GIF89a=( õ' 7IAXKgNgYvYx\%wh…hŽth%ˆs%—x¨}9®Œ©€&©‰%¶†(¹–.¹5·œD¹&Çš)ÇŸ5ǘ;Í£*È¡&Õ²)ׯ7×µ<Ñ»4ï°3ø‘HÖ§KͯT÷¨Yÿšqÿ»qÿÔFØ !ù ' !ÿ NETSCAPE2.0 , =( þÀ“pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§gª«ªE¯°¨¬ª±²Œ¹º¹E¾­”´ÂB¶¯ §Åȸ»ÑD¾¿Á•ÄÅ®° ÝH¾ÒLÀÆDÙ«D¶BÝïðÀ¾DÑÑÔTÌÍíH òGö¨A RÎڐ |¥ ٭&ºìE8œ¹kGÔAÞpx­a¶­ã R2XB®åE8I€Õ6Xî:vT)äžþÀq¦è³¥ì仕F~%xñ  4#ZÔ‰O|-4Bs‘X:= QÉ œš lºÒyXJŠGȦ|s hÏíK–3l7·B|¥$'7Jީܪ‰‡àá”Dæn=Pƒ ¤Òëí‰`䌨ljóá¯Éüv>á–Á¼5 ½.69ûϸd«­ºÀûnlv©‹ªîf{¬ÜãPbŸ  l5‘Ž¯pß ´ ˜3aÅùäI«O’ý·‘áÞ‡˜¾Æ‚ÙÏiÇÿ‹Àƒ #öó)pâš Þ½ ‘Ý{ó)vmÞü%D~ 6f s}ŃƒDØW Eþ`‡þ À…L8xá†ç˜{)x`X/> Ì}mø‚–RØ‘*|`D=‚Ø_ ^ð5 !_…'aä“OÚ—7âcð`D”Cx`ÝÂ¥ä‹éY¹—F¼¤¥Š?¡Õ™ n@`} lď’ÄÉ@4>ñd œ à‘vÒxNÃ×™@žd=ˆgsžG±æ ´²æud &p8Qñ)ˆ«lXD©øÜéAžHìySun jª×k*D¤LH] †¦§C™Jä–´Xb~ʪwStŽ6K,°£qÁœ:9ت:¨þªl¨@¡`‚ûÚ ».Û¬¯t‹ÆSÉ[:°=Š‹„‘Nåû”Ìî{¿ÂA ‡Rà›ÀÙ6úë°Ÿð0Ä_ ½;ÃϱîÉì^ÇÛÇ#Ëë¼ôº!±Ä˜íUîÅÇ;0L1óÁµö«p% AÀºU̬ݵ¼á%霼€‡¯Á~`ÏG¯»À× ­²± =4ªnpð3¾¤³¯­ü¾¦îuÙuµÙ®|%2ÊIÿür¦#0·ÔJ``8È@S@5ê¢ ö×Þ^`8EÜ]ý.뜃Âç 7 ú ȉÞj œ½Dç zý¸iþœÑÙûÄë!ˆÞÀl§Ïw‹*DçI€nEX¯¬¼ &A¬Go¼QföõFç°¯;é¦÷îŽêJ°îúôF5¡ÌQ|îúöXªæ»TÁÏyñêï]ê² o óÎC=öõ›ÒÓPB@ D×½œä(>èCÂxŽ`±«Ÿ–JЀ»Û á¤±p+eE0`ëŽ`A Ú/NE€Ø†À9‚@¤à H½7”à‡%B‰`Àl*ƒó‘–‡8 2ñ%¸ —€:Ù1Á‰E¸àux%nP1ð!‘ðC)¾P81lÑɸF#ˆ€{´âé°ÈB„0>±û °b¡Š´±O‚3È–Ù()yRpbµ¨E.Z‘D8ÊH@% òŒx+%Ù˜Æcü »¸˜fõ¬b·d`Fê™8èXH"ÉÈ-±|1Ô6iI, 2““¬$+](A*jÐ QTÂo‰.ÛU슬Œã„Ž`¯SN¡–¶Äåyše¯ª’­¬‚´b¦Éož œ)åyâ@Ì®3 ÎtT̉°&Ø+žLÀf"Ø-|žçÔ>‡Ðv¦Ðžì\‚ Q1)Ž@Žh#aP72”ˆ™¨$‚ !ù " , =( …7IAXG]KgNgYvYxR"k\%w]'}hŽth%ˆg+ˆs%—r.—m3šx3˜x¨}9®€&©€+¨‡7§‰%¶†(¹–.¹œD¹&ǘ;Í•&ײ)×»4ïÌ6ò§KÍ þ@‘pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g «¬ E ±± ¨­¶°ººE Á´”·®C¬²§Ç¶Œ»ÓDÃÕƷ¯Ê±H½ºM×ÁGÚ¬D¶BËÁ½î½DÓôTÏÛßîG»ôõC×CÌ l&âž:'òtU³6ɹ#·Ø)€'Ü.6±&ëÍÈ» K(8p0N?!æ2"ÛˆNIJX>R¼ÐO‚M '¡¨2¸*Ÿþ>#n↠å@‚<[:¡Iïf’ ¤TÚ˘CdbÜÙ“[«ŽEú5MBo¤×@€`@„€Êt W-3 ¶Ÿ¡BíêäjIÝ…Eò9[T…$íêﯧ„…•s»Óȳ¹€ÅÚdc®UUρ#±Ùïldj?´í¼²`\ŽÁðÞu|3'ÖŒ]ë6 ¶S#²‡˜FKLÈ *N E´‘áäŠ$˜›eÄYD„ºq«.è촁ƒs \-ÔjA 9²õ÷å- üúM[Âx(ís÷ì®x€|í¡Ù’p¦‚ ŽkÛTÇDpE@WÜ ²Ç]kŠ1¨ þ€·Yb ÓÁ‰l°*n0 ç™—žzBdОu¾7ĉBl€â‰-ºx~|UåU‰  h*Hœ|e"#"?vpÄiŠe6^ˆ„+qâŠm8 #VÇá ‘å–ÄV„œ|Šè•m"сœn|@›U¶ÆΞ—Špb¥G¨ED”€±Úê2FÌIç? >Éxå Œ± ¡¤„%‘žjŸ‘ꄯ<Ìaà9ijÐ2˜D¦È&›†Z`‚å]wþ¼Â:ç6àB¤7eFJ|õÒ§Õ,¨äàFÇ®cS·Ê¶+B°,‘Þ˜ºNûãØ>PADÌHD¹æž«ÄÀnÌ¥}­#Ë’ë QÀÉSÌÂÇ2ÌXÀ{æk²lQÁ2«ÊðÀ¯w|2Í h‹ÄÂG€,m¾¶ë3ÐÙ6-´ÅE¬L°ÆIij*K½ÀÇqï`DwVÍQXœÚÔpeœ±¬Ñ q˜§Tœ½µƒ°Œìu Â<¶aØ*At¯lmEØ ü ôÛN[P1ÔÛ¦­±$ÜÆ@`ùåDpy¶yXvCAyåB`ŽD¶ 0QwG#¯ æš[^Äþ $ÀÓÝǦ{„L™[±úKÄgÌ;ï£S~¹ìGX.ôgoT.»åˆ°ùŸûù¡?1zö¦Ÿž:ÅgÁ|ìL¹ „®£œŠ‚à0œ]PÁ^p F<"•ç?!,ñ‡N4—…PÄ Á„ö¨Û:Tè@hÀ‹%táÿ:ø-žI<`þ‹p I….)^ 40D#p@ƒj4–؀:²‰1Øâr˜¼F2oW¼#Z†;$Q q” ‘ ÂK¦ñNl#29 !’F@¥Bh·ᏀL!—XFóLH‘Kh¤.«hE&JòG¨¥<™WN!€ÑÙÚˆY„@†>Œž19J" 2,/ &.GXB%ÌRÈ9B6¹W]’î×ÔW¥’IÎ$ ñ‹ÓŒE8YÆ ¼³™ñA5“à®Q.aŸB€&Ø©³ JÁ—! ¦t)K%tœ-¦JF bòNMxLôþ)ÐR¸Ð™‘ èÝ6‘O!THÌ„HÛ ‰ !ù ) , =( …AXKgNgYvYxR"k\%wh…hŽh%ˆg+ˆs%—r.—x3˜x¨}9®€&©€+¨Œ,©‡7§‰%¶†(¹–.¹5·&Çš)ǘ;Í•&×£*Ȳ)ׯ7×»4ï°3øÌ6ò‘HÖ§KÍ»Hó¯T÷¨Yÿ»qÿÇhÿ þÀ”pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g ª« E$±²¨ª­ · °²½$E$ÂÕ««D· Í ¿¦Ç¶¸ÌŒ¾³CÃÅÆ E ééH½MÛÂGâªD­ çBêêϾD²ÒaÀà€Š1r­ðÓ¤ ÔožzU!L˜C'¾yW½UGtäÇïÙllê0×àÂuGþ)AÀs[þ·xì ÁxO%ƒûX2ó—  P£n›R/¡ÑšHše+êDm?# —‘Ç£6¡8íJ¡ŸâDiäªM¥Ö„ôj“¬¹£5oQ7°- <‡ *´lãÓŒ2r/a!l)dÈ A™ÈE¢ôÔ͆…ð ;Ö˜c ¡%ß‚’Ùˆâ¸b½—pe~C"BíëÚHïeF2§æŠ8qb t_`urŠeü wÅu3êæPv§h•"ß`íÍxçLĹÜÖ3á  ~Öº“®›¸ÏMDfJÙ °„ÛµáWõ%§œ‚à©–‚X Ó؁)@®Ñ›Eþ´wëuÅSxb8y\mÖzœ¥§ZbºE—ÂLªÌw!y(>¡™wú=Ç|ÅÝs¢d €CÁW)HÜcC$€L Ä7„r.á\{)@ð` @ äXÈ$PD” `šaG:§æˆOˆ72EÐamn]ù"ŒcÊxÑŒ° &dR8`g«iÙŸLR!¦P …d’ä¡“¦ðÎTƒ¦ià|À _ ¥ Qi#¦Šg›Æ ›noMµ ›V ã£)p ç£ÎW…š=Âeªk§†j„ ´®1ß²sÉxéW«jšl|0¯B0Û, \jÛ´›6±¬¶C ÛíWþï|ëÙ‹¸ñzĸV {ì;Ýñn¼òVˆm³I¼³.Ðã¤PN¥ ²µ¼„µCã+¹ÍByî£Ñ¾HŸ›ëê 7ìYÆFTk¨SaoaY$Dµœìï¿Ã29RÈkt Çïfñ ÇÒ:ÀÐSp¹3ÇI¨â¥DZÄ ü9Ïýögñ½­uÔ*3)O‘˜Ö[_hv ,àî×Et Ÿé¶BH€ Õ[ü±64M@ÔSÌM7dÐl5-ÄÙU܍´©zߌ3Ô€3ž„ „ ¶ÛPô½5×g› êÚ˜kN„Ý…0Îj4€Ìë°“#{þÕ3S2çKÜ'ợlø¼Ú2K{° {Û¶?žm𸧠ËI¼nEò='êüóºè^üæÃ_Û=°óž‚ì#Oý¿Í'¡½áo..ÏYìnüñCœO±Áa¿¢Kô½o,üÄËbö²çºíï{ËC Ú— "”Ï{ËK ÍÒw„õ±Oz dÕ¨à:$ ƒô—«v»] A#ð «€¿šéz)Rx׿ˆ¥‚d``èw-îyÏf×K!ð€þ­Ð|ìPľ„=Ì`ý(f” 'Pa ¥ÐBJa%Ðâf§„%Š¡}FàáÝ×6>ÉäŠG"éŽè=ø!oŠ°^FP¼Ø©Q„ÀCÙÁ`(Ž\ÄÝ® ©Â$<n@dÄ E#ììUÒI! ‚#lù‹`k¦ÐÇ'Rró’ZýNBÈMF Í[¤+‹ðɈ-áwj¨¥þ8¾rá ,VÂh„"|½œ=×G_¦Ñ™EØ 0i*%̲˜Æda0mV‚k¾)›;„&6 p>ÓjK “¦Ç# âDÂ:ûc?:R Ó¬fÞéI-Ì“•Ã<ä=™Ï7˜3œ¨˜c2ŒW ,ˆ”8(T™P‰F¡Jhç"‚ ; 403WebShell
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Current File : /usr/lib/node_modules/npm/node_modules/ecc-jsbn/lib/ec.js
// Basic Javascript Elliptic Curve implementation
// Ported loosely from BouncyCastle's Java EC code
// Only Fp curves implemented for now

// Requires jsbn.js and jsbn2.js
var BigInteger = require('jsbn').BigInteger
var Barrett = BigInteger.prototype.Barrett

// ----------------
// ECFieldElementFp

// constructor
function ECFieldElementFp(q,x) {
    this.x = x;
    // TODO if(x.compareTo(q) >= 0) error
    this.q = q;
}

function feFpEquals(other) {
    if(other == this) return true;
    return (this.q.equals(other.q) && this.x.equals(other.x));
}

function feFpToBigInteger() {
    return this.x;
}

function feFpNegate() {
    return new ECFieldElementFp(this.q, this.x.negate().mod(this.q));
}

function feFpAdd(b) {
    return new ECFieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q));
}

function feFpSubtract(b) {
    return new ECFieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q));
}

function feFpMultiply(b) {
    return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q));
}

function feFpSquare() {
    return new ECFieldElementFp(this.q, this.x.square().mod(this.q));
}

function feFpDivide(b) {
    return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q));
}

ECFieldElementFp.prototype.equals = feFpEquals;
ECFieldElementFp.prototype.toBigInteger = feFpToBigInteger;
ECFieldElementFp.prototype.negate = feFpNegate;
ECFieldElementFp.prototype.add = feFpAdd;
ECFieldElementFp.prototype.subtract = feFpSubtract;
ECFieldElementFp.prototype.multiply = feFpMultiply;
ECFieldElementFp.prototype.square = feFpSquare;
ECFieldElementFp.prototype.divide = feFpDivide;

// ----------------
// ECPointFp

// constructor
function ECPointFp(curve,x,y,z) {
    this.curve = curve;
    this.x = x;
    this.y = y;
    // Projective coordinates: either zinv == null or z * zinv == 1
    // z and zinv are just BigIntegers, not fieldElements
    if(z == null) {
      this.z = BigInteger.ONE;
    }
    else {
      this.z = z;
    }
    this.zinv = null;
    //TODO: compression flag
}

function pointFpGetX() {
    if(this.zinv == null) {
      this.zinv = this.z.modInverse(this.curve.q);
    }
    var r = this.x.toBigInteger().multiply(this.zinv);
    this.curve.reduce(r);
    return this.curve.fromBigInteger(r);
}

function pointFpGetY() {
    if(this.zinv == null) {
      this.zinv = this.z.modInverse(this.curve.q);
    }
    var r = this.y.toBigInteger().multiply(this.zinv);
    this.curve.reduce(r);
    return this.curve.fromBigInteger(r);
}

function pointFpEquals(other) {
    if(other == this) return true;
    if(this.isInfinity()) return other.isInfinity();
    if(other.isInfinity()) return this.isInfinity();
    var u, v;
    // u = Y2 * Z1 - Y1 * Z2
    u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q);
    if(!u.equals(BigInteger.ZERO)) return false;
    // v = X2 * Z1 - X1 * Z2
    v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q);
    return v.equals(BigInteger.ZERO);
}

function pointFpIsInfinity() {
    if((this.x == null) && (this.y == null)) return true;
    return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO);
}

function pointFpNegate() {
    return new ECPointFp(this.curve, this.x, this.y.negate(), this.z);
}

function pointFpAdd(b) {
    if(this.isInfinity()) return b;
    if(b.isInfinity()) return this;

    // u = Y2 * Z1 - Y1 * Z2
    var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q);
    // v = X2 * Z1 - X1 * Z2
    var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q);

    if(BigInteger.ZERO.equals(v)) {
        if(BigInteger.ZERO.equals(u)) {
            return this.twice(); // this == b, so double
        }
	return this.curve.getInfinity(); // this = -b, so infinity
    }

    var THREE = new BigInteger("3");
    var x1 = this.x.toBigInteger();
    var y1 = this.y.toBigInteger();
    var x2 = b.x.toBigInteger();
    var y2 = b.y.toBigInteger();

    var v2 = v.square();
    var v3 = v2.multiply(v);
    var x1v2 = x1.multiply(v2);
    var zu2 = u.square().multiply(this.z);

    // x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3)
    var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q);
    // y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3
    var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q);
    // z3 = v^3 * z1 * z2
    var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q);

    return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
}

function pointFpTwice() {
    if(this.isInfinity()) return this;
    if(this.y.toBigInteger().signum() == 0) return this.curve.getInfinity();

    // TODO: optimized handling of constants
    var THREE = new BigInteger("3");
    var x1 = this.x.toBigInteger();
    var y1 = this.y.toBigInteger();

    var y1z1 = y1.multiply(this.z);
    var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q);
    var a = this.curve.a.toBigInteger();

    // w = 3 * x1^2 + a * z1^2
    var w = x1.square().multiply(THREE);
    if(!BigInteger.ZERO.equals(a)) {
      w = w.add(this.z.square().multiply(a));
    }
    w = w.mod(this.curve.q);
    //this.curve.reduce(w);
    // x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1)
    var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q);
    // y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3
    var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q);
    // z3 = 8 * (y1 * z1)^3
    var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q);

    return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
}

// Simple NAF (Non-Adjacent Form) multiplication algorithm
// TODO: modularize the multiplication algorithm
function pointFpMultiply(k) {
    if(this.isInfinity()) return this;
    if(k.signum() == 0) return this.curve.getInfinity();

    var e = k;
    var h = e.multiply(new BigInteger("3"));

    var neg = this.negate();
    var R = this;

    var i;
    for(i = h.bitLength() - 2; i > 0; --i) {
	R = R.twice();

	var hBit = h.testBit(i);
	var eBit = e.testBit(i);

	if (hBit != eBit) {
	    R = R.add(hBit ? this : neg);
	}
    }

    return R;
}

// Compute this*j + x*k (simultaneous multiplication)
function pointFpMultiplyTwo(j,x,k) {
  var i;
  if(j.bitLength() > k.bitLength())
    i = j.bitLength() - 1;
  else
    i = k.bitLength() - 1;

  var R = this.curve.getInfinity();
  var both = this.add(x);
  while(i >= 0) {
    R = R.twice();
    if(j.testBit(i)) {
      if(k.testBit(i)) {
        R = R.add(both);
      }
      else {
        R = R.add(this);
      }
    }
    else {
      if(k.testBit(i)) {
        R = R.add(x);
      }
    }
    --i;
  }

  return R;
}

ECPointFp.prototype.getX = pointFpGetX;
ECPointFp.prototype.getY = pointFpGetY;
ECPointFp.prototype.equals = pointFpEquals;
ECPointFp.prototype.isInfinity = pointFpIsInfinity;
ECPointFp.prototype.negate = pointFpNegate;
ECPointFp.prototype.add = pointFpAdd;
ECPointFp.prototype.twice = pointFpTwice;
ECPointFp.prototype.multiply = pointFpMultiply;
ECPointFp.prototype.multiplyTwo = pointFpMultiplyTwo;

// ----------------
// ECCurveFp

// constructor
function ECCurveFp(q,a,b) {
    this.q = q;
    this.a = this.fromBigInteger(a);
    this.b = this.fromBigInteger(b);
    this.infinity = new ECPointFp(this, null, null);
    this.reducer = new Barrett(this.q);
}

function curveFpGetQ() {
    return this.q;
}

function curveFpGetA() {
    return this.a;
}

function curveFpGetB() {
    return this.b;
}

function curveFpEquals(other) {
    if(other == this) return true;
    return(this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b));
}

function curveFpGetInfinity() {
    return this.infinity;
}

function curveFpFromBigInteger(x) {
    return new ECFieldElementFp(this.q, x);
}

function curveReduce(x) {
    this.reducer.reduce(x);
}

// for now, work with hex strings because they're easier in JS
function curveFpDecodePointHex(s) {
    switch(parseInt(s.substr(0,2), 16)) { // first byte
    case 0:
	return this.infinity;
    case 2:
    case 3:
	// point compression not supported yet
	return null;
    case 4:
    case 6:
    case 7:
	var len = (s.length - 2) / 2;
	var xHex = s.substr(2, len);
	var yHex = s.substr(len+2, len);

	return new ECPointFp(this,
			     this.fromBigInteger(new BigInteger(xHex, 16)),
			     this.fromBigInteger(new BigInteger(yHex, 16)));

    default: // unsupported
	return null;
    }
}

function curveFpEncodePointHex(p) {
	if (p.isInfinity()) return "00";
	var xHex = p.getX().toBigInteger().toString(16);
	var yHex = p.getY().toBigInteger().toString(16);
	var oLen = this.getQ().toString(16).length;
	if ((oLen % 2) != 0) oLen++;
	while (xHex.length < oLen) {
		xHex = "0" + xHex;
	}
	while (yHex.length < oLen) {
		yHex = "0" + yHex;
	}
	return "04" + xHex + yHex;
}

ECCurveFp.prototype.getQ = curveFpGetQ;
ECCurveFp.prototype.getA = curveFpGetA;
ECCurveFp.prototype.getB = curveFpGetB;
ECCurveFp.prototype.equals = curveFpEquals;
ECCurveFp.prototype.getInfinity = curveFpGetInfinity;
ECCurveFp.prototype.fromBigInteger = curveFpFromBigInteger;
ECCurveFp.prototype.reduce = curveReduce;
//ECCurveFp.prototype.decodePointHex = curveFpDecodePointHex;
ECCurveFp.prototype.encodePointHex = curveFpEncodePointHex;

// from: https://github.com/kaielvin/jsbn-ec-point-compression
ECCurveFp.prototype.decodePointHex = function(s)
{
	var yIsEven;
    switch(parseInt(s.substr(0,2), 16)) { // first byte
    case 0:
	return this.infinity;
    case 2:
	yIsEven = false;
    case 3:
	if(yIsEven == undefined) yIsEven = true;
	var len = s.length - 2;
	var xHex = s.substr(2, len);
	var x = this.fromBigInteger(new BigInteger(xHex,16));
	var alpha = x.multiply(x.square().add(this.getA())).add(this.getB());
	var beta = alpha.sqrt();

    if (beta == null) throw "Invalid point compression";

    var betaValue = beta.toBigInteger();
    if (betaValue.testBit(0) != yIsEven)
    {
        // Use the other root
        beta = this.fromBigInteger(this.getQ().subtract(betaValue));
    }
    return new ECPointFp(this,x,beta);
    case 4:
    case 6:
    case 7:
	var len = (s.length - 2) / 2;
	var xHex = s.substr(2, len);
	var yHex = s.substr(len+2, len);

	return new ECPointFp(this,
			     this.fromBigInteger(new BigInteger(xHex, 16)),
			     this.fromBigInteger(new BigInteger(yHex, 16)));

    default: // unsupported
	return null;
    }
}
ECCurveFp.prototype.encodeCompressedPointHex = function(p)
{
	if (p.isInfinity()) return "00";
	var xHex = p.getX().toBigInteger().toString(16);
	var oLen = this.getQ().toString(16).length;
	if ((oLen % 2) != 0) oLen++;
	while (xHex.length < oLen)
		xHex = "0" + xHex;
	var yPrefix;
	if(p.getY().toBigInteger().isEven()) yPrefix = "02";
	else                                 yPrefix = "03";

	return yPrefix + xHex;
}


ECFieldElementFp.prototype.getR = function()
{
	if(this.r != undefined) return this.r;

    this.r = null;
    var bitLength = this.q.bitLength();
    if (bitLength > 128)
    {
        var firstWord = this.q.shiftRight(bitLength - 64);
        if (firstWord.intValue() == -1)
        {
            this.r = BigInteger.ONE.shiftLeft(bitLength).subtract(this.q);
        }
    }
    return this.r;
}
ECFieldElementFp.prototype.modMult = function(x1,x2)
{
    return this.modReduce(x1.multiply(x2));
}
ECFieldElementFp.prototype.modReduce = function(x)
{
    if (this.getR() != null)
    {
        var qLen = q.bitLength();
        while (x.bitLength() > (qLen + 1))
        {
            var u = x.shiftRight(qLen);
            var v = x.subtract(u.shiftLeft(qLen));
            if (!this.getR().equals(BigInteger.ONE))
            {
                u = u.multiply(this.getR());
            }
            x = u.add(v); 
        }
        while (x.compareTo(q) >= 0)
        {
            x = x.subtract(q);
        }
    }
    else
    {
        x = x.mod(q);
    }
    return x;
}
ECFieldElementFp.prototype.sqrt = function()
{
    if (!this.q.testBit(0)) throw "unsupported";

    // p mod 4 == 3
    if (this.q.testBit(1))
    {
    	var z = new ECFieldElementFp(this.q,this.x.modPow(this.q.shiftRight(2).add(BigInteger.ONE),this.q));
    	return z.square().equals(this) ? z : null;
    }

    // p mod 4 == 1
    var qMinusOne = this.q.subtract(BigInteger.ONE);

    var legendreExponent = qMinusOne.shiftRight(1);
    if (!(this.x.modPow(legendreExponent, this.q).equals(BigInteger.ONE)))
    {
        return null;
    }

    var u = qMinusOne.shiftRight(2);
    var k = u.shiftLeft(1).add(BigInteger.ONE);

    var Q = this.x;
    var fourQ = modDouble(modDouble(Q));

    var U, V;
    do
    {
        var P;
        do
        {
            P = new BigInteger(this.q.bitLength(), new SecureRandom());
        }
        while (P.compareTo(this.q) >= 0
            || !(P.multiply(P).subtract(fourQ).modPow(legendreExponent, this.q).equals(qMinusOne)));

        var result = this.lucasSequence(P, Q, k);
        U = result[0];
        V = result[1];

        if (this.modMult(V, V).equals(fourQ))
        {
            // Integer division by 2, mod q
            if (V.testBit(0))
            {
                V = V.add(q);
            }

            V = V.shiftRight(1);

            return new ECFieldElementFp(q,V);
        }
    }
    while (U.equals(BigInteger.ONE) || U.equals(qMinusOne));

    return null;
}
ECFieldElementFp.prototype.lucasSequence = function(P,Q,k)
{
    var n = k.bitLength();
    var s = k.getLowestSetBit();

    var Uh = BigInteger.ONE;
    var Vl = BigInteger.TWO;
    var Vh = P;
    var Ql = BigInteger.ONE;
    var Qh = BigInteger.ONE;

    for (var j = n - 1; j >= s + 1; --j)
    {
        Ql = this.modMult(Ql, Qh);

        if (k.testBit(j))
        {
            Qh = this.modMult(Ql, Q);
            Uh = this.modMult(Uh, Vh);
            Vl = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
            Vh = this.modReduce(Vh.multiply(Vh).subtract(Qh.shiftLeft(1)));
        }
        else
        {
            Qh = Ql;
            Uh = this.modReduce(Uh.multiply(Vl).subtract(Ql));
            Vh = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
            Vl = this.modReduce(Vl.multiply(Vl).subtract(Ql.shiftLeft(1)));
        }
    }

    Ql = this.modMult(Ql, Qh);
    Qh = this.modMult(Ql, Q);
    Uh = this.modReduce(Uh.multiply(Vl).subtract(Ql));
    Vl = this.modReduce(Vh.multiply(Vl).subtract(P.multiply(Ql)));
    Ql = this.modMult(Ql, Qh);

    for (var j = 1; j <= s; ++j)
    {
        Uh = this.modMult(Uh, Vl);
        Vl = this.modReduce(Vl.multiply(Vl).subtract(Ql.shiftLeft(1)));
        Ql = this.modMult(Ql, Ql);
    }

    return [ Uh, Vl ];
}

var exports = {
  ECCurveFp: ECCurveFp,
  ECPointFp: ECPointFp,
  ECFieldElementFp: ECFieldElementFp
}

module.exports = exports

Youez - 2016 - github.com/yon3zu
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