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e=d;e>=0;e-=c){u.fill(o);for(let t=0;t<a;t++){let i=r[t],a=Number(i>>BigInt(e)&l);u[a]=u[a].add(n[t])}let t=o;for(let e=u.length-1,n=o;e>0;e--)n=n.add(u[e]),t=t.add(n);if(f=f.add(t),e!==0)for(let e=0;e<c;e++)f=f.double()}return f}function cn(e,t,n){if(t){if(t.ORDER!==e)throw Error(`Field.ORDER must match order: Fp == p, Fn == n`);return Lt(t),t}else return Ht(e,{isLE:n})}function ln(e,t,n={},r){if(r===void 0&&(r=e===`edwards`),!t||typeof t!=`object`)throw Error(`expected valid ${e} CURVE object`);for(let e of[`p`,`n`,`h`]){let n=t[e];if(!(typeof n==`bigint`&&n>Kt))throw Error(`CURVE.${e} must be positive bigint`)}let i=cn(t.p,n.Fp,r),a=cn(t.n,n.Fn,r),o=[`Gx`,`Gy`,`a`,e===`weierstrass`?`b`:`d`];for(let e of o)if(!i.isValid(t[e]))throw Error(`CURVE.${e} must be valid field element of CURVE.Fp`);return t=Object.freeze(Object.assign({},t)),{CURVE:t,Fp:i,Fn:a}}var un=(e,t)=>(e+(e>=0?t:-t)/gn)/t;function dn(e,t,n){let[[r,i],[a,o]]=t,s=un(o*e,n),c=un(-i*e,n),l=e-s*r-c*a,u=-s*i-c*o,d=l<L,f=u<L;d&&(l=-l),f&&(u=-u);let p=Le(Math.ceil(Pe(n)/2))+hn;if(l<L||l>=p||u<L||u>=p)throw Error(`splitScalar (endomorphism): failed, k=`+e);return{k1neg:d,k1:l,k2neg:f,k2:u}}function fn(e){if(![`compact`,`recovered`,`der`].includes(e))throw Error(`Signature format must be "compact", "recovered", or "der"`);return e}function pn(e,t){let n={};for(let r of Object.keys(t))n[r]=e[r]===void 0?t[r]:e[r];return ye(n.lowS,`lowS`),ye(n.prehash,`prehash`),n.format!==void 0&&fn(n.format),n}var mn=class extends Error{constructor(e=``){super(e)}};const I={Err:mn,_tlv:{encode:(e,t)=>{let{Err:n}=I;if(e<0||e>256)throw new n(`tlv.encode: wrong tag`);if(t.length&1)throw new n(`tlv.encode: unpadded data`);let r=t.length/2,i=xe(r);if(i.length/2&128)throw new n(`tlv.encode: long form length too big`);let a=r>127?xe(i.length/2|128):``;return xe(e)+a+i+t},decode(e,t){let{Err:n}=I,r=0;if(e<0||e>256)throw new n(`tlv.encode: wrong 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n=ln(`weierstrass`,e,t),{Fp:r,Fn:i}=n,a=n.CURVE,{h:o,n:s}=a;He(t,{},{allowInfinityPoint:`boolean`,clearCofactor:`function`,isTorsionFree:`function`,fromBytes:`function`,toBytes:`function`,endo:`object`,wrapPrivateKey:`boolean`});let{endo:c}=t;if(c&&(!r.is0(a.a)||typeof c.beta!=`bigint`||!Array.isArray(c.basises)))throw Error(`invalid endo: expected "beta": bigint and "basises": array`);let l=Sn(r,i);function u(){if(!r.isOdd)throw Error(`compression is not supported: Field does not have .isOdd()`)}function d(e,t,n){let{x:i,y:a}=t.toAffine(),o=r.toBytes(i);return ye(n,`isCompressed`),n?(u(),E(xn(!r.isOdd(a)),o)):E(Uint8Array.of(4),o,r.toBytes(a))}function f(e){be(e,void 0,`Point`);let{publicKey:t,publicKeyUncompressed:n}=l,i=e.length,a=e[0],o=e.subarray(1);if(i===t&&(a===2||a===3)){let e=r.fromBytes(o);if(!r.isValid(e))throw Error(`bad point: is not on curve, wrong x`);let t=h(e),n;try{n=r.sqrt(t)}catch(e){let t=e instanceof Error?`: `+e.message:``;throw Error(`bad point: is not on 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ne=We((e,t)=>{let{X:n,Y:i,Z:a}=e;if(r.eql(a,r.ONE))return{x:n,y:i};let o=e.is0();t??=o?r.ONE:r.inv(a);let s=r.mul(n,t),c=r.mul(i,t),l=r.mul(a,t);if(o)return{x:r.ZERO,y:r.ZERO};if(!r.eql(l,r.ONE))throw Error(`invZ was invalid`);return{x:s,y:c}}),re=We(e=>{if(e.is0()){if(t.allowInfinityPoint&&!r.is0(e.Y))return;throw Error(`bad point: ZERO`)}let{x:n,y:i}=e.toAffine();if(!r.isValid(n)||!r.isValid(i))throw Error(`bad point: x or y not field elements`);if(!g(n,i))throw Error(`bad point: equation left != right`);if(!e.isTorsionFree())throw Error(`bad point: not in prime-order subgroup`);return!0});function b(e,t,n,i,a){return n=new x(r.mul(n.X,e),n.Y,n.Z),t=qt(i,t),n=qt(a,n),t.add(n)}class x{constructor(e,t,n){this.X=y(`x`,e),this.Y=y(`y`,t,!0),this.Z=y(`z`,n),Object.freeze(this)}static CURVE(){return a}static fromAffine(e){let{x:t,y:n}=e||{};if(!e||!r.isValid(t)||!r.isValid(n))throw Error(`invalid affine point`);if(e instanceof x)throw Error(`projective point not allowed`);return r.is0(t)&&r.is0(n)?x.ZERO:new x(t,n,r.ONE)}static fromBytes(e){let t=x.fromAffine(m(be(e,void 0,`point`)));return t.assertValidity(),t}static fromHex(e){return x.fromBytes(D(`pointHex`,e))}get x(){return this.toAffine().x}get y(){return this.toAffine().y}precompute(e=8,t=!0){return C.createCache(this,e),t||this.multiply(_n),this}assertValidity(){re(this)}hasEvenY(){let{y:e}=this.toAffine();if(!r.isOdd)throw Error(`Field doesn't support isOdd`);return!r.isOdd(e)}equals(e){ee(e);let{X:t,Y:n,Z:i}=this,{X:a,Y:o,Z:s}=e,c=r.eql(r.mul(t,s),r.mul(a,i)),l=r.eql(r.mul(n,s),r.mul(o,i));return c&&l}negate(){return new x(this.X,r.neg(this.Y),this.Z)}double(){let{a:e,b:t}=a,n=r.mul(t,_n),{X:i,Y:o,Z:s}=this,c=r.ZERO,l=r.ZERO,u=r.ZERO,d=r.mul(i,i),f=r.mul(o,o),p=r.mul(s,s),m=r.mul(i,o);return 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