- arm-ik-solver.js:位置闭式支附加 θ6 滚转解算(N=R5^T·R_des,工具轴与 θ6 无关的结构);达标带(e≤1°)按 e 升序取种子 + escalating(惩罚×100 重扫)+ (θ4,θ5) 二维牛顿收口,分层保证"姿态达标再谈省关节角";超可达空间走 6 维阻尼最小二乘(位置 mm+姿态 deg 联合)兜底;自检补姿态重构 - ik-glue.js:姿态控制开关 + 方位/仰角/滚转输入 + 取当前/垂直向下;目标点处方向箭头(弧球法调指向)与粉色侧球/箭杆(调滚转),就近仲裁不抢黄球拖拽;面板显示目标/实际姿态与残差(闭式/场景图双口径) - 界面语义统一为工具朝外法向,入栈绕工具 x 翻 180° 换算求解器内部约定
695 lines
36 KiB
JavaScript
695 lines
36 KiB
JavaScript
/* ============================================================================
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* ik-glue.js —— 把 ArmIK 求解器接到「机器人手臂3D查看器」的场景与 UI 上
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* 依赖查看器全局:JO / TRAVEL / meshes / JG / ang / applyJoint / scene / cam /
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* cv / VC / sel / requestRender / az,po,rd,tx,ty,tz
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* ==========================================================================*/
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(function () {
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'use strict';
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if (typeof ArmIK === 'undefined' || typeof JO === 'undefined') return;
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const D2R = Math.PI / 180;
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const ORDER = ArmIK.ORDER;
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const $ = id => document.getElementById(id);
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const JJ = {}; for (const j of JO) JJ[j.id] = j;
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const CN = {}; for (const id of ORDER) CN[id] = (JJ[id] && JJ[id].cn) || id;
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/* ---------- 0. TCP:末端工具法兰安装面中心(由 J6 组内零件几何自动取得)---------- */
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let tcpZ = 93;
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(function () {
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let lo = Infinity;
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for (const m of meshes) {
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const u = m.userData;
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if (!u || u.grp !== 'J6' || !u.printed || u.name.slice(0, 4) === 'ENV_') continue;
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const b = m.geometry.boundingBox; if (!b) continue;
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lo = Math.min(lo, b.min.y); // 查看器系 y = CAD 系 z
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}
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if (isFinite(lo)) tcpZ = lo;
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})();
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const TCP0 = [JJ.J6.rear[0], JJ.J6.rear[1], tcpZ];
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/* ---------- 1. 建立求解器 ---------- */
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const JMap = {}; for (const j of JO) JMap[j.id] = { rear: j.rear, d: j.d };
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const TR = {}; for (const t of TRAVEL) TR[t.axis] = { lo: t.lo, hi: t.hi, continuous: !!t.continuous };
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const S = ArmIK.make({ joints: JMap, travel: TR, tcp: TCP0 });
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const LIM = S.LIM;
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let lastTool = 0;
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let TGT = [150, 128, 260];
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/* 参考位姿连续项权重:以当前手臂姿态为参考解算,目标微动时锁定同族分支,
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避免某轴在等价分支间大幅倒摆(实测 4mm 步长过边界最多跳 81.9° -> 1.2°) */
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const REF_W = 0.02;
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const curRef = () => ORDER.map(id => ang[id]);
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/* ---------- 1b. 姿态控制状态 ---------- */
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let poseOn = false;
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const POSE = { az: 0, el: 90, roll: 0 }; // 目标姿态:工具轴方位角 / 仰角 + 绕轴滚转(度)
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const Rdes = () => ArmIK.poseMat(POSE.az, POSE.el, POSE.roll);
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const syncPoseInputs = () => {
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$('ikAz').value = (+POSE.az).toFixed(1);
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$('ikEl').value = (+POSE.el).toFixed(1);
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$('ikRoll').value = (+POSE.roll).toFixed(1);
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};
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const fillPoseFromCurrent = () => { // 用当前真实工具姿态回填(开启时避免姿态跳变)
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const a = ArmIK.poseAng(Uof(ORDER.map(id => ang[id])));
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POSE.az = a.az; POSE.el = a.el; POSE.roll = a.roll;
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syncPoseInputs();
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};
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const CAD2V = v => [v[0], v[2], -v[1]]; // CAD 向量 → 查看器坐标(与查看器 VC 一致)
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const V2CAD = v => [v[0], -v[2], v[1]]; // 查看器坐标 → CAD 向量(CAD2V 的逆)
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/* 用户姿态 ↔ 求解器姿态的换算:求解器内部工具坐标系 z 轴取法兰面法向(朝臂内,
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即 TCP 外伸的反向),而界面上的方位/仰角/滚转与箭头都以「工具朝外方向」描述。
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两者相差绕工具 x 轴 180°(x 不变、y/z 取反),入栈/出栈各翻一次即可。 */
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const RX180 = [1, 0, 0, 0, -1, 0, 0, 0, -1];
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const mul3g = (A, B) => {
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const C = new Array(9);
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for (let i = 0; i < 3; i++) for (let j = 0; j < 3; j++)
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C[i * 3 + j] = A[i * 3] * B[j] + A[i * 3 + 1] * B[3 + j] + A[i * 3 + 2] * B[6 + j];
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return C;
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};
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const Rsolver = () => mul3g(Rdes(), RX180); // 交给求解器/场景校验(列 2 = 朝臂内)
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const Uof = q => mul3g(S.orient(q), RX180); // 手臂当前姿态 → 用户系(列 2 = 朝臂外)
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/* ---------- 2. 场景标注 ---------- */
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const gTgt = new THREE.Group(); scene.add(gTgt);
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gTgt.add(new THREE.Mesh(new THREE.SphereGeometry(8.5, 22, 16),
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new THREE.MeshStandardMaterial({ color: 0xffb454, emissive: 0x7a4d05, metalness: .25, roughness: .4 })));
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const AXCOL = [0xff6b6b, 0x3ddc97, 0x4c9aff];
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const AXDIR = [[1, 0, 0], [0, 0, -1], [0, 1, 0]]; // CAD 的 X / Y / Z 在查看器系中的方向
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for (let i = 0; i < 3; i++) {
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const L = 55, d = AXDIR[i], bg = new THREE.BufferGeometry();
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bg.setAttribute('position', new THREE.BufferAttribute(new Float32Array([
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-d[0] * L, -d[1] * L, -d[2] * L, d[0] * L, d[1] * L, d[2] * L]), 3));
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gTgt.add(new THREE.Line(bg, new THREE.LineBasicMaterial({ color: AXCOL[i] })));
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}
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const RING = new THREE.Mesh(new THREE.RingGeometry(9.5, 12.5, 40),
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new THREE.MeshBasicMaterial({ color: 0xffb454, side: THREE.DoubleSide, transparent: true, opacity: .45 }));
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RING.rotation.x = -Math.PI / 2; scene.add(RING);
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const ballTcp = new THREE.Mesh(new THREE.SphereGeometry(6.5, 20, 14),
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new THREE.MeshStandardMaterial({ color: 0x3ddc97, emissive: 0x14603f, metalness: .3, roughness: .35 }));
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JG.J6.add(ballTcp);
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/* 当前工具轴线:TCP 球沿真实工具轴伸出(绿),与目标箭头对照看姿态差 */
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const curGeo = new THREE.BufferGeometry();
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curGeo.setAttribute('position', new THREE.BufferAttribute(new Float32Array(6), 3));
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const curLine = new THREE.Line(curGeo,
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new THREE.LineBasicMaterial({ color: 0x3ddc97, transparent: true, opacity: .95 }));
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scene.add(curLine);
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/* 姿态拖动箭头(挂目标球组,随目标移动):
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拖箭头头部 = 调工具轴指向(方位/俯仰,弧球式);拖箭杆/捏环/粉色侧球 = 绕轴滚转。
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轴向为本地 +Z:杆/锥几何预旋到 +Z,gArrow 再用四元数对准目标工具轴。
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侧球挂在目标点上、沿工具 x 轴侧向偏移——箭头正对镜头时杆身投影缩成一团,
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侧球始终在侧向,任何视角都抓得到。 */
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const AXLEN = 150, HEADL = 26, HEADZ = AXLEN - HEADL / 2, GRIPZ = (AXLEN - HEADL) / 2, KNOBOFF = 0.72 * AXLEN;
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const gArrow = new THREE.Group(); gTgt.add(gArrow);
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const knob = new THREE.Mesh(new THREE.SphereGeometry(9, 18, 12),
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new THREE.MeshStandardMaterial({ color: 0xff8fb0, emissive: 0x5c1f38, metalness: .2, roughness: .4,
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transparent: true, opacity: .8 }));
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knob.userData.role = 'roll';
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gTgt.add(knob);
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const arrowShaft = (function () {
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const g = new THREE.CylinderGeometry(3.0, 3.0, AXLEN - HEADL, 12);
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g.rotateX(Math.PI / 2); // 圆柱默认轴向 Y → +Z
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const m = new THREE.Mesh(g,
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new THREE.MeshStandardMaterial({ color: 0xffb454, emissive: 0x6b4a10, metalness: .2, roughness: .4 }));
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m.position.z = (AXLEN - HEADL) / 2;
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m.userData.role = 'roll'; // 抓杆身 = 滚转
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return m;
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})();
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const arrowRing = (function () {
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const m = new THREE.Mesh(new THREE.TorusGeometry(10, 2.8, 10, 40),
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new THREE.MeshStandardMaterial({ color: 0xff8fb0, emissive: 0x5c1f38, metalness: .2, roughness: .4 }));
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m.rotation.x = Math.PI / 2; // 环面垂直于轴
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m.position.z = GRIPZ;
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m.userData.role = 'roll';
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return m;
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})();
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const arrowHead = (function () {
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const g = new THREE.ConeGeometry(7.5, HEADL, 18);
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g.rotateX(Math.PI / 2);
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const m = new THREE.Mesh(g,
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new THREE.MeshStandardMaterial({ color: 0xffd166, emissive: 0x7a5a10, metalness: .2, roughness: .35 }));
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m.position.z = HEADZ;
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m.userData.role = 'head';
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return m;
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})();
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gArrow.add(arrowShaft, arrowRing, arrowHead);
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const axisViewer = () => { // 目标工具轴在查看器系的方向(单位)
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const R = Rdes(), v = CAD2V([R[2], R[5], R[8]]); // 行主序:列 2 = 工具轴(朝臂外)
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return new THREE.Vector3(v[0], v[1], v[2]).normalize();
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};
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/* 姿态把手拾取返回 'axis' | 'roll' | null(同时不抢黄球的位置拖动):
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· 箭头头与侧球都做「屏幕就近」检测,谁近听谁的(箭头正对镜头时两者投影会靠近);
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· 都够近时黄球优先交回位置拖动;再往后才是箭杆/捏环/箭头锥体的几何射线。 */
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const knobScreen = () => {
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const p = knob.getWorldPosition(new THREE.Vector3()).project(cam);
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const r = cv.getBoundingClientRect();
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return { x: (p.x * .5 + .5) * r.width, y: (-p.y * .5 + .5) * r.height };
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};
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function pickPoseHandle(e) {
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const pt = projTgt();
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const db = Math.hypot(e.offsetX - pt.x, e.offsetY - pt.y);
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const hp = projArrow(HEADZ);
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const dh = Math.hypot(e.offsetX - hp.x, e.offsetY - hp.y);
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const kp = knobScreen();
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const dk = Math.hypot(e.offsetX - kp.x, e.offsetY - kp.y);
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if (dh < 22 && (dk >= 26 || dh <= dk) && dh <= db) return 'axis';
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if (dk < 26 && dk <= db) return 'roll';
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if (db < 26) return null; // 黄球抓取区:交回位置拖动
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ray2.setFromCamera(ndc2(e), cam);
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for (const h of ray2.intersectObjects([arrowShaft, arrowRing, arrowHead, knob], false)) {
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const r = h.object.userData.role;
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if (r === 'head') return 'axis';
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if (r === 'roll') return 'roll';
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}
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return null;
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}
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const linkGeo = new THREE.BufferGeometry();
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linkGeo.setAttribute('position', new THREE.BufferAttribute(new Float32Array(6), 3));
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const linkLine = new THREE.Line(linkGeo,
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new THREE.LineBasicMaterial({ color: 0xffb454, transparent: true, opacity: .9 }));
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scene.add(linkLine);
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const tcpCad = () => [TCP0[0], TCP0[1], TCP0[2] - lastTool];
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function refreshTarget() {
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const v = VC(TGT);
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gTgt.position.set(v[0], v[1], v[2]);
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RING.position.set(-v[0], -v[1], -v[2]);
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RING.visible = VIEW === 'motion' && Math.abs(v[1]) > 14;
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ballTcp.position.set(...VC(tcpCad()));
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scene.updateMatrixWorld(true); // 必须先刷新 6 级矩阵链再读 TCP
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const w = new THREE.Vector3(...VC(tcpCad())).applyMatrix4(JG.J6.matrixWorld);
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const a = gTgt.position, pa = linkGeo.attributes.position;
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pa.array[0] = a.x; pa.array[1] = a.y; pa.array[2] = a.z;
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pa.array[3] = w.x; pa.array[4] = w.y; pa.array[5] = w.z;
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pa.needsUpdate = true;
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const d = Math.hypot(w.x - a.x, w.y - a.y, w.z - a.z);
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ballTcp.material.color.setHex(d < 1.2 ? 0x3ddc97 : 0xffb454);
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/* 目标箭头(指向工具轴)与当前工具轴线(绿,对照看姿态差) */
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gArrow.visible = poseOn && VIEW === 'motion';
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if (poseOn) {
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const R = Rdes();
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gArrow.quaternion.setFromUnitVectors(new THREE.Vector3(0, 0, 1), axisViewer());
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const xv = CAD2V([R[0], R[3], R[6]]); // 行主序:列 0 = 工具 x 轴;侧球沿它侧偏,始终离开箭头
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knob.position.set(xv[0] * KNOBOFF, xv[1] * KNOBOFF, xv[2] * KNOBOFF);
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}
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knob.visible = poseOn && VIEW === 'motion';
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const Rcur = S.orient(ORDER.map(id => ang[id]));
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const avc = CAD2V([Rcur[2], Rcur[5], Rcur[8]]); // 求解器列 2 = 法兰法向(朝臂内),取反为外伸方向
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const av = [-avc[0], -avc[1], -avc[2]];
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const ca = curGeo.attributes.position;
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ca.array[0] = w.x; ca.array[1] = w.y; ca.array[2] = w.z;
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ca.array[3] = w.x + av[0] * 60; ca.array[4] = w.y + av[1] * 60; ca.array[5] = w.z + av[2] * 60;
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ca.needsUpdate = true;
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curLine.visible = VIEW === 'motion';
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requestRender();
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}
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/* ---------- 3. 关节写入(同步滑块与标签)---------- */
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let anim = null;
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function setJoints(q, doAnim) {
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if (doAnim) { animTo(q, 620); return; }
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for (let i = 0; i < 6; i++) {
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const id = ORDER[i]; ang[id] = q[i];
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const s = $('s' + id), v = $('v' + id);
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if (s) s.value = q[i];
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if (v) v.textContent = (+q[i]).toFixed(2) + '\u00B0';
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applyJoint(id);
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}
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refreshTarget();
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}
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function animTo(q, ms) {
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if (anim) { anim = null; }
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const from = ORDER.map(id => ang[id]);
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anim = { from: from, to: q.slice(), t0: performance.now(), ms: ms };
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const tick = () => {
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if (!anim) return;
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const k = Math.min(1, (performance.now() - anim.t0) / anim.ms);
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const e = k * k * (3 - 2 * k);
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for (let i = 0; i < 6; i++) {
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const id = ORDER[i], a = anim.from[i] + (anim.to[i] - anim.from[i]) * e;
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ang[id] = a;
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const sl = $('s' + id), v = $('v' + id);
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if (sl) sl.value = a;
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if (v) v.textContent = a.toFixed(2) + '\u00B0';
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applyJoint(id);
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}
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refreshTarget();
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if (k < 1) requestAnimationFrame(tick);
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else { anim = null; for (let i = 0; i < 6; i++) applyJoint(ORDER[i]); requestRender(); }
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};
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requestAnimationFrame(tick);
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}
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/* ---------- 4. 结果渲染 ---------- */
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const badge = $('ikBadge');
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/* 场景图矩阵链复算姿态偏差(度):
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· 场景侧:直接取 J6 组世界旋转作用在工具 x/z 轴上的方向(transformDirection,
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免去列主序手工换算),正交化后组装成查看器系旋转 Rs;
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· 目标侧:CAD 系旋转 Rtar 经坐标旋转 Rv(CAD→查看器)共轭到查看器系
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R_viewer = Rv·R_cad·Rvᵀ(单边变换列向量不够——基变了整个旋转都要转)。 */
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const RV3 = [1, 0, 0, 0, 0, 1, 0, -1, 0]; // CAD→查看器 3×3(行主序)
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const RV3T = [1, 0, 0, 0, 0, -1, 0, 1, 0]; // 转置
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function sceneOrientErr(q, Rtar) {
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const save = ORDER.map(id => ang[id]);
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for (let i = 0; i < 6; i++) { ang[ORDER[i]] = q[i]; applyJoint(ORDER[i]); }
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scene.updateMatrixWorld(true);
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const M = JG.J6.matrixWorld;
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const zs = new THREE.Vector3(0, 0, 1).transformDirection(M);
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let xs = new THREE.Vector3(1, 0, 0).transformDirection(M);
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xs.sub(zs.clone().multiplyScalar(xs.dot(zs))).normalize(); // 正交化(防场景缩放引入的分量)
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const ys = new THREE.Vector3().crossVectors(zs, xs);
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const Rs = [xs.x, ys.x, zs.x, xs.y, ys.y, zs.y, xs.z, ys.z, zs.z]; // 列 = 工具 x/y/z(查看器系)
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const Rt = []; // 目标:共轭到查看器系
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for (let i = 0; i < 3; i++) for (let j = 0; j < 3; j++) {
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let s = 0;
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for (let k = 0; k < 3; k++) s += RV3[i * 3 + k] * Rtar[k * 3 + j];
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Rt.push(s);
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}
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const Rt2 = [];
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for (let i = 0; i < 3; i++) for (let j = 0; j < 3; j++) {
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let s = 0;
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for (let k = 0; k < 3; k++) s += Rt[i * 3 + k] * RV3T[k * 3 + j];
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Rt2.push(s);
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}
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for (let i = 0; i < 6; i++) { ang[ORDER[i]] = save[i]; applyJoint(ORDER[i]); }
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return ArmIK.rotErrDeg(Rs, Rt2);
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}
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function renderResult(res, src) {
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const q = res.q || [0, 0, 0, 0, 0, 0];
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const tb = $('ikTab').tBodies[0]; tb.innerHTML = '';
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for (let i = 0; i < 6; i++) {
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const id = ORDER[i], t = LIM[id];
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const tr = document.createElement('tr');
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tr.innerHTML = '<td>' + id + '</td><td>' + CN[id] + '</td>' +
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'<td class="num">' + q[i].toFixed(2) + '\u00B0</td>' +
|
||
'<td class="num dim">' + Math.abs(q[i]).toFixed(1) + '</td>' +
|
||
'<td class="dim">' + (t.cont ? '\u00B1180' : t.lo + '..' + t.hi) + '</td>';
|
||
if (i === 5 && !res.tool) tr.title = poseOn
|
||
? '姿态控制开启:θ6 为绕工具轴的滚转角,由目标姿态(方位/仰角/滚转)解算'
|
||
: 'TCP 位于 J6 轴线上,转动 J6 不改变 TCP 位置,故取 0 使总角最小';
|
||
tb.appendChild(tr);
|
||
}
|
||
lastTool = res.tool || 0;
|
||
const dcl = res.err != null ? res.err : 0;
|
||
const dori = res.oerr != null ? res.oerr : 0;
|
||
let doriSc = 0;
|
||
const sc = (function () { // 用场景图真实矩阵链复算
|
||
const save = ORDER.map(id => ang[id]);
|
||
for (let i = 0; i < 6; i++) { ang[ORDER[i]] = q[i]; applyJoint(ORDER[i]); }
|
||
scene.updateMatrixWorld(true);
|
||
const w = new THREE.Vector3(...VC(tcpCad())).applyMatrix4(JG.J6.matrixWorld);
|
||
if (poseOn) doriSc = sceneOrientErr(q, Rsolver());
|
||
for (let i = 0; i < 6; i++) { ang[ORDER[i]] = save[i]; applyJoint(ORDER[i]); }
|
||
return [w.x, -w.z, w.y];
|
||
})();
|
||
const dsc = Math.hypot(sc[0] - res.target[0], sc[1] - res.target[1], sc[2] - res.target[2]);
|
||
const sum = q.reduce((a, b) => a + b, 0);
|
||
const pa = poseOn ? ArmIK.poseAng(Uof(q)) : null;
|
||
$('ikSum').innerHTML =
|
||
'<i>总关节角 \u03A3|\u03B8|</i><b class="hi">' + S.costOf(q, null).toFixed(2) + '\u00B0</b>' +
|
||
'<i>\u03A3\u03B8 代数和</i><span>' + sum.toFixed(1) + '\u00B0</span>' +
|
||
'<i>残差 闭式/场景图</i><span class="' + (dcl < 1e-4 && dsc < .05 ? 'good' : 'bad') + '">' +
|
||
dcl.toExponential(1) + ' / ' + dsc.toExponential(1) + ' mm</span>' +
|
||
(poseOn ? '<i>目标姿态</i><span>方位 ' + POSE.az.toFixed(1) + '\u00B0 · 仰角 ' + POSE.el.toFixed(1) +
|
||
'\u00B0 · 滚转 ' + POSE.roll.toFixed(1) + '\u00B0</span>' : '') +
|
||
(poseOn ? '<i>实际姿态</i><span>' + pa.az.toFixed(1) + '\u00B0 · ' + pa.el.toFixed(1) +
|
||
'\u00B0 · ' + pa.roll.toFixed(1) + '\u00B0</span>' : '') +
|
||
(poseOn ? '<i>姿态残差 闭式/场景图</i><span class="' + (dori < .05 && doriSc < .1 ? 'good' : 'bad') + '">' +
|
||
dori.toFixed(3) + '\u00B0 / ' + doriSc.toFixed(3) + '\u00B0</span>' : '') +
|
||
'<i>可行采样点</i><span>' + res.nSol + '</span>' +
|
||
'<i>耗时</i><span>' + res.ms.toFixed(0) + ' ms</span>' +
|
||
'<i>目标</i><span>(' + res.target.map(v => v.toFixed(1)).join(', ') + ')</span>' +
|
||
(res.resid != null ? '<i>距目标</i><span class="bad">' + res.resid.toFixed(2) + ' mm</span>' : '') +
|
||
(poseOn && res.resid != null && res.oerr != null
|
||
? '<i>姿态偏差</i><span class="bad">' + res.oerr.toFixed(2) + '\u00B0</span>' : '');
|
||
const oriOk = !poseOn || (dori < 0.05 && doriSc < 0.1);
|
||
/* 以残差判到达:阻尼最小二乘兜底也可能精确到达(扫描漏掉的奇异刀尖解),不能只看 reachable */
|
||
const posOk = dsc < .05;
|
||
badge.textContent = (posOk && oriOk) ? '已到达'
|
||
: (posOk && poseOn && dori > 0.05 ? '位置到达·姿态残差 ' + dori.toFixed(2) + '\u00B0' : '不可达·最近位姿');
|
||
badge.className = 'badge ' + ((posOk && oriOk) ? 'goodb'
|
||
: (posOk ? 'warnb' : 'badb'));
|
||
$('ikSrc').textContent = src;
|
||
$('ikBar').innerHTML = '<b class="hi">\u03A3|\u03B8| ' + S.costOf(q, null).toFixed(2) + '\u00B0</b>' +
|
||
'<span class="sep">|</span>\u6B8B\u5DEE ' +
|
||
'<span class="' + (dsc < .05 ? 'good' : 'bad') + '">' + dsc.toExponential(1) + ' mm</span>' +
|
||
(poseOn ? '<span class="sep">|</span>\u59FF\u6001\u6B8B\u5DEE <span class="' +
|
||
(dori < .05 && doriSc < .1 ? 'good' : 'bad') + '">' + dori.toFixed(3) + '\u00B0</span>' : '') +
|
||
'<span class="sep">|</span>\u53EF\u884C\u91C7\u6837\u70B9 ' + res.nSol +
|
||
'<span class="sep">|</span>' + res.ms.toFixed(0) + ' ms';
|
||
/* 备选互异构型 */
|
||
const alt = [];
|
||
for (let i = 0; i < res.list.length && alt.length < 6; i++) {
|
||
const s = res.list[i];
|
||
let dup = false;
|
||
for (const a of alt) {
|
||
let dd = 0; for (let c = 0; c < 6; c++) dd += Math.abs(a.q[c] - s.q[c]);
|
||
if (dd < 12) { dup = true; break; }
|
||
}
|
||
if (!dup) alt.push(s);
|
||
}
|
||
$('ikAltN').textContent = '\u4E92\u5F02\u6784\u578B ' + alt.length + ' \u4E2A\uFF08\u89E3\u65CF\u5171 ' +
|
||
res.nSol + ' \u91C7\u6837\u70B9\uFF09\u00B7 \u70B9\u884C\u5E94\u7528';
|
||
const box = $('ikAlts'); box.innerHTML = '';
|
||
alt.forEach((s, i) => {
|
||
const d = document.createElement('div');
|
||
d.className = 'altrow';
|
||
d.innerHTML = '<span class="ai">' + (i + 1) + '</span><b>' + s.cost.toFixed(2) + '\u00B0</b>' +
|
||
'<span class="aq">' + s.q.map(v => v.toFixed(1)).join(' / ').replace(/ /g, '') + '</span>';
|
||
d.title = ORDER.map((id, k) => id + ' = ' + s.q[k].toFixed(2) + '\u00B0').join(' ');
|
||
d.onclick = () => setJoints(s.q, true);
|
||
box.appendChild(d);
|
||
});
|
||
}
|
||
|
||
/* ---------- 5. 求解 ---------- */
|
||
function runSolve() {
|
||
const X = +$('ikX').value, Y = +$('ikY').value, Z = +$('ikZ').value;
|
||
if (!isFinite(X) || !isFinite(Y) || !isFinite(Z)) {
|
||
badge.textContent = '坐标非法'; badge.className = 'badge badb'; return;
|
||
}
|
||
TGT = [X, Y, Z];
|
||
lastTool = +$('ikTool').value || 0;
|
||
refreshTarget();
|
||
badge.textContent = '计算中…'; badge.className = 'badge wait';
|
||
setTimeout(() => {
|
||
const opt = { tool: lastTool, step: +$('ikStep').value || 0.25, ref: curRef(), refW: REF_W };
|
||
if (poseOn) opt.pose = { R: Rsolver() };
|
||
const res = S.solveTo(TGT, opt);
|
||
renderResult(res, res.reachable
|
||
? (poseOn ? '闭式全域扫描 · 位置+姿态联合 · 冗余维精确覆盖' : '闭式全域扫描 · 冗余维精确覆盖')
|
||
: (poseOn ? '超可达位姿空间 → 阻尼最小二乘最近位姿(位置 mm + 姿态联合)'
|
||
: '超工作空间 → 阻尼最小二乘最近位姿'));
|
||
if (res.q) setJoints(res.q, true);
|
||
}, 0);
|
||
}
|
||
|
||
/* 实时追踪:拖动过程中同步求解、立即应用(无动画,跟在手后面)。
|
||
求解是同步的,同一时刻只跑一个;拖动中的后续 pointermove 只记待处理标志,
|
||
当前求解结束后用最新 TGT 再解一次,避免事件排队越拖越卡。 */
|
||
let liveBusy = false, livePending = false;
|
||
function runSolveLive() {
|
||
if (liveBusy) { livePending = true; return; }
|
||
liveBusy = true;
|
||
try {
|
||
lastTool = +$('ikTool').value || 0;
|
||
const opt = { tool: lastTool, step: +$('ikStep').value || 0.25, ref: curRef(), refW: REF_W };
|
||
if (poseOn) opt.pose = { R: Rsolver() };
|
||
const res = S.solveTo(TGT, opt);
|
||
renderResult(res, res.reachable
|
||
? (poseOn ? '实时追踪 · 闭式全域扫描 · 位置+姿态联合 · 冗余维精确覆盖'
|
||
: '实时追踪 · 闭式全域扫描 · 冗余维精确覆盖')
|
||
: (poseOn ? '实时追踪 · 超可达位姿空间(阻尼最小二乘最近位姿)'
|
||
: '实时追踪 · 超工作空间(阻尼最小二乘最近位姿)'));
|
||
if (res.q) setJoints(res.q, false);
|
||
} finally { liveBusy = false; }
|
||
if (livePending) { livePending = false; runSolveLive(); }
|
||
}
|
||
|
||
/* ---------- 6. 目标拖动 / 拾取 ---------- */
|
||
let grab = null, camSnap = null, dragged = false, justPicked = false;
|
||
const ray2 = new THREE.Raycaster();
|
||
const snapCam = () => ({ az: az, po: po, tx: tx, ty: ty, tz: tz, rd: rd });
|
||
const putCam = s => { az = s.az; po = s.po; tx = s.tx; ty = s.ty; tz = s.tz; rd = s.rd; };
|
||
let mode = 'drag';
|
||
function setMode(m) {
|
||
mode = m;
|
||
$('ikPick').classList.toggle('on', m === 'pick');
|
||
$('ikRt').classList.toggle('on', m === 'rt');
|
||
$('ikHint').textContent = (m === 'pick' ? '视图单击:目标投到当前高度的水平面'
|
||
: (m === 'rt' ? '实时追踪中:拖黄球/箭头即算即动,手臂跟着走(松手精修)'
|
||
: '拖黄球 = 移动目标(Shift 仅上下);拖箭头 = 调工具轴指向;拖箭杆或粉球 = 滚转;松手自动求解'))
|
||
+ (poseOn ? ' · 姿态控制中:箭头/粉球已激活,数字框可精确微调' : ' · 开「姿态控制」后出现可拖箭头');
|
||
}
|
||
function projTgt() {
|
||
const p = gTgt.position.clone().project(cam);
|
||
const r = cv.getBoundingClientRect();
|
||
return { x: (p.x * .5 + .5) * r.width, y: (-p.y * .5 + .5) * r.height };
|
||
}
|
||
/* 箭头头部 / 滚转圆环的世界坐标 → 屏幕(用于命中判定) */
|
||
function projArrow(localZ) {
|
||
const p = new THREE.Vector3(0, 0, localZ).applyMatrix4(gArrow.matrixWorld).project(cam);
|
||
const r = cv.getBoundingClientRect();
|
||
return { x: (p.x * .5 + .5) * r.width, y: (-p.y * .5 + .5) * r.height };
|
||
}
|
||
const ndc2 = e => {
|
||
const r = cv.getBoundingClientRect();
|
||
return new THREE.Vector2(((e.clientX - r.left) / r.width) * 2 - 1,
|
||
-((e.clientY - r.top) / r.height) * 2 + 1);
|
||
};
|
||
/* 指针在「目标处、垂直于工具轴的平面」上绕轴的转角(度):滚转把手拖动用 */
|
||
function rollAngleAt(e) {
|
||
const n = axisViewer();
|
||
const pl = new THREE.Plane().setFromNormalAndCoplanarPoint(n, gTgt.position);
|
||
const hit = new THREE.Vector3();
|
||
ray2.setFromCamera(ndc2(e), cam); // 该版本 setFromCamera 不返回 this,勿链式
|
||
if (!ray2.ray.intersectPlane(pl, hit)) return 0;
|
||
const v = hit.sub(gTgt.position);
|
||
const up = Math.abs(n.y) > 0.9 ? new THREE.Vector3(1, 0, 0) : new THREE.Vector3(0, 1, 0);
|
||
const u = new THREE.Vector3().crossVectors(n, up).normalize();
|
||
const w = new THREE.Vector3().crossVectors(n, u);
|
||
return Math.atan2(v.dot(w), v.dot(u)) * 180 / Math.PI;
|
||
}
|
||
/* 弧球式瞄准:指针射线与「以目标为球心、半径 = 箭长」的球求交,方向 = 交点 − 球心 */
|
||
function aimAxis(e) {
|
||
ray2.setFromCamera(ndc2(e), cam);
|
||
const o = ray2.ray.origin, d = ray2.ray.direction, C = gTgt.position;
|
||
const ox = o.x - C.x, oy = o.y - C.y, oz = o.z - C.z;
|
||
const b = ox * d.x + oy * d.y + oz * d.z;
|
||
const c = ox * ox + oy * oy + oz * oz - AXLEN * AXLEN;
|
||
const disc = b * b - c;
|
||
const t = Math.max(0, disc >= 0 ? -b - Math.sqrt(disc) : -b); // 未命中取射线上距球心最近点
|
||
const v = new THREE.Vector3(o.x + d.x * t - C.x, o.y + d.y * t - C.y, o.z + d.z * t - C.z);
|
||
if (v.lengthSq() < 1e-6) return;
|
||
v.normalize();
|
||
const vc = V2CAD([v.x, v.y, v.z]);
|
||
POSE.az = Math.atan2(vc[1], vc[0]) * 180 / Math.PI;
|
||
POSE.el = Math.acos(Math.max(-1, Math.min(1, vc[2]))) * 180 / Math.PI;
|
||
syncPoseInputs(); refreshTarget();
|
||
}
|
||
cv.addEventListener('pointerdown', e => {
|
||
if (e.button !== 0 || VIEW !== 'motion') return; // 仅运动模拟模式可操作目标点
|
||
justPicked = false;
|
||
if (mode === 'pick') { grab = { pick: true }; dragged = false; return; }
|
||
const pt = projTgt();
|
||
const db = Math.hypot(e.offsetX - pt.x, e.offsetY - pt.y);
|
||
if (poseOn) { // 箭头头 / 滚转把手(与黄球就近仲裁,见 pickPoseHandle)
|
||
const part = pickPoseHandle(e);
|
||
if (part === 'axis') { grab = { pose: 'axis' }; dragged = false; camSnap = snapCam(); return; }
|
||
if (part === 'roll') { grab = { pose: 'roll', a0: rollAngleAt(e) }; dragged = false; camSnap = snapCam(); return; }
|
||
}
|
||
if (!(db < 26 || e.shiftKey)) return;
|
||
grab = { sx: e.offsetX, sy: e.offsetY };
|
||
camSnap = snapCam(); dragged = false;
|
||
});
|
||
cv.addEventListener('pointermove', e => {
|
||
if (!grab || grab.pick) return;
|
||
if (camSnap) putCam(camSnap); // 撤销查看器自身的轨道 / 平移
|
||
cam.updateMatrixWorld(); // 轨道参数已还原,射线/列向量要用新矩阵
|
||
if (grab.pose === 'axis') { // 拖箭头头:工具轴指向
|
||
dragged = true;
|
||
aimAxis(e);
|
||
if (mode === 'rt') runSolveLive();
|
||
return;
|
||
}
|
||
if (grab.pose === 'roll') { // 拖圆环:绕轴滚转
|
||
dragged = true;
|
||
const a1 = rollAngleAt(e);
|
||
POSE.roll = S.wrap180(POSE.roll + S.wrap180(a1 - grab.a0));
|
||
grab.a0 = a1;
|
||
syncPoseInputs(); refreshTarget();
|
||
if (mode === 'rt') runSolveLive();
|
||
return;
|
||
}
|
||
const dx = e.offsetX - grab.sx, dy = e.offsetY - grab.sy;
|
||
if (Math.abs(dx) + Math.abs(dy) > 2) dragged = true;
|
||
const k = (2 * rd * Math.tan(cam.fov * Math.PI / 360)) / Math.max(1, cv.clientHeight);
|
||
const right = new THREE.Vector3().setFromMatrixColumn(cam.matrixWorld, 0);
|
||
const up = new THREE.Vector3().setFromMatrixColumn(cam.matrixWorld, 1);
|
||
const cur = VC(TGT), v = new THREE.Vector3(cur[0], cur[1], cur[2]);
|
||
if (e.shiftKey || e.altKey) { // 约束到世界竖直(CAD +Z)
|
||
const dot = Math.max(0.25, Math.abs(up.dot(new THREE.Vector3(0, 1, 0))));
|
||
v.addScaledVector(new THREE.Vector3(0, 1, 0), -dy * k / dot);
|
||
} else v.addScaledVector(right, dx * k).addScaledVector(up, -dy * k);
|
||
TGT = [v.x, -v.z, Math.max(0, v.y)];
|
||
grab.sx = e.offsetX; grab.sy = e.offsetY;
|
||
syncInputs(); refreshTarget();
|
||
if (mode === 'rt' && dragged) runSolveLive(); // 实时追踪:拖动过程中即算即动
|
||
});
|
||
addEventListener('pointerup', () => { camSnap = null; });
|
||
cv.addEventListener('pointerup', e => {
|
||
if (!grab) return;
|
||
if (grab.pick) { // 视图拾取:射线打到当前高度的水平面
|
||
grab = null; justPicked = true;
|
||
const r = cv.getBoundingClientRect();
|
||
ray2.setFromCamera(new THREE.Vector2(((e.clientX - r.left) / r.width) * 2 - 1,
|
||
-((e.clientY - r.top) / r.height) * 2 + 1), cam);
|
||
const plane = new THREE.Plane(new THREE.Vector3(0, 1, 0), -TGT[2]); // 查看器 y = CAD z
|
||
const hit = new THREE.Vector3();
|
||
if (ray2.ray.intersectPlane(plane, hit)) {
|
||
TGT = [hit.x, -hit.z, Math.max(0, TGT[2])];
|
||
syncInputs(); refreshTarget(); runSolve();
|
||
}
|
||
return;
|
||
}
|
||
const moved = dragged; grab = null;
|
||
if (moved) runSolve();
|
||
});
|
||
cv.addEventListener('click', () => { // 撤销交互对查看器选中态 / 高亮的副作用
|
||
if (justPicked) justPicked = false;
|
||
else if (!dragged) return;
|
||
dragged = false;
|
||
if (sel) { sel.material.emissive.setHex(0); sel.material.emissiveIntensity = 0; sel = null; }
|
||
const hud = $('hud'); if (hud) hud.textContent = '';
|
||
requestRender();
|
||
}, true);
|
||
|
||
/* ---------- 7. 控件 ---------- */
|
||
function syncInputs() {
|
||
$('ikX').value = TGT[0].toFixed(1);
|
||
$('ikY').value = TGT[1].toFixed(1);
|
||
$('ikZ').value = TGT[2].toFixed(1);
|
||
}
|
||
['ikX', 'ikY', 'ikZ', 'ikTool'].forEach(id => {
|
||
const el = $(id); if (!el) return;
|
||
el.addEventListener('change', () => runSolve());
|
||
});
|
||
$('ikStep').onchange = () => runSolve();
|
||
$('ikSolve').onclick = () => runSolve();
|
||
$('ikPick').onclick = () => setMode(mode === 'pick' ? 'drag' : 'pick');
|
||
$('ikRt').onclick = () => setMode(mode === 'rt' ? 'drag' : 'rt');
|
||
$('ikHome').onclick = () => {
|
||
setJoints([0, 0, 0, 0, 0, 0], true);
|
||
badge.textContent = '已复位'; badge.className = 'badge wait';
|
||
$('ikSrc').textContent = '已复零位(下表为上一次求解结果,滑块与模型为当前真实姿态)';
|
||
};
|
||
$('ikZero').onclick = () => { TGT = [150, 128, 260]; syncInputs(); refreshTarget(); runSolve(); };
|
||
|
||
/* --- 姿态控制:开关 / 参数 / 快捷 --- */
|
||
const poseEls = ['ikAz', 'ikEl', 'ikRoll'].map($);
|
||
if ($('ikPose')) $('ikPose').onclick = () => {
|
||
poseOn = !poseOn;
|
||
$('ikPose').classList.toggle('on', poseOn);
|
||
$('ikPoseBox').style.display = poseOn ? 'flex' : 'none';
|
||
if (poseOn) fillPoseFromCurrent(); // 开启即用当前工具姿态,避免求解跳变
|
||
refreshTarget();
|
||
setMode(mode);
|
||
runSolve();
|
||
};
|
||
poseEls.forEach((el, i) => {
|
||
if (!el) return;
|
||
el.addEventListener('change', () => {
|
||
POSE.az = +$('ikAz').value || 0;
|
||
POSE.el = Math.max(0, Math.min(180, +$('ikEl').value || 0));
|
||
POSE.roll = +$('ikRoll').value || 0;
|
||
syncPoseInputs();
|
||
if (poseOn) runSolve();
|
||
});
|
||
});
|
||
if ($('ikPoseCur')) $('ikPoseCur').onclick = () => { fillPoseFromCurrent(); if (poseOn) runSolve(); };
|
||
if ($('ikPoseDown')) $('ikPoseDown').onclick = () => {
|
||
POSE.az = 0; POSE.el = 180; POSE.roll = 0; syncPoseInputs(); if (poseOn) runSolve();
|
||
};
|
||
|
||
/* ---------- 8. 视图模式:三维模型(静态) / 装配图 / 运动模拟 ---------- */
|
||
let VIEW = 'model';
|
||
const MOTION_UI = ['ikbar', 'ikpanel', 'joints', 'jointsHead', 'footIk'];
|
||
function setView(v, keepPose) {
|
||
VIEW = v;
|
||
const isMotion = v === 'motion';
|
||
document.body.classList.toggle('motion', isMotion);
|
||
for (const id of MOTION_UI) {
|
||
const e = $(id);
|
||
if (e) e.style.display = isMotion ? '' : 'none';
|
||
}
|
||
gTgt.visible = isMotion; RING.visible = isMotion;
|
||
ballTcp.visible = isMotion; linkLine.visible = isMotion;
|
||
curLine.visible = isMotion;
|
||
if (isMotion) {
|
||
if (+exp.value) document.getElementById('bAsm').click(); // 运动模拟须在装配状态下进行
|
||
runSolve(); // 进入即求解并动画到目标点
|
||
} else {
|
||
if (mode !== 'drag') setMode('drag'); // 离开运动模拟:交互模式复位
|
||
if (v === 'model' && !keepPose) setJoints([0, 0, 0, 0, 0, 0], true); // 静态模型:关节锁定零位
|
||
}
|
||
requestRender();
|
||
}
|
||
document.querySelectorAll('.tab[data-view]').forEach(b =>
|
||
b.addEventListener('click', () => setView(b.dataset.view)));
|
||
|
||
/* ---------- 9. 启动:自检 + 工作空间采样 ---------- */
|
||
function boot() {
|
||
const st = S.selfTest(600, 6);
|
||
const ws = (function () {
|
||
let lo = [1e9, 1e9, 1e9], hi = [-1e9, -1e9, -1e9], rmax = 0;
|
||
for (let k = 0; k < 120000; k++) {
|
||
const q = [];
|
||
for (let i = 0; i < 5; i++) { const t = LIM[ORDER[i]]; q.push(t.lo + Math.random() * (t.hi - t.lo)); }
|
||
q.push(0);
|
||
const p = S.fk(q, 0);
|
||
for (let i = 0; i < 3; i++) { lo[i] = Math.min(lo[i], p[i]); hi[i] = Math.max(hi[i], p[i]); }
|
||
rmax = Math.max(rmax, Math.hypot(p[1] - S.K.Y0, p[2] - S.K.Z1));
|
||
}
|
||
return { lo: lo, hi: hi, rmax: rmax };
|
||
})();
|
||
$('ikChk').innerHTML =
|
||
'<i>结构前提</i><span class="' + (st.structWarn.length ? 'bad' : 'good') + '">' +
|
||
(st.structWarn.length ? st.structWarn.join(';') : '自洽 ✓') + '</span>' +
|
||
'<i>FK 校验</i><span class="good">' + st.maxFkErr.toExponential(1) + ' mm</span>' +
|
||
'<i>IK 校验</i><span class="good">' + st.ikHit + '/' + st.ikTried + ' · ' + st.maxIkErr.toExponential(1) + ' mm</span>' +
|
||
'<i>TCP 法兰面</i><span>(' + TCP0.map(v => v.toFixed(1)).join(', ') + ')</span>' +
|
||
'<i>*运动学可达</i><span>限位内 12 万随机位形,未计自碰撞</span>' +
|
||
'<i>可达 x*</i><span>' + ws.lo[0].toFixed(0) + '…' + ws.hi[0].toFixed(0) +
|
||
' mm(前伸 ' + ws.hi[0].toFixed(0) + ')</span>' +
|
||
'<i>可达 y*</i><span>' + ws.lo[1].toFixed(0) + '…' + ws.hi[1].toFixed(0) + ' mm</span>' +
|
||
'<i>可达 z*</i><span>' + ws.lo[2].toFixed(0) + '…' + ws.hi[2].toFixed(0) + ' mm</span>' +
|
||
'<i>离 J1 轴*</i><span class="good">最远 ' + ws.rmax.toFixed(0) + ' mm</span>' +
|
||
'<i>姿态 IK 校验</i><span class="' + (st.poseHit >= st.poseTried * 0.9 ? 'good' : 'bad') + '">' +
|
||
st.poseHit + '/' + st.poseTried + ' 命中 · 最大 ' + st.poseErr.toExponential(1) +
|
||
'° · ' + st.poseMs.toFixed(0) + ' ms/次</span>' +
|
||
'<i>姿态结构</i><span>J5∩J6 垂直相交于腕心;θ6 为绕工具轴滚转,不影响 TCP 位置</span>';
|
||
/* 打包自检:确认所有依赖都在本文件内(便于单文件分发,防止被拆开后才出问题) */
|
||
const ext = document.querySelectorAll(
|
||
'script[src],link[href],img[src],iframe[src],source[src],embed[src],object[data],use[href]').length;
|
||
const nSheet = (typeof SHEETS !== 'undefined' && SHEETS) ? String(SHEETS).split('<svg').length - 1 : 0;
|
||
const ok = (t) => '<span class="' + (t ? 'good' : 'bad') + '">';
|
||
const nScript = document.querySelectorAll('script:not([src])').length;
|
||
$('ikDep').innerHTML =
|
||
'<i>打包方式</i><span class="good">单文件自包含,可直接拷走</span>' +
|
||
'<i>three.js</i>' + ok(typeof THREE !== 'undefined') + '已内联 · r' +
|
||
((typeof THREE !== 'undefined' && THREE.REVISION) || '?') + '</span>' +
|
||
'<i>几何数据</i>' + ok(typeof DATA !== 'undefined') + '已内联 · ' + DATA.parts.length + ' 件零件</span>' +
|
||
'<i>关节 / 限位</i>' + ok(typeof JO !== 'undefined' && typeof TRAVEL !== 'undefined') +
|
||
'已内联 · ' + JO.length + ' 轴 / ' + TRAVEL.length + ' 条限位</span>' +
|
||
'<i>二维图纸</i>' + ok(nSheet > 0) + '已内联 · ' + nSheet + ' 张 SVG</span>' +
|
||
'<i>IK 求解器</i>' + ok(typeof ArmIK !== 'undefined') + '已内联(纯 JS,无依赖)</span>' +
|
||
'<i>内联脚本</i><span>' + nScript + ' 个(三维引擎 / 模型数据 / 求解器 / 界面)</span>' +
|
||
'<i>外部引用</i>' + ok(ext === 0) +
|
||
(ext === 0 ? '0 个(script/link/img/iframe 等全类型已查)' : ext + ' 个 —— 已破坏自包含!') + '</span>';
|
||
|
||
syncInputs(); refreshTarget();
|
||
const q = new URLSearchParams(location.search);
|
||
const hasJ = ['j1', 'j2', 'j3', 'j4', 'j5', 'j6'].some(k => q.has(k));
|
||
const v0 = q.get('view');
|
||
if ((v0 === 'motion' || v0 === 'sheet') && document.querySelector('.tab[data-view="' + v0 + '"]')) {
|
||
document.querySelector('.tab[data-view="' + v0 + '"]').click();
|
||
} else setView('model', hasJ);
|
||
}
|
||
boot();
|
||
|
||
window.IK = { solver: S, setTarget: p => { TGT = p.slice(); syncInputs(); refreshTarget(); },
|
||
getTarget: () => TGT.slice(), run: runSolve, TCP0: TCP0, LIM: LIM,
|
||
setView: setView, getView: () => VIEW,
|
||
setPose: (az, el, roll, solve) => {
|
||
POSE.az = +az || 0; POSE.el = Math.max(0, Math.min(180, +el || 0)); POSE.roll = +roll || 0;
|
||
syncPoseInputs(); refreshTarget(); if (solve !== false) runSolve();
|
||
},
|
||
getPose: () => ({ on: poseOn, az: POSE.az, el: POSE.el, roll: POSE.roll }),
|
||
/* 可拖控点的屏幕坐标(画布内像素):黄球 / 箭头头 / 滚转侧球 */
|
||
pickPts: () => poseOn ? { ball: projTgt(), head: projArrow(HEADZ), knob: knobScreen() } : null,
|
||
/* 调试:某视口坐标下的把手拾取结果('axis'/'roll'/null) */
|
||
_pickHandle: (cx, cy) => poseOn ? pickPoseHandle({ clientX: cx, clientY: cy,
|
||
offsetX: cx - cv.getBoundingClientRect().left, offsetY: cy - cv.getBoundingClientRect().top }) : null };
|
||
})(); |