen base point on the curve. */
extern const %(c_ns)s_point_t %(c_ns)s_point_base API_VIS;

/** Precomputed table for the base point on the curve. */
extern const struct %(c_ns)s_precomputed_s *%(c_ns)s_precomputed_base API_VIS;

/**
 * @brief Read a scalar from wire format or from bytes.
 *
 * @param [in] ser Serialized form of a scalar.
 * @param [out] out Deserialized form.
 *
 * @retval DECAF_SUCCESS The scalar was correctly encoded.
 * @retval DECAF_FAILURE The scalar was greater than the modulus,
 * and has been reduced modulo that modulus.
 */
decaf_error_t %(c_ns)s_scalar_decode (
    %(c_ns)s_scalar_t out,
    const unsigned char ser[%(C_NS)s_SCALAR_BYTES]
) API_VIS WARN_UNUSED NONNULL2 NOINLINE;

/**
 * @brief Read a scalar from wire format or from bytes.  Reduces mod
 * scalar prime.
 *
 * @param [in] ser Serialized form of a scalar.
 * @param [in] ser_len Length of serialized form.
 * @param [out] out Deserialized form.
 */
void %(c_ns)s_scalar_decode_long (
    %(c_ns)s_scalar_t out,
    const unsigned char *ser,
    size_t ser_len
) API_VIS NONNULL2 NOINLINE;
    
/**
 * @brief Serialize a scalar to wire format.
 *
 * @param [out] ser Serialized form of a scalar.
 * @param [in] s Deserialized scalar.
 */
void %(c_ns)s_scalar_encode (
    unsigned char ser[%(C_NS)s_SCALAR_BYTES],
    const %(c_ns)s_scalar_t s
) API_VIS NONNULL2 NOINLINE NOINLINE;
        
/**
 * @brief Add two scalars.  The scalars may use the same memory.
 * @param [in] a One scalar.
 * @param [in] b Another scalar.
 * @param [out] out a+b.
 */
void %(c_ns)s_scalar_add (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a,
    const %(c_ns)s_scalar_t b
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Compare two scalars.
 * @param [in] a One scalar.
 * @param [in] b Another scalar.
 * @retval DECAF_TRUE The scalars are equal.
 * @retval DECAF_FALSE The scalars are not equal.
 */    
decaf_bool_t %(c_ns)s_scalar_eq (
    const %(c_ns)s_scalar_t a,
    const %(c_ns)s_scalar_t b
) API_VIS WARN_UNUSED NONNULL2 NOINLINE;

/**
 * @brief Subtract two scalars.  The scalars may use the same memory.
 * @param [in] a One scalar.
 * @param [in] b Another scalar.
 * @param [out] out a-b.
 */  
void %(c_ns)s_scalar_sub (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a,
    const %(c_ns)s_scalar_t b
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Multiply two scalars.  The scalars may use the same memory.
 * @param [in] a One scalar.
 * @param [in] b Another scalar.
 * @param [out] out a*b.
 */  
void %(c_ns)s_scalar_mul (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a,
    const %(c_ns)s_scalar_t b
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Invert a scalar.  When passed zero, return 0.  The input and output may alias.
 * @param [in] a A scalar.
 * @param [out] out 1/a.
 * @return DECAF_SUCCESS The input is nonzero.
 */  
decaf_error_t %(c_ns)s_scalar_invert (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a
) API_VIS WARN_UNUSED NONNULL2 NOINLINE;

/**
 * @brief Copy a scalar.  The scalars may use the same memory, in which
 * case this function does nothing.
 * @param [in] a A scalar.
 * @param [out] out Will become a copy of a.
 */
static inline void NONNULL2 %(c_ns)s_scalar_copy (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a
) {
    *out = *a;
}

/**
 * @brief Set a scalar to an unsigned integer.
 * @param [in] a An integer.
 * @param [out] out Will become equal to a.
 */  
void %(c_ns)s_scalar_set_unsigned (
    %(c_ns)s_scalar_t out,
    decaf_word_t a
) API_VIS NONNULL1;

/**
 * @brief Encode a point as a sequence of bytes.
 *
 * @param [out] ser The byte representation of the point.
 * @param [in] pt The point to encode.
 */
void %(c_ns)s_point_encode (
    uint8_t ser[%(C_NS)s_SER_BYTES],
    const %(c_ns)s_point_t pt
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Decode a point from a sequence of bytes.
 *
 * Every point has a unique encoding, so not every
 * sequence of bytes is a valid encoding.  If an invalid
 * encoding is given, the output is undefined.
 *
 * @param [out] pt The decoded point.
 * @param [in] ser The serialized version of the point.
 * @param [in] allow_identity DECAF_TRUE if the identity is a legal input.
 * @retval DECAF_SUCCESS The decoding succeeded.
 * @retval DECAF_FAILURE The decoding didn't succeed, because
 * ser does not represent a point.
 */
decaf_error_t %(c_ns)s_point_decode (
    %(c_ns)s_point_t pt,
    const uint8_t ser[%(C_NS)s_SER_BYTES],
    decaf_bool_t allow_identity
) API_VIS WARN_UNUSED NONNULL2 NOINLINE;

/**
 * @brief Copy a point.  The input and output may alias,
 * in which case this function does nothing.
 *
 * @param [out] a A copy of the point.
 * @param [in] b Any point.
 */
static inline void NONNULL2 %(c_ns)s_point_copy (
    %(c_ns)s_point_t a,
    const %(c_ns)s_point_t b
) {
    *a=*b;
}

/**
 * @brief Test whether two points are equal.  If yes, return
 * DECAF_TRUE, else return DECAF_FALSE.
 *
 * @param [in] a A point.
 * @param [in] b Another point.
 * @retval DECAF_TRUE The points are equal.
 * @retval DECAF_FALSE The points are not equal.
 */
decaf_bool_t %(c_ns)s_point_eq (
    const %(c_ns)s_point_t a,
    const %(c_ns)s_point_t b
) API_VIS WARN_UNUSED NONNULL2 NOINLINE;

/**
 * @brief Add two points to produce a third point.  The
 * input points and output point can be pointers to the same
 * memory.
 *
 * @param [out] sum The sum a+b.
 * @param [in] a An addend.
 * @param [in] b An addend.
 */
void %(c_ns)s_point_add (
    %(c_ns)s_point_t sum,
    const %(c_ns)s_point_t a,
    const %(c_ns)s_point_t b
) API_VIS NONNULL3;

/**
 * @brief Double a point.  Equivalent to
 * %(c_ns)s_point_add(two_a,a,a), but potentially faster.
 *
 * @param [out] two_a The sum a+a.
 * @param [in] a A point.
 */
void %(c_ns)s_point_double (
    %(c_ns)s_point_t two_a,
    const %(c_ns)s_point_t a
) API_VIS NONNULL2;

/**
 * @brief Subtract two points to produce a third point.  The
 * input points and output point can be pointers to the same
 * memory.
 *
 * @param [out] diff The difference a-b.
 * @param [in] a The minuend.
 * @param [in] b The subtrahend.
 */
void %(c_ns)s_point_sub (
    %(c_ns)s_point_t diff,
    const %(c_ns)s_point_t a,
    const %(c_ns)s_point_t b
) API_VIS NONNULL3;
    
/**
 * @brief Negate a point to produce another point.  The input
 * and output points can use the same memory.
 *
 * @param [out] nega The negated input point
 * @param [in] a The input point.
 */
void %(c_ns)s_point_negate (
   %(c_ns)s_point_t nega,
   const %(c_ns)s_point_t a
) API_VIS NONNULL2;

/**
 * @brief Multiply a base point by a scalar: scaled = scalar*base.
 *
 * @param [out] scaled The scaled point base*scalar
 * @param [in] base The point to be scaled.
 * @param [in] scalar The scalar to multiply by.
 */
void %(c_ns)s_point_scalarmul (
    %(c_ns)s_point_t scaled,
    const %(c_ns)s_point_t base,
    const %(c_ns)s_scalar_t scalar
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Multiply a base point by a scalar: scaled = scalar*base.
 * This function operates directly on serialized forms.
 *
 * @warning This function is experimental.  It may not be supported
 * long-term.
 *
 * @param [out] scaled The scaled point base*scalar
 * @param [in] base The point to be scaled.
 * @param [in] scalar The scalar to multiply by.
 * @param [in] allow_identity Allow the input to be the identity.
 * @param [in] short_circuit Allow a fast return if the input is illegal.
 *
 * @retval DECAF_SUCCESS The scalarmul succeeded.
 * @retval DECAF_FAILURE The scalarmul didn't succeed, because
 * base does not represent a point.
 */
decaf_error_t %(c_ns)s_direct_scalarmul (
    uint8_t scaled[%(C_NS)s_SER_BYTES],
    const uint8_t base[%(C_NS)s_SER_BYTES],
    const %(c_ns)s_scalar_t scalar,
    decaf_bool_t allow_identity,
    decaf_bool_t short_circuit
) API_VIS NONNULL3 WARN_UNUSED NOINLINE;

/**
 * @brief Precompute a table for fast scalar multiplication.
 * Some implementations do not include precomputed points; for
 * those implementations, this implementation simply copies the
 * point.
 *
 * @param [out] a A precomputed table of multiples of the point.
 * @param [in] b Any point.
 */
void %(c_ns)s_precompute (
    %(c_ns)s_precomputed_s *a,
    const %(c_ns)s_point_t b
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Multiply a precomputed base point by a scalar:
 * scaled = scalar*base.
 * Some implementations do not include precomputed points; for
 * those implementations, this function is the same as
 * %(c_ns)s_point_scalarmul
 *
 * @param [out] scaled The scaled point base*scalar
 * @param [in] base The point to be scaled.
 * @param [in] scalar The scalar to multiply by.
 */
void %(c_ns)s_precomputed_scalarmul (
    %(c_ns)s_point_t scaled,
    const %(c_ns)s_precomputed_s *base,
    const %(c_ns)s_scalar_t scalar
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Multiply two base points by two scalars:
 * scaled = scalar1*base1 + scalar2*base2.
 *
 * Equivalent to two calls to %(c_ns)s_point_scalarmul, but may be
 * faster.
 *
 * @param [out] combo The linear combination scalar1*base1 + scalar2*base2.
 * @param [in] base1 A first point to be scaled.
 * @param [in] scalar1 A first scalar to multiply by.
 * @param [in] base2 A second point to be scaled.
 * @param [in] scalar2 A second scalar to multiply by.
 */
void %(c_ns)s_point_double_scalarmul (
    %(c_ns)s_point_t combo,
    const %(c_ns)s_point_t base1,
    const %(c_ns)s_scalar_t scalar1,
    const %(c_ns)s_point_t base2,
    const %(c_ns)s_scalar_t scalar2
) API_VIS NONNULL5 NOINLINE;
    
/*
 * @brief Multiply one base point by two scalars:
 * a1 = scalar1 * base
 * a2 = scalar2 * base
 *
 * Equivalent to two calls to %(c_ns)s_point_scalarmul, but may be
 * faster.
 *
 * @param [out] a1 The first multiple
 * @param [out] a2 The second multiple
 * @param [in] base1 A point to be scaled.
 * @param [in] scalar1 A first scalar to multiply by.
 * @param [in] scalar2 A second scalar to multiply by.
 */
void %(c_ns)s_point_dual_scalarmul (
    %(c_ns)s_point_t a1,
    %(c_ns)s_point_t a2,
    const %(c_ns)s_point_t b,
    const %(c_ns)s_scalar_t scalar1,
    const %(c_ns)s_scalar_t scalar2
) API_VIS NONNULL5 NOINLINE;

/**
 * @brief Multiply two base points by two scalars:
 * scaled = scalar1*%(c_ns)s_point_base + scalar2*base2.
 *
 * Otherwise equivalent to %(c_ns)s_point_double_scalarmul, but may be
 * faster at the expense of being variable time.
 *
 * @param [out] combo The linear combination scalar1*base + scalar2*base2.
 * @param [in] scalar1 A first scalar to multiply by.
 * @param [in] base2 A second point to be scaled.
 * @param [in] scalar2 A second scalar to multiply by.
 *
 * @warning: This function takes variable time, and may leak the scalars
 * used.  It is designed for signature verification.
 */
void %(c_ns)s_base_double_scalarmul_non_secret (
    %(c_ns)s_point_t combo,
    const %(c_ns)s_scalar_t scalar1,
    const %(c_ns)s_point_t base2,
    const %(c_ns)s_scalar_t scalar2
) API_VIS NONNULL4 NOINLINE;

/**
 * @brief Constant-time decision between two points.  If pick_b
 * is zero, out = a; else out = b.
 *
 * @param [out] q The output.  It may be the same as either input.
 * @param [in] a Any point.
 * @param [in] b Any point.
 * @param [in] pick_b If nonzero, choose point b.
 */
void %(c_ns)s_point_cond_sel (
    %(c_ns)s_point_t out,
    const %(c_ns)s_point_t a,
    const %(c_ns)s_point_t b,
    decaf_word_t pick_b
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Constant-time decision between two scalars.  If pick_b
 * is zero, out = a; else out = b.
 *
 * @param [out] q The output.  It may be the same as either input.
 * @param [in] a Any scalar.
 * @param [in] b Any scalar.
 * @param [in] pick_b If nonzero, choose scalar b.
 */
void %(c_ns)s_scalar_cond_sel (
    %(c_ns)s_scalar_t out,
    const %(c_ns)s_scalar_t a,
    const %(c_ns)s_scalar_t b,
    decaf_word_t pick_b
) API_VIS NONNULL3 NOINLINE;

/**
 * @brief Test that a point is valid, for debugging purposes.
 *
 * @param [in] toTest The point to test.
 * @retval DECAF_TRUE The point is valid.
 * @retval DECAF_FALSE The point is invalid.
 */
decaf_bool_t %(c_ns)s_point_valid (
    const %(c_ns)s_point_t toTest
) API_VIS WARN_UNUSED NONNULL1 NOINLINE;

/**
 * @brief Torque a point, for debugging purposes.  The output
 * will be equal to the input.
 *
 * @param [out] q The point to torque.
 * @param [in] p The point to torque.
 */
void %(c_ns)s_point_debugging_torque (
    %(c_ns)s_point_t q,
    const %(c_ns)s_point_t p
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Projectively scale a point, for debugging purposes.
 * The output will be equal to the input, and will be valid
 * even if the factor is zero.
 *
 * @param [out] q The point to scale.
 * @param [in] p The point to scale.
 * @param [in] factor Serialized GF factor to scale.
 */
void %(c_ns)s_point_debugging_pscale (
    %(c_ns)s_point_t q,
    const %(c_ns)s_point_t p,
    const unsigned char factor[%(C_NS)s_SER_BYTES]
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Almost-Elligator-like hash to curve.
 *
 * Call this function with the output of a hash to make a hash to the curve.
 *
 * This function runs Elligator2 on the %(c_ns)s Jacobi quartic model.  It then
 * uses the isogeny to put the result in twisted Edwards form.  As a result,
 * it is safe (cannot produce points of order 4), and would be compatible with
 * hypothetical other implementations of Decaf using a Montgomery or untwisted
 * Edwards model.
 *
 * Unlike Elligator, this function may be up to 4:1 on [0,(p-1)/2]:
 *   A factor of 2 due to the isogeny.
 *   A factor of 2 because we quotient out the 2-torsion.
 *
 * This makes it about 8:1 overall, or 16:1 overall on curves with cofactor 8.
 *
 * Negating the input (mod q) results in the same point.  Inverting the input
 * (mod q) results in the negative point.  This is the same as Elligator.
 *
 * This function isn't quite indifferentiable from a random oracle.
 * However, it is suitable for many protocols, including SPEKE and SPAKE2 EE. 
 * Furthermore, calling it twice with independent seeds and adding the results
 * is indifferentiable from a random oracle.
 *
 * @param [in] hashed_data Output of some hash function.
 * @param [out] pt The data hashed to the curve.
 */
void
%(c_ns)s_point_from_hash_nonuniform (
    %(c_ns)s_point_t pt,
    const unsigned char hashed_data[%(C_NS)s_SER_BYTES]
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Indifferentiable hash function encoding to curve.
 *
 * Equivalent to calling %(c_ns)s_point_from_hash_nonuniform twice and adding.
 *
 * @param [in] hashed_data Output of some hash function.
 * @param [out] pt The data hashed to the curve.
 */ 
void %(c_ns)s_point_from_hash_uniform (
    %(c_ns)s_point_t pt,
    const unsigned char hashed_data[2*%(C_NS)s_SER_BYTES]
) API_VIS NONNULL2 NOINLINE;

/**
 * @brief Inverse of elligator-like hash to curve.
 *
 * This function writes to the buffer, to make it so that
 * %(c_ns)s_point_from_hash_nonuniform(buffer) = pt if
 * possible.  Since there may be multiple preimages, the
 * "which" parameter chooses between them.  To ensure uniform
 * inverse sampling, this function succeeds or fails
 * independently for different "which" values.
 *
 * @param [out] recovered_hash Encoded data.
 * @param [in] pt The point to encode.
 * @param [in] which A value determining which inverse point
 * to return.
 *
 * @retval DECAF_SUCCESS The inverse succeeded.
 * @retval DECAF_FAILURE The inverse failed.
 */
decaf_error_t
%(c_ns)s_invert_elligator_nonuniform (
    unsigned char recovered_hash[%(C_NS)s_SER_BYTES],
    const %(c_ns)s_point_t pt,
    uint16_t which
) API_VIS NONNULL2 NOINLINE WARN_UNUSED;

/**
 * @brief Inverse of elligator-like hash to curve.
 *
 * This function writes to the buffer, to make it so that
 * %(c_ns)s_point_from_hash_uniform(buffer) = pt if
 * possible.  Since there may be multiple preimages, the
 * "which" parameter chooses between them.  To ensure uniform
 * inverse sampling, this function succeeds or fails
 * independently for different "which" values.
 *
 * @param [out] recovered_hash Encoded data.
 * @param [in] pt The point to encode.
 * @param [in] which A value determining which inverse point
 * to return.
 *
 * @retval DECAF_SUCCESS The inverse succeeded.
 * @retval DECAF_FAILURE The inverse failed.
 */
decaf_error_t
%(c_ns)s_invert_elligator_uniform (
    unsigned char recovered_hash[2*%(C_NS)s_SER_BYTES],
    const %(c_ns)s_point_t pt,
    uint16_t which
) API_VIS NONNULL2 NOINLINE WARN_UNUSED;

/**
 * @brief Overwrite scalar with zeros.
 */
void %(c_ns)s_scalar_destroy (
    %(c_ns)s_scalar_t scalar
) NONNULL1 API_VIS;

/**
 * @brief Overwrite point with zeros.
 * @todo Use this internally.
 */
void %(c_ns)s_point_destroy (
    %(c_ns)s_point_t point
) NONNULL1 API_VIS;

/**
 * @brief Overwrite precomputed table with zeros.
 */
void %(c_ns)s_precomputed_destroy (
    %(c_ns)s_precomputed_s *pre
) NONNULL1 API_VIS;

#ifdef __cplusplus
} /* extern "C" */
#endif
"""
)