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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 | /** * Serialize construction state and proof facts into text for voice context. */ import type { ConstructionState, ConstructionPoint, ConstructionCircle, ConstructionSegment, ActiveTool, CompassPhase, StraightedgePhase, ExtendPhase, MacroPhase, PropositionStep, } from '../types' import type { ProofFact } from '../engine/facts' import { isAngleFact } from '../engine/facts' import { getPoint, getRadius, getAllPoints, getAllCircles, getAllSegments, } from '../engine/constructionState' import { circleCircleIntersections, circleSegmentIntersections, segmentSegmentIntersection, } from '../engine/intersections' /** * Convert proof facts to a numbered list suitable for voice/text injection. * * Example output: * 1. CA = AB — Def.15: C on circle centered A through B * 2. CB = AB — Def.15: C on circle centered B through A */ export function serializeProofFacts(facts: ProofFact[]): string { if (facts.length === 0) return 'No facts proven yet.' return facts .map((fact, i) => { const num = i + 1 return `${num}. ${fact.statement} — ${fact.justification}` }) .join('\n') } /** * Convert construction state to a concise summary. * * Example output: * Points: A (given), B (given), C (intersection) * Segments: AB * Circles: 2 (centered at A, B) */ export function serializeConstructionState(state: ConstructionState): string { const points: string[] = [] const segments: string[] = [] const circles: string[] = [] for (const el of state.elements) { switch (el.kind) { case 'point': points.push(`${el.label} (${el.origin})`) break case 'segment': segments.push(`${el.fromId.replace('pt-', '')}${el.toId.replace('pt-', '')}`) break case 'circle': { const center = el.centerId.replace('pt-', '') circles.push(`centered at ${center}`) break } } } const lines: string[] = [] if (points.length > 0) lines.push(`Points: ${points.join(', ')}`) if (segments.length > 0) lines.push(`Segments: ${segments.join(', ')}`) if (circles.length > 0) lines.push(`Circles: ${circles.length} (${circles.join('; ')})`) return lines.length > 0 ? lines.join('\n') : 'Empty construction.' } /** * Build a complete proof state summary combining construction + facts. */ export function serializeFullProofState(state: ConstructionState, facts: ProofFact[]): string { const construction = serializeConstructionState(state) const provenFacts = serializeProofFacts(facts) return `=== Current Construction ===\n${construction}\n\n=== Proven Facts ===\n${provenFacts}` } // ── Rich construction graph serializer ──────────────────────────── /** Looser tolerance for intersection inference (vs 0.001 for exact computation) */ const MATCH_TOLERANCE = 0.01 /** Human-readable element description for intersection inference */ function describeElement(state: ConstructionState, id: string): string { const circles = getAllCircles(state) const segments = getAllSegments(state) const circle = circles.find((c) => c.id === id) if (circle) { const center = getPoint(state, circle.centerId) const rp = getPoint(state, circle.radiusPointId) const cLabel = center?.label ?? circle.centerId const rpLabel = rp?.label ?? circle.radiusPointId return `circle(${cLabel}, r=${cLabel}${rpLabel})` } const segment = segments.find((s) => s.id === id) if (segment) { const from = getPoint(state, segment.fromId) const to = getPoint(state, segment.toId) return `seg ${from?.label ?? segment.fromId}—${to?.label ?? segment.toId}` } return id } /** * For a point with origin 'intersection', infer which elements produced it * by testing its coordinates against all circle-circle, circle-segment, * and segment-segment intersection pairs. */ function inferIntersectionParents(state: ConstructionState, pt: ConstructionPoint): string | null { const circles = getAllCircles(state) const segments = getAllSegments(state) const matches: string[] = [] // Circle-circle for (let i = 0; i < circles.length; i++) { for (let j = i + 1; j < circles.length; j++) { const c1 = circles[i] const c2 = circles[j] const ctr1 = getPoint(state, c1.centerId) const ctr2 = getPoint(state, c2.centerId) const r1 = getRadius(state, c1.id) const r2 = getRadius(state, c2.id) if (!ctr1 || !ctr2 || r1 <= 0 || r2 <= 0) continue const pts = circleCircleIntersections(ctr1.x, ctr1.y, r1, ctr2.x, ctr2.y, r2) if ( pts.some( (p) => Math.abs(p.x - pt.x) < MATCH_TOLERANCE && Math.abs(p.y - pt.y) < MATCH_TOLERANCE ) ) { matches.push(`${describeElement(state, c1.id)} ∩ ${describeElement(state, c2.id)}`) } } } // Circle-segment for (const c of circles) { const ctr = getPoint(state, c.centerId) const r = getRadius(state, c.id) if (!ctr || r <= 0) continue for (const s of segments) { const from = getPoint(state, s.fromId) const to = getPoint(state, s.toId) if (!from || !to) continue const pts = circleSegmentIntersections(ctr.x, ctr.y, r, from.x, from.y, to.x, to.y) if ( pts.some( (p) => Math.abs(p.x - pt.x) < MATCH_TOLERANCE && Math.abs(p.y - pt.y) < MATCH_TOLERANCE ) ) { matches.push(`${describeElement(state, c.id)} ∩ ${describeElement(state, s.id)}`) } } } // Segment-segment for (let i = 0; i < segments.length; i++) { for (let j = i + 1; j < segments.length; j++) { const s1 = segments[i] const s2 = segments[j] const f1 = getPoint(state, s1.fromId) const t1 = getPoint(state, s1.toId) const f2 = getPoint(state, s2.fromId) const t2 = getPoint(state, s2.toId) if (!f1 || !t1 || !f2 || !t2) continue const pts = segmentSegmentIntersection(f1.x, f1.y, t1.x, t1.y, f2.x, f2.y, t2.x, t2.y) if ( pts.some( (p) => Math.abs(p.x - pt.x) < MATCH_TOLERANCE && Math.abs(p.y - pt.y) < MATCH_TOLERANCE ) ) { matches.push(`${describeElement(state, s1.id)} ∩ ${describeElement(state, s2.id)}`) } } } return matches.length > 0 ? matches.join(' OR ') : null } /** * Produce a rich text representation of the construction graph. * * Unlike `serializeConstructionState()` (used for initial mode instructions), * this includes full coordinates, colors, and intersection provenance — * designed for live mid-call context updates. */ export function serializeConstructionGraph(state: ConstructionState): string { const points = getAllPoints(state) const segments = getAllSegments(state) const circles = getAllCircles(state) const lines: string[] = ['=== CONSTRUCTION GRAPH ==='] // Points lines.push(`POINTS (${points.length}):`) for (const pt of points) { let line = ` ${pt.label} (${pt.origin}) at (${pt.x.toFixed(2)}, ${pt.y.toFixed(2)}) [color: ${pt.color}]` if (pt.origin === 'intersection') { const parents = inferIntersectionParents(state, pt) if (parents) { line += `\n → intersection of: ${parents}` } } lines.push(line) } // Segments lines.push(`\nSEGMENTS (${segments.length}):`) for (const seg of segments) { const from = getPoint(state, seg.fromId) const to = getPoint(state, seg.toId) const fromLabel = from?.label ?? seg.fromId const toLabel = to?.label ?? seg.toId lines.push(` ${seg.id}: ${fromLabel}—${toLabel} [${seg.origin}, color: ${seg.color}]`) } // Circles lines.push(`\nCIRCLES (${circles.length}):`) for (const circ of circles) { const center = getPoint(state, circ.centerId) const rp = getPoint(state, circ.radiusPointId) const r = getRadius(state, circ.id) const centerLabel = center?.label ?? circ.centerId const rpLabel = rp?.label ?? circ.radiusPointId lines.push( ` ${circ.id}: center=${centerLabel}, radius-point=${rpLabel}, r=${r.toFixed(2)} [color: ${circ.color}]` ) } return lines.join('\n') } // ── Tool state serializer ───────────────────────────────────────── /** Resolve a point ID like "pt-A" to label "A" using construction state */ function pointLabel(state: ConstructionState, id: string): string { const pt = getPoint(state, id) return pt?.label ?? id.replace('pt-', '') } export interface ToolStateInfo { activeTool: ActiveTool compassPhase: CompassPhase straightedgePhase: StraightedgePhase extendPhase: ExtendPhase macroPhase: MacroPhase /** Point being dragged in move tool (null if not dragging) */ dragPointId: string | null } /** * Serialize the current tool state into human-readable text for the voice agent. * * Covers every interaction phase so Euclid knows exactly what the student * is doing at any moment — which tool is selected, what sub-step of the * gesture they're in, and which construction elements are involved. */ export function serializeToolState( info: ToolStateInfo, state: ConstructionState, currentStep: number, steps: PropositionStep[], isComplete: boolean ): string { const lines: string[] = ['=== TOOL STATE ==='] // Current step context if (!isComplete && currentStep < steps.length) { const step = steps[currentStep] lines.push(`Current step (${currentStep + 1}/${steps.length}): "${step.instruction}"`) if (step.citation) lines.push(` Citation: ${step.citation}`) } else if (isComplete) { lines.push('Construction is COMPLETE — student is in exploration mode.') } lines.push(`Active tool: ${info.activeTool}`) switch (info.activeTool) { case 'compass': { const cp = info.compassPhase switch (cp.tag) { case 'idle': lines.push(' Compass: idle — no center selected yet') break case 'center-set': lines.push( ` Compass: center selected at ${pointLabel(state, cp.centerId)} — reaching for the radius-defining point` ) break case 'radius-set': lines.push( ` Compass: center=${pointLabel(state, cp.centerId)}, radius-point=${pointLabel(state, cp.radiusPointId)}, r=${cp.radius.toFixed(2)} — ready to sweep` ) break case 'sweeping': lines.push( ` Compass: SWEEPING circle center=${pointLabel(state, cp.centerId)}, radius-point=${pointLabel(state, cp.radiusPointId)}, r=${cp.radius.toFixed(2)}, swept=${((Math.abs(cp.cumulativeSweep) * 180) / Math.PI).toFixed(0)}°` ) break } break } case 'straightedge': { const sp = info.straightedgePhase const ep = info.extendPhase // Check if extend sub-mode is active during straightedge if (ep.tag === 'extending') { lines.push( ` Straightedge (extending): producing segment from ${pointLabel(state, ep.baseId)} through ${pointLabel(state, ep.throughId)}` ) } else { switch (sp.tag) { case 'idle': lines.push(' Straightedge: idle — no endpoint selected yet') break case 'from-set': lines.push( ` Straightedge: first endpoint=${pointLabel(state, sp.fromId)} — reaching for the second endpoint` ) break } } break } case 'macro': { const mp = info.macroPhase switch (mp.tag) { case 'idle': lines.push(' Proposition tool: idle') break case 'choosing': lines.push( ' Proposition tool: picker is open — student is choosing which prior proposition to apply' ) break case 'selecting': { const needed = mp.inputs.length const selected = mp.selectedPointIds.length const selectedDescriptions = mp.selectedPointIds .map((id, i) => { const input = mp.inputs[i] const label = pointLabel(state, id) return input ? `${input.label} (${label})` : label }) .join(', ') const remainingDescriptions = mp.inputs .slice(selected) .map((inp) => inp.label) .join(', ') lines.push(` Proposition tool: applying Prop I.${mp.propId}`) lines.push(` Input points needed: ${mp.inputs.map((inp) => inp.label).join(', ')}`) lines.push( ` Selected so far (${selected}/${needed}): ${selectedDescriptions || '(none)'}` ) if (selected < needed) { lines.push(` Waiting for: ${remainingDescriptions}`) } break } } break } case 'move': { if (info.dragPointId) { const label = pointLabel(state, info.dragPointId) // Describe the point's significance const pt = getPoint(state, info.dragPointId) const origin = pt?.origin ?? 'unknown' lines.push(` Move: DRAGGING point ${label} (${origin})`) // Look for this point in step descriptions for significance const mentioningSteps = steps.filter((s) => s.instruction.includes(label)) if (mentioningSteps.length > 0) { lines.push( ` Significance: appears in steps — ${mentioningSteps.map((s) => `"${s.instruction}"`).join(', ')}` ) } } else { lines.push(' Move: idle — student can drag given points to explore') } break } case 'point': lines.push(' Point tool: student is placing a free point') break } return lines.join('\n') } /** * Create a compact fingerprint of the current tool state for change detection. */ export function toolStateFingerprint(info: ToolStateInfo): string { const parts: string[] = [info.activeTool] switch (info.activeTool) { case 'compass': { const cp = info.compassPhase parts.push(cp.tag) if (cp.tag === 'center-set') parts.push(cp.centerId) if (cp.tag === 'radius-set') parts.push(cp.centerId, cp.radiusPointId) if (cp.tag === 'sweeping') parts.push(cp.centerId, cp.radiusPointId, String(Math.round(cp.cumulativeSweep * 10))) break } case 'straightedge': { const sp = info.straightedgePhase const ep = info.extendPhase if (ep.tag === 'extending') { parts.push('extending', ep.baseId, ep.throughId) } else { parts.push(sp.tag) if (sp.tag === 'from-set') parts.push(sp.fromId) } break } case 'macro': { const mp = info.macroPhase parts.push(mp.tag) if (mp.tag === 'selecting') parts.push(String(mp.propId), ...mp.selectedPointIds) break } case 'move': parts.push(info.dragPointId ?? 'idle') break } return parts.join(':') } |