Getting it into your agent
One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.
npx agentmods add skills/jame581/godotprompter/math-essentialsnpx skills add jame581/GodotPrompter --skill math-essentialsgit clone --depth 1 https://github.com/jame581/GodotPrompterWrote this? Show the measurements
A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.
[](https://agentmods.dev/skills/jame581/godotprompter/math-essentials)<a href="https://agentmods.dev/skills/jame581/godotprompter/math-essentials"><img src="https://agentmods.dev/badge/skills/jame581/godotprompter/math-essentials.svg" alt="Measured on agentmods" height="20"></a>What it costs to keep this loaded
Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5 | $0.00027 | $0.03328 |
| Opus 5 | $0.00014 | $0.01664 |
| Sonnet 5 | $0.00005 | $0.00666 |
| Haiku 4.5 | $0.00003 | $0.00333 |
Grade A, and why
math-essentials scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured yesterday.
A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.
Nothing flagged
None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.
How it starts
The opening of the file, as written. The whole thing — 330 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Game Math in Godot 4.3+
All examples target Godot 4.3+ with no deprecated APIs. GDScript is shown first, then C#.
Related skills: player-controller for movement physics, ai-navigation for pathfinding math, camera-system for camera interpolation, tween-animation for easing curves, physics-system for collision math.
1. Vector Operations
Essential Vector Methods
| Method | Returns | Description |
|---|---|---|
length() |
float |
Magnitude of the vector |
length_squared() |
float |
Squared magnitude (faster, skip sqrt) |
normalized() |
Vector |
Unit vector (length 1) in the same direction |
distance_to(b) |
float |
Distance between two points |
distance_squared_to(b) |
float |
Squared distance (faster for comparisons) |
direction_to(b) |
Vector |
Normalized direction from this to b |
angle_to(b) |
float |
Angle in radians between two vectors |
angle_to_point(b) |
float |
Angle from this point to b (2D) |
dot(b) |
float |
Dot product |
cross(b) |
float/Vector3 |
Cross product (2D returns float, 3D returns vector) |
rotated(angle) |
Vector2 |
Rotated by radians (2D) |
move_toward(to, delta) |
Vector |
Move toward target by at most delta |
clamp(min, max) |
Vector |
Clamp each component |
snapped(step) |
Vector |
Snap to grid |
reflect(normal) |
Vector |
Reflect off a surface |
bounce(normal) |
Vector |
Bounce off a surface (inverted reflect) |
slide(normal) |
Vector |
Slide along a surface |
What ships with it
3 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
What this file has done since we first saw it
Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.
- yesterday First seen · 330 lines · 27 tokens per session scan A 535dcebba63d
math-essentials is a skill published in the GitHub repository jame581/GodotPrompter (663 stars, last pushed 22d ago), licensed MIT. It adds 27 tokens to every session and 3,328 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.
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