# MDCTN :yarn:
Multidimensional [Modified Discrete Cosine Transforms](https://en.wikipedia.org/wiki/Modified_discrete_cosine_transform)
```bash
pip install mdctn
```
- [x] 1-D MDCT & IMDCT
- [ ] n-D MDCT & IMDCT
- [ ] Windowing support
- [x] Helper functions for signals
### 1-D MDCT on signals
Signals are [wrapped around](https://github.com/zeroby0/mdctn/discussions/1)
so all the data is stored in the same number of bits.
``` python
import numpy as np
from mdctn import mdct, imdct
x = np.arange(24)
y = mdct(x, N=16)
z = imdct(y, N=16)
np.allclose(x, z) # True
```
### 1-D Pure MDCT
The core MDCT function
``` python
import numpy as np
from mdctn import core
x = np.arange(6) # [0, 1, 2, 3, 4, 5]
y_1 = core.mdct(x[0:4]) # [-2.50104055, -0.49476881]
y_2 = core.mdct(x[2:6]) # [-4.34879961, -1.26013568]
z_1 = core.imdct(y_1) # [-0.5, 0.5, 2.5, 2.5]
z_2 = core.imdct(y_2) # [-0.5, 0.5, 4.5, 4.5]
z = (z_1[2:4] + z_2[0:2]) # [2.0, 3.0]
```
### Benchmarks
See [benchmarks.ipynb](./benchmarks.ipynb)
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"description": "# MDCTN :yarn:\n\nMultidimensional [Modified Discrete Cosine Transforms](https://en.wikipedia.org/wiki/Modified_discrete_cosine_transform)\n\n```bash\npip install mdctn\n```\n\n- [x] 1-D MDCT & IMDCT\n- [ ] n-D MDCT & IMDCT\n- [ ] Windowing support\n- [x] Helper functions for signals\n\n\n\n### 1-D MDCT on signals\n\nSignals are [wrapped around](https://github.com/zeroby0/mdctn/discussions/1)\nso all the data is stored in the same number of bits.\n\n``` python\nimport numpy as np\nfrom mdctn import mdct, imdct\n\nx = np.arange(24)\n\ny = mdct(x, N=16)\nz = imdct(y, N=16)\n\nnp.allclose(x, z) # True\n```\n\n### 1-D Pure MDCT\n\nThe core MDCT function\n\n``` python\nimport numpy as np\nfrom mdctn import core\n\nx = np.arange(6) # [0, 1, 2, 3, 4, 5]\n\ny_1 = core.mdct(x[0:4]) # [-2.50104055, -0.49476881]\ny_2 = core.mdct(x[2:6]) # [-4.34879961, -1.26013568]\n\nz_1 = core.imdct(y_1) # [-0.5, 0.5, 2.5, 2.5]\nz_2 = core.imdct(y_2) # [-0.5, 0.5, 4.5, 4.5]\n\nz = (z_1[2:4] + z_2[0:2]) # [2.0, 3.0]\n```\n\n### Benchmarks\n\nSee [benchmarks.ipynb](./benchmarks.ipynb)\n\n\n\n\n",
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