| #ifndef FP24_YYY_H |
| #define FP24_YYY_H |
| |
| #include "fp8_YYY.h" |
| |
| /** |
| @brief FP12 Structure - towered over three FP8 |
| */ |
| |
| typedef struct |
| { |
| FP8_YYY a; /**< first part of FP12 */ |
| FP8_YYY b; /**< second part of FP12 */ |
| FP8_YYY c; /**< third part of FP12 */ |
| int type; |
| } FP24_YYY; |
| |
| extern const BIG_XXX Fra_YYY; /**< real part of BN curve Frobenius Constant */ |
| extern const BIG_XXX Frb_YYY; /**< imaginary part of BN curve Frobenius Constant */ |
| |
| /* FP24 prototypes */ |
| /** @brief Tests for FP24 equal to zero |
| * |
| @param x FP24 number to be tested |
| @return 1 if zero, else returns 0 |
| */ |
| extern int FP24_YYY_iszilch(FP24_YYY *x); |
| /** @brief Tests for FP24 equal to unity |
| * |
| @param x FP24 number to be tested |
| @return 1 if unity, else returns 0 |
| */ |
| extern int FP24_YYY_isunity(FP24_YYY *x); |
| /** @brief Copy FP24 to another FP24 |
| * |
| @param x FP24 instance, on exit = y |
| @param y FP24 instance to be copied |
| */ |
| extern void FP24_YYY_copy(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Set FP24 to unity |
| * |
| @param x FP24 instance to be set to one |
| */ |
| extern void FP24_YYY_one(FP24_YYY *x); |
| |
| /** @brief Set FP24 to zero |
| * |
| @param x FP24 instance to be set to zero |
| */ |
| extern void FP24_YYY_zero(FP24_YYY *x); |
| |
| /** @brief Tests for equality of two FP24s |
| * |
| @param x FP24 instance to be compared |
| @param y FP24 instance to be compared |
| @return 1 if x=y, else returns 0 |
| */ |
| extern int FP24_YYY_equals(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Conjugation of FP24 |
| * |
| If y=(a,b,c) (where a,b,c are its three FP8 components) on exit x=(conj(a),-conj(b),conj(c)) |
| @param x FP24 instance, on exit = conj(y) |
| @param y FP24 instance |
| */ |
| extern void FP24_YYY_conj(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Initialise FP24 from single FP8 |
| * |
| Sets first FP8 component of an FP24, other components set to zero |
| @param x FP24 instance to be initialised |
| @param a FP8 to form first part of FP8 |
| */ |
| extern void FP24_YYY_from_FP8(FP24_YYY *x,FP8_YYY *a); |
| /** @brief Initialise FP24 from three FP8s |
| * |
| @param x FP24 instance to be initialised |
| @param a FP8 to form first part of FP24 |
| @param b FP8 to form second part of FP24 |
| @param c FP8 to form third part of FP24 |
| */ |
| extern void FP24_YYY_from_FP8s(FP24_YYY *x,FP8_YYY *a,FP8_YYY* b,FP8_YYY *c); |
| /** @brief Fast Squaring of an FP24 in "unitary" form |
| * |
| @param x FP24 instance, on exit = y^2 |
| @param y FP8 instance, must be unitary |
| */ |
| extern void FP24_YYY_usqr(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Squaring an FP24 |
| * |
| @param x FP24 instance, on exit = y^2 |
| @param y FP24 instance |
| */ |
| extern void FP24_YYY_sqr(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Fast multiplication of two sparse FP24s that arises from ATE pairing line functions |
| * |
| @param x FP24 instance, on exit = x*y |
| @param y FP24 instance, of special form |
| */ |
| extern void FP24_YYY_smul(FP24_YYY *x,FP24_YYY *y); |
| |
| /** @brief Fast multiplication of what may be sparse multiplicands |
| * |
| @param x FP24 instance, on exit = x*y |
| @param y FP24 instance, of special form |
| */ |
| extern void FP24_YYY_ssmul(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Full unconditional Multiplication of two FP24s |
| * |
| @param x FP24 instance, on exit = x*y |
| @param y FP24 instance, the multiplier |
| */ |
| extern void FP24_YYY_mul(FP24_YYY *x,FP24_YYY *y); |
| |
| /** @brief Inverting an FP24 |
| * |
| @param x FP24 instance, on exit = 1/y |
| @param y FP24 instance |
| */ |
| extern void FP24_YYY_inv(FP24_YYY *x,FP24_YYY *y); |
| /** @brief Raises an FP24 to the power of a BIG |
| * |
| @param r FP24 instance, on exit = y^b |
| @param x FP24 instance |
| @param b BIG number |
| */ |
| extern void FP24_YYY_pow(FP24_YYY *r,FP24_YYY *x,BIG_XXX b); |
| |
| //extern void FP24_ppow(FP24 *r,FP24 *x,BIG b); |
| |
| /** @brief Raises an FP24 instance x to a small integer power, side-channel resistant |
| * |
| @param x FP24 instance, on exit = x^i |
| @param i small integer exponent |
| @param b maximum number of bits in exponent |
| */ |
| extern void FP24_YYY_pinpow(FP24_YYY *x,int i,int b); |
| |
| /** @brief Raises an FP24 instance x to a BIG power, compressed to FP8 |
| * |
| @param c FP8 instance, on exit = x^(e mod r) as FP8 |
| @param x FP24 input |
| @param e BIG exponent |
| @param r BIG group order |
| */ |
| extern void FP24_YYY_compow(FP8_YYY *c,FP24_YYY *x,BIG_XXX e,BIG_XXX r); |
| |
| /** @brief Calculate Pi x[i]^b[i] for i=0 to 7, side-channel resistant |
| * |
| @param r FP24 instance, on exit = Pi x[i]^b[i] for i=0 to 7 |
| @param x FP24 array with 4 FP24s |
| @param b BIG array of 4 exponents |
| */ |
| extern void FP24_YYY_pow8(FP24_YYY *r,FP24_YYY *x,BIG_XXX *b); |
| |
| |
| /** @brief Raises an FP24 to the power of the internal modulus p, using the Frobenius |
| * |
| @param x FP24 instance, on exit = x^p^n |
| @param f FP2 precalculated Frobenius constant |
| @param n power of p |
| */ |
| extern void FP24_YYY_frob(FP24_YYY *x,FP2_YYY *f,int n); |
| |
| /** @brief Reduces all components of possibly unreduced FP24 mod Modulus |
| * |
| @param x FP24 instance, on exit reduced mod Modulus |
| */ |
| extern void FP24_YYY_reduce(FP24_YYY *x); |
| /** @brief Normalises the components of an FP24 |
| * |
| @param x FP24 instance to be normalised |
| */ |
| extern void FP24_YYY_norm(FP24_YYY *x); |
| /** @brief Formats and outputs an FP24 to the console |
| * |
| @param x FP24 instance to be printed |
| */ |
| extern void FP24_YYY_output(FP24_YYY *x); |
| /** @brief Formats and outputs an FP24 instance to an octet string |
| * |
| Serializes the components of an FP24 to big-endian base 256 form. |
| @param S output octet string |
| @param x FP24 instance to be converted to an octet string |
| */ |
| extern void FP24_YYY_toOctet(octet *S,FP24_YYY *x); |
| /** @brief Creates an FP24 instance from an octet string |
| * |
| De-serializes the components of an FP24 to create an FP24 from big-endian base 256 components. |
| @param x FP24 instance to be created from an octet string |
| @param S input octet string |
| |
| */ |
| extern void FP24_YYY_fromOctet(FP24_YYY *x,octet *S); |
| /** @brief Calculate the trace of an FP24 |
| * |
| @param t FP8 trace of x, on exit = tr(x) |
| @param x FP24 instance |
| |
| */ |
| extern void FP24_YYY_trace(FP8_YYY *t,FP24_YYY *x); |
| |
| /** @brief Conditional copy of FP24_YYY number |
| * |
| Conditionally copies second parameter to the first (without branching) |
| @param x FP24_YYY instance, set to y if s!=0 |
| @param y another FP24_YYY instance |
| @param s copy only takes place if not equal to 0 |
| */ |
| extern void FP24_YYY_cmove(FP24_YYY *x,FP24_YYY *y,int s); |
| |
| #endif |