(function () { const $tool = (selector, root = document) => root.querySelector(selector); const $$tool = (selector, root = document) => [...root.querySelectorAll(selector)]; const CALC_FIELDS = { derivative: ["order"], integral: ["bounds"], limit: ["point", "direction"], series: ["point", "order"], solve_system: ["variables"], gradient: ["variables"], hessian: ["variables"], base: ["base"], unit: ["unit"], }; const CALC_OPERATION_META = { statistics: { placeholder: "12, 15, 18, 21, 24", hint: "使用逗号分隔数据,返回四分位数、方差、标准差、极差等统计量。", }, base: { placeholder: "FF", hint: "输入不带前缀的整数,原进制与目标进制均支持 2 到 36。", }, solve: { placeholder: "x^2 - 5*x + 6 = 0", hint: "可省略等号右侧;通过“变量”指定要求解的未知量。", }, solve_system: { placeholder: "x + y = 5; x - y = 1", hint: "使用分号分隔方程,通过“变量列表”指定未知量,最多 4 个变量、6 个方程。", }, polynomial_roots: { placeholder: "x^5 - x + 1 = 0", hint: "返回至多 12 次单变量多项式的全部高精度数值根,包括复根。", }, series: { placeholder: "exp(x) * cos(x)", hint: "在指定点附近展开;“阶数 6”表示保留到 5 阶并显示余项。", order: 6, }, gradient: { placeholder: "x^2*y + sin(y)", hint: "变量列表示例:x,y。结果按该顺序组成梯度列向量。", }, hessian: { placeholder: "x^2 + x*y + y^2", hint: "变量列表示例:x,y。结果为二阶偏导组成的 Hessian 矩阵。", }, matrix_det: { placeholder: "1,2;3,4", hint: "逗号分列、分号分行,最多 36 个元素。" }, matrix_inverse: { placeholder: "1,2;3,4", hint: "逆矩阵要求方阵且行列式非零。" }, matrix_rref: { placeholder: "1,2,3;2,4,6", hint: "返回矩阵的行最简形。" }, matrix_transpose: { placeholder: "1,2,3;4,5,6", hint: "交换矩阵的行与列。" }, matrix_rank: { placeholder: "1,2,3;2,4,6", hint: "通过精确行变换计算矩阵秩。" }, matrix_nullspace: { placeholder: "1,2;2,4", hint: "返回齐次方程组对应零空间的一组基。" }, matrix_eigenvalues: { placeholder: "2,1;1,2", hint: "要求方阵,返回特征值及其代数重数。" }, }; function calculatorCategoryFor(operation) { const option = [...$tool("#calc-operation").options].find( (item) => item.value === operation, ); return option?.parentElement?.dataset.calcCategoryOptions || "algebra"; } function setCalculatorCategory(category, selectFirst = true) { const select = $tool("#calc-operation"); $$tool("[data-calc-category-options]").forEach((group) => { const active = group.dataset.calcCategoryOptions === category; group.hidden = !active; group.disabled = !active; }); $$tool("[data-calc-category]").forEach((button) => { button.classList.toggle( "active", button.dataset.calcCategory === category, ); }); if (selectFirst) { const group = $tool( `[data-calc-category-options="${category}"]`, ); if (group?.querySelector("option")) { select.value = group.querySelector("option").value; } } updateCalculatorFields(); } function resultText(value, field = "exact") { if (Array.isArray(value)) { return value.map((item) => resultText(item, field)).join("; "); } if (value && typeof value === "object") { if ("exact" in value) return value[field] || value.exact; return Object.entries(value) .map(([key, item]) => `${key}: ${resultText(item, field)}`) .join("; "); } return String(value ?? ""); } function formatCalculatorResult(result) { return { exact: resultText(result, "exact"), decimal: resultText(result, "decimal"), latex: resultText(result, "latex"), }; } function updateCalculatorFields() { const operation = $tool("#calc-operation").value; const visible = new Set(CALC_FIELDS[operation] || []); $$tool("[data-calc-field]").forEach((field) => { field.hidden = !visible.has(field.dataset.calcField); }); 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() { const button = $tool("#calc-run"); const operation = $tool("#calc-operation").value; const expression = $tool("#calc-input").value.trim(); button.disabled = true; $tool("#calc-history").textContent = "数学内核正在计算…"; try { const payload = await api("toolbox/calculate/", { method: "POST", body: { 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, to_unit: $tool("#calc-to-unit").value, }, }); const result = formatCalculatorResult(payload.result); $tool("#calc-history").textContent = `${operation} · ${expression}`; $tool("#calc-output").textContent = result.exact || "完成"; $tool("#calc-decimal").textContent = result.decimal || result.exact || "—"; $tool("#calc-latex").textContent = result.latex || result.exact || "—"; $tool("#calc-steps").replaceChildren( ...(payload.steps || []).map((step) => { const item = document.createElement("li"); item.textContent = step; return item; }) ); } catch (error) { $tool("#calc-history").textContent = error.message; $tool("#calc-output").textContent = "计算失败"; $tool("#calc-decimal").textContent = "—"; $tool("#calc-latex").textContent = "—"; $tool("#calc-steps").replaceChildren(); } finally { button.disabled = false; } } function canvasPoint(canvas, event) { const rect = canvas.getBoundingClientRect(); return { x: ((event.clientX - rect.left) / rect.width) * canvas.width, y: ((event.clientY - rect.top) / rect.height) * canvas.height, }; } function downloadCanvas(canvas, name) { const link = document.createElement("a"); link.download = `${name}-${new Date().toISOString().slice(0, 10)}.png`; link.href = canvas.toDataURL("image/png"); link.click(); } class Whiteboard { constructor(canvas) { this.canvas = canvas; this.context = canvas.getContext("2d"); this.tool = "pen"; this.history = []; this.drawing = false; this.start = null; this.preview = null; this.onChange = null; this.reset(); canvas.addEventListener("pointerdown", (event) => this.startDrawing(event)); canvas.addEventListener("pointermove", (event) => this.move(event)); canvas.addEventListener("pointerup", (event) => this.finish(event)); canvas.addEventListener("pointercancel", () => this.cancel()); } reset() { this.context.fillStyle = "#ffffff"; this.context.fillRect(0, 0, this.canvas.width, this.canvas.height); } snapshot() { this.history.push(this.canvas.toDataURL("image/png")); if (this.history.length > 20) this.history.shift(); } emitSnapshot() { if (!this.onChange) return; const data = this.canvas.toDataURL("image/png"); if (data.length <= 700000) this.onChange(data); else showToast("当前画布内容较大,已保留本地编辑但暂停联机同步"); } applySnapshot(data) { if (typeof data !== "string" || !data.startsWith("data:image/")) return; const image = new Image(); image.onload = () => { this.context.clearRect(0, 0, this.canvas.width, this.canvas.height); this.context.drawImage(image, 0, 0, this.canvas.width, this.canvas.height); }; image.src = data; } startDrawing(event) { event.preventDefault(); this.snapshot(); this.drawing = true; this.start = canvasPoint(this.canvas, event); if (this.tool === "text") { const text = $tool("#whiteboard-text").value.trim(); if (!text) { this.history.pop(); showToast("先输入要放到白板的文字或公式"); } else { const size = Math.max(18, Number($tool("#whiteboard-size").value) * 5); this.context.fillStyle = $tool("#whiteboard-color").value; this.context.font = `${size}px "SFMono-Regular", "PingFang SC", sans-serif`; this.context.fillText(text, this.start.x, this.start.y); this.emitSnapshot(); } this.drawing = false; return; } this.preview = this.context.getImageData(0, 0, this.canvas.width, this.canvas.height); this.canvas.setPointerCapture(event.pointerId); this.context.lineCap = "round"; this.context.lineJoin = "round"; this.context.lineWidth = Number($tool("#whiteboard-size").value); this.context.strokeStyle = this.tool === "eraser" ? "#ffffff" : $tool("#whiteboard-color").value; if (this.tool === "pen" || this.tool === "eraser") { this.context.beginPath(); this.context.moveTo(this.start.x, this.start.y); } } move(event) { if (!this.drawing) return; event.preventDefault(); const point = canvasPoint(this.canvas, event); if (this.tool === "pen" || this.tool === "eraser") { this.context.lineTo(point.x, point.y); this.context.stroke(); return; } this.context.putImageData(this.preview, 0, 0); this.context.beginPath(); if (this.tool === "line") { this.context.moveTo(this.start.x, this.start.y); this.context.lineTo(point.x, point.y); } else { this.context.rect( this.start.x, this.start.y, point.x - this.start.x, point.y - this.start.y, ); } this.context.stroke(); } finish(event) { if (!this.drawing) return; this.move(event); this.drawing = false; this.preview = null; this.emitSnapshot(); } cancel() { if (this.preview) this.context.putImageData(this.preview, 0, 0); this.drawing = false; } undo() { const source = this.history.pop(); if (!source) return; const image = new Image(); image.onload = () => { this.context.clearRect(0, 0, this.canvas.width, this.canvas.height); this.context.drawImage(image, 0, 0); this.emitSnapshot(); }; image.src = source; } clear() { this.snapshot(); this.reset(); this.emitSnapshot(); } addGrid() { this.snapshot(); const context = this.context; context.strokeStyle = "#e1e7e1"; context.lineWidth = 1; for (let x = 0; x <= this.canvas.width; x += 50) { context.beginPath(); context.moveTo(x, 0); context.lineTo(x, this.canvas.height); context.stroke(); } for (let y = 0; y <= this.canvas.height; y += 50) { context.beginPath(); context.moveTo(0, y); context.lineTo(this.canvas.width, y); context.stroke(); } context.strokeStyle = "#7a877f"; context.lineWidth = 2; context.beginPath(); context.moveTo(this.canvas.width / 2, 0); context.lineTo(this.canvas.width / 2, this.canvas.height); context.moveTo(0, this.canvas.height / 2); context.lineTo(this.canvas.width, this.canvas.height / 2); context.stroke(); this.emitSnapshot(); } addImage(file) { if (!file) return; const reader = new FileReader(); reader.onload = () => { const image = new Image(); image.onload = () => { this.snapshot(); const scale = Math.min( 1, (this.canvas.width * 0.8) / image.width, (this.canvas.height * 0.8) / image.height, ); this.context.drawImage( image, 30, 30, image.width * scale, image.height * scale, ); this.emitSnapshot(); }; image.src = reader.result; }; reader.readAsDataURL(file); } } class GeometryBoard { constructor(canvas) { this.canvas = canvas; this.context = canvas.getContext("2d"); this.tool = "point"; this.points = []; this.segments = []; this.circles = []; this.history = []; this.pending = []; this.dragging = null; this.onChange = null; canvas.addEventListener("pointerdown", (event) => this.pointerDown(event)); canvas.addEventListener("pointermove", (event) => this.pointerMove(event)); canvas.addEventListener("pointerup", (event) => this.pointerUp(event)); canvas.addEventListener("pointercancel", () => { this.dragging = null; }); this.draw(); } serialize() { return { points: this.points, segments: this.segments, circles: this.circles, }; } emitState() { if (this.onChange) this.onChange(this.serialize()); } applyState(payload) { if ( !payload || !Array.isArray(payload.points) || !Array.isArray(payload.segments) || !Array.isArray(payload.circles) ) { return; } this.points = payload.points.slice(0, 300); this.segments = payload.segments.slice(0, 500); this.circles = payload.circles.slice(0, 300); this.pending = []; this.draw(); } save() { this.history.push( JSON.stringify({ points: this.points, segments: this.segments, circles: this.circles, }) ); if (this.history.length > 30) this.history.shift(); } findOrCreate(point) { const nearest = this.findNearest(point); if (nearest >= 0) return nearest; this.points.push(point); return this.points.length - 1; } findNearest(point) { let nearest = -1; let distance = 28; this.points.forEach((item, index) => { const current = Math.hypot(item.x - point.x, item.y - point.y); if (current < distance) { nearest = index; distance = current; } }); return nearest; } pointerDown(event) { if (this.tool !== "move") return; event.preventDefault(); const nearest = this.findNearest(canvasPoint(this.canvas, event)); if (nearest < 0 || this.points[nearest].derived) return; this.save(); this.dragging = nearest; this.canvas.setPointerCapture(event.pointerId); } pointerMove(event) { if (this.dragging === null) return; event.preventDefault(); const point = canvasPoint(this.canvas, event); this.points[this.dragging] = point; this.draw(); } pointerUp(event) { if (this.tool === "move") { this.pointerMove(event); this.dragging = null; this.emitState(); return; } this.handlePoint(event); } handlePoint(event) { event.preventDefault(); const point = canvasPoint(this.canvas, event); this.save(); if (this.tool === "point") { this.findOrCreate(point); } else { this.pending.push(this.findOrCreate(point)); if (this.pending.length === 2) { const [first, second] = this.pending; if (first !== second && this.tool === "segment") { this.segments.push({ first, second }); } else if (first !== second && this.tool === "circle") { this.circles.push({ center: first, edge: second }); } else if (first !== second && this.tool === "midpoint") { const a = this.points[first]; const b = this.points[second]; this.points.push({ x: (a.x + b.x) / 2, y: (a.y + b.y) / 2, derived: true, parents: [first, second], }); this.segments.push({ first, second, guide: true }); } this.pending = []; } } this.draw(); this.emitState(); $tool("#geometry-hint").textContent = this.pending.length ? "再选择一个点完成构造。" : "可继续创建或切换构造工具。"; } draw() { const context = this.context; const width = this.canvas.width; const height = this.canvas.height; this.points.forEach((point) => { if (!point.derived || !point.parents) return; const first = this.points[point.parents[0]]; const second = this.points[point.parents[1]]; point.x = (first.x + second.x) / 2; point.y = (first.y + second.y) / 2; }); context.fillStyle = "#fbfbf7"; context.fillRect(0, 0, width, height); context.strokeStyle = "#e7e8e2"; context.lineWidth = 1; for (let x = 0; x <= width; x += 50) { context.beginPath(); context.moveTo(x, 0); context.lineTo(x, height); context.stroke(); } for (let y = 0; y <= height; y += 50) { context.beginPath(); context.moveTo(0, y); context.lineTo(width, y); context.stroke(); } this.segments.forEach((segment) => { const first = this.points[segment.first]; const second = this.points[segment.second]; context.strokeStyle = segment.guide ? "#9ca3af" : "#196548"; context.setLineDash(segment.guide ? [8, 6] : []); context.lineWidth = 3; context.beginPath(); context.moveTo(first.x, first.y); context.lineTo(second.x, second.y); context.stroke(); context.setLineDash([]); if ($tool("#geometry-labels").checked) { context.fillStyle = "#47534c"; context.font = "18px sans-serif"; context.fillText( Math.hypot(first.x - second.x, first.y - second.y).toFixed(1), (first.x + second.x) / 2 + 8, (first.y + second.y) / 2 - 8, ); } }); this.circles.forEach((circle) => { const center = this.points[circle.center]; const edge = this.points[circle.edge]; const radius = Math.hypot(center.x - edge.x, center.y - edge.y); context.strokeStyle = "#5d73e8"; context.lineWidth = 3; context.beginPath(); context.arc(center.x, center.y, radius, 0, Math.PI * 2); context.stroke(); }); this.points.forEach((point, index) => { context.fillStyle = point.derived ? "#d86f45" : "#17211b"; context.beginPath(); context.arc(point.x, point.y, 7, 0, Math.PI * 2); context.fill(); if ($tool("#geometry-labels").checked) { context.fillStyle = "#17211b"; context.font = "18px sans-serif"; context.fillText( `${String.fromCharCode(65 + (index % 26))} (${Math.round(point.x)}, ${Math.round(point.y)})`, point.x + 10, point.y - 10, ); } }); } undo() { const state = this.history.pop(); if (!state) return; const parsed = JSON.parse(state); this.points = parsed.points; this.segments = parsed.segments; this.circles = parsed.circles; this.pending = []; this.draw(); this.emitState(); } clear() { this.save(); this.points = []; this.segments = []; this.circles = []; this.pending = []; this.draw(); this.emitState(); } } class BoardRealtime { constructor() { this.session = null; this.socket = null; this.pollTimer = null; } websocketUrl(path) { const protocol = window.location.protocol === "https:" ? "wss:" : "ws:"; return `${protocol}//${window.location.host}${path}`; } close() { if (this.pollTimer) window.clearInterval(this.pollTimer); this.pollTimer = null; if (this.socket) { this.socket.onclose = null; this.socket.close(); } this.socket = null; } async refresh() { if (!this.session?.session_id) return; try { this.session = await api(`toolbox/boards/${this.session.session_id}/`); this.render(); } catch (error) { if (error.status === 404) this.close(); } } connect() { this.close(); if (!this.session?.websocket_path) return; const socket = new WebSocket(this.websocketUrl(this.session.websocket_path)); this.socket = socket; socket.addEventListener("open", () => { this.render("实时连接已建立"); socket.send(JSON.stringify({ type: "ping" })); }); socket.addEventListener("message", async (event) => { let message; try { message = JSON.parse(event.data); } catch { return; } if ( message.type === "canvas" && message.user_id !== String(state.user?.id) ) { whiteboard.applySnapshot(message.payload); } else if ( message.type === "geometry" && message.user_id !== String(state.user?.id) ) { geometry.applyState(message.payload); } else if (message.type === "state") { await this.refresh(); if (message.reason === "joined" && this.session?.role === "host") { this.send("canvas", whiteboard.canvas.toDataURL("image/png")); this.send("geometry", geometry.serialize()); } } else if (message.type === "error") { showToast(message.message); } }); socket.addEventListener("close", () => { this.render("实时连接已断开,正在轮询房间状态"); }); this.pollTimer = window.setInterval(() => this.refresh(), 3000); } send(type, payload) { if (this.socket?.readyState !== WebSocket.OPEN) return; this.socket.send(JSON.stringify({ type, payload })); } async create() { if (!requireAuth()) return; const mode = $tool("#board-session-mode").value; try { this.session = await api("toolbox/boards/", { method: "POST", body: { mode }, }); this.render(); this.connect(); } catch (error) { showToast(error.message); } } async join(event) { event.preventDefault(); if (!requireAuth()) return; const input = $tool("#board-code-input"); try { this.session = await api("toolbox/boards/join/", { method: "POST", body: { code: input.value }, }); input.value = ""; this.render(); this.connect(); } catch (error) { showToast(error.message); } } async guess(event) { event.preventDefault(); if (!this.session) return; const input = $tool("#board-guess-input"); try { const result = await api( `toolbox/boards/${this.session.session_id}/guess/`, { method: "POST", body: { guess: input.value }, }, ); this.session = result; showToast(result.message); if (result.correct) input.value = ""; this.render(); } catch (error) { showToast(error.message); } } render(connectionMessage = "") { const status = $tool("#board-session-status"); const target = $tool("#board-target"); const guessForm = $tool("#board-guess-form"); if (!this.session) { status.textContent = "当前为本地画板,创建或加入后开始实时同步。"; target.hidden = true; guessForm.hidden = true; return; } const participants = this.session.guest ? `${this.session.host} 与 ${this.session.guest}` : `${this.session.host} 正在等待另一位用户`; status.textContent = `${this.session.mode_label} · 联机码 ${this.session.code} · ${participants}` + (connectionMessage ? ` · ${connectionMessage}` : ""); target.hidden = !this.session.target; target.textContent = this.session.target ? `本轮数学对象:${this.session.target}` : ""; guessForm.hidden = !( this.session.mode === "draw_guess" && this.session.role === "guest" && this.session.status === "active" ); if (this.session.status === "completed") { status.textContent += ` · 本轮结束,比分 ${this.session.host_score}:${this.session.guest_score}`; } } } let whiteboard; let geometry; let boardRealtime; function initDrawingTools() { whiteboard = new Whiteboard($tool("#whiteboard-canvas")); geometry = new GeometryBoard($tool("#geometry-canvas")); boardRealtime = new BoardRealtime(); whiteboard.onChange = (payload) => boardRealtime.send("canvas", payload); geometry.onChange = (payload) => boardRealtime.send("geometry", payload); $$tool("[data-board-pane-toggle]").forEach((button) => { button.addEventListener("click", () => { const pane = button.dataset.boardPaneToggle; $$tool("[data-board-pane-toggle]").forEach((item) => { item.classList.toggle("active", item === button); }); $$tool("[data-board-pane]").forEach((item) => { item.classList.toggle("active", item.dataset.boardPane === pane); }); if (pane === "geometry") window.setTimeout(() => geometry.draw(), 30); }); }); $$tool("[data-whiteboard-tool]").forEach((button) => { button.addEventListener("click", () => { whiteboard.tool = button.dataset.whiteboardTool; $$tool("[data-whiteboard-tool]").forEach((item) => item.classList.toggle("active", item === button) ); }); }); $tool("#whiteboard-undo").addEventListener("click", () => whiteboard.undo()); $tool("#whiteboard-clear").addEventListener("click", () => whiteboard.clear()); $tool("#whiteboard-grid").addEventListener("click", () => whiteboard.addGrid()); $tool("#whiteboard-image").addEventListener("change", (event) => { whiteboard.addImage(event.target.files[0]); event.target.value = ""; }); $tool("#whiteboard-export").addEventListener("click", () => downloadCanvas(whiteboard.canvas, "hulumath-whiteboard") ); $$tool("[data-geometry-tool]").forEach((button) => { button.addEventListener("click", () => { geometry.tool = button.dataset.geometryTool; geometry.pending = []; $$tool("[data-geometry-tool]").forEach((item) => item.classList.toggle("active", item === button) ); }); }); $tool("#geometry-labels").addEventListener("change", () => geometry.draw()); $tool("#geometry-undo").addEventListener("click", () => geometry.undo()); $tool("#geometry-clear").addEventListener("click", () => geometry.clear()); $tool("#geometry-export").addEventListener("click", () => downloadCanvas(geometry.canvas, "hulumath-geometry") ); $tool("#board-create").addEventListener("click", () => boardRealtime.create()); $tool("#board-join-form").addEventListener( "submit", (event) => boardRealtime.join(event), ); $tool("#board-guess-form").addEventListener( "submit", (event) => boardRealtime.guess(event), ); $tool("#board-code-input").addEventListener("input", (event) => { event.target.value = event.target.value .toUpperCase() .replace(/[^ABCDEFGHJKLMNPQRSTUVWXYZ23456789]/g, "") .slice(0, 6); }); } function init() { $tool("#calc-operation").addEventListener("change", () => { setCalculatorCategory( calculatorCategoryFor($tool("#calc-operation").value), false, ); }); $$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(); }); $$tool("[data-calc-example]").forEach((button) => { button.addEventListener("click", () => { $tool("#calc-operation").value = button.dataset.calcOperation; $tool("#calc-input").value = button.dataset.calcExample; setCalculatorCategory( calculatorCategoryFor(button.dataset.calcOperation), false, ); runCalculator(); }); }); initDrawingTools(); setCalculatorCategory("algebra", false); window.HuluGraph?.init(); } function activate(tool) { if (tool === "graph") window.setTimeout(() => window.HuluGraph?.resize(), 30); if (tool === "whiteboard") window.setTimeout(() => geometry.draw(), 30); } window.HuluToolbox = { init, activate, runCalculator }; })();