wsemi
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A support package for web developer.
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<title>interp1.mjs - Documentation</title>
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<h2><a href="index.html">Home</a></h2><h3>Classes</h3><ul><li><a href="wsemi.html">wsemi</a><ul class='methods'><li data-type='method'><a href="wsemi.html#.ab2blob">ab2blob</a></li><li data-type='method'><a href="wsemi.html#.ab2u8arr">ab2u8arr</a></li><li data-type='method'><a href="wsemi.html#.addExcelWorksheetFromData">addExcelWorksheetFromData</a></li><li data-type='method'><a href="wsemi.html#.addMonth">addMonth</a></li><li data-type='method'><a href="wsemi.html#.aes2str">aes2str</a></li><li data-type='method'><a href="wsemi.html#.alive">alive</a></li><li data-type='method'><a href="wsemi.html#.arr2dt">arr2dt</a></li><li data-type='method'><a href="wsemi.html#.arrAccum">arrAccum</a></li><li data-type='method'><a href="wsemi.html#.arrAdd">arrAdd</a></li><li data-type='method'><a href="wsemi.html#.arrAt">arrAt</a></li><li data-type='method'><a href="wsemi.html#.arrDiff">arrDiff</a></li><li data-type='method'><a href="wsemi.html#.arrFilterByKeywords">arrFilterByKeywords</a></li><li data-type='method'><a href="wsemi.html#.arrFilterByNum">arrFilterByNum</a></li><li data-type='method'><a href="wsemi.html#.arrFilterByPnum">arrFilterByPnum</a></li><li data-type='method'><a href="wsemi.html#.arrFilterByPnumAndToLog">arrFilterByPnumAndToLog</a></li><li data-type='method'><a href="wsemi.html#.arrFind">arrFind</a></li><li data-type='method'><a href="wsemi.html#.arrGroupByMaxmin">arrGroupByMaxmin</a></li><li data-type='method'><a href="wsemi.html#.arrHas">arrHas</a></li><li data-type='method'><a href="wsemi.html#.arrInsert">arrInsert</a></li><li data-type='method'><a href="wsemi.html#.arrLookupByMaxmin">arrLookupByMaxmin</a></li><li data-type='method'><a href="wsemi.html#.arrMax">arrMax</a></li><li data-type='method'><a href="wsemi.html#.arrMin">arrMin</a></li><li data-type='method'><a href="wsemi.html#.arrMulti">arrMulti</a></li><li data-type='method'><a href="wsemi.html#.arrNorm">arrNorm</a></li><li data-type='method'><a href="wsemi.html#.arrProduct">arrProduct</a></li><li data-type='method'><a href="wsemi.html#.arrReduce">arrReduce</a></li><li data-type='method'><a href="wsemi.html#.arrSep">arrSep</a></li><li data-type='method'><a href="wsemi.html#.arrSort">arrSort</a></li><li data-type='method'><a href="wsemi.html#.asind">asind</a></li><li data-type='method'><a href="wsemi.html#.atan2d">atan2d</a></li><li data-type='method'><a href="wsemi.html#.atand">atand</a></li><li data-type='method'><a href="wsemi.html#.attstr">attstr</a></li><li data-type='method'><a href="wsemi.html#.b642obj">b642obj</a></li><li data-type='method'><a href="wsemi.html#.b642str">b642str</a></li><li data-type='method'><a href="wsemi.html#.b642u16arr">b642u16arr</a></li><li data-type='method'><a href="wsemi.html#.b642u8arr">b642u8arr</a></li><li data-type='method'><a href="wsemi.html#.binstr">binstr</a></li><li data-type='method'><a href="wsemi.html#.blob2ab">blob2ab</a></li><li data-type='method'><a href="wsemi.html#.blob2b64">blob2b64</a></li><li data-type='method'><a href="wsemi.html#.blob2str">blob2str</a></li><li data-type='method'><a href="wsemi.html#.blob2u8arr">blob2u8arr</a></li><li data-type='method'><a href="wsemi.html#.blobs2b64s">blobs2b64s</a></li><li data-type='method'><a href="wsemi.html#.blobs2u8arrs">blobs2u8arrs</a></li><li data-type='method'><a href="wsemi.html#.bodyLog">bodyLog</a></li><li data-type='method'><a href="wsemi.html#.browserView">browserView</a></li><li data-type='method'><a href="wsemi.html#.browserViewFromBlob">browserViewFromBlob</a></li><li data-type='method'><a href="wsemi.html#.browserViewFromText">browserViewFromText</a></li><li data-type='method'><a href="wsemi.html#.browserViewFromU8arr">browserViewFromU8arr</a></li><li data-type='method'><a href="wsemi.html#.bs2u8arr">bs2u8arr</a></li><li data-type='method'><a href="wsemi.html#.bufRead">bufRead</a></li><li data-type='method'><a href="wsemi.html#.bufReadDbl">bufReadDbl</a></li><li data-type='method'><a href="wsemi.html#.bufWrite">bufWrite</a></li><li data-type='method'><a href="wsemi.html#.bufWriteDbl">bufWriteDbl</a></li><li data-type='method'><a href="wsemi.html#.cache">cache</a></li><li data-type='method'><a href="wsemi.html#.cbol">cbol</a></li><li data-type='method'><a href="wsemi.html#.cdbl">cdbl</a></li><li data-type='method'><a href="wsemi.html#.cfilesize">cfilesize</a></li><li data-type='method'><a href="wsemi.html#.cfinancial">cfinancial</a></li><li data-type='method'><a href="wsemi.html#.cint">cint</a></li><li data-type='method'><a href="wsemi.html#.clearXSS">clearXSS</a></li><li data-type='method'><a href="wsemi.html#.color">color</a></li><li data-type='method'><a href="wsemi.html#.composeToTree">composeToTree</a></li><li data-type='method'><a href="wsemi.html#.convertToTree">convertToTree</a></li><li data-type='method'><a href="wsemi.html#.copyStrToClipboard">copyStrToClipboard</a></li><li data-type='method'><a href="wsemi.html#.cosd">cosd</a></li><li data-type='method'><a href="wsemi.html#.cotd">cotd</a></li><li data-type='method'><a href="wsemi.html#.createExcelWorkbook">createExcelWorkbook</a></li><li data-type='method'><a href="wsemi.html#.cscd">cscd</a></li><li data-type='method'><a href="wsemi.html#.cstr">cstr</a></li><li data-type='method'><a href="wsemi.html#.day2cht">day2cht</a></li><li data-type='method'><a href="wsemi.html#.debounce">debounce</a></li><li data-type='method'><a href="wsemi.html#.delay">delay</a></li><li data-type='method'><a href="wsemi.html#.dig">dig</a></li><li data-type='method'><a href="wsemi.html#.digExp">digExp</a></li><li data-type='method'><a href="wsemi.html#.domAlert">domAlert</a></li><li data-type='method'><a href="wsemi.html#.domAppend">domAppend</a></li><li data-type='method'><a href="wsemi.html#.domCancelEvent">domCancelEvent</a></li><li data-type='method'><a href="wsemi.html#.domCompareText">domCompareText</a></li><li data-type='method'><a href="wsemi.html#.domCompareTextDyn">domCompareTextDyn</a></li><li data-type='method'><a href="wsemi.html#.domConvertToPic">domConvertToPic</a></li><li data-type='method'><a href="wsemi.html#.domConvertToPicDyn">domConvertToPicDyn</a></li><li data-type='method'><a href="wsemi.html#.domDetect">domDetect</a></li><li data-type='method'><a href="wsemi.html#.domDrag">domDrag</a></li><li data-type='method'><a href="wsemi.html#.domDragBarAndScroll">domDragBarAndScroll</a></li><li data-type='method'><a href="wsemi.html#.domDragPreview">domDragPreview</a></li><li data-type='method'><a href="wsemi.html#.domDropFiles">domDropFiles</a></li><li data-type='method'><a href="wsemi.html#.domElementsFromPoint">domElementsFromPoint</a></li><li data-type='method'><a href="wsemi.html#.domFadeIn">domFadeIn</a></li><li data-type='method'><a href="wsemi.html#.domFadeOut">domFadeOut</a></li><li data-type='method'><a href="wsemi.html#.domFind">domFind</a></li><li data-type='method'><a href="wsemi.html#.domFinds">domFinds</a></li><li data-type='method'><a href="wsemi.html#.domGetAttr">domGetAttr</a></li><li data-type='method'><a href="wsemi.html#.domGetBoudRect">domGetBoudRect</a></li><li data-type='method'><a href="wsemi.html#.domGetBoudRectRefSelf">domGetBoudRectRefSelf</a></li><li data-type='method'><a href="wsemi.html#.domGetFileAccept">domGetFileAccept</a></li><li data-type='method'><a href="wsemi.html#.domGetFiles">domGetFiles</a></li><li data-type='method'><a href="wsemi.html#.domGetParents">domGetParents</a></li><li data-type='method'><a href="wsemi.html#.domGetPointFromEvent">domGetPointFromEvent</a></li><li data-type='method'><a href="wsemi.html#.domGetScrollableParent">domGetScrollableParent</a></li><li data-type='method'><a href="wsemi.html#.domGetWindowSize">domGetWindowSize</a></li><li data-type='method'><a href="wsemi.html#.domIsClientXYIn">domIsClientXYIn</a></li><li data-type='method'><a href="wsemi.html#.domIsFocused">domIsFocused</a></li><li data-type='method'><a href="wsemi.html#.domIsVisible">domIsVisible</a></li><li data-type='method'><a href="wsemi.html#.domPrepend">domPrepend</a></li><li data-type='method'><a href="wsemi.html#.domRemove">domRemove</a></li><li data-type='method'><a href="wsemi.html#.domRenderMarkdownMind">domRenderMarkdownMind</a></li><li data-type='method'><a href="wsemi.html#.domRenderMarkdownMindDyn">domRenderMarkdownMindDyn</a></li><li data-type='method'><a href="wsemi.html#.domRipple">domRipple</a></li><li data-type='method'><a href="wsemi.html#.domScrollIntoView">domScrollIntoView</a></li><li data-type='method'><a href="wsemi.html#.domScrollTo">domScrollTo</a></li><li data-type='method'><a href="wsemi.html#.domShowImages">domShowImages</a></li><li data-type='method'><a href="wsemi.html#.domShowImagesDyn">domShowImagesDyn</a></li><li data-type='method'><a href="wsemi.html#.domShowInputAndGetFiles">domShowInputAndGetFiles</a></li><li data-type='method'><a href="wsemi.html#.domShowInputAndGetFilesU8Arrs">domShowInputAndGetFilesU8Arrs</a></li><li data-type='method'><a href="wsemi.html#.domTooltip">domTooltip</a></li><li data-type='method'><a href="wsemi.html#.domTriggerEvent">domTriggerEvent</a></li><li data-type='method'><a href="wsemi.html#.domVirtualCreate">domVirtualCreate</a></li><li data-type='method'><a href="wsemi.html#.domVirtualCreateQueue">domVirtualCreateQueue</a></li><li data-type='method'><a href="wsemi.html#.downloadExcelFileFromData">downloadExcelFileFromData</a></li><li data-type='method'><a href="wsemi.html#.downloadExcelFileFromDataDyn">downloadExcelFileFromDataDyn</a></li><li data-type='method'><a href="wsemi.html#.downloadFileFromB64">downloadFileFromB64</a></li><li data-type='method'><a href="wsemi.html#.downloadFileFromBlob">downloadFileFromBlob</a></li><li data-type='method'><a href="wsemi.html#.downloadFileFromText">downloadFileFromText</a></li><li data-type='method'><a href="wsemi.html#.downloadFileFromU8Arr">downloadFileFromU8Arr</a></li><li data-type='method'><a href="wsemi.html#.dtmapping">dtmapping</a></li><li data-type='method'><a href="wsemi.html#.dtpick">dtpick</a></li><li data-type='method'><a href="wsemi.html#.evem">evem</a></li><li data-type='method'><a href="wsemi.html#.execProcess">execProcess</a></li><li data-type='method'><a href="wsemi.html#.execScript">execScript</a></li><li data-type='method'><a href="wsemi.html#.f2c">f2c</a></li><li data-type='method'><a href="wsemi.html#.filepathToTree">filepathToTree</a></li><li data-type='method'><a href="wsemi.html#.files2data">files2data</a></li><li data-type='method'><a href="wsemi.html#.flattenToConn">flattenToConn</a></li><li data-type='method'><a href="wsemi.html#.flattenTree">flattenTree</a></li><li data-type='method'><a href="wsemi.html#.fsCleanFolder">fsCleanFolder</a></li><li data-type='method'><a href="wsemi.html#.fsCopyFolder">fsCopyFolder</a></li><li data-type='method'><a href="wsemi.html#.fsCreateFile">fsCreateFile</a></li><li data-type='method'><a href="wsemi.html#.fsCreateFolder">fsCreateFolder</a></li><li data-type='method'><a href="wsemi.html#.fsDeleteFile">fsDeleteFile</a></li><li data-type='method'><a href="wsemi.html#.fsDeleteFolder">fsDeleteFolder</a></li><li data-type='method'><a href="wsemi.html#.fsEvem">fsEvem</a></li><li data-type='method'><a href="wsemi.html#.fsGetFilesInFolder">fsGetFilesInFolder</a></li><li data-type='method'><a href="wsemi.html#.fsGetFoldersInFolder">fsGetFoldersInFolder</a></li><li data-type='method'><a href="wsemi.html#.fsIsFile">fsIsFile</a></li><li data-type='method'><a href="wsemi.html#.fsIsFolder">fsIsFolder</a></li><li data-type='method'><a href="wsemi.html#.fsReadText">fsReadText</a></li><li data-type='method'><a href="wsemi.html#.fsRenameFile">fsRenameFile</a></li><li data-type='method'><a href="wsemi.html#.fsRenameFolder">fsRenameFolder</a></li><li data-type='method'><a href="wsemi.html#.fsTreeFolder">fsTreeFolder</a></li><li data-type='method'><a href="wsemi.html#.fsWatchFile">fsWatchFile</a></li><li data-type='method'><a href="wsemi.html#.fsWriteText">fsWriteText</a></li><li data-type='method'><a href="wsemi.html#.genGradientColor">genGradientColor</a></li><li data-type='method'><a href="wsemi.html#.genID">genID</a></li><li data-type='method'><a href="wsemi.html#.genPm">genPm</a></li><li data-type='method'><a href="wsemi.html#.getBufferSize">getBufferSize</a></li><li data-type='method'><a href="wsemi.html#.getClearPathName">getClearPathName</a></li><li data-type='method'><a href="wsemi.html#.getCsvStrFromData">getCsvStrFromData</a></li><li data-type='method'><a href="wsemi.html#.getDataFromExcelFileU8Arr">getDataFromExcelFileU8Arr</a></li><li data-type='method'><a href="wsemi.html#.getDataFromExcelFileU8ArrDyn">getDataFromExcelFileU8ArrDyn</a></li><li data-type='method'><a href="wsemi.html#.getDirName">getDirName</a></li><li data-type='method'><a href="wsemi.html#.getEnv">getEnv</a></li><li data-type='method'><a href="wsemi.html#.getExcelU8ArrFromData">getExcelU8ArrFromData</a></li><li data-type='method'><a href="wsemi.html#.getExcelU8ArrFromWorkbook">getExcelU8ArrFromWorkbook</a></li><li data-type='method'><a href="wsemi.html#.getExcelWorkbookFromData">getExcelWorkbookFromData</a></li><li data-type='method'><a href="wsemi.html#.getExcelWorkbookFromWorksheet">getExcelWorkbookFromWorksheet</a></li><li data-type='method'><a href="wsemi.html#.getExcelWorksheetFromData">getExcelWorksheetFromData</a></li><li data-type='method'><a href="wsemi.html#.getFileAccept">getFileAccept</a></li><li data-type='method'><a href="wsemi.html#.getFileName">getFileName</a></li><li data-type='method'><a href="wsemi.html#.getFileTrueName">getFileTrueName</a></li><li data-type='method'><a href="wsemi.html#.getGlobal">getGlobal</a></li><li data-type='method'><a href="wsemi.html#.getObjSize">getObjSize</a></li><li data-type='method'><a href="wsemi.html#.getTimeBetween">getTimeBetween</a></li><li data-type='method'><a href="wsemi.html#.getTimeFromUnit">getTimeFromUnit</a></li><li data-type='method'><a href="wsemi.html#.getTimeObject">getTimeObject</a></li><li data-type='method'><a href="wsemi.html#.getTimeRange">getTimeRange</a></li><li data-type='method'><a href="wsemi.html#.getUserAgent">getUserAgent</a></li><li data-type='method'><a href="wsemi.html#.getUserAgentDyn">getUserAgentDyn</a></li><li data-type='method'><a href="wsemi.html#.getltdtkeys">getltdtkeys</a></li><li data-type='method'><a href="wsemi.html#.haskey">haskey</a></li><li data-type='method'><a href="wsemi.html#.html2pic">html2pic</a></li><li data-type='method'><a href="wsemi.html#.html2picDyn">html2picDyn</a></li><li data-type='method'><a href="wsemi.html#.html2str">html2str</a></li><li data-type='method'><a href="wsemi.html#.html2strDyn">html2strDyn</a></li><li data-type='method'><a href="wsemi.html#.htmlDecode">htmlDecode</a></li><li data-type='method'><a href="wsemi.html#.htmlEncode">htmlEncode</a></li><li data-type='method'><a href="wsemi.html#.importResources">importResources</a></li><li data-type='method'><a href="wsemi.html#.interp1">interp1</a></li><li data-type='method'><a href="wsemi.html#.isDev">isDev</a></li><li data-type='method'><a href="wsemi.html#.isEle">isEle</a></li><li data-type='method'><a href="wsemi.html#.isEleExistByID">isEleExistByID</a></li><li data-type='method'><a href="wsemi.html#.isEmail">isEmail</a></li><li data-type='method'><a href="wsemi.html#.isIE">isIE</a></li><li data-type='method'><a href="wsemi.html#.isNarrow">isNarrow</a></li><li data-type='method'><a href="wsemi.html#.isStrHasCapital">isStrHasCapital</a></li><li data-type='method'><a href="wsemi.html#.isStrHasLowerCase">isStrHasLowerCase</a></li><li data-type='method'><a href="wsemi.html#.isStrHasNumber">isStrHasNumber</a></li><li data-type='method'><a href="wsemi.html#.isUserIdentify">isUserIdentify</a></li><li data-type='method'><a href="wsemi.html#.isUserName">isUserName</a></li><li data-type='method'><a href="wsemi.html#.isUserPW">isUserPW</a></li><li data-type='method'><a href="wsemi.html#.isWindow">isWindow</a></li><li data-type='method'><a href="wsemi.html#.isab">isab</a></li><li data-type='method'><a href="wsemi.html#.isarr">isarr</a></li><li data-type='method'><a href="wsemi.html#.isarr0">isarr0</a></li><li data-type='method'><a href="wsemi.html#.isblob">isblob</a></li><li data-type='method'><a href="wsemi.html#.isbol">isbol</a></li><li data-type='method'><a href="wsemi.html#.isday">isday</a></li><li data-type='method'><a href="wsemi.html#.isearr">isearr</a></li><li data-type='method'><a href="wsemi.html#.iseobj">iseobj</a></li><li data-type='method'><a href="wsemi.html#.iser">iser</a></li><li data-type='method'><a href="wsemi.html#.isernot">isernot</a></li><li data-type='method'><a href="wsemi.html#.isestr">isestr</a></li><li data-type='method'><a href="wsemi.html#.isfun">isfun</a></li><li data-type='method'><a href="wsemi.html#.isint">isint</a></li><li data-type='method'><a href="wsemi.html#.ismonth">ismonth</a></li><li data-type='method'><a href="wsemi.html#.isn0int">isn0int</a></li><li data-type='method'><a href="wsemi.html#.isn0num">isn0num</a></li><li data-type='method'><a href="wsemi.html#.isnbr">isnbr</a></li><li data-type='method'><a href="wsemi.html#.isnint">isnint</a></li><li data-type='method'><a href="wsemi.html#.isnnum">isnnum</a></li><li data-type='method'><a href="wsemi.html#.isnull">isnull</a></li><li data-type='method'><a href="wsemi.html#.isnum">isnum</a></li><li data-type='method'><a href="wsemi.html#.isobj">isobj</a></li><li data-type='method'><a href="wsemi.html#.isobj0">isobj0</a></li><li data-type='method'><a href="wsemi.html#.isp0int">isp0int</a></li><li data-type='method'><a href="wsemi.html#.isp0num">isp0num</a></li><li data-type='method'><a href="wsemi.html#.ispint">ispint</a></li><li data-type='method'><a href="wsemi.html#.ispm">ispm</a></li><li data-type='method'><a href="wsemi.html#.ispnum">ispnum</a></li><li data-type='method'><a href="wsemi.html#.isstr">isstr</a></li><li data-type='method'><a href="wsemi.html#.isstr0">isstr0</a></li><li data-type='method'><a href="wsemi.html#.istime">istime</a></li><li data-type='method'><a href="wsemi.html#.istimeTZ">istimeTZ</a></li><li data-type='method'><a href="wsemi.html#.istimems">istimems</a></li><li data-type='method'><a href="wsemi.html#.istimemsTZ">istimemsTZ</a></li><li data-type='method'><a href="wsemi.html#.isu16arr">isu16arr</a></li><li data-type='method'><a href="wsemi.html#.isu8arr">isu8arr</a></li><li data-type='method'><a href="wsemi.html#.isundefined">isundefined</a></li><li data-type='method'><a href="wsemi.html#.j2o">j2o</a></li><li data-type='method'><a href="wsemi.html#.keysmat2ltdt">keysmat2ltdt</a></li><li data-type='method'><a href="wsemi.html#.log">log</a></li><li data-type='method'><a href="wsemi.html#.ltdt2vrtsable">ltdt2vrtsable</a></li><li data-type='method'><a href="wsemi.html#.ltdtDiff">ltdtDiff</a></li><li data-type='method'><a href="wsemi.html#.ltdtDiffByKey">ltdtDiffByKey</a></li><li data-type='method'><a href="wsemi.html#.ltdtkeys2mat">ltdtkeys2mat</a></li><li data-type='method'><a href="wsemi.html#.ltdtkeysheads2mat">ltdtkeysheads2mat</a></li><li data-type='method'><a href="wsemi.html#.ltdtmapping">ltdtmapping</a></li><li data-type='method'><a href="wsemi.html#.ltdtmerge">ltdtmerge</a></li><li data-type='method'><a href="wsemi.html#.ltdtpick">ltdtpick</a></li><li data-type='method'><a href="wsemi.html#.ltdtpull">ltdtpull</a></li><li data-type='method'><a href="wsemi.html#.mat2ltdt">mat2ltdt</a></li><li data-type='method'><a href="wsemi.html#.matConcat">matConcat</a></li><li data-type='method'><a href="wsemi.html#.matDiff">matDiff</a></li><li data-type='method'><a href="wsemi.html#.matat">matat</a></li><li data-type='method'><a 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<div id="main">
<h1 class="page-title">interp1.mjs</h1>
<section>
<article>
<pre class="prettyprint source linenums"><code>import size from 'lodash/size'
import get from 'lodash/get'
import each from 'lodash/each'
import reverse from 'lodash/reverse'
import toNumber from 'lodash/toNumber'
import isNumber from 'lodash/isNumber'
import isnum from './isnum.mjs'
import isarr from './isarr.mjs'
import isestr from './isestr.mjs'
let inXRange = 'in x-range'
let outOfXRange = 'out of x-range'
let orderList = 'order list'
let reverseOrderList = 'reverse order list'
function toArrayXY(ps, opt = {}) {
//若無數據回傳空陣列
if (size(ps) <= 0) {
return []
}
//keyX
let keyX = get(opt, 'keyX')
if (!isestr(keyX)) {
keyX = 'x'
}
//keyY
let keyY = get(opt, 'keyY')
if (!isestr(keyY)) {
keyY = 'y'
}
//rs
let rs = []
each(ps, (v) => {
let x = null
let y = null
if (isarr(v) && size(v) >= 2) {
x = get(v, 0)
y = get(v, 1)
}
else {
x = get(v, keyX, null)
y = get(v, keyY, null)
}
if (isnum(x) && isnum(y)) {
x = toNumber(x)
y = toNumber(y)
rs.push({
x,
y,
})
}
})
return rs
}
function checkTrend(ps) {
//check
let bOrder = true
let bReverseOrder = true
for (let i = 1; i < size(ps); i++) {
let p0 = ps[i - 1]
let p1 = ps[i]
if (bOrder && p0.x > p1.x) { //有遞減出現
bOrder = false
}
if (bReverseOrder && p0.x < p1.x) { //有遞增出現
bReverseOrder = false
}
if (p0.x === p1.x) {
return {
err: `x can not be equal: i=${i}, x=${p0.x}`
}
}
}
if (bOrder) {
return orderList
}
if (bReverseOrder) {
return reverseOrderList
}
return 'no'
}
function checkLimit(ps, x) {
//xmin, xmax, 外部已確保x為遞增
let xmin = null
let xmax = null
xmin = ps[0].x
xmax = ps[size(ps) - 1].x
//lt, less than lower limit
if (x < xmin) {
return {
err: outOfXRange,
msg: `x[${x}] less than lower limit[${xmin}]`,
data: {
ps,
x,
xmin,
xmax,
},
}
}
//gt, greater than upper limit
if (x > xmax) {
return {
err: outOfXRange,
msg: `x[${x}] greater than upper limit[${xmax}]`,
data: {
ps,
x,
xmin,
xmax,
},
}
}
return inXRange
}
function interp1Linear(ps, x) {
//尋找x對應y值, 採各點之間線性內插
//checkLimit
let cl = checkLimit(ps, x)
if (cl !== inXRange) {
return cl
}
//r
let r = null
for (let i = 1; i < size(ps); i++) {
let p0 = ps[i - 1]
let p1 = ps[i]
if (p0.x <= x && x <= p1.x) {
r = ((x - p0.x) * p1.y + (p1.x - x) * p0.y) / (p1.x - p0.x)
break
}
}
//check, 有檢核x是否超過上下限, 此處應該不會用到
if (r === null) {
return {
err: outOfXRange
}
}
return r
}
function interp1Stairs(ps, x, opt = {}) {
//每個點為bar中點, 尋找x所在之bar值(y)
//xMin, 擴充最小x值範圍
let xMin = get(opt, 'xMin')
if (isNumber(xMin)) {
//外部已確保x為遞增
if (xMin > ps[0].x) {
return {
err: `xMin=${xMin} > ps[0].x=${ps[0].x}`
}
}
else if (xMin === ps[0].x) {
//不用擴充
}
else {
let p = {
x: xMin,
y: ps[0].y, //使用第一筆數據y
}
ps = [p, ...ps] //遞增數據得添加xMin於最前
}
}
//xMax, 擴充最大x值範圍
let xMax = get(opt, 'xMax')
if (isNumber(xMax)) {
//外部已確保x為遞增
if (xMax < ps[size(ps) - 1].x) {
return {
err: `xMax=${xMax} < ps[size(ps)-1].x=${ps[size(ps) - 1].x}`
}
}
else if (xMax === ps[size(ps) - 1].x) {
//不用擴充
}
else {
let p = {
x: xMax,
y: ps[size(ps) - 1].y, //使用最後一筆數據y
}
ps = [...ps, p] //遞增數據得添加xMax於最後
}
}
//checkLimit
let cl = checkLimit(ps, x)
if (cl !== inXRange) {
return cl
}
//r
let r = null
for (let i = 0; i < size(ps); i++) {
let p0 = get(ps, i - 1, null)
let p1 = get(ps, i, null)
let p2 = get(ps, i + 1, null)
let x0 = p1.x
if (p0) {
x0 = (p0.x + p1.x) / 2 //若有前者, 則取前者與自己x的平均值作為起點
}
let x1 = p1.x
if (p2) {
x1 = (p2.x + p1.x) / 2 //若有後者, 則取後者與自己x的平均值作為終點
}
if (x0 <= x && x <= x1) {
r = p1.y
break
}
}
//check, 有檢核x是否超過上下限, 此處應該不會用到
if (r === null) {
return {
err: outOfXRange
}
}
return r
}
function interp1Blocks(ps, x) {
//第1點為起點, 其餘各點為各bar終點, 尋找x所在之bar值(y)
//checkLimit
let cl = checkLimit(ps, x)
if (cl !== inXRange) {
return cl
}
//r
let r = null
for (let i = 1; i < size(ps); i++) {
let p0 = ps[i - 1]
let p1 = ps[i]
let x0 = p0.x
let x1 = p1.x
if (x0 <= x && x <= x1) {
r = p1.y
break
}
}
//check, 有檢核x是否超過上下限, 此處應該不會用到
if (r === null) {
return {
err: outOfXRange
}
}
return r
}
/**
* 一維數據內插
*
* Unit Test: {@link https://github.com/yuda-lyu/wsemi/blob/master/test/interp1.test.mjs Github}
* @memberOf wsemi
* @param {Array} ps 輸入一維數據，格式可支援兩種，第一種各點為陣列[[x1,y1],[x2,y2],...]，例如[[0.1,5],[0.2,12],...]，第二種各點為物件，屬性至少要有x與y，格式為[{x:x1,y:y1},{x:x2,y:y2},...]，例如[{x:0.1,y:5},{x:0.2,y:12},...]，key值x與y可由opt更換
* @param {Number} x 輸入要內插點的x值
* @param {Object} [opt={}] 輸入設定物件，預設{}
* @param {String} [opt.mode=''] 輸入內插方法，可選'linear'、'stairs'、'blocks'，預設'linear'
* @param {String} [opt.keyX='x'] 輸入若數據為物件陣列，取物件x值時的key字串，預設為'x'
* @param {String} [opt.keyY='y'] 輸入若數據為物件陣列，取物件y值時的key字串，預設為'y'
* @param {Number} [opt.xMin=undefined] 輸入若mode='stairs'，更改x範圍下限值，預設為undefined
* @param {Number} [opt.xMax=undefined] 輸入若mode='stairs'，更改x範圍上限值，預設為undefined
* @returns {Number|Object} 回傳內插結果數值，或是無法內插時之錯誤訊息物件
* @example
*
* let r
* let x
*
* let ps = [
* { x: 1, y: 0.2 },
* { x: 3, y: 1.2 },
* { x: 4, y: 2 },
* ]
*
* let psInv = [
* { x: 4, y: 2 },
* { x: 3, y: 1.2 },
* { x: 1, y: 0.2 },
* ]
*
* let psErr = [
* { x: 'a', y: 0.2 },
* { x: 'mnop', y: 1.2 },
* { x: 'xyz', y: 2 },
* ]
*
* let psEmpty = [
* ]
*
* let psEffOne = [
* { x: 1, y: 0.2 },
* { x: 'mnop', y: 1.2 },
* { x: 'xyz', y: 2 },
* ]
*
* let psP = [
* { a: 1, b: 0.2 },
* { a: 3, b: 1.2 },
* { a: 4, b: 2 },
* ]
*
* let opt = {
* mode: 'stairs',
* }
*
* let optX = {
* mode: 'stairs',
* xMin: 0,
* xMax: 4.5,
* }
*
* let optP = {
* keyX: 'a',
* keyY: 'b',
* }
*
* x = 0
* r = interp1(psErr, x)
* console.log(`linear(error data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(error data): x=0 r={"err":"ps(length=0) is not an effective array","ps":[{"x":"a","y":0.2},{"x":"mnop","y":1.2},{"x":"xyz","y":2}],"psEff":[]}
*
* x = 0
* r = interp1(psEmpty, x)
* console.log(`linear(empty data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(empty data): x=0 r={"err":"ps(length=0) is not an effective array","ps":[],"psEff":[]}
*
* x = 0
* r = interp1(psEffOne, x)
* console.log(`linear(one point): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(one point): x=0 r={"err":"ps(length=1) is one point only","ps":[{"x":1,"y":0.2},{"x":"mnop","y":1.2},{"x":"xyz","y":2}],"psEff":[{"x":1,"y":0.2}]}
*
* x = 0
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=0 r={"err":"x[0] less than lower limit[1]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":0,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 1
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=1 r=0.2
*
* x = 2
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=2 r=0.7
*
* x = 2.6
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=2.6 r=1
*
* x = 3
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=3 r=1.2
*
* x = 3.5
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=3.5 r=1.6
*
* x = 4
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=4 r=2
*
* x = 5
* r = interp1(ps, x)
* console.log(`linear: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=5 r={"err":"x[5] greater than upper limit[4]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":5,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 0
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=0 r={"err":"x[0] less than lower limit[1]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":0,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 1
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=1 r=0.2
*
* x = 2
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=2 r=0.7
*
* x = 2.6
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=2.6 r=1
*
* x = 3
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=3 r=1.2
*
* x = 3.5
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=3.5 r=1.6
*
* x = 4
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear(inverse data): x=4 r=2
*
* x = 5
* r = interp1(psInv, x)
* console.log(`linear(inverse data): x=${x}`, 'r=' + JSON.stringify(r))
* // => linear: x=5 r={"err":"x[5] greater than upper limit[4]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":5,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = -1
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=-1 r={"err":"x[-1] less than lower limit[1]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":-1,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 0.51
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=0.51 r={"err":"x[0.51] less than lower limit[1]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":0.51,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 1
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=1 r=0.2
*
* x = 1.9
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=1.9 r=0.2
*
* x = 2
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=2 r=0.2
*
* x = 2.1
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=2.1 r=1.2
*
* x = 2.5
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=2.5 r=1.2
*
* x = 3
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=3 r=1.2
*
* x = 3.49
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=3.49 r=1.2
*
* x = 3.5
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=3.5 r=1.2
*
* x = 3.51
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=3.51 r=2
*
* x = 4
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=4 r=2
*
* x = 4.5
* r = interp1(ps, x, opt)
* console.log(`stairs: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs: x=4.5 r={"err":"x[4.5] greater than upper limit[4]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":4.5,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = -1
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=-1 r={"err":"x[-1] less than lower limit[0]","data":{"ps":[{"x":0,"y":0.2},{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2},{"x":4.5,"y":2}],"x":-1,"trend":"increasing sequence","xmin":0,"xmax":4.5}}
*
* x = 0
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=0 r=0.2
*
* x = 0.49
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=0.49 r=0.2
*
* x = 0.5
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=0.5 r=0.2
*
* x = 0.51
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=0.51 r=0.2
*
* x = 1
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=1 r=0.2
*
* x = 1.9
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=1.9 r=0.2
*
* x = 2
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=2 r=0.2
*
* x = 2.1
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=2.1 r=1.2
*
* x = 2.5
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=2.5 r=1.2
*
* x = 3
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=3 r=1.2
*
* x = 3.49
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=3.49 r=1.2
*
* x = 3.5
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=3.5 r=1.2
*
* x = 3.51
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=3.51 r=2
*
* x = 4
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=4 r=2
*
* x = 4.49
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=4.49 r=2
*
* x = 4.5
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=4.5 r=2
*
* x = 4.51
* r = interp1(ps, x, optX)
* console.log(`stairs with x-limit: x=${x}`, 'r=' + JSON.stringify(r))
* // => stairs with x-limit: x=4.51 r={"err":"x[4.51] greater than upper limit[4.5]","data":{"ps":[{"x":0,"y":0.2},{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2},{"x":4.5,"y":2}],"x":4.51,"trend":"increasing sequence","xmin":0,"xmax":4.5}}
*
* x = 0
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=0 r={"err":"x[0] less than lower limit[1]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":0,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
* x = 1
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=1 r=0.2
*
* x = 2
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=2 r=0.7
*
* x = 2.6
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=2.6 r=1
*
* x = 3
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=3 r=1.2
*
* x = 3.5
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=3.5 r=1.6
*
* x = 4
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=4 r=2
*
* x = 5
* r = interp1(psP, x, optP)
* console.log(`linear by keyX & keyY: x=${x}`, 'r=' + JSON.stringify(r))
* // => linear by keyX & keyY: x=5 r={"err":"x[5] greater than upper limit[4]","data":{"ps":[{"x":1,"y":0.2},{"x":3,"y":1.2},{"x":4,"y":2}],"x":5,"trend":"increasing sequence","xmin":1,"xmax":4}}
*
*/
function interp1(ps, x, opt = {}) {
//check
if (!isarr(ps)) {
return {
err: 'ps is not an array'
}
}
if (!isNumber(x)) {
return {
err: 'x is not a number'
}
}
//toArrayXY
let psEff = toArrayXY(ps, opt)
//check
if (get(psEff, 'err')) {
return get(psEff, 'err')
}
//check
if (size(psEff) === 0) {
return {
err: 'ps(length=0) is not an effective array',
ps,
psEff,
}
}
else if (size(psEff) === 1) {
return {
err: 'ps(length=1) is one point only',
ps,
psEff,
}
}
//checkIncrea
let trend = checkTrend(psEff)
//check
if (trend === 'no') {
return {
err: 'psEff is not increasing or decreasing'
}
}
//反序
if (trend === reverseOrderList) {
trend = orderList
psEff = reverse(psEff)
}
//mode
let mode = get(opt, 'mode')
if (mode !== 'linear' && mode !== 'stairs' && mode !== 'blocks') {
mode = 'linear'
}
try {
if (mode === 'linear') {
return interp1Linear(psEff, x)
}
else if (mode === 'blocks') {
return interp1Blocks(psEff, x)
}
else if (mode === 'stairs') {
return interp1Stairs(psEff, x, opt)
}
}
catch (err) {
return {
err: err.toString(),
}
}
}
export default interp1
</code></pre>
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