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id: fp48 title: FP48 sidebar_label: FP48

FP48

Kind: global class
this: {FP48}

• FP48
  • new FP48()
  • instance
    • .reduce()
    • .norm()
    • .iszilch()
    • .isunity()
    • .cmove(g, d)
    • .select()
    • .geta()
    • .getb()
    • .getc()
    • .equals(x)
    • .copy(x)
    • .one(x)
    • .zero()
    • .conj()
    • .set(d, e, f)
    • .seta(c)
    • .usqr()
    • .sqr()
    • .mul(y)
    • .smul(y)
    • .ssmul(y)
    • .inverse()
    • .frob(f)
    • .trace()
    • .toString()
    • .toBytes(w)
    • .pow(e)
    • .pinpow(e, bts)
    • .compow(e, r)
  • static
    • .fromBytes(w)
    • .teq()
    • .pow16()

new FP48()

Creates an instance of FP48.

fP48.reduce()

Reduces all components of possibly unreduced FP48 mod Modulus

Kind: instance method of FP48
this: {FP48}

fP48.norm()

Normalises the components of an FP48

Kind: instance method of FP48
this: {FP48}

fP48.iszilch()

Tests for FP48 equal to zero

Kind: instance method of FP48
this: {FP48}

fP48.isunity()

Tests for FP48 equal to unity

Kind: instance method of FP48
this: {FP48}

fP48.cmove(g, d)

Conditional copy of FP48 number

Kind: instance method of FP48
this: {FP48}

Param	Description
g	FP48 instance
d	copy depends on this value

fP48.select()

Constant time select from pre-computed table

Kind: instance method of FP48
this: {FP48}

fP48.geta()

extract a from this

Kind: instance method of FP48
this: {FP48}

fP48.getb()

extract b from this

Kind: instance method of FP48
this: {FP48}

fP48.getc()

extract c from this

Kind: instance method of FP48
this: {FP48}

fP48.equals(x)

Tests for equality of two FP48s

Kind: instance method of FP48
this: {FP48}

Param	Description
x	FP48 instance to compare

fP48.copy(x)

Copy FP48 to another FP48

Kind: instance method of FP48
this: {FP48}

Param	Description
x	FP48 instance to be copied

fP48.one(x)

Set FP48 to unity

Kind: instance method of FP48
this: {FP48}

Param	Description
x	FP48 instance to be set to one

fP48.zero()

Set FP48 to zero

Kind: instance method of FP48
this: {FP48}

fP48.conj()

Conjugation of FP48

Kind: instance method of FP48
this: {FP48}

fP48.set(d, e, f)

Set FP48 from three FP16 values

Kind: instance method of FP48
this: {FP48}

Param	Description
d	FP16 instance
e	FP16 instance
f	FP16 instance

fP48.seta(c)

Set FP48 from one FP16 value

Kind: instance method of FP48
this: {FP48}

Param	Description
c	FP16 instance

fP48.usqr()

Fast Squaring of an FP48 in “unitary” form

Kind: instance method of FP48
this: {FP48}

fP48.sqr()

Fast Squaring of an FP48

Kind: instance method of FP48
this: {FP48}

fP48.mul(y)

Full unconditional Multiplication of two FP48s

Kind: instance method of FP48
this: {FP48}

Param	Description
y	FP48 instance, the multiplier

fP48.smul(y)

Fast multiplication of two sparse FP48s that arises from ATE pairing line functions

Kind: instance method of FP48
this: {FP48}

Param	Description
y	FP48 instance, the multiplier

fP48.ssmul(y)

Fast multiplication of what may be sparse multiplicands

Kind: instance method of FP48
this: {FP48}

Param	Description
y	FP48 instance, the multiplier

fP48.inverse()

Inverting an FP48

Kind: instance method of FP48
this: {FP48}

fP48.frob(f)

Raises an FP48 to the power of the internal modulus p, using the Frobenius

Kind: instance method of FP48
this: {FP48}

Param	Description
f	Modulus

fP48.trace()

Calculate the trace of an FP48

Kind: instance method of FP48
this: {FP48}

fP48.toString()

convert this to hex string

Kind: instance method of FP48
this: {FP48}

fP48.toBytes(w)

convert this to byte array

Kind: instance method of FP48
this: {FP48}

Param	Description
w	Byte array

fP48.pow(e)

Raises an FP48 to the power of a BIG

Kind: instance method of FP48
this: {FP48}

Param	Description
e	BIG instance exponent

fP48.pinpow(e, bts)

Raises an FP48 instance x to a small integer power, side-channel resistant

Kind: instance method of FP48
this: {FP48}

Param	Description
e	small integer exponent
bts	maximum number of bits in exponent

fP48.compow(e, r)

Raises an FP48 instance to a BIG power, compressed to FP4

Kind: instance method of FP48
this: {FP48}

Param	Description
e	BIG exponent
r	BIG group order

FP48.fromBytes(w)

convert from byte array to FP48

Kind: static method of FP48
this: {FP48}

Param	Description
w	Byte array

FP48.teq()

return 1 if b==c, no branching

Kind: static method of FP48
this: {FP48}

FP48.pow16()

p=q0^u0.q1^u1.q2^u2.q3^u3...

Kind: static method of FP48
this: {FP48}