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triples.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, height=device-height, initial-scale=1.0">
<title>Sum of Square</title>
<style>
.collapse {
transition-duration: 0;
}
.subcheckbox:not(:checked) {
background-color: rgba(170, 160, 160, 0.464);
border-color: rgba(170, 160, 160, 0.464);
}
.customized_scrollbar{
overflow-y: auto;
scrollbar-width: thin;
scrollbar-color: #54c3e8 transparent;
}
.customized_scrollbar::-webkit-scrollbar {
width: 5px;
}
.customized_scrollbar::-webkit-scrollbar-track {
background: transparent;
}
.customized_scrollbar::-webkit-scrollbar-thumb {
background-color: #54c3e8;
border-radius: 4px;
}
.coeff-label3d {
transition: opacity 0.2s; /* Smooth transition for opacity changes */
}
.hover_text {
color: black;
}
.hover_text:hover {
color: rgb(19,135,245);
cursor: pointer;
}
/* Define relative position for the button */
.config-dropdown {
position: relative;
display: inline-block;
}
.dropdown_item {
position: relative;
display: inline-block;
}
/* Position the menu and hide it initially */
.submenu {
position: absolute;
bottom: 100%; /* Moves menu above the button */
left: 0;
display: none;
min-width: 200px;
background: #ffffff;
border: 1px solid #ddd;
box-shadow: 0px 4px 8px rgba(0, 0, 0, 0.1);
margin-bottom: 8px; /* Optional space between button and menu */
}
</style>
<!-- <script src="https://requirejs.org/docs/release/2.3.6/minified/require.js"></script> -->
<!-- <script async src="https://cdn.bootcdn.net/ajax/libs/axios/0.21.1/axios.min.js"></script> -->
<!-- <script async src="https://cdn.socket.io/4.0.0/socket.io.min.js"></script> -->
<!-- <link href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0-alpha1/dist/css/bootstrap.min.css" rel="stylesheet"> -->
<!-- <script src="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0-alpha1/dist/js/bootstrap.bundle.min.js"></script> -->
<!-- <script type="text/javascript" id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-svg.js"></script> -->
<!-- <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> -->
<!-- <script src="https://cdnjs.cloudflare.com/ajax/libs/html2canvas/0.4.1/html2canvas.min.js"></script> -->
<!-- load from static -->
<script src="static/js/axios.min.js"></script>
<script src="static/js/socket.io.min.js"></script>
<script src="static/js/bootstrap.bundle.min.js"></script>
<script src="static/js/tex-svg.js"></script>
<script src="static/js/html2canvas.min.js"></script>
<script src="static/js/three.min.js"></script>
<script src="static/js/three.OrbitControls.js"></script>
<link href="static/css/bootstrap.min.css" rel="stylesheet">
</head>
<body>
<div id="frontpage"
style="width: 100%;height: 100%;max-width: 1280px;max-height: 720px;position: absolute; display: flex; background: rgb(240,240,240);">
<div id="frontpageleft" style="width: 24%; margin-right: 0.5%; height: 100%; position: relative;
font-size: 14px;
border-right: 2px solid rgb(220,220,220); background: rgb(255,255,255)">
<!-- <div id="variables" style="width: 100%; height: 28px; text-align: left; display: inline-block;
background: -webkit-linear-gradient(top, rgb(247,247,247),rgb(234,234,234));
color: black; vertical-align: middle; border-bottom: 1px solid rgb(216,216,216); font-size: 19px;">
  ·  Variables</div> -->
<div id="settings" style="width:100%; height: 37%;">
<!-- <div id="settings_head" style="width: 100%; height: 28px; text-align: left; display: inline-block;
background: -webkit-linear-gradient(top, rgb(247,247,247),rgb(234,234,234));
color: black; vertical-align: middle; border-bottom: 1px solid rgb(216,216,216); font-size: 19px;">
  ·  Settings
</div> -->
<hr style="width: 90%; margin-left: 10px; margin-top: 10px; margin-bottom: 5px;">
<div id="setting_history" style="font-size: 17px;">  ·  Settings</div>
<div id="setting_methods" class="customized_scrollbar" style="margin-left: 10px; width:90%; height:80%;">
<div class="form-check" style="margin-top: 5px">
<input class="form-check-input" type="checkbox" value="" id="setting_method_use_StructuralSOS" checked>
<label class="form-check-label" for="setting_method_use_StructuralSOS">Use Structural SOS</label>
<input type="checkbox" class="collapse-toggle visually-hidden" id="setting_method_StructuralSOS_switch" data-bs-toggle="collapse" data-bs-target="#setting_method_StructuralSOS_menu" width="0">
<label for="setting_method_StructuralSOS_switch" class="collapse-label">
<span class="me-2">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-chevron-right" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M5.646 4.646a.5.5 0 0 1 .708 0L10 8.293l3.646-3.647a.5.5 0 1 1 .708.708l-4 4a.5.5 0 0 1-.708 0l-4-4a.5.5 0 0 1 0-.708z"/>
</svg>
</span>
</label>
<div class="collapse" id="setting_method_StructuralSOS_menu" style="margin-left: 10px; margin-top: 3px; font-size: 13px;">
<input class="form-check-input subcheckbox" type="checkbox" value="" id="setting_method_StructuralSOS_real" checked>
<label class="form-check-label" for="setting_method_StructuralSOS_real">Real Numbers</label>
</div>
</div>
<div class="form-check" style="margin-top: 4px;">
<input class="form-check-input" type="checkbox" value="" id="setting_method_use_LinearSOS" checked>
<label class="form-check-label" for="setting_method_use_LinearSOS">Use Linear SOS</label>
</div>
<div class="form-check" style="margin-top: 4px">
<input class="form-check-input" type="checkbox" value="" id="setting_method_use_SymmetricSOS" checked>
<label class="form-check-label" for="setting_method_use_SymmetricSOS">Use Symmetric SOS</label>
</div>
<div class="form-check" style="margin-top: 4px">
<input class="form-check-input" type="checkbox" value="" id="setting_method_use_SDPSOS" checked>
<label class="form-check-label" for="setting_method_use_SDPSOS">Use SDP SOS</label>
<input type="checkbox" class="collapse-toggle visually-hidden" id="setting_method_SDPSOS_switch" data-bs-toggle="collapse" data-bs-target="#setting_method_SDPSOS_menu" width="0">
<!-- <label for="setting_method_SDPSOS_switch" class="collapse-label">
<span class="me-2">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-chevron-right" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M5.646 4.646a.5.5 0 0 1 .708 0L10 8.293l3.646-3.647a.5.5 0 1 1 .708.708l-4 4a.5.5 0 0 1-.708 0l-4-4a.5.5 0 0 1 0-.708z"/>
</svg>
</span>
</label> -->
<!-- <div class="collapse" id="setting_method_SDPSOS_menu" style="margin-left: 10px; margin-top: 3px; font-size: 15px;"> -->
<!-- <label class="form-check-label" for="setting_method_SDPSOS_allow_numer">Accept Numerical Solution</label>
<input class="form-check-input subcheckbox" type="checkbox" value="" id="setting_method_SDPSOS_allow_numer"> -->
<!-- <label class="form-check-label" for="setting_method_SDPSOS_reduced_decompose">Use Reduced Decomposition</label>
<input class="form-check-input subcheckbox" type="checkbox" value="" id="setting_method_SDPSOS_reduced_decompose"> -->
<!-- <div class="btn-group" role="group" aria-label="Basic radio toggle button group">
<input type="radio" class="btn-check" name="btnradio" id="btnradio1" autocomplete="off" checked>
<label class="btn btn-outline-primary" for="btnradio1">Reduce</label>
<input type="radio" class="btn-check" name="btnradio" id="btnradio2" autocomplete="off">
<label class="btn btn-outline-primary" for="btnradio2">Full</label>
</div> -->
<!-- </div> -->
</div>
<!-- <input type="checkbox" id="setting_method_use_StructuralSOS" checked="checked" style="font-size: 14px; margin-top: 10px; width: 80%" > Use Structural SOS</input>
<input type="checkbox" id="setting_method_use_LinearSOS" checked="checked" style="font-size: 14px; margin-top: 10px; width: 80%" > Use Linear SOS</input>
<input type="checkbox" id="setting_method_use_SymmetricSOS" checked="checked" style="font-size: 14px; margin-top: 10px; width: 80%" > Use Symmetric SOS</input> -->
</div>
</div>
<hr style="width: 90%; margin-left: 10px; margin-top: 10px; margin-bottom: 5px;">
<div id="history_area" style="width:100%; height: 40%;">
<div id="history_hint" style="font-size: 17px;">  ·  History</div>
<div id="history_panel" class="customized_scrollbar" style=" width: 90%; height: 85%; margin-left:10px; margin-top: 4px;">
<!-- THIS IS HISTORY -->
</div>
</div>
<hr style="width: 90%; margin-left: 10px; margin-top: 10px; margin-bottom: 10px;">
<div id="settings_gens_perms" style="height: 23%; margin-left:10px; font-size: 12px;">
<div class="row align-items-center" style="font-size: 12px;">
<div class="col-4">
<label for="generatorsInput">Generators</label>
</div>
<div class="col-6">
<input type="text" class="form-control" id="setting_gens_input" value="abc" style="height:23px;font-size:12px;">
</div>
</div>
<div class="row" style="font-size: 12px; margin-top: 6px;">
<div class="col-4">
<label for="setting_perm">Permutation</label>
</div>
<!-- <div class="col-1"></div> -->
<div class="col-2">
<div class="form-check form-check-inline">
<input class="form-check-input" type="radio" name="setting_perm" id="setting_perm_cyc" value="cyc" onclick="setPermChange()" checked>
<label class="form-check-label" for="cyclicRadio">Cyc</label>
</div>
</div>
<div class="col-2">
<div class="form-check form-check-inline">
<input class="form-check-input" type="radio" name="setting_perm" id="setting_perm_sym" value="sym" onclick="setPermChange()">
<label class="form-check-label" for="symmetricRadio">Sym</label>
</div>
</div>
<div class="col-2">
<div class="form-check form-check-inline">
<input class="form-check-input" type="radio" name="setting_perm" id="setting_perm_custom" value="custom" onclick="setPermChange()">
<label class="form-check-label" for="customRadio">Custom</label>
</div>
</div>
</div>
<div class="row" style="font-size: 12px;">
<div class="col-4"></div>
<div class="col-6">
<input type="text" class="form-control" id="setting_perm_input" value="[[1,2,0]]" style="height:23px;font-size: 12px;" disabled>
</div>
</div>
</div>
<div id="advertisement" style="position: absolute; left: 5px; bottom: 2%; text-align: left; vertical-align: baseline; font-size: 12px">
<!-- <a href = "https://github.com/ForeverHaibara/Triple-SOS">GitHub</a> QQ 875413273 -->
<a href="https://github.com/ForeverHaibara/Triple-SOS" target="_blank" style="margin-left: 5px; text-decoration: none;">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="black" class="bi bi-github" viewBox="0 0 16 16">
<path d="M8 0C3.58 0 0 3.58 0 8c0 3.54 2.29 6.53 5.47 7.59.4.07.55-.17.55-.38 0-.19-.01-.82-.01-1.49-2.01.37-2.53-.49-2.69-.94-.09-.23-.48-.94-.82-1.13-.28-.15-.68-.52-.01-.53.63-.01 1.08.58 1.23.82.72 1.21 1.87.87 2.33.66.07-.52.28-.87.51-1.07-1.78-.2-3.64-.89-3.64-3.95 0-.87.31-1.59.82-2.15-.08-.2-.36-1.02.08-2.12 0 0 .67-.21 2.2.82.64-.18 1.32-.27 2-.27.68 0 1.36.09 2 .27 1.53-1.04 2.2-.82 2.2-.82.44 1.1.16 1.92.08 2.12.51.56.82 1.27.82 2.15 0 3.07-1.87 3.75-3.65 3.95.29.25.54.73.54 1.48 0 1.07-.01 1.93-.01 2.2 0 .21.15.46.55.38A8.012 8.012 0 0 0 16 8c0-4.42-3.58-8-8-8z"/>
</svg>
</a>
<a target="_blank" href="https://qm.qq.com/cgi-bin/qm/qr?k=8tjgp8Uo2WMqfOIGa7J68rvMMomUvl-s&jump_from=webapi&authKey=CO+CKU8hKPzSNMm1dvgGypGZE6H5TwGjaRxAW6XjtTQT2zy/tZCzvJv9yC4oH10G" style="margin-left: 5px; text-decoration: none;">
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<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(220,53,69)" class="bi bi-file-earmark-pdf-fill" viewBox="0 0 16 16">
<path d="M5.523 12.424c.14-.082.293-.162.459-.238a7.878 7.878 0 0 1-.45.606c-.28.337-.498.516-.635.572a.266.266 0 0 1-.035.012.282.282 0 0 1-.026-.044c-.056-.11-.054-.216.04-.36.106-.165.319-.354.647-.548zm2.455-1.647c-.119.025-.237.05-.356.078a21.148 21.148 0 0 0 .5-1.05 12.045 12.045 0 0 0 .51.858c-.217.032-.436.07-.654.114zm2.525.939a3.881 3.881 0 0 1-.435-.41c.228.005.434.022.612.054.317.057.466.147.518.209a.095.095 0 0 1 .026.064.436.436 0 0 1-.06.2.307.307 0 0 1-.094.124.107.107 0 0 1-.069.015c-.09-.003-.258-.066-.498-.256zM8.278 6.97c-.04.244-.108.524-.2.829a4.86 4.86 0 0 1-.089-.346c-.076-.353-.087-.63-.046-.822.038-.177.11-.248.196-.283a.517.517 0 0 1 .145-.04c.013.03.028.092.032.198.005.122-.007.277-.038.465z"/>
<path fill-rule="evenodd" d="M4 0h5.293A1 1 0 0 1 10 .293L13.707 4a1 1 0 0 1 .293.707V14a2 2 0 0 1-2 2H4a2 2 0 0 1-2-2V2a2 2 0 0 1 2-2zm5.5 1.5v2a1 1 0 0 0 1 1h2l-3-3zM4.165 13.668c.09.18.23.343.438.419.207.075.412.04.58-.03.318-.13.635-.436.926-.786.333-.401.683-.927 1.021-1.51a11.651 11.651 0 0 1 1.997-.406c.3.383.61.713.91.95.28.22.603.403.934.417a.856.856 0 0 0 .51-.138c.155-.101.27-.247.354-.416.09-.181.145-.37.138-.563a.844.844 0 0 0-.2-.518c-.226-.27-.596-.4-.96-.465a5.76 5.76 0 0 0-1.335-.05 10.954 10.954 0 0 1-.98-1.686c.25-.66.437-1.284.52-1.794.036-.218.055-.426.048-.614a1.238 1.238 0 0 0-.127-.538.7.7 0 0 0-.477-.365c-.202-.043-.41 0-.601.077-.377.15-.576.47-.651.823-.073.34-.04.736.046 1.136.088.406.238.848.43 1.295a19.697 19.697 0 0 1-1.062 2.227 7.662 7.662 0 0 0-1.482.645c-.37.22-.699.48-.897.787-.21.326-.275.714-.08 1.103z"/>
</svg>
</a>
</div>
</div>
<div id="frontpagemid" style="width: 50%; height: 100%; position: relative">
<div id="inputs" style="width: 100%; height: 5%; margin-top: 1%">
<input type="text" id="input_poly" name="poly" style="border: 1px solid black; border-radius: 8px;
width: 99%; height: 100%; padding-left: 1%; font-size: small;" autocomplete="off"
onkeyup="if(event.keyCode==13) {preprocessInput();}"></input><br>
<!-- <input type="submit" value="提交"> -->
</div>
<div id="centerscreen" style="width: 100%; height: 90%; margin-top: 1.5%; border-style: solid;border-color: gray;
background: transparent; ">
<div id="coeffs" style="width: 100%; height: 100%; position: relative;">
</div>
<div id="polytools" style="position: absolute; bottom: 2%; left: 8px;">
<div id="polytools_btns" style="margin-bottom: 5%">
<button type="button" class="btn btn-outline-secondary" id="polytools_rotate" onclick="PolyTools('rotate');">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-arrow-clockwise" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M8 3a5 5 0 1 0 4.546 2.914.5.5 0 0 1 .908-.417A6 6 0 1 1 8 2v1z"/>
<path d="M8 4.466V.534a.25.25 0 0 1 .41-.192l2.36 1.966c.12.1.12.284 0 .384L8.41 4.658A.25.25 0 0 1 8 4.466z"/>
</svg>
<!-- <span class="visually-hidden">Rotate</span> -->
</button>
<button type="button" class="btn btn-outline-secondary" id="polytools_rotate_reflect" onclick="PolyTools('rotate_reflect');">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-arrow-counterclockwise" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M8 3a5 5 0 1 1-4.546 2.914.5.5 0 0 0-.908-.417A6 6 0 1 0 8 2v1z"/>
<path d="M8 4.466V.534a.25.25 0 0 0-.41-.192L5.23 2.308a.25.25 0 0 0 0 .384l2.36 1.966A.25.25 0 0 0 8 4.466z"/>
</svg>
<!-- <span class="visually-hidden">IRotate</span> -->
</button>
<button type="button" class="btn btn-outline-secondary" id="polytools_reflect" onclick="PolyTools('reflect');">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-arrow-left-right" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M1 11.5a.5.5 0 0 0 .5.5h11.793l-3.147 3.146a.5.5 0 0 0 .708.708l4-4a.5.5 0 0 0 0-.708l-4-4a.5.5 0 0 0-.708.708L13.293 11H1.5a.5.5 0 0 0-.5.5zm14-7a.5.5 0 0 1-.5.5H2.707l3.147 3.146a.5.5 0 1 1-.708.708l-4-4a.5.5 0 0 1 0-.708l4-4a.5.5 0 1 1 .708.708L2.707 4H14.5a.5.5 0 0 1 .5.5z"/>
</svg>
<!-- <span class="visually-hidden">Reflect</span> -->
</button>
<div class="dropdown_item">
<button type="button" class="btn btn-outline-secondary" id="polytools_factor" onclick="PolyTools('factor');">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-wrench-adjustable" viewBox="0 0 16 16">
<path d="M16 4.5a4.492 4.492 0 0 1-1.703 3.526L13 5l2.959-1.11c.027.2.041.403.041.61Z"/>
<path d="M11.5 9c.653 0 1.273-.139 1.833-.39L12 5.5 11 3l3.826-1.53A4.5 4.5 0 0 0 7.29 6.092l-6.116 5.096a2.583 2.583 0 1 0 3.638 3.638L9.908 8.71A4.49 4.49 0 0 0 11.5 9Zm-1.292-4.361-.596.893.809-.27a.25.25 0 0 1 .287.377l-.596.893.809-.27.158.475-1.5.5a.25.25 0 0 1-.287-.376l.596-.893-.809.27a.25.25 0 0 1-.287-.377l.596-.893-.809.27-.158-.475 1.5-.5a.25.25 0 0 1 .287.376ZM3 14a1 1 0 1 1 0-2 1 1 0 0 1 0 2Z"/>
</svg>
</button>
<!-- <span class="visually-hidden">Sort</span> -->
<div class="submenu" style="color:black; font-size: 14px; border-radius: 5px; text-align: left; min-width: 160px;">
<hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('abcd2xyzw')">ABCD ↔ XYZW</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('homogenize')">Homogenize</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('dehomogenize0')">Dehomogenize 0</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('dehomogenize1')">Dehomogenize 1</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('factor')">Factor</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('expand')">Expand</div><hr style="margin:7px;">
<div class="hover_text" style="padding-left: 20px;" onclick="PolyTools('expand full')">Expand Full</div><hr style="margin:7px;">
</div>
</div>
<button type="button" class="btn btn-outline-secondary" id="polytools_latex_coeffs" onclick="PolyTools('latex_coeffs');">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-clipboard" viewBox="0 0 16 16">
<path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/>
<path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/>
</svg>
<!-- <span class="visually-hidden">Copy</span> -->
</button>
<div class="dropdown_item">
<button id="polytools_config" class="btn btn-outline-secondary">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-gear" viewBox="0 0 16 16">
<path d="M8 4.754a3.246 3.246 0 1 0 0 6.492 3.246 3.246 0 0 0 0-6.492M5.754 8a2.246 2.246 0 1 1 4.492 0 2.246 2.246 0 0 1-4.492 0"/>
<path d="M9.796 1.343c-.527-1.79-3.065-1.79-3.592 0l-.094.319a.873.873 0 0 1-1.255.52l-.292-.16c-1.64-.892-3.433.902-2.54 2.541l.159.292a.873.873 0 0 1-.52 1.255l-.319.094c-1.79.527-1.79 3.065 0 3.592l.319.094a.873.873 0 0 1 .52 1.255l-.16.292c-.892 1.64.901 3.434 2.541 2.54l.292-.159a.873.873 0 0 1 1.255.52l.094.319c.527 1.79 3.065 1.79 3.592 0l.094-.319a.873.873 0 0 1 1.255-.52l.292.16c1.64.893 3.434-.902 2.54-2.541l-.159-.292a.873.873 0 0 1 .52-1.255l.319-.094c1.79-.527 1.79-3.065 0-3.592l-.319-.094a.873.873 0 0 1-.52-1.255l.16-.292c.893-1.64-.902-3.433-2.541-2.54l-.292.159a.873.873 0 0 1-1.255-.52zm-2.633.283c.246-.835 1.428-.835 1.674 0l.094.319a1.873 1.873 0 0 0 2.693 1.115l.291-.16c.764-.415 1.6.42 1.184 1.185l-.159.292a1.873 1.873 0 0 0 1.116 2.692l.318.094c.835.246.835 1.428 0 1.674l-.319.094a1.873 1.873 0 0 0-1.115 2.693l.16.291c.415.764-.42 1.6-1.185 1.184l-.291-.159a1.873 1.873 0 0 0-2.693 1.116l-.094.318c-.246.835-1.428.835-1.674 0l-.094-.319a1.873 1.873 0 0 0-2.692-1.115l-.292.16c-.764.415-1.6-.42-1.184-1.185l.159-.291A1.873 1.873 0 0 0 1.945 8.93l-.319-.094c-.835-.246-.835-1.428 0-1.674l.319-.094A1.873 1.873 0 0 0 3.06 4.377l-.16-.292c-.415-.764.42-1.6 1.185-1.184l.292.159a1.873 1.873 0 0 0 2.692-1.115z"/>
</svg>
</button>
<div class="submenu p-3" style="color:black; font-size: 14px; border-radius: 5px;" id="submenu_config">
<!-- Sliders or other controls go here -->
<label for="config_3D_PointSize">3D Point Size</label>
<input type="range" id="config_3D_PointSize" min="1" max="300" value="50"> <!-- Multiplied by 1000 -->
<label for="config_3D_HeatmapOpacity" class="mt-2">3D Heatmap Opacity</label>
<input type="range" id="config_3D_HeatmapOpacity" min="0" max="100" value="25">
</div>
</div>
</div>
</div>
<div id="rootsinfo" style="position: absolute; right: 7px; bottom: 3%; text-align: right; vertical-align: baseline; font-size: 12px">
</div>
</div>
</div>
<div id="frontpageright" style="width: 22%; height: 100%; margin-left: 1.5%;">
<div id="heatmap_area" style="width: 90%; height: 40%; margin-left: 5%; position:relative;">
<div id="heatmap" style="width: 100%; height: 100%; top: 0; left: 0; position:absolute;">
</div>
<!-- <button onclick="HeatmapScreenShot()" style="position:a">Take Screenshot</button> -->
<button type="button" class="btn btn-outline-primary" id="heatmap_screenshot_button" onclick="HeatmapScreenShot();" style="bottom:0;right:0;position:absolute;">
<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-save" viewBox="0 0 16 16">
<path d="M2 1a1 1 0 0 0-1 1v12a1 1 0 0 0 1 1h12a1 1 0 0 0 1-1V2a1 1 0 0 0-1-1H9.5a1 1 0 0 0-1 1v7.293l2.646-2.647a.5.5 0 0 1 .708.708l-3.5 3.5a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L7.5 9.293V2a2 2 0 0 1 2-2H14a2 2 0 0 1 2 2v12a2 2 0 0 1-2 2H2a2 2 0 0 1-2-2V2a2 2 0 0 1 2-2h2.5a.5.5 0 0 1 0 1H2z"/>
</svg>
<span class="visually-hidden">Button</span>
</button>
</div>
<button id="sumofsquare"
style="width: 90%; height: 5%; margin-left: 5%; margin-top: 2%; position: relative;
font-size: small;
background: linear-gradient(to bottom, rgb(247,247,247),rgb(221,221,221));
border: 1px solid; border-color: rgba(200,200,200); color: rgb(60,60,60)"
onmouseover="this.style.background = 'linear-gradient(to bottom, rgb(247,247,247),rgb(230,230,230))';
this.style.color = 'rgb(0,0,0)';"
onmouseleave="this.style.background = 'linear-gradient(to bottom, rgb(247,247,247),rgb(221,221,221))';
this.style.color = 'rgb(60,60,60)';"
onclick="SumOfSquare();"
>
Sum of Square
</button>
<div id="tangents" style="width: 96%; height: 20%; margin-left: 2%; margin-top: 4%">
<textarea id="input_tangents" style="border: 1px solid black; border-radius: 8px; font-family:'Times New Roman', Times, serif;
width: 99%; height: 100%; padding-left: 1%; resize: none; font-size: small;" ></textarea>
</div>
<div id="outputs" style="width: 96%; height: 25%; margin-left: 2%; margin-top: 6%; ">
<div id="output_types" style="width: 99%; height: 20%;">
<!-- <button id="output_showlatex" style="width:31%;height:100%;margin-left:2%;">LaTeX</button>
<button id="output_showtxt" style="width:31%;height:100%">txt</button>
<button id="output_showformatted" style="width:31%;height:100%">formatted</button> -->
<div class="hover_text" id="output_showlatex" style="width:30%;height:99%;margin-left:3%;display:inline-block;text-align:center;padding-top: 2%;
color:rgb(41,50,225);border-bottom: 2px solid blue;"
onclick = "changeShowType('latex')">LaTeX</div>
<div class="hover_text" id="output_showtxt" style="width:30%;height:99%;display:inline-block;text-align:center;padding-top: 2%;"
onclick = "changeShowType('txt')">txt</div>
<div class="hover_text" id="output_showformatted" style="width:33%;height:99%;display:inline-block;text-align:center;padding-top: 2%;"
onclick = "changeShowType('formatted')">formatted</div>
</div>
<textarea id="output_result" style="border: 1px solid black; border-radius: 8px; font-family:'Times New Roman', Times, serif;
width: 99%; height: 82.5%; padding-left: 1%; margin-top: 3%; resize: none; font-size: small;" readonly="readonly"></textarea>
</div>
</div>
<div id="shadow" hidden="hidden" style="width: 100%; height: 100%; position: absolute; top: 0px; left: 0px; background: rgba(0,0,0,0.59)">
<div id="shadow_box" hidden="hidden" style="font-size: 15px; background-color: white; width: 80%; height: 80%; top: 10%; left: 10%; position: absolute;
border: 2px solid blue; border-radius: 5px; text-align: center;"></div>
</div>
</div>
</body>
<script>
// initialization
const host = 'http://127.0.0.1:5000';
// const host = 'https://sos.bailili.top';
var sos_poly = '';
var sos_coeffs = [];
var sos_deg = 0;
var sos_results = {latex: '', txt: '', formatted: '', show: 'latex', displaying: 0};
var sos_variables = {names: [], range: [[-5,0,5],[-5,0,5],[-5,0,5]]};
// heatmap triangle
var heatmap_grids = [];
const heatmap_gridsize = 60;
{
let heatmap_view = document.getElementById('heatmap');
const l = 98. / heatmap_gridsize; // length of each samll equilateral triangle
const ulx = (50 - l * heatmap_gridsize / 2), uly = (35 - 13 * heatmap_gridsize * l / 45);
const coor_map = (i, j) => { // coordinate of the j-th entry of row i
return 'left:' + (ulx + l*(i+j*2-1)/2) + '%;top:' + (uly + l*i*13/15) + '%;';
}
for (let i=0;i<=heatmap_gridsize;++i){
for (let j=0;j<=i;++j){
let heatmap_grid = document.createElement('div')
heatmap_view.appendChild(heatmap_grid)
let coor = coor_map(j,i-j);
heatmap_grid.setAttribute('style', 'position:absolute;' + coor
+'height:'+l+'%'+';width:'+l+'%;background:white');
heatmap_grids.push(heatmap_grid);
}
}
}
function CreateVariables(){
const n = sos_variables.names.length;
for (let i = 0; i < n; ++i){
let variable = document.createElement('div');
document.getElementById('frontpageleft').appendChild(variable);
variable.setAttribute('style', 'width: 100%; height: 10%;');
variable.innerHTML = '<br> ' + sos_variables.names[i];
if (i % 2 === 1){
variable.style.backgroundColor = 'rgb(245,245,245)';
}else{
variable.style.backgroundColor = 'rgb(255,255,255)';
}
}
}
CreateVariables();
</script>
<script src="static/js/visualization.js"></script>
<script src="static/js/history.js"></script>
<script src="static/js/on_change.js"></script>
<script src="static/js/socket.js"></script>
<script>
function preprocessInput(kwargs){
const input_poly = document.getElementById('input_poly').value.trim();
if ((input_poly.length === 0)||(!/^[\x00-\x7F]*$/.test(input_poly))){
return;
}
const cur_data = {
poly: input_poly,
gens: document.getElementById('setting_gens_input').value,
perm_choice: document.querySelector('input[name="setting_perm"]:checked').value,
perm: document.getElementById('setting_perm_input').value,
// timestamp: timestamp
};
const parse_undefined = (x, y) => {return typeof(x) === 'undefined'? y: x;}
kwargs = parse_undefined(kwargs, {});
if ((!isSameHistoryRecord(cur_data))||(kwargs.homogenize===true)||(kwargs.dehomogenize!==undefined)){
// when there is homogenization / dehomogenization, the poly might change and we make a copy
cur_data.timestamp = Date.now();
// push to front
history_data.unshift(cur_data);
if (history_data.length > 100){
history_data.pop();
}
updateHistoryData();
}else{
cur_data.timestamp = history_data[0].timestamp;
}
let actions = parse_undefined(kwargs.actions, ['findroot']);
kwargs.actions = actions
kwargs.standardize_text = parse_undefined(kwargs.standardize_text, false);
// update the cur_data to kwargs
Object.entries(cur_data).forEach(([key, value]) => { kwargs[key] = value; });
connectSocket(() => {
if (socket === null){
return changeNumOfSOS(0);
}
kwargs.sid = socket.id;
sos_poly = input_poly;
axios.post(host + '/process/preprocess', kwargs
).then(res => {
if (Object.keys(res.data).length === 0){
return;
}
res.data.gens = kwargs.gens;
renderVisualization(res.data);
// write to the record
setHistoryByTimestamp(cur_data.timestamp, 'vis', res.data);
}).catch(error => {
// console.log(axios.isAxiosError(error), error.message);
if (axios.isAxiosError(error) && (error.message === 'Network Error')) {
changeNumOfSOS(0);
}
});
});
};
function SumOfSquare(){
document.getElementById("sumofsquare").blur();
changeNumOfSOS(sos_work.num + 1);
const input_poly = document.getElementById('input_poly').value;
const tangents = document.getElementById('input_tangents').value;
const methods = {
StructuralSOS: document.getElementById("setting_method_use_StructuralSOS").checked,
LinearSOS: document.getElementById("setting_method_use_LinearSOS").checked,
SymmetricSOS: document.getElementById("setting_method_use_SymmetricSOS").checked,
SDPSOS: document.getElementById("setting_method_use_SDPSOS").checked,
}
const configs = {
StructuralSOS:{
real: document.getElementById("setting_method_StructuralSOS_real").checked,
},
SDPSOS: {
// allow_numer: document.getElementById("setting_method_SDPSOS_allow_numer").checked,
verbose: true,
// decompose_method: document.getElementById("setting_method_SDPSOS_reduced_decompose").checked?'reduce':'raw',
}
}
let kwargs = {methods: methods, configs: configs, actions: ['findroot', 'sos']};
if (sos_poly === input_poly){
kwargs.tangents = tangents;
}
console.log(kwargs);
preprocessInput(kwargs);
}
function PolyTools(event){
if ((event === 'rotate') || (event === 'rotate_reflect') || (event === 'reflect')){
const input_poly_box = document.getElementById('input_poly');
const gens = document.getElementById('setting_gens_input').value;
const m = gens.length;
if (m <= 1){
return;
}
let txt = input_poly_box.value;
let result = [];
if (event === 'rotate'){
for (let i = 0, n = txt.length; i < n; ++i){
let j = 0;
for (;j < m; ++j){
if (txt[i] === gens[j]){
result.push(gens[(j+1)%m]);
break;
}
}
if (j === m){
result.push(txt[i]);
}
}
}else if (event === 'rotate_reflect'){
for (let i = 0, n = txt.length; i < n; ++i){
let j = 0;
for (;j < m; ++j){
if (txt[i] === gens[j]){
result.push(gens[(j+m-1)%m]);
break;
}
}
if (j === m){
result.push(txt[i]);
}
}
}else if (event === 'reflect'){
for (let i = 0, n = txt.length; i < n; ++i){
if (txt[i] === gens[1]) result.push(gens[0]);
else if (txt[i] === gens[0]) result.push(gens[1]);
else result.push(txt[i]);
}
}
input_poly_box.value = result.join("");
preprocessInput();
}else if (event === 'factor'){
sos_poly = ''; // reset
preprocessInput({standardize_text: 'factor'});
}else if (event === 'expand'){
sos_poly = ''; // reset
preprocessInput({standardize_text: 'expand'});
}else if (event === 'expand full'){
sos_poly = ''; // reset
preprocessInput({standardize_text: 'expand', omit_pow: false, omit_mul: false});
}else if (event === 'abcd2xyzw'){
const exchanger = (s) => Array.from(s).map(x => {
const c = x.charCodeAt(0);
if (c >= 65 && c <= 68) return String.fromCharCode(87+(c-64)%4);
if (c >= 97 && c <= 100) return String.fromCharCode(119+(c-96)%4);
if (c >= 87 && c <= 90) return String.fromCharCode((c-84)%4+65);
if (c >= 119 && c <= 122) return String.fromCharCode((c-116)%4+97);
return x;
}).join('');
gens = document.getElementById('setting_gens_input').value;
document.getElementById('setting_gens_input').value = exchanger(gens);
sos_poly = exchanger(sos_poly);
document.getElementById('input_poly').value = exchanger(document.getElementById('input_poly').value);
document.getElementById('input_tangents').value = exchanger(document.getElementById('input_tangents').value);
}else if (event === 'homogenize'){
sos_poly = ''; // reset
preprocessInput({homogenize: true});
}else if (event === 'dehomogenize0'){
sos_poly = ''; // reset
preprocessInput({dehomogenize: 0});
}else if (event === 'dehomogenize1'){
sos_poly = ''; // reset
preprocessInput({dehomogenize: 1});
}else if (event === 'latex_coeffs'){
axios.post(host + '/process/latexcoeffs',
{
'poly': sos_poly,
'gens': document.getElementById('setting_gens_input').value,
'perm': document.getElementById('setting_perm_input').value,
}
).then(res=>{
const str = res.data.coeffs;
// copy coeffs to clipboard
const el = document.createElement('textarea');
el.value = str;
document.body.appendChild(el);
el.select();
document.execCommand('copy');
document.body.removeChild(el);
// add a "copy" hint
const hint = document.createElement('div');
hint.innerHTML = 'Copied to clipboard!';
hint.setAttribute('style', 'position: absolute; top: 35%; left: 40%; width: 20%; height: 30px; background-color: rgba(68,68,68,0.5); display: flex; justify-content: center; align-items: center; font-size: 12px; color: rgb(255,255,255); border-radius: 10px;');
document.body.appendChild(hint);
setTimeout(function(){
document.body.removeChild(hint);
}, 1000);
}
);
}
}
function HeatmapScreenShot() {
html2canvas(document.getElementById("heatmap"), {
onrendered: function (canvas) {
var link = document.createElement("a");
link.download = "screenshot.png";
link.href = canvas.toDataURL();
link.click();
},
});
}
</script>
</html>