## FP24 **Kind**: global class **this**: {FP24} * [FP24](#FP24) * [new FP24()](#new_FP24_new) * _instance_ * [.reduce()](#FP24+reduce) * [.norm()](#FP24+norm) * [.iszilch()](#FP24+iszilch) * [.isunity()](#FP24+isunity) * [.cmove(g, d)](#FP24+cmove) * [.select()](#FP24+select) * [.geta()](#FP24+geta) * [.getb()](#FP24+getb) * [.getc()](#FP24+getc) * [.equals(x)](#FP24+equals) * [.copy(x)](#FP24+copy) * [.one(x)](#FP24+one) * [.zero()](#FP24+zero) * [.conj()](#FP24+conj) * [.set(d, e, f)](#FP24+set) * [.seta(c)](#FP24+seta) * [.usqr()](#FP24+usqr) * [.sqr()](#FP24+sqr) * [.mul(y)](#FP24+mul) * [.smul(y)](#FP24+smul) * [.ssmul(y)](#FP24+ssmul) * [.inverse()](#FP24+inverse) * [.frob(f)](#FP24+frob) * [.trace()](#FP24+trace) * [.toString()](#FP24+toString) * [.toBytes(w)](#FP24+toBytes) * [.pow(e)](#FP24+pow) * [.pinpow(e, bts)](#FP24+pinpow) * [.compow(e, r)](#FP24+compow) * _static_ * [.fromBytes(w)](#FP24.fromBytes) * [.teq()](#FP24.teq) * [.pow8()](#FP24.pow8) ### new FP24() Creates an instance of FP24. ### fP24.reduce() Reduces all components of possibly unreduced FP24 mod Modulus **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.norm() Normalises the components of an FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.iszilch() Tests for FP24 equal to zero **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.isunity() Tests for FP24 equal to unity **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.cmove(g, d) Conditional copy of FP24 number **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | g | FP24 instance | | d | copy depends on this value | ### fP24.select() Constant time select from pre-computed table **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.geta() extract a from this **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.getb() extract b from this **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.getc() extract c from this **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.equals(x) Tests for equality of two FP24s **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | x | FP24 instance to compare | ### fP24.copy(x) Copy FP24 to another FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | x | FP24 instance to be copied | ### fP24.one(x) Set FP24 to unity **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | x | FP24 instance to be set to one | ### fP24.zero() Set FP24 to zero **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.conj() Conjugation of FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.set(d, e, f) Set FP24 from three FP8 values **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | d | FP8 instance | | e | FP8 instance | | f | FP8 instance | ### fP24.seta(c) Set FP24 from one FP8 value **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | c | FP8 instance | ### fP24.usqr() Fast Squaring of an FP24 in "unitary" form **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.sqr() Fast Squaring of an FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.mul(y) Full unconditional Multiplication of two FP24s **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | y | FP24 instance, the multiplier | ### fP24.smul(y) Fast multiplication of two sparse FP24s that arises from ATE pairing line functions **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | y | FP24 instance, the multiplier | ### fP24.ssmul(y) Fast multiplication of what may be sparse multiplicands **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | y | FP24 instance, the multiplier | ### fP24.inverse() Inverting an FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.frob(f) Raises an FP24 to the power of the internal modulus p, using the Frobenius **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | f | Modulus | ### fP24.trace() Calculate the trace of an FP24 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.toString() convert this to hex string **Kind**: instance method of [FP24](#FP24) **this**: {FP24} ### fP24.toBytes(w) convert this to byte array **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | w | Byte array | ### fP24.pow(e) Raises an FP24 to the power of a BIG **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | e | BIG instance exponent | ### fP24.pinpow(e, bts) Raises an FP24 instance x to a small integer power, side-channel resistant **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | e | small integer exponent | | bts | maximum number of bits in exponent | ### fP24.compow(e, r) Raises an FP24 instance to a BIG power, compressed to FP4 **Kind**: instance method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | e | BIG exponent | | r | BIG group order | ### FP24.fromBytes(w) convert from byte array to FP24 **Kind**: static method of [FP24](#FP24) **this**: {FP24} | Param | Description | | --- | --- | | w | Byte array | ### FP24.teq() return 1 if b==c, no branching **Kind**: static method of [FP24](#FP24) **this**: {FP24} ### FP24.pow8() p=q0^u0.q1^u1.q2^u2.q3^u3... **Kind**: static method of [FP24](#FP24) **this**: {FP24}