2017-07-19 15:29:37 +00:00
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import Utils from "../Utils.js";
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/**
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* Binary-Coded Decimal operations.
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*
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* @author n1474335 [n1474335@gmail.com]
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* @copyright Crown Copyright 2017
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* @license Apache-2.0
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*
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* @namespace
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*/
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const BCD = {
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/**
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* @constant
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* @default
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*/
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ENCODING_SCHEME: [
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"8 4 2 1",
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"7 4 2 1",
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"4 2 2 1",
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"2 4 2 1",
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"8 4 -2 -1",
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"Excess-3",
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"IBM 8 4 2 1",
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],
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/**
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* Lookup table for the binary value of each digit representation.
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*
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* I wrote a very nice algorithm to generate 8 4 2 1 encoding programatically,
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* but unfortunately it's much easier (if less elegant) to use lookup tables
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* when supporting multiple encoding schemes.
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*
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* "Practicality beats purity" - PEP 20
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*
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* In some schemes it is possible to represent the same value in multiple ways.
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* For instance, in 4 2 2 1 encoding, 0100 and 0010 both represent 2. Support
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* has not yet been added for this.
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*
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* @constant
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*/
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ENCODING_LOOKUP: {
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"8 4 2 1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
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"7 4 2 1": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10],
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"4 2 2 1": [0, 1, 4, 5, 8, 9, 12, 13, 14, 15],
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"2 4 2 1": [0, 1, 2, 3, 4, 11, 12, 13, 14, 15],
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"8 4 -2 -1": [0, 7, 6, 5, 4, 11, 10, 9, 8, 15],
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"Excess-3": [3, 4, 5, 6, 7, 8, 9, 10, 11, 12],
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"IBM 8 4 2 1": [10, 1, 2, 3, 4, 5, 6, 7, 8, 9],
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},
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/**
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* @default
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* @constant
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*/
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FORMAT: ["Nibbles", "Bytes", "Raw"],
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/**
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* To BCD operation.
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*
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* @param {number} input
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* @param {Object[]} args
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* @returns {string}
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*/
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runToBCD: function(input, args) {
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if (isNaN(input))
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return "Invalid input";
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if (Math.floor(input) !== input)
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return "Fractional values are not supported by BCD";
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const encoding = BCD.ENCODING_LOOKUP[args[0]],
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packed = args[1],
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signed = args[2],
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outputFormat = args[3];
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// Split input number up into separate digits
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const digits = input.toString().split("");
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if (digits[0] === "-" || digits[0] === "+") {
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digits.shift();
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}
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let nibbles = [];
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digits.forEach(d => {
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const n = parseInt(d, 10);
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nibbles.push(encoding[n]);
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});
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if (signed) {
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if (packed && digits.length % 2 === 0) {
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// If there are an even number of digits, we add a leading 0 so
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// that the sign nibble doesn't sit in its own byte, leading to
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// ambiguity around whether the number ends with a 0 or not.
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nibbles.unshift(encoding[0]);
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}
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nibbles.push(input > 0 ? 12 : 13);
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// 12 ("C") for + (credit)
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// 13 ("D") for - (debit)
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}
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let bytes = [];
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if (packed) {
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let encoded = 0,
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little = false;
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nibbles.forEach(n => {
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encoded ^= little ? n : (n << 4);
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if (little) {
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bytes.push(encoded);
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encoded = 0;
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}
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little = !little;
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});
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if (little) bytes.push(encoded);
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} else {
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bytes = nibbles;
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// Add null high nibbles
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nibbles = nibbles.map(n => {
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return [0, n];
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}).reduce((a, b) => {
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return a.concat(b);
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});
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}
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// Output
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switch (outputFormat) {
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case "Nibbles":
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return nibbles.map(n => {
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2017-12-28 14:38:57 +00:00
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return n.toString(2).padStart(4, "0");
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2017-07-19 15:29:37 +00:00
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}).join(" ");
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case "Bytes":
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return bytes.map(b => {
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2017-12-28 14:38:57 +00:00
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return b.toString(2).padStart(8, "0");
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2017-07-19 15:29:37 +00:00
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}).join(" ");
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case "Raw":
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default:
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return Utils.byteArrayToChars(bytes);
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}
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},
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/**
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* From BCD operation.
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*
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* @param {string} input
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* @param {Object[]} args
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* @returns {number}
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*/
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runFromBCD: function(input, args) {
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const encoding = BCD.ENCODING_LOOKUP[args[0]],
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packed = args[1],
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signed = args[2],
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inputFormat = args[3];
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let nibbles = [],
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output = "",
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byteArray;
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// Normalise the input
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switch (inputFormat) {
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case "Nibbles":
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case "Bytes":
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input = input.replace(/\s/g, "");
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for (let i = 0; i < input.length; i += 4) {
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nibbles.push(parseInt(input.substr(i, 4), 2));
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}
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break;
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case "Raw":
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default:
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byteArray = Utils.strToByteArray(input);
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byteArray.forEach(b => {
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nibbles.push(b >>> 4);
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nibbles.push(b & 15);
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});
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break;
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}
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if (!packed) {
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// Discard each high nibble
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for (let i = 0; i < nibbles.length; i++) {
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nibbles.splice(i, 1);
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}
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}
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if (signed) {
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const sign = nibbles.pop();
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if (sign === 13 ||
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sign === 11) {
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// Negative
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output += "-";
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}
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}
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nibbles.forEach(n => {
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if (isNaN(n)) throw "Invalid input";
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let val = encoding.indexOf(n);
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if (val < 0) throw `Value ${Utils.bin(n, 4)} not in encoding scheme`;
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output += val.toString();
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});
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return parseInt(output, 10);
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},
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};
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export default BCD;
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