# PynyHTM
PynyHTM is a Cython based Python wrapper for [libtinyhtm](https://github.com/Caltech-IPAC/libtinyhtm/), the minimalistic hierarchal triangular mesh library.
*libtinyhtm*, developed by *Serge Monkewitz* and *Walter Landry* is based on prior work from *Alex Szalay*, *Gyorgy Fekete* and *Jim Gray* in [Searchable Sky Coverage of Astronomical Observations: Footprints and Exposures](https://doi.org/10.48550/arXiv.1005.2606) and [Indexing the Sphere with the Hierarchical Triangular Mesh](https://doi.org/10.48550/arXiv.cs/0701164).
Hierarchal triangular meshes(HTM) use the sub-division of triangles, which are projected onto a sphere, to elegantly and efficiently partition the earth or the sky into regions with different identifiers.
## Usage sample
The code snippets below are available in [this example file](example.py).
Classes `SphericalCoordinate` and `V3` cover basic functionality for expressing points in 3D space.
```python
from PynyHTM import HTM, SphericalCoordinate, Triangle, V3
# Retrieve HTM ID for a spherical coordinate
sc_1 = SphericalCoordinate(10.1234, -20.1234)
id = sc_1.get_htm_id(level=14)
print(f"HTM-ID for sc_1: {id} at level 14")
# >>> HTM-ID for sc_1: 3278525534 at level 14
# Convert spherical coordinate to vector
v_1 = sc_1.to_v3()
# Retrieve HTM ID for a V3 vector
v_2 = V3(0.1,0.2,0.3)
id = v_2.get_htm_id(level=3)
print(f"HTM-ID for v_2: {id} at level 3")
# >>> HTM-ID for v_2: 986 at level 3
# Conversion from vector to spherical coordinate
sc_2 = v_2.to_sc()
diff = sc_1.angle_separation(sc_2)
print(f"Angle between sc_1 and sc_2 (v2): {diff}")
# >>> Angle between sc_1 and sc_2 (v2): 78.05738774142326
```
Triangles, instantiated from the `Triangle` class provide additional information about a trixel within the HTM. They contain the three vertices which make up a Trixel as well as the center and more additional information.
```python
# Retrieve additional information about a triangle within the HTM
triangle = Triangle.from_id(id)
print(f"This triangle is in level {triangle.level}")
# >>> This triangle is in level 3
sc_center = triangle.center.to_sc()
print(f"The center is located at {sc_center}")
# >>> The center is located at SphericalCoordinate({'_latitude': 57.03662706265828, '_longitude': 59.20954536171413})
```
The `HTM` class contains more helpers to manage HTM identifiers.
```python
print(f"The Triangle with id {id} is located at level {HTM.get_level(id)}")
# >>> The Triangle with id 986 is located at level 3
print(f"The ID can also be expressed in it's subdivision form: {HTM.id_to_dec(id)}")
# >>> The ID can also be expressed in it's subdivision form: 23122
# Determine the children of a given triangle
children = HTM.children(id)
print(f"Children of {id}: {children}")
# >>> Children of 986: [3944, 3945, 3946, 3947]
# Determine the parent of a given id
parent = HTM.parent(id)
print(f"Parent of {id}: {parent}")
# >>> Parent of 986: 246
# Determine neighbors of a given triangle
neighbors = HTM.neighbors(id)
print(f"The neighbors of {id} are: {neighbors}")
# >>> The neighbors of 986 are: [987, 988, 1017]
# Search IDs within a circle around a given point
ids = HTM.circle_search(center=v_1, radius=0.5, level=7)
print(f"{ids} are located near center with radius 0.5")
# >>> [200104, 200105, 200106, 200107, 200108, 200134] are located near center with radius 0.5
```
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"description": "# PynyHTM\n\nPynyHTM is a Cython based Python wrapper for [libtinyhtm](https://github.com/Caltech-IPAC/libtinyhtm/), the minimalistic hierarchal triangular mesh library.\n*libtinyhtm*, developed by *Serge Monkewitz* and *Walter Landry* is based on prior work from *Alex Szalay*, *Gyorgy Fekete* and *Jim Gray* in [Searchable Sky Coverage of Astronomical Observations: Footprints and Exposures](https://doi.org/10.48550/arXiv.1005.2606) and [Indexing the Sphere with the Hierarchical Triangular Mesh](https://doi.org/10.48550/arXiv.cs/0701164).\n\nHierarchal triangular meshes(HTM) use the sub-division of triangles, which are projected onto a sphere, to elegantly and efficiently partition the earth or the sky into regions with different identifiers.\n\n## Usage sample\n\nThe code snippets below are available in [this example file](example.py).\nClasses `SphericalCoordinate` and `V3` cover basic functionality for expressing points in 3D space.\n\n```python\nfrom PynyHTM import HTM, SphericalCoordinate, Triangle, V3\n\n# Retrieve HTM ID for a spherical coordinate\nsc_1 = SphericalCoordinate(10.1234, -20.1234)\nid = sc_1.get_htm_id(level=14)\nprint(f\"HTM-ID for sc_1: {id} at level 14\")\n# >>> HTM-ID for sc_1: 3278525534 at level 14\n\n# Convert spherical coordinate to vector\nv_1 = sc_1.to_v3()\n\n# Retrieve HTM ID for a V3 vector\nv_2 = V3(0.1,0.2,0.3)\nid = v_2.get_htm_id(level=3)\nprint(f\"HTM-ID for v_2: {id} at level 3\")\n# >>> HTM-ID for v_2: 986 at level 3\n\n# Conversion from vector to spherical coordinate\nsc_2 = v_2.to_sc()\n\ndiff = sc_1.angle_separation(sc_2)\nprint(f\"Angle between sc_1 and sc_2 (v2): {diff}\")\n# >>> Angle between sc_1 and sc_2 (v2): 78.05738774142326\n```\n\nTriangles, instantiated from the `Triangle` class provide additional information about a trixel within the HTM. They contain the three vertices which make up a Trixel as well as the center and more additional information.\n\n```python\n# Retrieve additional information about a triangle within the HTM\ntriangle = Triangle.from_id(id)\nprint(f\"This triangle is in level {triangle.level}\")\n# >>> This triangle is in level 3\n\nsc_center = triangle.center.to_sc()\nprint(f\"The center is located at {sc_center}\")\n# >>> The center is located at SphericalCoordinate({'_latitude': 57.03662706265828, '_longitude': 59.20954536171413})\n```\n\nThe `HTM` class contains more helpers to manage HTM identifiers.\n\n```python\n\nprint(f\"The Triangle with id {id} is located at level {HTM.get_level(id)}\")\n# >>> The Triangle with id 986 is located at level 3\n\nprint(f\"The ID can also be expressed in it's subdivision form: {HTM.id_to_dec(id)}\")\n# >>> The ID can also be expressed in it's subdivision form: 23122\n\n# Determine the children of a given triangle\nchildren = HTM.children(id)\nprint(f\"Children of {id}: {children}\")\n# >>> Children of 986: [3944, 3945, 3946, 3947]\n\n# Determine the parent of a given id\nparent = HTM.parent(id)\nprint(f\"Parent of {id}: {parent}\")\n# >>> Parent of 986: 246\n\n# Determine neighbors of a given triangle\nneighbors = HTM.neighbors(id)\nprint(f\"The neighbors of {id} are: {neighbors}\")\n# >>> The neighbors of 986 are: [987, 988, 1017]\n\n# Search IDs within a circle around a given point\nids = HTM.circle_search(center=v_1, radius=0.5, level=7)\nprint(f\"{ids} are located near center with radius 0.5\")\n# >>> [200104, 200105, 200106, 200107, 200108, 200134] are located near center with radius 0.5\n```\n",
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