Cards can be used for entropy

Format is [A2-9TJQK][CDHS]
This commit is contained in:
Ian Coleman
2016-11-07 16:01:21 +11:00
parent 6606c50fd3
commit adc8ce127d
3 changed files with 279 additions and 98 deletions

View File

@@ -36,6 +36,32 @@ window.Entropy = new (function() {
hex: function(str) {
return str.match(/[0-9A-F]/gi) || [];
},
card: function(str) {
// Format is NumberSuit, eg
// AH ace of hearts
// 8C eight of clubs
// TD ten of diamonds
// JS jack of spades
// QH queen of hearts
// KC king of clubs
return str.match(/([A2-9TJQK][CDHS])/gi) || [];
}
}
// Convert array of cards from ["ac", "4d", "ks"]
// to numbers between 0 and 51 [0, 16, 51]
function convertCardsToInts(cards) {
var ints = [];
var values = "a23456789tjqk";
var suits = "cdhs";
for (var i=0; i<cards.length; i++) {
var card = cards[i].toLowerCase();
var value = card[0];
var suit = card[1];
var asInt = 13 * suits.indexOf(suit) + values.indexOf(value);
ints.push(asInt);
}
return ints;
}
this.fromString = function(rawEntropyStr) {
@@ -62,61 +88,61 @@ window.Entropy = new (function() {
if (base.parts.length == 0) {
return {
binaryStr: "",
hexStr: "",
cleanStr: "",
base: base,
};
}
// Pull leading zeros off
var leadingZeros = [];
while (base.parts[0] == "0") {
while (base.ints[0] == "0") {
leadingZeros.push("0");
base.parts.shift();
base.ints.shift();
}
// Convert leading zeros to binary equivalent
var numBinLeadingZeros = Math.ceil(Math.log2(base.asInt) * leadingZeros.length);
var numBinLeadingZeros = Math.floor(Math.log2(base.asInt) * leadingZeros.length);
var binLeadingZeros = "";
for (var i=0; i<numBinLeadingZeros; i++) {
binLeadingZeros += "0";
}
// Convert leading zeros to hex equivalent
var numHexLeadingZeros = Math.floor(numBinLeadingZeros / 4);
var hexLeadingZeros = "";
for (var i=0; i<numHexLeadingZeros; i++) {
hexLeadingZeros += "0";
}
// Handle entropy of zero
if (base.parts.length == 0) {
if (base.ints.length == 0) {
return {
binaryStr: binLeadingZeros,
hexStr: hexLeadingZeros || "0",
cleanStr: leadingZeros,
base: base,
}
}
// If using hex, should always be multiples of 4 bits, which can get
// out of sync if first number has leading 0 bits, eg 2 in hex is 0010
// which would show up as 10, thus missing 2 bits it should have.
if (base.asInt == 16) {
var firstDigit = parseInt(base.parts[0], 16);
if (firstDigit >= 4 && firstDigit < 8) {
binLeadingZeros += "0";
}
else if (firstDigit >= 2 && firstDigit < 4) {
binLeadingZeros += "00";
}
else if (firstDigit >= 1 && firstDigit < 2) {
binLeadingZeros += "000";
}
// If the first integer is small, it must be padded with zeros.
// Otherwise the chance of the first bit being 1 is 100%, which is
// obviously incorrect.
// This is not perfect for unusual bases, eg base 6 has 2.6 bits, so is
// slightly biased toward having leading zeros, but it's still better
// than ignoring it completely.
// TODO: revise this, it seems very fishy. For example, in base 10, there are
// 8 opportunities to start with 0 but only 2 to start with 1
var firstInt = base.ints[0];
var firstIntBits = Math.floor(Math.log2(firstInt))+1;
var maxFirstIntBits = Math.floor(Math.log2(base.asInt-1))+1;
var missingFirstIntBits = maxFirstIntBits - firstIntBits;
var firstIntLeadingZeros = "";
for (var i=0; i<missingFirstIntBits; i++) {
binLeadingZeros += "0";
}
// Convert entropy to different foramts
var entropyInt = BigInteger.parse(base.parts.join(""), base.asInt);
// Convert base.ints to BigInteger.
// Due to using unusual bases, eg cards of base52, this is not as simple as
// using BigInteger.parse()
var entropyInt = BigInteger.ZERO;
for (var i=base.ints.length-1; i>=0; i--) {
var thisInt = BigInteger.parse(base.ints[i]);
var power = (base.ints.length - 1) - i;
var additionalEntropy = BigInteger.parse(base.asInt).pow(power).multiply(thisInt);
entropyInt = entropyInt.add(additionalEntropy);
}
// Convert entropy to different formats
var entropyBin = binLeadingZeros + entropyInt.toString(2);
var entropyHex = hexLeadingZeros + entropyInt.toString(16);
var entropyClean = leadingZeros.join("") + base.parts.join("");
var entropyClean = base.parts.join("");
var e = {
binaryStr: entropyBin,
hexStr: entropyHex,
cleanStr: entropyClean,
base: base,
}
@@ -129,17 +155,32 @@ window.Entropy = new (function() {
var binaryMatches = matchers.binary(str);
var hexMatches = matchers.hex(str);
// Find the lowest base that can be used, whilst ignoring any irrelevant chars
if (binaryMatches.length == hexMatches.length) {
if (binaryMatches.length == hexMatches.length && hexMatches.length > 0) {
var ints = binaryMatches.map(function(i) { return parseInt(i, 2) });
return {
ints: ints,
parts: binaryMatches,
matcher: matchers.binary,
asInt: 2,
str: "binary",
}
}
var diceMatches = matchers.dice(str);
if (diceMatches.length == hexMatches.length) {
var cardMatches = matchers.card(str);
if (cardMatches.length >= hexMatches.length / 2) {
var ints = convertCardsToInts(cardMatches);
return {
ints: ints,
parts: cardMatches,
matcher: matchers.card,
asInt: 52,
str: "card",
}
}
var diceMatches = matchers.dice(str);
if (diceMatches.length == hexMatches.length && hexMatches.length > 0) {
var ints = diceMatches.map(function(i) { return parseInt(i) });
return {
ints: ints,
parts: diceMatches,
matcher: matchers.dice,
asInt: 6,
@@ -147,8 +188,10 @@ window.Entropy = new (function() {
}
}
var base6Matches = matchers.base6(str);
if (base6Matches.length == hexMatches.length) {
if (base6Matches.length == hexMatches.length && hexMatches.length > 0) {
var ints = base6Matches.map(function(i) { return parseInt(i) });
return {
ints: ints,
parts: base6Matches,
matcher: matchers.base6,
asInt: 6,
@@ -156,15 +199,19 @@ window.Entropy = new (function() {
}
}
var base10Matches = matchers.base10(str);
if (base10Matches.length == hexMatches.length) {
if (base10Matches.length == hexMatches.length && hexMatches.length > 0) {
var ints = base10Matches.map(function(i) { return parseInt(i) });
return {
ints: ints,
parts: base10Matches,
matcher: matchers.base10,
asInt: 10,
str: "base 10",
}
}
var ints = hexMatches.map(function(i) { return parseInt(i, 16) });
return {
ints: ints,
parts: hexMatches,
matcher: matchers.hex,
asInt: 16,
@@ -175,7 +222,11 @@ window.Entropy = new (function() {
// Polyfill for Math.log2
// See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/log2#Polyfill
Math.log2 = Math.log2 || function(x) {
return Math.log(x) * Math.LOG2E;
// The polyfill isn't good enough because of the poor accuracy of
// Math.LOG2E
// log2(8) gave 2.9999999999999996 which when floored causes issues.
// So instead use the BigInteger library to get it right.
return BigInteger.log(x) / BigInteger.log(2);
};
})();