## FP2 **Kind**: global class **this**: {FP2} * [FP2](#FP2) * [new FP2()](#new_FP2_new) * [.reduce()](#FP2+reduce) * [.norm()](#FP2+norm) * [.iszilch()](#FP2+iszilch) * [.isunity()](#FP2+isunity) * [.cmove(g, d)](#FP2+cmove) * [.equals(x)](#FP2+equals) * [.getA()](#FP2+getA) * [.getB()](#FP2+getB) * [.set(c, d)](#FP2+set) * [.seta(c)](#FP2+seta) * [.bset(c, d)](#FP2+bset) * [.bseta(c)](#FP2+bseta) * [.copy(x)](#FP2+copy) * [.zero()](#FP2+zero) * [.one(x)](#FP2+one) * [.neg(x)](#FP2+neg) * [.conj()](#FP2+conj) * [.add(x)](#FP2+add) * [.sub(x)](#FP2+sub) * [.pmul(s)](#FP2+pmul) * [.imul(s)](#FP2+imul) * [.sqr()](#FP2+sqr) * [.mul(y)](#FP2+mul) * [.sqrt()](#FP2+sqrt) ⇒ * [.toString()](#FP2+toString) * [.inverse()](#FP2+inverse) * [.div2()](#FP2+div2) * [.times_i()](#FP2+times_i) * [.mul_ip()](#FP2+mul_ip) * [.div_ip2()](#FP2+div_ip2) * [.div_ip()](#FP2+div_ip) * [.pow(e)](#FP2+pow) ### new FP2() Creates an instance of FP2. ### fP2.reduce() Reduces all components of possibly unreduced FP2 mod Modulus **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.norm() Normalises the components of an FP2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.iszilch() Tests for FP2 equal to zero **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.isunity() Tests for FP2 equal to unity **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.cmove(g, d) Conditional copy of FP2 number **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | g | FP2 instance | | d | copy depends on this value | ### fP2.equals(x) Tests for equality of two FP2 instances **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance to compare | ### fP2.getA() extract a from this **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.getB() extract b from this **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.set(c, d) Set FP2 from two FP values **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | c | FP instance | | d | FP instance | ### fP2.seta(c) Set FP2 from one FP value **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | c | FP instance | ### fP2.bset(c, d) Set FP2 from two BIG values **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | c | BIG instance | | d | BIG instance | ### fP2.bseta(c) Set FP2 from one BIG value **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | c | BIG instance | ### fP2.copy(x) Copy FP2 to another FP2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance to be copied | ### fP2.zero() Set FP2 to zero **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.one(x) Set FP2 to unity **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance to be set to one | ### fP2.neg(x) negate this **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance to be set to one | ### fP2.conj() Conjugation of FP2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.add(x) addition of two FP2s **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance | ### fP2.sub(x) subtraction of two FP2s **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | x | FP2 instance | ### fP2.pmul(s) Multiplication of an FP2 by an FP8 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | s | FP8 instance | ### fP2.imul(s) Multiplication of an FP2 by a small integer **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | s | integer | ### fP2.sqr() Fast Squaring of an FP2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.mul(y) Full unconditional Multiplication of two FP2s **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | y | FP2 instance, the multiplier | ### fP2.sqrt() ⇒ sqrt(a+ib) = sqrt(a+sqrt(a*a-n*b*b)/2)+ib/(2*sqrt(a+sqrt(a*a-n*b*b)/2)) **Kind**: instance method of [FP2](#FP2) **Returns**: true if this is QR **this**: {FP2} ### fP2.toString() convert this to hex string **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.inverse() Inverting an FP2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.div2() Divide an FP2 by 2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.times\_i() Multiply an FP2 by sqrt(-1) **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.mul\_ip() Multiply an FP2 by (1+sqrt(-1)) **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.div\_ip2() Divide an FP2 by (1+sqrt(-1))/2 **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.div\_ip() Divide an FP2 by (1+sqrt(-1)) **Kind**: instance method of [FP2](#FP2) **this**: {FP2} ### fP2.pow(e) Raises an FP2 to the power of a BIG **Kind**: instance method of [FP2](#FP2) **this**: {FP2} | Param | Description | | --- | --- | | e | BIG instance exponent |