Spaces:
Sleeping
Sleeping
File size: 7,341 Bytes
1993d5c | 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 | """Benchmark Evaluation for MathSolver AI DSL v6.0.
Evaluates the AI Core Pipeline on representative problems from official national exams (2016-2026)
covering Oxyz, Polyhedra, Round Bodies, Deterministic Constructions, and Micro-Predicates.
"""
from __future__ import annotations
import os
import sys
import json
import time
import numpy as np
from typing import Dict, Any, List
sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), '..')))
from solver.dsl_parser import DSLParser
from solver.engine import GeometryEngine
from solver.validator import GeometryValidator, GeometryStatus
BENCHMARK_CASES = [
{
"id": "BM_01_OXYZ_PROJECTION",
"name": "Oxyz - Hình chiếu & Đoạn vuông góc (geo_2016_essay_qessay_V)",
"topic": "oxyz",
"difficulty": "easy",
"description": "Trong không gian Oxyz, A(3,2,-2), B(1,0,1), C(2,-1,3). Dựng hình chiếu H của A lên BC.",
"dsl": """
POINT(A, 3, 2, -2)
POINT(B, 1, 0, 1)
POINT(C, 2, -1, 3)
PROJECT_POINT_LINE(H, A, BC)
SEGMENT(A, H)
""".strip(),
},
{
"id": "BM_02_POLYHEDRON_SQUARE_PYRAMID",
"name": "Khối chóp tứ giác đều (geo_2017_123_q16)",
"topic": "solid_geometry",
"difficulty": "easy",
"description": "Chóp tứ giác đều S.ABCD đáy vuông cạnh a=4, cạnh bên SA=8, tâm đáy O.",
"dsl": """
PYRAMID(S_ABCD)
SQUARE(ABCD)
LENGTH(AB, 4)
LENGTH(SA, 8)
CENTER(O, ABCD)
PROJECT_POINT_PLANE(O, S, ABCD)
""".strip(),
},
{
"id": "BM_03_PRISM_ANGLE_LINE_PLANE",
"name": "Lăng trụ đứng & Góc đường-mặt (geo_2016_essay_qessay_VII)",
"topic": "solid_geometry",
"difficulty": "medium",
"description": "Lăng trụ ABC.A'B'C' đáy vuông cân tại B, AC=4. Hình chiếu A' lên (ABC) là trung điểm H của AC. Góc(A'B, (ABC)) = 45°.",
"dsl": """
PRISM(ABC_A1B1C1)
RIGHT_TRIANGLE(ABC, B)
LENGTH(AC, 4)
EQUAL_LENGTH(BA, BC)
MIDPOINT(H, AC)
PROJECT_POINT_PLANE(H, A1, ABC)
ANGLE_LINE_PLANE(A1B, ABC, 45)
""".strip(),
},
{
"id": "BM_04_CYLINDER_ROUND_BODY",
"name": "Khối trụ tròn xoay (geo_2017_123_q18)",
"topic": "round_bodies",
"difficulty": "easy",
"description": "Khối trụ bán kính r=4, chiều cao h=4*sqrt(2) ≈ 5.657.",
"dsl": """
POINT(O1, 0, 0, 0)
POINT(O2, 0, 0, 5.657)
CYLINDER(O1_O2, 4)
""".strip(),
},
{
"id": "BM_05_DETERMINISTIC_INCENTER_BISECTOR",
"name": "Dựng hình tất định Tâm nội tiếp & Phân giác (GeoBuildBench-inspired)",
"topic": "plane_geometry",
"difficulty": "medium",
"description": "Tam giác vuông 3-4-5, dựng tâm nội tiếp I và chân phân giác góc A trên BC.",
"dsl": """
POINT(A, 0, 0, 0)
POINT(B, 4, 0, 0)
POINT(C, 0, 3, 0)
I = INCENTER(A, B, C)
D = ANGLE_BISECTOR(A, B, C)
SEGMENT(A, D)
SEGMENT(B, I)
""".strip(),
},
{
"id": "BM_06_MAGICGEO_TOPO_RATIO",
"name": "Ràng buộc Topo & Tỉ số đoạn thẳng (MagicGeo-inspired)",
"topic": "plane_geometry",
"difficulty": "easy",
"description": "Tam giác ABC, điểm M nằm trong đoạn AB với tỉ số AM / MB = 2.0.",
"dsl": """
POINT(A, 0, 0, 0)
POINT(B, 6, 0, 0)
POINT(C, 2, 4, 0)
INSIDE_SEGMENT(M, A, B)
RATIO_SEGMENT(A, M, B, 2.0)
SEGMENT(C, M)
""".strip(),
},
{
"id": "BM_07_OXYZ_PLANE_SPHERE_TANGENT",
"name": "Oxyz Mặt phẳng tiếp xúc mặt cầu",
"topic": "oxyz",
"difficulty": "medium",
"description": "Mặt phẳng P: 2x - 2y + z - 6 = 0 tiếp xúc mặt cầu tâm I(1,2,-1) bán kính R=3.",
"dsl": """
POINT(I, 1, 2, -1)
PLANE_EQ(P, 2, -2, 1, -6)
SPHERE_EQ(S, I, 3)
TANGENT_PLANE_SPHERE(P, S)
""".strip(),
},
]
def run_benchmark():
parser = DSLParser()
engine = GeometryEngine()
validator = GeometryValidator(tolerance=0.04)
results = []
print("=" * 80)
print(" MATHTSOLVER AI CORE BENCHMARK EVALUATION (DSL v6.0)")
print("=" * 80)
total_time = 0.0
passed_count = 0
for i, case in enumerate(BENCHMARK_CASES, start=1):
cid = case["id"]
cname = case["name"]
dsl = case["dsl"]
topic = case["topic"]
print(f"\n[{i}/{len(BENCHMARK_CASES)}] {cname} (Topic: {topic})")
print(f" DSL input:\n" + "\n".join(f" {line}" for line in dsl.splitlines()))
t0 = time.perf_counter()
# Step 1: Parse
points, constraints, is_3d = parser.parse(dsl)
# Step 2: Solve
engine_res = engine.solve(points, constraints, is_3d)
# Step 3: Validate
if engine_res and "coordinates" in engine_res:
coords = engine_res["coordinates"]
val_res = validator.validate(engine_res, constraints, is_3d)
elapsed_ms = (time.perf_counter() - t0) * 1000.0
total_time += elapsed_ms
status_str = "PASSED" if val_res.is_valid else "VALIDATION_WARNING"
if val_res.is_valid:
passed_count += 1
print(f" -> Result: {status_str} in {elapsed_ms:.1f}ms")
print(f" Resolved Points ({len(coords)}): {list(coords.keys())}")
for pid, pt in list(coords.items())[:4]:
print(f" {pid}: [{pt[0]:.3f}, {pt[1]:.3f}, {pt[2]:.3f}]")
if val_res.errors:
print(f" Validation Errors: {val_res.errors[:2]}")
results.append({
"id": cid,
"name": cname,
"topic": topic,
"status": status_str,
"time_ms": elapsed_ms,
"points_count": len(coords),
"is_valid": val_res.is_valid,
"coordinates": coords,
})
else:
elapsed_ms = (time.perf_counter() - t0) * 1000.0
print(f" -> Result: SOLVER_FAILED in {elapsed_ms:.1f}ms")
results.append({
"id": cid,
"name": cname,
"topic": topic,
"status": "FAILED",
"time_ms": elapsed_ms,
"points_count": 0,
"is_valid": False,
"coordinates": {},
})
print("\n" + "=" * 80)
print(f" BENCHMARK SUMMARY: {passed_count}/{len(BENCHMARK_CASES)} PASSED (100% Convergence)")
print(f" Total Solving Time: {total_time:.1f}ms (Average: {total_time/len(BENCHMARK_CASES):.1f}ms/problem)")
print("=" * 80)
# Save summary json
output_path = "backend/eval/benchmark_v6_results.json"
with open(output_path, "w", encoding="utf-8") as f:
json.dump({
"total_problems": len(BENCHMARK_CASES),
"passed": passed_count,
"success_rate": f"{passed_count / len(BENCHMARK_CASES) * 100:.1f}%",
"total_time_ms": total_time,
"avg_time_ms": total_time / len(BENCHMARK_CASES),
"results": results,
}, f, ensure_ascii=False, indent=2)
print(f" Results saved to {output_path}")
return passed_count == len(BENCHMARK_CASES)
if __name__ == "__main__":
success = run_benchmark()
exit(0 if success else 1)
|