## FP8 **Kind**: global class **this**: {FP4} * [FP8](#FP8) * [new FP8(c, d)](#new_FP8_new) * [.reduce()](#FP8+reduce) * [.norm()](#FP8+norm) * [.iszilch()](#FP8+iszilch) * [.isunity()](#FP8+isunity) * [.cmove(g, d)](#FP8+cmove) * [.isreal()](#FP8+isreal) * [.real()](#FP8+real) * [.geta()](#FP8+geta) * [.getb()](#FP8+getb) * [.equals(x)](#FP8+equals) * [.copy(x)](#FP8+copy) * [.zero()](#FP8+zero) * [.one(x)](#FP8+one) * [.set(c, d)](#FP8+set) * [.seta(c)](#FP8+seta) * [.neg()](#FP8+neg) * [.conj()](#FP8+conj) * [.nconj()](#FP8+nconj) * [.add(x)](#FP8+add) * [.sub(x)](#FP8+sub) * [.pmul(s)](#FP8+pmul) * [.imul(s)](#FP8+imul) * [.sqr()](#FP8+sqr) * [.mul(y)](#FP8+mul) * [.toString()](#FP8+toString) * [.inverse()](#FP8+inverse) * [.times_i()](#FP8+times_i) * [.times_i2()](#FP8+times_i2) * [.frob(f)](#FP8+frob) * [.pow(e)](#FP8+pow) * [.xtr_A(w, y, z)](#FP8+xtr_A) * [.xtr_D()](#FP8+xtr_D) * [.xtr_pow(n)](#FP8+xtr_pow) * [.xtr_pow2()](#FP8+xtr_pow2) * [.div2()](#FP8+div2) * [.div_i()](#FP8+div_i) * [.div_i2()](#FP8+div_i2) * [.div_2i()](#FP8+div_2i) * [.qmul(s)](#FP8+qmul) * [.tmul(s)](#FP8+tmul) * [.sqrt()](#FP8+sqrt) ### new FP8(c, d) Creates an instance of FP8 | Param | Description | | --- | --- | | c | FP8 / FP4 instance | | d | FP4 instance | ### fP8.reduce() Reduces all components of possibly unreduced FP8 mod Modulus **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.norm() Normalises the components of an FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.iszilch() Tests for FP8 equal to zero **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.isunity() Tests for FP8 equal to unity **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.cmove(g, d) Conditional copy of FP8 number **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | g | FP8 instance | | d | copy depends on this value | ### fP8.isreal() test is w real? That is in a+ib test b is zero **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.real() extract real part a **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.geta() extract a from this **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.getb() extract b from this **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.equals(x) Tests for equality of two FP8s **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | x | FP8 instance to compare | ### fP8.copy(x) Copy FP8 to another FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | x | FP8 instance to be copied | ### fP8.zero() Set FP8 to zero **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.one(x) Set FP8 to unity **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | x | FP8 instance to be set to one | ### fP8.set(c, d) Set FP8 from two FP4 values **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | c | FP4 instance | | d | FP4 instance | ### fP8.seta(c) Set FP8 from one FP4 value **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | c | FP4 instance | ### fP8.neg() Negation of FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.conj() Conjugation of FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.nconj() Negative conjugation of FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.add(x) addition of two FP8s **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | x | FP8 instance | ### fP8.sub(x) subtraction of two FP8s **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | x | FP8 instance | ### fP8.pmul(s) Multiplication of an FP8 by an FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | s | FP8 instance | ### fP8.imul(s) Multiplication of an FP8 by a small integer **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | s | integer | ### fP8.sqr() Fast Squaring of an FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.mul(y) Full unconditional Multiplication of two FP8s **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | y | FP8 instance, the multiplier | ### fP8.toString() convert to hex string **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.inverse() Inverting an FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.times\_i() multiplies an FP8 instance by irreducible polynomial sqrt(1+sqrt(-1)) **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.times\_i2() multiplies an FP8 instance by irreducible polynomial (1+sqrt(-1)) **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.frob(f) Raises an FP8 to the power of the internal modulus p, using the Frobenius **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | f | Modulus | ### fP8.pow(e) Raises an FP8 to the power of a BIG **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | e | BIG instance exponent | ### fP8.xtr\_A(w, y, z) Calculates the XTR addition function r=w*x-conj(x)*y+z **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | w | FP8 instance | | y | FP8 instance | | z | FP8 instance | ### fP8.xtr\_D() Calculates the XTR doubling function r=x^2-2*conj(x) **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.xtr\_pow(n) Calculates FP8 trace of an FP8 raised to the power of a BIG number **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | n | Big number | ### fP8.xtr\_pow2() Calculates FP8 trace of c^a.d^b, where c and d are derived from FP8 traces of FP8s **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.div2() Divide an FP8 by 2 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.div\_i() Divide FP8 number by QNR **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.div\_i2() Divide an FP8 by QNR twice **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.div\_2i() Divide an FP8 by QNR/2 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} ### fP8.qmul(s) Multiplication of an FP8 by an FP2 **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | s | FP2 multiplier | ### fP8.tmul(s) Multiplication of an FP8 by an FP **Kind**: instance method of [FP8](#FP8) **this**: {FP8} | Param | Description | | --- | --- | | s | FP multiplier | ### fP8.sqrt() Calculate square root of an FP8 **Kind**: instance method of [FP8](#FP8) **this**: {FP8}