| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | /* | 
					
						
							|  |  |  | 	MIT License http://www.opensource.org/licenses/mit-license.php
 | 
					
						
							|  |  |  | 	Author Mikola Lysenko @mikolalysenko | 
					
						
							|  |  |  | */ | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | "use strict"; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | /* cspell:disable-next-line */ | 
					
						
							|  |  |  | // Refactor: Peter Somogyvari @petermetz
 | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  | /** @typedef {">=" | "<=" | "<" | ">" | "-" } BinarySearchPredicate */ | 
					
						
							|  |  |  | /** @typedef {"GE" | "GT" | "LT" | "LE" | "EQ" } SearchPredicateSuffix */ | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | /** | 
					
						
							|  |  |  |  * Helper function for compiling binary search functions. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  * The generated code uses a while loop to repeatedly divide the search interval | 
					
						
							|  |  |  |  * in half until the desired element is found, or the search interval is empty. | 
					
						
							|  |  |  |  * | 
					
						
							| 
									
										
										
										
											2023-04-26 04:22:09 +08:00
										 |  |  |  * The following is an example of a generated function for calling `compileSearch("P", "c(x,y)<=0", true, ["y", "c"], false)`: | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  |  * | 
					
						
							|  |  |  |  * ```js
 | 
					
						
							| 
									
										
										
										
											2023-04-26 04:22:09 +08:00
										 |  |  |  * function P(a,l,h,y,c){var i=l-1;while(l<=h){var m=(l+h)>>>1,x=a[m];if(c(x,y)<=0){i=m;l=m+1}else{h=m-1}}return i}; | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  |  * ```
 | 
					
						
							|  |  |  |  * @param {string} funcName The name of the function to be compiled. | 
					
						
							|  |  |  |  * @param {string} predicate The predicate / comparison operator to be used in the binary search. | 
					
						
							|  |  |  |  * @param {boolean} reversed Whether the search should be reversed. | 
					
						
							|  |  |  |  * @param {string[]} extraArgs Extra arguments to be passed to the function. | 
					
						
							|  |  |  |  * @param {boolean=} earlyOut Whether the search should return as soon as a match is found. | 
					
						
							|  |  |  |  * @returns {string} The compiled binary search function. | 
					
						
							|  |  |  |  */ | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | const compileSearch = (funcName, predicate, reversed, extraArgs, earlyOut) => { | 
					
						
							|  |  |  | 	const code = [ | 
					
						
							|  |  |  | 		"function ", | 
					
						
							|  |  |  | 		funcName, | 
					
						
							|  |  |  | 		"(a,l,h,", | 
					
						
							|  |  |  | 		extraArgs.join(","), | 
					
						
							|  |  |  | 		"){", | 
					
						
							|  |  |  | 		earlyOut ? "" : "var i=", | 
					
						
							|  |  |  | 		reversed ? "l-1" : "h+1", | 
					
						
							|  |  |  | 		";while(l<=h){var m=(l+h)>>>1,x=a[m]" | 
					
						
							|  |  |  | 	]; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	if (earlyOut) { | 
					
						
							| 
									
										
										
										
											2024-07-31 16:02:41 +08:00
										 |  |  | 		if (!predicate.includes("c")) { | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | 			code.push(";if(x===y){return m}else if(x<=y){"); | 
					
						
							|  |  |  | 		} else { | 
					
						
							|  |  |  | 			code.push(";var p=c(x,y);if(p===0){return m}else if(p<=0){"); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 	} else { | 
					
						
							|  |  |  | 		code.push(";if(", predicate, "){i=m;"); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	if (reversed) { | 
					
						
							|  |  |  | 		code.push("l=m+1}else{h=m-1}"); | 
					
						
							|  |  |  | 	} else { | 
					
						
							|  |  |  | 		code.push("h=m-1}else{l=m+1}"); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	code.push("}"); | 
					
						
							|  |  |  | 	if (earlyOut) { | 
					
						
							|  |  |  | 		code.push("return -1};"); | 
					
						
							|  |  |  | 	} else { | 
					
						
							|  |  |  | 		code.push("return i};"); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	return code.join(""); | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  | /** | 
					
						
							|  |  |  |  * This helper functions generate code for two binary search functions: | 
					
						
							|  |  |  |  * A(): Performs a binary search on an array using the comparison operator specified. | 
					
						
							|  |  |  |  * P(): Performs a binary search on an array using a _custom comparison function_ | 
					
						
							|  |  |  |  * `c(x,y)` **and** comparison operator specified by `predicate`. | 
					
						
							|  |  |  |  * @param {BinarySearchPredicate} predicate The predicate / comparison operator to be used in the binary search. | 
					
						
							|  |  |  |  * @param {boolean} reversed Whether the search should be reversed. | 
					
						
							|  |  |  |  * @param {SearchPredicateSuffix} suffix The suffix to be used in the function name. | 
					
						
							|  |  |  |  * @param {boolean=} earlyOut Whether the search should return as soon as a match is found. | 
					
						
							| 
									
										
										
										
											2024-06-11 21:09:50 +08:00
										 |  |  |  * @returns {Function} The compiled binary search function. | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  |  */ | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | const compileBoundsSearch = (predicate, reversed, suffix, earlyOut) => { | 
					
						
							| 
									
										
										
										
											2024-07-31 10:39:30 +08:00
										 |  |  | 	const arg1 = compileSearch("A", `x${predicate}y`, reversed, ["y"], earlyOut); | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | 
 | 
					
						
							|  |  |  | 	const arg2 = compileSearch( | 
					
						
							|  |  |  | 		"P", | 
					
						
							| 
									
										
										
										
											2024-07-31 10:39:30 +08:00
										 |  |  | 		`c(x,y)${predicate}0`, | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | 		reversed, | 
					
						
							|  |  |  | 		["y", "c"], | 
					
						
							|  |  |  | 		earlyOut | 
					
						
							|  |  |  | 	); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	const fnHeader = "function dispatchBinarySearch"; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	const fnBody = | 
					
						
							| 
									
										
										
										
											2024-07-31 09:37:24 +08:00
										 |  |  | 		// eslint-disable-next-line no-multi-str
 | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | 		"(a,y,c,l,h){\ | 
					
						
							|  |  |  | if(typeof(c)==='function'){\ | 
					
						
							|  |  |  | return P(a,(l===void 0)?0:l|0,(h===void 0)?a.length-1:h|0,y,c)\ | 
					
						
							|  |  |  | }else{\ | 
					
						
							|  |  |  | return A(a,(c===void 0)?0:c|0,(l===void 0)?a.length-1:l|0,y)\ | 
					
						
							|  |  |  | }}\ | 
					
						
							|  |  |  | return dispatchBinarySearch"; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	const fnArgList = [arg1, arg2, fnHeader, suffix, fnBody, suffix]; | 
					
						
							|  |  |  | 	const fnSource = fnArgList.join(""); | 
					
						
							| 
									
										
										
										
											2024-07-31 09:37:24 +08:00
										 |  |  | 	// eslint-disable-next-line no-new-func
 | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | 	const result = new Function(fnSource); | 
					
						
							|  |  |  | 	return result(); | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2023-04-26 03:55:00 +08:00
										 |  |  | /** | 
					
						
							|  |  |  |  * These functions are used to perform binary searches on arrays. | 
					
						
							|  |  |  |  * @example | 
					
						
							|  |  |  |  * ```js
 | 
					
						
							|  |  |  |  * const { gt, le} = require("./binarySearchBounds"); | 
					
						
							|  |  |  |  * const arr = [1, 2, 3, 4, 5, 6, 7, 8, 9]; | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  * // Find the index of the first element greater than 5
 | 
					
						
							|  |  |  |  * const index1 = gt(arr, 5); // index1 === 3
 | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  * // Find the index of the first element less than or equal to 5
 | 
					
						
							|  |  |  |  * const index2 = le(arr, 5); // index2 === 4
 | 
					
						
							|  |  |  |  * ```
 | 
					
						
							|  |  |  |  */ | 
					
						
							| 
									
										
										
										
											2020-11-07 10:06:10 +08:00
										 |  |  | module.exports = { | 
					
						
							|  |  |  | 	ge: compileBoundsSearch(">=", false, "GE"), | 
					
						
							|  |  |  | 	gt: compileBoundsSearch(">", false, "GT"), | 
					
						
							|  |  |  | 	lt: compileBoundsSearch("<", true, "LT"), | 
					
						
							|  |  |  | 	le: compileBoundsSearch("<=", true, "LE"), | 
					
						
							|  |  |  | 	eq: compileBoundsSearch("-", true, "EQ", true) | 
					
						
							|  |  |  | }; |