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

codingby ecnu-icalk

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

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

Source ecnu-icalk/autoskill ↗License Not recorded

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。

SkillScore100Maintained

Automatic

Coding pack

Last verified 8/18/2026

What it changes

Passed 22 of 22 test cases with the skill, and 21 of 22 without it.

Without skill95%

With skill100%

Checks it passed that the model alone missed

The computed w component is 0.0

1 fixed21 passed either way0 still failing0 broke

Pass-rate lift: +5 pp
Tokens: +15%
Agent turns: 0%
Response time: -4%

Model gemini-3.6-flashMeasured 8/18/2026v122 of 22 cases passed with skill

Tokens, turns and time describe resource use, not a dollar price.

Use this skill

Save it into your project's skills folder. Claude Code picks it up in its next session.

curl -fsSL --create-dirs -o .claude/skills/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion-758ed1/SKILL.md https://app.decimal.ai/s/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion/SKILL.md

Want it pinned and updatable? pip install "decimalai>=0.15", then decimalai skills add ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion, and start Claude Code with claude --plugin-dir "$(git rev-parse --show-toplevel)/.agents"

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

pip install "decimalai>=0.15"

2 · Get the skill — writes .agents/skills/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion-758ed1/ and pins it in .decimal/skills.lock

decimalai skills add ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion

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

curl -fsSL --create-dirs -o .claude/skills/ecnu-icalk-python-c-quaternion-angleaxis-numpy-quaternion-758ed1/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 ↗

Safety checks: 3 of 3 passed

Code scan CleanIntent PassedContent Clean

See it in action

A test case the skill fixed. Same model, same prompt, with and without the skill.

Prompt

Compute the quaternion representation (x, y, z, w) in Python for a 180-degree rotation around axis [1, 0, 0] manually using math.sin and math.cos.

What was checked, without and with the skill
Checked	Without skill	With skill
The computed x component equals 1.0	Passed	Passed
The computed w component is 0.0	Missed	Passed

case-04 · gemini-3.6-flash · 8/18/2026 · answers are capped and redacted

What's inside

The instructions your model reads when the skill loads.

SKILL.md28 linessingle file

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

Track record

Benchmark

22 / 22

test cases passed, vs 21 / 22 without

Adoption

Users: 0
Times used: 0

Safety and source details

SkillSafety

✓ 3 of 3 passed

Code scan15 of 15 checks clean

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

View 15 scanner checks

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

More skills from the same source and nearby in the registry, with their headline benchmark lift.

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What's inside

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

Prompt

Role & Objective

Operational Rules & Constraints

Communication & Style Preferences

Triggers

Track record

Benchmark

Adoption

SkillSafety

Source

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