| #ifndef ECP2_ZZZ_H |
| #define ECP2_ZZZ_H |
| |
| #include "fp2_YYY.h" |
| #include "config_curve_ZZZ.h" |
| |
| using namespace amcl; |
| |
| |
| namespace YYY { |
| |
| extern const XXX::BIG Fra; /**< real part of BN curve Frobenius Constant */ |
| extern const XXX::BIG Frb; /**< imaginary part of BN curve Frobenius Constant */ |
| |
| } |
| |
| namespace ZZZ { |
| |
| /** |
| @brief ECP2 Structure - Elliptic Curve Point over quadratic extension field |
| */ |
| |
| typedef struct |
| { |
| // int inf; /**< Infinity Flag */ |
| YYY::FP2 x; /**< x-coordinate of point */ |
| YYY::FP2 y; /**< y-coordinate of point */ |
| YYY::FP2 z; /**< z-coordinate of point */ |
| } ECP2; |
| |
| |
| /* Curve Params - see rom.c */ |
| extern const int CURVE_A; /**< Elliptic curve A parameter */ |
| extern const int CURVE_B_I; /**< Elliptic curve B parameter */ |
| extern const XXX::BIG CURVE_B; /**< Elliptic curve B parameter */ |
| extern const XXX::BIG CURVE_Order; /**< Elliptic curve group order */ |
| extern const XXX::BIG CURVE_Cof; /**< Elliptic curve cofactor */ |
| extern const XXX::BIG CURVE_Bnx; /**< Elliptic curve parameter */ |
| |
| |
| /* Generator point on G1 */ |
| extern const XXX::BIG CURVE_Gx; /**< x-coordinate of generator point in group G1 */ |
| extern const XXX::BIG CURVE_Gy; /**< y-coordinate of generator point in group G1 */ |
| |
| /* For Pairings only */ |
| |
| /* Generator point on G2 */ |
| extern const XXX::BIG CURVE_Pxa; /**< real part of x-coordinate of generator point in group G2 */ |
| extern const XXX::BIG CURVE_Pxb; /**< imaginary part of x-coordinate of generator point in group G2 */ |
| extern const XXX::BIG CURVE_Pya; /**< real part of y-coordinate of generator point in group G2 */ |
| extern const XXX::BIG CURVE_Pyb; /**< imaginary part of y-coordinate of generator point in group G2 */ |
| |
| /* ECP2 E(Fp2) prototypes */ |
| /** @brief Tests for ECP2 point equal to infinity |
| * |
| @param P ECP2 point to be tested |
| @return 1 if infinity, else returns 0 |
| */ |
| extern int ECP2_isinf(ECP2 *P); |
| /** @brief Copy ECP2 point to another ECP2 point |
| * |
| @param P ECP2 instance, on exit = Q |
| @param Q ECP2 instance to be copied |
| */ |
| extern void ECP2_copy(ECP2 *P,ECP2 *Q); |
| /** @brief Set ECP2 to point-at-infinity |
| * |
| @param P ECP2 instance to be set to infinity |
| */ |
| extern void ECP2_inf(ECP2 *P); |
| /** @brief Tests for equality of two ECP2s |
| * |
| @param P ECP2 instance to be compared |
| @param Q ECP2 instance to be compared |
| @return 1 if P=Q, else returns 0 |
| */ |
| extern int ECP2_equals(ECP2 *P,ECP2 *Q); |
| /** @brief Converts an ECP2 point from Projective (x,y,z) coordinates to affine (x,y) coordinates |
| * |
| @param P ECP2 instance to be converted to affine form |
| */ |
| extern void ECP2_affine(ECP2 *P); |
| /** @brief Extract x and y coordinates of an ECP2 point P |
| * |
| If x=y, returns only x |
| @param x FP2 on exit = x coordinate of point |
| @param y FP2 on exit = y coordinate of point (unless x=y) |
| @param P ECP2 instance (x,y) |
| @return -1 if P is point-at-infinity, else 0 |
| */ |
| extern int ECP2_get(YYY::FP2 *x,YYY::FP2 *y,ECP2 *P); |
| /** @brief Formats and outputs an ECP2 point to the console, converted to affine coordinates |
| * |
| @param P ECP2 instance to be printed |
| */ |
| extern void ECP2_output(ECP2 *P); |
| /** @brief Formats and outputs an ECP2 point to the console, in projective coordinates |
| * |
| @param P ECP2 instance to be printed |
| */ |
| extern void ECP2_outputxyz(ECP2 *P); |
| /** @brief Formats and outputs an ECP2 point to an octet string |
| * |
| The octet string is created in the form x|y. |
| Convert the real and imaginary parts of the x and y coordinates to big-endian base 256 form. |
| @param S output octet string |
| @param P ECP2 instance to be converted to an octet string |
| */ |
| extern void ECP2_toOctet(octet *S,ECP2 *P); |
| /** @brief Creates an ECP2 point from an octet string |
| * |
| The octet string is in the form x|y |
| The real and imaginary parts of the x and y coordinates are in big-endian base 256 form. |
| @param P ECP2 instance to be created from the octet string |
| @param S input octet string |
| return 1 if octet string corresponds to a point on the curve, else 0 |
| */ |
| extern int ECP2_fromOctet(ECP2 *P,octet *S); |
| /** @brief Calculate Right Hand Side of curve equation y^2=f(x) |
| * |
| Function f(x)=x^3+Ax+B |
| Used internally. |
| @param r FP2 value of f(x) |
| @param x FP2 instance |
| */ |
| extern void ECP2_rhs(YYY::FP2 *r,YYY::FP2 *x); |
| /** @brief Set ECP2 to point(x,y) given x and y |
| * |
| Point P set to infinity if no such point on the curve. |
| @param P ECP2 instance to be set (x,y) |
| @param x FP2 x coordinate of point |
| @param y FP2 y coordinate of point |
| @return 1 if point exists, else 0 |
| */ |
| extern int ECP2_set(ECP2 *P,YYY::FP2 *x,YYY::FP2 *y); |
| /** @brief Set ECP to point(x,[y]) given x |
| * |
| Point P set to infinity if no such point on the curve. Otherwise y coordinate is calculated from x. |
| @param P ECP instance to be set (x,[y]) |
| @param x BIG x coordinate of point |
| @return 1 if point exists, else 0 |
| */ |
| extern int ECP2_setx(ECP2 *P,YYY::FP2 *x); |
| /** @brief Negation of an ECP2 point |
| * |
| @param P ECP2 instance, on exit = -P |
| */ |
| extern void ECP2_neg(ECP2 *P); |
| /** @brief Doubles an ECP2 instance P |
| * |
| @param P ECP2 instance, on exit =2*P |
| */ |
| extern int ECP2_dbl(ECP2 *P); |
| /** @brief Adds ECP2 instance Q to ECP2 instance P |
| * |
| @param P ECP2 instance, on exit =P+Q |
| @param Q ECP2 instance to be added to P |
| */ |
| extern int ECP2_add(ECP2 *P,ECP2 *Q); |
| /** @brief Subtracts ECP instance Q from ECP2 instance P |
| * |
| @param P ECP2 instance, on exit =P-Q |
| @param Q ECP2 instance to be subtracted from P |
| */ |
| extern void ECP2_sub(ECP2 *P,ECP2 *Q); |
| /** @brief Multiplies an ECP2 instance P by a BIG, side-channel resistant |
| * |
| Uses fixed sized windows. |
| @param P ECP2 instance, on exit =b*P |
| @param b BIG number multiplier |
| |
| */ |
| extern void ECP2_mul(ECP2 *P,XXX::BIG b); |
| /** @brief Multiplies an ECP2 instance P by the internal modulus p, using precalculated Frobenius constant f |
| * |
| Fast point multiplication using Frobenius |
| @param P ECP2 instance, on exit = p*P |
| @param f FP2 precalculated Frobenius constant |
| |
| */ |
| extern void ECP2_frob(ECP2 *P,YYY::FP2 *f); |
| /** @brief Calculates P=b[0]*Q[0]+b[1]*Q[1]+b[2]*Q[2]+b[3]*Q[3] |
| * |
| @param P ECP2 instance, on exit = b[0]*Q[0]+b[1]*Q[1]+b[2]*Q[2]+b[3]*Q[3] |
| @param Q ECP2 array of 4 points |
| @param b BIG array of 4 multipliers |
| */ |
| extern void ECP2_mul4(ECP2 *P,ECP2 *Q,XXX::BIG *b); |
| |
| /** @brief Maps random BIG to curve point of correct order |
| * |
| @param P ECP2 instance of correct order |
| @param W OCTET byte array to be mapped |
| */ |
| extern void ECP2_mapit(ECP2 *P,octet *w); |
| /** @brief Get Group Generator from ROM |
| * |
| @param G ECP2 instance |
| */ |
| extern void ECP2_generator(ECP2 *G); |
| } |
| |
| #endif |