diff --git a/08_nbody/README.md b/08_nbody/README.md deleted file mode 100644 index 127acff5..00000000 --- a/08_nbody/README.md +++ /dev/null @@ -1,18 +0,0 @@ -# N 体引力模拟与可视化 - -## 简介 - -你是“巡天”深空探测项目的核心算法工程师，负责模拟小行星带、卫星碎片和探测器之间的引力相互作用，以辅助航迹规划和碰撞风险评估。地面控制中心每天需要评估大量不同初始条件下的演化结果，传统 CPU 程序在粒子数量上升后很快无法满足交互式分析需求。 - -你的任务是开发一个 GPU 加速的 N 体引力模拟器，能够并行计算数千到数十万个天体之间的相互作用，并输出轨迹数据供 Python 可视化。最终，你需要提供一个可以展示星团演化、轨道扰动和局部碰撞风险的动画脚本，帮助工程团队直观理解模拟结果。 - -## 任务内容 -开发 CUDA 程序模拟 N 体引力系统，并输出轨迹点供 Python 可视化。 - -## 📬 有疑问? - -更多详细信息和要求请参考本季度项目文档。 - -可以在项目群里直接询问导师和助教！ - -Good luck and happy coding! 🚀 diff --git a/08_nbody/lihaokun-2026/README.md b/08_nbody/lihaokun-2026/README.md new file mode 100644 index 00000000..c965e607 --- /dev/null +++ b/08_nbody/lihaokun-2026/README.md @@ -0,0 +1,126 @@ +# N 体引力模拟与可视化 + +## 简介 + +你是“巡天”深空探测项目的核心算法工程师，负责模拟小行星带、卫星碎片和探测器之间的引力相互作用，以辅助航迹规划和碰撞风险评估。地面控制中心每天需要评估大量不同初始条件下的演化结果，传统 CPU 程序在粒子数量上升后很快无法满足交互式分析需求。 + +你的任务是开发一个 GPU 加速的 N 体引力模拟器，能够并行计算数千到数十万个天体之间的相互作用，并输出轨迹数据供 Python 可视化。最终，你需要提供一个可以展示星团演化、轨道扰动和局部碰撞风险的动画脚本，帮助工程团队直观理解模拟结果。 + +## 任务内容 + +开发 CUDA 程序模拟 N 体引力系统，并输出轨迹点供 Python 可视化。 + +# N 体引力模拟器（CUDA） + +## 实现与文件 + +- `nbody.cu`：共享内存分块的直接 O(N²) 引力计算，支持半隐式 Euler 和 Leapfrog。 +- `visualize.py`：NumPy 内存映射读取 BIN，提供统一 CLI，所有模式使用 Matplotlib `FuncAnimation`。 +- `raster_animation.py`：CUDA/NumPy 投影和密度图生成，Matplotlib 绘制图像及固定粒子 ID 的连续尾迹。 +- `data/generate_cases.py`：原有双体、星团、太阳系、银河盘尺度 benchmark 的确定性生成器。 +- `data/generate_orbit_demo.py`：独立归一化轨道演示，不改写现有 benchmark。 +- `test_visualization.py`：读取、帧选择、渲染计算、CUDA 对照与动画导出回归。 +- `test_a800_visualization.sh`：复用已有 BIN 进行 A800/CPU 对比，输出日志、视频及截图。 + +## 编译、模拟与动画 + +以下在 Linux 的 `08_nbody` 目录执行，使用的是4090的GPU，编译参数使用`-arch=sm_89` + +### 环境配置 + +```bash +# 首先安装pip依赖包 +pip install -r requirements +``` + +```bash +# 安装ffmpeg +# 下载预编译包 +curl -fL --retry 3 --connect-timeout 20 \ + https://johnvansickle.com/ffmpeg/releases/ffmpeg-release-amd64-static.tar.xz \ + -o "$HOME/.local/opt/nbody-ffmpeg/ffmpeg.tar.xz" +# 下载成功后解压 +tar -xJf "$HOME/.local/opt/nbody-ffmpeg/ffmpeg.tar.xz" \ + -C "$HOME/.local/opt/nbody-ffmpeg" \ + --strip-components=1 +# 让当前终端和 Python 找到这两个程序 +export PATH="$HOME/.local/opt/nbody-ffmpeg:$PATH" +# 验证ffmpeg软件 +ffmpeg -version +ffprobe -version +``` + +```bash +# 编译cuda文件 （4090硬件） +nvcc -O3 -std=c++17 -lineinfo -arch=sm_89 nbody.cu -o nbody +``` + +### 验证4096粒子 + +```bash +# 生成4096粒子的随机信息 +python3 data/generate_cases.py --case benchmark_4096 \ +--output-dir data/ +# 生成4096粒子的运动轨迹和日志 +./nbody \ +data/benchmark_4096_particles.txt \ +data/benchmark_4096_params.txt \ +results/benchmark_4096.bin \ +results/benchmark_4096.performance.log +# 验证4096粒子运动符合规律 +python3 verify_trajectory.py results/benchmark_4096.bin --particles data/benchmark_4096_particles.txt --params data/benchmark_4096_params.txt --sample-particles 16 --report results/verified_4096/benchmark_4096.validation.json +# 生成4096粒子动画 +python3 visualize.py results/benchmark_4096.bin \ + --objects data/benchmark_4096_objects.txt \ + --backend gpu --dimension 3d --layout detail \ + --fps 25 --trail 160 --trail-particles 32 --z-scale 1 \ + --record-dt .01 --time-unit Myr --video-encoder cpu \ + --output results/verified_4096/benchmark_4096_detail.mp4 +``` + +### 验证65536粒子 + +```bash +# 生成65536粒子的随机信息 +python3 data/generate_cases.py --case benchmark_65536 --output-dir data + +# 生成65536粒子的运动轨迹和日志 +./nbody \ + data/benchmark_65536_particles.txt \ + data/benchmark_65536_params.txt \ + results/benchmark_65536.bin \ + results/benchmark_65536.performance.log + +# 验证65536粒子运动符合规律 +python3 verify_trajectory.py \ + results/benchmark_65536.bin \ + --particles data/benchmark_65536_particles.txt \ + --params data/benchmark_65536_params.txt \ + --sample-particles 16 \ + --report results/verified_65536/benchmark_65536.validation.json + +# 生成65536粒子动画 +python3 visualize.py results/benchmark_65536.bin \ + --objects data/benchmark_65536_objects.txt \ + --backend gpu --dimension 3d --layout detail \ + --fps 25 --trail 160 --trail-particles 32 --z-scale 1 \ + --record-dt .01 --time-unit Myr --video-encoder cpu \ + --output results/verified_65536/benchmark_4096_detail.mp4 +``` + +## 单粒子可视化 + +由于生成的`4096`粒子和`65536`粒子在生成的mp4动画中难以观察到粒子的细致变换，因此，开发了`trajectory_viewer.html`这个可视化的页面，通过导入`4096`粒子和`65536`粒子的二进制的bin文件，即可逐个粒子的观察运动轨迹。 + +如图所示： +![alt text](image.png) + +导入轨迹bin文件后，可以选择某个编号儿的粒子，例如这里选择了976这个编号的粒子，可以放大选中路径，然后点击播放，观看粒子的运动轨迹。 + +## 显卡适配 + +由于本项目主要利用cuda并行编程对粒子进行模型，因此需要进行平台适配的是`nbody.cu`文件 + +- 在`nbody.maca`文件中完成对沐曦平台的粒子模拟代码适配； + + diff --git a/08_nbody/lihaokun-2026/__pycache__/visualize.cpython-310.pyc b/08_nbody/lihaokun-2026/__pycache__/visualize.cpython-310.pyc new file mode 100644 index 00000000..0ca34d62 Binary files /dev/null and b/08_nbody/lihaokun-2026/__pycache__/visualize.cpython-310.pyc differ diff --git a/08_nbody/lihaokun-2026/data/benchmark_4096_manifest.json b/08_nbody/lihaokun-2026/data/benchmark_4096_manifest.json new file mode 100644 index 00000000..11367b40 --- /dev/null +++ b/08_nbody/lihaokun-2026/data/benchmark_4096_manifest.json @@ -0,0 +1,34 @@ +{ + "case": "benchmark_4096", + "expected_records": 1001, + "generator_sha256": "61502a34c493ac39555c37a2507e8721ab7ea5d4a531b89c074ac962984f85b7", + "parameters": { + "G": "0.1559", + "dt": "0.01", + "integrator": "leapfrog", + "num_steps": "1000", + "record_interval": "1", + "softening": "1.0" + }, + "particle_count": 4096, + "population_counts": { + "asteroid": 3432, + "black_hole": 1, + "neutron_star_white_dwarf": 8, + "planet": 614, + "star": 41 + }, + "python_version": "3.10.20", + "seed": 41, + "sha256": { + "benchmark_4096_objects.txt": "7f4b0616b6b530ff1e47c52f093a7ac73db3bd155cad61c0e7e508cd622f766d", + "benchmark_4096_params.txt": "88473f42ac289562503a60a97a68a1182cbccdfd24ccb828913cf12db39f85ec", + "benchmark_4096_particles.txt": "c427c98b92b181cd874658302b105eaa566e92b4820ac87f9c1d97a87ff38f62" + }, + "units": { + "mass": "Msun", + "position": "ly", + "time": "Myr", + "velocity": "ly/Myr" + } +} 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1.8202891e-14 +33179.8034 -33599.7734 1132.33392 2.92890659 3.29945999 0.42772525 1.03849618e-07 +-44329.7925 -479.858366 563.075726 0.0305727654 -4.66078325 0.693523816 2.62956364e-15 +-48567.6544 4126.62332 -127.817896 2.09009813 -3.4834972 -0.292202717 4.31188071e-12 +-29506.5238 -8298.4512 560.221424 2.08275017 -4.44084662 -0.429198679 3.72873151e-13 +-21901.6309 35684.4825 1493.56657 -4.14278873 -1.52371668 0.136623428 7.35803585e-10 +6612.69543 -46823.0474 -807.24616 3.16804573 0.396337557 0.596605437 5.5761925e-09 +-25851.7183 -35006.3963 683.716705 2.8186794 -2.2344146 0.53689471 1.04203642e-12 +-9087.58334 -33385.8929 -323.763533 4.46704573 0.150754553 0.778803191 4.64418741e-08 +25318.2753 -13325.875 415.170216 2.12372434 5.07627659 1.38966597 9.5847649e-10 +-39927.5689 29102.8812 1216.67791 -1.8388012 -3.47375709 -0.87648427 1.07495796e-09 +15746.4784 32859.6693 -1099.98244 -2.83209437 3.50552006 -0.482398569 3.95915862e-10 +574.753517 2905.91737 1034.43997 -14.9629996 10.6800747 -0.545985116 0.000697708568 diff --git a/08_nbody/lihaokun-2026/data/generate_cases.py b/08_nbody/lihaokun-2026/data/generate_cases.py new file mode 100644 index 00000000..0088b661 --- /dev/null +++ b/08_nbody/lihaokun-2026/data/generate_cases.py @@ -0,0 +1,231 @@ +"""Generate deterministic N-body input cases for benchmarking and validation. + +Usage: + python generate_cases.py + python generate_cases.py --case benchmark_4096 --output-dir data + +The generated particle files use: x y z vx vy vz mass. + +Physical units for the galaxy cases: + position: light-years (ly), velocity: ly/Myr, mass: solar masses (Msun) +""" +from pathlib import Path +import argparse +import hashlib +import json +import math +import platform +import random + +ROOT = Path(__file__).parent + +# 1 km/s is approximately 3.3356 ly/Myr. The values below describe a +# Milky-Way-like stellar disk, not a precision astrophysical catalogue. +GALAXY_G = 0.1559 # ly^3 / (Msun * Myr^2) +GALAXY_RADIUS = 50000.0 +GALAXY_HALF_THICKNESS = 1500.0 +CENTRAL_BLACK_HOLE_MASS = 4.3e6 + + +def write_case(name, particles, params, output_dir=ROOT): + (output_dir / f"{name}_particles.txt").write_text( + "\n".join("{:.9g} {:.9g} {:.9g} {:.9g} {:.9g} {:.9g} {:.9g}".format(*p) for p in particles) + "\n", + encoding="utf-8", + ) + (output_dir / f"{name}_params.txt").write_text( + "\n".join(f"{key} = {value}" for key, value in params.items()) + "\n", + encoding="utf-8", + ) + + +def population_counts(count): + """Return deterministic counts for the five hierarchical object types.""" + compact = max(2, round(count * 0.002)) + stars = max(1, round(count * 0.01)) + planets = max(1, round(count * 0.15)) + black_holes = 1 + neutron_white = compact + asteroids = count - black_holes - neutron_white - stars - planets + if asteroids < 1: + raise ValueError("count is too small for the object population") + return { + "black_hole": black_holes, + "neutron_star_white_dwarf": neutron_white, + "star": stars, + "planet": planets, + "asteroid": asteroids, + } + + +def random_mass(object_type, rng): + """Sample astrophysical masses in solar masses (Msun).""" + ranges = { + "black_hole": (4.3e6, 4.3e6), + "neutron_star_white_dwarf": (0.5, 2.3), + "star": (0.08, 100.0), + "planet": (1.0e-8, 1.0e-3), + "asteroid": (1.0e-15, 1.0e-8), + } + low, high = ranges[object_type] + return low if low == high else 10.0 ** rng.uniform(math.log10(low), math.log10(high)) + + +def write_random_population(name, count, params, seed, output_dir=ROOT): + """Stream a reproducible Milky-Way-scale random stellar population. + + The disk has a 100,000 ly diameter and a 3,000 ly thickness. Position + samples are random in the disk volume. Velocities have random radial, + vertical and tangential components around the circular velocity generated + by the central black hole. A full Milky-Way rotation curve would require + an additional stellar/dark-matter potential, which is not an explicit + particle in this direct N-body benchmark. + """ + rng = random.Random(seed) + path = output_dir / f"{name}_particles.txt" + metadata_path = output_dir / f"{name}_objects.txt" + counts = population_counts(count) + object_types = [kind for kind, number in counts.items() for _ in range(number)] + rng.shuffle(object_types) + masses = [] + with path.open("w", encoding="utf-8", newline="\n") as output: + for index, object_type in enumerate(object_types): + mass = random_mass(object_type, rng) + if object_type == "black_hole": + # The Milky Way's central black hole is the one intentional + # non-random position; this avoids an arbitrary off-centre + # 4.3-million-solar-mass attractor. + values = (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, mass) + else: + radius = 100.0 + (GALAXY_RADIUS - 100.0) * math.sqrt(rng.random()) + angle = rng.uniform(0.0, 2.0 * math.pi) + x = radius * math.cos(angle) + y = radius * math.sin(angle) + z = rng.uniform(-GALAXY_HALF_THICKNESS, GALAXY_HALF_THICKNESS) + circular = math.sqrt(GALAXY_G * CENTRAL_BLACK_HOLE_MASS / radius) + radial = rng.gauss(0.0, 0.30 * circular) + tangential = circular * rng.uniform(0.80, 1.20) + vertical = rng.gauss(0.0, 0.15 * circular) + vx = radial * math.cos(angle) - tangential * math.sin(angle) + vy = radial * math.sin(angle) + tangential * math.cos(angle) + values = (x, y, z, vx, vy, vertical, mass) + masses.append(mass) + output.write("{:.9g} {:.9g} {:.9g} {:.9g} {:.9g} {:.9g} {:.9g}\n".format(*values)) + with metadata_path.open("w", encoding="utf-8", newline="\n") as metadata: + metadata.write("index type mass\n") + for index, object_type in enumerate(object_types): + metadata.write(f"{index} {object_type} {masses[index]:.9g}\n") + with (output_dir / f"{name}_params.txt").open("w", encoding="utf-8", newline="\n") as output: + output.write("\n".join(f"{key} = {value}" for key, value in params.items()) + "\n") + manifest = { + "case": name, "particle_count": count, "seed": seed, + "python_version": platform.python_version(), + "generator_sha256": hashlib.sha256(Path(__file__).read_bytes()).hexdigest(), + "units": {"position": "ly", "velocity": "ly/Myr", "mass": "Msun", "time": "Myr"}, + "population_counts": counts, "parameters": params, + "expected_records": int(params["num_steps"]) // int(params["record_interval"]) + 1, + "sha256": {f"{name}_{suffix}.txt": hashlib.sha256( + (output_dir / f"{name}_{suffix}.txt").read_bytes()).hexdigest() + for suffix in ("particles", "params", "objects")}, + } + (output_dir / f"{name}_manifest.json").write_text( + json.dumps(manifest, indent=2, sort_keys=True) + "\n", encoding="utf-8") + print(f"Generated {name}: particles={count}, seed={seed}, records={manifest['expected_records']}") + + +def two_body(): + # Equal masses in a circular orbit around their center of mass. + speed = math.sqrt(0.5) + return [(-0.5, 0, 0, 0, -speed, 0, 1), (0.5, 0, 0, 0, speed, 0, 1)] + + +def solar_system(): + # Normalized Sun + four planets with different orbital inclinations. + particles = [(0, 0, 0, 0, 0, 0, 1000.0)] + planets = [(0.4, 0.01, -8), (0.7, 0.02, 4), (1.0, 0.03, 12), (1.5, 0.04, -16)] + for radius, mass, inclination_degrees in planets: + inclination = math.radians(inclination_degrees) + speed = math.sqrt(1000.0 / radius) + particles.append((radius, 0, 0, 0, speed * math.cos(inclination), + speed * math.sin(inclination), mass)) + return particles + + +def cluster(count=64, seed=7): + rng = random.Random(seed) + particles = [] + for _ in range(count): + # Gaussian compact cluster with small random velocities. + x, y, z = (rng.gauss(0, 1) for _ in range(3)) + vx, vy, vz = (rng.gauss(0, 0.08) for _ in range(3)) + particles.append((x, y, z, vx, vy, vz, 1.0 / count)) + return particles + + +def plummer_sphere(count=256, seed=23): + # Isotropic 3D cloud with tangential swirl for an obvious 3D animation. + rng = random.Random(seed) + particles = [] + for _ in range(count): + u = max(rng.random(), 1e-6) + radius = min((u ** (-2.0 / 3.0) - 1.0) ** -0.5, 8.0) + cos_theta = 2 * rng.random() - 1 + sin_theta = math.sqrt(1 - cos_theta * cos_theta) + phi = 2 * math.pi * rng.random() + x = radius * sin_theta * math.cos(phi) + y = radius * sin_theta * math.sin(phi) + z = radius * cos_theta + vx = -0.12 * y + rng.gauss(0, 0.025) + vy = 0.12 * x + rng.gauss(0, 0.025) + vz = rng.gauss(0, 0.04) + particles.append((x, y, z, vx, vy, vz, 1.0 / count)) + return particles + + +def disk(count=1024, seed=11): + rng = random.Random(seed) + particles = [(0, 0, 0, 0, 0, 0, 1000.0)] + for _ in range(count): + radius = 0.5 + 4.5 * math.sqrt(rng.random()) + angle = 2 * math.pi * rng.random() + x, y = radius * math.cos(angle), radius * math.sin(angle) + velocity = math.sqrt(1000.0 / radius) + particles.append((x, y, rng.gauss(0, 0.01), -velocity * math.sin(angle), + velocity * math.cos(angle), rng.gauss(0, 0.01), 1e-3)) + return particles + + +COMMON = {"dt": "1e-3", "record_interval": "1", "G": "1.0", "softening": "1e-4", "integrator": "leapfrog"} +SMALL_CASES = { + "two_body": (two_body, {**COMMON, "num_steps": "1000"}), + "solar_system": (solar_system, {**COMMON, "dt": "1e-4", "num_steps": "1000"}), + "cluster_64": (cluster, {**COMMON, "dt": "2e-4", "num_steps": "1000"}), + "plummer_256": (plummer_sphere, {**COMMON, "dt": "2e-3", "num_steps": "1000", "softening": "2e-2"}), + "disk_1024": (disk, {**COMMON, "dt": "1e-4", "num_steps": "1000"}), +} +BENCHMARKS = {"benchmark_4096": (4096, 41), "benchmark_65536": (65536, 43)} +BENCHMARK_PARAMS = {"dt": "0.01", "record_interval": "1", "G": str(GALAXY_G), + "num_steps": "1000", "softening": "1.0", "integrator": "leapfrog"} + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--case", choices=["all", *SMALL_CASES, *BENCHMARKS], default="all", + help="Generate only this case; default: all (legacy behavior).") + parser.add_argument("--output-dir", type=Path, default=ROOT, + help="Destination directory; default: directory containing this script.") + args = parser.parse_args() + args.output_dir.mkdir(parents=True, exist_ok=True) + names = [*SMALL_CASES, *BENCHMARKS] if args.case == "all" else [args.case] + for name in names: + if name in BENCHMARKS: + count, seed = BENCHMARKS[name] + write_random_population(name, count, BENCHMARK_PARAMS, seed, args.output_dir) + else: + factory, params = SMALL_CASES[name] + write_case(name, factory(), params, args.output_dir) + print(f"Generated {name}") + print("Output directory:", args.output_dir.resolve()) + + +if __name__ == "__main__": + main() diff --git a/08_nbody/lihaokun-2026/image.png b/08_nbody/lihaokun-2026/image.png new file mode 100644 index 00000000..ba48cc3b Binary files /dev/null and b/08_nbody/lihaokun-2026/image.png differ diff --git a/08_nbody/lihaokun-2026/nbody b/08_nbody/lihaokun-2026/nbody new file mode 100755 index 00000000..8a2ff1e7 Binary files /dev/null and b/08_nbody/lihaokun-2026/nbody differ diff --git a/08_nbody/lihaokun-2026/nbody.cu b/08_nbody/lihaokun-2026/nbody.cu new file mode 100644 index 00000000..a9e8e6ba --- /dev/null +++ b/08_nbody/lihaokun-2026/nbody.cu @@ -0,0 +1,389 @@ +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#define CUDA_CHECK(call) \ + do { \ + cudaError_t error__ = (call); \ + if (error__ != cudaSuccess) { \ + std::ostringstream message__; \ + message__ << "CUDA error at " << __FILE__ << ":" << __LINE__ \ + << ": " << cudaGetErrorString(error__); \ + throw std::runtime_error(message__.str()); \ + } \ + } while (false) + +constexpr int TILE_SIZE = 256; + +struct Params { + float dt = 1.0e-3f; + int steps = 1000; + int record_interval = 100; + float G = 1.0f; + float softening = 1.0e-4f; + std::string integrator = "leapfrog"; +}; + +struct Body { + float x, y, z, vx, vy, vz, mass; +}; + +struct Diagnostics { + double energy = 0.0; + double px = 0.0, py = 0.0, pz = 0.0; + double momentum_scale = 0.0; + bool sampled_energy = false; + std::uint64_t energy_pairs = 0; +}; + +static Diagnostics compute_diagnostics(const std::vector& bodies, float gravitational_constant, + float softening) { + Diagnostics result; + for (const Body& body : bodies) { + const double speed_squared = static_cast(body.vx) * body.vx + + static_cast(body.vy) * body.vy + + static_cast(body.vz) * body.vz; + result.energy += 0.5 * body.mass * speed_squared; + result.px += static_cast(body.mass) * body.vx; + result.py += static_cast(body.mass) * body.vy; + result.pz += static_cast(body.mass) * body.vz; + result.momentum_scale += std::abs(static_cast(body.mass)) * std::sqrt(speed_squared); + } + + const std::uint64_t n = bodies.size(); + const std::uint64_t total_pairs = n * (n - 1) / 2; + constexpr std::uint64_t MAX_ENERGY_PAIRS = 8'000'000; + double potential_sum = 0.0; + if (total_pairs <= MAX_ENERGY_PAIRS) { + result.energy_pairs = total_pairs; + for (std::uint64_t i = 0; i < n; ++i) { + for (std::uint64_t j = i + 1; j < n; ++j) { + const double dx = static_cast(bodies[j].x) - bodies[i].x; + const double dy = static_cast(bodies[j].y) - bodies[i].y; + const double dz = static_cast(bodies[j].z) - bodies[i].z; + const double distance = std::sqrt(dx * dx + dy * dy + dz * dz + + static_cast(softening) * softening); + potential_sum -= gravitational_constant * bodies[i].mass * bodies[j].mass / distance; + } + } + } else { + result.sampled_energy = true; + result.energy_pairs = MAX_ENERGY_PAIRS; + std::uint64_t state = 0x9e3779b97f4a7c15ULL; + for (std::uint64_t sample = 0; sample < MAX_ENERGY_PAIRS; ++sample) { + state ^= state >> 12; state ^= state << 25; state ^= state >> 27; + const std::uint64_t i = (state * 0x2545F4914F6CDD1DULL) % n; + state ^= state >> 12; state ^= state << 25; state ^= state >> 27; + std::uint64_t j = (state * 0x2545F4914F6CDD1DULL) % (n - 1); + if (j >= i) ++j; + const double dx = static_cast(bodies[j].x) - bodies[i].x; + const double dy = static_cast(bodies[j].y) - bodies[i].y; + const double dz = static_cast(bodies[j].z) - bodies[i].z; + const double distance = std::sqrt(dx * dx + dy * dy + dz * dz + + static_cast(softening) * softening); + potential_sum -= gravitational_constant * bodies[i].mass * bodies[j].mass / distance; + } + potential_sum *= static_cast(total_pairs) / MAX_ENERGY_PAIRS; + } + result.energy += potential_sum; + return result; +} + +static double benchmark_cpu_force(const std::vector& input, const Params& params, + int& benchmark_particles, int& benchmark_steps) { + benchmark_particles = std::min(static_cast(input.size()), 1024); + const std::uint64_t interactions_per_step = static_cast(benchmark_particles) * benchmark_particles; + benchmark_steps = std::max(1, std::min(100, static_cast(20'000'000 / std::max(1, interactions_per_step)))); + std::vector acceleration(benchmark_particles); + volatile float checksum = 0.0f; + const auto start = std::chrono::steady_clock::now(); + for (int step = 0; step < benchmark_steps; ++step) { + for (int i = 0; i < benchmark_particles; ++i) { + float ax = 0, ay = 0, az = 0; + for (int j = 0; j < benchmark_particles; ++j) { + const float dx = input[j].x - input[i].x; + const float dy = input[j].y - input[i].y; + const float dz = input[j].z - input[i].z; + const float r2 = dx * dx + dy * dy + dz * dz + params.softening * params.softening; + const float inv_r = 1.0f / std::sqrt(r2); + const float scale = params.G * input[j].mass * inv_r * inv_r * inv_r; + ax += dx * scale; ay += dy * scale; az += dz * scale; + } + acceleration[i] = make_float4(ax, ay, az, 0); + } + checksum += acceleration[step % benchmark_particles].x; + } + const double seconds = std::chrono::duration(std::chrono::steady_clock::now() - start).count(); + if (!std::isfinite(checksum)) throw std::runtime_error("CPU benchmark produced non-finite values"); + return interactions_per_step * static_cast(benchmark_steps) / seconds; +} + +__global__ void acceleration_kernel(const float4* positions, float4* acceleration, + int n, float gravitational_constant, + float softening_squared) { + __shared__ float4 tile[TILE_SIZE]; + const int i = blockIdx.x * blockDim.x + threadIdx.x; + const bool active = i < n; + const float4 pi = active ? positions[i] : make_float4(0, 0, 0, 0); + float ax = 0.0f, ay = 0.0f, az = 0.0f; + for (int base = 0; base < n; base += TILE_SIZE) { + const int j = base + threadIdx.x; + tile[threadIdx.x] = (j < n) ? positions[j] : make_float4(0, 0, 0, 0); + __syncthreads(); + const int count = min(TILE_SIZE, n - base); + if (active) { + for (int k = 0; k < count; ++k) { + const float4 pj = tile[k]; + const float dx = pj.x - pi.x; + const float dy = pj.y - pi.y; + const float dz = pj.z - pi.z; + const float distance_squared = dx * dx + dy * dy + dz * dz + softening_squared; + const float inv_distance = rsqrtf(distance_squared); + const float scale = gravitational_constant * pj.w * inv_distance * inv_distance * inv_distance; + ax += dx * scale; + ay += dy * scale; + az += dz * scale; + } + } + __syncthreads(); + } + if (active) acceleration[i] = make_float4(ax, ay, az, 0.0f); +} + +__global__ void euler_kernel(float4* positions, double4* precise_positions, double4* velocities, + const float4* acceleration, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + double4 p = precise_positions[i], v = velocities[i]; + const float4 a = acceleration[i]; + v.x += static_cast(a.x) * dt; + v.y += static_cast(a.y) * dt; + v.z += static_cast(a.z) * dt; + p.x += v.x * dt; p.y += v.y * dt; p.z += v.z * dt; + velocities[i] = v; precise_positions[i] = p; + positions[i] = make_float4(static_cast(p.x), static_cast(p.y), + static_cast(p.z), positions[i].w); +} + +__global__ void kick_kernel(double4* velocities, const float4* acceleration, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + velocities[i].x += static_cast(acceleration[i].x) * dt; + velocities[i].y += static_cast(acceleration[i].y) * dt; + velocities[i].z += static_cast(acceleration[i].z) * dt; +} + +__global__ void drift_kernel(float4* positions, double4* precise_positions, + const double4* velocities, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + // Preserve sub-ULP drifts at large coordinates instead of rounding every step. + double4 p = precise_positions[i]; + p.x += velocities[i].x * dt; + p.y += velocities[i].y * dt; + p.z += velocities[i].z * dt; + precise_positions[i] = p; + positions[i] = make_float4(static_cast(p.x), static_cast(p.y), + static_cast(p.z), positions[i].w); +} + +static void read_particles(const std::string& path, std::vector& bodies) { + std::ifstream input(path); + if (!input) throw std::runtime_error("cannot open particle file: " + path); + Body body{}; + while (input >> body.x >> body.y >> body.z >> body.vx >> body.vy >> body.vz >> body.mass) + bodies.push_back(body); + if (bodies.empty() || !input.eof()) throw std::runtime_error("invalid particle file: " + path); +} + +static void read_params(const std::string& path, Params& p) { + std::ifstream input(path); + if (!input) throw std::runtime_error("cannot open parameter file: " + path); + std::string line; + while (std::getline(input, line)) { + const auto comment = line.find('#'); + if (comment != std::string::npos) line.resize(comment); + std::istringstream row(line); + std::string key, equals, value; + if (!(row >> key)) continue; + if (key == "dt") row >> equals >> p.dt; + else if (key == "num_steps") row >> equals >> p.steps; + else if (key == "record_interval") row >> equals >> p.record_interval; + else if (key == "G") row >> equals >> p.G; + else if (key == "softening") row >> equals >> p.softening; + else if (key == "integrator") row >> equals >> p.integrator; + } + if (p.dt <= 0 || p.steps < 0 || p.record_interval <= 0 || p.softening < 0) + throw std::runtime_error("invalid simulation parameters"); + if (p.integrator != "euler" && p.integrator != "leapfrog") + throw std::runtime_error("integrator must be euler or leapfrog"); +} + +static void write_trajectory(const std::string& path, int n, int records, + const std::vector& trajectory) { + std::ofstream output(path, std::ios::binary); + if (!output) throw std::runtime_error("cannot create output file: " + path); + const std::int32_t particle_count = n, record_count = records; + output.write(reinterpret_cast(&particle_count), sizeof(particle_count)); + output.write(reinterpret_cast(&record_count), sizeof(record_count)); + output.write(reinterpret_cast(trajectory.data()), + static_cast(trajectory.size() * sizeof(float))); +} + +int main(int argc, char** argv) { + if (argc < 3 || argc > 5) { + std::cerr << "Usage: nbody [trajectory.bin] [performance.log]\n"; + return 2; + } + try { + std::vector bodies; + Params params; + read_particles(argv[1], bodies); + read_params(argv[2], params); + const std::string output_path = argc >= 4 ? argv[3] : "trajectory.bin"; + const std::string log_path = argc >= 5 ? argv[4] : "performance.log"; + const int n = static_cast(bodies.size()); + const int records = params.steps / params.record_interval + 1; + const Diagnostics initial_diagnostics = compute_diagnostics(bodies, params.G, params.softening); + std::vector trajectory(static_cast(records) * n * 3); + std::vector host_positions(n); + std::vector host_precise_positions(n), host_velocities(n); + for (int i = 0; i < n; ++i) { + host_positions[i] = make_float4(bodies[i].x, bodies[i].y, bodies[i].z, bodies[i].mass); + host_precise_positions[i] = make_double4(bodies[i].x, bodies[i].y, bodies[i].z, bodies[i].mass); + host_velocities[i] = make_double4(bodies[i].vx, bodies[i].vy, bodies[i].vz, 0); + } + float4 *positions = nullptr, *acceleration = nullptr; + double4 *precise_positions = nullptr, *velocities = nullptr; + CUDA_CHECK(cudaMalloc(&positions, n * sizeof(float4))); + CUDA_CHECK(cudaMalloc(&velocities, n * sizeof(double4))); + CUDA_CHECK(cudaMalloc(&precise_positions, n * sizeof(double4))); + CUDA_CHECK(cudaMalloc(&acceleration, n * sizeof(float4))); + CUDA_CHECK(cudaMemcpy(positions, host_positions.data(), n * sizeof(float4), cudaMemcpyHostToDevice)); + CUDA_CHECK(cudaMemcpy(precise_positions, host_precise_positions.data(), n * sizeof(double4), cudaMemcpyHostToDevice)); + CUDA_CHECK(cudaMemcpy(velocities, host_velocities.data(), n * sizeof(double4), cudaMemcpyHostToDevice)); + const int blocks = (n + TILE_SIZE - 1) / TILE_SIZE; + double trajectory_copy_seconds = 0.0; + auto record = [&](int index) { + const auto copy_start = std::chrono::steady_clock::now(); + CUDA_CHECK(cudaMemcpy(host_positions.data(), positions, n * sizeof(float4), cudaMemcpyDeviceToHost)); + for (int i = 0; i < n; ++i) { + trajectory[(static_cast(i) * records + index) * 3 + 0] = host_positions[i].x; + trajectory[(static_cast(i) * records + index) * 3 + 1] = host_positions[i].y; + trajectory[(static_cast(i) * records + index) * 3 + 2] = host_positions[i].z; + } + trajectory_copy_seconds += std::chrono::duration(std::chrono::steady_clock::now() - copy_start).count(); + }; + record(0); + CUDA_CHECK(cudaDeviceSynchronize()); + cudaEvent_t gpu_start, gpu_stop; + CUDA_CHECK(cudaEventCreate(&gpu_start)); + CUDA_CHECK(cudaEventCreate(&gpu_stop)); + CUDA_CHECK(cudaEventRecord(gpu_start)); + const auto start = std::chrono::steady_clock::now(); + int record_index = 1; + if (params.integrator == "leapfrog") { + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + CUDA_CHECK(cudaGetLastError()); + kick_kernel<<>>(velocities, acceleration, n, 0.5f * params.dt); + CUDA_CHECK(cudaGetLastError()); + } + for (int step = 1; step <= params.steps; ++step) { + if (params.integrator == "euler") { + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + euler_kernel<<>>(positions, precise_positions, velocities, acceleration, n, params.dt); + } else { + drift_kernel<<>>(positions, precise_positions, velocities, n, params.dt); + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + const float kick_dt = (step == params.steps) ? 0.5f * params.dt : params.dt; + kick_kernel<<>>(velocities, acceleration, n, kick_dt); + } + CUDA_CHECK(cudaGetLastError()); + if (step % params.record_interval == 0) record(record_index++); + } + CUDA_CHECK(cudaDeviceSynchronize()); + CUDA_CHECK(cudaEventRecord(gpu_stop)); + CUDA_CHECK(cudaEventSynchronize(gpu_stop)); + float gpu_milliseconds = 0.0f; + CUDA_CHECK(cudaEventElapsedTime(&gpu_milliseconds, gpu_start, gpu_stop)); + CUDA_CHECK(cudaMemcpy(host_positions.data(), positions, n * sizeof(float4), cudaMemcpyDeviceToHost)); + CUDA_CHECK(cudaMemcpy(host_velocities.data(), velocities, n * sizeof(double4), cudaMemcpyDeviceToHost)); + std::vector final_bodies(n); + for (int i = 0; i < n; ++i) { + final_bodies[i] = {host_positions[i].x, host_positions[i].y, host_positions[i].z, + static_cast(host_velocities[i].x), static_cast(host_velocities[i].y), static_cast(host_velocities[i].z), + host_positions[i].w}; + } + const Diagnostics final_diagnostics = compute_diagnostics(final_bodies, params.G, params.softening); + const auto io_start = std::chrono::steady_clock::now(); + write_trajectory(output_path, n, records, trajectory); + const double io_seconds = std::chrono::duration(std::chrono::steady_clock::now() - io_start).count(); + const double seconds = std::chrono::duration(std::chrono::steady_clock::now() - start).count(); + const double interactions = static_cast(n) * n * params.steps; + const double simulation_seconds = gpu_milliseconds / 1000.0; + const double gpu_rate = interactions / simulation_seconds; + int cpu_particles = 0, cpu_steps = 0; + const double cpu_rate = benchmark_cpu_force(bodies, params, cpu_particles, cpu_steps); + const double initial_momentum = std::sqrt(initial_diagnostics.px * initial_diagnostics.px + + initial_diagnostics.py * initial_diagnostics.py + + initial_diagnostics.pz * initial_diagnostics.pz); + const double delta_px = final_diagnostics.px - initial_diagnostics.px; + const double delta_py = final_diagnostics.py - initial_diagnostics.py; + const double delta_pz = final_diagnostics.pz - initial_diagnostics.pz; + const double momentum_error = std::sqrt(delta_px * delta_px + delta_py * delta_py + delta_pz * delta_pz) / + std::max(initial_diagnostics.momentum_scale, 1.0e-30); + const double energy_error = std::abs(final_diagnostics.energy - initial_diagnostics.energy) / + std::max(std::abs(initial_diagnostics.energy), 1.0e-30); + size_t free_memory = 0, total_memory = 0; + CUDA_CHECK(cudaMemGetInfo(&free_memory, &total_memory)); + cudaDeviceProp device{}; + CUDA_CHECK(cudaGetDeviceProperties(&device, 0)); + std::ostringstream report; + report << std::fixed << std::setprecision(6) + << "device=" << device.name << "\n" + << "particles=" << n << "\nsteps=" << params.steps << "\nrecords=" << records << "\n" + << "integrator=" << params.integrator << "\ndt=" << params.dt << "\n" + << "gpu_simulation_sec=" << simulation_seconds << "\n" + << "gpu_kernel_compute_sec=" << simulation_seconds << "\n" + << "host_trajectory_copy_and_record_sec=" << trajectory_copy_seconds << "\n" + << "wall_total_sec=" << seconds << "\ntrajectory_io_sec=" << io_seconds << "\n" + << "average_step_ms=" << (gpu_milliseconds / std::max(params.steps, 1)) << "\n" + << "particle_steps_per_sec=" << (simulation_seconds > 0 ? n * params.steps / simulation_seconds : 0) << "\n" + << "interactions_per_sec=" << gpu_rate << "\n" + << "cpu_benchmark_particles=" << cpu_particles << "\ncpu_benchmark_steps=" << cpu_steps << "\n" + << "cpu_interactions_per_sec=" << cpu_rate << "\n" + << "estimated_gpu_vs_cpu_speedup=" << (cpu_rate > 0 ? gpu_rate / cpu_rate : 0) << "\n" + << "integration_accumulator=float64\nforce_precision=float32\ntrajectory_precision=float32\n" + << "device_array_bytes=" << static_cast(n) * (2 * sizeof(float4) + 2 * sizeof(double4)) << "\n" + << "gpu_memory_used_bytes=" << (total_memory - free_memory) << "\n" + << "initial_momentum_norm=" << initial_momentum << "\n" + << "relative_momentum_error=" << momentum_error << "\n" + << "initial_energy=" << initial_diagnostics.energy << "\nfinal_energy=" << final_diagnostics.energy << "\n" + << "relative_energy_error=" << energy_error << "\n" + << "energy_diagnostic=" << (initial_diagnostics.sampled_energy ? "sampled" : "exact") << "\n" + << "energy_pairs_evaluated=" << initial_diagnostics.energy_pairs << "\n" + << "trajectory_layout=particle-major [P,R,xyz]\n"; + std::ofstream log(log_path); + if (!log) throw std::runtime_error("cannot create performance log: " + log_path); + log << report.str(); + std::cout << report.str() << "trajectory_file=" << output_path << "\nperformance_log=" << log_path << "\n"; + CUDA_CHECK(cudaEventDestroy(gpu_start)); + CUDA_CHECK(cudaEventDestroy(gpu_stop)); + cudaFree(positions); cudaFree(precise_positions); cudaFree(velocities); cudaFree(acceleration); + } catch (const std::exception& error) { + std::cerr << "Error: " << error.what() << '\n'; + return 1; + } + return 0; +} diff --git a/08_nbody/lihaokun-2026/nbody.maca b/08_nbody/lihaokun-2026/nbody.maca new file mode 100644 index 00000000..b9d1a50b --- /dev/null +++ b/08_nbody/lihaokun-2026/nbody.maca @@ -0,0 +1,436 @@ +// Native MetaX MACA port of nbody.cu. Build with mxcc; no cu-bridge required. +// Force accumulation: float32. Position/velocity integration: float64. +// Input CLI and particle-major float32 BIN layout match the CUDA executable. +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#define MACA_CHECK(call) \ + do { \ + mcError_t error__ = (call); \ + if (error__ != mcSuccess) { \ + std::ostringstream message__; \ + message__ << "MACA error at " << __FILE__ << ":" << __LINE__ \ + << ": " << mcGetErrorString(error__); \ + throw std::runtime_error(message__.str()); \ + } \ + } while (false) + +#ifndef NBODY_TILE_SIZE +#define NBODY_TILE_SIZE 256 +#endif +constexpr int TILE_SIZE = NBODY_TILE_SIZE; +static_assert(TILE_SIZE == 128 || TILE_SIZE == 256, "NBODY_TILE_SIZE must be 128 or 256"); +static_assert(sizeof(float4) == 16 && sizeof(double4) == 32, "unexpected MACA vector layout"); + +// Own each allocation so exceptions also release the previously allocated buffers. +template +class DeviceBuffer { +public: + explicit DeviceBuffer(size_t count) { + MACA_CHECK(mcMalloc(reinterpret_cast(&pointer_), count * sizeof(T))); + } + ~DeviceBuffer() { if (pointer_) mcFree(pointer_); } + DeviceBuffer(const DeviceBuffer&) = delete; + DeviceBuffer& operator=(const DeviceBuffer&) = delete; + T* get() const { return pointer_; } +private: + T* pointer_ = nullptr; +}; + +struct Params { + float dt = 1.0e-3f; + int steps = 1000; + int record_interval = 100; + float G = 1.0f; + float softening = 1.0e-4f; + std::string integrator = "leapfrog"; +}; + +struct Body { + float x, y, z, vx, vy, vz, mass; +}; + +struct Diagnostics { + double energy = 0.0; + double px = 0.0, py = 0.0, pz = 0.0; + double momentum_scale = 0.0; + bool sampled_energy = false; + std::uint64_t energy_pairs = 0; +}; + +static Diagnostics compute_diagnostics(const std::vector& bodies, float gravitational_constant, + float softening) { + Diagnostics result; + for (const Body& body : bodies) { + const double speed_squared = static_cast(body.vx) * body.vx + + static_cast(body.vy) * body.vy + + static_cast(body.vz) * body.vz; + result.energy += 0.5 * body.mass * speed_squared; + result.px += static_cast(body.mass) * body.vx; + result.py += static_cast(body.mass) * body.vy; + result.pz += static_cast(body.mass) * body.vz; + result.momentum_scale += std::abs(static_cast(body.mass)) * std::sqrt(speed_squared); + } + + const std::uint64_t n = bodies.size(); + const std::uint64_t total_pairs = n * (n - 1) / 2; + constexpr std::uint64_t MAX_ENERGY_PAIRS = 8'000'000; + double potential_sum = 0.0; + if (total_pairs <= MAX_ENERGY_PAIRS) { + result.energy_pairs = total_pairs; + for (std::uint64_t i = 0; i < n; ++i) { + for (std::uint64_t j = i + 1; j < n; ++j) { + const double dx = static_cast(bodies[j].x) - bodies[i].x; + const double dy = static_cast(bodies[j].y) - bodies[i].y; + const double dz = static_cast(bodies[j].z) - bodies[i].z; + const double distance = std::sqrt(dx * dx + dy * dy + dz * dz + + static_cast(softening) * softening); + potential_sum -= gravitational_constant * bodies[i].mass * bodies[j].mass / distance; + } + } + } else { + result.sampled_energy = true; + result.energy_pairs = MAX_ENERGY_PAIRS; + std::uint64_t state = 0x9e3779b97f4a7c15ULL; + for (std::uint64_t sample = 0; sample < MAX_ENERGY_PAIRS; ++sample) { + state ^= state >> 12; state ^= state << 25; state ^= state >> 27; + const std::uint64_t i = (state * 0x2545F4914F6CDD1DULL) % n; + state ^= state >> 12; state ^= state << 25; state ^= state >> 27; + std::uint64_t j = (state * 0x2545F4914F6CDD1DULL) % (n - 1); + if (j >= i) ++j; + const double dx = static_cast(bodies[j].x) - bodies[i].x; + const double dy = static_cast(bodies[j].y) - bodies[i].y; + const double dz = static_cast(bodies[j].z) - bodies[i].z; + const double distance = std::sqrt(dx * dx + dy * dy + dz * dz + + static_cast(softening) * softening); + potential_sum -= gravitational_constant * bodies[i].mass * bodies[j].mass / distance; + } + potential_sum *= static_cast(total_pairs) / MAX_ENERGY_PAIRS; + } + result.energy += potential_sum; + return result; +} + +static double benchmark_cpu_force(const std::vector& input, const Params& params, + int& benchmark_particles, int& benchmark_steps) { + benchmark_particles = std::min(static_cast(input.size()), 1024); + const std::uint64_t interactions_per_step = static_cast(benchmark_particles) * benchmark_particles; + benchmark_steps = std::max(1, std::min(100, static_cast(20'000'000 / std::max(1, interactions_per_step)))); + std::vector acceleration(benchmark_particles); + volatile float checksum = 0.0f; + const auto start = std::chrono::steady_clock::now(); + for (int step = 0; step < benchmark_steps; ++step) { + for (int i = 0; i < benchmark_particles; ++i) { + float ax = 0, ay = 0, az = 0; + for (int j = 0; j < benchmark_particles; ++j) { + const float dx = input[j].x - input[i].x; + const float dy = input[j].y - input[i].y; + const float dz = input[j].z - input[i].z; + const float r2 = dx * dx + dy * dy + dz * dz + params.softening * params.softening; + const float inv_r = 1.0f / std::sqrt(r2); + const float scale = params.G * input[j].mass * inv_r * inv_r * inv_r; + ax += dx * scale; ay += dy * scale; az += dz * scale; + } + acceleration[i] = make_float4(ax, ay, az, 0); + } + checksum += acceleration[step % benchmark_particles].x; + } + const double seconds = std::chrono::duration(std::chrono::steady_clock::now() - start).count(); + if (!std::isfinite(checksum)) throw std::runtime_error("CPU benchmark produced non-finite values"); + return interactions_per_step * static_cast(benchmark_steps) / seconds; +} + +__global__ void acceleration_kernel(const float4* positions, float4* acceleration, + int n, float gravitational_constant, + float softening_squared) { + __shared__ float4 tile[TILE_SIZE]; + const int i = blockIdx.x * blockDim.x + threadIdx.x; + const bool active = i < n; + const float4 pi = active ? positions[i] : make_float4(0, 0, 0, 0); + float ax = 0.0f, ay = 0.0f, az = 0.0f; + for (int base = 0; base < n; base += TILE_SIZE) { + const int j = base + threadIdx.x; + tile[threadIdx.x] = (j < n) ? positions[j] : make_float4(0, 0, 0, 0); + __syncthreads(); + const int count = (n - base < TILE_SIZE) ? n - base : TILE_SIZE; + if (active) { + for (int k = 0; k < count; ++k) { + const float4 pj = tile[k]; + const float dx = pj.x - pi.x; + const float dy = pj.y - pi.y; + const float dz = pj.z - pi.z; + const float distance_squared = dx * dx + dy * dy + dz * dz + softening_squared; + const float inv_distance = rsqrtf(distance_squared); + const float scale = gravitational_constant * pj.w * inv_distance * inv_distance * inv_distance; + ax += dx * scale; + ay += dy * scale; + az += dz * scale; + } + } + __syncthreads(); + } + if (active) acceleration[i] = make_float4(ax, ay, az, 0.0f); +} + +__global__ void euler_kernel(float4* positions, double4* precise_positions, double4* velocities, + const float4* acceleration, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + double4 p = precise_positions[i], v = velocities[i]; + const float4 a = acceleration[i]; + v.x += static_cast(a.x) * dt; + v.y += static_cast(a.y) * dt; + v.z += static_cast(a.z) * dt; + p.x += v.x * dt; p.y += v.y * dt; p.z += v.z * dt; + velocities[i] = v; precise_positions[i] = p; + positions[i] = make_float4(static_cast(p.x), static_cast(p.y), + static_cast(p.z), positions[i].w); +} + +__global__ void kick_kernel(double4* velocities, const float4* acceleration, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + velocities[i].x += static_cast(acceleration[i].x) * dt; + velocities[i].y += static_cast(acceleration[i].y) * dt; + velocities[i].z += static_cast(acceleration[i].z) * dt; +} + +__global__ void drift_kernel(float4* positions, double4* precise_positions, + const double4* velocities, int n, float dt) { + const int i = blockIdx.x * blockDim.x + threadIdx.x; + if (i >= n) return; + // Preserve sub-ULP drifts at large coordinates instead of rounding every step. + double4 p = precise_positions[i]; + p.x += velocities[i].x * dt; + p.y += velocities[i].y * dt; + p.z += velocities[i].z * dt; + precise_positions[i] = p; + positions[i] = make_float4(static_cast(p.x), static_cast(p.y), + static_cast(p.z), positions[i].w); +} + +static void read_particles(const std::string& path, std::vector& bodies) { + std::ifstream input(path); + if (!input) throw std::runtime_error("cannot open particle file: " + path); + Body body{}; + while (input >> body.x >> body.y >> body.z >> body.vx >> body.vy >> body.vz >> body.mass) { + if (!std::isfinite(body.x) || !std::isfinite(body.y) || !std::isfinite(body.z) || + !std::isfinite(body.vx) || !std::isfinite(body.vy) || !std::isfinite(body.vz) || + !std::isfinite(body.mass) || body.mass <= 0) + throw std::runtime_error("particles must be finite with positive mass: " + path); + bodies.push_back(body); + } + if (bodies.empty() || !input.eof()) throw std::runtime_error("invalid particle file: " + path); +} + +static void read_params(const std::string& path, Params& p) { + std::ifstream input(path); + if (!input) throw std::runtime_error("cannot open parameter file: " + path); + std::string line; + while (std::getline(input, line)) { + const auto comment = line.find('#'); + if (comment != std::string::npos) line.resize(comment); + std::istringstream row(line); + std::string key, equals, value; + if (!(row >> key)) continue; + if (key == "dt") row >> equals >> p.dt; + else if (key == "num_steps") row >> equals >> p.steps; + else if (key == "record_interval") row >> equals >> p.record_interval; + else if (key == "G") row >> equals >> p.G; + else if (key == "softening") row >> equals >> p.softening; + else if (key == "integrator") row >> equals >> p.integrator; + } + if (!std::isfinite(p.dt) || !std::isfinite(p.G) || !std::isfinite(p.softening) || + p.dt <= 0 || p.G < 0 || p.steps < 0 || p.record_interval <= 0 || p.softening <= 0 || + !std::isfinite(p.softening * p.softening) || p.softening * p.softening == 0) + throw std::runtime_error("invalid simulation parameters: require finite dt>0, G>=0, " + "steps>=0, record_interval>0 and finite positive softening^2"); + if (p.integrator != "euler" && p.integrator != "leapfrog") + throw std::runtime_error("integrator must be euler or leapfrog"); +} + +static void write_trajectory(const std::string& path, int n, int records, + const std::vector& trajectory) { + std::ofstream output(path, std::ios::binary); + if (!output) throw std::runtime_error("cannot create output file: " + path); + const std::int32_t particle_count = n, record_count = records; + output.write(reinterpret_cast(&particle_count), sizeof(particle_count)); + output.write(reinterpret_cast(&record_count), sizeof(record_count)); + output.write(reinterpret_cast(trajectory.data()), + static_cast(trajectory.size() * sizeof(float))); + output.flush(); + if (!output) throw std::runtime_error("failed to write complete trajectory: " + path); +} + +int main(int argc, char** argv) { + if (argc < 3 || argc > 5) { + std::cerr << "Usage: nbody_maca [trajectory.bin] [performance.log]\n"; + return 2; + } + try { + std::vector bodies; + Params params; + read_particles(argv[1], bodies); + read_params(argv[2], params); + // A positive representable softening^2 also makes the evaluated self term finite. + // Reserve int32 space for the initial record and block rounding arithmetic. + if (bodies.size() > static_cast(std::numeric_limits::max() - TILE_SIZE) || + params.steps == std::numeric_limits::max()) + throw std::runtime_error("particle/step count exceeds supported int32 range"); + const std::string output_path = argc >= 4 ? argv[3] : "trajectory.bin"; + const std::string log_path = argc >= 5 ? argv[4] : "performance.log"; + const int n = static_cast(bodies.size()); + const int records = params.steps / params.record_interval + 1; + if (static_cast(n) > std::numeric_limits::max() / + static_cast(records) / 3 / sizeof(float)) + throw std::runtime_error("trajectory size overflows address space"); + const Diagnostics initial_diagnostics = compute_diagnostics(bodies, params.G, params.softening); + std::vector trajectory(static_cast(records) * n * 3); + std::vector host_positions(n); + std::vector host_precise_positions(n), host_velocities(n); + for (int i = 0; i < n; ++i) { + host_positions[i] = make_float4(bodies[i].x, bodies[i].y, bodies[i].z, bodies[i].mass); + host_precise_positions[i] = make_double4(bodies[i].x, bodies[i].y, bodies[i].z, bodies[i].mass); + host_velocities[i] = make_double4(bodies[i].vx, bodies[i].vy, bodies[i].vz, 0); + } + DeviceBuffer position_buffer(n), acceleration_buffer(n); + DeviceBuffer precise_position_buffer(n), velocity_buffer(n); + float4* positions = position_buffer.get(); + float4* acceleration = acceleration_buffer.get(); + double4* precise_positions = precise_position_buffer.get(); + double4* velocities = velocity_buffer.get(); + MACA_CHECK(mcMemcpy(positions, host_positions.data(), n * sizeof(float4), mcMemcpyHostToDevice)); + MACA_CHECK(mcMemcpy(precise_positions, host_precise_positions.data(), n * sizeof(double4), mcMemcpyHostToDevice)); + MACA_CHECK(mcMemcpy(velocities, host_velocities.data(), n * sizeof(double4), mcMemcpyHostToDevice)); + const int blocks = (n + TILE_SIZE - 1) / TILE_SIZE; + double trajectory_copy_seconds = 0.0; + auto record = [&](int index) { + const auto copy_start = std::chrono::steady_clock::now(); + MACA_CHECK(mcMemcpy(host_positions.data(), positions, n * sizeof(float4), mcMemcpyDeviceToHost)); + for (int i = 0; i < n; ++i) { + trajectory[(static_cast(i) * records + index) * 3 + 0] = host_positions[i].x; + trajectory[(static_cast(i) * records + index) * 3 + 1] = host_positions[i].y; + trajectory[(static_cast(i) * records + index) * 3 + 2] = host_positions[i].z; + } + trajectory_copy_seconds += std::chrono::duration(std::chrono::steady_clock::now() - copy_start).count(); + }; + record(0); + MACA_CHECK(mcDeviceSynchronize()); + // Host wall timing includes kernel launches, synchronization, D2H and CPU recording. + // It is intentionally NOT labelled as pure kernel execution time. + const auto start = std::chrono::steady_clock::now(); + int record_index = 1; + if (params.integrator == "leapfrog") { + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + MACA_CHECK(mcGetLastError()); + kick_kernel<<>>(velocities, acceleration, n, 0.5f * params.dt); + MACA_CHECK(mcGetLastError()); + } + for (int step = 1; step <= params.steps; ++step) { + if (params.integrator == "euler") { + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + MACA_CHECK(mcGetLastError()); + euler_kernel<<>>(positions, precise_positions, velocities, acceleration, n, params.dt); + } else { + drift_kernel<<>>(positions, precise_positions, velocities, n, params.dt); + MACA_CHECK(mcGetLastError()); + acceleration_kernel<<>>(positions, acceleration, n, params.G, params.softening * params.softening); + MACA_CHECK(mcGetLastError()); + const float kick_dt = (step == params.steps) ? 0.5f * params.dt : params.dt; + kick_kernel<<>>(velocities, acceleration, n, kick_dt); + } + MACA_CHECK(mcGetLastError()); + if (step % params.record_interval == 0) record(record_index++); + } + MACA_CHECK(mcDeviceSynchronize()); + const double simulation_seconds = + std::chrono::duration(std::chrono::steady_clock::now() - start).count(); + MACA_CHECK(mcMemcpy(host_positions.data(), positions, n * sizeof(float4), mcMemcpyDeviceToHost)); + MACA_CHECK(mcMemcpy(host_velocities.data(), velocities, n * sizeof(double4), mcMemcpyDeviceToHost)); + std::vector final_bodies(n); + for (int i = 0; i < n; ++i) { + final_bodies[i] = {host_positions[i].x, host_positions[i].y, host_positions[i].z, + static_cast(host_velocities[i].x), static_cast(host_velocities[i].y), static_cast(host_velocities[i].z), + host_positions[i].w}; + } + const Diagnostics final_diagnostics = compute_diagnostics(final_bodies, params.G, params.softening); + const auto io_start = std::chrono::steady_clock::now(); + write_trajectory(output_path, n, records, trajectory); + const double io_seconds = std::chrono::duration(std::chrono::steady_clock::now() - io_start).count(); + const double seconds = std::chrono::duration(std::chrono::steady_clock::now() - start).count(); + const std::uint64_t force_evaluations = static_cast(params.steps) + + (params.integrator == "leapfrog" ? 1 : 0); + const double interactions = static_cast(n) * n * force_evaluations; + const double gpu_rate = simulation_seconds > 0 ? interactions / simulation_seconds : 0; + int cpu_particles = 0, cpu_steps = 0; + const double cpu_rate = benchmark_cpu_force(bodies, params, cpu_particles, cpu_steps); + const double initial_momentum = std::sqrt(initial_diagnostics.px * initial_diagnostics.px + + initial_diagnostics.py * initial_diagnostics.py + + initial_diagnostics.pz * initial_diagnostics.pz); + const double delta_px = final_diagnostics.px - initial_diagnostics.px; + const double delta_py = final_diagnostics.py - initial_diagnostics.py; + const double delta_pz = final_diagnostics.pz - initial_diagnostics.pz; + const double momentum_error = std::sqrt(delta_px * delta_px + delta_py * delta_py + delta_pz * delta_pz) / + std::max(initial_diagnostics.momentum_scale, 1.0e-30); + const double energy_error = std::abs(final_diagnostics.energy - initial_diagnostics.energy) / + std::max(std::abs(initial_diagnostics.energy), 1.0e-30); + size_t free_memory = 0, total_memory = 0; + MACA_CHECK(mcMemGetInfo(&free_memory, &total_memory)); + std::ostringstream report; + report << std::fixed << std::setprecision(6) + << "backend=maca\n" + << "device=MetaX GPU (see mx-smi for model)\n" + << "tile_size=" << TILE_SIZE << "\n" + << "particles=" << n << "\nsteps=" << params.steps << "\nrecords=" << records << "\n" + << "integrator=" << params.integrator << "\ndt=" << params.dt << "\n" + << "gpu_simulation_sec=" << simulation_seconds << "\n" + << "simulation_timing_scope=host wall; kernels+D2H+CPU record; excludes initial record and final diagnostics\n" + << "force_evaluations=" << force_evaluations << "\n" + << "force_interactions=" << interactions << "\n" + << "estimated_force_flops=" << 20.0 * interactions << "\n" + << "estimated_force_flops_convention=20 per interaction, including one rsqrt; not instruction count\n" + << "effective_simulation_gflops=" << (20.0 * gpu_rate / 1e9) << "\n" + << "host_trajectory_copy_and_record_sec=" << trajectory_copy_seconds << "\n" + << "wall_total_sec=" << seconds << "\ntrajectory_io_sec=" << io_seconds << "\n" + << "average_step_ms=" << (simulation_seconds * 1000.0 / std::max(params.steps, 1)) << "\n" + << "particle_steps_per_sec=" << (simulation_seconds > 0 ? static_cast(n) * params.steps / simulation_seconds : 0) << "\n" + << "interactions_per_sec=" << gpu_rate << "\n" + << "cpu_benchmark_particles=" << cpu_particles << "\ncpu_benchmark_steps=" << cpu_steps << "\n" + << "cpu_interactions_per_sec=" << cpu_rate << "\n" + << "estimated_gpu_vs_cpu_speedup=" << (cpu_rate > 0 ? gpu_rate / cpu_rate : 0) << "\n" + << "integration_accumulator=float64\nforce_precision=float32\ntrajectory_precision=float32\n" + << "device_array_bytes=" << static_cast(n) * (2 * sizeof(float4) + 2 * sizeof(double4)) << "\n" + << "device_wide_used_bytes_snapshot=" << (total_memory - free_memory) << "\n" + << "host_trajectory_bytes=" << static_cast(trajectory.size()) * sizeof(float) << "\n" + << "shared_bytes_per_block=" << TILE_SIZE * sizeof(float4) << "\n" + << "initial_momentum_norm=" << initial_momentum << "\n" + << "relative_momentum_error=" << momentum_error << "\n" + << "initial_energy=" << initial_diagnostics.energy << "\nfinal_energy=" << final_diagnostics.energy << "\n" + << "relative_energy_error=" << energy_error << "\n" + << "energy_diagnostic=" << (initial_diagnostics.sampled_energy ? "sampled" : "exact") << "\n" + << "energy_pairs_evaluated=" << initial_diagnostics.energy_pairs << "\n" + << "trajectory_layout=particle-major [P,R,xyz]\n"; + std::ofstream log(log_path); + if (!log) throw std::runtime_error("cannot create performance log: " + log_path); + log << report.str(); + log.flush(); + if (!log) throw std::runtime_error("failed to write performance log: " + log_path); + std::cout << report.str() << "trajectory_file=" << output_path << "\nperformance_log=" << log_path << "\n"; + } catch (const std::exception& error) { + std::cerr << "Error: " << error.what() << '\n'; + return 1; + } + return 0; +} diff --git a/08_nbody/lihaokun-2026/nbody_maca b/08_nbody/lihaokun-2026/nbody_maca new file mode 100755 index 00000000..8c35d254 Binary files /dev/null and b/08_nbody/lihaokun-2026/nbody_maca differ diff --git a/08_nbody/lihaokun-2026/raster_animation.py b/08_nbody/lihaokun-2026/raster_animation.py new file mode 100644 index 00000000..30df015c --- /dev/null +++ b/08_nbody/lihaokun-2026/raster_animation.py @@ -0,0 +1,373 @@ +"""CUDA/NumPy rasterization inside a real Matplotlib FuncAnimation. + +The camera is an orthographic projection, not an interactive Axes3D. All bodies +contribute to the image; only the explicitly labelled trajectory overlay is +sampled. Matplotlib composition and libx264 encoding still run on the CPU. +""" +import time + +import numpy as np + + +BACKGROUND = np.array([10, 16, 27], dtype=np.float32) / 255 + + +def frame_indices(records, stride=1, max_frames=None): + """Temporal subsampling always includes both endpoints (also for previews).""" + frames = np.arange(0, records, stride, dtype=int) + if frames[-1] != records - 1: + frames = np.append(frames, records - 1) + if max_frames is not None and len(frames) > max_frames: + frames = frames[np.linspace(0, len(frames) - 1, max_frames, dtype=int)] + return frames + + +def projection_matrix(dimension="3d", azimuth=35, elevation=25, z_scale=1): + if dimension == "2d": + return np.array([[1, 0], [0, 1], [0, 0]], dtype=np.float32) + a, e = np.deg2rad([azimuth, elevation]) + return np.array([[np.cos(a), -np.sin(e) * np.sin(a)], + [-np.sin(a), -np.sin(e) * np.cos(a)], + [0, np.cos(e) * z_scale]], dtype=np.float32) + + +def camera_limits(trajectory, matrix, width, height, radius=None, center=None): + # Bounded sample, fixed camera, equal physical scale in both image axes. + fs = np.linspace(0, len(trajectory) - 1, min(33, len(trajectory)), dtype=int) + ps = np.linspace(0, trajectory.shape[1] - 1, + min(8192, trajectory.shape[1]), dtype=int) + sample = np.asarray(trajectory[np.ix_(fs, ps)]) @ matrix + finite = sample[np.isfinite(sample).all(axis=-1)] + if not len(finite): + raise ValueError("camera sample contains no finite coordinates") + low, high = np.percentile(finite, [0.2, 99.8], axis=0) + middle = (low + high) / 2 if center is None else np.asarray(center) @ matrix + half = max(float(np.max(np.abs(np.stack((low, high)) - middle))), 1e-6) * 1.08 + if radius is not None: + half = radius + aspect = width / height + half_xy = np.array([half * max(1, aspect), half * max(1, 1 / aspect)]) + return np.asarray(middle - half_xy, dtype=np.float32), np.asarray(middle + half_xy, dtype=np.float32) + + +class Rasterizer: + """One bilinear scatter per frame, without per-pixel Python/CUDA launches. + + Four accumulators hold RGB sums and particle density. Log tone mapping uses + a fixed exposure, preserving changes in density rather than normalizing each + frame independently. Out-of-view/non-finite positions go to a sentinel bin. + """ + def __init__(self, matrix, low, high, colors, width, height, exposure=1.5, + device=None): + self.width, self.height = width, height + self.exposure = exposure + self.device = device + self.torch = None + self.matrix, self.low, self.high = matrix, low, high + self.scale = np.array([width, height], dtype=np.float32) / (high - low) + self.colors = np.column_stack((colors, np.ones(len(colors)))).astype(np.float32) + self.offsets = np.array([[0, 0], [1, 0], [0, 1], [1, 1]], dtype=np.int64) + if device is not None: + import torch + self.torch = torch + for name in ("matrix", "low", "high", "scale", "colors", "offsets"): + setattr(self, name, torch.as_tensor(getattr(self, name), device=device)) + self.background = torch.as_tensor(BACKGROUND, device=device) + self.canvas = torch.zeros((width * height + 1, 4), device=device) + else: + self.canvas = np.zeros((width * height + 1, 4), dtype=np.float32) + + def render(self, points): + if self.torch is not None: + return self._torch_render(points) + projected = points @ self.matrix + valid = np.isfinite(projected).all(axis=1) + valid &= ((projected >= self.low) & (projected < self.high)).all(axis=1) + xy = np.where(valid[:, None], (projected - self.low) * self.scale - 0.5, 0) + base = np.floor(xy).astype(np.int64) + frac = xy - base + cells = base[:, None, :] + self.offsets + weights = np.prod(np.where(self.offsets[None] == 1, + frac[:, None], 1 - frac[:, None]), axis=-1) + inside = valid[:, None] & (cells[:, :, 0] >= 0) & (cells[:, :, 0] < self.width) + inside &= (cells[:, :, 1] >= 0) & (cells[:, :, 1] < self.height) + indices = np.where(inside, cells[:, :, 1] * self.width + cells[:, :, 0], + self.width * self.height) + self.canvas.fill(0) + values = (weights[:, :, None] * self.colors[:, None, :]).reshape(-1, 4) + np.add.at(self.canvas, indices.ravel(), values) + sums = self.canvas[:-1] + density = sums[:, 3:4] + hue = sums[:, :3] / np.maximum(density, 1e-8) + alpha = np.clip(np.log1p(density) / np.log1p(self.exposure), 0, 1) + rgb = BACKGROUND + alpha * (hue - BACKGROUND) + return np.rint(rgb.reshape(self.height, self.width, 3) * 255).astype(np.uint8) + + def _torch_render(self, points): + t = self.torch + points = t.as_tensor(points, dtype=t.float32, device=self.device) + projected = points @ self.matrix + valid = t.isfinite(projected).all(dim=1) + valid &= ((projected >= self.low) & (projected < self.high)).all(dim=1) + xy = t.where(valid[:, None], (projected - self.low) * self.scale - 0.5, 0) + base = t.floor(xy).long() + frac = xy - base + cells = base[:, None, :] + self.offsets + weights = t.where(self.offsets[None] == 1, + frac[:, None], 1 - frac[:, None]).prod(dim=-1) + inside = valid[:, None] & (cells[:, :, 0] >= 0) & (cells[:, :, 0] < self.width) + inside &= (cells[:, :, 1] >= 0) & (cells[:, :, 1] < self.height) + indices = t.where(inside, cells[:, :, 1] * self.width + cells[:, :, 0], + self.width * self.height) + self.canvas.zero_() + values = (weights[:, :, None] * self.colors[:, None, :]).reshape(-1, 4) + self.canvas.index_add_(0, indices.reshape(-1), values) + sums = self.canvas[:-1] + density = sums[:, 3:4] + hue = sums[:, :3] / density.clamp_min(1e-8) + alpha = (t.log1p(density) / np.log1p(self.exposure)).clamp(0, 1) + rgb = self.background + alpha * (hue - self.background) + return (rgb.reshape(self.height, self.width, 3) * 255).round().byte().cpu().numpy() + + +class FrameBuffer: + """Bounded contiguous record batches instead of duplicating a whole BIN.""" + def __init__(self, trajectory, batch_frames, device=None): + self.trajectory, self.batch_frames, self.device = trajectory, batch_frames, device + self.start, self.stop = -1, -1 + self.buffer = None + self.load_seconds = 0.0 + + def get(self, frame): + if not self.start <= frame < self.stop: + start = time.perf_counter() + self.start = frame + self.stop = min(frame + self.batch_frames, len(self.trajectory)) + # copy=True is essential: memmaps are read-only and may already be contiguous. + host = np.array(self.trajectory[self.start:self.stop], dtype=np.float32, + order="C", copy=True) + self.buffer = None + if self.device is not None: + import torch + self.buffer = torch.from_numpy(host).to(self.device) + if str(self.device).startswith("cuda"): + torch.cuda.synchronize(self.device) + else: + self.buffer = host + self.load_seconds += time.perf_counter() - start + return self.buffer[frame - self.start] + + +def select_tracers(trajectory, matrix, low, high, count): + """Fixed IDs, spread over initial radius; never switch identities per frame.""" + first = np.asarray(trajectory[0]) @ matrix + valid = np.isfinite(first).all(axis=1) & ((first >= low) & (first <= high)).all(axis=1) + ids = np.flatnonzero(valid) + if not len(ids) or count == 0: + return np.empty(0, dtype=int) + order = np.argsort(np.linalg.norm(first[ids] - (low + high) / 2, axis=1)) + return ids[order[np.linspace(0, len(ids) - 1, min(count, len(ids)), dtype=int)]] + + +def focus_path(trajectory, particle=None): + """Select real motion and return world coordinates relative to the start. + + An explicit ID is never sampled. Auto selects the largest sampled excursion + (up to 8192 IDs/33 records), not a claim about the globally fastest body. + """ + if particle is None: + ids = np.linspace(0, trajectory.shape[1] - 1, min(8192, trajectory.shape[1]), dtype=int) + frames = np.linspace(0, len(trajectory) - 1, min(33, len(trajectory)), dtype=int) + sample = np.asarray(trajectory[np.ix_(frames, ids)], dtype=np.float64) + distances = np.linalg.norm(sample - sample[0], axis=-1) + score = np.where(np.isfinite(distances), distances, -np.inf).max(axis=0) + particle = int(ids[np.argmax(score)]) + if not 0 <= particle < trajectory.shape[1]: + raise ValueError(f"focus particle ID must be in [0, {trajectory.shape[1] - 1}]") + path = np.array(trajectory[:, particle], dtype=np.float64, copy=True) + if not np.isfinite(path).all(): + raise ValueError("focus path has non-finite coordinates; validate the trajectory") + return particle, path - path[0] + + +def animate_raster(trajectory, object_types, styles, args, frames, backend): + import matplotlib.pyplot as plt + from matplotlib.animation import FuncAnimation, FFMpegWriter, PillowWriter + from matplotlib.collections import LineCollection + from matplotlib.lines import Line2D + + setup_start = time.perf_counter() + device = args.device if backend == "gpu" else None + gpu_name = "none" + if device is not None: + import torch + gpu_name = torch.cuda.get_device_name(device) + # Rendering resolution is independent of the number of particles. + rw, rh = args.raster_width, args.raster_height + matrix = projection_matrix(args.dimension, args.azimuth, args.elevation, args.z_scale) + low, high = camera_limits(trajectory, matrix, rw, rh, args.view_radius, args.center) + colors = np.array([styles[k][0] for k in object_types], dtype=np.float32) / 255 + renderer = Rasterizer(matrix, low, high, colors, rw, rh, args.exposure, device) + buffer = FrameBuffer(trajectory, args.batch_frames, device) + trace_ids = select_tracers(trajectory, matrix, low, high, + args.trail_particles if args.trail else 0) + # Small CPU overlay only. Every body still goes through the GPU rasterizer. + highlighted = np.flatnonzero(object_types == "black_hole")[:32] + overlay_ids = np.unique(np.concatenate((trace_ids, highlighted))) + trace_local = np.searchsorted(overlay_ids, trace_ids) + special_local = np.searchsorted(overlay_ids, highlighted) + history = np.asarray(trajectory[:, overlay_ids]) @ matrix + focus_id, relative_path = focus_path(trajectory, args.focus_particle) + relative_projection = relative_path @ matrix + sample_ids = np.linspace(0, trajectory.shape[1] - 1, + min(8192, trajectory.shape[1]), dtype=int) + sample_frames = np.linspace(0, len(trajectory) - 1, min(33, len(trajectory)), dtype=int) + motion = np.asarray(trajectory[np.ix_(sample_frames, sample_ids)]) @ matrix + motion_pixels = np.linalg.norm((motion - motion[0]) * np.array([rw, rh]) / (high - low), axis=-1) + finite_motion = np.max(motion_pixels, axis=0) + finite_motion = finite_motion[np.isfinite(finite_motion)] + median_motion = float(np.median(finite_motion)) if len(finite_motion) else float("nan") + sampled_visible_fraction = float(np.mean(np.isfinite(motion).all(axis=-1) & + ((motion >= low) & (motion < high)).all(axis=-1))) + print(f"Backend: {backend}; GPU: {gpu_name}; FuncAnimation: yes", flush=True) + print(f"Sampled median maximum motion: {median_motion:.3f} raster pixels", flush=True) + if median_motion < 2: + print("Motion is below 2 pixels for most sampled bodies. Use --view-radius with --center " + "for a local view, or the orbit demo; playback FPS cannot create missing motion.", flush=True) + + fig = plt.figure(figsize=(args.width / args.dpi, args.height / args.dpi), + dpi=args.dpi, facecolor="#0a101b") + if args.layout == "detail": + ax = fig.add_axes([0.065, 0.18, 0.53, 0.65]) + detail = fig.add_axes([0.69, 0.55, 0.27, 0.29]) + series = fig.add_axes([0.69, 0.20, 0.27, 0.20]) + else: + ax = fig.add_axes([0.08, 0.18, 0.88, 0.65]) + ax.set_facecolor("#0a101b") + ax.tick_params(colors="#aebcd0", labelsize=8) + for spine in ax.spines.values(): + spine.set_color("#35445b") + label_x, label_y = ("x", "y") if args.dimension == "2d" else ("projected u", "projected v") + ax.set(xlim=(low[0], high[0]), ylim=(low[1], high[1]), aspect="equal", + xlabel=f"{label_x} (input length units)", ylabel=f"{label_y} (input length units)") + ax.xaxis.label.set_color("#aebcd0") + ax.yaxis.label.set_color("#aebcd0") + image = ax.imshow(np.zeros((rh, rw, 3), dtype=np.uint8), origin="lower", + extent=(low[0], high[0], low[1], high[1]), interpolation="nearest") + trace_colors = plt.get_cmap("cool")(np.linspace(0.15, 0.85, max(1, len(trace_ids)))) + lines = LineCollection([], colors=trace_colors, linewidths=1.0, alpha=0.8) + ax.add_collection(lines) + markers = ax.scatter([], [], s=10, color="#f7e8ff", edgecolors="none") + specials = ax.scatter([], [], s=65, color="#fff578", edgecolors="#ffffff", linewidths=0.5) + focus_world = np.asarray(trajectory[:, focus_id], dtype=np.float64) @ matrix + focus_marker = ax.scatter([], [], s=100, facecolors="none", edgecolors="#ffe089", linewidths=1.5) + title = ax.set_title("", color="white", fontsize=10, pad=10) + mode = "XY" if args.dimension == "2d" else "3D orthographic" + fig.text(0.065, 0.94, f"N-BODY / {mode} / {trajectory.shape[1]:,} bodies", color="white", fontsize=15, weight="bold") + fig.text(0.065, 0.89, f"Fixed camera | {len(trace_ids)} tracked paths | z scale {args.z_scale:g} | " + f"sampled median excursion {median_motion:.2f} px", color="#a5b9d1", fontsize=9) + legend = [Line2D([], [], marker="o", linestyle="none", markersize=4, + color=np.array(color) / 255, label=kind.replace("_", " ")) + for kind, (color, _) in styles.items() if np.any(object_types == kind)] + fig.legend(handles=legend, loc="lower center", bbox_to_anchor=(0.5, 0.04), + ncol=len(legend), frameon=False, labelcolor="#aebcd0", fontsize=8) + artists = (image, lines, markers, specials, focus_marker, title) + if args.layout == "detail": + for panel in (detail, series): + panel.set_facecolor("#0d1828") + panel.tick_params(colors="#aebcd0", labelsize=7) + panel.grid(alpha=0.12) + for spine in panel.spines.values(): + spine.set_color("#35445b") + panel.xaxis.label.set_color("#aebcd0") + panel.yaxis.label.set_color("#aebcd0") + bounds = np.array([relative_projection.min(axis=0), relative_projection.max(axis=0)]) + middle = bounds.mean(axis=0) + half = max(float(np.ptp(bounds, axis=0).max()) * .65, 1e-9) + detail.set(xlim=(middle[0] - half, middle[0] + half), ylim=(middle[1] - half, middle[1] + half), + aspect="equal", xlabel="u - u(initial)", ylabel="v - v(initial)") + detail.plot(relative_projection[:, 0], relative_projection[:, 1], color="#56677e", lw=1.1) + detail.plot([0], [0], "o", color="#8faecc", ms=4) + focus_line, = detail.plot([], [], color="#6fe1c7", lw=1.8) + focus_dot, = detail.plot([], [], "o", color="#ffe089", ms=7) + detail_title = detail.set_title(f"Particle #{focus_id} | real local path", color="white", fontsize=9) + record_times = np.arange(len(trajectory)) * (args.record_dt or 1) + for k, (color, label) in enumerate(zip(("#ef8993", "#6bd9a5", "#83b4ff"), ("dx", "dy", "dz"))): + series.plot(record_times, relative_path[:, k], color=color, lw=1, label=label) + series.set(xlabel=args.time_unit if args.record_dt else "record", ylabel="displacement (input units)") + series.legend(loc="upper left", ncol=3, frameon=False, labelcolor="#aebcd0", fontsize=7) + cursor = series.axvline(0, color="#ffe089", lw=1) + fig.text(.69, .46, "Local axes zoom into real displacement.\nNo artificial motion scaling.", color="#a5b9d1", fontsize=8) + artists += (focus_line, focus_dot, detail_title, cursor) + render_seconds = 0.0 + rendered = 0 + frame_times = [] + setup_seconds = time.perf_counter() - setup_start + save_start = time.perf_counter() + + def init(): + return artists + + def update(frame): + nonlocal render_seconds, rendered + begin = time.perf_counter() + points = buffer.get(int(frame)) + render_start = time.perf_counter() + rgb = renderer.render(points) # .cpu() synchronizes the GPU before timing ends. + render_seconds += time.perf_counter() - render_start + image.set_data(rgb) + start = max(0, int(frame) - args.trail) + lines.set_segments(history[start:int(frame) + 1, trace_local].transpose(1, 0, 2)) + markers.set_offsets(history[frame, trace_local]) + specials.set_offsets(history[frame, special_local]) + focus_marker.set_offsets(focus_world[frame:frame + 1]) + time_label = (f" | t={frame * args.record_dt:.6g} {args.time_unit}" + if args.record_dt is not None else "") + title.set_text(f"record {frame + 1}/{len(trajectory)}{time_label}") + if args.layout == "detail": + focus_line.set_data(relative_projection[:frame + 1, 0], relative_projection[:frame + 1, 1]) + focus_dot.set_data([relative_projection[frame, 0]], [relative_projection[frame, 1]]) + detail_title.set_text(f"Particle #{focus_id} | distance {np.linalg.norm(relative_path[frame]):.5g}") + cursor.set_xdata([record_times[frame], record_times[frame]]) + frame_times.append(time.perf_counter() - begin) + rendered += 1 + if rendered == 1 or rendered % 25 == 0 or rendered == len(frames): + elapsed = time.perf_counter() - save_start + print(f"Rendered {rendered}/{len(frames)} | elapsed {elapsed:.1f}s", flush=True) + return artists + + animation = FuncAnimation(fig, update, frames=frames, init_func=init, + interval=1000 / args.fps, blit=False, + cache_frame_data=False) + encoder = "none" + try: + if args.output: + if args.output.lower().endswith(".gif"): + writer = PillowWriter(fps=args.fps) + encoder = "pillow" + else: + # A800 has no NVENC. CPU is the portable and explicit default. + encoder = "h264_nvenc" if args.video_encoder == "nvenc" else "libx264" + extra = (["-preset", "p4", "-cq", "21"] if encoder == "h264_nvenc" else + ["-preset", args.encoder_preset, "-crf", "20"]) + writer = FFMpegWriter(fps=args.fps, codec=encoder, + extra_args=extra + ["-pix_fmt", "yuv420p", "-movflags", "+faststart"]) + animation.save(args.output, writer=writer, dpi=args.dpi) + else: + plt.show() + finally: + plt.close(fig) + save_seconds = time.perf_counter() - save_start + return { + "gpu_name": gpu_name, "video_encoder": encoder, "func_animation": True, + "raster_width": rw, "raster_height": rh, "trail_particles": len(trace_ids), + "sampled_median_max_motion_pixels": median_motion, + "sampled_visible_fraction": sampled_visible_fraction, + "layout": args.layout, "focus_particle_id": focus_id, + "setup_sec": setup_seconds, "frame_load_and_upload_sec": buffer.load_seconds, + "raster_and_readback_sec": render_seconds, + "matplotlib_encode_other_sec": max(0, save_seconds - render_seconds - buffer.load_seconds), + "animation_save_sec": save_seconds, + "update_p50_ms": float(np.median(frame_times) * 1000) if frame_times else 0, + "camera_low": low.tolist(), "camera_high": high.tolist(), + } diff --git a/08_nbody/lihaokun-2026/requirements.txt b/08_nbody/lihaokun-2026/requirements.txt new file mode 100644 index 00000000..73f805ba --- /dev/null +++ b/08_nbody/lihaokun-2026/requirements.txt @@ -0,0 +1,5 @@ +# Core numerical and visualization dependencies +numpy==1.26.4 +matplotlib==3.8.4 +Pillow==10.4.0 +torch==2.6.0 diff --git a/08_nbody/lihaokun-2026/results/benchmark_4096.bin b/08_nbody/lihaokun-2026/results/benchmark_4096.bin new file mode 100644 index 00000000..fdfcc1cc Binary files /dev/null and b/08_nbody/lihaokun-2026/results/benchmark_4096.bin differ diff --git a/08_nbody/lihaokun-2026/results/benchmark_4096.performance.log b/08_nbody/lihaokun-2026/results/benchmark_4096.performance.log new file mode 100644 index 00000000..d8680acd --- /dev/null +++ b/08_nbody/lihaokun-2026/results/benchmark_4096.performance.log @@ -0,0 +1,31 @@ +device=NVIDIA A800 80GB PCIe +particles=4096 +steps=1000 +records=1001 +integrator=leapfrog +dt=0.010000 +gpu_simulation_sec=0.608790 +gpu_kernel_compute_sec=0.608790 +host_trajectory_copy_and_record_sec=0.599919 +wall_total_sec=1.767204 +trajectory_io_sec=0.464193 +average_step_ms=0.608790 +particle_steps_per_sec=6728098.220869 +interactions_per_sec=27558290312.677895 +cpu_benchmark_particles=1024 +cpu_benchmark_steps=19 +cpu_interactions_per_sec=21658369.689322 +estimated_gpu_vs_cpu_speedup=1272.408344 +integration_accumulator=float64 +force_precision=float32 +trajectory_precision=float32 +device_array_bytes=393216 +gpu_memory_used_bytes=22821732352 +initial_momentum_norm=165.896238 +relative_momentum_error=0.000000 +initial_energy=-3072.694097 +final_energy=-3073.582306 +relative_energy_error=0.000289 +energy_diagnostic=sampled +energy_pairs_evaluated=8000000 +trajectory_layout=particle-major [P,R,xyz] diff --git a/08_nbody/lihaokun-2026/results/benchmark_65536.performance.log b/08_nbody/lihaokun-2026/results/benchmark_65536.performance.log new file mode 100644 index 00000000..545c3ab5 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/benchmark_65536.performance.log @@ -0,0 +1,31 @@ +device=NVIDIA A800 80GB PCIe +particles=65536 +steps=1000 +records=1001 +integrator=leapfrog +dt=0.010000 +gpu_simulation_sec=20.765668 +gpu_kernel_compute_sec=20.765668 +host_trajectory_copy_and_record_sec=20.744478 +wall_total_sec=28.437988 +trajectory_io_sec=6.932191 +average_step_ms=20.765669 +particle_steps_per_sec=3155978.420662 +interactions_per_sec=206830201776.482391 +cpu_benchmark_particles=1024 +cpu_benchmark_steps=19 +cpu_interactions_per_sec=17923115.677471 +estimated_gpu_vs_cpu_speedup=11539.857550 +integration_accumulator=float64 +force_precision=float32 +trajectory_precision=float32 +device_array_bytes=6291456 +gpu_memory_used_bytes=22825926656 +initial_momentum_norm=3770.964670 +relative_momentum_error=0.000000 +initial_energy=124676.046757 +final_energy=124618.128887 +relative_energy_error=0.000465 +energy_diagnostic=sampled +energy_pairs_evaluated=8000000 +trajectory_layout=particle-major [P,R,xyz] diff --git a/08_nbody/lihaokun-2026/results/mx/benchmark_4096.bin b/08_nbody/lihaokun-2026/results/mx/benchmark_4096.bin new file mode 100644 index 00000000..44292eb6 Binary files /dev/null and b/08_nbody/lihaokun-2026/results/mx/benchmark_4096.bin differ diff --git a/08_nbody/lihaokun-2026/results/mx/benchmark_4096.performance.log b/08_nbody/lihaokun-2026/results/mx/benchmark_4096.performance.log new file mode 100644 index 00000000..c57194f0 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/mx/benchmark_4096.performance.log @@ -0,0 +1,40 @@ +backend=maca +device=MetaX GPU (see mx-smi for model) +tile_size=256 +particles=4096 +steps=1000 +records=1001 +integrator=leapfrog +dt=0.010000 +gpu_simulation_sec=0.611687 +simulation_timing_scope=host wall; kernels+D2H+CPU record; excludes initial record and final diagnostics +force_evaluations=1001 +force_interactions=16793993216.000000 +estimated_force_flops=335879864320.000000 +estimated_force_flops_convention=20 per interaction, including one rsqrt; not instruction count +effective_simulation_gflops=549.104137 +host_trajectory_copy_and_record_sec=0.598650 +wall_total_sec=0.712157 +trajectory_io_sec=0.030535 +average_step_ms=0.611687 +particle_steps_per_sec=6696235.122236 +interactions_per_sec=27455206839.738583 +cpu_benchmark_particles=1024 +cpu_benchmark_steps=19 +cpu_interactions_per_sec=243829330.884565 +estimated_gpu_vs_cpu_speedup=112.600099 +integration_accumulator=float64 +force_precision=float32 +trajectory_precision=float32 +device_array_bytes=393216 +device_wide_used_bytes_snapshot=182452224 +host_trajectory_bytes=49201152 +shared_bytes_per_block=4096 +initial_momentum_norm=165.896238 +relative_momentum_error=0.000000 +initial_energy=-3072.694097 +final_energy=-3073.582306 +relative_energy_error=0.000289 +energy_diagnostic=sampled +energy_pairs_evaluated=8000000 +trajectory_layout=particle-major [P,R,xyz] diff --git a/08_nbody/lihaokun-2026/results/mx/verified_4096/benchmark_4096.validation.json b/08_nbody/lihaokun-2026/results/mx/verified_4096/benchmark_4096.validation.json new file mode 100644 index 00000000..eb3269e7 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/mx/verified_4096/benchmark_4096.validation.json @@ -0,0 +1,89 @@ +{ + "schema": "nbody-validation-v1", + "trajectory": "results/mx/benchmark_4096.bin", + "trajectory_sha256": "465a9d4b326e4f195be5099b9e4c940e5557d54318be854ab6d6e45436e9ba4a", + "particles_sha256": "c427c98b92b181cd874658302b105eaa566e92b4820ac87f9c1d97a87ff38f62", + "params_sha256": "88473f42ac289562503a60a97a68a1182cbccdfd24ccb828913cf12db39f85ec", + "params": { + "dt": 0.009999999776482582, + "num_steps": 1000, + "record_interval": 1, + "G": 0.1559000015258789, + "softening": 1.0, + "integrator": "leapfrog" + }, + "particles": 4096, + "records": 1001, + "checks": [ + { + "name": "shape", + "passed": true, + "expected": [ + 1001, + 4096, + 3 + ], + "actual": [ + 1001, + 4096, + 3 + ] + }, + { + "name": "initial_coordinates", + "passed": true + }, + { + "name": "finite_coordinates_all_records", + "passed": true + }, + { + "name": "center_of_mass_linear_motion", + "passed": true, + "max_error": 6.4176279230219e-08, + "tolerance": 0.10004512578953915 + }, + { + "name": "cpu_trajectory_replay", + "passed": true, + "max_error": 0.0020007947077374426, + "worst_error_to_tolerance_ratio": 0.11873797731467697, + "worst_record": 4, + "worst_particle_id": 716 + } + ], + "motion": { + "max_displacement": 300.1467201257428, + "median_max_displacement": 46.71337699261125, + "fully_static_transitions": 0, + "fastest_particle_id": 947 + }, + "scope": "sampled CPU replay conditioned on recorded source positions", + "reference_particle_ids": [ + 2243, + 947, + 855, + 3472, + 979, + 999, + 2100, + 2939, + 716, + 2057, + 245, + 2649, + 1780, + 183, + 2242, + 2571 + ], + "atol": 2e-05, + "motion_rtol": 0.002, + "limitations": [ + "Unselected particle trajectories are not independently replayed.", + "Recorded source fields may share errors; this is not a full all-body correctness proof.", + "Global exact energy is not checked at this scale." + ], + "status": "PASS_SAMPLED", + "elapsed_sec": 3.096098787849769 +} diff --git "a/08_nbody/lihaokun-2026/results/verified_4096/4096\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" "b/08_nbody/lihaokun-2026/results/verified_4096/4096\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" new file mode 100644 index 00000000..4731a15f Binary files /dev/null and "b/08_nbody/lihaokun-2026/results/verified_4096/4096\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" differ diff --git a/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096.validation.json b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096.validation.json new file mode 100644 index 00000000..00392511 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096.validation.json @@ -0,0 +1,89 @@ +{ + "schema": "nbody-validation-v1", + "trajectory": "results/benchmark_4096.bin", + "trajectory_sha256": "a74043c82bde0d77965c20956f1ade97a0b9746f6471adae8ed911b391b8c312", + "particles_sha256": "c427c98b92b181cd874658302b105eaa566e92b4820ac87f9c1d97a87ff38f62", + "params_sha256": "88473f42ac289562503a60a97a68a1182cbccdfd24ccb828913cf12db39f85ec", + "params": { + "dt": 0.009999999776482582, + "num_steps": 1000, + "record_interval": 1, + "G": 0.1559000015258789, + "softening": 1.0, + "integrator": "leapfrog" + }, + "particles": 4096, + "records": 1001, + "checks": [ + { + "name": "shape", + "passed": true, + "expected": [ + 1001, + 4096, + 3 + ], + "actual": [ + 1001, + 4096, + 3 + ] + }, + { + "name": "initial_coordinates", + "passed": true + }, + { + "name": "finite_coordinates_all_records", + "passed": true + }, + { + "name": "center_of_mass_linear_motion", + "passed": true, + "max_error": 6.417627862224374e-08, + "tolerance": 0.10004512578953915 + }, + { + "name": "cpu_trajectory_replay", + "passed": true, + "max_error": 0.0020007947077374426, + "worst_error_to_tolerance_ratio": 0.11873797731467697, + "worst_record": 4, + "worst_particle_id": 716 + } + ], + "motion": { + "max_displacement": 300.1467201257428, + "median_max_displacement": 46.71337699261125, + "fully_static_transitions": 0, + "fastest_particle_id": 947 + }, + "scope": "sampled CPU replay conditioned on recorded source positions", + "reference_particle_ids": [ + 2243, + 947, + 855, + 3472, + 979, + 999, + 2100, + 2939, + 716, + 2057, + 245, + 2649, + 1780, + 183, + 2242, + 2571 + ], + "atol": 2e-05, + "motion_rtol": 0.002, + "limitations": [ + "Unselected particle trajectories are not independently replayed.", + "Recorded source fields may share errors; this is not a full all-body correctness proof.", + "Global exact energy is not checked at this scale." + ], + "status": "PASS_SAMPLED", + "elapsed_sec": 3.8100901750003686 +} diff --git a/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.mp4 b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.mp4 new file mode 100644 index 00000000..8fae6fdb Binary files /dev/null and b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.mp4 differ diff --git a/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.visualization.log b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.visualization.log new file mode 100644 index 00000000..8d5cf077 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/verified_4096/benchmark_4096_detail.visualization.log @@ -0,0 +1,40 @@ +trajectory=results/benchmark_4096.bin +output=results/verified_4096/benchmark_4096_detail.mp4 +backend=gpu +dimension=3d +trajectory_frames=1001 +output_frames=1001 +frame_stride=1 +max_frames=None +particles=4096 +objects_metadata=data/benchmark_4096_objects.txt +fps=25.000000 +width=1280 +height=720 +z_scale=1.000000 +trail_records=160 +batch_frames=32 +encoder_preset=veryfast +exposure=1.500000 +output_size_bytes=674343 +load_metadata_sec=0.007502 +gpu_name=NVIDIA A800 80GB PCIe +video_encoder=libx264 +func_animation=True +raster_width=960 +raster_height=540 +trail_particles=32 +sampled_median_max_motion_pixels=0.183665 +sampled_visible_fraction=1.000000 +layout=detail +focus_particle_id=947 +setup_sec=1.094401 +frame_load_and_upload_sec=0.104876 +raster_and_readback_sec=3.822620 +matplotlib_encode_other_sec=385.392397 +animation_save_sec=389.319893 +update_p50_ms=4.068306 +camera_low=[-93519.7421875, -52764.68359375] +camera_high=[93972.0703125, 52699.4609375] +visualization_total_sec=398.604975 +export_frames_per_sec=2.511258 diff --git "a/08_nbody/lihaokun-2026/results/verified_65536/65536\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" "b/08_nbody/lihaokun-2026/results/verified_65536/65536\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" new file mode 100644 index 00000000..0dcdaa99 Binary files /dev/null and "b/08_nbody/lihaokun-2026/results/verified_65536/65536\347\262\222\345\255\220-\345\215\225\347\262\222\345\255\220\350\275\250\350\277\271.mp4" differ diff --git a/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536.validation.json b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536.validation.json new file mode 100644 index 00000000..be994163 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536.validation.json @@ -0,0 +1,89 @@ +{ + "schema": "nbody-validation-v1", + "trajectory": "results/benchmark_65536.bin", + "trajectory_sha256": "49d2ad7a576bf48aa718e0d5c1cf7dfe354169f3d045704e53b7e88c1fa95c27", + "particles_sha256": "f78cb49e8f347b4ecf237be18867cb8c66a19221908766b5b5b23fa5028df082", + "params_sha256": "88473f42ac289562503a60a97a68a1182cbccdfd24ccb828913cf12db39f85ec", + "params": { + "dt": 0.009999999776482582, + "num_steps": 1000, + "record_interval": 1, + "G": 0.1559000015258789, + "softening": 1.0, + "integrator": "leapfrog" + }, + "particles": 65536, + "records": 1001, + "checks": [ + { + "name": "shape", + "passed": true, + "expected": [ + 1001, + 65536, + 3 + ], + "actual": [ + 1001, + 65536, + 3 + ] + }, + { + "name": "initial_coordinates", + "passed": true + }, + { + "name": "finite_coordinates_all_records", + "passed": true + }, + { + "name": "center_of_mass_linear_motion", + "passed": true, + "max_error": 3.6709263034214816e-07, + "tolerance": 0.10003276763312906 + }, + { + "name": "cpu_trajectory_replay", + "passed": true, + "max_error": 0.002141819251168579, + "worst_error_to_tolerance_ratio": 0.11528542930684188, + "worst_record": 2, + "worst_particle_id": 20950 + } + ], + "motion": { + "max_displacement": 816.2990429269948, + "median_max_displacement": 46.62690451213277, + "fully_static_transitions": 0, + "fastest_particle_id": 7030 + }, + "scope": "sampled CPU replay conditioned on recorded source positions", + "reference_particle_ids": [ + 34595, + 7030, + 20950, + 55961, + 3720, + 2077, + 60657, + 24427, + 50929, + 42978, + 1861, + 1110, + 20641, + 41765, + 139, + 64515 + ], + "atol": 2e-05, + "motion_rtol": 0.002, + "limitations": [ + "Unselected particle trajectories are not independently replayed.", + "Recorded source fields may share errors; this is not a full all-body correctness proof.", + "Global exact energy is not checked at this scale." + ], + "status": "PASS_SAMPLED", + "elapsed_sec": 71.22680022899294 +} diff --git a/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.mp4 b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.mp4 new file mode 100644 index 00000000..ed8bfccc Binary files /dev/null and b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.mp4 differ diff --git a/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.visualization.log b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.visualization.log new file mode 100644 index 00000000..dda97944 --- /dev/null +++ b/08_nbody/lihaokun-2026/results/verified_65536/benchmark_65536_detail.visualization.log @@ -0,0 +1,40 @@ +trajectory=results/benchmark_65536.bin +output=results/verified_65536/benchmark_4096_detail.mp4 +backend=gpu +dimension=3d +trajectory_frames=1001 +output_frames=1001 +frame_stride=1 +max_frames=None +particles=65536 +objects_metadata=data/benchmark_65536_objects.txt +fps=25.000000 +width=1280 +height=720 +z_scale=1.000000 +trail_records=160 +batch_frames=32 +encoder_preset=veryfast +exposure=1.500000 +output_size_bytes=762849 +load_metadata_sec=0.064369 +gpu_name=NVIDIA A800 80GB PCIe +video_encoder=libx264 +func_animation=True +raster_width=960 +raster_height=540 +trail_particles=32 +sampled_median_max_motion_pixels=0.182725 +sampled_visible_fraction=1.000000 +layout=detail +focus_particle_id=10297 +setup_sec=0.756483 +frame_load_and_upload_sec=6.302805 +raster_and_readback_sec=3.997578 +matplotlib_encode_other_sec=382.543924 +animation_save_sec=392.844306 +update_p50_ms=4.431344 +camera_low=[-94004.046875, -52938.703125] +camera_high=[93827.9609375, 52716.8046875] +visualization_total_sec=401.834636 +export_frames_per_sec=2.491074 diff --git a/08_nbody/lihaokun-2026/test/test_physics_validation.py b/08_nbody/lihaokun-2026/test/test_physics_validation.py new file mode 100644 index 00000000..1da1788f --- /dev/null +++ b/08_nbody/lihaokun-2026/test/test_physics_validation.py @@ -0,0 +1,98 @@ +"""CPU-only tests of validation failure detection, analytic motion and focus geometry.""" +import contextlib +import io +import json +from pathlib import Path +import struct +import tempfile +import unittest + +import numpy as np + +from raster_animation import focus_path +from verify_trajectory import audit, force64, replay + + +def write_bin(path, trajectory): + with open(path, "wb") as output: + output.write(struct.pack("&2; exit 2;; esac +out="results/verified_${count}" +stem="benchmark_${count}" +mkdir -p "$out" +"$executable" "data/${stem}_particles.txt" "data/${stem}_params.txt" \ + "$out/${stem}.bin" "$out/${stem}.performance.log" +python3 verify_trajectory.py "$out/${stem}.bin" \ + --particles "data/${stem}_particles.txt" --params "data/${stem}_params.txt" \ + --sample-particles 16 --report "$out/${stem}.validation.json" +# Export only after the physical checks above succeed. The report itself +# distinguishes PASS_SAMPLED from full independent verification. +python3 visualize.py "$out/${stem}.bin" --backend gpu --dimension 3d --layout detail \ + --objects "data/${stem}_objects.txt" --fps 25 --trail 160 --trail-particles 32 \ + --record-dt .01 --time-unit Myr --video-encoder cpu --z-scale 1 \ + --output "$out/${stem}_detail.mp4" +printf 'Viewer: trajectory_viewer.html\nBIN: %s\nReport: %s\n' \ + "$out/${stem}.bin" "$out/${stem}.validation.json" diff --git a/08_nbody/lihaokun-2026/test/test_visualization.py b/08_nbody/lihaokun-2026/test/test_visualization.py new file mode 100644 index 00000000..5d9236f0 --- /dev/null +++ b/08_nbody/lihaokun-2026/test/test_visualization.py @@ -0,0 +1,165 @@ +"""CPU regressions plus optional real CUDA parity and animation export tests. + +python3 test_visualization.py # skips unavailable dependencies +python3 test_visualization.py --require-cuda # A800: missing CUDA is a failure +""" +import importlib.util +import os +from pathlib import Path +import struct +import subprocess +import sys +import tempfile +import unittest + +import numpy as np + +from raster_animation import (BACKGROUND, FrameBuffer, Rasterizer, camera_limits, + frame_indices, projection_matrix, select_tracers) +from visualize import load_object_types, load_trajectory +from data.generate_orbit_demo import generate + + +def write_bin(path, values): + with open(path, "wb") as output: + output.write(struct.pack(" 0)) + + def test_projection_camera_and_tracers(self): + xy = projection_matrix("2d", z_scale=35) + np.testing.assert_array_equal(np.array([[1, 2, 999]]) @ xy, [[1, 2]]) + np.testing.assert_allclose(projection_matrix("3d").T @ projection_matrix("3d"), np.eye(2), atol=1e-6) + data = np.random.default_rng(7).normal(size=(4, 25, 3)).astype(np.float32) + low, high = camera_limits(data, xy, 160, 90, radius=2, center=[0, 0, 0]) + np.testing.assert_allclose((high - low) / [160, 90], [4 / 90, 4 / 90]) + ids = select_tracers(data, xy, low, high, 8) + self.assertEqual(len(np.unique(ids)), 8) + + def test_demo_count_mass_momentum(self): + data = generate(4096) + self.assertEqual(data.shape, (4096, 7)) + self.assertTrue(np.isfinite(data).all()) + self.assertAlmostEqual(data[:, 6].sum(), 1.001) + np.testing.assert_allclose((data[:, 3:6] * data[:, 6:7]).sum(axis=0), 0, atol=1e-17) + + +class RasterTests(unittest.TestCase): + def make_renderer(self, colors, device=None): + return Rasterizer(projection_matrix("2d"), np.array([-1, -1], dtype=np.float32), + np.array([1, 1], dtype=np.float32), colors, 64, 48, device=device) + + def test_all_65536_particles_contribute(self): + points = np.zeros((65536, 3), dtype=np.float32) + renderer = self.make_renderer(np.tile([1, 0.5, 0.2], (len(points), 1))) + output = renderer.render(points) + self.assertAlmostEqual(float(renderer.canvas[:-1, 3].sum()), len(points)) + self.assertEqual(output.shape, (48, 64, 3)) + self.assertEqual(output.dtype, np.uint8) + self.assertTrue(np.any(output != np.rint(BACKGROUND * 255))) + + def test_invalid_and_offscreen_do_not_wrap(self): + points = np.array([[3, 0, 0], [np.nan, 0, 0], [1e30, -1e30, 0]], dtype=np.float32) + renderer = self.make_renderer(np.ones((3, 3))) + output = renderer.render(points) + self.assertEqual(renderer.canvas[:-1, 3].sum(), 0) + np.testing.assert_array_equal(output, np.broadcast_to(np.rint(BACKGROUND * 255).astype(np.uint8), output.shape)) + + @unittest.skipUnless(cuda_available(), "CUDA-enabled PyTorch unavailable") + def test_cuda_numpy_parity_and_chunk_upload(self): + import torch + rng = np.random.default_rng(9) + points = rng.uniform(-1.4, 1.4, (4096, 3)).astype(np.float32) + points[0] = np.nan + colors = rng.random((len(points), 3), dtype=np.float32) + cpu = self.make_renderer(colors) + gpu = self.make_renderer(colors, "cuda:0") + np.testing.assert_allclose(cpu.render(points).astype(float), gpu.render(points).astype(float), atol=1) + data = np.stack((points, points * 0.5, points * 0.3)) + buffer = FrameBuffer(data, 2, "cuda:0") + self.assertTrue(buffer.get(0).is_cuda) + np.testing.assert_allclose(buffer.get(2).cpu().numpy(), data[2]) + self.assertLessEqual(len(buffer.buffer), 2) + print("CUDA parity checked on", torch.cuda.get_device_name(0)) + + +@unittest.skipUnless(importlib.util.find_spec("matplotlib"), "Matplotlib unavailable") +class ExportTests(unittest.TestCase): + def test_funcanimation_export_all_cpu_modes(self): + from PIL import Image + with tempfile.TemporaryDirectory() as directory: + directory = Path(directory) + phase = np.linspace(0, np.pi, 7) + data = np.zeros((7, 2, 3), dtype=np.float32) + data[:, 0, 0], data[:, 0, 1] = np.cos(phase), np.sin(phase) + data[:, 1] = -data[:, 0] + write_bin(directory / "test.bin", data) + for backend, dimension in (("numpy", "2d"), ("numpy", "3d"), + ("matplotlib", "2d"), ("matplotlib", "3d")): + output = directory / f"{backend}_{dimension}.gif" + command = [sys.executable, str(Path(__file__).with_name("visualize.py")), + str(directory / "test.bin"), "--backend", backend, + "--dimension", dimension, "--output", str(output), + "--max-frames", "4", "--width", "640", "--height", "480", + "--raster-width", "128", "--raster-height", "96", "--fps", "10", "--trail", "4"] + subprocess.run(command, check=True, capture_output=True, + env={**os.environ, "MPLBACKEND": "Agg"}) + with Image.open(output) as image: + self.assertEqual(image.n_frames, 4) + self.assertEqual(image.size, (640, 480)) + image.seek(0) + first = np.asarray(image.convert("RGB")) + image.seek(3) + self.assertTrue(np.any(first != np.asarray(image.convert("RGB")))) + self.assertIn("func_animation=True", output.with_suffix(".visualization.log").read_text()) + + +if __name__ == "__main__": + if "--require-cuda" in sys.argv: + sys.argv.remove("--require-cuda") + if not cuda_available(): + raise SystemExit("FAIL: --require-cuda was requested but CUDA-enabled PyTorch is unavailable") + unittest.main(verbosity=2) diff --git a/08_nbody/lihaokun-2026/test_viewer_math.cjs b/08_nbody/lihaokun-2026/test_viewer_math.cjs new file mode 100644 index 00000000..b6be2812 --- /dev/null +++ b/08_nbody/lihaokun-2026/test_viewer_math.cjs @@ -0,0 +1,64 @@ +// Pure JS logic tests with DOM/WebGL stubs, NOT a browser or visual test. +const assert = require('node:assert/strict'); +const fs = require('node:fs'); +const vm = require('node:vm'); +const path = require('node:path'); +const {webcrypto} = require('node:crypto'); +const html = fs.readFileSync(path.join(__dirname, 'trajectory_viewer.html'), 'utf8'); +const code = html.match(/ + diff --git a/08_nbody/lihaokun-2026/validate_cuda.py b/08_nbody/lihaokun-2026/validate_cuda.py new file mode 100644 index 00000000..ee0e3adf --- /dev/null +++ b/08_nbody/lihaokun-2026/validate_cuda.py @@ -0,0 +1,93 @@ +"""Run the real CUDA executable against analytic and independent CPU references.""" +import argparse +import json +from pathlib import Path +import subprocess + +import numpy as np + +from verify_trajectory import audit, file_sha256 +from visualize import load_trajectory + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--executable", default="./nbody_a800") + parser.add_argument("--output-dir", type=Path, default=Path("results/cuda_validation")) + args = parser.parse_args() + executable = str(Path(args.executable).resolve()) + root = args.output_dir + root.mkdir(parents=True, exist_ok=True) + reports = [] + + def run(name, bodies, dt, steps, g=1, eps=.02, integrator="leapfrog"): + particle_file, parameter_file = root / f"{name}_particles.txt", root / f"{name}_params.txt" + np.savetxt(particle_file, bodies, fmt="%.12g") + parameter_file.write_text(f"dt = {dt}\nnum_steps = {steps}\nrecord_interval = 1\nG = {g}\nsoftening = {eps}\nintegrator = {integrator}\n") + trajectory_file = root / f"{name}.bin" + subprocess.run([executable, str(particle_file), str(parameter_file), str(trajectory_file), + str(root / f"{name}.performance.log")], check=True) + report = audit(trajectory_file, particle_file, parameter_file, atol=2e-5, motion_rtol=5e-4) + report["case"] = name + reports.append(report) + return trajectory_file, report + + # A float32 position accumulator loses these sub-ULP steps entirely. + ballistic = np.array([[50000, -30000, 1000, .001, -.002, .003, 1], + [-40000, 20000, -700, -.004, .001, -.002, 2]]) + for integrator in ("leapfrog", "euler"): + path, report = run(f"ballistic_{integrator}", ballistic, .01, 1000, g=0, integrator=integrator) + data = load_trajectory(path) + first = ballistic.astype(np.float32).astype(np.float64) + expected = first[None, :, :3] + np.arange(1001)[:, None, None] * float(np.float32(.01)) * first[None, :, 3:6] + # Binary output should agree with analytic positions to <= 2 storage ULPs. + tolerance = 2 * np.abs(np.spacing(expected.astype(np.float32))).astype(np.float64) + 1e-7 + passed = bool(np.all(np.abs(data.astype(np.float64) - expected) <= tolerance)) + report["checks"].append({"name": "analytic_ballistic_sub_ulp", "passed": passed}) + data._mmap.close() + + eps = .02 + omega = np.sqrt(2 / (1 + eps**2)**1.5) + circular = np.array([[-.5, 0, 0, 0, -.5 * omega, 0, 1], + [.5, 0, 0, 0, .5 * omega, 0, 1]]) + errors = [] + for label, dt, steps in (("coarse", .01, 1000), ("fine", .005, 2000)): + path, report = run(f"circular_{label}", circular, dt, steps, eps=eps) + data = load_trajectory(path) + times = np.arange(steps + 1) * float(np.float32(dt)) + analytic = np.column_stack((-.5 * np.cos(omega * times), -.5 * np.sin(omega * times), times * 0)) + error = float(np.linalg.norm(data[:, 0] - analytic, axis=1).max()) + radius_error = float(np.max(np.abs(np.linalg.norm(data[:, 0], axis=1) - .5))) + report["checks"].append({"name": "softened_circular_analytic", "passed": error < .002 and radius_error < .001, + "max_position_error": error, "max_radius_error": radius_error}) + span = report["energy_diagnostic"]["relative_span"] + report["checks"].append({"name": "circular_energy_from_dense_position_records", + "passed": span < 1e-3, "relative_span": span, + "limitation": "velocities reconstructed with centered differences"}) + errors.append(error) + data._mmap.close() + reports[-1]["checks"].append({"name": "second_order_convergence", "passed": errors[0] / max(errors[1], 1e-30) >= 2.5, + "coarse_over_fine_error": errors[0] / max(errors[1], 1e-30)}) + + # Unequal masses + 3D + partially occupied final shared-memory tile (257). + for count, integrator in ((17, "euler"), (257, "leapfrog")): + rng = np.random.default_rng(112 + count) + bodies = np.column_stack((rng.normal(size=(count, 3)), rng.normal(0, .08, (count, 3)), + rng.uniform(.5, 1.5, count) / count)) + run(f"random_{count}_{integrator}", bodies, .001, 100, eps=.1, integrator=integrator) + + for report in reports: + report["status"] = "PASS" if all(c["passed"] for c in report["checks"]) else "FAIL" + (root / f"{report['case']}.validation.json").write_text(json.dumps(report, indent=2, allow_nan=False)) + print(report["case"], report["status"]) + passed = all(r["status"] == "PASS" for r in reports) + summary = {"status": "PASS" if passed else "FAIL", "executable": executable, + "executable_sha256": file_sha256(executable), + "cases": [{"case": r["case"], "status": r["status"]} for r in reports], + "scope": "small-system analytic, convergence, ballistic and independent all-body CPU tests; not proof for arbitrary N"} + (root / "summary.json").write_text(json.dumps(summary, indent=2)) + raise SystemExit(0 if passed else 1) + + +if __name__ == "__main__": + main() diff --git a/08_nbody/lihaokun-2026/verify_trajectory.py b/08_nbody/lihaokun-2026/verify_trajectory.py new file mode 100644 index 00000000..32855bc3 --- /dev/null +++ b/08_nbody/lihaokun-2026/verify_trajectory.py @@ -0,0 +1,247 @@ +"""Independent float64 CPU checks of CUDA-generated position trajectories. + +Small systems: independent all-body velocity-Verlet/semi-implicit Euler replay. +Large systems: selected bodies replayed in the *recorded* all-body field, plus +global file/initial-state/COM checks. PASS_SAMPLED is deliberately not full proof. +Only NumPy is needed. A failed check exits nonzero and still writes its report. +""" +import argparse +import hashlib +import json +from pathlib import Path +import time + +import numpy as np + +from visualize import load_trajectory + + +def read_params(path): + values = {"dt": "1e-3", "num_steps": "1000", "record_interval": "100", + "G": "1", "softening": "1e-4", "integrator": "leapfrog"} + for line in Path(path).read_text().splitlines(): + line = line.split("#", 1)[0].strip() + if line: + key, value = line.split("=", 1) + values[key.strip()] = value.strip().strip('"\'') + for key in ("num_steps", "record_interval"): + values[key] = int(values[key]) + # Match parameters/initial data parsed as float32 by nbody.cu, then use + # independent float64 arithmetic in the reference calculation. + for key in ("dt", "G", "softening"): + values[key] = float(np.float32(values[key])) + if (not np.isfinite([values[k] for k in ("dt", "G", "softening")]).all() + or values["dt"] <= 0 or values["G"] < 0 or values["softening"] < 0 + or values["num_steps"] < 0 or values["record_interval"] < 1 + or values["integrator"] not in ("leapfrog", "euler")): + raise ValueError("invalid simulation parameters") + return values + + +def force64(targets, sources, masses, gravitational_constant, softening, ids): + """Direct CPU sum, float64 sqrt and accumulation, explicitly exclude self.""" + result = np.empty_like(targets, dtype=np.float64) + for start in range(0, len(targets), 16): + stop = min(start + 16, len(targets)) + delta = sources[None] - targets[start:stop, None] + r2 = np.einsum("ijk,ijk->ij", delta, delta) + softening**2 + r2[np.arange(stop - start), ids[start:stop]] = np.inf + scale = gravitational_constant * masses[None] / (r2 * np.sqrt(r2)) + result[start:stop] = np.einsum("ij,ijk->ik", scale, delta) + return result + + +def replay(initial, params, observed=None, ids=None): + """Yield reference positions at every recorded step, without CUDA/PyTorch.""" + if ids is None: + ids = np.arange(len(initial)) + masses = initial[:, 6] + position, velocity = initial[ids, :3].copy(), initial[ids, 3:6].copy() + dt, g, eps = (params[k] for k in ("dt", "G", "softening")) + if observed is not None and params["record_interval"] != 1: + raise ValueError("sampled replay requires record_interval=1; intermediate source fields are missing") + sources = initial[:, :3] + acceleration = force64(position, sources, masses, g, eps, ids) + yield 0, position.copy() + for step in range(1, params["num_steps"] + 1): + if params["integrator"] == "leapfrog": + position += dt * velocity + 0.5 * dt**2 * acceleration + sources = np.asarray(observed[step], dtype=np.float64) if observed is not None else position + following = force64(position, sources, masses, g, eps, ids) + velocity += 0.5 * dt * (acceleration + following) + acceleration = following + else: + velocity += dt * acceleration + position += dt * velocity + sources = np.asarray(observed[step], dtype=np.float64) if observed is not None else position + acceleration = force64(position, sources, masses, g, eps, ids) + if step % params["record_interval"] == 0: + yield step // params["record_interval"], position.copy() + + +def file_sha256(path): + digest = hashlib.sha256() + with open(path, "rb") as source: + for block in iter(lambda: source.read(8 * 1024 * 1024), b""): + digest.update(block) + return digest.hexdigest() + + +def energy64(position, velocity, masses, params): + energy = 0.5 * np.sum(masses[:, None] * velocity**2) + for i in range(len(masses) - 1): + delta = position[i + 1:] - position[i] + distance = np.sqrt(np.einsum("ij,ij->i", delta, delta) + params["softening"]**2) + energy -= params["G"] * masses[i] * np.sum(masses[i + 1:] / distance) + return float(energy) + + +def audit(trajectory_path, particles_path, params_path, sample_count=16, + reference_limit=512, atol=2e-5, motion_rtol=2e-3): + begin = time.perf_counter() + params = read_params(params_path) + initial = np.loadtxt(particles_path, dtype=np.float32, ndmin=2).astype(np.float64) + if initial.shape[1] != 7 or not np.isfinite(initial).all() or np.any(initial[:, 6] <= 0): + raise ValueError("initial particles must be finite x,y,z,vx,vy,vz,positive_mass") + trajectory = load_trajectory(trajectory_path) + n = len(initial) + expected = (params["num_steps"] // params["record_interval"] + 1, n, 3) + checks = [] + + def check(name, passed, **details): + checks.append(dict(name=name, passed=bool(passed), **details)) + + report = {"schema": "nbody-validation-v1", "trajectory": str(trajectory_path), + "trajectory_sha256": file_sha256(trajectory_path), + "particles_sha256": file_sha256(particles_path), + "params_sha256": file_sha256(params_path), "params": params, + "particles": n, "records": len(trajectory), "checks": checks} + check("shape", trajectory.shape == expected, expected=list(expected), actual=list(trajectory.shape)) + if trajectory.shape != expected: + report.update(status="FAIL", scope="file validation", elapsed_sec=time.perf_counter() - begin) + trajectory._mmap.close() + return report + check("initial_coordinates", np.array_equal(trajectory[0], initial[:, :3])) + finite = True + masses = initial[:, 6] + center0 = np.average(initial[:, :3], weights=masses, axis=0) + center_velocity = np.average(initial[:, 3:6], weights=masses, axis=0) + max_com_error = 0.0 + max_displacement = np.zeros(n) + static_records = 0 + previous = None + for start in range(0, len(trajectory), 32): + block = np.array(trajectory[start:start + 32], dtype=np.float64, copy=True) + finite &= bool(np.isfinite(block).all()) + if not finite: + break + max_displacement = np.maximum(max_displacement, np.linalg.norm(block - initial[None, :, :3], axis=-1).max(axis=0)) + centers = np.einsum("fij,i->fj", block, masses) / masses.sum() + times = np.arange(start, start + len(block)) * params["record_interval"] * params["dt"] + max_com_error = max(max_com_error, float(np.linalg.norm(centers - center0 - times[:, None] * center_velocity, axis=1).max())) + if previous is not None: + static_records += int(np.array_equal(block[0], previous)) + static_records += int(np.all(np.diff(block, axis=0) == 0, axis=(1, 2)).sum()) + previous = block[-1].copy() + check("finite_coordinates_all_records", finite) + if not finite: + report.update(status="FAIL", scope="file validation", elapsed_sec=time.perf_counter() - begin) + trajectory._mmap.close() + return report + report["motion"] = {"max_displacement": float(max_displacement.max()), + "median_max_displacement": float(np.median(max_displacement)), + "fully_static_transitions": static_records, + "fastest_particle_id": int(np.argmax(max_displacement))} + # COM in physical units, allowing float32 storage quantization. + scale = max(float(np.linalg.norm(initial[:, :3] - center0, axis=1).max()), 1.0) + com_tolerance = max(atol, scale * 2e-6) + check("center_of_mass_linear_motion", max_com_error <= com_tolerance, + max_error=max_com_error, tolerance=com_tolerance) + full = n <= reference_limit + if full: + ids = np.arange(n) + else: + # Include the heaviest and fastest body, then a deterministic random sample. + chosen = [int(np.argmax(masses)), int(np.argmax(max_displacement))] + chosen += np.random.default_rng(73).permutation(n).tolist() + ids = np.array(list(dict.fromkeys(chosen))[:min(sample_count, n)]) + report.update(scope="independent all-body CPU replay" if full else + "sampled CPU replay conditioned on recorded source positions", + reference_particle_ids=ids.tolist(), atol=atol, motion_rtol=motion_rtol, + limitations=[] if full else [ + "Unselected particle trajectories are not independently replayed.", + "Recorded source fields may share errors; this is not a full all-body correctness proof.", + "Global exact energy is not checked at this scale."]) + if not full and params["record_interval"] != 1: + check("sampled_replay_available", False, reason="requires record_interval=1") + else: + worst_ratio, worst_error, worst_record, worst_particle = 0.0, 0.0, 0, int(ids[0]) + for frame, reference in replay(initial, params, None if full else trajectory, ids): + if not np.isfinite(reference).all(): + check("cpu_reference_finite", False, record=frame) + break + observed = np.asarray(trajectory[frame, ids], dtype=np.float64) + # Relative to motion, not huge absolute world coordinates. Allow + # 4 float32 storage ULPs; report tolerance explicitly for review. + ulp = np.linalg.norm(np.abs(np.spacing(reference.astype(np.float32))).astype(np.float64), axis=1) + motion = np.linalg.norm(reference - initial[ids, :3], axis=1) + tolerance = atol + motion_rtol * motion + 4 * ulp + error = np.linalg.norm(observed - reference, axis=1) + ratios = error / tolerance + at = int(np.argmax(ratios)) + if ratios[at] > worst_ratio: + worst_ratio, worst_record, worst_particle = float(ratios[at]), frame, int(ids[at]) + worst_error = max(worst_error, float(error.max())) + if frame % 200 == 0: + print(f"Reference {frame + 1}/{len(trajectory)} | checked bodies {len(ids)}/{n}", flush=True) + check("cpu_trajectory_replay", worst_ratio <= 1, max_error=worst_error, + worst_error_to_tolerance_ratio=worst_ratio, worst_record=worst_record, + worst_particle_id=worst_particle) + if full and len(trajectory) >= 3: + # Velocities are not in BIN. Reconstruct at interior records and state + # explicitly that this diagnostic has O(record_dt^2) truncation error. + energies = [] + record_dt = params["dt"] * params["record_interval"] + sample_frames = np.unique(np.linspace(1, len(trajectory) - 2, min(25, len(trajectory) - 2), dtype=int)) + for frame in sample_frames: + velocity = (trajectory[frame + 1].astype(np.float64) - trajectory[frame - 1]) / (2 * record_dt) + energies.append(energy64(trajectory[frame].astype(np.float64), velocity, masses, params)) + denominator = max(abs(energies[0]), 1e-30) + report["energy_diagnostic"] = {"method": "exact pairs; velocities reconstructed by centered differences", + "relative_span": float(np.ptp(energies) / denominator), + "frames": sample_frames.tolist(), + "limitation": "O(record_dt^2) velocity error; reported, not an automatic conservation pass"} + passed = all(item["passed"] for item in checks) + report.update(status=("PASS" if full else "PASS_SAMPLED") if passed else "FAIL", + elapsed_sec=time.perf_counter() - begin) + trajectory._mmap.close() + return report + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("trajectory") + parser.add_argument("--particles", required=True) + parser.add_argument("--params", required=True) + parser.add_argument("--report", required=True) + parser.add_argument("--sample-particles", type=int, default=16) + parser.add_argument("--reference-limit", type=int, default=512) + parser.add_argument("--atol", type=float, default=2e-5) + parser.add_argument("--motion-rtol", type=float, default=2e-3) + args = parser.parse_args() + if args.sample_particles < 1 or args.reference_limit < 1 or not np.isfinite([args.atol, args.motion_rtol]).all() or min(args.atol, args.motion_rtol) <= 0: + parser.error("sample counts and tolerances must be finite and positive") + try: + report = audit(args.trajectory, args.particles, args.params, args.sample_particles, + args.reference_limit, args.atol, args.motion_rtol) + except (ValueError, OSError) as exc: + report = {"schema": "nbody-validation-v1", "status": "FAIL", "error": str(exc)} + path = Path(args.report) + path.parent.mkdir(parents=True, exist_ok=True) + path.write_text(json.dumps(report, indent=2, allow_nan=False) + "\n") + print(report["status"], path) + raise SystemExit(1 if report["status"] == "FAIL" else 0) + + +if __name__ == "__main__": + main() diff --git a/08_nbody/lihaokun-2026/visualize.py b/08_nbody/lihaokun-2026/visualize.py new file mode 100644 index 00000000..1bb060fc --- /dev/null +++ b/08_nbody/lihaokun-2026/visualize.py @@ -0,0 +1,371 @@ +import argparse +import shutil +import struct +import time +from pathlib import Path + +import numpy as np + + +OBJECT_STYLE = { + "black_hole": ((255, 245, 120), 8), + "neutron_star_white_dwarf": ((120, 220, 255), 4), + "star": ((255, 170, 70), 3), + "planet": ((80, 220, 130), 2), + "asteroid": ((185, 195, 215), 1), +} + + +def load_trajectory(path: str): + with open(path, "rb") as f: + header = f.read(8) + if len(header) != 8: + raise ValueError("trajectory file is too short") + particles, records = struct.unpack(" 20000 else particles + selected_groups = [] + for kind in OBJECT_STYLE: + indices = np.flatnonzero(object_types == kind) + if kind == "asteroid" and len(indices) > draw_limit: + indices = indices[np.linspace(0, len(indices) - 1, draw_limit, dtype=int)] + selected_groups.append(indices) + selected = np.unique(np.concatenate(selected_groups)) + limit_frames = np.linspace(0, len(trajectory) - 1, min(len(trajectory), 33), dtype=int) + limit_particles = np.linspace(0, len(selected) - 1, + min(len(selected), 20000), dtype=int) + limits = axis_limits(trajectory[np.ix_(limit_frames, selected[limit_particles])], z_scale) + display = np.array(trajectory[0, selected], dtype=np.float32, copy=True) + display[:, 2] *= z_scale + + fig = plt.figure(figsize=(width / dpi, height / dpi), dpi=dpi, facecolor="#10131a") + ax = fig.add_subplot(111, projection="3d") + ax.set(xlim=limits[0], ylim=limits[1], zlim=limits[2], xlabel="x", ylabel="y", + zlabel=f"z (scale {z_scale:g})") + ax.set_box_aspect((1, 1, 0.85)) + ax.view_init(elev=elevation, azim=azimuth) + ax.set_facecolor("#10131a") + ax.tick_params(colors="white") + for axis in (ax.xaxis, ax.yaxis, ax.zaxis): + axis.label.set_color("white") + axis.set_pane_color((0.07, 0.09, 0.13, 1.0)) + ax.grid(True, alpha=0.22) + title = ax.set_title("", color="white", pad=18, fontsize=13) + + selected_types = object_types[selected] + scatters = {} + locals_by_kind = {kind: np.flatnonzero(selected_types == kind) for kind in OBJECT_STYLE} + for kind, (color, size) in OBJECT_STYLE.items(): + local = locals_by_kind[kind] + if len(local): + rgb = tuple(component / 255.0 for component in color) + scatters[kind] = ax.scatter( + display[local, 0], display[local, 1], display[local, 2], + s=max(2.0, size * size * 0.75), c=[rgb], + alpha=0.85 if kind != "asteroid" else 0.38, + depthshade=False, edgecolors="none") + + # Batch all trail segments in one 3D collection. This shows substantially + # more particle trajectories without creating one expensive Line3D object + # per particle. Every body is still simulated and stored in the BIN file. + trail_count = min(trail_particles, len(selected)) if trail else 0 + trail_indices = np.linspace(0, len(selected) - 1, trail_count, dtype=int) + trail_collection = None + if trail_indices.size: + initial_points = display[trail_indices] + initial_segments = np.stack((initial_points, initial_points), axis=1) + trail_collection = Line3DCollection([], colors="#8ab4f8", linewidths=0.65, + alpha=0.58) + trail_collection.set_segments(initial_segments) + ax.add_collection3d(trail_collection) + legend_items = [ + Line2D([0], [0], marker="o", color="none", label=kind.replace("_", " "), + markerfacecolor=np.array(color) / 255.0, markersize=max(4, size + 1)) + for kind, (color, size) in OBJECT_STYLE.items() if kind in scatters + ] + ax.legend(handles=legend_items, loc="upper left", fontsize=8, + facecolor="#202631", labelcolor="white", framealpha=0.85) + + def update(frame): + start = max(0, frame - trail) if trail else frame + for kind, points in scatters.items(): + local = locals_by_kind[kind] + current = np.array(trajectory[frame, selected[local]], copy=True) + current[:, 2] *= z_scale + points._offsets3d = (current[:, 0], current[:, 1], current[:, 2]) + if trail_collection is not None: + history = np.array(trajectory[start:frame + 1, selected[trail_indices]], copy=True) + history[:, :, 2] *= z_scale + if len(history) > 1: + trail_collection.set_segments(history.transpose(1, 0, 2)) + else: + trail_collection.set_segments([]) + title.set_text(f"N-body 3D | frame {frame + 1}/{len(trajectory)} | " + f"bodies {len(selected):,}/{particles:,} | " + f"trails {len(trail_indices):,}") + animated = (*scatters.values(), title) + return animated + ((trail_collection,) if trail_collection is not None else ()) + + animation = FuncAnimation(fig, update, frames=frames if frames is not None else len(trajectory), + interval=interval, blit=False, cache_frame_data=False) + save_or_show(animation, output, dpi, 1000 / interval, encoder_preset) + plt.close(fig) + + +def find_objects_file(trajectory_path, explicit_path=None): + if explicit_path: + path = Path(explicit_path) + if not path.exists(): + raise FileNotFoundError(f"objects metadata not found: {path}") + return path + stem = Path(trajectory_path).stem + candidates = ( + Path(trajectory_path).with_name(f"{stem}_objects.txt"), + Path("data") / f"{stem}_objects.txt", + Path(__file__).parent / "data" / f"{stem}_objects.txt", + ) + return next((path for path in candidates if path.exists()), None) + + +def load_object_types(path, particles): + names = np.full(particles, "asteroid", dtype=object) + if path is None: + return names + rows = Path(path).read_text(encoding="utf-8").splitlines()[1:] + if len(rows) != particles: + raise ValueError(f"metadata has {len(rows)} objects, trajectory has {particles}") + seen = set() + for row in rows: + index, object_type, _mass = row.split() + if object_type not in OBJECT_STYLE: + raise ValueError(f"unknown object type: {object_type}") + index = int(index) + if index < 0 or index >= particles or index in seen: + raise ValueError(f"invalid or duplicate metadata index: {index}") + seen.add(index) + names[index] = object_type + return names + + +def main(): + from raster_animation import animate_raster, frame_indices + + parser = argparse.ArgumentParser(description="N-body: Matplotlib FuncAnimation with CUDA or CPU rendering") + parser.add_argument("trajectory", nargs="?", default="trajectory.bin") + parser.add_argument("--output", help="MP4 (recommended) or GIF; omit for interactive playback") + parser.add_argument("--time-log") + parser.add_argument("--objects", help="optional particle type metadata") + parser.add_argument("--backend", choices=("auto", "gpu", "numpy", "matplotlib"), default="auto", + help="auto: CUDA if available, otherwise NumPy; matplotlib: native scatter/Axes3D") + parser.add_argument("--device", default="cuda:0") + parser.add_argument("--video-encoder", choices=("auto", "cpu", "nvenc"), default="auto", + help="auto/cpu use libx264 (A800 has no NVENC)") + parser.add_argument("--encoder-preset", choices=("ultrafast", "superfast", "veryfast", "fast", "medium"), + default="veryfast") + parser.add_argument("--fps", type=float, default=25) + parser.add_argument("--interval", type=float, help="milliseconds per frame; overrides --fps") + parser.add_argument("--trail", type=int, default=80, help="history length in original records, not output frames") + parser.add_argument("--trail-particles", type=int, default=48, help="maximum fixed particle IDs with path overlays") + parser.add_argument("--dimension", choices=("2d", "3d"), default="3d") + parser.add_argument("--layout", choices=("detail", "overview"), default="detail", + help="GPU/NumPy: overview + true local particle path and displacement curves") + parser.add_argument("--focus-particle", type=int, help="GPU/NumPy: exact particle ID for local path (auto: largest sampled excursion)") + parser.add_argument("--z-scale", type=float, default=1.0, help="display-only z scale, default preserves geometry") + parser.add_argument("--azimuth", type=float, default=35) + parser.add_argument("--elevation", type=float, default=25) + parser.add_argument("--width", type=int, default=1280) + parser.add_argument("--height", type=int, default=720) + parser.add_argument("--raster-width", type=int, default=960) + parser.add_argument("--raster-height", type=int, default=540) + parser.add_argument("--dpi", type=int, default=100) + parser.add_argument("--exposure", type=float, default=1.5, help="fixed particle density tone-map scale") + parser.add_argument("--batch-frames", type=int, default=32, help="bounded contiguous trajectory upload batch") + parser.add_argument("--frame-stride", type=int, default=1) + parser.add_argument("--max-frames", type=int, help="preview cap, evenly spaced across the full simulation") + parser.add_argument("--view-radius", type=float, help="half-width of shorter camera axis in projected units") + parser.add_argument("--center", type=float, nargs=3, metavar=("X", "Y", "Z"), help="fixed camera center in input coordinates") + parser.add_argument("--record-dt", type=float, help="simulation dt * record_interval, for time labels only") + parser.add_argument("--time-unit", default="simulation units") + args = parser.parse_args() + for name in ("fps", "z_scale", "width", "height", "raster_width", "raster_height", "dpi", + "exposure", "batch_frames", "frame_stride"): + value = getattr(args, name) + if not np.isfinite(value) or value <= 0: + parser.error(f"--{name.replace('_', '-')} must be finite and positive") + for name in ("interval", "view_radius", "record_dt"): + value = getattr(args, name) + if value is not None and (not np.isfinite(value) or value <= 0): + parser.error(f"--{name.replace('_', '-')} must be finite and positive") + if args.trail < 0 or args.trail_particles < 0: + parser.error("--trail and --trail-particles cannot be negative") + if args.max_frames is not None and args.max_frames < 2: + parser.error("--max-frames must be at least 2") + if not np.isfinite([args.azimuth, args.elevation]).all() or (args.center is not None and not np.isfinite(args.center).all()): + parser.error("camera angles and center must be finite") + if args.interval is not None: + args.fps = 1000 / args.interval + suffix = Path(args.output).suffix.lower() if args.output else "" + if args.output: + if suffix not in (".mp4", ".gif"): + parser.error("--output must end with .mp4 or .gif") + if suffix == ".mp4" and (args.width % 2 or args.height % 2): + parser.error("H.264 requires even --width and --height") + if suffix == ".mp4" and shutil.which("ffmpeg") is None: + parser.error("MP4 export requires ffmpeg with libx264 in PATH") + import matplotlib + matplotlib.use("Agg") + Path(args.output).parent.mkdir(parents=True, exist_ok=True) + total_start = time.perf_counter() + trajectory = load_trajectory(args.trajectory) + if args.focus_particle is not None and not 0 <= args.focus_particle < trajectory.shape[1]: + parser.error("--focus-particle is outside this trajectory's particle IDs") + objects_path = find_objects_file(args.trajectory, args.objects) + object_types = load_object_types(objects_path, trajectory.shape[1]) + frames = frame_indices(len(trajectory), args.frame_stride, args.max_frames) + load_seconds = time.perf_counter() - total_start + backend = args.backend + if backend in ("auto", "gpu"): + try: + import torch + available = torch.cuda.is_available() + if available: + device = torch.device(args.device) + if device.type != "cuda": + parser.error("--device must select a CUDA device for GPU rendering") + torch.cuda.get_device_properties(device) + except ImportError: + available = False + if backend == "gpu" and not available: + parser.error("--backend gpu requires CUDA-enabled PyTorch and a visible NVIDIA GPU") + backend = "gpu" if available else "numpy" + if backend == "numpy": + print("CUDA unavailable; auto selected NumPy + FuncAnimation", flush=True) + if args.video_encoder == "nvenc": + if backend == "matplotlib": + parser.error("native matplotlib mode uses libx264; choose --video-encoder cpu") + if backend == "gpu" and any(k in torch.cuda.get_device_name(args.device).upper() for k in ("A100", "A800")): + parser.error("A800/A100 have no NVENC; use --video-encoder cpu") + if suffix == ".gif": + print("GIF uses Pillow and buffers frames in host RAM; use MP4 for large/full-length runs.", flush=True) + print(f"Records: {len(trajectory)}; output frames: {len(frames)}; playback: {len(frames) / args.fps:.2f}s", flush=True) + if backend == "matplotlib": + if args.focus_particle is not None: + parser.error("--focus-particle requires the gpu or numpy backend") + if args.view_radius is not None or args.center is not None: + parser.error("--view-radius/--center require the gpu or numpy projection backend") + if args.record_dt is not None: + parser.error("--record-dt time labels require the gpu or numpy backend") + if args.dimension == "3d": + animate_3d(trajectory, object_types, args.output, 1000 / args.fps, args.trail, + args.dpi, args.z_scale, frames, args.trail_particles, args.width, args.height, + args.azimuth, args.elevation, args.encoder_preset) + else: + animate_2d(trajectory, args.output, 1000 / args.fps, args.trail, args.dpi, + frames, args.trail_particles, args.width, args.height, args.encoder_preset) + stats = {"func_animation": True, "gpu_name": "none", + "video_encoder": "pillow" if suffix == ".gif" else "libx264"} + else: + stats = animate_raster(trajectory, object_types, OBJECT_STYLE, args, frames, backend) + elapsed = time.perf_counter() - total_start + if args.output: + log_path = Path(args.time_log) if args.time_log else Path(args.output).with_suffix(".visualization.log") + log_path.parent.mkdir(parents=True, exist_ok=True) + report = { + "trajectory": args.trajectory, "output": args.output, "backend": backend, + "dimension": args.dimension, "trajectory_frames": len(trajectory), + "output_frames": len(frames), "frame_stride": args.frame_stride, + "max_frames": args.max_frames, "particles": trajectory.shape[1], + "objects_metadata": objects_path or "none", "fps": args.fps, + "width": args.width, "height": args.height, "z_scale": args.z_scale, + "trail_records": args.trail, "batch_frames": args.batch_frames, + "encoder_preset": args.encoder_preset, "exposure": args.exposure, + "output_size_bytes": Path(args.output).stat().st_size, + "load_metadata_sec": load_seconds, **stats, + "visualization_total_sec": elapsed, "export_frames_per_sec": len(frames) / elapsed, + } + log_path.write_text("\n".join(f"{key}={value:.6f}" if isinstance(value, float) else f"{key}={value}" + for key, value in report.items()) + "\n", encoding="utf-8") + print(f"Visualization time: {elapsed:.3f}s; timing log: {log_path}", flush=True) + + +if __name__ == "__main__": + main()