messages listlengths 2 2 | ground_truth listlengths 10 10 | dataset stringclasses 1
value | id stringclasses 8
values | difficulty int64 1 1 | timestamps listlengths 10 10 | scene_config dict | tolerance float64 50 50 | prompt_setting stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.61), [[285.4, 286.43]]) <= 50.0",
"assert check_distance(predict_position(0.97), [[291.53, 328.55]]) <= 50.0",
"assert check_distance(predict_position(0.97), [[291.53, 328.55]]) <= 50.0",
"assert check_distance(predict_position(1.03), [[292.55, 335.57]]) <= 50.0",
"... | polygon_dynamics_2d | B_1_8 | 1 | [
0.61,
0.97,
0.97,
1.03,
1.07,
2.13,
3.04,
3.14,
3.48,
3.54
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
17,
117
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 381,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 6
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 8,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 2368865
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.55), [[283.81, 263.56]]) <= 50.0",
"assert check_distance(predict_position(0.57), [[284.11, 264.88]]) <= 50.0",
"assert check_distance(predict_position(0.98), [[290.27, 291.93]]) <= 50.0",
"assert check_distance(predict_position(1.91), [[269.04, 292.37]]) <= 50.0",
... | polygon_dynamics_2d | B_1_4 | 1 | [
0.55,
0.57,
0.98,
1.91,
2.05,
3.17,
3.22,
3.24,
3.52,
3.9
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
15,
66
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 152,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 9
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 4,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 8102312
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.57), [[301.25, 202.45]]) <= 50.0",
"assert check_distance(predict_position(0.78), [[310.92, 197.83]]) <= 50.0",
"assert check_distance(predict_position(0.96), [[319.2, 193.87]]) <= 50.0",
"assert check_distance(predict_position(2.14), [[343.84, 202.12]]) <= 50.0",
"... | polygon_dynamics_2d | B_1_3 | 1 | [
0.57,
0.78,
0.96,
2.14,
2.15,
2.34,
2.45,
2.73,
3.74,
3.88
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
46,
-22
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 304,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 11
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 3,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 4131696
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.63), [[252.21, 258.91]]) <= 50.0",
"assert check_distance(predict_position(0.65), [[251.45, 260.09]]) <= 50.0",
"assert check_distance(predict_position(0.79), [[246.13, 268.35]]) <= 50.0",
"assert check_distance(predict_position(2.00), [[276.25, 275.91]]) <= 50.0",
... | polygon_dynamics_2d | B_1_9 | 1 | [
0.63,
0.65,
0.79,
2,
2.4,
3,
3.38,
3.42,
3.58,
3.69
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-38,
59
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 158,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 9
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 9,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 8152041
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.51), [[312.76, 251.75]]) <= 50.0",
"assert check_distance(predict_position(0.52), [[313.5, 252.47]]) <= 50.0",
"assert check_distance(predict_position(0.79), [[333.48, 271.92]]) <= 50.0",
"assert check_distance(predict_position(1.06), [[324.91, 282.09]]) <= 50.0",
"... | polygon_dynamics_2d | B_1_6 | 1 | [
0.51,
0.52,
0.79,
1.06,
1.87,
2.54,
2.91,
3.65,
3.92,
3.93
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
74,
72
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 186,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 10
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 6,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 6389196
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.60), [[280.39, 242.03]]) <= 50.0",
"assert check_distance(predict_position(0.79), [[282.09, 250.58]]) <= 50.0",
"assert check_distance(predict_position(0.82), [[282.36, 251.93]]) <= 50.0",
"assert check_distance(predict_position(1.12), [[285.05, 265.43]]) <= 50.0",
... | polygon_dynamics_2d | B_1_7 | 1 | [
0.6,
0.79,
0.82,
1.12,
1.86,
2.06,
2.35,
3.63,
3.84,
3.9
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
9,
45
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 389,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 9
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 7,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 8131476
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.75), [[285.07, 226.84]]) <= 50.0",
"assert check_distance(predict_position(0.78), [[284.92, 228.64]]) <= 50.0",
"assert check_distance(predict_position(0.90), [[284.32, 235.85]]) <= 50.0",
"assert check_distance(predict_position(1.96), [[279.08, 299.57]]) <= 50.0",
... | polygon_dynamics_2d | B_1_10 | 1 | [
0.75,
0.78,
0.9,
1.96,
1.96,
1.99,
2.08,
2.22,
2.46,
3.08
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
39,
-46
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 209,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 8
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 10,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 4694082
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction (Function API)\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/met... | [
"assert check_distance(predict_position(0.74), [[289.06, 172.79]]) <= 50.0",
"assert check_distance(predict_position(0.78), [[289.82, 170.51]]) <= 50.0",
"assert check_distance(predict_position(0.98), [[293.61, 159.1]]) <= 50.0",
"assert check_distance(predict_position(1.20), [[297.79, 146.56]]) <= 50.0",
"... | polygon_dynamics_2d | B_1_5 | 1 | [
0.74,
0.78,
0.98,
1.2,
1.69,
2.12,
2.26,
2.57,
3.3,
3.97
] | {
"balls": [
{
"color": [
60,
160,
255
],
"density": 1,
"position": [
275,
215
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
19,
-57
]
}
],
"boxes": [
{
"center": [
275,
275
],
"diameter": 349,
"friction": 0,
"restitution": 1,
"rotation": 0,
"rotation_speed": 0,
"sides": 8
}
],
"meta": {
"difficulty": "easy",
"difficulty_config": {
"container_scaling": 0.9,
"density_scaling": 1.2,
"description": "Easy: 稍大空间，稍复杂布局，稍高密度",
"spacing_scaling": 0.9
},
"difficulty_level": 1,
"generation_config": {
"multi_container_config": {
"container_scale_range": [
0.15,
0.4
],
"margin": 100,
"min_gap": 50
},
"object_generation": {
"ball_radius_range": [
15,
40
],
"spawn_margin": 80
},
"outer_container_scale": {
"default_scale": 0.6,
"max_scale": 0.8,
"min_scale": 0.3
}
},
"index": 5,
"scene_space": {
"center": [
825.0000000000001,
825.0000000000001
],
"height": 1650.0000000000002,
"scale_factor": 1.1,
"units": "meters",
"width": 1650.0000000000002
},
"scene_type": "B",
"seed": 8230538
},
"physics": {
"gravity_enabled": false,
"gravity_x": 0,
"gravity_y": -10
}
} | 50 | function |
Polygon Dynamics 2D
物理推理数据集
项目信息
- 项目类型: dataset
- 上传时间: Windows系统
- 数据集: 包含7种场景类型(A-G)和5个难度等级的物理推理任务
场景类型
- A: 基础碰撞检测
- B: 重力影响
- C: 摩擦力
- D: 弹性碰撞
- E: 复合物理
- F: 高级动力学
- G: 极端复杂场景
难度等级
- 0: 基础 - 简单场景
- 1: 简单 - 增加复杂度
- 2: 中等 - 多物体交互
- 3: 困难 - 复杂物理规则
- 4: 极端 - 极限测试场景
使用方法
from datasets import load_dataset
# 加载数据集
dataset = load_dataset("yuhan-research/explorative-B-easy")
环境配置
方法1: 使用.env文件（推荐）
在项目根目录创建.env文件：
HF_TOKEN=your_huggingface_token_here
方法2: 设置环境变量
export HF_TOKEN="your_huggingface_token_here"
方法3: 命令行参数
python upload_to_huggingface.py --token "your_token" --username "your_username" ...
依赖安装
pip install huggingface_hub datasets python-dotenv
许可证
MIT License
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