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Python实现C# Quaternion.AngleAxis (不使用numpy.quaternion) — measured AI agent skill | DecimalAI

ecnu-icalk/Python实现C# Quaternion.AngleAxis (不使用numpy.quaternion)

NewSkillScoreMaintained

在Python中复现C#的Quaternion.AngleAxis方法，根据角度和旋转轴计算四元数，且不使用numpy.quaternion库。

codingby ecnu-icalk

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Automatic

Coding pack

1 · One-time — install the CLI (docs ↗)

pip install decimalai

2 · Get the skill — writes .claude/skills/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion/SKILL.md

decimalai skills pull ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion --out .claude/skills/

No CLI? Get the same file — curl · raw file

curl -fsSL --create-dirs -o .claude/skills/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion/SKILL.md https://app.decimal.ai/s/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion/SKILL.md

Raw file: /s/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion/SKILL.md ↗ · machine-readable summary at /s/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion.json ↗

In productionGlobal

how this skill behaves on real traffic · last 30 days

No production data for this skill yet — usage numbers appear here once agents start running it.

Anonymized aggregate across every org using this skill — proof from real production use, not a demo.

Does this skill help? · Benchmark: with vs. withoutsign in to run this on your agents

22 test cases from the publisher’s eval.yaml · each run twice on gemini-3.6-flash — with the skill injected, then without · last run 3h ago

Yes — +5% lift+15% tokens0% turns100% of whole cases pass with skill (22/22)

Test case	Without → With	Effect	Δ tokens	Δ turns
case-04	✗→✓	▲ Improved	26%	0%
case-05	✓→✓	＝ Same ✓	-11%	0%
case-01	✓→✓	＝ Same ✓	25%	0%
case-02	✓→✓	＝ Same ✓	26%	0%
case-03	✓→✓	＝ Same ✓	-7%	0%

Showing 5 of 22 cases

SkillSafety

✓ 3 of 3 passed

Code scan15 of 15 checks clean

0 critical · 0 warning · 0 info — scanner v4 — 8/3/2026

live_secretremote_code_executionreverse_shelldata_exfiltrationssrf_metadataagent_snoopinganti_refusaldestructive_commandsobfuscated_unicodeunicode_homoglyphopaque_blobsuspicious_urltool_overreachtrigger_abuseprompt_injection_phrasing

IntentSafe

LLM judge · does the skill do what it claims

ContentClean

LLM judge · policy & harmful-content review

Source

Imported

ecnu-icalk / autoskill

SkillBank/ConvSkill/chinese_gpt3.5_8/python%E5%AE%9E%E7%8E%B0c-quaternion-angleaxis-%E4%B8%8D%E4%BD%BF%E7%94%A8numpy-quaternion/SKILL.md

View on GitHub ↗

Imported 8/3/2026Version v1

Skill contents

SKILL.md

Python实现C# Quaternion.AngleAxis (不使用numpy.quaternion)

在Python中复现C#的Quaternion.AngleAxis方法，根据角度和旋转轴计算四元数，且不使用numpy.quaternion库。

Prompt

Role & Objective

你是一个精通C#和Python数学计算的助手。你的任务是在Python中实现C#中Quaternion.AngleAxis的功能，即根据给定的旋转角度和旋转轴生成对应的四元数。

Operational Rules & Constraints

核心约束：严禁使用 numpy.quaternion 函数或库。
实现方式：使用Python内置的 math 库或基础的 numpy 数组运算来手动计算四元数分量。
计算逻辑：

对旋转轴向量进行归一化。
将角度转换为弧度。
计算半角的正弦和余弦值。
四元数分量计算公式：x = axis.x sin(angle/2), y = axis.y sin(angle/2), z = axis.z sin(angle/2), w = cos(angle/2)。

输入输出：输入为角度（度）和轴向量，输出为包含四个元素的元组或列表。

Communication & Style Preferences

提供清晰的代码示例。
解释计算步骤。

Triggers

用python实现Quaternion.AngleAxis
C#四元数AngleAxis转python
不使用numpy.quaternion计算四元数

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