feat: upgrade toolbox for v1.2.1 #38
@@ -2,7 +2,7 @@
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# 包含 #、空格等特殊字符的值请用单引号包裹。
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DJANGO_SETTINGS_MODULE=config.settings
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APP_VERSION=1.2.0
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APP_VERSION=1.2.1
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DJANGO_SECRET_KEY='replace-with-at-least-50-random-characters'
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DJANGO_DEBUG=false
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DJANGO_USE_HTTPS=true
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@@ -2,8 +2,8 @@
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面向全年龄数学兴趣用户的“数学人生宇宙”。当前仓库包含可运行的 Django 模块化单体、响应式 Web 客户端、运营后台、内容种子、实时比赛基础设施和生产部署配置。
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当前发布版本：**v1.2.0**。变更与迁移说明见
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[v1.2.0 Release Notes](docs/RELEASE_NOTES_V1.2.0.md)。
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当前发布版本：**v1.2.1**。变更与迁移说明见
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[v1.2.1 Release Notes](docs/RELEASE_NOTES_V1.2.1.md)。
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## 参与贡献
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@@ -81,6 +81,51 @@ def test_toolbox_and_games_资源入口与移动端触控样式存在():
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assert "@media (max-width: 700px)" in styles
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def test_v121_工具箱分类与响应式函数探索器资源完整():
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template = (settings.BASE_DIR / "templates" / "index.html").read_text(
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encoding="utf-8"
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)
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app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
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toolbox = (STATIC_ROOT / "js" / "toolbox.js").read_text(encoding="utf-8")
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graph = (STATIC_ROOT / "js" / "graph.js").read_text(encoding="utf-8")
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styles = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
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assert template.count("js/graph.js") == 1
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assert 'data-tool="mental"' not in template
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assert 'class="tool-groups"' in template
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assert 'data-calc-category="calculus"' in template
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assert 'value="solve_system"' in template
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assert 'value="matrix_eigenvalues"' in template
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assert 'id="graph-function-list"' in template
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assert 'id="graph-x-min"' in template
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assert 'id="graph-y-max"' in template
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assert 'id="graph-auto-fit"' in template
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assert 'id="graph-expression"' not in template
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assert 'id="graph-range"' not in template
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assert "function setCalculatorCategory(" in toolbox
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assert "window.HuluGraph?.init()" in toolbox
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assert "drawGraph" not in toolbox
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assert 'tool === "mental"' not in toolbox
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assert "drawGraph" not in app
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assert 'tool === "mental"' not in app
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assert "function addFunction(" in graph
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assert "function drawAxes(" in graph
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assert "function niceStep(" in graph
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assert "window.devicePixelRatio" in graph
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assert '"pointerdown"' in graph
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assert '"wheel"' in graph
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assert "ResizeObserver" in graph
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assert "最多同时绘制 8 条曲线" in graph
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assert ".tool-groups" in styles
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assert ".calc-category-tabs" in styles
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assert ".graph-function-row" in styles
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assert ".graph-stage" in styles
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assert "aspect-ratio: 16 / 10" in styles
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assert "touch-action: none" in styles
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def test_latex_默认源码可渲染且_katex_静态资源完整():
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template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
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app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
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@@ -6,7 +6,7 @@ from django.core.exceptions import ImproperlyConfigured
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BASE_DIR = Path(__file__).resolve().parent.parent
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PROJECT_ROOT = BASE_DIR.parent
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APP_VERSION = os.getenv("APP_VERSION", "1.2.0")
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APP_VERSION = os.getenv("APP_VERSION", "1.2.1")
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SECRET_KEY = os.getenv("DJANGO_SECRET_KEY", "dev-only-change-before-production")
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DEBUG = os.getenv("DJANGO_DEBUG", "true").lower() == "true"
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@@ -185,11 +185,18 @@ button { color: inherit; }
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.match-history-item.result-loss { border-left-color: #c05245; }.match-history-item.result-draw { border-left-color: #9a8455; }
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.match-history-item > div, .match-history-item b, .match-history-item span, .match-history-item strong { display: block; }
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.match-history-item > div:last-child { text-align: right; }.match-history-item span { margin-top: 5px; color: var(--muted); font-size: 11px; }.match-history-item strong { color: var(--green); }
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.tool-grid { display: grid; grid-template-columns: repeat(auto-fit, minmax(170px, 1fr)); gap: 12px; margin-bottom: 22px; }
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.tool-groups { display: grid; grid-template-columns: 1.15fr 1fr .78fr; gap: 14px; margin-bottom: 24px; align-items: stretch; }
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.tool-group { min-width: 0; padding: 18px; border: 1px solid var(--line); border-radius: 20px; background: rgba(255,255,252,.52); }
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.tool-group > header { display: flex; align-items: center; gap: 12px; min-height: 52px; margin-bottom: 14px; }
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.tool-group > header > span { display: grid; place-items: center; width: 35px; height: 35px; flex: 0 0 35px; border-radius: 11px; background: var(--ink); color: var(--lime); font: 11px Georgia, serif; }
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.tool-group > header b, .tool-group > header small { display: block; }.tool-group > header b { font: 18px Georgia, serif; }.tool-group > header small { margin-top: 4px; color: var(--muted); font-size: 10px; }
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.tool-grid { display: grid; grid-template-columns: repeat(auto-fit, minmax(150px, 1fr)); gap: 10px; margin-bottom: 22px; }
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.tool-group .tool-grid { height: calc(100% - 66px); margin-bottom: 0; }
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.tool-card {
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min-height: 165px; border: 1px solid var(--line); border-radius: 18px; padding: 22px;
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background: rgba(255,255,252,.7); text-align: left; cursor: pointer; transition: .2s ease;
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}
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.tool-group .tool-card { min-height: 148px; padding: 18px; }
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.tool-card:hover, .tool-card.active { transform: translateY(-3px); border-color: rgba(25,101,72,.48); box-shadow: 0 16px 35px rgba(38,48,40,.08); }
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.tool-card.active { background: var(--ink); color: white; }
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.tool-card > span { display: grid; place-items: center; width: 52px; height: 52px; border-radius: 15px; background: rgba(25,101,72,.08); color: var(--green); font: 700 17px Georgia, serif; }
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@@ -201,26 +208,48 @@ button { color: inherit; }
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.workspace-heading { display: flex; justify-content: space-between; gap: 30px; align-items: end; margin-bottom: 25px; }
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.workspace-heading h2 { margin: 7px 0 0; font: 31px Georgia, serif; }.workspace-heading p { max-width: 480px; color: var(--muted); font-size: 13px; }
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.calculator-shell { max-width: 980px; margin: auto; }
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.advanced-calculator { max-width: 1120px; }
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.calc-category-tabs { display: flex; gap: 5px; margin-bottom: 16px; padding: 5px; border-radius: 13px; background: #e9ede7; overflow-x: auto; scrollbar-width: thin; }
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.calc-category-tabs button { flex: 1 0 max-content; border: 0; border-radius: 9px; padding: 10px 14px; background: transparent; color: var(--muted); cursor: pointer; font-size: 12px; font-weight: 650; }
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.calc-category-tabs button.active { background: var(--ink); color: white; box-shadow: 0 5px 14px rgba(23,33,27,.13); }
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.calculator-display { min-height: 145px; border-radius: 18px; padding: 25px; background: var(--ink); color: white; display: flex; flex-direction: column; justify-content: space-between; text-align: right; }
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.calculator-display small { color: #9eaaa2; }.calculator-display output { color: var(--lime); font: 48px/1 Georgia, serif; overflow-wrap: anywhere; }
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.formula-input, .search-input { width: 100%; border: 1px solid var(--line); border-radius: 12px; padding: 14px 16px; background: white; outline-color: var(--green); }
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.calculator-shell > .formula-input { margin: 14px 0; font: 18px "SFMono-Regular", Consolas, monospace; }
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.calculator-actions { display: flex; flex-wrap: wrap; gap: 8px; }.calculator-actions button { border: 1px solid var(--line); border-radius: 10px; padding: 11px 15px; background: white; cursor: pointer; }.calculator-actions .primary-button { margin-left: auto; color: white; background: var(--green); border: 0; }
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.calculator-controls { display: grid; grid-template-columns: repeat(4, minmax(120px, 1fr)); gap: 10px; margin-bottom: 14px; }.calculator-controls label, .calculator-expression-label { display: grid; gap: 7px; color: var(--muted); font-size: 11px; }.calculator-controls select, .calculator-controls input { width: 100%; border: 1px solid var(--line); border-radius: 10px; padding: 11px; background: white; }
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.advanced-calculator .calculator-controls > label:first-child { grid-column: span 2; }
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.calculator-controls [hidden] { display: none !important; }
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.calculator-expression-label textarea { min-height: 92px; margin: 0 0 12px; resize: vertical; font: 17px/1.6 "SFMono-Regular", Consolas, monospace; }
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.calc-hint { margin: -4px 0 14px; color: var(--muted); font-size: 11px; line-height: 1.65; }
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.calculator-result { margin-top: 17px; }.calc-result-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 10px; margin-top: 10px; }.calc-result-grid > div { min-width: 0; padding: 14px; border: 1px solid var(--line); border-radius: 12px; background: white; }.calc-result-grid span { display: block; color: var(--muted); font-size: 10px; text-transform: uppercase; letter-spacing: .12em; }.calc-result-grid code { display: block; margin-top: 8px; overflow-wrap: anywhere; color: var(--green); }
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.calc-steps { margin: 13px 0 0; padding: 14px 14px 14px 34px; border-radius: 12px; background: #eef1eb; color: var(--muted); font-size: 12px; line-height: 1.8; }.calc-steps:empty { display: none; }
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.search-input { width: min(370px, 100%); }
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.symbol-grid { display: grid; grid-template-columns: repeat(4, 1fr); gap: 10px; }
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.symbol-card { border: 1px solid var(--line); border-radius: 15px; padding: 18px; background: white; cursor: pointer; text-align: left; }
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.symbol-card strong { display: block; color: var(--green); font: 29px Georgia, serif; }.symbol-card b { display: block; margin-top: 10px; }.symbol-card small { display: block; margin-top: 5px; color: var(--muted); }.symbol-card code { display: inline-block; margin-top: 12px; padding: 4px 7px; border-radius: 6px; background: #f0f1eb; color: #405048; }
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.graph-shell { display: grid; grid-template-columns: 245px minmax(0, 1fr); gap: 20px; }
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.graph-controls { display: flex; flex-direction: column; gap: 17px; }.graph-controls label { display: grid; gap: 8px; color: var(--muted); font-size: 12px; }.graph-controls p { color: #b84136; font-size: 12px; }.graph-controls textarea { min-height: 100px; resize: vertical; font: 13px/1.6 "SFMono-Regular", Consolas, monospace; }
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.graph-shell { display: grid; grid-template-columns: minmax(300px, 360px) minmax(0, 1fr); gap: 18px; align-items: start; }
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.graph-controls { display: flex; min-width: 0; flex-direction: column; gap: 14px; padding: 18px; border: 1px solid var(--line); border-radius: 17px; background: rgba(247,248,243,.86); }.graph-controls label { display: grid; gap: 8px; color: var(--muted); font-size: 12px; }.graph-controls > p { min-height: 17px; margin: 0; color: #b84136; font-size: 12px; }
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.function-syntax-help { border: 1px solid var(--line); border-radius: 11px; padding: 12px 14px; background: #f5f7f1; }.function-syntax-help summary { color: var(--green); font-weight: 700; cursor: pointer; }.function-syntax-help p { margin: 9px 0 0; color: var(--muted); line-height: 1.7; }.function-syntax-help code { color: var(--ink); }
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.check-row { display: flex !important; grid-template-columns: auto 1fr; align-items: center; gap: 8px !important; }.check-row input { margin: 0; }
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.graph-analysis { padding: 11px; border-radius: 10px; background: #eef1eb; color: var(--muted); font-size: 11px; line-height: 1.6; }
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#graph-canvas { width: 100%; height: auto; border: 1px solid var(--line); border-radius: 17px; background: #fbfbf7; }
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.graph-functions-heading { display: flex; align-items: center; justify-content: space-between; gap: 10px; }.graph-functions-heading b { font-size: 13px; }.graph-functions-heading button, .graph-actions button { border: 1px solid var(--line); border-radius: 9px; padding: 8px 10px; background: white; color: var(--green); cursor: pointer; font-size: 11px; font-weight: 650; }
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.graph-function-list { display: grid; gap: 8px; }
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.graph-function-row { display: grid; grid-template-columns: 18px 29px auto minmax(70px, 1fr) 29px; gap: 7px; align-items: center; min-width: 0; }
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.graph-function-row > input[type="checkbox"] { width: 16px; height: 16px; margin: 0; accent-color: var(--green); }
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.graph-function-row > input[type="color"] { width: 29px; height: 29px; padding: 2px; border: 1px solid var(--line); border-radius: 8px; background: white; cursor: pointer; }
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.graph-function-row > span { color: var(--muted); font: 11px "SFMono-Regular", Consolas, monospace; white-space: nowrap; }
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.graph-function-row .formula-input { min-width: 0; padding: 9px 10px; border-radius: 9px; font: 12px "SFMono-Regular", Consolas, monospace; }
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.graph-function-row > button { width: 29px; height: 29px; border: 1px solid var(--line); border-radius: 8px; background: white; color: #a5443b; cursor: pointer; font-size: 18px; line-height: 1; }.graph-function-row > button:disabled { color: #b8beb9; cursor: not-allowed; }
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.graph-parameter-control { display: grid; gap: 8px; padding-top: 3px; }.graph-parameter-control label { display: flex; justify-content: space-between; }.graph-parameter-control output { color: var(--green); font-weight: 700; }
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.graph-viewport-controls { border-top: 1px solid var(--line); border-bottom: 1px solid var(--line); padding: 12px 0; }.graph-viewport-controls summary { color: var(--ink); font-size: 12px; font-weight: 700; cursor: pointer; }.graph-viewport-controls > .check-row { margin-top: 12px; }
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.graph-range-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 8px; margin-top: 11px; }.graph-range-grid label { gap: 5px; font-size: 10px; }.graph-range-grid input { min-width: 0; width: 100%; border: 1px solid var(--line); border-radius: 8px; padding: 8px; background: white; color: var(--ink); }
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.graph-option-grid { display: grid; grid-template-columns: 1fr; gap: 8px; }
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.graph-actions { display: grid; grid-template-columns: 1fr 1fr; gap: 7px; }.graph-actions .primary-button { grid-column: 1 / -1; border-color: var(--green); background: var(--green); color: white; }
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.graph-stage { position: relative; min-width: 0; padding: 10px; border: 1px solid var(--line); border-radius: 19px; background: rgba(255,255,252,.72); overflow: hidden; }
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.graph-legend { min-height: 29px; display: flex; flex-wrap: wrap; gap: 6px; padding: 0 3px 9px; }.graph-legend span { display: inline-flex; align-items: center; gap: 6px; max-width: 100%; padding: 5px 8px; border-radius: 99px; background: #eef1eb; color: var(--muted); font: 10px "SFMono-Regular", Consolas, monospace; overflow-wrap: anywhere; }.graph-legend i { width: 8px; height: 8px; flex: 0 0 8px; border-radius: 50%; }
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.graph-analysis { margin-top: 9px; padding: 11px; border-radius: 10px; background: #eef1eb; color: var(--muted); font-size: 11px; line-height: 1.6; }
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.graph-stage-hint { padding: 8px 4px 0; color: #8b958e; font-size: 10px; text-align: center; }
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#graph-canvas { display: block; width: 100%; height: auto; aspect-ratio: 16 / 10; border: 1px solid var(--line); border-radius: 14px; background: #fbfbf7; cursor: grab; touch-action: none; user-select: none; }#graph-canvas.dragging { cursor: grabbing; }
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.drawing-toolbar { display: flex; flex-wrap: wrap; align-items: center; gap: 8px; margin-bottom: 14px; }.drawing-toolbar button, .drawing-toolbar label { border: 1px solid var(--line); border-radius: 9px; padding: 9px 12px; background: white; color: var(--muted); cursor: pointer; }.drawing-toolbar button.active { border-color: var(--ink); background: var(--ink); color: white; }.drawing-toolbar .primary-button { margin-left: auto; border: 0; background: var(--green); color: white; }.drawing-toolbar label { display: flex; align-items: center; gap: 7px; font-size: 11px; }.drawing-toolbar input[type=color] { width: 28px; height: 24px; padding: 0; border: 0; background: transparent; }
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.toolbar-text-input { flex: 1 1 190px; min-width: 150px; border: 1px solid var(--line); border-radius: 9px; padding: 10px 12px; background: white; }.drawing-toolbar .file-tool input { display: none; }
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.canvas-stage { width: 100%; overflow: hidden; border: 1px solid var(--line); border-radius: 16px; background: white; box-shadow: inset 0 0 0 1px rgba(255,255,255,.6); }.canvas-stage canvas { display: block; width: 100%; height: auto; touch-action: none; cursor: crosshair; }.geometry-stage { background: #fbfbf7; }.canvas-hint { color: var(--muted); font-size: 11px; text-align: center; }
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@@ -296,7 +325,7 @@ dialog::backdrop { background: rgba(17,25,20,.55); backdrop-filter: blur(5px); }
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.app-shell { grid-template-columns: 80px 1fr; }.sidebar { padding: 25px 13px; }.brand span:last-child, .nav-item:not(.active) span, .nav-item { font-size: 0; }
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.nav-item { text-align: center; }.nav-item span { width: auto; font-size: 11px !important; }.sidebar-foot { display: none; }
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.hero-grid { grid-template-columns: 1fr; }.daily-card { min-height: 350px; }.spirit-grid { grid-template-columns: 1fr 1fr; }.content-grid { grid-template-columns: 1fr 1fr; }
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.tool-grid { grid-template-columns: repeat(3, 1fr); }.symbol-grid { grid-template-columns: repeat(3, 1fr); }.video-grid { grid-template-columns: 1fr 1fr; }.calculator-controls { grid-template-columns: repeat(2, 1fr); }
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.tool-groups, .graph-shell { grid-template-columns: 1fr; }.tool-group .tool-grid { grid-template-columns: repeat(2, minmax(0, 1fr)); }.tool-grid { grid-template-columns: repeat(3, 1fr); }.symbol-grid { grid-template-columns: repeat(3, 1fr); }.video-grid { grid-template-columns: 1fr 1fr; }.calculator-controls { grid-template-columns: repeat(2, 1fr); }
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}
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@media (max-width: 700px) {
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.app-shell { display: block; }.sidebar { position: fixed; top: auto; bottom: 0; width: 100%; height: 68px; z-index: 10; border: 0; border-top: 1px solid var(--line); padding: 8px; }
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@@ -310,7 +339,7 @@ dialog::backdrop { background: rgba(17,25,20,.55); backdrop-filter: blur(5px); }
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.board-online-panel { grid-template-columns: 1fr; }.board-online-panel > div, .board-online-panel form { display: grid; grid-template-columns: 1fr; }.board-online-panel p, .board-online-panel > strong { grid-column: 1; }
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.story-experience { padding: 14px 14px 40px; }.story-experience-header { align-items: flex-start; }.story-experience-header .ghost-button { width: auto; padding: 9px 11px; font-size: 10px; }.story-chapter-bar, .story-experience-layout { grid-template-columns: 1fr; }.story-scene-panel { min-height: 0; padding: 25px 20px; }.story-scene-panel .scene { min-height: 120px; }.story-mark-panel { position: static; }.story-domain-counts { grid-template-columns: repeat(2, 1fr); }
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.wechat-entry { align-items: flex-start; flex-direction: column; padding: 24px; }.wechat-entry-actions { width: 100%; display: grid; grid-template-columns: 1fr 1fr; }.wechat-entry-actions > * { justify-content: center; text-align: center; }
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.tool-card { min-height: 125px; }.workspace-heading, .map-heading { display: block; }.workspace-heading p { margin-top: 12px; }.tool-workspace { padding: 16px; }.calculator-controls { grid-template-columns: 1fr 1fr; }.calculator-display { min-height: 120px; padding: 18px; }.calculator-display output { font-size: 34px; }.calc-examples .primary-button { width: 100%; margin-left: 0; }.drawing-toolbar { align-items: stretch; }.drawing-toolbar .primary-button { width: 100%; margin-left: 0; }.canvas-stage canvas { width: 100%; min-width: 0; }
|
||||
.tool-group { padding: 14px; }.tool-group .tool-grid { grid-template-columns: 1fr; }.tool-card { min-height: 125px; }.workspace-heading, .map-heading { display: block; }.workspace-heading p { margin-top: 12px; }.tool-workspace { padding: 16px; }.calculator-controls { grid-template-columns: 1fr 1fr; }.advanced-calculator .calculator-controls > label:first-child { grid-column: 1 / -1; }.calculator-display { min-height: 120px; padding: 18px; }.calculator-display output { font-size: 34px; }.calc-examples .primary-button { width: 100%; margin-left: 0; }.graph-controls { padding: 14px; }.graph-function-row { grid-template-columns: 17px 27px auto minmax(60px, 1fr) 27px; gap: 5px; }.graph-function-row > input[type="color"], .graph-function-row > button { width: 27px; height: 27px; }.graph-range-grid { grid-template-columns: 1fr 1fr; }#graph-canvas { aspect-ratio: 4 / 3; }.drawing-toolbar { align-items: stretch; }.drawing-toolbar .primary-button { width: 100%; margin-left: 0; }.canvas-stage canvas { width: 100%; min-width: 0; }
|
||||
.math-games-section { margin-top: 45px; }.game-card { min-height: 260px; padding: 21px; }.game-card-controls { align-items: stretch; }.game-card-controls .primary-button { flex: 1; }.twenty-four-numbers { gap: 7px; }.twenty-four-numbers button { border-radius: 13px; font-size: 28px; }.sudoku-board input { font-size: clamp(13px, 4.5vw, 20px); }.sudoku-actions { display: grid; grid-template-columns: 1fr 1fr; }.game-keypad { gap: 5px; }
|
||||
.challenge-panel { grid-template-columns: 1fr; padding: 20px; }.challenge-actions form { grid-template-columns: 1fr; }.challenge-actions .dark-button { width: 100%; }.challenge-code { width: 100%; padding: 14px 10px; font-size: 27px; }.realtime-status-line { display: grid; }.realtime-progress-panel { grid-template-columns: 1fr 1fr; }
|
||||
.map-stage { height: 480px; transform: scale(.92); }.ability-node { width: 108px; height: 94px; }.node-vision { left: calc(50% - 54px); }.node-humanities { left: 0; top: 100px; }.node-connection { right: 0; top: 100px; }.node-detection { left: 2%; bottom: 30px; }.node-modeling { right: 2%; bottom: 30px; }.pet-node { top: 190px; }
|
||||
|
||||
@@ -1109,18 +1109,6 @@ function evaluateExpression(source, variables = {}) {
|
||||
return value;
|
||||
}
|
||||
|
||||
function runCalculator() {
|
||||
const input = $("#calc-input").value;
|
||||
try {
|
||||
const result = evaluateExpression(input);
|
||||
$("#calc-history").textContent = input;
|
||||
$("#calc-output").textContent = Number(result.toPrecision(12)).toString();
|
||||
} catch (error) {
|
||||
$("#calc-history").textContent = error.message;
|
||||
$("#calc-output").textContent = "错误";
|
||||
}
|
||||
}
|
||||
|
||||
function renderSymbols(query = "") {
|
||||
const keyword = query.trim().toLowerCase();
|
||||
const matches = MATH_SYMBOLS.filter((symbol) =>
|
||||
@@ -1152,70 +1140,7 @@ function renderSymbols(query = "") {
|
||||
);
|
||||
}
|
||||
|
||||
function drawGraph() {
|
||||
const canvas = $("#graph-canvas");
|
||||
const context = canvas.getContext("2d");
|
||||
const expression = $("#graph-expression").value;
|
||||
const range = Number($("#graph-range").value);
|
||||
const width = canvas.width;
|
||||
const height = canvas.height;
|
||||
$("#graph-range-label").textContent = `−${range} 到 ${range}`;
|
||||
$("#graph-error").textContent = "";
|
||||
context.clearRect(0, 0, width, height);
|
||||
context.fillStyle = "#fbfbf7";
|
||||
context.fillRect(0, 0, width, height);
|
||||
|
||||
const toX = (x) => ((x + range) / (range * 2)) * width;
|
||||
const toY = (y) => height / 2 - (y / range) * (height / 2);
|
||||
context.strokeStyle = "#e4e5df";
|
||||
context.lineWidth = 1;
|
||||
for (let value = -range; value <= range; value += 1) {
|
||||
context.beginPath();
|
||||
context.moveTo(toX(value), 0);
|
||||
context.lineTo(toX(value), height);
|
||||
context.stroke();
|
||||
context.beginPath();
|
||||
context.moveTo(0, toY(value));
|
||||
context.lineTo(width, toY(value));
|
||||
context.stroke();
|
||||
}
|
||||
context.strokeStyle = "#718078";
|
||||
context.lineWidth = 2;
|
||||
context.beginPath();
|
||||
context.moveTo(0, height / 2);
|
||||
context.lineTo(width, height / 2);
|
||||
context.moveTo(width / 2, 0);
|
||||
context.lineTo(width / 2, height);
|
||||
context.stroke();
|
||||
|
||||
context.strokeStyle = "#196548";
|
||||
context.lineWidth = 3;
|
||||
context.beginPath();
|
||||
let drawing = false;
|
||||
try {
|
||||
for (let pixel = 0; pixel <= width; pixel += 2) {
|
||||
const x = (pixel / width) * range * 2 - range;
|
||||
const y = evaluateExpression(expression, { x });
|
||||
const screenY = toY(y);
|
||||
if (screenY < -height * 2 || screenY > height * 3) {
|
||||
drawing = false;
|
||||
continue;
|
||||
}
|
||||
if (!drawing) context.moveTo(pixel, screenY);
|
||||
else context.lineTo(pixel, screenY);
|
||||
drawing = true;
|
||||
}
|
||||
context.stroke();
|
||||
} catch (error) {
|
||||
$("#graph-error").textContent = error.message;
|
||||
}
|
||||
}
|
||||
|
||||
function switchTool(tool) {
|
||||
if (tool === "mental") {
|
||||
navigate("contest");
|
||||
return;
|
||||
}
|
||||
$$(".tool-card").forEach((card) => {
|
||||
card.classList.toggle("active", card.dataset.tool === tool);
|
||||
});
|
||||
|
||||
@@ -0,0 +1,525 @@
|
||||
(function () {
|
||||
const $graph = (selector, root = document) => root.querySelector(selector);
|
||||
const COLORS = [
|
||||
"#196548",
|
||||
"#d86f45",
|
||||
"#5d73e8",
|
||||
"#8667b5",
|
||||
"#c44f83",
|
||||
"#198b9a",
|
||||
"#b07b24",
|
||||
"#3d4852",
|
||||
];
|
||||
const graph = {
|
||||
functions: [],
|
||||
nextId: 1,
|
||||
viewport: { xMin: -10, xMax: 10, yMin: -6, yMax: 6 },
|
||||
dragging: null,
|
||||
frame: null,
|
||||
initialized: false,
|
||||
observer: null,
|
||||
};
|
||||
|
||||
function schedule() {
|
||||
if (graph.frame) window.cancelAnimationFrame(graph.frame);
|
||||
graph.frame = window.requestAnimationFrame(() => {
|
||||
graph.frame = null;
|
||||
draw();
|
||||
});
|
||||
}
|
||||
|
||||
function activeFunctions() {
|
||||
return graph.functions.filter(
|
||||
(item) => item.visible && item.expression.trim(),
|
||||
);
|
||||
}
|
||||
|
||||
function addFunction(expression = "", color) {
|
||||
if (graph.functions.length >= 8) {
|
||||
showToast("最多同时绘制 8 条曲线");
|
||||
return;
|
||||
}
|
||||
graph.functions.push({
|
||||
id: graph.nextId,
|
||||
expression,
|
||||
color: color || COLORS[(graph.nextId - 1) % COLORS.length],
|
||||
visible: true,
|
||||
});
|
||||
graph.nextId += 1;
|
||||
renderFunctionList();
|
||||
schedule();
|
||||
}
|
||||
|
||||
function renderFunctionList() {
|
||||
const root = $graph("#graph-function-list");
|
||||
root.replaceChildren(
|
||||
...graph.functions.map((item, index) => {
|
||||
const row = document.createElement("div");
|
||||
row.className = "graph-function-row";
|
||||
const visible = document.createElement("input");
|
||||
visible.type = "checkbox";
|
||||
visible.checked = item.visible;
|
||||
visible.setAttribute("aria-label", `显示曲线 ${index + 1}`);
|
||||
visible.addEventListener("change", () => {
|
||||
item.visible = visible.checked;
|
||||
schedule();
|
||||
});
|
||||
const color = document.createElement("input");
|
||||
color.type = "color";
|
||||
color.value = item.color;
|
||||
color.setAttribute("aria-label", `曲线 ${index + 1} 颜色`);
|
||||
color.addEventListener("input", () => {
|
||||
item.color = color.value;
|
||||
schedule();
|
||||
});
|
||||
const prefix = document.createElement("span");
|
||||
prefix.textContent = `f${index + 1}(x)`;
|
||||
const input = document.createElement("input");
|
||||
input.className = "formula-input";
|
||||
input.value = item.expression;
|
||||
input.placeholder = "例如 sin(x)";
|
||||
input.setAttribute("aria-label", `函数 ${index + 1}`);
|
||||
input.addEventListener("input", () => {
|
||||
item.expression = input.value;
|
||||
schedule();
|
||||
});
|
||||
const remove = document.createElement("button");
|
||||
remove.type = "button";
|
||||
remove.textContent = "×";
|
||||
remove.title = "删除曲线";
|
||||
remove.disabled = graph.functions.length === 1;
|
||||
remove.addEventListener("click", () => {
|
||||
graph.functions = graph.functions.filter(
|
||||
(candidate) => candidate.id !== item.id,
|
||||
);
|
||||
renderFunctionList();
|
||||
schedule();
|
||||
});
|
||||
row.append(visible, color, prefix, input, remove);
|
||||
return row;
|
||||
}),
|
||||
);
|
||||
}
|
||||
|
||||
function readViewport() {
|
||||
const viewport = {
|
||||
xMin: Number($graph("#graph-x-min").value),
|
||||
xMax: Number($graph("#graph-x-max").value),
|
||||
yMin: Number($graph("#graph-y-min").value),
|
||||
yMax: Number($graph("#graph-y-max").value),
|
||||
};
|
||||
if (
|
||||
!Object.values(viewport).every(Number.isFinite) ||
|
||||
viewport.xMin >= viewport.xMax ||
|
||||
viewport.yMin >= viewport.yMax ||
|
||||
viewport.xMax - viewport.xMin > 1_000_000 ||
|
||||
viewport.yMax - viewport.yMin > 1_000_000
|
||||
) {
|
||||
throw new Error("坐标范围必须有限、最小值小于最大值，跨度不超过 1,000,000");
|
||||
}
|
||||
return viewport;
|
||||
}
|
||||
|
||||
function writeViewport(viewport = graph.viewport) {
|
||||
$graph("#graph-x-min").value = Number(viewport.xMin.toPrecision(8));
|
||||
$graph("#graph-x-max").value = Number(viewport.xMax.toPrecision(8));
|
||||
$graph("#graph-y-min").value = Number(viewport.yMin.toPrecision(8));
|
||||
$graph("#graph-y-max").value = Number(viewport.yMax.toPrecision(8));
|
||||
}
|
||||
|
||||
function sampleFunction(item, viewport, count) {
|
||||
const parameter = Number($graph("#graph-parameter").value);
|
||||
const samples = [];
|
||||
let lastError = null;
|
||||
for (let index = 0; index <= count; index += 1) {
|
||||
const x =
|
||||
viewport.xMin +
|
||||
(index / count) * (viewport.xMax - viewport.xMin);
|
||||
let y = Number.NaN;
|
||||
try {
|
||||
y = evaluateExpression(item.expression, { x, a: parameter });
|
||||
} catch (error) {
|
||||
lastError = error;
|
||||
}
|
||||
samples.push({ x, y: Number.isFinite(y) ? y : Number.NaN });
|
||||
}
|
||||
if (!samples.some((point) => Number.isFinite(point.y))) {
|
||||
throw lastError || new Error(`函数 ${item.expression} 在当前视窗没有有效值`);
|
||||
}
|
||||
return samples;
|
||||
}
|
||||
|
||||
function autoY(functions, viewport) {
|
||||
const values = functions
|
||||
.flatMap((item) => sampleFunction(item, viewport, 500))
|
||||
.map((item) => item.y)
|
||||
.filter(Number.isFinite)
|
||||
.sort((left, right) => left - right);
|
||||
if (!values.length) return { ...viewport, yMin: -6, yMax: 6 };
|
||||
const low = values[Math.floor(values.length * 0.02)];
|
||||
const high = values[Math.min(values.length - 1, Math.ceil(values.length * 0.98))];
|
||||
const span = Math.max(high - low, Math.abs(high) * 0.1, 2);
|
||||
return {
|
||||
...viewport,
|
||||
yMin: low - span * 0.12,
|
||||
yMax: high + span * 0.12,
|
||||
};
|
||||
}
|
||||
|
||||
function niceStep(span, target = 9) {
|
||||
const rough = span / target;
|
||||
const power = 10 ** Math.floor(Math.log10(rough));
|
||||
const fraction = rough / power;
|
||||
return (fraction <= 1 ? 1 : fraction <= 2 ? 2 : fraction <= 5 ? 5 : 10) * power;
|
||||
}
|
||||
|
||||
function tickLabel(value, step) {
|
||||
if (Math.abs(value) < step * 0.001) return "0";
|
||||
if (Math.abs(value) >= 10000 || Math.abs(value) < 0.001) {
|
||||
return value.toExponential(1);
|
||||
}
|
||||
return value.toFixed(Math.min(6, Math.max(0, -Math.floor(Math.log10(step)))));
|
||||
}
|
||||
|
||||
function canvasSize() {
|
||||
const canvas = $graph("#graph-canvas");
|
||||
const rect = canvas.getBoundingClientRect();
|
||||
const ratio = Math.min(window.devicePixelRatio || 1, 2);
|
||||
const width = Math.max(320, Math.round(rect.width));
|
||||
const height = Math.max(320, Math.round(rect.height));
|
||||
if (
|
||||
canvas.width !== Math.round(width * ratio) ||
|
||||
canvas.height !== Math.round(height * ratio)
|
||||
) {
|
||||
canvas.width = Math.round(width * ratio);
|
||||
canvas.height = Math.round(height * ratio);
|
||||
}
|
||||
const context = canvas.getContext("2d");
|
||||
context.setTransform(ratio, 0, 0, ratio, 0, 0);
|
||||
return { context, width, height };
|
||||
}
|
||||
|
||||
function drawGrid(context, viewport, width, height, toX, toY) {
|
||||
context.fillStyle = "#fcfcf8";
|
||||
context.fillRect(0, 0, width, height);
|
||||
if (!$graph("#graph-grid").checked) return;
|
||||
const xStep = niceStep(viewport.xMax - viewport.xMin);
|
||||
const yStep = niceStep(viewport.yMax - viewport.yMin);
|
||||
context.font = "11px system-ui, sans-serif";
|
||||
context.lineWidth = 1;
|
||||
context.strokeStyle = "#e1e6e0";
|
||||
context.fillStyle = "#6d796f";
|
||||
context.textAlign = "center";
|
||||
context.textBaseline = "top";
|
||||
for (
|
||||
let value = Math.ceil(viewport.xMin / xStep) * xStep;
|
||||
value <= viewport.xMax + xStep * 0.001;
|
||||
value += xStep
|
||||
) {
|
||||
const x = toX(value);
|
||||
context.beginPath();
|
||||
context.moveTo(x, 0);
|
||||
context.lineTo(x, height);
|
||||
context.stroke();
|
||||
const labelY =
|
||||
viewport.yMin <= 0 && viewport.yMax >= 0
|
||||
? Math.min(height - 18, Math.max(4, toY(0) + 6))
|
||||
: height - 18;
|
||||
context.fillText(tickLabel(value, xStep), x, labelY);
|
||||
}
|
||||
context.textAlign = "left";
|
||||
context.textBaseline = "middle";
|
||||
for (
|
||||
let value = Math.ceil(viewport.yMin / yStep) * yStep;
|
||||
value <= viewport.yMax + yStep * 0.001;
|
||||
value += yStep
|
||||
) {
|
||||
const y = toY(value);
|
||||
context.beginPath();
|
||||
context.moveTo(0, y);
|
||||
context.lineTo(width, y);
|
||||
context.stroke();
|
||||
const labelX =
|
||||
viewport.xMin <= 0 && viewport.xMax >= 0
|
||||
? Math.min(width - 50, Math.max(6, toX(0) + 7))
|
||||
: 7;
|
||||
context.fillText(tickLabel(value, yStep), labelX, y);
|
||||
}
|
||||
}
|
||||
|
||||
function drawAxes(context, viewport, width, height, toX, toY) {
|
||||
context.strokeStyle = "#263b30";
|
||||
context.fillStyle = "#263b30";
|
||||
context.lineWidth = 2;
|
||||
context.beginPath();
|
||||
if (viewport.yMin <= 0 && viewport.yMax >= 0) {
|
||||
const y = toY(0);
|
||||
context.moveTo(0, y);
|
||||
context.lineTo(width, y);
|
||||
context.moveTo(width - 9, y - 5);
|
||||
context.lineTo(width, y);
|
||||
context.lineTo(width - 9, y + 5);
|
||||
}
|
||||
if (viewport.xMin <= 0 && viewport.xMax >= 0) {
|
||||
const x = toX(0);
|
||||
context.moveTo(x, height);
|
||||
context.lineTo(x, 0);
|
||||
context.moveTo(x - 5, 9);
|
||||
context.lineTo(x, 0);
|
||||
context.lineTo(x + 5, 9);
|
||||
}
|
||||
context.stroke();
|
||||
context.font = "700 12px system-ui, sans-serif";
|
||||
context.fillText("x", width - 16, Math.min(height - 16, Math.max(14, toY(0) - 15)));
|
||||
context.fillText("y", Math.min(width - 18, Math.max(10, toX(0) + 10)), 14);
|
||||
}
|
||||
|
||||
function drawPath(context, samples, color, viewport, toX, toY) {
|
||||
const ySpan = viewport.yMax - viewport.yMin;
|
||||
context.strokeStyle = color;
|
||||
context.lineWidth = 2.6;
|
||||
context.lineJoin = "round";
|
||||
context.beginPath();
|
||||
let drawing = false;
|
||||
let previous;
|
||||
samples.forEach((item) => {
|
||||
const discontinuity =
|
||||
previous &&
|
||||
Number.isFinite(previous.y) &&
|
||||
Number.isFinite(item.y) &&
|
||||
Math.abs(item.y - previous.y) > ySpan * 3;
|
||||
if (
|
||||
!Number.isFinite(item.y) ||
|
||||
item.y < viewport.yMin - ySpan ||
|
||||
item.y > viewport.yMax + ySpan ||
|
||||
discontinuity
|
||||
) {
|
||||
drawing = false;
|
||||
} else if (!drawing) {
|
||||
context.moveTo(toX(item.x), toY(item.y));
|
||||
drawing = true;
|
||||
} else {
|
||||
context.lineTo(toX(item.x), toY(item.y));
|
||||
}
|
||||
previous = item;
|
||||
});
|
||||
context.stroke();
|
||||
}
|
||||
|
||||
function analyze(samples, xSpan) {
|
||||
const roots = [];
|
||||
let extrema = 0;
|
||||
for (let index = 1; index < samples.length; index += 1) {
|
||||
const before = samples[index - 1];
|
||||
const current = samples[index];
|
||||
if (!Number.isFinite(before.y) || !Number.isFinite(current.y)) continue;
|
||||
if (before.y === 0 || before.y * current.y < 0) {
|
||||
const root = (before.x + current.x) / 2;
|
||||
if (!roots.length || Math.abs(root - roots.at(-1)) > xSpan / 300) {
|
||||
roots.push(root);
|
||||
}
|
||||
}
|
||||
if (index > 1) {
|
||||
const older = samples[index - 2];
|
||||
if (!Number.isFinite(older.y)) continue;
|
||||
if ((before.y - older.y) * (current.y - before.y) < 0) extrema += 1;
|
||||
}
|
||||
}
|
||||
return { roots: roots.slice(0, 8), extrema };
|
||||
}
|
||||
|
||||
function renderLegend(functions) {
|
||||
$graph("#graph-legend").replaceChildren(
|
||||
...functions.map((item) => {
|
||||
const badge = document.createElement("span");
|
||||
const dot = document.createElement("i");
|
||||
dot.style.background = item.color;
|
||||
badge.append(dot, document.createTextNode(item.expression));
|
||||
return badge;
|
||||
}),
|
||||
);
|
||||
}
|
||||
|
||||
function draw() {
|
||||
const canvas = $graph("#graph-canvas");
|
||||
if (!canvas) return;
|
||||
const functions = activeFunctions();
|
||||
const { context, width, height } = canvasSize();
|
||||
$graph("#graph-error").textContent = "";
|
||||
$graph("#graph-parameter-label").textContent =
|
||||
Number($graph("#graph-parameter").value).toFixed(1);
|
||||
try {
|
||||
let viewport = readViewport();
|
||||
if ($graph("#graph-auto-y").checked && functions.length) {
|
||||
viewport = autoY(functions, viewport);
|
||||
$graph("#graph-y-min").value = Number(viewport.yMin.toPrecision(7));
|
||||
$graph("#graph-y-max").value = Number(viewport.yMax.toPrecision(7));
|
||||
}
|
||||
graph.viewport = viewport;
|
||||
const toX = (x) =>
|
||||
((x - viewport.xMin) / (viewport.xMax - viewport.xMin)) * width;
|
||||
const toY = (y) =>
|
||||
height - ((y - viewport.yMin) / (viewport.yMax - viewport.yMin)) * height;
|
||||
drawGrid(context, viewport, width, height, toX, toY);
|
||||
drawAxes(context, viewport, width, height, toX, toY);
|
||||
if (!functions.length) {
|
||||
$graph("#graph-error").textContent = "请至少输入并启用一个函数";
|
||||
renderLegend([]);
|
||||
return;
|
||||
}
|
||||
const count = Math.max(500, Math.min(1600, Math.round(width * 1.5)));
|
||||
const sampled = functions.map((item) => ({
|
||||
item,
|
||||
samples: sampleFunction(item, viewport, count),
|
||||
}));
|
||||
const first = sampled[0].samples;
|
||||
if ($graph("#graph-integral").checked) {
|
||||
context.fillStyle = `${functions[0].color}22`;
|
||||
context.beginPath();
|
||||
context.moveTo(toX(viewport.xMin), toY(0));
|
||||
first.forEach((point) => {
|
||||
if (Number.isFinite(point.y)) context.lineTo(toX(point.x), toY(point.y));
|
||||
});
|
||||
context.lineTo(toX(viewport.xMax), toY(0));
|
||||
context.closePath();
|
||||
context.fill();
|
||||
}
|
||||
sampled.forEach(({ item, samples }) => {
|
||||
drawPath(context, samples, item.color, viewport, toX, toY);
|
||||
});
|
||||
if ($graph("#graph-derivative").checked) {
|
||||
const derivative = first.slice(1, -1).map((point, index) => {
|
||||
const before = first[index];
|
||||
const after = first[index + 2];
|
||||
return { x: point.x, y: (after.y - before.y) / (after.x - before.x) };
|
||||
});
|
||||
context.setLineDash([8, 6]);
|
||||
drawPath(context, derivative, "#111827", viewport, toX, toY);
|
||||
context.setLineDash([]);
|
||||
}
|
||||
const analysis = analyze(first, viewport.xMax - viewport.xMin);
|
||||
const rootText = analysis.roots.length
|
||||
? analysis.roots.map((item) => item.toPrecision(4)).join("、")
|
||||
: "当前视窗未发现";
|
||||
$graph("#graph-analysis").textContent =
|
||||
`第一条曲线：近似零点 ${rootText}；检测到 ${analysis.extrema} 个极值转折。`;
|
||||
renderLegend(functions);
|
||||
} catch (error) {
|
||||
context.clearRect(0, 0, width, height);
|
||||
$graph("#graph-error").textContent = error.message;
|
||||
}
|
||||
}
|
||||
|
||||
function setViewport(viewport, disableAutoY = true) {
|
||||
graph.viewport = viewport;
|
||||
if (disableAutoY) $graph("#graph-auto-y").checked = false;
|
||||
writeViewport(viewport);
|
||||
schedule();
|
||||
}
|
||||
|
||||
function resetViewport() {
|
||||
$graph("#graph-auto-y").checked = true;
|
||||
setViewport({ xMin: -10, xMax: 10, yMin: -6, yMax: 6 }, false);
|
||||
}
|
||||
|
||||
function autoFit() {
|
||||
$graph("#graph-auto-y").checked = true;
|
||||
schedule();
|
||||
}
|
||||
|
||||
function bindCanvasNavigation() {
|
||||
const canvas = $graph("#graph-canvas");
|
||||
canvas.addEventListener("pointerdown", (event) => {
|
||||
if (event.button !== 0) return;
|
||||
graph.dragging = {
|
||||
x: event.clientX,
|
||||
y: event.clientY,
|
||||
viewport: { ...graph.viewport },
|
||||
};
|
||||
canvas.setPointerCapture(event.pointerId);
|
||||
canvas.classList.add("dragging");
|
||||
});
|
||||
canvas.addEventListener("pointermove", (event) => {
|
||||
if (!graph.dragging) return;
|
||||
const rect = canvas.getBoundingClientRect();
|
||||
const start = graph.dragging;
|
||||
const dx =
|
||||
((event.clientX - start.x) / rect.width) *
|
||||
(start.viewport.xMax - start.viewport.xMin);
|
||||
const dy =
|
||||
((event.clientY - start.y) / rect.height) *
|
||||
(start.viewport.yMax - start.viewport.yMin);
|
||||
setViewport({
|
||||
xMin: start.viewport.xMin - dx,
|
||||
xMax: start.viewport.xMax - dx,
|
||||
yMin: start.viewport.yMin + dy,
|
||||
yMax: start.viewport.yMax + dy,
|
||||
});
|
||||
});
|
||||
const stopDragging = () => {
|
||||
graph.dragging = null;
|
||||
canvas.classList.remove("dragging");
|
||||
};
|
||||
canvas.addEventListener("pointerup", stopDragging);
|
||||
canvas.addEventListener("pointercancel", stopDragging);
|
||||
canvas.addEventListener(
|
||||
"wheel",
|
||||
(event) => {
|
||||
event.preventDefault();
|
||||
const rect = canvas.getBoundingClientRect();
|
||||
const viewport = graph.viewport;
|
||||
const xRatio = (event.clientX - rect.left) / rect.width;
|
||||
const yRatio = 1 - (event.clientY - rect.top) / rect.height;
|
||||
const centerX = viewport.xMin + xRatio * (viewport.xMax - viewport.xMin);
|
||||
const centerY = viewport.yMin + yRatio * (viewport.yMax - viewport.yMin);
|
||||
const factor = event.deltaY > 0 ? 1.14 : 0.88;
|
||||
setViewport({
|
||||
xMin: centerX + (viewport.xMin - centerX) * factor,
|
||||
xMax: centerX + (viewport.xMax - centerX) * factor,
|
||||
yMin: centerY + (viewport.yMin - centerY) * factor,
|
||||
yMax: centerY + (viewport.yMax - centerY) * factor,
|
||||
});
|
||||
},
|
||||
{ passive: false },
|
||||
);
|
||||
canvas.addEventListener("dblclick", autoFit);
|
||||
}
|
||||
|
||||
function init() {
|
||||
if (graph.initialized) return;
|
||||
graph.initialized = true;
|
||||
addFunction("sin(x) + a*x/3", COLORS[0]);
|
||||
addFunction("0.08*x^2 - 2", COLORS[1]);
|
||||
$graph("#graph-add-function").addEventListener("click", () => addFunction());
|
||||
$graph("#graph-run").addEventListener("click", draw);
|
||||
$graph("#graph-auto-fit").addEventListener("click", autoFit);
|
||||
$graph("#graph-reset-view").addEventListener("click", resetViewport);
|
||||
[
|
||||
"#graph-parameter",
|
||||
"#graph-x-min",
|
||||
"#graph-x-max",
|
||||
"#graph-auto-y",
|
||||
"#graph-grid",
|
||||
"#graph-derivative",
|
||||
"#graph-integral",
|
||||
].forEach((selector) => {
|
||||
$graph(selector).addEventListener("input", schedule);
|
||||
});
|
||||
["#graph-y-min", "#graph-y-max"].forEach((selector) => {
|
||||
$graph(selector).addEventListener("input", () => {
|
||||
$graph("#graph-auto-y").checked = false;
|
||||
schedule();
|
||||
});
|
||||
});
|
||||
bindCanvasNavigation();
|
||||
if ("ResizeObserver" in window) {
|
||||
graph.observer = new ResizeObserver(schedule);
|
||||
graph.observer.observe($graph(".graph-stage"));
|
||||
} else {
|
||||
window.addEventListener("resize", schedule);
|
||||
}
|
||||
schedule();
|
||||
}
|
||||
|
||||
window.HuluGraph = { init, draw, resize: schedule, addFunction };
|
||||
})();
|
||||
+122
-191
@@ -5,25 +5,107 @@
|
||||
const CALC_FIELDS = {
|
||||
derivative: ["order"],
|
||||
integral: ["bounds"],
|
||||
limit: ["point"],
|
||||
limit: ["point", "direction"],
|
||||
series: ["point", "order"],
|
||||
solve_system: ["variables"],
|
||||
gradient: ["variables"],
|
||||
hessian: ["variables"],
|
||||
base: ["base"],
|
||||
unit: ["unit"],
|
||||
};
|
||||
|
||||
function formatCalculatorResult(result) {
|
||||
if (Array.isArray(result)) {
|
||||
return {
|
||||
exact: result.map((item) => item.exact).join(", "),
|
||||
decimal: result.map((item) => item.decimal).join(", "),
|
||||
latex: result.map((item) => item.latex).join(", "),
|
||||
const CALC_OPERATION_META = {
|
||||
statistics: {
|
||||
placeholder: "12, 15, 18, 21, 24",
|
||||
hint: "使用逗号分隔数据，返回四分位数、方差、标准差、极差等统计量。",
|
||||
},
|
||||
base: {
|
||||
placeholder: "FF",
|
||||
hint: "输入不带前缀的整数，原进制与目标进制均支持 2 到 36。",
|
||||
},
|
||||
solve: {
|
||||
placeholder: "x^2 - 5*x + 6 = 0",
|
||||
hint: "可省略等号右侧；通过“变量”指定要求解的未知量。",
|
||||
},
|
||||
solve_system: {
|
||||
placeholder: "x + y = 5; x - y = 1",
|
||||
hint: "使用分号分隔方程，通过“变量列表”指定未知量，最多 4 个变量、6 个方程。",
|
||||
},
|
||||
polynomial_roots: {
|
||||
placeholder: "x^5 - x + 1 = 0",
|
||||
hint: "返回至多 12 次单变量多项式的全部高精度数值根，包括复根。",
|
||||
},
|
||||
series: {
|
||||
placeholder: "exp(x) * cos(x)",
|
||||
hint: "在指定点附近展开；“阶数 6”表示保留到 5 阶并显示余项。",
|
||||
order: 6,
|
||||
},
|
||||
gradient: {
|
||||
placeholder: "x^2*y + sin(y)",
|
||||
hint: "变量列表示例：x,y。结果按该顺序组成梯度列向量。",
|
||||
},
|
||||
hessian: {
|
||||
placeholder: "x^2 + x*y + y^2",
|
||||
hint: "变量列表示例：x,y。结果为二阶偏导组成的 Hessian 矩阵。",
|
||||
},
|
||||
matrix_det: { placeholder: "1,2;3,4", hint: "逗号分列、分号分行，最多 36 个元素。" },
|
||||
matrix_inverse: { placeholder: "1,2;3,4", hint: "逆矩阵要求方阵且行列式非零。" },
|
||||
matrix_rref: { placeholder: "1,2,3;2,4,6", hint: "返回矩阵的行最简形。" },
|
||||
matrix_transpose: { placeholder: "1,2,3;4,5,6", hint: "交换矩阵的行与列。" },
|
||||
matrix_rank: { placeholder: "1,2,3;2,4,6", hint: "通过精确行变换计算矩阵秩。" },
|
||||
matrix_nullspace: { placeholder: "1,2;2,4", hint: "返回齐次方程组对应零空间的一组基。" },
|
||||
matrix_eigenvalues: { placeholder: "2,1;1,2", hint: "要求方阵，返回特征值及其代数重数。" },
|
||||
};
|
||||
|
||||
function calculatorCategoryFor(operation) {
|
||||
const option = [...$tool("#calc-operation").options].find(
|
||||
(item) => item.value === operation,
|
||||
);
|
||||
return option?.parentElement?.dataset.calcCategoryOptions || "algebra";
|
||||
}
|
||||
if (result && typeof result === "object" && "exact" in result) return result;
|
||||
const entries = Object.entries(result || {});
|
||||
|
||||
function setCalculatorCategory(category, selectFirst = true) {
|
||||
const select = $tool("#calc-operation");
|
||||
$$tool("[data-calc-category-options]").forEach((group) => {
|
||||
const active = group.dataset.calcCategoryOptions === category;
|
||||
group.hidden = !active;
|
||||
group.disabled = !active;
|
||||
});
|
||||
$$tool("[data-calc-category]").forEach((button) => {
|
||||
button.classList.toggle(
|
||||
"active",
|
||||
button.dataset.calcCategory === category,
|
||||
);
|
||||
});
|
||||
if (selectFirst) {
|
||||
const group = $tool(
|
||||
`[data-calc-category-options="${category}"]`,
|
||||
);
|
||||
if (group?.querySelector("option")) {
|
||||
select.value = group.querySelector("option").value;
|
||||
}
|
||||
}
|
||||
updateCalculatorFields();
|
||||
}
|
||||
|
||||
function resultText(value, field = "exact") {
|
||||
if (Array.isArray(value)) {
|
||||
return value.map((item) => resultText(item, field)).join("； ");
|
||||
}
|
||||
if (value && typeof value === "object") {
|
||||
if ("exact" in value) return value[field] || value.exact;
|
||||
return Object.entries(value)
|
||||
.map(([key, item]) => `${key}: ${resultText(item, field)}`)
|
||||
.join("； ");
|
||||
}
|
||||
return String(value ?? "");
|
||||
}
|
||||
|
||||
function formatCalculatorResult(result) {
|
||||
return {
|
||||
exact: entries.map(([key, value]) => `${key}: ${value}`).join(" · "),
|
||||
decimal: entries.map(([key, value]) => `${key}: ${value}`).join(" · "),
|
||||
latex: entries.map(([key, value]) => `${key}=${value}`).join(", "),
|
||||
exact: resultText(result, "exact"),
|
||||
decimal: resultText(result, "decimal"),
|
||||
latex: resultText(result, "latex"),
|
||||
};
|
||||
}
|
||||
|
||||
@@ -33,17 +115,13 @@
|
||||
$$tool("[data-calc-field]").forEach((field) => {
|
||||
field.hidden = !visible.has(field.dataset.calcField);
|
||||
});
|
||||
const input = $tool("#calc-input");
|
||||
const placeholders = {
|
||||
statistics: "12, 15, 18, 21, 24",
|
||||
base: "FF",
|
||||
matrix_det: "1,2;3,4",
|
||||
matrix_inverse: "1,2;3,4",
|
||||
matrix_rref: "1,2,3;2,4,6",
|
||||
matrix_transpose: "1,2,3;4,5,6",
|
||||
solve: "x^2 - 5*x + 6 = 0",
|
||||
};
|
||||
input.placeholder = placeholders[operation] || "例如：sqrt(2) + 1/3";
|
||||
const meta = CALC_OPERATION_META[operation] || {};
|
||||
$tool("#calc-input").placeholder = meta.placeholder || "例如：sqrt(2) + 1/3";
|
||||
$tool("#calc-hint").textContent =
|
||||
meta.hint || "支持精确常量、受限数学函数和变量；按 Command/Ctrl + Enter 运行。";
|
||||
$tool("#calc-order").max = operation === "derivative" ? 5 : 12;
|
||||
if (meta.order) $tool("#calc-order").value = meta.order;
|
||||
else if (operation === "derivative") $tool("#calc-order").value = 1;
|
||||
}
|
||||
|
||||
async function runCalculator() {
|
||||
@@ -59,10 +137,12 @@
|
||||
operation,
|
||||
expression,
|
||||
variable: $tool("#calc-variable").value,
|
||||
variables: $tool("#calc-variables").value,
|
||||
order: $tool("#calc-order").value,
|
||||
lower: $tool("#calc-lower").value,
|
||||
upper: $tool("#calc-upper").value,
|
||||
point: $tool("#calc-point").value,
|
||||
direction: $tool("#calc-direction").value,
|
||||
from_base: $tool("#calc-from-base").value,
|
||||
to_base: $tool("#calc-to-base").value,
|
||||
from_unit: $tool("#calc-from-unit").value,
|
||||
@@ -92,163 +172,6 @@
|
||||
}
|
||||
}
|
||||
|
||||
const GRAPH_COLORS = ["#196548", "#d86f45", "#5d73e8", "#8667b5"];
|
||||
|
||||
function drawFunctionPath(context, expression, variables, range, width, height, color) {
|
||||
const toY = (value) => height / 2 - (value / range) * (height / 2);
|
||||
context.strokeStyle = color;
|
||||
context.lineWidth = 3;
|
||||
context.beginPath();
|
||||
let drawing = false;
|
||||
const samples = [];
|
||||
for (let pixel = 0; pixel <= width; pixel += 2) {
|
||||
const x = (pixel / width) * range * 2 - range;
|
||||
let y;
|
||||
try {
|
||||
y = evaluateExpression(expression, { ...variables, x });
|
||||
} catch (error) {
|
||||
if (pixel === 0) throw error;
|
||||
drawing = false;
|
||||
continue;
|
||||
}
|
||||
samples.push({ x, y });
|
||||
const screenY = toY(y);
|
||||
if (!Number.isFinite(screenY) || screenY < -height * 2 || screenY > height * 3) {
|
||||
drawing = false;
|
||||
continue;
|
||||
}
|
||||
if (!drawing) context.moveTo(pixel, screenY);
|
||||
else context.lineTo(pixel, screenY);
|
||||
drawing = true;
|
||||
}
|
||||
context.stroke();
|
||||
return samples;
|
||||
}
|
||||
|
||||
function graphAnalysis(samples) {
|
||||
const roots = [];
|
||||
let extrema = 0;
|
||||
for (let index = 1; index < samples.length; index += 1) {
|
||||
const before = samples[index - 1];
|
||||
const current = samples[index];
|
||||
if (before.y === 0 || before.y * current.y < 0) {
|
||||
const root = (before.x + current.x) / 2;
|
||||
if (!roots.length || Math.abs(root - roots.at(-1)) > 0.15) roots.push(root);
|
||||
}
|
||||
if (index > 1) {
|
||||
const previousSlope = before.y - samples[index - 2].y;
|
||||
const currentSlope = current.y - before.y;
|
||||
if (previousSlope * currentSlope < 0) extrema += 1;
|
||||
}
|
||||
}
|
||||
return { roots: roots.slice(0, 8), extrema };
|
||||
}
|
||||
|
||||
function drawGraph() {
|
||||
const canvas = $tool("#graph-canvas");
|
||||
const context = canvas.getContext("2d");
|
||||
const expressions = $tool("#graph-expression").value
|
||||
.split("\n")
|
||||
.map((item) => item.trim())
|
||||
.filter(Boolean)
|
||||
.slice(0, 4);
|
||||
const range = Number($tool("#graph-range").value);
|
||||
const parameter = Number($tool("#graph-parameter").value);
|
||||
const width = canvas.width;
|
||||
const height = canvas.height;
|
||||
$tool("#graph-range-label").textContent = `−${range} 到 ${range}`;
|
||||
$tool("#graph-parameter-label").textContent = `a = ${parameter}`;
|
||||
$tool("#graph-error").textContent = "";
|
||||
context.clearRect(0, 0, width, height);
|
||||
context.fillStyle = "#fbfbf7";
|
||||
context.fillRect(0, 0, width, height);
|
||||
const toX = (x) => ((x + range) / (range * 2)) * width;
|
||||
const toY = (y) => height / 2 - (y / range) * (height / 2);
|
||||
|
||||
context.strokeStyle = "#e4e5df";
|
||||
context.lineWidth = 1;
|
||||
for (let value = -range; value <= range; value += 1) {
|
||||
context.beginPath();
|
||||
context.moveTo(toX(value), 0);
|
||||
context.lineTo(toX(value), height);
|
||||
context.moveTo(0, toY(value));
|
||||
context.lineTo(width, toY(value));
|
||||
context.stroke();
|
||||
}
|
||||
context.strokeStyle = "#718078";
|
||||
context.lineWidth = 2;
|
||||
context.beginPath();
|
||||
context.moveTo(0, height / 2);
|
||||
context.lineTo(width, height / 2);
|
||||
context.moveTo(width / 2, 0);
|
||||
context.lineTo(width / 2, height);
|
||||
context.stroke();
|
||||
|
||||
if (!expressions.length) {
|
||||
$tool("#graph-error").textContent = "请至少输入一个函数";
|
||||
return;
|
||||
}
|
||||
try {
|
||||
const firstSamples = drawFunctionPath(
|
||||
context,
|
||||
expressions[0],
|
||||
{ a: parameter },
|
||||
range,
|
||||
width,
|
||||
height,
|
||||
GRAPH_COLORS[0],
|
||||
);
|
||||
expressions.slice(1).forEach((expression, index) => {
|
||||
drawFunctionPath(
|
||||
context,
|
||||
expression,
|
||||
{ a: parameter },
|
||||
range,
|
||||
width,
|
||||
height,
|
||||
GRAPH_COLORS[index + 1],
|
||||
);
|
||||
});
|
||||
|
||||
if ($tool("#graph-integral").checked) {
|
||||
context.fillStyle = "rgba(25, 101, 72, .13)";
|
||||
context.beginPath();
|
||||
context.moveTo(0, height / 2);
|
||||
firstSamples.forEach((item) => context.lineTo(toX(item.x), toY(item.y)));
|
||||
context.lineTo(width, height / 2);
|
||||
context.closePath();
|
||||
context.fill();
|
||||
}
|
||||
if ($tool("#graph-derivative").checked) {
|
||||
const derivative = firstSamples.slice(1, -1).map((item, index) => {
|
||||
const before = firstSamples[index];
|
||||
const after = firstSamples[index + 2];
|
||||
return { x: item.x, y: (after.y - before.y) / (after.x - before.x) };
|
||||
});
|
||||
context.strokeStyle = "#111827";
|
||||
context.lineWidth = 2;
|
||||
context.setLineDash([9, 7]);
|
||||
context.beginPath();
|
||||
derivative.forEach((item, index) => {
|
||||
const x = toX(item.x);
|
||||
const y = toY(item.y);
|
||||
if (index === 0) context.moveTo(x, y);
|
||||
else context.lineTo(x, y);
|
||||
});
|
||||
context.stroke();
|
||||
context.setLineDash([]);
|
||||
}
|
||||
const analysis = graphAnalysis(firstSamples);
|
||||
const rootText = analysis.roots.length
|
||||
? analysis.roots.map((item) => item.toFixed(2)).join("、")
|
||||
: "当前范围未发现";
|
||||
$tool("#graph-analysis").textContent =
|
||||
`第一条曲线：近似零点 ${rootText}；检测到 ${analysis.extrema} 个极值转折。`;
|
||||
} catch (error) {
|
||||
$tool("#graph-error").textContent = error.message;
|
||||
}
|
||||
}
|
||||
|
||||
function canvasPoint(canvas, event) {
|
||||
const rect = canvas.getBoundingClientRect();
|
||||
return {
|
||||
@@ -930,7 +853,17 @@
|
||||
}
|
||||
|
||||
function init() {
|
||||
$tool("#calc-operation").addEventListener("change", updateCalculatorFields);
|
||||
$tool("#calc-operation").addEventListener("change", () => {
|
||||
setCalculatorCategory(
|
||||
calculatorCategoryFor($tool("#calc-operation").value),
|
||||
false,
|
||||
);
|
||||
});
|
||||
$$tool("[data-calc-category]").forEach((button) => {
|
||||
button.addEventListener("click", () => {
|
||||
setCalculatorCategory(button.dataset.calcCategory);
|
||||
});
|
||||
});
|
||||
$tool("#calc-run").addEventListener("click", runCalculator);
|
||||
$tool("#calc-input").addEventListener("keydown", (event) => {
|
||||
if ((event.metaKey || event.ctrlKey) && event.key === "Enter") runCalculator();
|
||||
@@ -939,24 +872,22 @@
|
||||
button.addEventListener("click", () => {
|
||||
$tool("#calc-operation").value = button.dataset.calcOperation;
|
||||
$tool("#calc-input").value = button.dataset.calcExample;
|
||||
updateCalculatorFields();
|
||||
setCalculatorCategory(
|
||||
calculatorCategoryFor(button.dataset.calcOperation),
|
||||
false,
|
||||
);
|
||||
runCalculator();
|
||||
});
|
||||
});
|
||||
["#graph-run", "#graph-range", "#graph-parameter", "#graph-derivative", "#graph-integral"]
|
||||
.forEach((selector) => $tool(selector).addEventListener("input", drawGraph));
|
||||
$tool("#graph-expression").addEventListener("keydown", (event) => {
|
||||
if ((event.metaKey || event.ctrlKey) && event.key === "Enter") drawGraph();
|
||||
});
|
||||
initDrawingTools();
|
||||
updateCalculatorFields();
|
||||
drawGraph();
|
||||
setCalculatorCategory("algebra", false);
|
||||
window.HuluGraph?.init();
|
||||
}
|
||||
|
||||
function activate(tool) {
|
||||
if (tool === "graph") window.setTimeout(drawGraph, 30);
|
||||
if (tool === "graph") window.setTimeout(() => window.HuluGraph?.resize(), 30);
|
||||
if (tool === "whiteboard") window.setTimeout(() => geometry.draw(), 30);
|
||||
}
|
||||
|
||||
window.HuluToolbox = { init, activate, runCalculator, drawGraph };
|
||||
window.HuluToolbox = { init, activate, runCalculator };
|
||||
})();
|
||||
|
||||
@@ -214,46 +214,84 @@
|
||||
</section>
|
||||
|
||||
<section class="view" id="view-toolbox">
|
||||
<div class="page-title"><span class="kicker">MATHEMATICAL WORKBENCH</span><h1>工具箱</h1><p>计算、查询、绘图与表达，把想法直接变成可以继续工作的对象。</p></div>
|
||||
<div class="tool-grid" id="tool-grid">
|
||||
<button class="tool-card" data-tool="mental"><span>⚡</span><b>口算竞技</b><small>限时挑战你的心算速度</small></button>
|
||||
<button class="tool-card active" data-tool="calculator"><span>123</span><b>数学计算工作台</b><small>代数、微积分、矩阵与统计</small></button>
|
||||
<div class="page-title"><span class="kicker">MATHEMATICAL WORKBENCH</span><h1>工具箱</h1><p>从符号计算、函数探索到数学表达与协作创作，按任务组织完整工作流。</p></div>
|
||||
<div class="tool-groups" id="tool-grid">
|
||||
<section class="tool-group">
|
||||
<header><span>01</span><div><b>计算与探索</b><small>从表达式到结构与图像</small></div></header>
|
||||
<div class="tool-grid">
|
||||
<button class="tool-card active" data-tool="calculator"><span>CAS</span><b>高级计算工作台</b><small>代数、微积分、方程组、矩阵与数据分析</small></button>
|
||||
<button class="tool-card" data-tool="graph"><span>ƒ(x)</span><b>函数探索器</b><small>响应式曲线、独立视窗、平移缩放与分析</small></button>
|
||||
</div>
|
||||
</section>
|
||||
<section class="tool-group">
|
||||
<header><span>02</span><div><b>知识与表达</b><small>查询、排版与规范表达</small></div></header>
|
||||
<div class="tool-grid">
|
||||
<button class="tool-card" data-tool="symbols"><span>Σ</span><b>数学符号查询</b><small>含义、读法与 LaTeX 写法</small></button>
|
||||
<button class="tool-card" data-tool="graph"><span>⌁</span><b>函数图形绘制</b><small>多函数、参数、导数与分析</small></button>
|
||||
<button class="tool-card" data-tool="latex"><span>TeX</span><b>LaTeX Lab</b><small>编辑、实时预览与版本保存</small></button>
|
||||
</div>
|
||||
</section>
|
||||
<section class="tool-group">
|
||||
<header><span>03</span><div><b>创作与协作</b><small>把思路画出来并实时分享</small></div></header>
|
||||
<div class="tool-grid">
|
||||
<button class="tool-card" data-tool="whiteboard"><span>✎△</span><b>数学画板</b><small>白板、几何、联机展示与你画我猜</small></button>
|
||||
<button class="tool-card" data-tool="latex"><span>TeX</span><b>LaTeX Lab</b><small>编辑、预览、课程与公式库</small></button>
|
||||
</div>
|
||||
</section>
|
||||
</div>
|
||||
|
||||
<div class="tool-workspace active" id="tool-calculator">
|
||||
<div class="workspace-heading"><div><span class="kicker">COMPUTATION STUDIO</span><h2>数学计算工作台</h2></div><p>精确值、方程、微积分、矩阵、统计与进制转换由受限数学内核计算。</p></div>
|
||||
<div class="workspace-heading"><div><span class="kicker">SYMBOLIC COMPUTATION STUDIO</span><h2>高级计算工作台</h2></div><p>受限 SymPy 内核提供精确符号计算、多元分析、线性代数和数据换算。</p></div>
|
||||
<div class="calculator-shell advanced-calculator">
|
||||
<div class="calc-category-tabs" aria-label="计算分类">
|
||||
<button class="active" data-calc-category="algebra">代数与方程</button>
|
||||
<button data-calc-category="calculus">微积分与多元分析</button>
|
||||
<button data-calc-category="linear">线性代数</button>
|
||||
<button data-calc-category="data">数据与换算</button>
|
||||
</div>
|
||||
<div class="calculator-controls">
|
||||
<label>计算类型
|
||||
<select id="calc-operation">
|
||||
<optgroup label="代数与方程" data-calc-category-options="algebra">
|
||||
<option value="calculate">精确计算</option>
|
||||
<option value="simplify">表达式化简</option>
|
||||
<option value="expand">代数展开</option>
|
||||
<option value="factor">因式分解</option>
|
||||
<option value="solve">解方程</option>
|
||||
<option value="derivative">求导</option>
|
||||
<option value="integral">积分</option>
|
||||
<option value="limit">极限</option>
|
||||
<option value="solve">符号解方程</option>
|
||||
<option value="solve_system">解多元方程组</option>
|
||||
<option value="polynomial_roots">多项式全部数值根</option>
|
||||
</optgroup>
|
||||
<optgroup label="微积分与多元分析" data-calc-category-options="calculus">
|
||||
<option value="derivative">高阶导数</option>
|
||||
<option value="integral">定积分 / 不定积分</option>
|
||||
<option value="limit">单侧 / 双侧极限</option>
|
||||
<option value="series">Taylor / Laurent 级数</option>
|
||||
<option value="gradient">梯度</option>
|
||||
<option value="hessian">Hessian 矩阵</option>
|
||||
</optgroup>
|
||||
<optgroup label="线性代数" data-calc-category-options="linear">
|
||||
<option value="matrix_det">矩阵行列式</option>
|
||||
<option value="matrix_inverse">逆矩阵</option>
|
||||
<option value="matrix_rref">矩阵行最简形</option>
|
||||
<option value="matrix_transpose">矩阵转置</option>
|
||||
<option value="statistics">描述统计</option>
|
||||
<option value="matrix_rank">矩阵秩</option>
|
||||
<option value="matrix_nullspace">零空间基</option>
|
||||
<option value="matrix_eigenvalues">特征值与重数</option>
|
||||
</optgroup>
|
||||
<optgroup label="数据与换算" data-calc-category-options="data">
|
||||
<option value="statistics">增强描述统计</option>
|
||||
<option value="base">进制转换</option>
|
||||
<option value="unit">单位换算</option>
|
||||
</optgroup>
|
||||
</select>
|
||||
</label>
|
||||
<label>变量
|
||||
<select id="calc-variable"><option>x</option><option>y</option><option>z</option><option>a</option><option>b</option><option>t</option><option>n</option></select>
|
||||
</label>
|
||||
<label class="calc-field" data-calc-field="order">阶数<input id="calc-order" type="number" min="1" max="5" value="1"></label>
|
||||
<label class="calc-field" data-calc-field="variables">变量列表<input id="calc-variables" value="x,y" placeholder="例如 x,y"></label>
|
||||
<label class="calc-field" data-calc-field="order">阶数<input id="calc-order" type="number" min="1" max="12" value="1"></label>
|
||||
<label class="calc-field" data-calc-field="bounds">下限<input id="calc-lower" placeholder="可留空"></label>
|
||||
<label class="calc-field" data-calc-field="bounds">上限<input id="calc-upper" placeholder="可留空"></label>
|
||||
<label class="calc-field" data-calc-field="point">趋近值<input id="calc-point" value="0"></label>
|
||||
<label class="calc-field" data-calc-field="direction">方向<select id="calc-direction"><option value="+-">双侧</option><option value="+">右极限</option><option value="-">左极限</option></select></label>
|
||||
<label class="calc-field" data-calc-field="base">原进制<input id="calc-from-base" type="number" min="2" max="36" value="10"></label>
|
||||
<label class="calc-field" data-calc-field="base">目标进制<input id="calc-to-base" type="number" min="2" max="36" value="2"></label>
|
||||
<label class="calc-field" data-calc-field="unit">原单位<select id="calc-from-unit"><option>mm</option><option>cm</option><option selected>m</option><option>km</option><option>in</option><option>ft</option><option>g</option><option>kg</option><option>lb</option><option>s</option><option>min</option><option>h</option><option>deg</option><option>rad</option></select></label>
|
||||
@@ -262,13 +300,13 @@
|
||||
<label class="calculator-expression-label">表达式或数据
|
||||
<textarea id="calc-input" class="formula-input" autocomplete="off" aria-label="计算表达式">sqrt(2) + 1/3</textarea>
|
||||
</label>
|
||||
<p id="calc-hint" class="calc-hint">支持精确常量、函数与变量；按 Command/Ctrl + Enter 运行。</p>
|
||||
<div class="calculator-actions calc-examples">
|
||||
<button data-calc-operation="solve" data-calc-example="x^2 - 5*x + 6 = 0">解方程</button>
|
||||
<button data-calc-operation="derivative" data-calc-example="sin(x) + x^3">求导</button>
|
||||
<button data-calc-operation="integral" data-calc-example="x^2">积分</button>
|
||||
<button data-calc-operation="matrix_inverse" data-calc-example="1,2;3,4">逆矩阵</button>
|
||||
<button data-calc-operation="statistics" data-calc-example="12,15,18,21,24">统计</button>
|
||||
<button data-calc-operation="unit" data-calc-example="1.75">单位换算</button>
|
||||
<button data-calc-operation="solve_system" data-calc-example="x + y = 5; x - y = 1">方程组</button>
|
||||
<button data-calc-operation="series" data-calc-example="exp(x)*cos(x)">级数展开</button>
|
||||
<button data-calc-operation="hessian" data-calc-example="x^2 + x*y + y^2">Hessian</button>
|
||||
<button data-calc-operation="matrix_eigenvalues" data-calc-example="2,1;1,2">特征值</button>
|
||||
<button data-calc-operation="statistics" data-calc-example="12,15,18,21,24">增强统计</button>
|
||||
<button id="calc-run" class="primary-button">开始计算</button>
|
||||
</div>
|
||||
<div class="calculator-result" aria-live="polite">
|
||||
@@ -288,23 +326,47 @@
|
||||
</div>
|
||||
|
||||
<div class="tool-workspace" id="tool-graph">
|
||||
<div class="workspace-heading"><div><span class="kicker">FUNCTION PLOTTER</span><h2>函数图形绘制</h2></div><p>每行一个函数；支持参数 a、数值导数、积分区域和曲线分析。</p></div>
|
||||
<div class="graph-shell">
|
||||
<div class="graph-controls">
|
||||
<div class="workspace-heading"><div><span class="kicker">INTERACTIVE FUNCTION EXPLORER</span><h2>函数探索器</h2></div><p>每条曲线独立编辑；画布随容器缩放，支持平移、滚轮缩放、自动取景和清晰刻度。</p></div>
|
||||
<div class="graph-shell advanced-graph-shell">
|
||||
<aside class="graph-controls">
|
||||
<details class="function-syntax-help" open>
|
||||
<summary>函数书写规则</summary>
|
||||
<p>每行一个表达式，直接写右侧：<code>sin(x)</code>、<code>x^2 - 2*x + 1</code>、<code>sqrt(abs(x))</code>。乘法必须写 <code>*</code>，幂可写 <code>^</code>，参数仅支持 <code>a</code>。</p>
|
||||
<p>直接写右侧：<code>sin(x)</code>、<code>x^2 - 2*x + 1</code>、<code>sqrt(abs(x))</code>。乘法写 <code>*</code>，幂写 <code>^</code>，可使用参数 <code>a</code>。</p>
|
||||
</details>
|
||||
<label>函数列表<textarea id="graph-expression" class="formula-input">sin(x) + a*x/3 0.08*x^2 - 2</textarea></label>
|
||||
<label>X 范围<input id="graph-range" type="range" min="5" max="30" value="10"><span id="graph-range-label">−10 到 10</span></label>
|
||||
<label>参数 a<input id="graph-parameter" type="range" min="-5" max="5" step="0.1" value="1"><span id="graph-parameter-label">a = 1</span></label>
|
||||
<label class="check-row"><input id="graph-derivative" type="checkbox"> 绘制第一条函数的导数</label>
|
||||
<label class="check-row"><input id="graph-integral" type="checkbox"> 填充第一条函数与 x 轴区域</label>
|
||||
<button id="graph-run" class="primary-button">绘制函数</button>
|
||||
<p id="graph-error"></p>
|
||||
<div id="graph-analysis" class="graph-analysis"></div>
|
||||
<div class="graph-functions-heading"><b>函数列表</b><button id="graph-add-function" type="button">+ 添加曲线</button></div>
|
||||
<div id="graph-function-list" class="graph-function-list"></div>
|
||||
<div class="graph-parameter-control">
|
||||
<label>参数 a <output id="graph-parameter-label">1.0</output></label>
|
||||
<input id="graph-parameter" type="range" min="-10" max="10" step="0.1" value="1">
|
||||
</div>
|
||||
<canvas id="graph-canvas" width="900" height="480" aria-label="函数曲线图"></canvas>
|
||||
<details class="graph-viewport-controls" open>
|
||||
<summary>坐标视窗</summary>
|
||||
<div class="graph-range-grid">
|
||||
<label>X 最小<input id="graph-x-min" type="number" step="any" value="-10"></label>
|
||||
<label>X 最大<input id="graph-x-max" type="number" step="any" value="10"></label>
|
||||
<label>Y 最小<input id="graph-y-min" type="number" step="any" value="-6"></label>
|
||||
<label>Y 最大<input id="graph-y-max" type="number" step="any" value="6"></label>
|
||||
</div>
|
||||
<label class="check-row"><input id="graph-auto-y" type="checkbox" checked> 根据可见曲线自动计算 Y 范围</label>
|
||||
</details>
|
||||
<div class="graph-option-grid">
|
||||
<label class="check-row"><input id="graph-grid" type="checkbox" checked> 网格与刻度</label>
|
||||
<label class="check-row"><input id="graph-derivative" type="checkbox"> 第一条曲线导数</label>
|
||||
<label class="check-row"><input id="graph-integral" type="checkbox"> 第一条曲线积分区域</label>
|
||||
</div>
|
||||
<div class="graph-actions">
|
||||
<button id="graph-auto-fit" type="button">自动取景</button>
|
||||
<button id="graph-reset-view" type="button">重置视窗</button>
|
||||
<button id="graph-run" class="primary-button">重新绘制</button>
|
||||
</div>
|
||||
<p id="graph-error"></p>
|
||||
</aside>
|
||||
<section class="graph-stage">
|
||||
<div id="graph-legend" class="graph-legend"></div>
|
||||
<canvas id="graph-canvas" aria-label="可交互函数坐标图"></canvas>
|
||||
<div class="graph-stage-hint">拖动画布平移 · 滚轮或触控板缩放 · 双击自动取景</div>
|
||||
<div id="graph-analysis" class="graph-analysis"></div>
|
||||
</section>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
@@ -478,6 +540,7 @@
|
||||
<div class="toast" id="toast" role="status"></div>
|
||||
<div class="csrf-token">{% csrf_token %}</div>
|
||||
<script src="{% static 'vendor/katex/katex.min.js' %}" defer></script>
|
||||
<script src="{% static 'js/graph.js' %}" defer></script>
|
||||
<script src="{% static 'js/toolbox.js' %}" defer></script>
|
||||
<script src="{% static 'js/games.js' %}" defer></script>
|
||||
<script src="{% static 'js/realtime.js' %}" defer></script>
|
||||
|
||||
+135
-2
@@ -1,13 +1,17 @@
|
||||
import ast
|
||||
import math
|
||||
from statistics import mean, median, pstdev, pvariance
|
||||
from statistics import mean, median, pstdev, pvariance, quantiles
|
||||
|
||||
import sympy as sp
|
||||
from mpmath.libmp.libhyper import NoConvergence
|
||||
from rest_framework.exceptions import ValidationError
|
||||
|
||||
MAX_EXPRESSION_LENGTH = 500
|
||||
MAX_AST_NODES = 120
|
||||
MAX_MATRIX_CELLS = 36
|
||||
MAX_SERIES_ORDER = 12
|
||||
MAX_SYSTEM_EQUATIONS = 6
|
||||
MAX_POLYNOMIAL_DEGREE = 12
|
||||
SYMBOLS = {name: sp.Symbol(name, real=True) for name in ("x", "y", "z", "a", "b", "t", "n")}
|
||||
CONSTANTS = {"pi": sp.pi, "e": sp.E, "E": sp.E, "i": sp.I, "I": sp.I}
|
||||
FUNCTIONS = {
|
||||
@@ -188,6 +192,31 @@ def parse_number_list(source):
|
||||
return values
|
||||
|
||||
|
||||
def parse_variables(raw_variables, fallback="x"):
|
||||
names = [
|
||||
item.strip()
|
||||
for item in str(raw_variables or fallback).split(",")
|
||||
if item.strip()
|
||||
]
|
||||
if not names or len(names) > 4 or len(set(names)) != len(names):
|
||||
raise ValidationError({"variables": "变量应为 1 到 4 个不重复名称"})
|
||||
try:
|
||||
return [SYMBOLS[name] for name in names]
|
||||
except KeyError as exc:
|
||||
raise ValidationError(
|
||||
{"variables": "变量仅支持 x、y、z、a、b、t、n"}
|
||||
) from exc
|
||||
|
||||
|
||||
def parse_equation_system(source):
|
||||
parts = [item.strip() for item in str(source or "").split(";") if item.strip()]
|
||||
if not 1 <= len(parts) <= MAX_SYSTEM_EQUATIONS:
|
||||
raise ValidationError(
|
||||
{"expression": "方程组应使用分号分隔，最多支持 6 个方程"}
|
||||
)
|
||||
return [parse_equation(item) for item in parts]
|
||||
|
||||
|
||||
def calculate(payload):
|
||||
operation = str(payload.get("operation", "calculate"))
|
||||
source = payload.get("expression", "")
|
||||
@@ -198,14 +227,23 @@ def calculate(payload):
|
||||
|
||||
if operation == "statistics":
|
||||
values = parse_number_list(source)
|
||||
quartile_values = (
|
||||
quantiles(values, n=4, method="inclusive")
|
||||
if len(values) > 1
|
||||
else [values[0], values[0], values[0]]
|
||||
)
|
||||
result = {
|
||||
"count": len(values),
|
||||
"sum": sum(values),
|
||||
"mean": mean(values),
|
||||
"median": median(values),
|
||||
"variance": pvariance(values),
|
||||
"standard_deviation": pstdev(values),
|
||||
"minimum": min(values),
|
||||
"q1": quartile_values[0],
|
||||
"q3": quartile_values[2],
|
||||
"maximum": max(values),
|
||||
"range": max(values) - min(values),
|
||||
}
|
||||
return {
|
||||
"operation": operation,
|
||||
@@ -278,11 +316,43 @@ def calculate(payload):
|
||||
elif operation == "matrix_transpose":
|
||||
result = matrix.T
|
||||
steps = ["读取矩阵", "交换行列"]
|
||||
elif operation == "matrix_rank":
|
||||
result = matrix.rank()
|
||||
steps = ["读取矩阵", "执行行变换", "计算矩阵秩"]
|
||||
elif operation == "matrix_nullspace":
|
||||
result = matrix.nullspace()
|
||||
steps = ["读取矩阵", "求解齐次线性方程组", "得到零空间基"]
|
||||
elif operation == "matrix_eigenvalues":
|
||||
if not matrix.is_square:
|
||||
raise ValidationError({"expression": "特征值要求方阵"})
|
||||
result = matrix.eigenvals()
|
||||
steps = ["读取方阵", "构造特征多项式", "计算特征值及重数"]
|
||||
else:
|
||||
raise ValidationError({"operation": "不支持的矩阵操作"})
|
||||
return {"operation": operation, "result": serialize_math(result), "steps": steps}
|
||||
|
||||
expression = parse_equation(source) if operation == "solve" else parse_expression(source)
|
||||
if operation == "solve_system":
|
||||
variables = parse_variables(payload.get("variables"), variable_name)
|
||||
equations = parse_equation_system(source)
|
||||
result = sp.solve(equations, variables, dict=True)
|
||||
if len(result) > 50:
|
||||
raise ValidationError({"expression": "方程组解的数量过多"})
|
||||
return {
|
||||
"operation": operation,
|
||||
"result": serialize_math(result),
|
||||
"steps": [
|
||||
f"读取 {len(equations)} 个方程",
|
||||
f"以 {', '.join(str(item) for item in variables)} 为未知量",
|
||||
"联立消元并求解",
|
||||
],
|
||||
}
|
||||
|
||||
equation_operations = {"solve", "polynomial_roots"}
|
||||
expression = (
|
||||
parse_equation(source)
|
||||
if operation in equation_operations
|
||||
else parse_expression(source)
|
||||
)
|
||||
steps = ["解析受限数学表达式"]
|
||||
if operation == "calculate":
|
||||
result = sp.simplify(expression)
|
||||
@@ -301,8 +371,39 @@ def calculate(payload):
|
||||
if len(result) > 50:
|
||||
raise ValidationError({"expression": "解的数量过多"})
|
||||
steps.extend([f"以 {variable_name} 为未知量", "求解方程"])
|
||||
elif operation == "polynomial_roots":
|
||||
polynomial_expression = (
|
||||
expression.lhs - expression.rhs
|
||||
if isinstance(expression, sp.Equality)
|
||||
else expression
|
||||
)
|
||||
if polynomial_expression.free_symbols - {variable}:
|
||||
raise ValidationError({"expression": "数值求根仅支持所选变量"})
|
||||
try:
|
||||
polynomial = sp.Poly(polynomial_expression, variable)
|
||||
except sp.PolynomialError as exc:
|
||||
raise ValidationError({"expression": "请输入单变量多项式"}) from exc
|
||||
if not 1 <= polynomial.degree() <= MAX_POLYNOMIAL_DEGREE:
|
||||
raise ValidationError(
|
||||
{"expression": "数值求根支持 1 到 12 次单变量多项式"}
|
||||
)
|
||||
try:
|
||||
result = list(sp.nroots(polynomial, n=12, maxsteps=100))
|
||||
except NoConvergence as exc:
|
||||
raise ValidationError(
|
||||
{"expression": "数值求根未收敛，请简化多项式后重试"}
|
||||
) from exc
|
||||
steps.extend(
|
||||
[
|
||||
f"构造 {polynomial.degree()} 次多项式",
|
||||
"使用高精度数值方法计算全部根",
|
||||
]
|
||||
)
|
||||
elif operation == "derivative":
|
||||
try:
|
||||
order = int(payload.get("order", 1))
|
||||
except (TypeError, ValueError) as exc:
|
||||
raise ValidationError({"order": "导数阶数必须是整数"}) from exc
|
||||
if not 1 <= order <= 5:
|
||||
raise ValidationError({"order": "导数阶数必须在 1 到 5 之间"})
|
||||
result = sp.diff(expression, variable, order)
|
||||
@@ -328,6 +429,38 @@ def calculate(payload):
|
||||
raise ValidationError({"direction": "极限方向必须为 +、- 或 +-"})
|
||||
result = sp.limit(expression, variable, point, dir=direction)
|
||||
steps.append(f"令 {variable_name} 趋近 {point}")
|
||||
elif operation == "series":
|
||||
point = parse_expression(payload.get("point", "0"))
|
||||
try:
|
||||
order = int(payload.get("order", 6))
|
||||
except (TypeError, ValueError) as exc:
|
||||
raise ValidationError({"order": "级数展开阶数必须是整数"}) from exc
|
||||
if not 1 <= order <= MAX_SERIES_ORDER:
|
||||
raise ValidationError(
|
||||
{"order": f"级数展开阶数必须在 1 到 {MAX_SERIES_ORDER} 之间"}
|
||||
)
|
||||
result = sp.series(expression, variable, point, order)
|
||||
steps.append(
|
||||
f"在 {variable_name} = {point} 附近展开到 {order - 1} 阶"
|
||||
)
|
||||
elif operation == "gradient":
|
||||
variables = parse_variables(payload.get("variables"), variable_name)
|
||||
result = sp.Matrix([sp.diff(expression, item) for item in variables])
|
||||
steps.extend(
|
||||
[
|
||||
f"选取变量 {', '.join(str(item) for item in variables)}",
|
||||
"分别计算一阶偏导并组成梯度",
|
||||
]
|
||||
)
|
||||
elif operation == "hessian":
|
||||
variables = parse_variables(payload.get("variables"), variable_name)
|
||||
result = sp.hessian(expression, variables)
|
||||
steps.extend(
|
||||
[
|
||||
f"选取变量 {', '.join(str(item) for item in variables)}",
|
||||
"计算全部二阶偏导并组成 Hessian 矩阵",
|
||||
]
|
||||
)
|
||||
else:
|
||||
raise ValidationError({"operation": "不支持的计算类型"})
|
||||
return {"operation": operation, "result": serialize_math(result), "steps": steps}
|
||||
|
||||
@@ -49,6 +49,108 @@ def test_calculate_方程矩阵统计与进制():
|
||||
assert combinations["result"]["exact"] == "120"
|
||||
|
||||
|
||||
def test_calculate_高级微积分与多元分析():
|
||||
series = calculate(
|
||||
{
|
||||
"operation": "series",
|
||||
"expression": "exp(x)",
|
||||
"variable": "x",
|
||||
"point": "0",
|
||||
"order": 5,
|
||||
}
|
||||
)
|
||||
gradient = calculate(
|
||||
{
|
||||
"operation": "gradient",
|
||||
"expression": "x^2*y + sin(y)",
|
||||
"variables": "x,y",
|
||||
}
|
||||
)
|
||||
hessian = calculate(
|
||||
{
|
||||
"operation": "hessian",
|
||||
"expression": "x^2 + x*y + y^2",
|
||||
"variables": "x,y",
|
||||
}
|
||||
)
|
||||
roots = calculate(
|
||||
{
|
||||
"operation": "polynomial_roots",
|
||||
"expression": "x^3 - 1 = 0",
|
||||
"variable": "x",
|
||||
}
|
||||
)
|
||||
|
||||
assert "x**4/24" in series["result"]["exact"]
|
||||
assert gradient["result"]["exact"] == "[[2*x*y], [x**2 + cos(y)]]"
|
||||
assert hessian["result"]["exact"] == "[[2, 1], [1, 2]]"
|
||||
assert len(roots["result"]) == 3
|
||||
|
||||
|
||||
def test_calculate_线性代数与方程组():
|
||||
system = calculate(
|
||||
{
|
||||
"operation": "solve_system",
|
||||
"expression": "x + y = 5; x - y = 1",
|
||||
"variables": "x,y",
|
||||
}
|
||||
)
|
||||
rank = calculate(
|
||||
{"operation": "matrix_rank", "expression": "1,2,3;2,4,6"}
|
||||
)
|
||||
nullspace = calculate(
|
||||
{"operation": "matrix_nullspace", "expression": "1,2;2,4"}
|
||||
)
|
||||
eigenvalues = calculate(
|
||||
{"operation": "matrix_eigenvalues", "expression": "2,0;0,3"}
|
||||
)
|
||||
|
||||
assert system["result"][0]["x"]["exact"] == "3"
|
||||
assert system["result"][0]["y"]["exact"] == "2"
|
||||
assert rank["result"]["exact"] == "1"
|
||||
assert nullspace["result"][0]["exact"] == "[[-2], [1]]"
|
||||
assert set(eigenvalues["result"]) == {"2", "3"}
|
||||
|
||||
|
||||
def test_calculate_统计包含四分位数与极差():
|
||||
result = calculate(
|
||||
{"operation": "statistics", "expression": "1,2,3,4,5"}
|
||||
)["result"]
|
||||
|
||||
assert result["sum"] == 15
|
||||
assert result["q1"] == 2
|
||||
assert result["q3"] == 4
|
||||
assert result["range"] == 4
|
||||
|
||||
|
||||
@pytest.mark.parametrize(
|
||||
("payload", "field"),
|
||||
[
|
||||
(
|
||||
{
|
||||
"operation": "series",
|
||||
"expression": "exp(x)",
|
||||
"order": "not-an-integer",
|
||||
},
|
||||
"order",
|
||||
),
|
||||
(
|
||||
{
|
||||
"operation": "polynomial_roots",
|
||||
"expression": "x + y",
|
||||
"variable": "x",
|
||||
},
|
||||
"expression",
|
||||
),
|
||||
],
|
||||
)
|
||||
def test_calculate_高级操作返回可读校验错误(payload, field):
|
||||
with pytest.raises(ValidationError) as exc_info:
|
||||
calculate(payload)
|
||||
|
||||
assert field in exc_info.value.detail
|
||||
|
||||
|
||||
@pytest.mark.parametrize(
|
||||
"source",
|
||||
[
|
||||
|
||||
@@ -0,0 +1,58 @@
|
||||
# Hulumath v1.2.1 Release Notes
|
||||
|
||||
发布日期：待功能分支合并并通过生产冒烟后填写。
|
||||
|
||||
## 版本主题
|
||||
|
||||
v1.2.1 聚焦数学工具箱：按实际任务重新分类入口，扩展符号计算能力，并将函数绘图升级为可交互、响应式的函数探索器。数学画板与 LaTeX Lab 保持 v1.2.0 的行为。
|
||||
|
||||
## 主要变化
|
||||
|
||||
### 工具分类
|
||||
|
||||
- 删除工具箱中的“口算竞技”入口；口算玩法仍归属比赛模块。
|
||||
- 工具按“计算与探索”“知识与表达”“创作与协作”分组。
|
||||
- 高级计算工作台按代数、微积分、线性代数、数据换算提供分类切换。
|
||||
|
||||
### 高级计算工作台
|
||||
|
||||
- 新增 Taylor/Laurent 级数、梯度、Hessian 矩阵。
|
||||
- 新增多元方程组求解和 1 至 12 次多项式数值求根。
|
||||
- 新增矩阵秩、零空间基、特征值及代数重数。
|
||||
- 描述统计新增总和、四分位数和极差。
|
||||
- 继续使用受限 AST 与 SymPy 内核，不执行用户输入代码。
|
||||
|
||||
### 函数探索器
|
||||
|
||||
- 动态增删最多 8 条曲线，每条曲线可独立显示、隐藏和设置颜色。
|
||||
- X/Y 视窗独立输入，支持自动 Y 范围与重置视窗。
|
||||
- Canvas 随容器响应式缩放，并按设备像素比生成清晰位图。
|
||||
- 支持拖动平移、滚轮或触控板缩放、双击自动取景。
|
||||
- 坐标轴增加刻度、数值标签和方向箭头。
|
||||
- 保留参数 `a`、第一条曲线导数、积分区域、近似零点和极值分析。
|
||||
- 支持 `sqrt(x)` 等只在部分视窗有定义的函数，不因单个采样点无效而中止绘图。
|
||||
|
||||
## 兼容与迁移
|
||||
|
||||
- 本版本没有数据库迁移。
|
||||
- 画板 WebSocket、LaTeX 文档和已保存数据结构不变。
|
||||
- 发布时仍须先执行 `collectstatic`，成功后再执行 `migrate`。
|
||||
|
||||
## 发布检查
|
||||
|
||||
```bash
|
||||
make check
|
||||
make test
|
||||
cd backend && ../.venv/bin/python manage.py collectstatic --noinput
|
||||
cd backend && ../.venv/bin/python manage.py migrate --noinput
|
||||
```
|
||||
|
||||
生产部署后检查：
|
||||
|
||||
```text
|
||||
/health/ version == 1.2.1
|
||||
高级计算分类与示例可运行
|
||||
函数列表可动态增删
|
||||
桌面和手机端坐标轴、缩放与平移正常
|
||||
数学画板与 LaTeX Lab 回归正常
|
||||
```
|
||||
Reference in New Issue
Block a user