Fractal manipulation with LLMs
Project description
tranZoom
Fractal manipulation with LLMs
- Primary use case: Render ultra-deep Mandelbrot fractal images with arbitrary precision and use AI/LLMs to guide fractal zoom sequences
- Works with: Local filesystem (PNG output), complex-plane coordinates, local LLM vision models (via LMStudio +
transai) - Status: Early / experimental — core fractal engine is functional; AI-guided zoom is functional
- License: Apache-2.0
tranZoom is a Python CLI tool for rendering the Mandelbrot set at virtually unlimited zoom depth using arbitrary-precision arithmetic (gmpy2), and for navigating it using AI. The goal is to be able to zoom so deep that standard double-precision floating point becomes meaningless — tranZoom automatically computes the required precision and renders faithfully at any scale. The zoom ai command uses local LLM vision models (via transai / LMStudio) to evaluate each rendered frame, score nine sectors for visual interest, and autonomously navigate toward the most promising region of the fractal.
Since version 1.0.0 it is a PyPI package: https://pypi.org/project/tranzoom/
Built with:
- Python 3.12+ with Poetry for dependency management
- gmpy2 for arbitrary-precision (
mpq/mpfr) complex-plane arithmetic - Pillow for PNG image output
- tqdm for progress bars during rendering
- pydantic for structured LLM output parsing
- transai for AI/LLM integration (LMStudio vision models)
- Typer + Rich for the CLI and terminal output
- Transcrypto for CLI boilerplate, logging, hashing, and config management
- Ruff, MyPy, Pyright, typeguard, pre-commit, GitHub Actions for quality and CI
Table of contents
- tranZoom
- Table of contents
- License
- Installation
- Context / Problem Space
- CLI Interface
- Quick start
- Palettes
- Command structure
mandelglobal flagszoomglobal flags- CLI Commands Documentation
mandel gen— Render a Mandelbrot imagemandel read— Read a Mandelbrot imagezoom ai— AI-guided Mandelbrot zoom searchzoom manual— Manually-guided Mandelbrot zoom- Comprehensive example images and zooms
- Configuration
- Color and formatting
- Exit codes
- Project Design
- Development Instructions
- Security
- Troubleshooting
License
Copyright 2026 Daniel Balparda balparda@github.com & Bella Keri BellaKeri@github.com
Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License here.
Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.
Third-party notices
This project includes or depends on third-party software (see requirements.txt and pyproject.toml). Key dependencies include:
- gmpy2 — Apache-2.0 compatible
- Pillow — HPND license
- tqdm — MPL-2.0 / MIT
- pydantic — MIT
- transai — Apache-2.0
- transcrypto — Apache-2.0
Contributions and inbound licensing
Contributions are accepted under the Apache-2.0 license (same as project).
Installation
To install from PyPI:
pip3 install tranzoom
Or install from the repository for development (see Development Setup).
Supported platforms
- OS: Linux, macOS
- Architectures: x86_64, arm64
- Python: 3.12, 3.13, 3.14
Known dependencies (Prerequisites)
- python 3.12+ — documentation
- gmpy2 2.3+ — Arbitrary-precision arithmetic using GMP/MPFR/MPC — documentation
- Pillow 12+ — PNG image generation — documentation
- tqdm 4.67+ — Progress bars — documentation
- rich 14.2+ — Terminal formatting — documentation
- typer 0.21+ — CLI parser — documentation
- pydantic 2.13+ — Structured LLM output parsing — documentation
- transai 1.2+ — AI/LLM integration (LMStudio vision models) — documentation
- transcrypto 2.1+ — CLI utilities, logging, hashing, config — documentation
Context / Problem Space
What this tool is
tranZoom is a command-line fractal renderer focused on extreme zoom depth. Standard double-precision (float64) floating point has only about 15–16 significant decimal digits, so any zoom below roughly 1e-14 of the full Mandelbrot set will produce incorrect images due to precision loss. tranZoom uses gmpy2.mpq (exact rational arithmetic) to represent frame coordinates and gmpy2.mpfr (arbitrary-precision floating point) for the escape-time computations, automatically determining how many bits of precision are needed for any given zoom level.
Starting with version 1.1.0, tranZoom can use local LLM vision models to autonomously guide the zoom — identifying visually interesting regions, scoring nine sectors of the current frame, and navigating toward the most promising sector at each step. A manual mode is also available for human-guided zoom sessions with the same iterative frame navigation.
What this tool is not
- Not a real-time / interactive fractal explorer (rendering is intentionally CPU-intensive for correctness at depth)
- Not limited to a fixed precision (unlike most other fractal tools, which cap at
float64) - Not a cloud-based tool — AI zoom uses local LLM models via LMStudio; no external API calls
Key concepts and terminology
- Frame: A rectangular region of the complex plane, defined by two corners or a center + width. Stored as
gmpy2.mpq(exact rationals) to avoid any accumulation of rounding error in coordinates. - Precision: The number of bits of
mpfrfloating-point precision used for escape-time iteration. Computed automatically from the frame size; never needs to be set manually. - Magnification: Ratio of the default full-set frame area to the current frame area. 1× = full set; 1G× = zoomed in one billion times.
- Escape-time iteration: The core Mandelbrot test; larger
max_iterproduces more detail at high zoom. - Interior tests: Fast algebraic checks (main cardioid, period-2 bulb) that skip the iterative test for points known to be inside the set, speeding up rendering significantly.
- Color palette: Four built-in palettes color the exterior (escaped) pixels. The active palette is chosen with
--palette. Positions in the palette are determined by histogram equalization of escape-iteration counts, cycling through the stops3times across the range, so the full color range is used regardless of zoom depth or iteration scale. Interior points (never escaped) are always rendered as pure black. Available palettes:blue-to-yellow-to-brown(classic 16-stop gradient, default),lava(16-stop volcanic gradient),electric-ocean(32-stop abyss-to-magenta-to-lavender gradient),sunset(32-stop indigo-to-amber-to-wine gradient). - AI zoom session: The
zoom aicommand starts an iterative loop: render the current frame as a 512×512 image, draw a 3×3 thirds grid overlay with green sector labels, send the image to a local LLM vision model, parse the 9-sector scoring response, and move the frame center toward the highest-scoring sector. The optional--queryflag enables targeted search, blending fractal-quality scores with target-match scores. The loop runs until Ctrl+C or--max-stepsis reached. - Manual zoom session: The
zoom manualcommand runs the same iterative frame navigation but prompts the user for a direction at each step (1–9, numpad layout: 5=center, 8=N, 6=E, etc.) instead of querying an LLM. - Sector scoring: Each sector is scored on a 0–100 scale for
fractal_score(visual complexity / zoom promise). When targeted search is active, an additionaltarget_match_score(also 0–100) is blended in with a configurable weight. - Image metadata: All tranZoom PNG images embed rich metadata (
tranzoom:*PNG text chunks) including frame coordinates, magnification, palette, precision, and (for AI/manual sessions) the full LLM evaluation, model parameters, prompts, and zoom step count.
Inputs and outputs
Inputs
- stdin: not used (except the
zoom manualdirection prompt, which reads from stdin) - CLI arguments: center coordinates (real + imaginary parts as strings, for exact
mpqconversion), frame width/height, output image dimensions - Config file: stored in the OS-native location via
transcrypto.utils.config
Outputs
- stdout: progress info and saved filename
- stderr: warnings/errors/logs (controlled by
--verbose) - Output images are saved as
<prefix>[-<YYYYMMDDhhmmss>][-<SHA256-20>].png; the prefix defaults tomandeland is set via--prefix; date inclusion is controlled by--date/--no-date; hash (first 20 chars of SHA256, 80 bits) inclusion is controlled by--hash/--no-hash; output directory is set via-o/--out(defaults to the current working directory)
CLI Interface
Quick start
Render the full Mandelbrot set (default, 1024×1024):
$ poetry run mandel gen
1024x1024 Mandelbrot in frame [(-3/4, 0) @ 5/2], precision 80 bits, 1 magnification, AUTO iterations...
Pre: 100%|█████████████████████████████████████████████| 256/256 [00:00<00:00, 1011.19px/s]
Img: 100%|█████████████████████████████████████████████| 1048576/1048576 [00:13<00:00, 78912.96px/s]
Generated image 'bd77ee8874aa425422a9ea92867c53937f28534898d49a56b9e4d1dca7b5dd54' in 14.120 s, escape range (1, 1000)
Saved to "mandel-bd77ee8874aa425422a9.png"
As can be seen, the Frame is stored as rational numbers with arbitrary precision, [(-3/4, 0) @ 5/2], so it is guaranteed to be exact (centered in $-0.75+0j$ and with width of $2.5$). It will pick a precision, in bits, which is the internal float representation (mantissa), and will pick the (max) number of iterations for the generation. The magnification here is 1 because it is the full Mandelbrot set. There will be a progress bar, counting the horizontal lines being produced. The generated image data will be hashed and then saved to a PNG on disk.
Render a well-known zoom ("Seahorse", ~155× magnification):
poetry run mandel gen " -0.74303" "0.126433" "0.01611"
See many more examples in Comprehensive example images and zooms.
Palettes
With the --palette flag you can pick your color scheme. We provide the following out of the box:
| Flag Value | Example |
|---|---|
blue-to-yellow-to-brown" (DEFAULT) |
|
"lava" |
|
"electric-ocean" |
|
"sunset" |
Command structure
mandel [global flags] <command> [args]
zoom [global flags] <command> [args]
mandel global flags
| Flag | Description | Default |
|---|---|---|
--help |
Show help | off |
--version |
Show version and exit | off |
-v, -vv, -vvv, --verbose |
Verbosity (nothing=ERROR, -v=WARNING, -vv=INFO, -vvv=DEBUG) |
ERROR |
--color/--no-color |
Force enable/disable colored output (respects NO_COLOR env var if not provided) |
--color |
-w/--width |
Output image width in pixels (16–8192) | 1024 |
-h/--height |
Output image height in pixels (16–8192) | 1024 |
--threads |
Number of worker processes for rendering (1–N, default: all available cores) | all cores |
-o/--out |
Output directory path | current directory |
--prefix |
Filename prefix | mandel |
--date/--no-date |
Include date-time (YYYYMMDDhhmmss) in filename |
--date |
--hash/--no-hash |
Include 20-char SHA256 hash in filename | --hash |
zoom global flags
| Flag | Description | Default |
|---|---|---|
--help |
Show help | off |
--version |
Show version and exit | off |
-v, -vv, -vvv, --verbose |
Verbosity | ERROR |
--color/--no-color |
Force enable/disable colored output | --color |
--threads |
Number of worker processes for rendering | all cores |
-o/--out |
Output directory path | current directory |
--prefix |
Filename prefix | mandel |
--date/--no-date |
Include date-time in filename | --date |
--hash/--no-hash |
Include 20-char SHA256 hash in filename | --hash |
-m/--model |
LMStudio model identifier to load | (required) |
--spec-tokens |
Speculative decoding tokens | model default |
--seed |
Random seed for the model | random |
-c/--context |
Context window size in tokens | model default |
-x/--temperature |
Sampling temperature | 0.4 |
--gpu |
GPU usage ratio (0.0–1.0) |
0.0 |
--gpu-layers |
Number of model layers to offload to GPU | 0 |
--fp16 |
Use FP16 precision | off |
--use-mmap |
Use memory-mapped model files | off |
--flash |
Use flash attention | off |
--kv-cache |
Key-value cache size | model default |
--timeout |
Model operation timeout in seconds | 300.0 |
Note: zoom images are always 512×512 pixels; the --width/--height flags are only available on the mandel app.
CLI Commands Documentation
Auto-generated CLI reference:
mandel gen — Render a Mandelbrot image
poetry run mandel [-w WIDTH] [-h HEIGHT] gen [CENTER_RE] [CENTER_IM] [F_WIDTH] [F_HEIGHT] [--iter N] [--palette NAME]
Positional arguments (all optional; defaults show the full Mandelbrot set):
| Argument | Description | Default |
|---|---|---|
CENTER_RE |
Real part of the center point (string, for exact precision); or a path to an existing tranZoom PNG — the frame is then read from that image's metadata, and the remaining frame arguments are ignored | '-0.75' |
CENTER_IM |
Imaginary part of the center point (string, for exact precision) | '0' |
F_WIDTH |
Width of the frame in the real plane | '2.5' |
F_HEIGHT |
Height of the frame in the imaginary plane | same as F_WIDTH |
Tip — re-render from a saved image: pass a tranZoom PNG path as CENTER_RE to pick up exactly the same frame:
poetry run mandel gen "/path/to/saved.png"
Command-level options:
| Option | Description | Default |
|---|---|---|
-i/--iter |
Override max iterations (depth); 1000–4294967295 |
automatic adaptive search |
--palette |
Color palette name | blue-to-yellow-to-brown |
The command:
- Constructs a
Framefrom the given coordinates usinggmpy2.mpqexact arithmetic - Calculates the required
mpfrprecision automatically based on zoom depth - When
--iteris not given, runs an adaptive pre-pass on a tiny 16×16 render to estimate the optimalmax_iterfor the frame (with a 1.5× safety margin); otherwise uses the value supplied - Renders all pixels in parallel using
ProcessPoolExecutor(one process per available CPU core, up to 16), each writing an interleaved subset of rows; results are merged into the final image - Each process uses the escape-time algorithm with cardioid/period-2 bulb interior shortcuts and histogram-equalized color palette
- Saves the PNG to
<prefix>[-<YYYYMMDDhhmmss>][-<SHA256-20>].pngin the working directory (or the path given by-o/--out)
See below for many example outputs.
mandel read — Read a Mandelbrot image
poetry run mandel read <IMAGE_PATH> [--iterm]
Reads an existing tranZoom PNG and pretty-prints all embedded metadata:
$ poetry run mandel read mandel-38824cdaa58b64496ebf.png
'/path/to/mandel-38824cdaa58b64496ebf.png'
1024x1024 (wxh) / 38824cdaa58b64496ebfd86facf4d4ba4596ab18db95ac97afd643a7a892ff83
{
"tranzoom:version": "1.1.0",
"tranzoom:frame:fractal": "Mandelbrot",
"tranzoom:frame:top_re": "-7436499/10000000",
...
}
Use --iterm to also display the image inline (macOS + iTerm2 only).
zoom ai — AI-guided Mandelbrot zoom search
poetry run zoom -m "<model>" ai [CENTER_RE] [CENTER_IM] [F_WIDTH] [F_HEIGHT] \
[-n STEPS] [-q QUERY] [--reason] [--memory N] [--iterm]
Starts an AI-guided iterative zoom session:
- Renders the current frame as a 512×512 image
- Draws a 3×3 thirds grid with green sector numbers on top
- Sends the image to the LLM vision model with a fractal-scoring prompt
- Parses the structured response (9 sector scores)
- Navigates the frame toward the highest-scoring sector (by ~1/3 of the frame size)
- Saves the image with full LLM evaluation embedded in PNG metadata
- Repeats until Ctrl+C or
--max-stepsis reached
Command-level options:
| Option | Description | Default |
|---|---|---|
CENTER_RE |
Real part of the starting frame center; or a path to an existing tranZoom PNG (frame is read from image metadata; other frame arguments ignored) | '-0.75' (full set) |
CENTER_IM |
Imaginary part of the starting frame center | '0' |
F_WIDTH |
Starting frame width | '2.5' |
F_HEIGHT |
Starting frame height | same as F_WIDTH |
-n/--max-steps |
Max zoom steps; 0 = unlimited (Ctrl+C to stop) |
0 |
-q/--query |
Targeted search query added to the scoring prompt | None |
--reason/--no-reason |
Include LLM reasoning text per sector | off |
--memory |
Number of previous steps in LLM chat history | 5 |
--iterm/--no-iterm |
Print image inline in iTerm2 | off |
Example — start from the full set, zoom using Qwen 32B vision:
poetry run zoom -m "qwen3-vl-32b-instruct@q8_0" ai
Example — start from the Seahorse Tail, targeted search, 10 steps, show images:
poetry run zoom -m "qwen3-vl-32b-instruct@q8_0" -x 0.7 ai \
" -0.7436499" "0.13188204" "0.00073801" \
-q "spiral" --iterm -n 10
Example — resume a previous session from a saved tranZoom PNG (frame read from image metadata):
poetry run zoom -m "qwen3-vl-32b-instruct@q8_0" ai "/path/to/saved.png"
zoom manual — Manually-guided Mandelbrot zoom
poetry run zoom manual [CENTER_RE] [CENTER_IM] [F_WIDTH] [F_HEIGHT] [-n STEPS] [--iterm]
Same iterative rendering loop as zoom ai, but at each step the user types a direction (1–9, numpad layout: 5=center/zoom-in, 8=N, 2=S, 4=W, 6=E, 7=NW, 9=NE, 1=SW, 3=SE) instead of querying an LLM. The evaluation is stored in PNG metadata labeled as HUMAN.
Positional frame arguments work the same way as zoom ai: pass a tranZoom PNG path as CENTER_RE to start the session from the frame stored in that image's metadata.
Note: zoom manual does not require the AI model flags; it does not load an LLM.
Comprehensive example images and zooms
You can run all these at once by executing scripts/make_examples.sh.
Full / Default (×1, 80 bits)
Render the full Mandelbrot set with all the default values (image size 1024×1024, centered in $-0.75+0j$ and with width of $2.5$, a good frame that contains the whole set):
$ poetry run mandel gen
1024x1024 Mandelbrot in frame [(-3/4, 0) @ 5/2], precision 80 bits, 1 magnification, AUTO iterations...
Pre: 100%|█████████████████████████████████████████████| 256/256 [00:00<00:00, 962134.25px/s]
Img: 100%|█████████████████████████████████████████████| 1048576/1048576 [00:01<00:00, 593762.44px/s]
Generated image 'bd77ee8874aa425422a9ea92867c53937f28534898d49a56b9e4d1dca7b5dd54' in 3.135 s, escape range (1, 1000)
Saved to "mandel-bd77ee8874aa425422a9.png"
This is what tranZoom considers "1 magnification", and will measure other magnifications against this size.
Seahorse (×155, 83 bits)
Render a well-known zoom ("Seahorse") to a 1024×1024 image (default size):
$ poetry run mandel gen " -0.74303" "0.126433" "0.01611"
1024x1024 Mandelbrot in frame [(-74303/100000, 126433/1000000) @ 1611/100000], precision 83 bits, 155.183 magnification, AUTO iterations...
Pre: 100%|█████████████████████████████████████████████| 256/256 [00:00<00:00, 2575.92px/s]
Img: 100%|█████████████████████████████████████████████| 1048576/1048576 [00:36<00:00, 28721.25px/s]
Generated image '0cf52a6f78b4a883727c553da286b9f0f446a3671b01a6e364e3ae8f9b2391b3' in 38.291 s, escape range (24, 9276)
Saved to "mandel-0cf52a6f78b4a883727c.png"
Seahorse Tail (×3k, 88 bits)
Render a "Seahorse Tail" to a 512×512 image:
$ poetry run mandel gen " -0.7436499" "0.13188204" "0.00073801"
1024x1024 Mandelbrot in frame [(-7436499/10000000, 3297051/25000000) @ 73801/100000000], precision 88 bits, 3.387 k magnification, AUTO iterations...
Pre: 100%|█████████████████████████████████████████████| 256/256 [00:00<00:00, 101834.39px/s]
Img: 100%|█████████████████████████████████████████████| 1048576/1048576 [00:05<00:00, 199725.00px/s]
Generated image '38824cdaa58b64496ebfd86facf4d4ba4596ab18db95ac97afd643a7a892ff83' in 6.797 s, escape range (36, 1000)
Saved to "mandel-38824cdaa58b64496ebf.png"
This image is relatively fast to generate (despite the zoom level, it has very little interior regions), so we use it in the unit and integration tests to make sure we are operating consistently. If the hash of this image changes, remember to change it in src/tranzoom/cli/base.py.
Powers of 1000
Centering on exactly:
$-0.7436438870371587047521915061147740000000008 + 0.13182590420531197049313205638514950000008j$
or, if you want to use as parameters:
" -0.7436438870371587047521915061147740000000008" "0.13182590420531197049313205638514950000008"
We have, for fun, generated a sequence of powers of 1000, demonstrating the amazing power of the infinite. The view size of each image is always $2.5$ times some power of 1000.
| Image | Bits | Depth | Size $2.5\times$ | Equivalent real-world size / Landmark examples |
|---|---|---|---|---|
| $80$ | $1$ - $1000$ | $1$ | $\sim 10^{11}$ light-years = Observable-universe scale, about $93$ billion light-years across. | |
| $86$ | $32$ - $1000$ | $10^{-3}$ | $\sim 10^{8}$ light-years = Cosmic-web / supercluster scale: galaxy walls, voids. | |
| $96$ | $219$ - $7348$ | $10^{-6}$ | $\sim 10^{5}$ light-years = Galaxy scale: the Milky Way is about $100{,}000$ light-years across. | |
| $106$ | $1006$ - $2664$ | $10^{-9}$ | $\sim 100$ light-years = Local stellar-neighborhood scale: nearby star groups, nebulae, and star-forming regions. | |
| $116$ | $1974$ - $3901$ | $10^{-12}$ | $\sim 0.1$ light-year = Outer-solar-system scale: comparable to the distant Oort-cloud region. | |
| $126$ | $4132$ - $93051$ | $10^{-15}$ | $\sim 10^{9},\mathrm{km}$ = Inner-to-middle solar-system scale: comparable to giant-planet orbital distances. | |
| $136$ | $8035$ - $11740$ | $10^{-18}$ | $\sim 10^{6},\mathrm{km}$ = Star / giant-planet scale: the Sun’s diameter is about $1.39 \times 10^{6},\mathrm{km}$. | |
| $146$ | $9033$ - $15673$ | $10^{-21}$ | $\sim 10^{3},\mathrm{km}$ = Planetary-geography scale: large countries, small moons, continent-scale weather systems. | |
| $156$ | $13074$ - $33133$ | $10^{-24}$ | $\sim 1,\mathrm{km}$ = Human landscape scale: mountains, city districts, bridges, runways. | |
| $166$ | $17130$ - $32103$ | $10^{-27}$ | $\sim 1,\mathrm{m}$ = Human/body scale: a person, table, doorway, musical instrument. | |
| $176$ | $26939$ - $61788$ | $10^{-30}$ | $\sim 1,\mathrm{mm}$ = Small visible-object scale: sand grains, seeds, insect parts, raindrops. | |
| $186$ | $58119$ - $205876$ | $10^{-33}$ | $\sim 1,\mu\mathrm{m}$ = Cell/microbe scale: bacteria, organelles, and wavelengths near visible/infrared light. | |
| $196$ | $65240$ - $67722$ | $10^{-36}$ | $\sim 1,\mathrm{nm}$ = Molecule scale: DNA width, proteins, small molecular machines. | |
| $206$ | $65327$ - $67968$ | $10^{-39}$ | $\sim 1,\mathrm{pm}$ = Deep atomic/electron-cloud scale: smaller than typical atomic diameters, which are around $10^{-10},\mathrm{m}$. | |
| $216$ | $65524$ - $70198$ | $10^{-42}$ | $\sim 1,\mathrm{fm}$ = Atomic nucleus / proton scale: the proton rms charge radius is about $8.4075 \times 10^{-16},\mathrm{m}$. | |
| $226$ | $65799$ - $69258$ | $10^{-45}$ | $\sim 1,\mathrm{am}$ = Quarks and leptons: elementary particles in the Standard Model |
Configuration
Config files are stored in OS-native locations via transcrypto.utils.config:
- macOS:
~/Library/Application Support/tranzoom/config.bin - Linux:
~/.config/tranzoom/config.bin - Windows:
%APPDATA%\tranzoom\config.bin
Color and formatting
The CLI respects the NO_COLOR environment variable and the --no-color / --color flag. Rich markup is used for console output — see Rich markup conventions.
Exit codes
| Code | Meaning |
|---|---|
| 0 | Success |
| 1 | Generic failure |
| 2 | CLI usage error (bad arguments) |
Project Design
Modules / packages
| Component | Responsibility |
|---|---|
mandel.py |
Mandelbrot CLI entry point (mandel gen, mandel read, mandel markdown) |
zoom.py |
Mandelbrot zoom CLI entry point (zoom ai, zoom manual, zoom markdown) |
cli/base.py |
Shared CLI options, defaults, DEFAULT_MANDELBROT_FRAME |
cli/gencommand.py |
mandel gen and mandel read command implementations |
cli/aicommand.py |
zoom ai and zoom manual command implementations |
core/fractal.py |
Mandelbrot() renderer — most fractal math |
core/frame.py |
Frame class, Fractal enum, and base coordinate math |
core/image.py |
Image class; image utilities, overlays, iTerm2 printing, metadata helpers |
core/palette.py |
Palette definitions and color mapping |
core/queries.py |
AI prompt templates and Pydantic models for structured LLM responses |
core/ai.py |
ZoomLoop() and ManualLoop() — iterative AI and manual zoom session logic |
utils/template.py |
Template for new utility modules |
Performance characteristics
Rendering is CPU-bound. Time scales roughly with width × height × max_iter × precision_overhead. For deep zooms, higher precision means slower mpfr arithmetic (roughly linear in the number of bits). For very deep zooms (>100 bits precision), rendering a 256×256 image at 50k iterations can take minutes to hours. The tqdm progress bar shows per-row speed.
The Mandelbrot() function pre-computes all X-axis mpfr values once per image and reuses them across rows, which is an important optimization since mpfr construction is expensive at high precision.
Development Instructions
File structure
.
├── CHANGELOG.md ⟸ latest changes/releases
├── LICENSE
├── Makefile
├── mandel.md ⟸ auto-generated CLI doc (by `make docs` or `make ci`)
├── zoom.md ⟸ auto-generated CLI doc (by `make docs` or `make ci`)
├── poetry.lock ⟸ maintained by Poetry; do not manually edit
├── pyproject.toml ⟸ most important configurations live here
├── README.md ⟸ this documentation
├── SECURITY.md ⟸ security policy
├── requirements.txt
├── .editorconfig
├── .gitignore
├── .pre-commit-config.yaml ⟸ pre-submit configs
├── .github/
│ ├── copilot-instructions.md
│ ├── dependabot.yaml
│ └── workflows/
│ ├── ci.yaml
│ └── codeql.yaml
├── .vscode/
│ ├── extensions.json
│ └── settings.json
├── scripts/
│ ├── make_examples.sh ⟸ renders example images at all zoom levels to test/data/images
│ └── template.py ⟸ template for standalone executable scripts
├── src/
│ └── tranzoom/
│ ├── __init__.py ⟸ version lives here
| ├── mandel.py ⟸ TranZoom mandel CLI
│ ├── zoom.py ⟸ TranZoom zoom CLI + TranZoomAIConfig
│ ├── py.typed
│ ├── cli/
│ │ ├── __init__.py
│ │ ├── aicommand.py ⟸ `zoom ai` and `zoom manual` command implementations
│ │ ├── base.py ⟸ shared CLI options, frame defaults, config dataclasses
│ │ └── gencommand.py ⟸ `mandel gen` and `mandel read` command implementations
│ ├── core/
│ │ ├── __init__.py
│ │ ├── ai.py ⟸ ZoomLoop() and ManualLoop() — zoom session logic
│ │ ├── fractal.py ⟸ Mandelbrot() renderer
│ │ ├── frame.py ⟸ Frame class, Fractal enum; base for computation
│ │ ├── image.py ⟸ Image class, overlays, iTerm2, metadata helpers
│ │ ├── palette.py ⟸ Palette definitions
│ │ └── queries.py ⟸ AI prompt templates and Pydantic response models
│ └── utils/
│ ├── __init__.py
│ └── template.py ⟸ template for new utility modules
├── tests/
│ ├── mandel_test.py
│ ├── zoom_test.py
│ ├── cli/
│ │ ├── base_test.py ⟸ seahorse tail hash regression test
│ │ └── gencommand_test.py
│ └── data/
│ └── images/ ⟸ example renders at 7 zoom levels and powers of 1000
└── tests_integration/
└── test_installed_cli.py
Development Setup
Install Python
On Linux:
sudo apt-get update && sudo apt-get upgrade
sudo apt-get install git python3 python3-dev python3-venv build-essential software-properties-common
sudo add-apt-repository ppa:deadsnakes/ppa && sudo apt-get update
sudo apt-get install python3.12 # or python3.13 or python3.14
On macOS:
brew update && brew upgrade && brew cleanup -s
brew install git python@3.12 # or python3.13 or python3.14
Note: gmpy2 requires the GMP, MPFR, and MPC C libraries. On macOS: brew install gmp mpfr mpc. On Linux: sudo apt-get install libgmp-dev libmpfr-dev libmpc-dev.
Install Poetry (recommended: pipx)
python3 -m pip install --user pipx
python3 -m pipx ensurepath
pipx install poetry
poetry --version
If you will use PyPI to publish:
poetry config pypi-token.pypi <TOKEN>
Make sure .venv is local
poetry config virtualenvs.in-project true
Get the repository
git clone https://github.com/balparda/tranzoom.git
cd tranzoom
Create environment and install dependencies
poetry env use python3.12 # creates the .venv with the correct Python version
poetry sync # install all dependencies from poetry.lock
poetry env info # verify environment
poetry run mandel --help # smoke test
poetry run zoom --help # smoke test
make ci # should pass on clean repo
To activate the environment:
source .venv/bin/activate
# ... work ...
deactivate
Optional: VSCode setup
This repo ships a .vscode/settings.json configured to use ./.venv/bin/python, run pytest, format with Ruff, and use Google-style docstrings. Recommended extensions:
- Python (
ms-python.python) - Python Environments (
ms-python.vscode-python-envs) - Python Debugger (
ms-python.debugpy) - Pylance (
ms-python.vscode-pylance) - Mypy Type Checker (
ms-python.mypy-type-checker) - Ruff (
charliermarsh.ruff) - autoDocstring (
njpwerner.autodocstring) - Code Spell Checker (
streetsidesoftware.code-spell-checker) - markdownlint (
davidanson.vscode-markdownlint) - Markdown All in One (
yzhang.markdown-all-in-one) - GitHub Copilot (
github.copilot)
Build
poetry build # builds wheel + sdist in dist/
Run locally
poetry run mandel --help
poetry run mandel gen # full set, 1024×1024
Testing
Unit tests / Coverage
make test # plain test run (no integration tests)
make integration # run the integration tests
poetry run pytest -vvv # verbose
make cov # coverage: poetry run pytest --cov=src --cov-report=term-missing
Test tags defined in pyproject.toml:
| Tag | Meaning |
|---|---|
slow |
test takes > 1s |
flaky |
known flaky test — avoid |
stochastic |
may fail with very low probability |
Filter by tag:
poetry run pytest -vvv -m slow
Find slow tests:
poetry run pytest -vvv -q --durations=20
Find flaky tests:
make flakes # runs all tests 100 times
Instrumenting your code
source .venv/bin/activate
pyinstrument -r html -o profile.html -- $(which mandel) gen " -0.74303" "0.126433" "0.01611"
deactivate
Integration / e2e tests
Integration tests build a wheel, install it into a fresh temporary virtualenv, and run the console scripts. Run with:
make integration
# or:
poetry run pytest -m integration -q
Linting / formatting / static analysis
make lint # poetry run ruff check .
make fmt # poetry run ruff format .
poetry run ruff format --check --diff . # check formatting without rewriting
Type checking
make type # poetry run mypy src tests tests_integration
Documentation updates
CLI reference is auto-generated from the CLI source code:
make docs # regenerates mandel.md & zoom.md
# or:
poetry run mandel markdown > mandel.md
poetry run zoom markdown > zoom.md
Always run make ci before committing — it runs linting, type checking, tests, and regenerates docs and requirements.txt.
Versioning and releases
Versioning scheme
- Patch: bug fixes / docs / small improvements.
- Minor: new features or non-breaking changes.
- Major: breaking changes (command renames, incompatible output formats).
See: CHANGELOG.md
Updating versions
Bump project version (patch/minor/major)
poetry version minor # 1.0.0 → 1.1.0
poetry version patch # 1.0.0 → 1.0.1
poetry version 1.2.3 # explicit version
Also update src/tranzoom/__init__.py to match!
Update dependency versions
poetry update # update poetry.lock to latest compatible versions
poetry cache clear PyPI --all # if cache issues
poetry add "pkg>=1.2.3" # add prod dependency
poetry add -G dev "pkg>=1.2.3" # add dev dependency
Exporting the requirements.txt file
make req # poetry export --format requirements.txt --without-hashes --output requirements.txt
CI and docs
make ci # runs lint, type check, tests, docs, requirements — do this before every commit
Git tag and commit
git commit -a -m "release version 1.0.0"
git tag 1.0.0
git push && git push --tags
Publish to PyPI
poetry config pypi-token.pypi <TOKEN> # once, if not already configured
poetry build
poetry publish
Security
Please refer to the security policy in SECURITY.md for supported versions and how to report vulnerabilities.
The project uses CodeQL (weekly + on every push) and dependabot (weekly dependency updates) to keep the codebase secure and up-to-date.
Troubleshooting
Enable debug output
poetry run mandel -vvv gen ... # DEBUG level logging
gmpy2 installation issues
On macOS, gmpy2 requires the GMP, MPFR, and MPC C libraries. Install them first:
brew install gmp mpfr mpc
poetry sync
On Linux:
sudo apt-get install libgmp-dev libmpfr-dev libmpc-dev
poetry sync
Rendering is very slow
- Reduce image size:
mandel -w 256 -h 256 gen ... max_iteris auto-scaled with zoom depth; very deep zooms are inherently slow- Very high precision (> 1000 bits, i.e., zoom > ~10^300) will always be slow — this is expected
Thanks! Daniel Balparda & Bella Keri
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