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105 Commits
0.2.0 ... 0.4.0

Author SHA1 Message Date
Carla Iriberri
02c98443be Merge branch 'master' of https://github.com/CartoDB/crankshaft 2016-08-30 12:30:57 +02:00
Carla Iriberri
a42eb400d8 Release crankshaft 0.4.0 2016-08-30 12:30:39 +02:00
Carla
457f54007e crankshaft typo 2016-08-30 12:27:10 +02:00
Carla
e071d323d4 Merge pull request #84 from CartoDB/add-PIA
Add Pole of Inaccessibility [13]
2016-08-30 12:12:53 +02:00
Carla
23a576939b Merge pull request #90 from CartoDB/add-densify-tinmaps
Add densify / tinmaps functions [14] [15]
2016-08-30 12:12:26 +02:00
abelvm
2b75da1db2 fix test 2016-08-30 06:02:42 -04:00
abelvm
37eb85350d fix projection 2016-08-30 05:55:34 -04:00
abelvm
72ee1a6d48 missed files 2016-08-30 05:50:20 -04:00
abelvm
605e6e88ae remove redundant function 2016-08-30 05:47:20 -04:00
abelvm
7e88ca6c47 merge develop 2016-08-30 05:43:55 -04:00
Carla
c3e12036e7 Merge pull request #103 from CartoDB/add-contour
Add contour [19]
2016-08-30 11:35:15 +02:00
abelvm
ef436546b4 add cdb_utils 2016-08-29 11:26:02 -04:00
abelvm
fa14b8d9bb SRG test 2016-08-18 16:33:38 -04:00
abelvm
43d00a9976 Merge branch 'develop' of github.com:CartoDB/crankshaft into add-contour 2016-08-18 16:14:07 -04:00
abelvm
0f47659cf9 smart resolution guessing 2016-08-18 16:13:56 -04:00
Carla
5423684e46 Add 0.3.1 to NEWS.md 2016-08-18 18:03:31 +02:00
Carla
eeb3a01c62 Add instruction to update NEWS.md 2016-08-18 18:01:59 +02:00
Carla Iriberri
f127d4a18e Update 0.3.1 version with voronoi fix 2016-08-18 17:38:24 +02:00
Carla Iriberri
9016e5f35e Merge branch 'develop' 2016-08-18 17:35:36 +02:00
Carla
66a0c80aee Merge pull request #114 from CartoDB/add-voronoi
[FIX] Voronoi spurious segments [09]
2016-08-18 17:30:01 +02:00
abelvm
1061c85405 doc example fixed 2016-08-18 11:16:12 -04:00
abelvm
6fc460f6db removed spikes 2016-08-18 10:16:26 -04:00
abelvm
ce86c4c5b4 removed spikes 2016-08-18 10:12:15 -04:00
abelvm
4352d3ded7 removed spurious segments 2016-08-18 09:36:15 -04:00
abelvm
cd0a802aff Merge branch 'develop' of github.com:CartoDB/crankshaft into add-voronoi 2016-08-18 09:31:14 -04:00
abelvm
6fe467366a removed spurious segments 2016-08-18 09:31:08 -04:00
Carla
2963afd711 Rename crankshaft--0.3.0-0.3.1.sql to crankshaft--0.3.0--0.3.1.sql 2016-08-18 10:43:43 +02:00
Carla
dd6e116da9 Rebranding 2016-08-18 10:35:54 +02:00
Carla Iriberri
aa745f67db Release 0.3.1 2016-08-18 10:34:52 +02:00
Carla
c668a82fcf Merge pull request #112 from CartoDB/add-voronoi
[Hot Fix] Voronoi projection issue [09]
2016-08-18 10:13:53 +02:00
Carla
cfacda5799 Merge pull request #106 from CartoDB/add-interpolation
[Add interpolation] Tests for the three methods [08]
2016-08-18 10:13:36 +02:00
abelvm
cbc505a62b fix test out 2016-08-17 12:51:34 -04:00
abelvm
e9ce87fb99 fix test out 2016-08-17 12:43:44 -04:00
abelvm
d67f3951a7 fix test 2016-08-17 12:32:17 -04:00
abelvm
3ddcd4ed2d Merge branch 'develop' of github.com:CartoDB/crankshaft into add-voronoi 2016-08-17 12:22:30 -04:00
abelvm
94497cd791 fix projection issues 2016-08-17 12:22:22 -04:00
Rafa de la Torre
cf38cb43c0 Update RELEASE.md
Add a couple of additional steps
2016-08-17 10:58:12 +02:00
Carla
c16a364254 Fixes markdown style 2016-08-17 10:41:13 +02:00
Carla
990e714685 Fixes markdown style 2016-08-17 10:39:53 +02:00
Rafa de la Torre
1889c52578 Add generated files for v0.3.0 2016-08-17 10:36:50 +02:00
Rafa de la Torre
fba043e832 Update NEWS and default version for v0.3.0 2016-08-17 10:35:01 +02:00
Rafa de la Torre
5dcbbe0429 Merge pull request #81 from CartoDB/add-voronoi
Add voronoi [09]
2016-08-17 10:28:02 +02:00
Rafa de la Torre
c181bfa72e Small fix for type checking 2016-08-17 10:21:07 +02:00
abelvm
b7a412fa4d fixed spaces 2016-08-16 14:17:14 -04:00
abelvm
f6cedd7c86 fixed spaces 2016-08-16 14:05:53 -04:00
abelvm
0ea060a698 added srid to tests 2016-08-16 13:56:01 -04:00
abelvm
ed6ecd0fef added schema 2016-08-16 13:29:55 -04:00
abelvm
0afb39fb1d Merge branch 'develop' of github.com:CartoDB/crankshaft into add-contour 2016-08-16 13:15:20 -04:00
abelvm
bae3362b59 added CDB stuff 2016-08-16 13:15:13 -04:00
abelvm
edeac18389 changed test 2016-08-16 13:02:28 -04:00
abelvm
e2f8c67034 test->avg area 2016-08-16 12:54:15 -04:00
abelvm
250f932915 add CDB_dependencies 2016-08-16 11:35:15 -04:00
abelvm
2c373dd9c7 add CDB_dependencies 2016-08-16 11:28:34 -04:00
abelvm
6b4b04d9a3 Merge branch 'develop' of github.com:CartoDB/crankshaft into add-PIA 2016-08-16 11:16:59 -04:00
abelvm
8a529fc956 add CDB_dependencies 2016-08-16 11:16:51 -04:00
abelvm
756db707b5 fix results 2016-08-16 11:08:17 -04:00
abelvm
5b8f7c4cd5 add schema 2016-08-16 11:01:25 -04:00
abelvm
51b8da5bf8 add full tests 2016-08-16 10:44:13 -04:00
abelvm
630965605c add full tests 2016-08-16 10:41:54 -04:00
abelvm
14e5ca4b22 add full tests 2016-08-16 10:40:32 -04:00
Rafa de la Torre
ebbf68af57 Merge pull request #101 from CartoDB/fix-interpolation
HOTFIX barycenter method
2016-08-16 10:09:17 +02:00
abelvm
cb39d1830d 2nd commit 2016-08-15 17:23:52 -04:00
abelvm
5b6d2c568b first commit 2016-08-15 17:15:36 -04:00
abelvm
7914fcdb87 fix barycenter method 2016-08-15 16:32:25 -04:00
abelvm
317f7f2fa6 change results 2016-08-12 14:10:57 -04:00
abelvm
e95374646f change force2d signature 2016-08-12 13:54:54 -04:00
abelvm
5c207d9ec0 test 2016-08-12 13:48:55 -04:00
abelvm
8430b98931 Merge branch 'develop' of github.com:CartoDB/crankshaft into add-voronoi 2016-08-12 13:47:56 -04:00
abelvm
644542e5df fixed internals 2016-08-12 13:34:29 -04:00
Rafa de la Torre
7f6766b6c1 Merge pull request #99 from CartoDB/update-process-docs
Update process docs
2016-08-12 19:14:59 +02:00
Rafa de la Torre
8953bf92ee Update release process 2016-08-12 18:56:03 +02:00
Rafa de la Torre
065dc476b4 Revamp the dev process 2016-08-12 18:34:13 +02:00
Rafa de la Torre
170260b7f5 Revamp the dev process 2016-08-12 18:17:13 +02:00
Rafa de la Torre
a6b5f74d67 Merge pull request #95 from CartoDB/master
merging release 0.2.0 back to development
2016-08-12 17:00:07 +02:00
abelvm
66f4dfa4ea spaces again 2016-08-10 14:39:31 -04:00
abelvm
60eb316cbe spaces again 2016-08-10 14:32:59 -04:00
abelvm
592eb68d42 tests rectangle grid 2016-08-10 14:15:22 -04:00
abelvm
b80324c0d1 tests rectangle grid 2016-08-10 14:06:28 -04:00
abelvm
7c2d160da0 tests rectangle grid 2016-08-10 13:58:37 -04:00
abelvm
01b0efd82b tests spaces 2016-08-10 13:55:22 -04:00
abelvm
749953931c tests spaces 2016-08-10 13:54:11 -04:00
abelvm
4986743ce9 tests spaces 2016-08-10 13:52:00 -04:00
abelvm
8ea1f2edea tests IN 2016-08-10 13:33:45 -04:00
abelvm
3284ed19a5 tests 2016-08-10 13:32:55 -04:00
abelvm
a31921409c Merge branch 'develop' of github.com:CartoDB/crankshaft into add-densify-tinmaps 2016-08-10 13:25:58 -04:00
abelvm
0b2caa48e9 fixed tests 2016-08-10 13:22:10 -04:00
abelvm
75a0e54849 fixed tests 2016-08-10 12:23:32 -04:00
abelvm
667bdb79a2 fixed tests 2016-08-10 12:16:36 -04:00
abelvm
613cdb4c6f fixed tests 2016-08-10 12:15:50 -04:00
abelvm
d88c967bb7 fixed tests 2016-08-10 12:13:55 -04:00
abelvm
2d8d5e8c2e check tests 2016-08-09 14:09:45 -04:00
abelvm
358202d324 check tests 2016-08-09 13:03:24 -04:00
abelvm
3becd449c2 check tests 2016-08-09 13:02:23 -04:00
abelvm
b5142002e9 Merge branch 'add-voronoi' of github.com:CartoDB/crankshaft into add-voronoi 2016-08-09 13:01:22 -04:00
abelvm
8c273a53bc check tests 2016-08-09 13:01:05 -04:00
abelvm
5f339a01f7 recommit from postgresql repo 2016-08-09 12:09:19 -04:00
abelvm
132f4bbda9 Merge branch 'develop' of github.com:CartoDB/crankshaft into add-densify-tinmaps 2016-08-09 10:58:08 -04:00
Rafa de la Torre
4fdb28e2df Merge remote-tracking branch 'origin/develop' into add-PIA 2016-08-09 16:24:51 +02:00
Rafa de la Torre
c7788b7b2c Merge remote-tracking branch 'origin/develop' into add-voronoi 2016-08-09 16:21:04 +02:00
abelvm
15aad5a695 clean 2016-07-14 15:46:09 +02:00
abelvm
0eca26d515 performance x20 2016-07-14 15:07:45 +02:00
abelvm
27971711b5 Merge branch 'add-PIA' of github.com:CartoDB/crankshaft into add-PIA 2016-07-12 15:49:15 +02:00
abelvm
cb3a49594d add PIA, first commit 2016-07-12 15:48:38 +02:00
abelvm
e84dc30b77 format 2016-06-30 16:11:28 +02:00
abelvm
55f8626901 add files 2016-06-30 16:09:13 +02:00
111 changed files with 15068 additions and 190 deletions

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.brackets.json Normal file
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{
"sbruchmann.staticpreview.basepath": "/home/carto/Projects/crankshaft/"
}

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# Development process
Please read the Working Process/Quickstart Guide in [README.md](https://github.com/CartoDB/crankshaft/blob/master/README.md) first.
For any modification of crankshaft, such as adding new features,
refactoring or bug-fixing, topic branch must be created out of the `develop`
branch and be used for the development process.
refactoring or bugfixing, a topic branch must be created out of the `develop`.
Modifications are done inside `src/pg/sql` and `src/py/crankshaft`.
@@ -14,80 +11,47 @@ Take into account:
(inside `src/pg/test`, `src/py/crankshaft/test`) as well as to
detect any bugs that are being fixed.
* Add or modify the corresponding documentation files in the `doc` folder.
Since we expect to have highly technical functions here, an extense
background explanation would be of great help to users of this extension.
* Convention: snake case(i.e. `snake_case` and not `CamelCase`)
shall be used for all function names.
Prefix function names intended for public use with `cdb_`
and private functions (to be used only internally inside
the extension) with `_cdb_`.
* Naming conventions for function names:
- use `CamelCase`
- prefix "public" functions with `CDB_`. E.g: `CDB_SpatialMarkovTrend`
- prefix "private" functions with an underscore. E.g: `_CDB_MyObscureInternalImplementationDetail`
Once the code is ready to be tested, update the local development installation
with `sudo make install`.
This will update the 'dev' version of the extension in `src/pg/` and
make it available to PostgreSQL.
It will also install the python package (crankshaft) in a virtual
environment `env/dev`.
The version number of the Python package, defined in
`src/pg/crankshaft/setup.py` will be overridden when
the package is released and always match the extension version number,
but for development it shall be kept as '0.0.0'.
Run the tests with `make test`.
To use the python extension for custom tests, activate the virtual
environment with:
```
source envs/dev/bin/activate
```
Update extension in a working database with:
* `ALTER EXTENSION crankshaft UPDATE TO 'current';`
`ALTER EXTENSION crankshaft UPDATE TO 'dev';`
Note: we keep the current development version install as 'dev' always;
we update through the 'current' alias to allow changing the extension
contents but not the version identifier. This will fail if the
changes involve incompatible function changes such as a different
return type; in that case the offending function (or the whole extension)
should be dropped manually before the update.
```sql
ALTER EXTENSION crankshaft UPDATE TO 'current';
ALTER EXTENSION crankshaft UPDATE TO 'dev';
```
If the extension has not previously been installed in a database,
it can be installed directly with:
* `CREATE EXTENSION IF NOT EXISTS plpythonu;`
`CREATE EXTENSION IF NOT EXISTS postgis;`
`CREATE EXTENSION crankshaft WITH VERSION 'dev';`
Note: the development extension uses the development python virtual
environment automatically.
Before proceeding to the release process peer code reviewing of the code is
a must.
```sql
CREATE EXTENSION IF NOT EXISTS plpythonu;
CREATE EXTENSION IF NOT EXISTS postgis;
CREATE EXTENSION crankshaft WITH VERSION 'dev';
```
Once the feature or bugfix is completed and all the tests are passing
a Pull-Request shall be created on the topic branch, reviewed by a peer
and then merged back into the `develop` branch when all CI tests pass.
a pull request shall be created, reviewed by a peer
and then merged back into the `develop` branch once all the CI tests pass.
When the changes in the `develop` branch are to be released in a new
version of the extension, a PR must be created on the `develop` branch.
The release manage will take hold of the PR at this moment to proceed
to the release process for a new revision of the extension.
## Relevant development targets in the Makefile
## Relevant development tasks available in the Makefile
```shell
# Show a short description of the available targets
make help
```
* `make help` show a short description of the available targets
* `sudo make install` will generate the extension scripts for the development
version ('dev'/'current') and install the python package into the
development virtual environment `envs/dev`.
Intended for use by developers.
* `make test` will run the tests for the installed development extension.
Intended for use by developers.
# Generate the extension scripts and install the python package.
sudo make install
# Run the tests against the installed extension.
make test
```

11
NEWS.md
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0.3.1 (2016-08-18)
------------------
* Fix Voronoi projection issue
* Fix Voronoi spurious segments issue
* Add tests for interpolation
0.3.0 (2016-08-17)
------------------
* Adds Voronoi function
* Fixes barycenter method in interpolation
0.2.0 (2016-08-11)
------------------
* Adds Gravity Model

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# crankshaft [![Build Status](https://travis-ci.org/CartoDB/crankshaft.svg?branch=develop)](https://travis-ci.org/CartoDB/crankshaft)
# Crankshaft [![Build Status](https://travis-ci.org/CartoDB/crankshaft.svg?branch=develop)](https://travis-ci.org/CartoDB/crankshaft)
CartoDB Spatial Analysis extension for PostgreSQL.
CARTO Spatial Analysis extension for PostgreSQL.
## Code organization
* *doc* documentation
* *src* source code
* - *src/pg* contains the PostgreSQL extension source code
* - *src/py* Python module source code
* *release* reseleased versions
* `doc/` documentation
* `src/` source code
- `pg/` contains the PostgreSQL extension source code
- `py/` Python module source code
* `release` reseleased versions
## Requirements
* pip, PostgreSQL
* python-scipy system package (see [src/py/README.md](https://github.com/CartoDB/crankshaft/blob/master/src/py/README.md))
* PostgreSQL
* plpythonu and postgis extensions
* python-scipy system package (see [src/py/README.md](https://github.com/CartoDB/crankshaft/blob/develop/src/py/README.md))
# Working Process -- Quickstart Guide
# Development Process
We distinguish two roles regarding the development cycle of crankshaft:
We distinguish two roles:
* *developers* will implement new functionality and bugfixes into
the codebase and will request for new releases of the extension.
* A *release manager* will attend these requests and will handle
the release process. The release process is sequential:
no concurrent releases will ever be in the works.
the codebase.
* A *release manager* will handle the release process.
We use the default `develop` branch as the basis for development.
The `master` branch is used to merge and tag releases to be
deployed in production.
We use the branch `develop` as the main integration branch for development. The `master` is reserved to handle releases.
Developers shall create a new topic branch from `develop` for any new feature
or bugfix and commit their changes to it and eventually merge back into
the `develop` branch. When a new release is required a Pull Request
will be open against the `develop` branch.
The process is as follows:
1. Create a new **topic branch** from `develop` for any new feature
or bugfix and commit their changes to it:
```shell
git fetch && git checkout -b my-cool-feature origin/develop
```
1. Code, commit, push, repeat.
1. Write some **tests** for your feature or bugfix.
1. Update the [NEWS.md](https://github.com/CartoDB/crankshaft/blob/develop/NEWS.md) doc.
1. Create a pull request and mention relevant people for a **peer review**.
1. Address the comments and improvements you get from the peer review.
1. Mention `@CartoDB/dataservices` in the PR to get it merged into `develop`.
In order for a pull request to be accepted, the following criteria should be met:
* The peer review should pass and no major issue should be left unaddressed.
* CI tests must pass (travis will take care of that).
The `develop` pull requests will be handled by the release manage,
who will merge into master where new releases are prepared and tagged.
The `master` branch is the sole responsibility of the release masters
and developers must not commit or merge into it.
## Development Guidelines
For a detailed description of the development process please see
the [CONTRIBUTING.md](https://github.com/CartoDB/crankshaft/blob/master/CONTRIBUTING.md) guide.
the [CONTRIBUTING.md](https://github.com/CartoDB/crankshaft/blob/develop/CONTRIBUTING.md) guide.
Any modification to the source code (`src/pg/sql` for the SQL extension,
`src/py/crankshaft` for the Python package) shall always be done
in a topic branch created from the `develop` branch.
Tests, documentation and peer code reviewing are required for all
modifications.
## Testing
The tests (both for SQL and Python) are executed by running,
from the top directory:
The tests (both for SQL and Python) are executed by running, from the top directory:
```
```shell
sudo make install
make test
```
To request a new release, which will be handled by them
release manager, a Pull Request must be created in the `develop`
branch.
## Release
The release and deployment process is described in the
[RELEASE.md](https://github.com/CartoDB/crankshaft/blob/master/RELEASE.md) guide and it is the responsibility of the designated
release manager.
The release process is described in the
[RELEASE.md](https://github.com/CartoDB/crankshaft/blob/develop/RELEASE.md) guide and is the responsibility of the designated *release manager*.

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# Release & Deployment Process
Please read the Working Process/Quickstart Guide in README.md
and the Development guidelines in CONTRIBUTING.md.
The release process of a new version of the extension
shall be performed by the designated *Release Manager*.
Note that we expect to gradually automate more of this process.
## Release steps
1. Make sure `develop` branch passes all the tests.
1. Merge `develop` into `master`
1. Update the version number in `src/pg/crankshaft.control`.
1. Generate the next release files with this command:
Having checked PR to be released it shall be
merged back into the `master` branch to prepare the new release.
```shell
make release
```
1. Generate an upgrade path from the previous to the next release by copying the generated release file. E.g:
The version number in `pg/cranckshaft.control` must first be updated.
To do so [Semantic Versioning 2.0](http://semver.org/) is in order.
```shell
cp release/crankshaft--X.Y.Z.sql release/crankshaft--A.B.C--X.Y.Z.sql
```
NOTE: you can rely on this thanks to the compatibility checks.
TODO: automate this step [#94](https://github.com/CartoDB/crankshaft/issues/94)
1. Commit and push the generated files.
1. Tag the release:
Thew `NEWS.md` will be updated.
```
git tag -a X.Y.Z -m "Release X.Y.Z"
git push origin X.Y.Z
```
1. Deploy and test in staging
1. Deploy and test in production
2. Update the [NEWS.md](https://github.com/CartoDB/crankshaft/blob/master/NEWS.md) file
1. Merge back into develop
We now will explain the process for the case of backwards-compatible
releases (updating the minor or patch version numbers).
TODO: document the complex case of major releases.
## Some remarks
* Version numbers shall follow [Semantic Versioning 2.0](http://semver.org/).
* CI tests will take care of **forward compatibility** of the extension at postgres level.
* **Major version changes** (breaking forward compatibility) are a major event and are out of the scope of this doc. They **shall be avoided as much as we can**.
* We will go forward, never backwards. **Generating upgrade paths automatically is easy** and we'll rely on the CI checks for that.
The next command must be executed to produce the main installation
script for the new release, `release/cranckshaft--X.Y.Z.sql` and
also to copy the python package to `release/python/X.Y.Z/crankshaft`.
```
make release
```
Then, the release manager shall produce upgrade and downgrade scripts
to migrate to/from the previous release. In the case of minor/patch
releases this simply consist in extracting the functions that have changed
and placing them in the proper `release/cranckshaft--X.Y.Z--A.B.C.sql`
file.
## Deploy commands
The new release can be deployed for staging/smoke tests with this command:
```
sudo make deploy
```
```shell
sudo make deploy
```
This will copy the current 'X.Y.Z' released version of the extension to
PostgreSQL. The corresponding Python extension will be installed in a
virtual environment in `envs/X.Y.Z`.
To install a specific version 'X.Y.Z' different from the default one:
It can be activated with:
```
source envs/X.Y.Z/bin/activate
```
But note that this is needed only for using the package directly;
the 'X.Y.Z' version of the extension will automatically use the
python package from this virtual environment.
The `sudo make deploy` operation can be also used for installing
the new version after it has been released.
To install a specific version 'X.Y.Z' different from the current one
(which must be present in `releases/`) you can:
```
sudo make deploy RELEASE_VERSION=X.Y.Z
```
TODO: testing procedure for the new release.
TODO: procedure for staging deployment.
TODO: procedure for merging to master, tagging and deploying
in production.
## Relevant release & deployment tasks available in the Makefile
```
* `make help` show a short description of the available targets
* `make release` will generate a new release (version number defined in
`src/pg/crankshaft.control`) into `release/`.
Intended for use by the release manager.
* `sudo make deploy` will install the current release X.Y.Z from the
`release/` files into PostgreSQL and a Python virtual environment
`envs/X.Y.Z`.
Intended for use by the release manager and deployment jobs.
* `sudo make deploy RELEASE_VERSION=X.Y.Z` will install specified version
previously generated in `release/`
into PostgreSQL and a Python virtual environment `envs/X.Y.Z`.
Intended for use by the release manager and deployment jobs.
```
```shell
sudo make deploy RELEASE_VERSION=X.Y.Z
```

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## Voronoi
Function to construct the [Voronoi Diagram](https://en.wikipedia.org/wiki/Voronoi_diagram) from a dataset of scatter points, clipped to the significant area
PostGIS wil include this in future versions ([doc for dev branch](http://postgis.net/docs/manual-dev/ST_Voronoi.html)) and will perform faster for sure, but in the meantime...
### CDB_Voronoi (geom geometry[], buffer numeric DEFAULT 0.5, tolerance numeric DEFAULT 1e-9)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geom | geometry[] | Array of points's geometries |
| buffer | numeric | enlargment ratio for the envelope area used for the restraints|
| tolerance | numeric | Delaunay tolerance, optional |
### Returns
| Column Name | Type | Description |
|-------------|------|-------------|
| geom | geometry collection | Collection of polygons of the Voronoi cells|
#### Example Usage
```sql
WITH a AS (
SELECT
ARRAY[ST_GeomFromText('POINT(2.1744 41.403)', 4326),ST_GeomFromText('POINT(2.1228 41.380)', 4326),ST_GeomFromText('POINT(2.1511 41.374)', 4326),ST_GeomFromText('POINT(2.1528 41.413)', 4326),ST_GeomFromText('POINT(2.165 41.391)', 4326),ST_GeomFromText('POINT(2.1498 41.371)', 4326),ST_GeomFromText('POINT(2.1533 41.368)', 4326),ST_GeomFromText('POINT(2.131386 41.41399)', 4326)] AS geomin
)
SELECT
st_transform(
(st_dump(CDB_voronoi(geomin, 0.2, 1e-9)
)).geom
, 3857) as the_geom_webmercator
FROM a;
```

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## Pole of inaccessibility (PIA)
Function to find the [PIA](https://en.wikipedia.org/wiki/Pole_of_inaccessibility) from a given polygon and tolerance, following the quadtree approach by [Vladimir Agafonkin](https://github.com/mourner) described [here](https://github.com/mapbox/polylabel)
### CDB_PIA (polygon geometry, tolerance numeric DEFAULT 1.0)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| polygon | geometry | Target polygon |
| tolerance | numeric | Threshold to decide to take a cell into account |
### Returns
| Column Name | Type | Description |
|-------------|------|-------------|
| point | geometry| Pole of inaccessibility |
#### Example Usage
```sql
with a as(
select st_geomfromtext('POLYGON((-432540.453078056 4949775.20452642,-432329.947920966 4951361.232584,-431245.028163694 4952223.31516671,-429131.071033529 4951768.00415574,-424622.07505895 4952843.13503987,-423688.327170174 4953499.20752423,-424086.294349759 4954968.38274191,-423068.388925945 4954378.63345336,-423387.653225542 4953355.67417084,-420594.869840519 4953781.00230592,-416026.095299382 4951484.06849063,-412483.018546414 4951024.5410983,-410490.399661215 4954502.24032205,-408186.197521284 4956398.91417441,-407627.262358013 4959300.94633864,-406948.770061627 4959874.85407739,-404949.583326472 4959047.74518163,-402570.908447199 4953743.46829807,-400971.358683991 4952193.11680804,-403533.488084088 4949649.89857885,-406335.177028373 4950193.19571096,-407790.456731515 4952391.46015616,-412060.672398345 4950381.2389307,-410716.93482498 4949156.7509561,-408464.162289794 4943912.8940387,-409350.599394983 4942819.84896006,-408087.791091424 4942451.6711778,-407274.045613725 4940572.4807777,-404446.196589102 4939976.71501489,-402422.964843936 4940450.3670813,-401010.654464241 4939054.8061663,-397647.247369412 4940679.80737878,-395658.413346901 4940528.84765185,-395536.852462953 4938829.79565997,-394268.923462818 4938003.7277717,-393388.720249116 4934757.80596815,-392393.301362444 4934326.71675815,-392573.527618037 4932323.40974412,-393464.640141837 4931903.10653605,-393085.597275686 4931094.7353605,-398426.261165985 4929156.87541607,-398261.174361137 4926238.00816416,-394045.059966834 4925765.18668498,-392982.960705174 4926391.81893628,-393090.272694301 4927176.84692181,-391648.240010564 4924626.06386961,-391889.914625075 4923086.14787613,-394345.177314013 4923235.086036,-395550.878718795 4917812.79243978,-399009.463978251 4912927.7157945,-398948.794855767 4911941.91010796,-398092.636652078 4911806.57392519,-401991.601817112 4911722.9204501,-406225.972607907 4914505.47286319,-411104.994569885 4912569.26941163,-412925.513522316 4913030.3608866,-414630.148884835 4914436.69169949,-414207.691417276 4919205.78028405,-418306.141109809 4917994.9580478,-424184.700779621 4918938.12432889,-426816.961458921 4923664.37379373,-420956.324227126 4923381.98014807,-420186.661267781 4924286.48693378,-420943.411166194 4926812.76394433,-419779.45457046 4928527.43466337,-419768.767899344 4930681.94459216,-421911.668097113 4930432.40620397,-423482.386112205 4933451.28047252,-427272.814773717 4934151.56473242,-427144.908678797 4939731.77191996,-428982.125554848 4940522.84445172,-428986.133056516 4942437.17281266,-431237.792396792 4947309.68284815,-432476.889648814 4947791.74800037,-432540.453078056 4949775.20452642))', 3857) as g
),
b as (
select ST_Transform(g, 4326) as g from a
)
SELECT st_astext(CDB_PIA(g)) from b;
```

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## Densify function
Iterative densification of a set of scattered points using Delaunay triangulation. The new points are located at the centroids of the grid cells and have as assigned value the barycentric average value of the cell's vertex.
### CDB_Densify(geomin geometry[], colin numeric[], iterations integer)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geomin | geometry[] | Array of points geometries |
| colin | numeric[] | Array of points' values |
| iterations | integer | Number of iterations |
### Returns
Returns a table object
| Name | Type | Description |
|------|------|-------------|
| geomout | geometry | Geometries of new dataset of points|
| colout | numeric | Values of points|
#### Example Usage
```sql
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_Densify(geomin, colin, 2) from data;
```

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## TINMAP function
Generates a fake contour map, in the form of a TIN map, from a set of scattered points.Depends on **CDB_Densify**.
Its iterative nature let's the user smooth the final result as much as desired, but with a exponential time cost increase
### CDB_TINmap(geomin geometry[], colin numeric[], iterations integer)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geomin | geometry[] | Array of points geometries |
| colin | numeric[] | Array of points' values |
| iterations | integer | Number of iterations |
### Returns
Returns a table object
| Name | Type | Description |
|------|------|-------------|
| geomout | geometry | Geometries of new dataset of polygons|
| colout | numeric | Values of each cell|
#### Example Usage
```sql
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_TINmap(geomin, colin, 2) from data;
```

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## Contour maps
Function to generate a contour map from an scatter dataset of points, using one of three methos:
* [Nearest neighbor](https://en.wikipedia.org/wiki/Nearest-neighbor_interpolation)
* [Barycentric](https://en.wikipedia.org/wiki/Barycentric_coordinate_system)
* [IDW](https://en.wikipedia.org/wiki/Inverse_distance_weighting)
### CDB_Contour (geom geometry[], values numeric[], resolution integer, buffer numeric, method, classmethod integer, steps integer)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geom | geometry[] | Array of points's geometries |
| values | numeric[] | Array of points' values for the param under study|
| buffer | numeric | Value between 0 and 1 for spatial buffer of the set of points
| method | integer | 0:nearest neighbor, 1: barycentric, 2: IDW|
| classmethod | integer | 0:equals, 1: heads&tails, 2:jenks, 3:quantiles |
| steps | integer | Number of steps in the classification|
| max_time | integer | Max time in millisecons for processing time
### Returns
Returns a table object
| Name | Type | Description |
|------|------|-------------|
| the_geom | geometry | Geometries of the classified contour map|
| avg_value | numeric | Avg value of the area|
| min_value | numeric | Min value of the area|
| max_value | numeric | Max value of the areal|
| bin | integer | Index of the class of the area|
#### Example Usage
```sql
WITH a AS (
SELECT
ARRAY[800, 700, 600, 500, 400, 300, 200, 100]::numeric[] AS vals,
ARRAY[ST_GeomFromText('POINT(2.1744 41.403)',4326),ST_GeomFromText('POINT(2.1228 41.380)',4326),ST_GeomFromText('POINT(2.1511 41.374)',4326),ST_GeomFromText('POINT(2.1528 41.413)',4326),ST_GeomFromText('POINT(2.165 41.391)',4326),ST_GeomFromText('POINT(2.1498 41.371)',4326),ST_GeomFromText('POINT(2.1533 41.368)',4326),ST_GeomFromText('POINT(2.131386 41.41399)',4326)] AS g
),
b as(
SELECT
foo.*
FROM
a,
cdb_crankshaft.CDB_contour(a.g, a.vals, 0.0, 1, 3, 5, 60) foo
)
SELECT bin, avg_value from b order by bin;
```

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comment = 'CartoDB Spatial Analysis extension'
default_version = '0.2.0'
default_version = '0.4.0'
requires = 'plpythonu, postgis'
superuser = true
schema = cdb_crankshaft

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"""Import all modules"""
import crankshaft.random_seeds
import crankshaft.clustering
import crankshaft.space_time_dynamics
import crankshaft.segmentation

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"""Import all functions from for clustering"""
from moran import *
from kmeans import *

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from sklearn.cluster import KMeans
import plpy
def kmeans(query, no_clusters, no_init=20):
data = plpy.execute('''select array_agg(cartodb_id order by cartodb_id) as ids,
array_agg(ST_X(the_geom) order by cartodb_id) xs,
array_agg(ST_Y(the_geom) order by cartodb_id) ys from ({query}) a
where the_geom is not null
'''.format(query=query))
xs = data[0]['xs']
ys = data[0]['ys']
ids = data[0]['ids']
km = KMeans(n_clusters= no_clusters, n_init=no_init)
labels = km.fit_predict(zip(xs,ys))
return zip(ids,labels)

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"""
Moran's I geostatistics (global clustering & outliers presence)
"""
# TODO: Fill in local neighbors which have null/NoneType values with the
# average of the their neighborhood
import pysal as ps
import plpy
from collections import OrderedDict
# crankshaft module
import crankshaft.pysal_utils as pu
# High level interface ---------------------------------------
def moran(subquery, attr_name,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I (global)
Implementation building neighbors with a PostGIS database and Moran's I
core clusters with PySAL.
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", attr_name),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
attr_vals = pu.get_attributes(result)
## calculate weights
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global
moran_global = ps.esda.moran.Moran(attr_vals, weight,
permutations=permutations)
return zip([moran_global.I], [moran_global.EI])
def moran_local(subquery, attr,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I implementation for PL/Python
Andy Eschbacher
"""
# geometries with attributes that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("attr1", attr),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(5)
attr_vals = pu.get_attributes(result)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local(attr_vals, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Rate (global)
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", numerator),
("attr2", denominator)
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global rate
lisa_rate = ps.esda.moran.Moran_Rate(numer, denom, weight,
permutations=permutations)
return zip([lisa_rate.I], [lisa_rate.EI])
def moran_local_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Local Rate
Andy Eschbacher
"""
# geometries with values that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("numerator", numerator),
("denominator", denominator),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(5)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_Rate(numer, denom, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_local_bv(subquery, attr1, attr2,
permutations, geom_col, id_col, w_type, num_ngbrs):
"""
Moran's I (local) Bivariate (untested)
"""
plpy.notice('** Constructing query')
qvals = OrderedDict([("id_col", id_col),
("attr1", attr1),
("attr2", attr2),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(4)
except plpy.SPIError:
plpy.error("Error: areas of interest query failed, " \
"check input parameters")
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(4)
## collect attributes
attr1_vals = pu.get_attributes(result, 1)
attr2_vals = pu.get_attributes(result, 2)
# create weights
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_BV(attr1_vals, attr2_vals, weight,
permutations=permutations)
plpy.notice("len of Is: %d" % len(lisa.Is))
# find clustering of significance
lisa_sig = quad_position(lisa.q)
plpy.notice('** Finished calculations')
return zip(lisa.Is, lisa_sig, lisa.p_sim, weight.id_order)
# Low level functions ----------------------------------------
def map_quads(coord):
"""
Map a quadrant number to Moran's I designation
HH=1, LH=2, LL=3, HL=4
Input:
@param coord (int): quadrant of a specific measurement
Output:
classification (one of 'HH', 'LH', 'LL', or 'HL')
"""
if coord == 1:
return 'HH'
elif coord == 2:
return 'LH'
elif coord == 3:
return 'LL'
elif coord == 4:
return 'HL'
else:
return None
def quad_position(quads):
"""
Produce Moran's I classification based of n
Input:
@param quads ndarray: an array of quads classified by
1-4 (PySAL default)
Output:
@param list: an array of quads classied by 'HH', 'LL', etc.
"""
return [map_quads(q) for q in quads]

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"""Import all functions for pysal_utils"""
from crankshaft.pysal_utils.pysal_utils import *

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"""
Utilities module for generic PySAL functionality, mainly centered on
translating queries into numpy arrays or PySAL weights objects
"""
import numpy as np
import pysal as ps
def construct_neighbor_query(w_type, query_vals):
"""Return query (a string) used for finding neighbors
@param w_type text: type of neighbors to calculate ('knn' or 'queen')
@param query_vals dict: values used to construct the query
"""
if w_type.lower() == 'knn':
return knn(query_vals)
else:
return queen(query_vals)
## Build weight object
def get_weight(query_res, w_type='knn', num_ngbrs=5):
"""
Construct PySAL weight from return value of query
@param query_res dict-like: query results with attributes and neighbors
"""
# if w_type.lower() == 'knn':
# row_normed_weights = [1.0 / float(num_ngbrs)] * num_ngbrs
# weights = {x['id']: row_normed_weights for x in query_res}
# else:
# weights = {x['id']: [1.0 / len(x['neighbors'])] * len(x['neighbors'])
# if len(x['neighbors']) > 0
# else [] for x in query_res}
neighbors = {x['id']: x['neighbors'] for x in query_res}
print 'len of neighbors: %d' % len(neighbors)
built_weight = ps.W(neighbors)
built_weight.transform = 'r'
return built_weight
def query_attr_select(params):
"""
Create portion of SELECT statement for attributes inolved in query.
@param params: dict of information used in query (column names,
table name, etc.)
"""
attr_string = ""
template = "i.\"%(col)s\"::numeric As attr%(alias_num)s, "
if 'time_cols' in params:
## if markov analysis
attrs = params['time_cols']
for idx, val in enumerate(attrs):
attr_string += template % {"col": val, "alias_num": idx + 1}
else:
## if moran's analysis
attrs = [k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')]
for idx, val in enumerate(sorted(attrs)):
attr_string += template % {"col": params[val], "alias_num": idx + 1}
return attr_string
def query_attr_where(params):
"""
Construct where conditions when building neighbors query
Create portion of WHERE clauses for weeding out NULL-valued geometries
Input: dict of params:
{'subquery': ...,
'numerator': 'data1',
'denominator': 'data2',
'': ...}
Output: 'idx_replace."data1" IS NOT NULL AND idx_replace."data2" IS NOT NULL'
Input:
{'subquery': ...,
'time_cols': ['time1', 'time2', 'time3'],
'etc': ...}
Output: 'idx_replace."time1" IS NOT NULL AND idx_replace."time2" IS NOT
NULL AND idx_replace."time3" IS NOT NULL'
"""
attr_string = []
template = "idx_replace.\"%s\" IS NOT NULL"
if 'time_cols' in params:
## markov where clauses
attrs = params['time_cols']
# add values to template
for attr in attrs:
attr_string.append(template % attr)
else:
## moran where clauses
# get keys
attrs = sorted([k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')])
# add values to template
for attr in attrs:
attr_string.append(template % params[attr])
if len(attrs) == 2:
attr_string.append("idx_replace.\"%s\" <> 0" % params[attrs[1]])
out = " AND ".join(attr_string)
return out
def knn(params):
"""SQL query for k-nearest neighbors.
@param vars: dict of values to fill template
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE " \
"i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"%(attr_where_j)s " \
"ORDER BY " \
"j.\"{geom_col}\" <-> i.\"{geom_col}\" ASC " \
"LIMIT {num_ngbrs})" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## SQL query for finding queens neighbors (all contiguous polygons)
def queen(params):
"""SQL query for queen neighbors.
@param params dict: information to fill query
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"ST_Touches(i.\"{geom_col}\", j.\"{geom_col}\") AND " \
"%(attr_where_j)s)" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## to add more weight methods open a ticket or pull request
def get_attributes(query_res, attr_num=1):
"""
@param query_res: query results with attributes and neighbors
@param attr_num: attribute number (1, 2, ...)
"""
return np.array([x['attr' + str(attr_num)] for x in query_res], dtype=np.float)
def empty_zipped_array(num_nones):
"""
prepare return values for cases of empty weights objects (no neighbors)
Input:
@param num_nones int: number of columns (e.g., 4)
Output:
[(None, None, None, None)]
"""
return [tuple([None] * num_nones)]

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"""Random seed generator used for non-deterministic functions in crankshaft"""
import random
import numpy
def set_random_seeds(value):
"""
Set the seeds of the RNGs (Random Number Generators)
used internally.
"""
random.seed(value)
numpy.random.seed(value)

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from segmentation import *

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"""
Segmentation creation and prediction
"""
import sklearn
import numpy as np
import plpy
from sklearn.ensemble import GradientBoostingRegressor
from sklearn import metrics
from sklearn.cross_validation import train_test_split
# Lower level functions
#----------------------
def replace_nan_with_mean(array):
"""
Input:
@param array: an array of floats which may have null-valued entries
Output:
array with nans filled in with the mean of the dataset
"""
# returns an array of rows and column indices
indices = np.where(np.isnan(array))
# iterate through entries which have nan values
for row, col in zip(*indices):
array[row, col] = np.mean(array[~np.isnan(array[:, col]), col])
return array
def get_data(variable, feature_columns, query):
"""
Fetch data from the database, clean, and package into
numpy arrays
Input:
@param variable: name of the target variable
@param feature_columns: list of column names
@param query: subquery that data is pulled from for the packaging
Output:
prepared data, packaged into NumPy arrays
"""
columns = ','.join(['array_agg("{col}") As "{col}"'.format(col=col) for col in feature_columns])
try:
data = plpy.execute('''SELECT array_agg("{variable}") As target, {columns} FROM ({query}) As a'''.format(
variable=variable,
columns=columns,
query=query))
except Exception, e:
plpy.error('Failed to access data to build segmentation model: %s' % e)
# extract target data from plpy object
target = np.array(data[0]['target'])
# put n feature data arrays into an n x m array of arrays
features = np.column_stack([np.array(data[0][col], dtype=float) for col in feature_columns])
return replace_nan_with_mean(target), replace_nan_with_mean(features)
# High level interface
# --------------------
def create_and_predict_segment_agg(target, features, target_features, target_ids, model_parameters):
"""
Version of create_and_predict_segment that works on arrays that come stright form the SQL calling
the function.
Input:
@param target: The 1D array of lenth NSamples containing the target variable we want the model to predict
@param features: Thw 2D array of size NSamples * NFeatures that form the imput to the model
@param target_ids: A 1D array of target_ids that will be used to associate the results of the prediction with the rows which they come from
@param model_parameters: A dictionary containing parameters for the model.
"""
clean_target = replace_nan_with_mean(target)
clean_features = replace_nan_with_mean(features)
target_features = replace_nan_with_mean(target_features)
model, accuracy = train_model(clean_target, clean_features, model_parameters, 0.2)
prediction = model.predict(target_features)
accuracy_array = [accuracy]*prediction.shape[0]
return zip(target_ids, prediction, np.full(prediction.shape, accuracy_array))
def create_and_predict_segment(query, variable, target_query, model_params):
"""
generate a segment with machine learning
Stuart Lynn
"""
## fetch column names
try:
columns = plpy.execute('SELECT * FROM ({query}) As a LIMIT 1 '.format(query=query))[0].keys()
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
## extract column names to be used in building the segmentation model
feature_columns = set(columns) - set([variable, 'cartodb_id', 'the_geom', 'the_geom_webmercator'])
## get data from database
target, features = get_data(variable, feature_columns, query)
model, accuracy = train_model(target, features, model_params, 0.2)
cartodb_ids, result = predict_segment(model, feature_columns, target_query)
accuracy_array = [accuracy]*result.shape[0]
return zip(cartodb_ids, result, accuracy_array)
def train_model(target, features, model_params, test_split):
"""
Train the Gradient Boosting model on the provided data and calculate the accuracy of the model
Input:
@param target: 1D Array of the variable that the model is to be trianed to predict
@param features: 2D Array NSamples * NFeatures to use in trining the model
@param model_params: A dictionary of model parameters, the full specification can be found on the
scikit learn page for [GradientBoostingRegressor](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.GradientBoostingRegressor.html)
@parma test_split: The fraction of the data to be withheld for testing the model / calculating the accuray
"""
features_train, features_test, target_train, target_test = train_test_split(features, target, test_size=test_split)
model = GradientBoostingRegressor(**model_params)
model.fit(features_train, target_train)
accuracy = calculate_model_accuracy(model, features, target)
return model, accuracy
def calculate_model_accuracy(model, features, target):
"""
Calculate the mean squared error of the model prediction
Input:
@param model: model trained from input features
@param features: features to make a prediction from
@param target: target to compare prediction to
Output:
mean squared error of the model prection compared to the target
"""
prediction = model.predict(features)
return metrics.mean_squared_error(prediction, target)
def predict_segment(model, features, target_query):
"""
Use the provided model to predict the values for the new feature set
Input:
@param model: The pretrained model
@features: A list of features to use in the model prediction (list of column names)
@target_query: The query to run to obtain the data to predict on and the cartdb_ids associated with it.
"""
batch_size = 1000
joined_features = ','.join(['"{0}"::numeric'.format(a) for a in features])
try:
cursor = plpy.cursor('SELECT Array[{joined_features}] As features FROM ({target_query}) As a'.format(
joined_features=joined_features,
target_query=target_query))
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
results = []
while True:
rows = cursor.fetch(batch_size)
if not rows:
break
batch = np.row_stack([np.array(row['features'], dtype=float) for row in rows])
#Need to fix this. Should be global mean. This will cause weird effects
batch = replace_nan_with_mean(batch)
prediction = model.predict(batch)
results.append(prediction)
try:
cartodb_ids = plpy.execute('''SELECT array_agg(cartodb_id ORDER BY cartodb_id) As cartodb_ids FROM ({0}) As a'''.format(target_query))[0]['cartodb_ids']
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
return cartodb_ids, np.concatenate(results)

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"""Import all functions from clustering libraries."""
from markov import *

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"""
Spatial dynamics measurements using Spatial Markov
"""
import numpy as np
import pysal as ps
import plpy
import crankshaft.pysal_utils as pu
def spatial_markov_trend(subquery, time_cols, num_classes=7,
w_type='knn', num_ngbrs=5, permutations=0,
geom_col='the_geom', id_col='cartodb_id'):
"""
Predict the trends of a unit based on:
1. history of its transitions to different classes (e.g., 1st quantile -> 2nd quantile)
2. average class of its neighbors
Inputs:
@param subquery string: e.g., SELECT the_geom, cartodb_id,
interesting_time_column FROM table_name
@param time_cols list of strings: list of strings of column names
@param num_classes (optional): number of classes to break distribution
of values into. Currently uses quantile bins.
@param w_type string (optional): weight type ('knn' or 'queen')
@param num_ngbrs int (optional): number of neighbors (if knn type)
@param permutations int (optional): number of permutations for test
stats
@param geom_col string (optional): name of column which contains the
geometries
@param id_col string (optional): name of column which has the ids of
the table
Outputs:
@param trend_up float: probablity that a geom will move to a higher
class
@param trend_down float: probablity that a geom will move to a lower
class
@param trend float: (trend_up - trend_down) / trend_static
@param volatility float: a measure of the volatility based on
probability stddev(prob array)
"""
if len(time_cols) < 2:
plpy.error('More than one time column needs to be passed')
qvals = {"id_col": id_col,
"time_cols": time_cols,
"geom_col": geom_col,
"subquery": subquery,
"num_ngbrs": num_ngbrs}
try:
query_result = plpy.execute(
pu.construct_neighbor_query(w_type, qvals)
)
if len(query_result) == 0:
return zip([None], [None], [None], [None], [None])
except plpy.SPIError, err:
plpy.debug('Query failed with exception %s: %s' % (err, pu.construct_neighbor_query(w_type, qvals)))
plpy.error('Query failed, check the input parameters')
return zip([None], [None], [None], [None], [None])
## build weight
weights = pu.get_weight(query_result, w_type)
weights.transform = 'r'
## prep time data
t_data = get_time_data(query_result, time_cols)
plpy.debug('shape of t_data %d, %d' % t_data.shape)
plpy.debug('number of weight objects: %d, %d' % (weights.sparse).shape)
plpy.debug('first num elements: %f' % t_data[0, 0])
sp_markov_result = ps.Spatial_Markov(t_data,
weights,
k=num_classes,
fixed=False,
permutations=permutations)
## get lag classes
lag_classes = ps.Quantiles(
ps.lag_spatial(weights, t_data[:, -1]),
k=num_classes).yb
## look up probablity distribution for each unit according to class and lag class
prob_dist = get_prob_dist(sp_markov_result.P,
lag_classes,
sp_markov_result.classes[:, -1])
## find the ups and down and overall distribution of each cell
trend_up, trend_down, trend, volatility = get_prob_stats(prob_dist,
sp_markov_result.classes[:, -1])
## output the results
return zip(trend, trend_up, trend_down, volatility, weights.id_order)
def get_time_data(markov_data, time_cols):
"""
Extract the time columns and bin appropriately
"""
num_attrs = len(time_cols)
return np.array([[x['attr' + str(i)] for x in markov_data]
for i in range(1, num_attrs+1)], dtype=float).transpose()
## not currently used
def rebin_data(time_data, num_time_per_bin):
"""
Convert an n x l matrix into an (n/m) x l matrix where the values are
reduced (averaged) for the intervening states:
1 2 3 4 1.5 3.5
5 6 7 8 -> 5.5 7.5
9 8 7 6 8.5 6.5
5 4 3 2 4.5 2.5
if m = 2, the 4 x 4 matrix is transformed to a 2 x 4 matrix.
This process effectively resamples the data at a longer time span n
units longer than the input data.
For cases when there is a remainder (remainder(5/3) = 2), the remaining
two columns are binned together as the last time period, while the
first three are binned together for the first period.
Input:
@param time_data n x l ndarray: measurements of an attribute at
different time intervals
@param num_time_per_bin int: number of columns to average into a new
column
Output:
ceil(n / m) x l ndarray of resampled time series
"""
if time_data.shape[1] % num_time_per_bin == 0:
## if fit is perfect, then use it
n_max = time_data.shape[1] / num_time_per_bin
else:
## fit remainders into an additional column
n_max = time_data.shape[1] / num_time_per_bin + 1
return np.array([time_data[:, num_time_per_bin * i:num_time_per_bin * (i+1)].mean(axis=1)
for i in range(n_max)]).T
def get_prob_dist(transition_matrix, lag_indices, unit_indices):
"""
Given an array of transition matrices, look up the probability
associated with the arrangements passed
Input:
@param transition_matrix ndarray[k,k,k]:
@param lag_indices ndarray:
@param unit_indices ndarray:
Output:
Array of probability distributions
"""
return np.array([transition_matrix[(lag_indices[i], unit_indices[i])]
for i in range(len(lag_indices))])
def get_prob_stats(prob_dist, unit_indices):
"""
get the statistics of the probability distributions
Outputs:
@param trend_up ndarray(float): sum of probabilities for upward
movement (relative to the unit index of that prob)
@param trend_down ndarray(float): sum of probabilities for downward
movement (relative to the unit index of that prob)
@param trend ndarray(float): difference of upward and downward
movements
"""
num_elements = len(unit_indices)
trend_up = np.empty(num_elements, dtype=float)
trend_down = np.empty(num_elements, dtype=float)
trend = np.empty(num_elements, dtype=float)
for i in range(num_elements):
trend_up[i] = prob_dist[i, (unit_indices[i]+1):].sum()
trend_down[i] = prob_dist[i, :unit_indices[i]].sum()
if prob_dist[i, unit_indices[i]] > 0.0:
trend[i] = (trend_up[i] - trend_down[i]) / prob_dist[i, unit_indices[i]]
else:
trend[i] = None
## calculate volatility of distribution
volatility = prob_dist.std(axis=1)
return trend_up, trend_down, trend, volatility

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"""
CartoDB Spatial Analysis Python Library
See:
https://github.com/CartoDB/crankshaft
"""
from setuptools import setup, find_packages
setup(
name='crankshaft',
version='0.3.0',
description='CartoDB Spatial Analysis Python Library',
url='https://github.com/CartoDB/crankshaft',
author='Data Services Team - CartoDB',
author_email='dataservices@cartodb.com',
license='MIT',
classifiers=[
'Development Status :: 3 - Alpha',
'Intended Audience :: Mapping comunity',
'Topic :: Maps :: Mapping Tools',
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 2.7',
],
keywords='maps mapping tools spatial analysis geostatistics',
packages=find_packages(exclude=['contrib', 'docs', 'tests']),
extras_require={
'dev': ['unittest'],
'test': ['unittest', 'nose', 'mock'],
},
# The choice of component versions is dictated by what's
# provisioned in the production servers.
# IMPORTANT NOTE: please don't change this line. Instead issue a ticket to systems for evaluation.
install_requires=['joblib==0.8.3', 'numpy==1.6.1', 'scipy==0.14.0', 'pysal==1.11.2', 'scikit-learn==0.14.1'],
requires=['pysal', 'numpy', 'sklearn'],
test_suite='test'
)

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[{"xs": [9.917239463463458, 9.042767302696836, 10.798929825304187, 8.763751051762995, 11.383882954810852, 11.018206993460897, 8.939526075734316, 9.636159342565252, 10.136336896960058, 11.480610059427342, 12.115011910725082, 9.173267848893428, 10.239300931201738, 8.00012512174072, 8.979962292282131, 9.318376124429575, 10.82259513754284, 10.391747171927115, 10.04904588886165, 9.96007160443463, -0.78825626804569, -0.3511819898577426, -1.2796410003764271, -0.3977049391203402, 2.4792311265774667, 1.3670311632092624, 1.2963504112955613, 2.0404844103073025, -1.6439708506073223, 0.39122885445645805, 1.026031821452462, -0.04044477160482201, -0.7442346929085072, -0.34687120826243034, -0.23420359971379054, -0.5919629143336708, -0.202903054395391, -0.1893399644841902, 1.9331834251176807, -0.12321054392851609], "ys": [8.735627063679981, 9.857615954045011, 10.81439096759407, 10.586727233537191, 9.232919976568622, 11.54281262696508, 8.392787912674466, 9.355119689665944, 9.22380703532752, 10.542142541823122, 10.111980619367035, 10.760836265570738, 8.819773453269804, 10.25325722424816, 9.802077905695608, 8.955420161552611, 9.833801181904477, 10.491684241001613, 12.076108669877556, 11.74289693140474, -0.5685725015474191, -0.5715728344759778, -0.20180907868635137, 0.38431336480089595, -0.3402202083684184, -2.4652736827783586, 0.08295159401756182, 0.8503818775816505, 0.6488691600321166, 0.5794762568230527, -0.6770063922144103, -0.6557616416449478, -1.2834289177624947, 0.1096318195532717, -0.38986922166834853, -1.6224497706950238, 0.09429787743230483, 0.4005097316394031, -0.508002811195673, -1.2473463371366507], "ids": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]}]

View File

@@ -0,0 +1 @@
[[0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 0], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 1], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 2], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 3], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 4], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 5], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 6], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 7], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 8], [0.19047619047619049, 0.16, 0.0, 0.32594478059941379, 9], [-0.23529411764705882, 0.0, 0.19047619047619047, 0.31356338348865387, 10], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 11], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 12], [0.027777777777777783, 0.11111111111111112, 0.088888888888888892, 0.30339641183779581, 13], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 14], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 15], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 16], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 17], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 18], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 19], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 20], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 21], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 22], [-0.16666666666666663, 0.18181818181818182, 0.27272727272727271, 0.20246415864836445, 23], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 24], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 25], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 26], [-0.043478260869565216, 0.0, 0.041666666666666664, 0.37950991789118999, 27], [0.22222222222222221, 0.18181818181818182, 0.0, 0.31701083225750354, 28], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 29], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 30], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 31], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 32], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 33], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 34], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 35], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 36], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 37], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 38], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 39], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 40], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 41], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 42], [0.0, 0.0, 0.0, 0.40000000000000002, 43], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 44], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 45], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 46], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 47]]

View File

@@ -0,0 +1,52 @@
[[0.9319096128346788, "HH"],
[-1.135787401862846, "HL"],
[0.11732030672508517, "LL"],
[0.6152779669180425, "LL"],
[-0.14657336660125297, "LH"],
[0.6967858120189607, "LL"],
[0.07949310115714454, "HH"],
[0.4703198759258987, "HH"],
[0.4421125200498064, "HH"],
[0.5724288737143592, "LL"],
[0.8970743435692062, "LL"],
[0.18327334401918674, "LL"],
[-0.01466729201304962, "HL"],
[0.3481559372544409, "LL"],
[0.06547094736902978, "LL"],
[0.15482141569329988, "HH"],
[0.4373841193538136, "HH"],
[0.15971286468915544, "LL"],
[1.0543588860308968, "HH"],
[1.7372866900020818, "HH"],
[1.091998586053999, "LL"],
[0.1171572584252222, "HH"],
[0.08438455015300014, "LL"],
[0.06547094736902978, "LL"],
[0.15482141569329985, "HH"],
[1.1627044812890683, "HH"],
[0.06547094736902978, "LL"],
[0.795275137550483, "HH"],
[0.18562939195219, "LL"],
[0.3010757406693439, "LL"],
[2.8205795942839376, "HH"],
[0.11259190602909264, "LL"],
[-0.07116352791516614, "HL"],
[-0.09945240794119009, "LH"],
[0.18562939195219, "LL"],
[0.1832733440191868, "LL"],
[-0.39054253768447705, "HL"],
[-0.1672071289487642, "HL"],
[0.3337669247916343, "HH"],
[0.2584386102554792, "HH"],
[-0.19733845476322634, "HL"],
[-0.9379282899805409, "LH"],
[-0.028770969951095866, "LH"],
[0.051367269430983485, "LL"],
[-0.2172548045913472, "LH"],
[0.05136726943098351, "LL"],
[0.04191046803899837, "LL"],
[0.7482357030403517, "HH"],
[-0.014585767863118111, "LH"],
[0.5410013139159929, "HH"],
[1.0223932668429925, "LL"],
[1.4179402898927476, "LL"]]

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[
{"neighbors": [48, 26, 20, 9, 31], "id": 1, "value": 0.5},
{"neighbors": [30, 16, 46, 3, 4], "id": 2, "value": 0.7},
{"neighbors": [46, 30, 2, 12, 16], "id": 3, "value": 0.2},
{"neighbors": [18, 30, 23, 2, 52], "id": 4, "value": 0.1},
{"neighbors": [47, 40, 45, 37, 28], "id": 5, "value": 0.3},
{"neighbors": [10, 21, 41, 14, 37], "id": 6, "value": 0.05},
{"neighbors": [8, 17, 43, 25, 12], "id": 7, "value": 0.4},
{"neighbors": [17, 25, 43, 22, 7], "id": 8, "value": 0.7},
{"neighbors": [39, 34, 1, 26, 48], "id": 9, "value": 0.5},
{"neighbors": [6, 37, 5, 45, 49], "id": 10, "value": 0.04},
{"neighbors": [51, 41, 29, 21, 14], "id": 11, "value": 0.08},
{"neighbors": [44, 46, 43, 50, 3], "id": 12, "value": 0.2},
{"neighbors": [45, 23, 14, 28, 18], "id": 13, "value": 0.4},
{"neighbors": [41, 29, 13, 23, 6], "id": 14, "value": 0.2},
{"neighbors": [36, 27, 32, 33, 24], "id": 15, "value": 0.3},
{"neighbors": [19, 2, 46, 44, 28], "id": 16, "value": 0.4},
{"neighbors": [8, 25, 43, 7, 22], "id": 17, "value": 0.6},
{"neighbors": [23, 4, 29, 14, 13], "id": 18, "value": 0.3},
{"neighbors": [42, 16, 28, 26, 40], "id": 19, "value": 0.7},
{"neighbors": [1, 48, 31, 26, 42], "id": 20, "value": 0.8},
{"neighbors": [41, 6, 11, 14, 10], "id": 21, "value": 0.1},
{"neighbors": [25, 50, 43, 31, 44], "id": 22, "value": 0.4},
{"neighbors": [18, 13, 14, 4, 2], "id": 23, "value": 0.1},
{"neighbors": [33, 49, 34, 47, 27], "id": 24, "value": 0.3},
{"neighbors": [43, 8, 22, 17, 50], "id": 25, "value": 0.4},
{"neighbors": [1, 42, 20, 31, 48], "id": 26, "value": 0.6},
{"neighbors": [32, 15, 36, 33, 24], "id": 27, "value": 0.3},
{"neighbors": [40, 45, 19, 5, 13], "id": 28, "value": 0.8},
{"neighbors": [11, 51, 41, 14, 18], "id": 29, "value": 0.3},
{"neighbors": [2, 3, 4, 46, 18], "id": 30, "value": 0.1},
{"neighbors": [20, 26, 1, 50, 48], "id": 31, "value": 0.9},
{"neighbors": [27, 36, 15, 49, 24], "id": 32, "value": 0.3},
{"neighbors": [24, 27, 49, 34, 32], "id": 33, "value": 0.4},
{"neighbors": [47, 9, 39, 40, 24], "id": 34, "value": 0.3},
{"neighbors": [38, 51, 11, 21, 41], "id": 35, "value": 0.3},
{"neighbors": [15, 32, 27, 49, 33], "id": 36, "value": 0.2},
{"neighbors": [49, 10, 5, 47, 24], "id": 37, "value": 0.5},
{"neighbors": [35, 21, 51, 11, 41], "id": 38, "value": 0.4},
{"neighbors": [9, 34, 48, 1, 47], "id": 39, "value": 0.6},
{"neighbors": [28, 47, 5, 9, 34], "id": 40, "value": 0.5},
{"neighbors": [11, 14, 29, 21, 6], "id": 41, "value": 0.4},
{"neighbors": [26, 19, 1, 9, 31], "id": 42, "value": 0.2},
{"neighbors": [25, 12, 8, 22, 44], "id": 43, "value": 0.3},
{"neighbors": [12, 50, 46, 16, 43], "id": 44, "value": 0.2},
{"neighbors": [28, 13, 5, 40, 19], "id": 45, "value": 0.3},
{"neighbors": [3, 12, 44, 2, 16], "id": 46, "value": 0.2},
{"neighbors": [34, 40, 5, 49, 24], "id": 47, "value": 0.3},
{"neighbors": [1, 20, 26, 9, 39], "id": 48, "value": 0.5},
{"neighbors": [24, 37, 47, 5, 33], "id": 49, "value": 0.2},
{"neighbors": [44, 22, 31, 42, 26], "id": 50, "value": 0.6},
{"neighbors": [11, 29, 41, 14, 21], "id": 51, "value": 0.01},
{"neighbors": [4, 18, 29, 51, 23], "id": 52, "value": 0.01}
]

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import unittest
from mock_plpy import MockPlPy
plpy = MockPlPy()
import sys
sys.modules['plpy'] = plpy
import os
def fixture_file(name):
dir = os.path.dirname(os.path.realpath(__file__))
return os.path.join(dir, 'fixtures', name)

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import re
class MockCursor:
def __init__(self, data):
self.cursor_pos = 0
self.data = data
def fetch(self, batch_size):
batch = self.data[self.cursor_pos : self.cursor_pos + batch_size]
self.cursor_pos += batch_size
return batch
class MockPlPy:
def __init__(self):
self._reset()
def _reset(self):
self.infos = []
self.notices = []
self.debugs = []
self.logs = []
self.warnings = []
self.errors = []
self.fatals = []
self.executes = []
self.results = []
self.prepares = []
self.results = []
def _define_result(self, query, result):
pattern = re.compile(query, re.IGNORECASE | re.MULTILINE)
self.results.append([pattern, result])
def notice(self, msg):
self.notices.append(msg)
def debug(self, msg):
self.notices.append(msg)
def info(self, msg):
self.infos.append(msg)
def cursor(self, query):
data = self.execute(query)
return MockCursor(data)
def execute(self, query): # TODO: additional arguments
for result in self.results:
if result[0].match(query):
return result[1]
return []

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import numpy as np
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class KMeansTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.cluster_data = json.loads(open(fixture_file('kmeans.json')).read())
self.params = {"subquery": "select * from table",
"no_clusters": "10"
}
def test_kmeans(self):
data = self.cluster_data
plpy._define_result('select' ,data)
clusters = cc.kmeans('subquery', 2)
labels = [a[1] for a in clusters]
c1 = [a for a in clusters if a[1]==0]
c2 = [a for a in clusters if a[1]==1]
self.assertEqual(len(np.unique(labels)),2)
self.assertEqual(len(c1),20)
self.assertEqual(len(c2),20)

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class MoranTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_markov = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors.json')).read())
self.moran_data = json.loads(open(fixture_file('moran.json')).read())
def test_map_quads(self):
"""Test map_quads"""
self.assertEqual(cc.map_quads(1), 'HH')
self.assertEqual(cc.map_quads(2), 'LH')
self.assertEqual(cc.map_quads(3), 'LL')
self.assertEqual(cc.map_quads(4), 'HL')
self.assertEqual(cc.map_quads(33), None)
self.assertEqual(cc.map_quads('andy'), None)
def test_quad_position(self):
"""Test lisa_sig_vals"""
quads = np.array([1, 2, 3, 4], np.int)
ans = np.array(['HH', 'LH', 'LL', 'HL'])
test_ans = cc.quad_position(quads)
self.assertTrue((test_ans == ans).all())
def test_moran_local(self):
"""Test Moran's I local"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local('subquery', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
self.assertEqual(res_quad, exp_quad)
def test_moran_local_rate(self):
"""Test Moran's I rate"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'attr2': 1, 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local_rate('subquery', 'numerator', 'denominator', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None? ', result == None
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
def test_moran(self):
"""Test Moran's I global"""
data = [{ 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1235)
result = cc.moran('table', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None?', result == None
result_moran = result[0][0]
expected_moran = np.array([row[0] for row in self.moran_data]).mean()
self.assertAlmostEqual(expected_moran, result_moran, delta=10e-2)

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import unittest
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
class PysalUtilsTest(unittest.TestCase):
"""Testing class for utility functions related to PySAL integrations"""
def setUp(self):
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_array = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
def test_query_attr_select(self):
"""Test query_attr_select"""
ans = "i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, "
ans_array = "i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, "
self.assertEqual(pu.query_attr_select(self.params), ans)
self.assertEqual(pu.query_attr_select(self.params_array), ans_array)
def test_query_attr_where(self):
"""Test pu.query_attr_where"""
ans = "idx_replace.\"andy\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" <> 0"
ans_array = "idx_replace.\"_2013_dec\" IS NOT NULL AND " \
"idx_replace.\"_2014_jan\" IS NOT NULL AND " \
"idx_replace.\"_2014_feb\" IS NOT NULL"
self.assertEqual(pu.query_attr_where(self.params), ans)
self.assertEqual(pu.query_attr_where(self.params_array), ans_array)
def test_knn(self):
"""Test knn neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0 " \
"ORDER BY " \
"j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
ans_array = "SELECT i.\"cartodb_id\" As id, " \
"i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"_2013_dec\" IS NOT NULL AND " \
"j.\"_2014_jan\" IS NOT NULL AND " \
"j.\"_2014_feb\" IS NOT NULL " \
"ORDER BY j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"_2013_dec\" IS NOT NULL AND " \
"i.\"_2014_jan\" IS NOT NULL AND " \
"i.\"_2014_feb\" IS NOT NULL "\
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.knn(self.params), ans)
self.assertEqual(pu.knn(self.params_array), ans_array)
def test_queen(self):
"""Test queen neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"ST_Touches(i.\"the_geom\", " \
"j.\"the_geom\") AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0)" \
") As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.queen(self.params), ans)
def test_construct_neighbor_query(self):
"""Test construct_neighbor_query"""
# Compare to raw knn query
self.assertEqual(pu.construct_neighbor_query('knn', self.params),
pu.knn(self.params))
def test_get_attributes(self):
"""Test get_attributes"""
## need to add tests
self.assertEqual(True, True)
def test_get_weight(self):
"""Test get_weight"""
self.assertEqual(True, True)
def test_empty_zipped_array(self):
"""Test empty_zipped_array"""
ans2 = [(None, None)]
ans4 = [(None, None, None, None)]
self.assertEqual(pu.empty_zipped_array(2), ans2)
self.assertEqual(pu.empty_zipped_array(4), ans4)

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import unittest
import numpy as np
from helper import plpy, fixture_file
import crankshaft.segmentation as segmentation
import json
class SegmentationTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
def generate_random_data(self,n_samples,random_state, row_type=False):
x1 = random_state.uniform(size=n_samples)
x2 = random_state.uniform(size=n_samples)
x3 = random_state.randint(0, 4, size=n_samples)
y = x1+x2*x2+x3
cartodb_id = range(len(x1))
if row_type:
return [ {'features': vals} for vals in zip(x1,x2,x3)], y
else:
return [dict( zip(['x1','x2','x3','target', 'cartodb_id'],[x1,x2,x3,y,cartodb_id]))]
def test_replace_nan_with_mean(self):
test_array = np.array([1.2, np.nan, 3.2, np.nan, np.nan])
def test_create_and_predict_segment(self):
n_samples = 1000
random_state_train = np.random.RandomState(13)
random_state_test = np.random.RandomState(134)
training_data = self.generate_random_data(n_samples, random_state_train)
test_data, test_y = self.generate_random_data(n_samples, random_state_test, row_type=True)
ids = [{'cartodb_ids': range(len(test_data))}]
rows = [{'x1': 0,'x2':0,'x3':0,'y':0,'cartodb_id':0}]
plpy._define_result('select \* from \(select \* from training\) a limit 1',rows)
plpy._define_result('.*from \(select \* from training\) as a' ,training_data)
plpy._define_result('select array_agg\(cartodb\_id order by cartodb\_id\) as cartodb_ids from \(.*\) a',ids)
plpy._define_result('.*select \* from test.*' ,test_data)
model_parameters = {'n_estimators': 1200,
'max_depth': 3,
'subsample' : 0.5,
'learning_rate': 0.01,
'min_samples_leaf': 1}
result = segmentation.create_and_predict_segment(
'select * from training',
'target',
'select * from test',
model_parameters)
prediction = [r[1] for r in result]
accuracy =np.sqrt(np.mean( np.square( np.array(prediction) - np.array(test_y))))
self.assertEqual(len(result),len(test_data))
self.assertTrue( result[0][2] < 0.01)
self.assertTrue( accuracy < 0.5*np.mean(test_y) )

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import unittest
import numpy as np
import unittest
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.space_time_dynamics as std
from crankshaft import random_seeds
import json
class SpaceTimeTests(unittest.TestCase):
"""Testing class for Markov Functions."""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"time_cols": ['dec_2013', 'jan_2014', 'feb_2014'],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors_markov.json')).read())
self.markov_data = json.loads(open(fixture_file('markov.json')).read())
self.time_data = np.array([i * np.ones(10, dtype=float) for i in range(10)]).T
self.transition_matrix = np.array([
[[ 0.96341463, 0.0304878 , 0.00609756, 0. , 0. ],
[ 0.06040268, 0.83221477, 0.10738255, 0. , 0. ],
[ 0. , 0.14 , 0.74 , 0.12 , 0. ],
[ 0. , 0.03571429, 0.32142857, 0.57142857, 0.07142857],
[ 0. , 0. , 0. , 0.16666667, 0.83333333]],
[[ 0.79831933, 0.16806723, 0.03361345, 0. , 0. ],
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0.00537634, 0.06989247, 0.8655914 , 0.05913978, 0. ],
[ 0. , 0. , 0.06372549, 0.90196078, 0.03431373],
[ 0. , 0. , 0. , 0.19444444, 0.80555556]],
[[ 0.84693878, 0.15306122, 0. , 0. , 0. ],
[ 0.08133971, 0.78947368, 0.1291866 , 0. , 0. ],
[ 0.00518135, 0.0984456 , 0.79274611, 0.0984456 , 0.00518135],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0. , 0. , 0. , 0.10204082, 0.89795918]],
[[ 0.8852459 , 0.09836066, 0. , 0.01639344, 0. ],
[ 0.03875969, 0.81395349, 0.13953488, 0. , 0.00775194],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0.02339181, 0.12865497, 0.75438596, 0.09356725],
[ 0. , 0. , 0. , 0.09661836, 0.90338164]],
[[ 0.33333333, 0.66666667, 0. , 0. , 0. ],
[ 0.0483871 , 0.77419355, 0.16129032, 0.01612903, 0. ],
[ 0.01149425, 0.16091954, 0.74712644, 0.08045977, 0. ],
[ 0. , 0.01036269, 0.06217617, 0.89637306, 0.03108808],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]]]
)
def test_spatial_markov(self):
"""Test Spatial Markov."""
data = [ { 'id': d['id'],
'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'],
'neighbors': d['neighbors'] } for d in self.neighbors_data]
print(str(data[0]))
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = std.spatial_markov_trend('subquery', ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'], 5, 'knn', 5, 0, 'the_geom', 'cartodb_id')
self.assertTrue(result != None)
result = [(row[0], row[1], row[2], row[3], row[4]) for row in result]
print result[0]
expected = self.markov_data
for ([res_trend, res_up, res_down, res_vol, res_id],
[exp_trend, exp_up, exp_down, exp_vol, exp_id]
) in zip(result, expected):
self.assertAlmostEqual(res_trend, exp_trend)
def test_get_time_data(self):
"""Test get_time_data"""
data = [ { 'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'] } for d in self.neighbors_data]
result = std.get_time_data(data, ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'])
## expected was prepared from PySAL example:
### f = ps.open(ps.examples.get_path("usjoin.csv"))
### pci = np.array([f.by_col[str(y)] for y in range(1995, 2010)]).transpose()
### rpci = pci / (pci.mean(axis = 0))
expected = np.array([[ 0.87654416, 0.863147, 0.85637567, 0.84811668, 0.8446154, 0.83271652
, 0.83786314, 0.85012593, 0.85509656, 0.86416612, 0.87119375, 0.86302631
, 0.86148267, 0.86252252, 0.86746356],
[ 0.9188951, 0.91757931, 0.92333258, 0.92517289, 0.92552388, 0.90746978
, 0.89830489, 0.89431991, 0.88924794, 0.89815176, 0.91832091, 0.91706054
, 0.90139505, 0.87897455, 0.86216858],
[ 0.82591007, 0.82548596, 0.81989793, 0.81503235, 0.81731522, 0.78964559
, 0.80584442, 0.8084998, 0.82258551, 0.82668196, 0.82373724, 0.81814804
, 0.83675961, 0.83574199, 0.84647177],
[ 1.09088176, 1.08537689, 1.08456418, 1.08415404, 1.09898841, 1.14506948
, 1.12151133, 1.11160697, 1.10888621, 1.11399806, 1.12168029, 1.13164797
, 1.12958508, 1.11371818, 1.09936775],
[ 1.10731446, 1.11373944, 1.13283638, 1.14472559, 1.15910025, 1.16898201
, 1.17212488, 1.14752303, 1.11843284, 1.11024964, 1.11943471, 1.11736468
, 1.10863242, 1.09642516, 1.07762337],
[ 1.42269757, 1.42118434, 1.44273502, 1.43577571, 1.44400684, 1.44184737
, 1.44782832, 1.41978227, 1.39092208, 1.4059372, 1.40788646, 1.44052766
, 1.45241216, 1.43306098, 1.4174431 ],
[ 1.13073885, 1.13110513, 1.11074708, 1.13364636, 1.13088149, 1.10888138
, 1.11856629, 1.13062931, 1.11944984, 1.12446239, 1.11671008, 1.10880034
, 1.08401709, 1.06959206, 1.07875225],
[ 1.04706124, 1.04516831, 1.04253372, 1.03239987, 1.02072545, 0.99854316
, 0.9880258, 0.99669587, 0.99327676, 1.01400905, 1.03176742, 1.040511
, 1.01749645, 0.9936394, 0.98279746],
[ 0.98996986, 1.00143564, 0.99491, 1.00188408, 1.00455845, 0.99127006
, 0.97925917, 0.9683482, 0.95335147, 0.93694787, 0.94308213, 0.92232874
, 0.91284091, 0.89689833, 0.88928858],
[ 0.87418391, 0.86416601, 0.84425695, 0.8404494, 0.83903044, 0.8578708
, 0.86036185, 0.86107306, 0.8500772, 0.86981998, 0.86837929, 0.87204141
, 0.86633032, 0.84946077, 0.83287146],
[ 1.14196118, 1.14660262, 1.14892712, 1.14909594, 1.14436624, 1.14450183
, 1.12349752, 1.12596664, 1.12213996, 1.1119989, 1.10257792, 1.10491258
, 1.11059842, 1.10509795, 1.10020097],
[ 0.97282463, 0.96700147, 0.96252588, 0.9653878, 0.96057687, 0.95831051
, 0.94480909, 0.94804195, 0.95430286, 0.94103989, 0.92122519, 0.91010201
, 0.89280392, 0.89298243, 0.89165385],
[ 0.94325468, 0.96436902, 0.96455242, 0.95243009, 0.94117647, 0.9480927
, 0.93539182, 0.95388718, 0.94597005, 0.96918424, 0.94781281, 0.93466815
, 0.94281559, 0.96520315, 0.96715441],
[ 0.97478408, 0.98169225, 0.98712809, 0.98474769, 0.98559897, 0.98687073
, 0.99237486, 0.98209969, 0.9877653, 0.97399471, 0.96910087, 0.98416665
, 0.98423613, 0.99823861, 0.99545704],
[ 0.85570269, 0.85575915, 0.85986132, 0.85693406, 0.8538012, 0.86191535
, 0.84981451, 0.85472102, 0.84564835, 0.83998883, 0.83478547, 0.82803648
, 0.8198736, 0.82265395, 0.8399404 ],
[ 0.87022047, 0.85996258, 0.85961813, 0.85689572, 0.83947136, 0.82785597
, 0.86008789, 0.86776298, 0.86720209, 0.8676334, 0.89179317, 0.94202108
, 0.9422231, 0.93902708, 0.94479184],
[ 0.90134907, 0.90407738, 0.90403991, 0.90201769, 0.90399238, 0.90906632
, 0.92693339, 0.93695966, 0.94242697, 0.94338265, 0.91981796, 0.91108804
, 0.90543476, 0.91737138, 0.94793657],
[ 1.1977611, 1.18222564, 1.18439158, 1.18267865, 1.19286723, 1.20172869
, 1.21328691, 1.22624778, 1.22397075, 1.23857042, 1.24419893, 1.23929384
, 1.23418676, 1.23626739, 1.26754398],
[ 1.24919678, 1.25754773, 1.26991161, 1.28020651, 1.30625667, 1.34790023
, 1.34399863, 1.32575181, 1.30795492, 1.30544841, 1.30303302, 1.32107766
, 1.32936244, 1.33001241, 1.33288462],
[ 1.06768004, 1.03799276, 1.03637303, 1.02768449, 1.03296093, 1.05059016
, 1.03405057, 1.02747623, 1.03162734, 0.9961416, 0.97356208, 0.94241549
, 0.92754547, 0.92549227, 0.92138102],
[ 1.09475614, 1.11526796, 1.11654299, 1.13103948, 1.13143264, 1.13889622
, 1.12442212, 1.13367018, 1.13982256, 1.14029944, 1.11979401, 1.10905389
, 1.10577769, 1.11166825, 1.09985155],
[ 0.76530058, 0.76612841, 0.76542451, 0.76722683, 0.76014284, 0.74480073
, 0.76098396, 0.76156903, 0.76651952, 0.76533288, 0.78205934, 0.76842416
, 0.77487118, 0.77768683, 0.78801192],
[ 0.98391336, 0.98075816, 0.98295341, 0.97386015, 0.96913803, 0.97370819
, 0.96419154, 0.97209861, 0.97441313, 0.96356162, 0.94745352, 0.93965462
, 0.93069645, 0.94020973, 0.94358232],
[ 0.83561828, 0.82298088, 0.81738502, 0.81748588, 0.80904801, 0.80071489
, 0.83358256, 0.83451613, 0.85175032, 0.85954307, 0.86790024, 0.87170334
, 0.87863799, 0.87497981, 0.87888675],
[ 0.98845573, 1.02092428, 0.99665283, 0.99141823, 0.99386619, 0.98733195
, 0.99644997, 0.99669587, 1.02559097, 1.01116651, 0.99988024, 0.97906749
, 0.99323123, 1.00204939, 0.99602148],
[ 1.14930913, 1.15241949, 1.14300962, 1.14265542, 1.13984683, 1.08312397
, 1.05192626, 1.04230892, 1.05577278, 1.08569751, 1.12443486, 1.08891079
, 1.08603695, 1.05997314, 1.02160943],
[ 1.11368269, 1.1057147, 1.11893431, 1.13778669, 1.1432272, 1.18257029
, 1.16226243, 1.16009196, 1.14467789, 1.14820235, 1.12386598, 1.12680236
, 1.12357937, 1.1159258, 1.12570828],
[ 1.30379431, 1.30752186, 1.31206366, 1.31532267, 1.30625667, 1.31210239
, 1.29989156, 1.29203193, 1.27183516, 1.26830786, 1.2617743, 1.28656675
, 1.29734097, 1.29390205, 1.29345446],
[ 0.83953719, 0.82701448, 0.82006005, 0.81188876, 0.80294864, 0.78772975
, 0.82848011, 0.8259679, 0.82435705, 0.83108634, 0.84373784, 0.83891093
, 0.84349247, 0.85637272, 0.86539395],
[ 1.23450087, 1.2426022, 1.23537935, 1.23581293, 1.24522626, 1.2256767
, 1.21126648, 1.19377804, 1.18355337, 1.19674434, 1.21536573, 1.23653297
, 1.27962009, 1.27968392, 1.25907738],
[ 0.9769662, 0.97400719, 0.98035944, 0.97581531, 0.95543282, 0.96480308
, 0.94686376, 0.93679073, 0.92540049, 0.92988835, 0.93442917, 0.92100464
, 0.91475304, 0.90249622, 0.9021363 ],
[ 0.84986886, 0.8986851, 0.84295997, 0.87280534, 0.85659368, 0.88937573
, 0.894401, 0.90448993, 0.95495898, 0.92698333, 0.94745352, 0.92562488
, 0.96635366, 1.02520312, 1.0394296 ],
[ 1.01922808, 1.00258203, 1.00974428, 1.00303417, 0.99765073, 1.00759019
, 0.99192968, 0.99747298, 0.99550759, 0.97583768, 0.9610168, 0.94779638
, 0.93759089, 0.93353431, 0.94121705],
[ 0.86367411, 0.85558932, 0.85544346, 0.85103025, 0.84336613, 0.83434854
, 0.85813595, 0.84667961, 0.84374558, 0.85951183, 0.87194227, 0.89455097
, 0.88283929, 0.90349491, 0.90600675],
[ 1.00947534, 1.00411055, 1.00698819, 0.99513687, 0.99291086, 1.00581626
, 0.98850522, 0.99291168, 0.98983209, 0.97511924, 0.96134615, 0.96382634
, 0.95011401, 0.9434686, 0.94637765],
[ 1.05712571, 1.05459419, 1.05753012, 1.04880786, 1.05103857, 1.04800023
, 1.03024941, 1.04200483, 1.0402554, 1.03296979, 1.02191682, 1.02476275
, 1.02347523, 1.02517684, 1.04359571],
[ 1.07084189, 1.06669497, 1.07937623, 1.07387988, 1.0794043, 1.0531801
, 1.07452771, 1.09383478, 1.1052447, 1.10322136, 1.09167939, 1.08772756
, 1.08859544, 1.09177338, 1.1096083 ],
[ 0.86719222, 0.86628896, 0.86675156, 0.86425632, 0.86511809, 0.86287327
, 0.85169796, 0.85411285, 0.84886336, 0.84517414, 0.84843858, 0.84488343
, 0.83374329, 0.82812044, 0.82878599],
[ 0.88389211, 0.92288667, 0.90282398, 0.91229186, 0.92023286, 0.92652175
, 0.94278865, 0.93682452, 0.98655146, 0.992237, 0.9798497, 0.93869677
, 0.96947771, 1.00362626, 0.98102351],
[ 0.97082064, 0.95320233, 0.94534081, 0.94215593, 0.93967, 0.93092109
, 0.92662519, 0.93412152, 0.93501274, 0.92879506, 0.92110542, 0.91035556
, 0.90430364, 0.89994694, 0.90073864],
[ 0.95861858, 0.95774543, 0.98254811, 0.98919472, 0.98684824, 0.98882205
, 0.97662234, 0.95601578, 0.94905385, 0.94934888, 0.97152609, 0.97163004
, 0.9700702, 0.97158948, 0.95884908],
[ 0.83980439, 0.84726737, 0.85747, 0.85467221, 0.8556751, 0.84818516
, 0.85265681, 0.84502402, 0.82645665, 0.81743586, 0.83550406, 0.83338919
, 0.83511679, 0.82136617, 0.80921874],
[ 0.95118156, 0.9466212, 0.94688098, 0.9508583, 0.9512441, 0.95440787
, 0.96364363, 0.96804412, 0.97136214, 0.97583768, 0.95571724, 0.96895368
, 0.97001634, 0.97082733, 0.98782366],
[ 1.08910044, 1.08248968, 1.08492895, 1.08656923, 1.09454249, 1.10558188
, 1.1214086, 1.12292577, 1.13021031, 1.13342735, 1.14686068, 1.14502975
, 1.14474747, 1.14084037, 1.16142926],
[ 1.06336033, 1.07365823, 1.08691496, 1.09764846, 1.11669863, 1.11856702
, 1.09764283, 1.08815849, 1.08044313, 1.09278827, 1.07003204, 1.08398066
, 1.09831768, 1.09298232, 1.09176125],
[ 0.79772065, 0.78829196, 0.78581151, 0.77615922, 0.77035744, 0.77751194
, 0.79902974, 0.81437881, 0.80788828, 0.79603865, 0.78966436, 0.79949807
, 0.80172182, 0.82168155, 0.85587911],
[ 1.0052447, 1.00007696, 1.00475899, 1.00613942, 1.00639561, 1.00162979
, 0.99860739, 1.00814981, 1.00574316, 0.99030032, 0.97682565, 0.97292596
, 0.96519561, 0.96173403, 0.95890284],
[ 0.95808419, 0.9382568, 0.9654441, 0.95561201, 0.96987289, 0.96608031
, 0.99727185, 1.00781194, 1.03484236, 1.05333619, 1.0983263, 1.1704974
, 1.17025154, 1.18730553, 1.14242645]])
self.assertTrue(np.allclose(result, expected))
self.assertTrue(type(result) == type(expected))
self.assertTrue(result.shape == expected.shape)
def test_rebin_data(self):
"""Test rebin_data"""
## sample in double the time (even case since 10 % 2 = 0):
## (0+1)/2, (2+3)/2, (4+5)/2, (6+7)/2, (8+9)/2
## = 0.5, 2.5, 4.5, 6.5, 8.5
ans_even = np.array([(i + 0.5) * np.ones(10, dtype=float)
for i in range(0, 10, 2)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 2), ans_even))
## sample in triple the time (uneven since 10 % 3 = 1):
## (0+1+2)/3, (3+4+5)/3, (6+7+8)/3, (9)/1
## = 1, 4, 7, 9
ans_odd = np.array([i * np.ones(10, dtype=float)
for i in (1, 4, 7, 9)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 3), ans_odd))
def test_get_prob_dist(self):
"""Test get_prob_dist"""
lag_indices = np.array([1, 2, 3, 4])
unit_indices = np.array([1, 3, 2, 4])
answer = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
result = std.get_prob_dist(self.transition_matrix, lag_indices, unit_indices)
self.assertTrue(np.array_equal(result, answer))
def test_get_prob_stats(self):
"""Test get_prob_stats"""
probs = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
unit_indices = np.array([1, 3, 2, 4])
answer_up = np.array([0.04245283, 0.03529412, 0.12376238, 0.])
answer_down = np.array([0.0754717, 0.09411765, 0.0990099, 0.02352941])
answer_trend = np.array([-0.03301887 / 0.88207547, -0.05882353 / 0.87058824, 0.02475248 / 0.77722772, -0.02352941 / 0.97647059])
answer_volatility = np.array([ 0.34221495, 0.33705421, 0.29226542, 0.38834223])
result = std.get_prob_stats(probs, unit_indices)
result_up = result[0]
result_down = result[1]
result_trend = result[2]
result_volatility = result[3]
self.assertTrue(np.allclose(result_up, answer_up))
self.assertTrue(np.allclose(result_down, answer_down))
self.assertTrue(np.allclose(result_trend, answer_trend))
self.assertTrue(np.allclose(result_volatility, answer_volatility))

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"""Import all modules"""
import crankshaft.random_seeds
import crankshaft.clustering
import crankshaft.space_time_dynamics
import crankshaft.segmentation

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"""Import all functions from for clustering"""
from moran import *
from kmeans import *

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from sklearn.cluster import KMeans
import plpy
def kmeans(query, no_clusters, no_init=20):
data = plpy.execute('''select array_agg(cartodb_id order by cartodb_id) as ids,
array_agg(ST_X(the_geom) order by cartodb_id) xs,
array_agg(ST_Y(the_geom) order by cartodb_id) ys from ({query}) a
where the_geom is not null
'''.format(query=query))
xs = data[0]['xs']
ys = data[0]['ys']
ids = data[0]['ids']
km = KMeans(n_clusters= no_clusters, n_init=no_init)
labels = km.fit_predict(zip(xs,ys))
return zip(ids,labels)

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"""
Moran's I geostatistics (global clustering & outliers presence)
"""
# TODO: Fill in local neighbors which have null/NoneType values with the
# average of the their neighborhood
import pysal as ps
import plpy
from collections import OrderedDict
# crankshaft module
import crankshaft.pysal_utils as pu
# High level interface ---------------------------------------
def moran(subquery, attr_name,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I (global)
Implementation building neighbors with a PostGIS database and Moran's I
core clusters with PySAL.
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", attr_name),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
attr_vals = pu.get_attributes(result)
## calculate weights
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global
moran_global = ps.esda.moran.Moran(attr_vals, weight,
permutations=permutations)
return zip([moran_global.I], [moran_global.EI])
def moran_local(subquery, attr,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I implementation for PL/Python
Andy Eschbacher
"""
# geometries with attributes that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("attr1", attr),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(5)
attr_vals = pu.get_attributes(result)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local(attr_vals, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Rate (global)
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", numerator),
("attr2", denominator)
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global rate
lisa_rate = ps.esda.moran.Moran_Rate(numer, denom, weight,
permutations=permutations)
return zip([lisa_rate.I], [lisa_rate.EI])
def moran_local_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Local Rate
Andy Eschbacher
"""
# geometries with values that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("numerator", numerator),
("denominator", denominator),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(5)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_Rate(numer, denom, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_local_bv(subquery, attr1, attr2,
permutations, geom_col, id_col, w_type, num_ngbrs):
"""
Moran's I (local) Bivariate (untested)
"""
plpy.notice('** Constructing query')
qvals = OrderedDict([("id_col", id_col),
("attr1", attr1),
("attr2", attr2),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(4)
except plpy.SPIError:
plpy.error("Error: areas of interest query failed, " \
"check input parameters")
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(4)
## collect attributes
attr1_vals = pu.get_attributes(result, 1)
attr2_vals = pu.get_attributes(result, 2)
# create weights
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_BV(attr1_vals, attr2_vals, weight,
permutations=permutations)
plpy.notice("len of Is: %d" % len(lisa.Is))
# find clustering of significance
lisa_sig = quad_position(lisa.q)
plpy.notice('** Finished calculations')
return zip(lisa.Is, lisa_sig, lisa.p_sim, weight.id_order)
# Low level functions ----------------------------------------
def map_quads(coord):
"""
Map a quadrant number to Moran's I designation
HH=1, LH=2, LL=3, HL=4
Input:
@param coord (int): quadrant of a specific measurement
Output:
classification (one of 'HH', 'LH', 'LL', or 'HL')
"""
if coord == 1:
return 'HH'
elif coord == 2:
return 'LH'
elif coord == 3:
return 'LL'
elif coord == 4:
return 'HL'
else:
return None
def quad_position(quads):
"""
Produce Moran's I classification based of n
Input:
@param quads ndarray: an array of quads classified by
1-4 (PySAL default)
Output:
@param list: an array of quads classied by 'HH', 'LL', etc.
"""
return [map_quads(q) for q in quads]

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"""Import all functions for pysal_utils"""
from crankshaft.pysal_utils.pysal_utils import *

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"""
Utilities module for generic PySAL functionality, mainly centered on
translating queries into numpy arrays or PySAL weights objects
"""
import numpy as np
import pysal as ps
def construct_neighbor_query(w_type, query_vals):
"""Return query (a string) used for finding neighbors
@param w_type text: type of neighbors to calculate ('knn' or 'queen')
@param query_vals dict: values used to construct the query
"""
if w_type.lower() == 'knn':
return knn(query_vals)
else:
return queen(query_vals)
## Build weight object
def get_weight(query_res, w_type='knn', num_ngbrs=5):
"""
Construct PySAL weight from return value of query
@param query_res dict-like: query results with attributes and neighbors
"""
# if w_type.lower() == 'knn':
# row_normed_weights = [1.0 / float(num_ngbrs)] * num_ngbrs
# weights = {x['id']: row_normed_weights for x in query_res}
# else:
# weights = {x['id']: [1.0 / len(x['neighbors'])] * len(x['neighbors'])
# if len(x['neighbors']) > 0
# else [] for x in query_res}
neighbors = {x['id']: x['neighbors'] for x in query_res}
print 'len of neighbors: %d' % len(neighbors)
built_weight = ps.W(neighbors)
built_weight.transform = 'r'
return built_weight
def query_attr_select(params):
"""
Create portion of SELECT statement for attributes inolved in query.
@param params: dict of information used in query (column names,
table name, etc.)
"""
attr_string = ""
template = "i.\"%(col)s\"::numeric As attr%(alias_num)s, "
if 'time_cols' in params:
## if markov analysis
attrs = params['time_cols']
for idx, val in enumerate(attrs):
attr_string += template % {"col": val, "alias_num": idx + 1}
else:
## if moran's analysis
attrs = [k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')]
for idx, val in enumerate(sorted(attrs)):
attr_string += template % {"col": params[val], "alias_num": idx + 1}
return attr_string
def query_attr_where(params):
"""
Construct where conditions when building neighbors query
Create portion of WHERE clauses for weeding out NULL-valued geometries
Input: dict of params:
{'subquery': ...,
'numerator': 'data1',
'denominator': 'data2',
'': ...}
Output: 'idx_replace."data1" IS NOT NULL AND idx_replace."data2" IS NOT NULL'
Input:
{'subquery': ...,
'time_cols': ['time1', 'time2', 'time3'],
'etc': ...}
Output: 'idx_replace."time1" IS NOT NULL AND idx_replace."time2" IS NOT
NULL AND idx_replace."time3" IS NOT NULL'
"""
attr_string = []
template = "idx_replace.\"%s\" IS NOT NULL"
if 'time_cols' in params:
## markov where clauses
attrs = params['time_cols']
# add values to template
for attr in attrs:
attr_string.append(template % attr)
else:
## moran where clauses
# get keys
attrs = sorted([k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')])
# add values to template
for attr in attrs:
attr_string.append(template % params[attr])
if len(attrs) == 2:
attr_string.append("idx_replace.\"%s\" <> 0" % params[attrs[1]])
out = " AND ".join(attr_string)
return out
def knn(params):
"""SQL query for k-nearest neighbors.
@param vars: dict of values to fill template
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE " \
"i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"%(attr_where_j)s " \
"ORDER BY " \
"j.\"{geom_col}\" <-> i.\"{geom_col}\" ASC " \
"LIMIT {num_ngbrs})" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## SQL query for finding queens neighbors (all contiguous polygons)
def queen(params):
"""SQL query for queen neighbors.
@param params dict: information to fill query
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"ST_Touches(i.\"{geom_col}\", j.\"{geom_col}\") AND " \
"%(attr_where_j)s)" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## to add more weight methods open a ticket or pull request
def get_attributes(query_res, attr_num=1):
"""
@param query_res: query results with attributes and neighbors
@param attr_num: attribute number (1, 2, ...)
"""
return np.array([x['attr' + str(attr_num)] for x in query_res], dtype=np.float)
def empty_zipped_array(num_nones):
"""
prepare return values for cases of empty weights objects (no neighbors)
Input:
@param num_nones int: number of columns (e.g., 4)
Output:
[(None, None, None, None)]
"""
return [tuple([None] * num_nones)]

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"""Random seed generator used for non-deterministic functions in crankshaft"""
import random
import numpy
def set_random_seeds(value):
"""
Set the seeds of the RNGs (Random Number Generators)
used internally.
"""
random.seed(value)
numpy.random.seed(value)

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from segmentation import *

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"""
Segmentation creation and prediction
"""
import sklearn
import numpy as np
import plpy
from sklearn.ensemble import GradientBoostingRegressor
from sklearn import metrics
from sklearn.cross_validation import train_test_split
# Lower level functions
#----------------------
def replace_nan_with_mean(array):
"""
Input:
@param array: an array of floats which may have null-valued entries
Output:
array with nans filled in with the mean of the dataset
"""
# returns an array of rows and column indices
indices = np.where(np.isnan(array))
# iterate through entries which have nan values
for row, col in zip(*indices):
array[row, col] = np.mean(array[~np.isnan(array[:, col]), col])
return array
def get_data(variable, feature_columns, query):
"""
Fetch data from the database, clean, and package into
numpy arrays
Input:
@param variable: name of the target variable
@param feature_columns: list of column names
@param query: subquery that data is pulled from for the packaging
Output:
prepared data, packaged into NumPy arrays
"""
columns = ','.join(['array_agg("{col}") As "{col}"'.format(col=col) for col in feature_columns])
try:
data = plpy.execute('''SELECT array_agg("{variable}") As target, {columns} FROM ({query}) As a'''.format(
variable=variable,
columns=columns,
query=query))
except Exception, e:
plpy.error('Failed to access data to build segmentation model: %s' % e)
# extract target data from plpy object
target = np.array(data[0]['target'])
# put n feature data arrays into an n x m array of arrays
features = np.column_stack([np.array(data[0][col], dtype=float) for col in feature_columns])
return replace_nan_with_mean(target), replace_nan_with_mean(features)
# High level interface
# --------------------
def create_and_predict_segment_agg(target, features, target_features, target_ids, model_parameters):
"""
Version of create_and_predict_segment that works on arrays that come stright form the SQL calling
the function.
Input:
@param target: The 1D array of lenth NSamples containing the target variable we want the model to predict
@param features: Thw 2D array of size NSamples * NFeatures that form the imput to the model
@param target_ids: A 1D array of target_ids that will be used to associate the results of the prediction with the rows which they come from
@param model_parameters: A dictionary containing parameters for the model.
"""
clean_target = replace_nan_with_mean(target)
clean_features = replace_nan_with_mean(features)
target_features = replace_nan_with_mean(target_features)
model, accuracy = train_model(clean_target, clean_features, model_parameters, 0.2)
prediction = model.predict(target_features)
accuracy_array = [accuracy]*prediction.shape[0]
return zip(target_ids, prediction, np.full(prediction.shape, accuracy_array))
def create_and_predict_segment(query, variable, target_query, model_params):
"""
generate a segment with machine learning
Stuart Lynn
"""
## fetch column names
try:
columns = plpy.execute('SELECT * FROM ({query}) As a LIMIT 1 '.format(query=query))[0].keys()
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
## extract column names to be used in building the segmentation model
feature_columns = set(columns) - set([variable, 'cartodb_id', 'the_geom', 'the_geom_webmercator'])
## get data from database
target, features = get_data(variable, feature_columns, query)
model, accuracy = train_model(target, features, model_params, 0.2)
cartodb_ids, result = predict_segment(model, feature_columns, target_query)
accuracy_array = [accuracy]*result.shape[0]
return zip(cartodb_ids, result, accuracy_array)
def train_model(target, features, model_params, test_split):
"""
Train the Gradient Boosting model on the provided data and calculate the accuracy of the model
Input:
@param target: 1D Array of the variable that the model is to be trianed to predict
@param features: 2D Array NSamples * NFeatures to use in trining the model
@param model_params: A dictionary of model parameters, the full specification can be found on the
scikit learn page for [GradientBoostingRegressor](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.GradientBoostingRegressor.html)
@parma test_split: The fraction of the data to be withheld for testing the model / calculating the accuray
"""
features_train, features_test, target_train, target_test = train_test_split(features, target, test_size=test_split)
model = GradientBoostingRegressor(**model_params)
model.fit(features_train, target_train)
accuracy = calculate_model_accuracy(model, features, target)
return model, accuracy
def calculate_model_accuracy(model, features, target):
"""
Calculate the mean squared error of the model prediction
Input:
@param model: model trained from input features
@param features: features to make a prediction from
@param target: target to compare prediction to
Output:
mean squared error of the model prection compared to the target
"""
prediction = model.predict(features)
return metrics.mean_squared_error(prediction, target)
def predict_segment(model, features, target_query):
"""
Use the provided model to predict the values for the new feature set
Input:
@param model: The pretrained model
@features: A list of features to use in the model prediction (list of column names)
@target_query: The query to run to obtain the data to predict on and the cartdb_ids associated with it.
"""
batch_size = 1000
joined_features = ','.join(['"{0}"::numeric'.format(a) for a in features])
try:
cursor = plpy.cursor('SELECT Array[{joined_features}] As features FROM ({target_query}) As a'.format(
joined_features=joined_features,
target_query=target_query))
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
results = []
while True:
rows = cursor.fetch(batch_size)
if not rows:
break
batch = np.row_stack([np.array(row['features'], dtype=float) for row in rows])
#Need to fix this. Should be global mean. This will cause weird effects
batch = replace_nan_with_mean(batch)
prediction = model.predict(batch)
results.append(prediction)
try:
cartodb_ids = plpy.execute('''SELECT array_agg(cartodb_id ORDER BY cartodb_id) As cartodb_ids FROM ({0}) As a'''.format(target_query))[0]['cartodb_ids']
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
return cartodb_ids, np.concatenate(results)

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"""Import all functions from clustering libraries."""
from markov import *

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"""
Spatial dynamics measurements using Spatial Markov
"""
import numpy as np
import pysal as ps
import plpy
import crankshaft.pysal_utils as pu
def spatial_markov_trend(subquery, time_cols, num_classes=7,
w_type='knn', num_ngbrs=5, permutations=0,
geom_col='the_geom', id_col='cartodb_id'):
"""
Predict the trends of a unit based on:
1. history of its transitions to different classes (e.g., 1st quantile -> 2nd quantile)
2. average class of its neighbors
Inputs:
@param subquery string: e.g., SELECT the_geom, cartodb_id,
interesting_time_column FROM table_name
@param time_cols list of strings: list of strings of column names
@param num_classes (optional): number of classes to break distribution
of values into. Currently uses quantile bins.
@param w_type string (optional): weight type ('knn' or 'queen')
@param num_ngbrs int (optional): number of neighbors (if knn type)
@param permutations int (optional): number of permutations for test
stats
@param geom_col string (optional): name of column which contains the
geometries
@param id_col string (optional): name of column which has the ids of
the table
Outputs:
@param trend_up float: probablity that a geom will move to a higher
class
@param trend_down float: probablity that a geom will move to a lower
class
@param trend float: (trend_up - trend_down) / trend_static
@param volatility float: a measure of the volatility based on
probability stddev(prob array)
"""
if len(time_cols) < 2:
plpy.error('More than one time column needs to be passed')
qvals = {"id_col": id_col,
"time_cols": time_cols,
"geom_col": geom_col,
"subquery": subquery,
"num_ngbrs": num_ngbrs}
try:
query_result = plpy.execute(
pu.construct_neighbor_query(w_type, qvals)
)
if len(query_result) == 0:
return zip([None], [None], [None], [None], [None])
except plpy.SPIError, err:
plpy.debug('Query failed with exception %s: %s' % (err, pu.construct_neighbor_query(w_type, qvals)))
plpy.error('Query failed, check the input parameters')
return zip([None], [None], [None], [None], [None])
## build weight
weights = pu.get_weight(query_result, w_type)
weights.transform = 'r'
## prep time data
t_data = get_time_data(query_result, time_cols)
plpy.debug('shape of t_data %d, %d' % t_data.shape)
plpy.debug('number of weight objects: %d, %d' % (weights.sparse).shape)
plpy.debug('first num elements: %f' % t_data[0, 0])
sp_markov_result = ps.Spatial_Markov(t_data,
weights,
k=num_classes,
fixed=False,
permutations=permutations)
## get lag classes
lag_classes = ps.Quantiles(
ps.lag_spatial(weights, t_data[:, -1]),
k=num_classes).yb
## look up probablity distribution for each unit according to class and lag class
prob_dist = get_prob_dist(sp_markov_result.P,
lag_classes,
sp_markov_result.classes[:, -1])
## find the ups and down and overall distribution of each cell
trend_up, trend_down, trend, volatility = get_prob_stats(prob_dist,
sp_markov_result.classes[:, -1])
## output the results
return zip(trend, trend_up, trend_down, volatility, weights.id_order)
def get_time_data(markov_data, time_cols):
"""
Extract the time columns and bin appropriately
"""
num_attrs = len(time_cols)
return np.array([[x['attr' + str(i)] for x in markov_data]
for i in range(1, num_attrs+1)], dtype=float).transpose()
## not currently used
def rebin_data(time_data, num_time_per_bin):
"""
Convert an n x l matrix into an (n/m) x l matrix where the values are
reduced (averaged) for the intervening states:
1 2 3 4 1.5 3.5
5 6 7 8 -> 5.5 7.5
9 8 7 6 8.5 6.5
5 4 3 2 4.5 2.5
if m = 2, the 4 x 4 matrix is transformed to a 2 x 4 matrix.
This process effectively resamples the data at a longer time span n
units longer than the input data.
For cases when there is a remainder (remainder(5/3) = 2), the remaining
two columns are binned together as the last time period, while the
first three are binned together for the first period.
Input:
@param time_data n x l ndarray: measurements of an attribute at
different time intervals
@param num_time_per_bin int: number of columns to average into a new
column
Output:
ceil(n / m) x l ndarray of resampled time series
"""
if time_data.shape[1] % num_time_per_bin == 0:
## if fit is perfect, then use it
n_max = time_data.shape[1] / num_time_per_bin
else:
## fit remainders into an additional column
n_max = time_data.shape[1] / num_time_per_bin + 1
return np.array([time_data[:, num_time_per_bin * i:num_time_per_bin * (i+1)].mean(axis=1)
for i in range(n_max)]).T
def get_prob_dist(transition_matrix, lag_indices, unit_indices):
"""
Given an array of transition matrices, look up the probability
associated with the arrangements passed
Input:
@param transition_matrix ndarray[k,k,k]:
@param lag_indices ndarray:
@param unit_indices ndarray:
Output:
Array of probability distributions
"""
return np.array([transition_matrix[(lag_indices[i], unit_indices[i])]
for i in range(len(lag_indices))])
def get_prob_stats(prob_dist, unit_indices):
"""
get the statistics of the probability distributions
Outputs:
@param trend_up ndarray(float): sum of probabilities for upward
movement (relative to the unit index of that prob)
@param trend_down ndarray(float): sum of probabilities for downward
movement (relative to the unit index of that prob)
@param trend ndarray(float): difference of upward and downward
movements
"""
num_elements = len(unit_indices)
trend_up = np.empty(num_elements, dtype=float)
trend_down = np.empty(num_elements, dtype=float)
trend = np.empty(num_elements, dtype=float)
for i in range(num_elements):
trend_up[i] = prob_dist[i, (unit_indices[i]+1):].sum()
trend_down[i] = prob_dist[i, :unit_indices[i]].sum()
if prob_dist[i, unit_indices[i]] > 0.0:
trend[i] = (trend_up[i] - trend_down[i]) / prob_dist[i, unit_indices[i]]
else:
trend[i] = None
## calculate volatility of distribution
volatility = prob_dist.std(axis=1)
return trend_up, trend_down, trend, volatility

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"""
CartoDB Spatial Analysis Python Library
See:
https://github.com/CartoDB/crankshaft
"""
from setuptools import setup, find_packages
setup(
name='crankshaft',
version='0.0.0',
description='CartoDB Spatial Analysis Python Library',
url='https://github.com/CartoDB/crankshaft',
author='Data Services Team - CartoDB',
author_email='dataservices@cartodb.com',
license='MIT',
classifiers=[
'Development Status :: 3 - Alpha',
'Intended Audience :: Mapping comunity',
'Topic :: Maps :: Mapping Tools',
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 2.7',
],
keywords='maps mapping tools spatial analysis geostatistics',
packages=find_packages(exclude=['contrib', 'docs', 'tests']),
extras_require={
'dev': ['unittest'],
'test': ['unittest', 'nose', 'mock'],
},
# The choice of component versions is dictated by what's
# provisioned in the production servers.
# IMPORTANT NOTE: please don't change this line. Instead issue a ticket to systems for evaluation.
install_requires=['joblib==0.8.3', 'numpy==1.6.1', 'scipy==0.14.0', 'pysal==1.11.2', 'scikit-learn==0.14.1'],
requires=['pysal', 'numpy', 'sklearn'],
test_suite='test'
)

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"""
CartoDB Spatial Analysis Python Library
See:
https://github.com/CartoDB/crankshaft
"""
from setuptools import setup, find_packages
setup(
name='crankshaft',
version='0.0.0',
description='CartoDB Spatial Analysis Python Library',
url='https://github.com/CartoDB/crankshaft',
author='Data Services Team - CartoDB',
author_email='dataservices@cartodb.com',
license='MIT',
classifiers=[
'Development Status :: 3 - Alpha',
'Intended Audience :: Mapping comunity',
'Topic :: Maps :: Mapping Tools',
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 2.7',
],
keywords='maps mapping tools spatial analysis geostatistics',
packages=find_packages(exclude=['contrib', 'docs', 'tests']),
extras_require={
'dev': ['unittest'],
'test': ['unittest', 'nose', 'mock'],
},
# The choice of component versions is dictated by what's
# provisioned in the production servers.
# IMPORTANT NOTE: please don't change this line. Instead issue a ticket to systems for evaluation.
install_requires=['joblib==0.8.3', 'numpy==1.6.1', 'scipy==0.14.0', 'pysal==1.11.2', 'scikit-learn==0.14.1'],
requires=['pysal', 'numpy', 'sklearn'],
test_suite='test'
)

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[{"xs": [9.917239463463458, 9.042767302696836, 10.798929825304187, 8.763751051762995, 11.383882954810852, 11.018206993460897, 8.939526075734316, 9.636159342565252, 10.136336896960058, 11.480610059427342, 12.115011910725082, 9.173267848893428, 10.239300931201738, 8.00012512174072, 8.979962292282131, 9.318376124429575, 10.82259513754284, 10.391747171927115, 10.04904588886165, 9.96007160443463, -0.78825626804569, -0.3511819898577426, -1.2796410003764271, -0.3977049391203402, 2.4792311265774667, 1.3670311632092624, 1.2963504112955613, 2.0404844103073025, -1.6439708506073223, 0.39122885445645805, 1.026031821452462, -0.04044477160482201, -0.7442346929085072, -0.34687120826243034, -0.23420359971379054, -0.5919629143336708, -0.202903054395391, -0.1893399644841902, 1.9331834251176807, -0.12321054392851609], "ys": [8.735627063679981, 9.857615954045011, 10.81439096759407, 10.586727233537191, 9.232919976568622, 11.54281262696508, 8.392787912674466, 9.355119689665944, 9.22380703532752, 10.542142541823122, 10.111980619367035, 10.760836265570738, 8.819773453269804, 10.25325722424816, 9.802077905695608, 8.955420161552611, 9.833801181904477, 10.491684241001613, 12.076108669877556, 11.74289693140474, -0.5685725015474191, -0.5715728344759778, -0.20180907868635137, 0.38431336480089595, -0.3402202083684184, -2.4652736827783586, 0.08295159401756182, 0.8503818775816505, 0.6488691600321166, 0.5794762568230527, -0.6770063922144103, -0.6557616416449478, -1.2834289177624947, 0.1096318195532717, -0.38986922166834853, -1.6224497706950238, 0.09429787743230483, 0.4005097316394031, -0.508002811195673, -1.2473463371366507], "ids": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]}]

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@@ -0,0 +1 @@
[[0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 0], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 1], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 2], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 3], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 4], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 5], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 6], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 7], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 8], [0.19047619047619049, 0.16, 0.0, 0.32594478059941379, 9], [-0.23529411764705882, 0.0, 0.19047619047619047, 0.31356338348865387, 10], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 11], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 12], [0.027777777777777783, 0.11111111111111112, 0.088888888888888892, 0.30339641183779581, 13], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 14], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 15], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 16], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 17], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 18], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 19], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 20], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 21], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 22], [-0.16666666666666663, 0.18181818181818182, 0.27272727272727271, 0.20246415864836445, 23], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 24], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 25], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 26], [-0.043478260869565216, 0.0, 0.041666666666666664, 0.37950991789118999, 27], [0.22222222222222221, 0.18181818181818182, 0.0, 0.31701083225750354, 28], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 29], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 30], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 31], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 32], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 33], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 34], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 35], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 36], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 37], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 38], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 39], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 40], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 41], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 42], [0.0, 0.0, 0.0, 0.40000000000000002, 43], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 44], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 45], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 46], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 47]]

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[[0.9319096128346788, "HH"],
[-1.135787401862846, "HL"],
[0.11732030672508517, "LL"],
[0.6152779669180425, "LL"],
[-0.14657336660125297, "LH"],
[0.6967858120189607, "LL"],
[0.07949310115714454, "HH"],
[0.4703198759258987, "HH"],
[0.4421125200498064, "HH"],
[0.5724288737143592, "LL"],
[0.8970743435692062, "LL"],
[0.18327334401918674, "LL"],
[-0.01466729201304962, "HL"],
[0.3481559372544409, "LL"],
[0.06547094736902978, "LL"],
[0.15482141569329988, "HH"],
[0.4373841193538136, "HH"],
[0.15971286468915544, "LL"],
[1.0543588860308968, "HH"],
[1.7372866900020818, "HH"],
[1.091998586053999, "LL"],
[0.1171572584252222, "HH"],
[0.08438455015300014, "LL"],
[0.06547094736902978, "LL"],
[0.15482141569329985, "HH"],
[1.1627044812890683, "HH"],
[0.06547094736902978, "LL"],
[0.795275137550483, "HH"],
[0.18562939195219, "LL"],
[0.3010757406693439, "LL"],
[2.8205795942839376, "HH"],
[0.11259190602909264, "LL"],
[-0.07116352791516614, "HL"],
[-0.09945240794119009, "LH"],
[0.18562939195219, "LL"],
[0.1832733440191868, "LL"],
[-0.39054253768447705, "HL"],
[-0.1672071289487642, "HL"],
[0.3337669247916343, "HH"],
[0.2584386102554792, "HH"],
[-0.19733845476322634, "HL"],
[-0.9379282899805409, "LH"],
[-0.028770969951095866, "LH"],
[0.051367269430983485, "LL"],
[-0.2172548045913472, "LH"],
[0.05136726943098351, "LL"],
[0.04191046803899837, "LL"],
[0.7482357030403517, "HH"],
[-0.014585767863118111, "LH"],
[0.5410013139159929, "HH"],
[1.0223932668429925, "LL"],
[1.4179402898927476, "LL"]]

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[
{"neighbors": [48, 26, 20, 9, 31], "id": 1, "value": 0.5},
{"neighbors": [30, 16, 46, 3, 4], "id": 2, "value": 0.7},
{"neighbors": [46, 30, 2, 12, 16], "id": 3, "value": 0.2},
{"neighbors": [18, 30, 23, 2, 52], "id": 4, "value": 0.1},
{"neighbors": [47, 40, 45, 37, 28], "id": 5, "value": 0.3},
{"neighbors": [10, 21, 41, 14, 37], "id": 6, "value": 0.05},
{"neighbors": [8, 17, 43, 25, 12], "id": 7, "value": 0.4},
{"neighbors": [17, 25, 43, 22, 7], "id": 8, "value": 0.7},
{"neighbors": [39, 34, 1, 26, 48], "id": 9, "value": 0.5},
{"neighbors": [6, 37, 5, 45, 49], "id": 10, "value": 0.04},
{"neighbors": [51, 41, 29, 21, 14], "id": 11, "value": 0.08},
{"neighbors": [44, 46, 43, 50, 3], "id": 12, "value": 0.2},
{"neighbors": [45, 23, 14, 28, 18], "id": 13, "value": 0.4},
{"neighbors": [41, 29, 13, 23, 6], "id": 14, "value": 0.2},
{"neighbors": [36, 27, 32, 33, 24], "id": 15, "value": 0.3},
{"neighbors": [19, 2, 46, 44, 28], "id": 16, "value": 0.4},
{"neighbors": [8, 25, 43, 7, 22], "id": 17, "value": 0.6},
{"neighbors": [23, 4, 29, 14, 13], "id": 18, "value": 0.3},
{"neighbors": [42, 16, 28, 26, 40], "id": 19, "value": 0.7},
{"neighbors": [1, 48, 31, 26, 42], "id": 20, "value": 0.8},
{"neighbors": [41, 6, 11, 14, 10], "id": 21, "value": 0.1},
{"neighbors": [25, 50, 43, 31, 44], "id": 22, "value": 0.4},
{"neighbors": [18, 13, 14, 4, 2], "id": 23, "value": 0.1},
{"neighbors": [33, 49, 34, 47, 27], "id": 24, "value": 0.3},
{"neighbors": [43, 8, 22, 17, 50], "id": 25, "value": 0.4},
{"neighbors": [1, 42, 20, 31, 48], "id": 26, "value": 0.6},
{"neighbors": [32, 15, 36, 33, 24], "id": 27, "value": 0.3},
{"neighbors": [40, 45, 19, 5, 13], "id": 28, "value": 0.8},
{"neighbors": [11, 51, 41, 14, 18], "id": 29, "value": 0.3},
{"neighbors": [2, 3, 4, 46, 18], "id": 30, "value": 0.1},
{"neighbors": [20, 26, 1, 50, 48], "id": 31, "value": 0.9},
{"neighbors": [27, 36, 15, 49, 24], "id": 32, "value": 0.3},
{"neighbors": [24, 27, 49, 34, 32], "id": 33, "value": 0.4},
{"neighbors": [47, 9, 39, 40, 24], "id": 34, "value": 0.3},
{"neighbors": [38, 51, 11, 21, 41], "id": 35, "value": 0.3},
{"neighbors": [15, 32, 27, 49, 33], "id": 36, "value": 0.2},
{"neighbors": [49, 10, 5, 47, 24], "id": 37, "value": 0.5},
{"neighbors": [35, 21, 51, 11, 41], "id": 38, "value": 0.4},
{"neighbors": [9, 34, 48, 1, 47], "id": 39, "value": 0.6},
{"neighbors": [28, 47, 5, 9, 34], "id": 40, "value": 0.5},
{"neighbors": [11, 14, 29, 21, 6], "id": 41, "value": 0.4},
{"neighbors": [26, 19, 1, 9, 31], "id": 42, "value": 0.2},
{"neighbors": [25, 12, 8, 22, 44], "id": 43, "value": 0.3},
{"neighbors": [12, 50, 46, 16, 43], "id": 44, "value": 0.2},
{"neighbors": [28, 13, 5, 40, 19], "id": 45, "value": 0.3},
{"neighbors": [3, 12, 44, 2, 16], "id": 46, "value": 0.2},
{"neighbors": [34, 40, 5, 49, 24], "id": 47, "value": 0.3},
{"neighbors": [1, 20, 26, 9, 39], "id": 48, "value": 0.5},
{"neighbors": [24, 37, 47, 5, 33], "id": 49, "value": 0.2},
{"neighbors": [44, 22, 31, 42, 26], "id": 50, "value": 0.6},
{"neighbors": [11, 29, 41, 14, 21], "id": 51, "value": 0.01},
{"neighbors": [4, 18, 29, 51, 23], "id": 52, "value": 0.01}
]

File diff suppressed because one or more lines are too long

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import unittest
from mock_plpy import MockPlPy
plpy = MockPlPy()
import sys
sys.modules['plpy'] = plpy
import os
def fixture_file(name):
dir = os.path.dirname(os.path.realpath(__file__))
return os.path.join(dir, 'fixtures', name)

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import re
class MockCursor:
def __init__(self, data):
self.cursor_pos = 0
self.data = data
def fetch(self, batch_size):
batch = self.data[self.cursor_pos : self.cursor_pos + batch_size]
self.cursor_pos += batch_size
return batch
class MockPlPy:
def __init__(self):
self._reset()
def _reset(self):
self.infos = []
self.notices = []
self.debugs = []
self.logs = []
self.warnings = []
self.errors = []
self.fatals = []
self.executes = []
self.results = []
self.prepares = []
self.results = []
def _define_result(self, query, result):
pattern = re.compile(query, re.IGNORECASE | re.MULTILINE)
self.results.append([pattern, result])
def notice(self, msg):
self.notices.append(msg)
def debug(self, msg):
self.notices.append(msg)
def info(self, msg):
self.infos.append(msg)
def cursor(self, query):
data = self.execute(query)
return MockCursor(data)
def execute(self, query): # TODO: additional arguments
for result in self.results:
if result[0].match(query):
return result[1]
return []

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import numpy as np
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class KMeansTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.cluster_data = json.loads(open(fixture_file('kmeans.json')).read())
self.params = {"subquery": "select * from table",
"no_clusters": "10"
}
def test_kmeans(self):
data = self.cluster_data
plpy._define_result('select' ,data)
clusters = cc.kmeans('subquery', 2)
labels = [a[1] for a in clusters]
c1 = [a for a in clusters if a[1]==0]
c2 = [a for a in clusters if a[1]==1]
self.assertEqual(len(np.unique(labels)),2)
self.assertEqual(len(c1),20)
self.assertEqual(len(c2),20)

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class MoranTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_markov = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors.json')).read())
self.moran_data = json.loads(open(fixture_file('moran.json')).read())
def test_map_quads(self):
"""Test map_quads"""
self.assertEqual(cc.map_quads(1), 'HH')
self.assertEqual(cc.map_quads(2), 'LH')
self.assertEqual(cc.map_quads(3), 'LL')
self.assertEqual(cc.map_quads(4), 'HL')
self.assertEqual(cc.map_quads(33), None)
self.assertEqual(cc.map_quads('andy'), None)
def test_quad_position(self):
"""Test lisa_sig_vals"""
quads = np.array([1, 2, 3, 4], np.int)
ans = np.array(['HH', 'LH', 'LL', 'HL'])
test_ans = cc.quad_position(quads)
self.assertTrue((test_ans == ans).all())
def test_moran_local(self):
"""Test Moran's I local"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local('subquery', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
self.assertEqual(res_quad, exp_quad)
def test_moran_local_rate(self):
"""Test Moran's I rate"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'attr2': 1, 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local_rate('subquery', 'numerator', 'denominator', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None? ', result == None
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
def test_moran(self):
"""Test Moran's I global"""
data = [{ 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1235)
result = cc.moran('table', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None?', result == None
result_moran = result[0][0]
expected_moran = np.array([row[0] for row in self.moran_data]).mean()
self.assertAlmostEqual(expected_moran, result_moran, delta=10e-2)

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import unittest
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
class PysalUtilsTest(unittest.TestCase):
"""Testing class for utility functions related to PySAL integrations"""
def setUp(self):
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_array = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
def test_query_attr_select(self):
"""Test query_attr_select"""
ans = "i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, "
ans_array = "i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, "
self.assertEqual(pu.query_attr_select(self.params), ans)
self.assertEqual(pu.query_attr_select(self.params_array), ans_array)
def test_query_attr_where(self):
"""Test pu.query_attr_where"""
ans = "idx_replace.\"andy\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" <> 0"
ans_array = "idx_replace.\"_2013_dec\" IS NOT NULL AND " \
"idx_replace.\"_2014_jan\" IS NOT NULL AND " \
"idx_replace.\"_2014_feb\" IS NOT NULL"
self.assertEqual(pu.query_attr_where(self.params), ans)
self.assertEqual(pu.query_attr_where(self.params_array), ans_array)
def test_knn(self):
"""Test knn neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0 " \
"ORDER BY " \
"j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
ans_array = "SELECT i.\"cartodb_id\" As id, " \
"i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"_2013_dec\" IS NOT NULL AND " \
"j.\"_2014_jan\" IS NOT NULL AND " \
"j.\"_2014_feb\" IS NOT NULL " \
"ORDER BY j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"_2013_dec\" IS NOT NULL AND " \
"i.\"_2014_jan\" IS NOT NULL AND " \
"i.\"_2014_feb\" IS NOT NULL "\
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.knn(self.params), ans)
self.assertEqual(pu.knn(self.params_array), ans_array)
def test_queen(self):
"""Test queen neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"ST_Touches(i.\"the_geom\", " \
"j.\"the_geom\") AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0)" \
") As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.queen(self.params), ans)
def test_construct_neighbor_query(self):
"""Test construct_neighbor_query"""
# Compare to raw knn query
self.assertEqual(pu.construct_neighbor_query('knn', self.params),
pu.knn(self.params))
def test_get_attributes(self):
"""Test get_attributes"""
## need to add tests
self.assertEqual(True, True)
def test_get_weight(self):
"""Test get_weight"""
self.assertEqual(True, True)
def test_empty_zipped_array(self):
"""Test empty_zipped_array"""
ans2 = [(None, None)]
ans4 = [(None, None, None, None)]
self.assertEqual(pu.empty_zipped_array(2), ans2)
self.assertEqual(pu.empty_zipped_array(4), ans4)

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import unittest
import numpy as np
from helper import plpy, fixture_file
import crankshaft.segmentation as segmentation
import json
class SegmentationTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
def generate_random_data(self,n_samples,random_state, row_type=False):
x1 = random_state.uniform(size=n_samples)
x2 = random_state.uniform(size=n_samples)
x3 = random_state.randint(0, 4, size=n_samples)
y = x1+x2*x2+x3
cartodb_id = range(len(x1))
if row_type:
return [ {'features': vals} for vals in zip(x1,x2,x3)], y
else:
return [dict( zip(['x1','x2','x3','target', 'cartodb_id'],[x1,x2,x3,y,cartodb_id]))]
def test_replace_nan_with_mean(self):
test_array = np.array([1.2, np.nan, 3.2, np.nan, np.nan])
def test_create_and_predict_segment(self):
n_samples = 1000
random_state_train = np.random.RandomState(13)
random_state_test = np.random.RandomState(134)
training_data = self.generate_random_data(n_samples, random_state_train)
test_data, test_y = self.generate_random_data(n_samples, random_state_test, row_type=True)
ids = [{'cartodb_ids': range(len(test_data))}]
rows = [{'x1': 0,'x2':0,'x3':0,'y':0,'cartodb_id':0}]
plpy._define_result('select \* from \(select \* from training\) a limit 1',rows)
plpy._define_result('.*from \(select \* from training\) as a' ,training_data)
plpy._define_result('select array_agg\(cartodb\_id order by cartodb\_id\) as cartodb_ids from \(.*\) a',ids)
plpy._define_result('.*select \* from test.*' ,test_data)
model_parameters = {'n_estimators': 1200,
'max_depth': 3,
'subsample' : 0.5,
'learning_rate': 0.01,
'min_samples_leaf': 1}
result = segmentation.create_and_predict_segment(
'select * from training',
'target',
'select * from test',
model_parameters)
prediction = [r[1] for r in result]
accuracy =np.sqrt(np.mean( np.square( np.array(prediction) - np.array(test_y))))
self.assertEqual(len(result),len(test_data))
self.assertTrue( result[0][2] < 0.01)
self.assertTrue( accuracy < 0.5*np.mean(test_y) )

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import unittest
import numpy as np
import unittest
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.space_time_dynamics as std
from crankshaft import random_seeds
import json
class SpaceTimeTests(unittest.TestCase):
"""Testing class for Markov Functions."""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"time_cols": ['dec_2013', 'jan_2014', 'feb_2014'],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors_markov.json')).read())
self.markov_data = json.loads(open(fixture_file('markov.json')).read())
self.time_data = np.array([i * np.ones(10, dtype=float) for i in range(10)]).T
self.transition_matrix = np.array([
[[ 0.96341463, 0.0304878 , 0.00609756, 0. , 0. ],
[ 0.06040268, 0.83221477, 0.10738255, 0. , 0. ],
[ 0. , 0.14 , 0.74 , 0.12 , 0. ],
[ 0. , 0.03571429, 0.32142857, 0.57142857, 0.07142857],
[ 0. , 0. , 0. , 0.16666667, 0.83333333]],
[[ 0.79831933, 0.16806723, 0.03361345, 0. , 0. ],
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0.00537634, 0.06989247, 0.8655914 , 0.05913978, 0. ],
[ 0. , 0. , 0.06372549, 0.90196078, 0.03431373],
[ 0. , 0. , 0. , 0.19444444, 0.80555556]],
[[ 0.84693878, 0.15306122, 0. , 0. , 0. ],
[ 0.08133971, 0.78947368, 0.1291866 , 0. , 0. ],
[ 0.00518135, 0.0984456 , 0.79274611, 0.0984456 , 0.00518135],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0. , 0. , 0. , 0.10204082, 0.89795918]],
[[ 0.8852459 , 0.09836066, 0. , 0.01639344, 0. ],
[ 0.03875969, 0.81395349, 0.13953488, 0. , 0.00775194],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0.02339181, 0.12865497, 0.75438596, 0.09356725],
[ 0. , 0. , 0. , 0.09661836, 0.90338164]],
[[ 0.33333333, 0.66666667, 0. , 0. , 0. ],
[ 0.0483871 , 0.77419355, 0.16129032, 0.01612903, 0. ],
[ 0.01149425, 0.16091954, 0.74712644, 0.08045977, 0. ],
[ 0. , 0.01036269, 0.06217617, 0.89637306, 0.03108808],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]]]
)
def test_spatial_markov(self):
"""Test Spatial Markov."""
data = [ { 'id': d['id'],
'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'],
'neighbors': d['neighbors'] } for d in self.neighbors_data]
print(str(data[0]))
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = std.spatial_markov_trend('subquery', ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'], 5, 'knn', 5, 0, 'the_geom', 'cartodb_id')
self.assertTrue(result != None)
result = [(row[0], row[1], row[2], row[3], row[4]) for row in result]
print result[0]
expected = self.markov_data
for ([res_trend, res_up, res_down, res_vol, res_id],
[exp_trend, exp_up, exp_down, exp_vol, exp_id]
) in zip(result, expected):
self.assertAlmostEqual(res_trend, exp_trend)
def test_get_time_data(self):
"""Test get_time_data"""
data = [ { 'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'] } for d in self.neighbors_data]
result = std.get_time_data(data, ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'])
## expected was prepared from PySAL example:
### f = ps.open(ps.examples.get_path("usjoin.csv"))
### pci = np.array([f.by_col[str(y)] for y in range(1995, 2010)]).transpose()
### rpci = pci / (pci.mean(axis = 0))
expected = np.array([[ 0.87654416, 0.863147, 0.85637567, 0.84811668, 0.8446154, 0.83271652
, 0.83786314, 0.85012593, 0.85509656, 0.86416612, 0.87119375, 0.86302631
, 0.86148267, 0.86252252, 0.86746356],
[ 0.9188951, 0.91757931, 0.92333258, 0.92517289, 0.92552388, 0.90746978
, 0.89830489, 0.89431991, 0.88924794, 0.89815176, 0.91832091, 0.91706054
, 0.90139505, 0.87897455, 0.86216858],
[ 0.82591007, 0.82548596, 0.81989793, 0.81503235, 0.81731522, 0.78964559
, 0.80584442, 0.8084998, 0.82258551, 0.82668196, 0.82373724, 0.81814804
, 0.83675961, 0.83574199, 0.84647177],
[ 1.09088176, 1.08537689, 1.08456418, 1.08415404, 1.09898841, 1.14506948
, 1.12151133, 1.11160697, 1.10888621, 1.11399806, 1.12168029, 1.13164797
, 1.12958508, 1.11371818, 1.09936775],
[ 1.10731446, 1.11373944, 1.13283638, 1.14472559, 1.15910025, 1.16898201
, 1.17212488, 1.14752303, 1.11843284, 1.11024964, 1.11943471, 1.11736468
, 1.10863242, 1.09642516, 1.07762337],
[ 1.42269757, 1.42118434, 1.44273502, 1.43577571, 1.44400684, 1.44184737
, 1.44782832, 1.41978227, 1.39092208, 1.4059372, 1.40788646, 1.44052766
, 1.45241216, 1.43306098, 1.4174431 ],
[ 1.13073885, 1.13110513, 1.11074708, 1.13364636, 1.13088149, 1.10888138
, 1.11856629, 1.13062931, 1.11944984, 1.12446239, 1.11671008, 1.10880034
, 1.08401709, 1.06959206, 1.07875225],
[ 1.04706124, 1.04516831, 1.04253372, 1.03239987, 1.02072545, 0.99854316
, 0.9880258, 0.99669587, 0.99327676, 1.01400905, 1.03176742, 1.040511
, 1.01749645, 0.9936394, 0.98279746],
[ 0.98996986, 1.00143564, 0.99491, 1.00188408, 1.00455845, 0.99127006
, 0.97925917, 0.9683482, 0.95335147, 0.93694787, 0.94308213, 0.92232874
, 0.91284091, 0.89689833, 0.88928858],
[ 0.87418391, 0.86416601, 0.84425695, 0.8404494, 0.83903044, 0.8578708
, 0.86036185, 0.86107306, 0.8500772, 0.86981998, 0.86837929, 0.87204141
, 0.86633032, 0.84946077, 0.83287146],
[ 1.14196118, 1.14660262, 1.14892712, 1.14909594, 1.14436624, 1.14450183
, 1.12349752, 1.12596664, 1.12213996, 1.1119989, 1.10257792, 1.10491258
, 1.11059842, 1.10509795, 1.10020097],
[ 0.97282463, 0.96700147, 0.96252588, 0.9653878, 0.96057687, 0.95831051
, 0.94480909, 0.94804195, 0.95430286, 0.94103989, 0.92122519, 0.91010201
, 0.89280392, 0.89298243, 0.89165385],
[ 0.94325468, 0.96436902, 0.96455242, 0.95243009, 0.94117647, 0.9480927
, 0.93539182, 0.95388718, 0.94597005, 0.96918424, 0.94781281, 0.93466815
, 0.94281559, 0.96520315, 0.96715441],
[ 0.97478408, 0.98169225, 0.98712809, 0.98474769, 0.98559897, 0.98687073
, 0.99237486, 0.98209969, 0.9877653, 0.97399471, 0.96910087, 0.98416665
, 0.98423613, 0.99823861, 0.99545704],
[ 0.85570269, 0.85575915, 0.85986132, 0.85693406, 0.8538012, 0.86191535
, 0.84981451, 0.85472102, 0.84564835, 0.83998883, 0.83478547, 0.82803648
, 0.8198736, 0.82265395, 0.8399404 ],
[ 0.87022047, 0.85996258, 0.85961813, 0.85689572, 0.83947136, 0.82785597
, 0.86008789, 0.86776298, 0.86720209, 0.8676334, 0.89179317, 0.94202108
, 0.9422231, 0.93902708, 0.94479184],
[ 0.90134907, 0.90407738, 0.90403991, 0.90201769, 0.90399238, 0.90906632
, 0.92693339, 0.93695966, 0.94242697, 0.94338265, 0.91981796, 0.91108804
, 0.90543476, 0.91737138, 0.94793657],
[ 1.1977611, 1.18222564, 1.18439158, 1.18267865, 1.19286723, 1.20172869
, 1.21328691, 1.22624778, 1.22397075, 1.23857042, 1.24419893, 1.23929384
, 1.23418676, 1.23626739, 1.26754398],
[ 1.24919678, 1.25754773, 1.26991161, 1.28020651, 1.30625667, 1.34790023
, 1.34399863, 1.32575181, 1.30795492, 1.30544841, 1.30303302, 1.32107766
, 1.32936244, 1.33001241, 1.33288462],
[ 1.06768004, 1.03799276, 1.03637303, 1.02768449, 1.03296093, 1.05059016
, 1.03405057, 1.02747623, 1.03162734, 0.9961416, 0.97356208, 0.94241549
, 0.92754547, 0.92549227, 0.92138102],
[ 1.09475614, 1.11526796, 1.11654299, 1.13103948, 1.13143264, 1.13889622
, 1.12442212, 1.13367018, 1.13982256, 1.14029944, 1.11979401, 1.10905389
, 1.10577769, 1.11166825, 1.09985155],
[ 0.76530058, 0.76612841, 0.76542451, 0.76722683, 0.76014284, 0.74480073
, 0.76098396, 0.76156903, 0.76651952, 0.76533288, 0.78205934, 0.76842416
, 0.77487118, 0.77768683, 0.78801192],
[ 0.98391336, 0.98075816, 0.98295341, 0.97386015, 0.96913803, 0.97370819
, 0.96419154, 0.97209861, 0.97441313, 0.96356162, 0.94745352, 0.93965462
, 0.93069645, 0.94020973, 0.94358232],
[ 0.83561828, 0.82298088, 0.81738502, 0.81748588, 0.80904801, 0.80071489
, 0.83358256, 0.83451613, 0.85175032, 0.85954307, 0.86790024, 0.87170334
, 0.87863799, 0.87497981, 0.87888675],
[ 0.98845573, 1.02092428, 0.99665283, 0.99141823, 0.99386619, 0.98733195
, 0.99644997, 0.99669587, 1.02559097, 1.01116651, 0.99988024, 0.97906749
, 0.99323123, 1.00204939, 0.99602148],
[ 1.14930913, 1.15241949, 1.14300962, 1.14265542, 1.13984683, 1.08312397
, 1.05192626, 1.04230892, 1.05577278, 1.08569751, 1.12443486, 1.08891079
, 1.08603695, 1.05997314, 1.02160943],
[ 1.11368269, 1.1057147, 1.11893431, 1.13778669, 1.1432272, 1.18257029
, 1.16226243, 1.16009196, 1.14467789, 1.14820235, 1.12386598, 1.12680236
, 1.12357937, 1.1159258, 1.12570828],
[ 1.30379431, 1.30752186, 1.31206366, 1.31532267, 1.30625667, 1.31210239
, 1.29989156, 1.29203193, 1.27183516, 1.26830786, 1.2617743, 1.28656675
, 1.29734097, 1.29390205, 1.29345446],
[ 0.83953719, 0.82701448, 0.82006005, 0.81188876, 0.80294864, 0.78772975
, 0.82848011, 0.8259679, 0.82435705, 0.83108634, 0.84373784, 0.83891093
, 0.84349247, 0.85637272, 0.86539395],
[ 1.23450087, 1.2426022, 1.23537935, 1.23581293, 1.24522626, 1.2256767
, 1.21126648, 1.19377804, 1.18355337, 1.19674434, 1.21536573, 1.23653297
, 1.27962009, 1.27968392, 1.25907738],
[ 0.9769662, 0.97400719, 0.98035944, 0.97581531, 0.95543282, 0.96480308
, 0.94686376, 0.93679073, 0.92540049, 0.92988835, 0.93442917, 0.92100464
, 0.91475304, 0.90249622, 0.9021363 ],
[ 0.84986886, 0.8986851, 0.84295997, 0.87280534, 0.85659368, 0.88937573
, 0.894401, 0.90448993, 0.95495898, 0.92698333, 0.94745352, 0.92562488
, 0.96635366, 1.02520312, 1.0394296 ],
[ 1.01922808, 1.00258203, 1.00974428, 1.00303417, 0.99765073, 1.00759019
, 0.99192968, 0.99747298, 0.99550759, 0.97583768, 0.9610168, 0.94779638
, 0.93759089, 0.93353431, 0.94121705],
[ 0.86367411, 0.85558932, 0.85544346, 0.85103025, 0.84336613, 0.83434854
, 0.85813595, 0.84667961, 0.84374558, 0.85951183, 0.87194227, 0.89455097
, 0.88283929, 0.90349491, 0.90600675],
[ 1.00947534, 1.00411055, 1.00698819, 0.99513687, 0.99291086, 1.00581626
, 0.98850522, 0.99291168, 0.98983209, 0.97511924, 0.96134615, 0.96382634
, 0.95011401, 0.9434686, 0.94637765],
[ 1.05712571, 1.05459419, 1.05753012, 1.04880786, 1.05103857, 1.04800023
, 1.03024941, 1.04200483, 1.0402554, 1.03296979, 1.02191682, 1.02476275
, 1.02347523, 1.02517684, 1.04359571],
[ 1.07084189, 1.06669497, 1.07937623, 1.07387988, 1.0794043, 1.0531801
, 1.07452771, 1.09383478, 1.1052447, 1.10322136, 1.09167939, 1.08772756
, 1.08859544, 1.09177338, 1.1096083 ],
[ 0.86719222, 0.86628896, 0.86675156, 0.86425632, 0.86511809, 0.86287327
, 0.85169796, 0.85411285, 0.84886336, 0.84517414, 0.84843858, 0.84488343
, 0.83374329, 0.82812044, 0.82878599],
[ 0.88389211, 0.92288667, 0.90282398, 0.91229186, 0.92023286, 0.92652175
, 0.94278865, 0.93682452, 0.98655146, 0.992237, 0.9798497, 0.93869677
, 0.96947771, 1.00362626, 0.98102351],
[ 0.97082064, 0.95320233, 0.94534081, 0.94215593, 0.93967, 0.93092109
, 0.92662519, 0.93412152, 0.93501274, 0.92879506, 0.92110542, 0.91035556
, 0.90430364, 0.89994694, 0.90073864],
[ 0.95861858, 0.95774543, 0.98254811, 0.98919472, 0.98684824, 0.98882205
, 0.97662234, 0.95601578, 0.94905385, 0.94934888, 0.97152609, 0.97163004
, 0.9700702, 0.97158948, 0.95884908],
[ 0.83980439, 0.84726737, 0.85747, 0.85467221, 0.8556751, 0.84818516
, 0.85265681, 0.84502402, 0.82645665, 0.81743586, 0.83550406, 0.83338919
, 0.83511679, 0.82136617, 0.80921874],
[ 0.95118156, 0.9466212, 0.94688098, 0.9508583, 0.9512441, 0.95440787
, 0.96364363, 0.96804412, 0.97136214, 0.97583768, 0.95571724, 0.96895368
, 0.97001634, 0.97082733, 0.98782366],
[ 1.08910044, 1.08248968, 1.08492895, 1.08656923, 1.09454249, 1.10558188
, 1.1214086, 1.12292577, 1.13021031, 1.13342735, 1.14686068, 1.14502975
, 1.14474747, 1.14084037, 1.16142926],
[ 1.06336033, 1.07365823, 1.08691496, 1.09764846, 1.11669863, 1.11856702
, 1.09764283, 1.08815849, 1.08044313, 1.09278827, 1.07003204, 1.08398066
, 1.09831768, 1.09298232, 1.09176125],
[ 0.79772065, 0.78829196, 0.78581151, 0.77615922, 0.77035744, 0.77751194
, 0.79902974, 0.81437881, 0.80788828, 0.79603865, 0.78966436, 0.79949807
, 0.80172182, 0.82168155, 0.85587911],
[ 1.0052447, 1.00007696, 1.00475899, 1.00613942, 1.00639561, 1.00162979
, 0.99860739, 1.00814981, 1.00574316, 0.99030032, 0.97682565, 0.97292596
, 0.96519561, 0.96173403, 0.95890284],
[ 0.95808419, 0.9382568, 0.9654441, 0.95561201, 0.96987289, 0.96608031
, 0.99727185, 1.00781194, 1.03484236, 1.05333619, 1.0983263, 1.1704974
, 1.17025154, 1.18730553, 1.14242645]])
self.assertTrue(np.allclose(result, expected))
self.assertTrue(type(result) == type(expected))
self.assertTrue(result.shape == expected.shape)
def test_rebin_data(self):
"""Test rebin_data"""
## sample in double the time (even case since 10 % 2 = 0):
## (0+1)/2, (2+3)/2, (4+5)/2, (6+7)/2, (8+9)/2
## = 0.5, 2.5, 4.5, 6.5, 8.5
ans_even = np.array([(i + 0.5) * np.ones(10, dtype=float)
for i in range(0, 10, 2)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 2), ans_even))
## sample in triple the time (uneven since 10 % 3 = 1):
## (0+1+2)/3, (3+4+5)/3, (6+7+8)/3, (9)/1
## = 1, 4, 7, 9
ans_odd = np.array([i * np.ones(10, dtype=float)
for i in (1, 4, 7, 9)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 3), ans_odd))
def test_get_prob_dist(self):
"""Test get_prob_dist"""
lag_indices = np.array([1, 2, 3, 4])
unit_indices = np.array([1, 3, 2, 4])
answer = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
result = std.get_prob_dist(self.transition_matrix, lag_indices, unit_indices)
self.assertTrue(np.array_equal(result, answer))
def test_get_prob_stats(self):
"""Test get_prob_stats"""
probs = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
unit_indices = np.array([1, 3, 2, 4])
answer_up = np.array([0.04245283, 0.03529412, 0.12376238, 0.])
answer_down = np.array([0.0754717, 0.09411765, 0.0990099, 0.02352941])
answer_trend = np.array([-0.03301887 / 0.88207547, -0.05882353 / 0.87058824, 0.02475248 / 0.77722772, -0.02352941 / 0.97647059])
answer_volatility = np.array([ 0.34221495, 0.33705421, 0.29226542, 0.38834223])
result = std.get_prob_stats(probs, unit_indices)
result_up = result[0]
result_down = result[1]
result_trend = result[2]
result_volatility = result[3]
self.assertTrue(np.allclose(result_up, answer_up))
self.assertTrue(np.allclose(result_down, answer_down))
self.assertTrue(np.allclose(result_trend, answer_trend))
self.assertTrue(np.allclose(result_volatility, answer_volatility))

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"""Import all modules"""
import crankshaft.random_seeds
import crankshaft.clustering
import crankshaft.space_time_dynamics
import crankshaft.segmentation

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"""Import all functions from for clustering"""
from moran import *
from kmeans import *

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from sklearn.cluster import KMeans
import plpy
def kmeans(query, no_clusters, no_init=20):
data = plpy.execute('''select array_agg(cartodb_id order by cartodb_id) as ids,
array_agg(ST_X(the_geom) order by cartodb_id) xs,
array_agg(ST_Y(the_geom) order by cartodb_id) ys from ({query}) a
where the_geom is not null
'''.format(query=query))
xs = data[0]['xs']
ys = data[0]['ys']
ids = data[0]['ids']
km = KMeans(n_clusters= no_clusters, n_init=no_init)
labels = km.fit_predict(zip(xs,ys))
return zip(ids,labels)

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"""
Moran's I geostatistics (global clustering & outliers presence)
"""
# TODO: Fill in local neighbors which have null/NoneType values with the
# average of the their neighborhood
import pysal as ps
import plpy
from collections import OrderedDict
# crankshaft module
import crankshaft.pysal_utils as pu
# High level interface ---------------------------------------
def moran(subquery, attr_name,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I (global)
Implementation building neighbors with a PostGIS database and Moran's I
core clusters with PySAL.
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", attr_name),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
attr_vals = pu.get_attributes(result)
## calculate weights
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global
moran_global = ps.esda.moran.Moran(attr_vals, weight,
permutations=permutations)
return zip([moran_global.I], [moran_global.EI])
def moran_local(subquery, attr,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I implementation for PL/Python
Andy Eschbacher
"""
# geometries with attributes that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("attr1", attr),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(5)
attr_vals = pu.get_attributes(result)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local(attr_vals, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Rate (global)
Andy Eschbacher
"""
qvals = OrderedDict([("id_col", id_col),
("attr1", numerator),
("attr2", denominator)
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
plpy.notice('** Query: %s' % query)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(2)
plpy.notice('** Query returned with %d rows' % len(result))
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(2)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
## calculate moran global rate
lisa_rate = ps.esda.moran.Moran_Rate(numer, denom, weight,
permutations=permutations)
return zip([lisa_rate.I], [lisa_rate.EI])
def moran_local_rate(subquery, numerator, denominator,
w_type, num_ngbrs, permutations, geom_col, id_col):
"""
Moran's I Local Rate
Andy Eschbacher
"""
# geometries with values that are null are ignored
# resulting in a collection of not as near neighbors
qvals = OrderedDict([("id_col", id_col),
("numerator", numerator),
("denominator", denominator),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(5)
except plpy.SPIError:
plpy.error('Error: areas of interest query failed, check input parameters')
plpy.notice('** Query failed: "%s"' % query)
plpy.notice('** Error: %s' % plpy.SPIError)
return pu.empty_zipped_array(5)
## collect attributes
numer = pu.get_attributes(result, 1)
denom = pu.get_attributes(result, 2)
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_Rate(numer, denom, weight,
permutations=permutations)
# find quadrants for each geometry
quads = quad_position(lisa.q)
return zip(lisa.Is, quads, lisa.p_sim, weight.id_order, lisa.y)
def moran_local_bv(subquery, attr1, attr2,
permutations, geom_col, id_col, w_type, num_ngbrs):
"""
Moran's I (local) Bivariate (untested)
"""
plpy.notice('** Constructing query')
qvals = OrderedDict([("id_col", id_col),
("attr1", attr1),
("attr2", attr2),
("geom_col", geom_col),
("subquery", subquery),
("num_ngbrs", num_ngbrs)])
query = pu.construct_neighbor_query(w_type, qvals)
try:
result = plpy.execute(query)
# if there are no neighbors, exit
if len(result) == 0:
return pu.empty_zipped_array(4)
except plpy.SPIError:
plpy.error("Error: areas of interest query failed, " \
"check input parameters")
plpy.notice('** Query failed: "%s"' % query)
return pu.empty_zipped_array(4)
## collect attributes
attr1_vals = pu.get_attributes(result, 1)
attr2_vals = pu.get_attributes(result, 2)
# create weights
weight = pu.get_weight(result, w_type, num_ngbrs)
# calculate LISA values
lisa = ps.esda.moran.Moran_Local_BV(attr1_vals, attr2_vals, weight,
permutations=permutations)
plpy.notice("len of Is: %d" % len(lisa.Is))
# find clustering of significance
lisa_sig = quad_position(lisa.q)
plpy.notice('** Finished calculations')
return zip(lisa.Is, lisa_sig, lisa.p_sim, weight.id_order)
# Low level functions ----------------------------------------
def map_quads(coord):
"""
Map a quadrant number to Moran's I designation
HH=1, LH=2, LL=3, HL=4
Input:
@param coord (int): quadrant of a specific measurement
Output:
classification (one of 'HH', 'LH', 'LL', or 'HL')
"""
if coord == 1:
return 'HH'
elif coord == 2:
return 'LH'
elif coord == 3:
return 'LL'
elif coord == 4:
return 'HL'
else:
return None
def quad_position(quads):
"""
Produce Moran's I classification based of n
Input:
@param quads ndarray: an array of quads classified by
1-4 (PySAL default)
Output:
@param list: an array of quads classied by 'HH', 'LL', etc.
"""
return [map_quads(q) for q in quads]

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"""Import all functions for pysal_utils"""
from crankshaft.pysal_utils.pysal_utils import *

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"""
Utilities module for generic PySAL functionality, mainly centered on
translating queries into numpy arrays or PySAL weights objects
"""
import numpy as np
import pysal as ps
def construct_neighbor_query(w_type, query_vals):
"""Return query (a string) used for finding neighbors
@param w_type text: type of neighbors to calculate ('knn' or 'queen')
@param query_vals dict: values used to construct the query
"""
if w_type.lower() == 'knn':
return knn(query_vals)
else:
return queen(query_vals)
## Build weight object
def get_weight(query_res, w_type='knn', num_ngbrs=5):
"""
Construct PySAL weight from return value of query
@param query_res dict-like: query results with attributes and neighbors
"""
# if w_type.lower() == 'knn':
# row_normed_weights = [1.0 / float(num_ngbrs)] * num_ngbrs
# weights = {x['id']: row_normed_weights for x in query_res}
# else:
# weights = {x['id']: [1.0 / len(x['neighbors'])] * len(x['neighbors'])
# if len(x['neighbors']) > 0
# else [] for x in query_res}
neighbors = {x['id']: x['neighbors'] for x in query_res}
print 'len of neighbors: %d' % len(neighbors)
built_weight = ps.W(neighbors)
built_weight.transform = 'r'
return built_weight
def query_attr_select(params):
"""
Create portion of SELECT statement for attributes inolved in query.
@param params: dict of information used in query (column names,
table name, etc.)
"""
attr_string = ""
template = "i.\"%(col)s\"::numeric As attr%(alias_num)s, "
if 'time_cols' in params:
## if markov analysis
attrs = params['time_cols']
for idx, val in enumerate(attrs):
attr_string += template % {"col": val, "alias_num": idx + 1}
else:
## if moran's analysis
attrs = [k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')]
for idx, val in enumerate(sorted(attrs)):
attr_string += template % {"col": params[val], "alias_num": idx + 1}
return attr_string
def query_attr_where(params):
"""
Construct where conditions when building neighbors query
Create portion of WHERE clauses for weeding out NULL-valued geometries
Input: dict of params:
{'subquery': ...,
'numerator': 'data1',
'denominator': 'data2',
'': ...}
Output: 'idx_replace."data1" IS NOT NULL AND idx_replace."data2" IS NOT NULL'
Input:
{'subquery': ...,
'time_cols': ['time1', 'time2', 'time3'],
'etc': ...}
Output: 'idx_replace."time1" IS NOT NULL AND idx_replace."time2" IS NOT
NULL AND idx_replace."time3" IS NOT NULL'
"""
attr_string = []
template = "idx_replace.\"%s\" IS NOT NULL"
if 'time_cols' in params:
## markov where clauses
attrs = params['time_cols']
# add values to template
for attr in attrs:
attr_string.append(template % attr)
else:
## moran where clauses
# get keys
attrs = sorted([k for k in params
if k not in ('id_col', 'geom_col', 'subquery', 'num_ngbrs', 'subquery')])
# add values to template
for attr in attrs:
attr_string.append(template % params[attr])
if len(attrs) == 2:
attr_string.append("idx_replace.\"%s\" <> 0" % params[attrs[1]])
out = " AND ".join(attr_string)
return out
def knn(params):
"""SQL query for k-nearest neighbors.
@param vars: dict of values to fill template
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE " \
"i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"%(attr_where_j)s " \
"ORDER BY " \
"j.\"{geom_col}\" <-> i.\"{geom_col}\" ASC " \
"LIMIT {num_ngbrs})" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## SQL query for finding queens neighbors (all contiguous polygons)
def queen(params):
"""SQL query for queen neighbors.
@param params dict: information to fill query
"""
attr_select = query_attr_select(params)
attr_where = query_attr_where(params)
replacements = {"attr_select": attr_select,
"attr_where_i": attr_where.replace("idx_replace", "i"),
"attr_where_j": attr_where.replace("idx_replace", "j")}
query = "SELECT " \
"i.\"{id_col}\" As id, " \
"%(attr_select)s" \
"(SELECT ARRAY(SELECT j.\"{id_col}\" " \
"FROM ({subquery}) As j " \
"WHERE i.\"{id_col}\" <> j.\"{id_col}\" AND " \
"ST_Touches(i.\"{geom_col}\", j.\"{geom_col}\") AND " \
"%(attr_where_j)s)" \
") As neighbors " \
"FROM ({subquery}) As i " \
"WHERE " \
"%(attr_where_i)s " \
"ORDER BY i.\"{id_col}\" ASC;" % replacements
return query.format(**params)
## to add more weight methods open a ticket or pull request
def get_attributes(query_res, attr_num=1):
"""
@param query_res: query results with attributes and neighbors
@param attr_num: attribute number (1, 2, ...)
"""
return np.array([x['attr' + str(attr_num)] for x in query_res], dtype=np.float)
def empty_zipped_array(num_nones):
"""
prepare return values for cases of empty weights objects (no neighbors)
Input:
@param num_nones int: number of columns (e.g., 4)
Output:
[(None, None, None, None)]
"""
return [tuple([None] * num_nones)]

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"""Random seed generator used for non-deterministic functions in crankshaft"""
import random
import numpy
def set_random_seeds(value):
"""
Set the seeds of the RNGs (Random Number Generators)
used internally.
"""
random.seed(value)
numpy.random.seed(value)

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from segmentation import *

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"""
Segmentation creation and prediction
"""
import sklearn
import numpy as np
import plpy
from sklearn.ensemble import GradientBoostingRegressor
from sklearn import metrics
from sklearn.cross_validation import train_test_split
# Lower level functions
#----------------------
def replace_nan_with_mean(array):
"""
Input:
@param array: an array of floats which may have null-valued entries
Output:
array with nans filled in with the mean of the dataset
"""
# returns an array of rows and column indices
indices = np.where(np.isnan(array))
# iterate through entries which have nan values
for row, col in zip(*indices):
array[row, col] = np.mean(array[~np.isnan(array[:, col]), col])
return array
def get_data(variable, feature_columns, query):
"""
Fetch data from the database, clean, and package into
numpy arrays
Input:
@param variable: name of the target variable
@param feature_columns: list of column names
@param query: subquery that data is pulled from for the packaging
Output:
prepared data, packaged into NumPy arrays
"""
columns = ','.join(['array_agg("{col}") As "{col}"'.format(col=col) for col in feature_columns])
try:
data = plpy.execute('''SELECT array_agg("{variable}") As target, {columns} FROM ({query}) As a'''.format(
variable=variable,
columns=columns,
query=query))
except Exception, e:
plpy.error('Failed to access data to build segmentation model: %s' % e)
# extract target data from plpy object
target = np.array(data[0]['target'])
# put n feature data arrays into an n x m array of arrays
features = np.column_stack([np.array(data[0][col], dtype=float) for col in feature_columns])
return replace_nan_with_mean(target), replace_nan_with_mean(features)
# High level interface
# --------------------
def create_and_predict_segment_agg(target, features, target_features, target_ids, model_parameters):
"""
Version of create_and_predict_segment that works on arrays that come stright form the SQL calling
the function.
Input:
@param target: The 1D array of lenth NSamples containing the target variable we want the model to predict
@param features: Thw 2D array of size NSamples * NFeatures that form the imput to the model
@param target_ids: A 1D array of target_ids that will be used to associate the results of the prediction with the rows which they come from
@param model_parameters: A dictionary containing parameters for the model.
"""
clean_target = replace_nan_with_mean(target)
clean_features = replace_nan_with_mean(features)
target_features = replace_nan_with_mean(target_features)
model, accuracy = train_model(clean_target, clean_features, model_parameters, 0.2)
prediction = model.predict(target_features)
accuracy_array = [accuracy]*prediction.shape[0]
return zip(target_ids, prediction, np.full(prediction.shape, accuracy_array))
def create_and_predict_segment(query, variable, target_query, model_params):
"""
generate a segment with machine learning
Stuart Lynn
"""
## fetch column names
try:
columns = plpy.execute('SELECT * FROM ({query}) As a LIMIT 1 '.format(query=query))[0].keys()
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
## extract column names to be used in building the segmentation model
feature_columns = set(columns) - set([variable, 'cartodb_id', 'the_geom', 'the_geom_webmercator'])
## get data from database
target, features = get_data(variable, feature_columns, query)
model, accuracy = train_model(target, features, model_params, 0.2)
cartodb_ids, result = predict_segment(model, feature_columns, target_query)
accuracy_array = [accuracy]*result.shape[0]
return zip(cartodb_ids, result, accuracy_array)
def train_model(target, features, model_params, test_split):
"""
Train the Gradient Boosting model on the provided data and calculate the accuracy of the model
Input:
@param target: 1D Array of the variable that the model is to be trianed to predict
@param features: 2D Array NSamples * NFeatures to use in trining the model
@param model_params: A dictionary of model parameters, the full specification can be found on the
scikit learn page for [GradientBoostingRegressor](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.GradientBoostingRegressor.html)
@parma test_split: The fraction of the data to be withheld for testing the model / calculating the accuray
"""
features_train, features_test, target_train, target_test = train_test_split(features, target, test_size=test_split)
model = GradientBoostingRegressor(**model_params)
model.fit(features_train, target_train)
accuracy = calculate_model_accuracy(model, features, target)
return model, accuracy
def calculate_model_accuracy(model, features, target):
"""
Calculate the mean squared error of the model prediction
Input:
@param model: model trained from input features
@param features: features to make a prediction from
@param target: target to compare prediction to
Output:
mean squared error of the model prection compared to the target
"""
prediction = model.predict(features)
return metrics.mean_squared_error(prediction, target)
def predict_segment(model, features, target_query):
"""
Use the provided model to predict the values for the new feature set
Input:
@param model: The pretrained model
@features: A list of features to use in the model prediction (list of column names)
@target_query: The query to run to obtain the data to predict on and the cartdb_ids associated with it.
"""
batch_size = 1000
joined_features = ','.join(['"{0}"::numeric'.format(a) for a in features])
try:
cursor = plpy.cursor('SELECT Array[{joined_features}] As features FROM ({target_query}) As a'.format(
joined_features=joined_features,
target_query=target_query))
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
results = []
while True:
rows = cursor.fetch(batch_size)
if not rows:
break
batch = np.row_stack([np.array(row['features'], dtype=float) for row in rows])
#Need to fix this. Should be global mean. This will cause weird effects
batch = replace_nan_with_mean(batch)
prediction = model.predict(batch)
results.append(prediction)
try:
cartodb_ids = plpy.execute('''SELECT array_agg(cartodb_id ORDER BY cartodb_id) As cartodb_ids FROM ({0}) As a'''.format(target_query))[0]['cartodb_ids']
except Exception, e:
plpy.error('Failed to build segmentation model: %s' % e)
return cartodb_ids, np.concatenate(results)

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"""Import all functions from clustering libraries."""
from markov import *

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"""
Spatial dynamics measurements using Spatial Markov
"""
import numpy as np
import pysal as ps
import plpy
import crankshaft.pysal_utils as pu
def spatial_markov_trend(subquery, time_cols, num_classes=7,
w_type='knn', num_ngbrs=5, permutations=0,
geom_col='the_geom', id_col='cartodb_id'):
"""
Predict the trends of a unit based on:
1. history of its transitions to different classes (e.g., 1st quantile -> 2nd quantile)
2. average class of its neighbors
Inputs:
@param subquery string: e.g., SELECT the_geom, cartodb_id,
interesting_time_column FROM table_name
@param time_cols list of strings: list of strings of column names
@param num_classes (optional): number of classes to break distribution
of values into. Currently uses quantile bins.
@param w_type string (optional): weight type ('knn' or 'queen')
@param num_ngbrs int (optional): number of neighbors (if knn type)
@param permutations int (optional): number of permutations for test
stats
@param geom_col string (optional): name of column which contains the
geometries
@param id_col string (optional): name of column which has the ids of
the table
Outputs:
@param trend_up float: probablity that a geom will move to a higher
class
@param trend_down float: probablity that a geom will move to a lower
class
@param trend float: (trend_up - trend_down) / trend_static
@param volatility float: a measure of the volatility based on
probability stddev(prob array)
"""
if len(time_cols) < 2:
plpy.error('More than one time column needs to be passed')
qvals = {"id_col": id_col,
"time_cols": time_cols,
"geom_col": geom_col,
"subquery": subquery,
"num_ngbrs": num_ngbrs}
try:
query_result = plpy.execute(
pu.construct_neighbor_query(w_type, qvals)
)
if len(query_result) == 0:
return zip([None], [None], [None], [None], [None])
except plpy.SPIError, err:
plpy.debug('Query failed with exception %s: %s' % (err, pu.construct_neighbor_query(w_type, qvals)))
plpy.error('Query failed, check the input parameters')
return zip([None], [None], [None], [None], [None])
## build weight
weights = pu.get_weight(query_result, w_type)
weights.transform = 'r'
## prep time data
t_data = get_time_data(query_result, time_cols)
plpy.debug('shape of t_data %d, %d' % t_data.shape)
plpy.debug('number of weight objects: %d, %d' % (weights.sparse).shape)
plpy.debug('first num elements: %f' % t_data[0, 0])
sp_markov_result = ps.Spatial_Markov(t_data,
weights,
k=num_classes,
fixed=False,
permutations=permutations)
## get lag classes
lag_classes = ps.Quantiles(
ps.lag_spatial(weights, t_data[:, -1]),
k=num_classes).yb
## look up probablity distribution for each unit according to class and lag class
prob_dist = get_prob_dist(sp_markov_result.P,
lag_classes,
sp_markov_result.classes[:, -1])
## find the ups and down and overall distribution of each cell
trend_up, trend_down, trend, volatility = get_prob_stats(prob_dist,
sp_markov_result.classes[:, -1])
## output the results
return zip(trend, trend_up, trend_down, volatility, weights.id_order)
def get_time_data(markov_data, time_cols):
"""
Extract the time columns and bin appropriately
"""
num_attrs = len(time_cols)
return np.array([[x['attr' + str(i)] for x in markov_data]
for i in range(1, num_attrs+1)], dtype=float).transpose()
## not currently used
def rebin_data(time_data, num_time_per_bin):
"""
Convert an n x l matrix into an (n/m) x l matrix where the values are
reduced (averaged) for the intervening states:
1 2 3 4 1.5 3.5
5 6 7 8 -> 5.5 7.5
9 8 7 6 8.5 6.5
5 4 3 2 4.5 2.5
if m = 2, the 4 x 4 matrix is transformed to a 2 x 4 matrix.
This process effectively resamples the data at a longer time span n
units longer than the input data.
For cases when there is a remainder (remainder(5/3) = 2), the remaining
two columns are binned together as the last time period, while the
first three are binned together for the first period.
Input:
@param time_data n x l ndarray: measurements of an attribute at
different time intervals
@param num_time_per_bin int: number of columns to average into a new
column
Output:
ceil(n / m) x l ndarray of resampled time series
"""
if time_data.shape[1] % num_time_per_bin == 0:
## if fit is perfect, then use it
n_max = time_data.shape[1] / num_time_per_bin
else:
## fit remainders into an additional column
n_max = time_data.shape[1] / num_time_per_bin + 1
return np.array([time_data[:, num_time_per_bin * i:num_time_per_bin * (i+1)].mean(axis=1)
for i in range(n_max)]).T
def get_prob_dist(transition_matrix, lag_indices, unit_indices):
"""
Given an array of transition matrices, look up the probability
associated with the arrangements passed
Input:
@param transition_matrix ndarray[k,k,k]:
@param lag_indices ndarray:
@param unit_indices ndarray:
Output:
Array of probability distributions
"""
return np.array([transition_matrix[(lag_indices[i], unit_indices[i])]
for i in range(len(lag_indices))])
def get_prob_stats(prob_dist, unit_indices):
"""
get the statistics of the probability distributions
Outputs:
@param trend_up ndarray(float): sum of probabilities for upward
movement (relative to the unit index of that prob)
@param trend_down ndarray(float): sum of probabilities for downward
movement (relative to the unit index of that prob)
@param trend ndarray(float): difference of upward and downward
movements
"""
num_elements = len(unit_indices)
trend_up = np.empty(num_elements, dtype=float)
trend_down = np.empty(num_elements, dtype=float)
trend = np.empty(num_elements, dtype=float)
for i in range(num_elements):
trend_up[i] = prob_dist[i, (unit_indices[i]+1):].sum()
trend_down[i] = prob_dist[i, :unit_indices[i]].sum()
if prob_dist[i, unit_indices[i]] > 0.0:
trend[i] = (trend_up[i] - trend_down[i]) / prob_dist[i, unit_indices[i]]
else:
trend[i] = None
## calculate volatility of distribution
volatility = prob_dist.std(axis=1)
return trend_up, trend_down, trend, volatility

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"""
CartoDB Spatial Analysis Python Library
See:
https://github.com/CartoDB/crankshaft
"""
from setuptools import setup, find_packages
setup(
name='crankshaft',
version='0.0.0',
description='CartoDB Spatial Analysis Python Library',
url='https://github.com/CartoDB/crankshaft',
author='Data Services Team - CartoDB',
author_email='dataservices@cartodb.com',
license='MIT',
classifiers=[
'Development Status :: 3 - Alpha',
'Intended Audience :: Mapping comunity',
'Topic :: Maps :: Mapping Tools',
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 2.7',
],
keywords='maps mapping tools spatial analysis geostatistics',
packages=find_packages(exclude=['contrib', 'docs', 'tests']),
extras_require={
'dev': ['unittest'],
'test': ['unittest', 'nose', 'mock'],
},
# The choice of component versions is dictated by what's
# provisioned in the production servers.
# IMPORTANT NOTE: please don't change this line. Instead issue a ticket to systems for evaluation.
install_requires=['joblib==0.8.3', 'numpy==1.6.1', 'scipy==0.14.0', 'pysal==1.11.2', 'scikit-learn==0.14.1'],
requires=['pysal', 'numpy', 'sklearn'],
test_suite='test'
)

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"""
CartoDB Spatial Analysis Python Library
See:
https://github.com/CartoDB/crankshaft
"""
from setuptools import setup, find_packages
setup(
name='crankshaft',
version='0.0.0',
description='CartoDB Spatial Analysis Python Library',
url='https://github.com/CartoDB/crankshaft',
author='Data Services Team - CartoDB',
author_email='dataservices@cartodb.com',
license='MIT',
classifiers=[
'Development Status :: 3 - Alpha',
'Intended Audience :: Mapping comunity',
'Topic :: Maps :: Mapping Tools',
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 2.7',
],
keywords='maps mapping tools spatial analysis geostatistics',
packages=find_packages(exclude=['contrib', 'docs', 'tests']),
extras_require={
'dev': ['unittest'],
'test': ['unittest', 'nose', 'mock'],
},
# The choice of component versions is dictated by what's
# provisioned in the production servers.
# IMPORTANT NOTE: please don't change this line. Instead issue a ticket to systems for evaluation.
install_requires=['joblib==0.8.3', 'numpy==1.6.1', 'scipy==0.14.0', 'pysal==1.11.2', 'scikit-learn==0.14.1'],
requires=['pysal', 'numpy', 'sklearn'],
test_suite='test'
)

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[{"xs": [9.917239463463458, 9.042767302696836, 10.798929825304187, 8.763751051762995, 11.383882954810852, 11.018206993460897, 8.939526075734316, 9.636159342565252, 10.136336896960058, 11.480610059427342, 12.115011910725082, 9.173267848893428, 10.239300931201738, 8.00012512174072, 8.979962292282131, 9.318376124429575, 10.82259513754284, 10.391747171927115, 10.04904588886165, 9.96007160443463, -0.78825626804569, -0.3511819898577426, -1.2796410003764271, -0.3977049391203402, 2.4792311265774667, 1.3670311632092624, 1.2963504112955613, 2.0404844103073025, -1.6439708506073223, 0.39122885445645805, 1.026031821452462, -0.04044477160482201, -0.7442346929085072, -0.34687120826243034, -0.23420359971379054, -0.5919629143336708, -0.202903054395391, -0.1893399644841902, 1.9331834251176807, -0.12321054392851609], "ys": [8.735627063679981, 9.857615954045011, 10.81439096759407, 10.586727233537191, 9.232919976568622, 11.54281262696508, 8.392787912674466, 9.355119689665944, 9.22380703532752, 10.542142541823122, 10.111980619367035, 10.760836265570738, 8.819773453269804, 10.25325722424816, 9.802077905695608, 8.955420161552611, 9.833801181904477, 10.491684241001613, 12.076108669877556, 11.74289693140474, -0.5685725015474191, -0.5715728344759778, -0.20180907868635137, 0.38431336480089595, -0.3402202083684184, -2.4652736827783586, 0.08295159401756182, 0.8503818775816505, 0.6488691600321166, 0.5794762568230527, -0.6770063922144103, -0.6557616416449478, -1.2834289177624947, 0.1096318195532717, -0.38986922166834853, -1.6224497706950238, 0.09429787743230483, 0.4005097316394031, -0.508002811195673, -1.2473463371366507], "ids": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]}]

View File

@@ -0,0 +1 @@
[[0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 0], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 1], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 2], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 3], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 4], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 5], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 6], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 7], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 8], [0.19047619047619049, 0.16, 0.0, 0.32594478059941379, 9], [-0.23529411764705882, 0.0, 0.19047619047619047, 0.31356338348865387, 10], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 11], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 12], [0.027777777777777783, 0.11111111111111112, 0.088888888888888892, 0.30339641183779581, 13], [0.03125, 0.030303030303030304, 0.0, 0.3850273981640871, 14], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 15], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 16], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 17], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 18], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 19], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 20], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 21], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 22], [-0.16666666666666663, 0.18181818181818182, 0.27272727272727271, 0.20246415864836445, 23], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 24], [0.1875, 0.23999999999999999, 0.12, 0.23731835158706122, 25], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 26], [-0.043478260869565216, 0.0, 0.041666666666666664, 0.37950991789118999, 27], [0.22222222222222221, 0.18181818181818182, 0.0, 0.31701083225750354, 28], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 29], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 30], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 31], [0.030303030303030304, 0.078947368421052627, 0.052631578947368418, 0.33560628561957595, 32], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 33], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 34], [0.0, 0.10000000000000001, 0.10000000000000001, 0.30331501776206204, 35], [-0.054054054054054057, 0.0, 0.05128205128205128, 0.37488547451276033, 36], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 37], [-0.22222222222222224, 0.13333333333333333, 0.26666666666666666, 0.22310934040908681, 38], [-0.0625, 0.095238095238095233, 0.14285714285714285, 0.28634850244519822, 39], [0.034482758620689655, 0.0625, 0.03125, 0.35388469167230169, 40], [0.11111111111111112, 0.10000000000000001, 0.0, 0.35213633723318016, 41], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 42], [0.0, 0.0, 0.0, 0.40000000000000002, 43], [0.0, 0.065217391304347824, 0.065217391304347824, 0.33605067580764519, 44], [0.078947368421052641, 0.073170731707317083, 0.0, 0.36451788667842738, 45], [0.052631578947368425, 0.090909090909090912, 0.045454545454545456, 0.33352611505171165, 46], [-0.20512820512820512, 0.0, 0.1702127659574468, 0.32172013908826891, 47]]

View File

@@ -0,0 +1,52 @@
[[0.9319096128346788, "HH"],
[-1.135787401862846, "HL"],
[0.11732030672508517, "LL"],
[0.6152779669180425, "LL"],
[-0.14657336660125297, "LH"],
[0.6967858120189607, "LL"],
[0.07949310115714454, "HH"],
[0.4703198759258987, "HH"],
[0.4421125200498064, "HH"],
[0.5724288737143592, "LL"],
[0.8970743435692062, "LL"],
[0.18327334401918674, "LL"],
[-0.01466729201304962, "HL"],
[0.3481559372544409, "LL"],
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[0.4373841193538136, "HH"],
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[0.06547094736902978, "LL"],
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[0.06547094736902978, "LL"],
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[0.18562939195219, "LL"],
[0.3010757406693439, "LL"],
[2.8205795942839376, "HH"],
[0.11259190602909264, "LL"],
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[-0.1672071289487642, "HL"],
[0.3337669247916343, "HH"],
[0.2584386102554792, "HH"],
[-0.19733845476322634, "HL"],
[-0.9379282899805409, "LH"],
[-0.028770969951095866, "LH"],
[0.051367269430983485, "LL"],
[-0.2172548045913472, "LH"],
[0.05136726943098351, "LL"],
[0.04191046803899837, "LL"],
[0.7482357030403517, "HH"],
[-0.014585767863118111, "LH"],
[0.5410013139159929, "HH"],
[1.0223932668429925, "LL"],
[1.4179402898927476, "LL"]]

View File

@@ -0,0 +1,54 @@
[
{"neighbors": [48, 26, 20, 9, 31], "id": 1, "value": 0.5},
{"neighbors": [30, 16, 46, 3, 4], "id": 2, "value": 0.7},
{"neighbors": [46, 30, 2, 12, 16], "id": 3, "value": 0.2},
{"neighbors": [18, 30, 23, 2, 52], "id": 4, "value": 0.1},
{"neighbors": [47, 40, 45, 37, 28], "id": 5, "value": 0.3},
{"neighbors": [10, 21, 41, 14, 37], "id": 6, "value": 0.05},
{"neighbors": [8, 17, 43, 25, 12], "id": 7, "value": 0.4},
{"neighbors": [17, 25, 43, 22, 7], "id": 8, "value": 0.7},
{"neighbors": [39, 34, 1, 26, 48], "id": 9, "value": 0.5},
{"neighbors": [6, 37, 5, 45, 49], "id": 10, "value": 0.04},
{"neighbors": [51, 41, 29, 21, 14], "id": 11, "value": 0.08},
{"neighbors": [44, 46, 43, 50, 3], "id": 12, "value": 0.2},
{"neighbors": [45, 23, 14, 28, 18], "id": 13, "value": 0.4},
{"neighbors": [41, 29, 13, 23, 6], "id": 14, "value": 0.2},
{"neighbors": [36, 27, 32, 33, 24], "id": 15, "value": 0.3},
{"neighbors": [19, 2, 46, 44, 28], "id": 16, "value": 0.4},
{"neighbors": [8, 25, 43, 7, 22], "id": 17, "value": 0.6},
{"neighbors": [23, 4, 29, 14, 13], "id": 18, "value": 0.3},
{"neighbors": [42, 16, 28, 26, 40], "id": 19, "value": 0.7},
{"neighbors": [1, 48, 31, 26, 42], "id": 20, "value": 0.8},
{"neighbors": [41, 6, 11, 14, 10], "id": 21, "value": 0.1},
{"neighbors": [25, 50, 43, 31, 44], "id": 22, "value": 0.4},
{"neighbors": [18, 13, 14, 4, 2], "id": 23, "value": 0.1},
{"neighbors": [33, 49, 34, 47, 27], "id": 24, "value": 0.3},
{"neighbors": [43, 8, 22, 17, 50], "id": 25, "value": 0.4},
{"neighbors": [1, 42, 20, 31, 48], "id": 26, "value": 0.6},
{"neighbors": [32, 15, 36, 33, 24], "id": 27, "value": 0.3},
{"neighbors": [40, 45, 19, 5, 13], "id": 28, "value": 0.8},
{"neighbors": [11, 51, 41, 14, 18], "id": 29, "value": 0.3},
{"neighbors": [2, 3, 4, 46, 18], "id": 30, "value": 0.1},
{"neighbors": [20, 26, 1, 50, 48], "id": 31, "value": 0.9},
{"neighbors": [27, 36, 15, 49, 24], "id": 32, "value": 0.3},
{"neighbors": [24, 27, 49, 34, 32], "id": 33, "value": 0.4},
{"neighbors": [47, 9, 39, 40, 24], "id": 34, "value": 0.3},
{"neighbors": [38, 51, 11, 21, 41], "id": 35, "value": 0.3},
{"neighbors": [15, 32, 27, 49, 33], "id": 36, "value": 0.2},
{"neighbors": [49, 10, 5, 47, 24], "id": 37, "value": 0.5},
{"neighbors": [35, 21, 51, 11, 41], "id": 38, "value": 0.4},
{"neighbors": [9, 34, 48, 1, 47], "id": 39, "value": 0.6},
{"neighbors": [28, 47, 5, 9, 34], "id": 40, "value": 0.5},
{"neighbors": [11, 14, 29, 21, 6], "id": 41, "value": 0.4},
{"neighbors": [26, 19, 1, 9, 31], "id": 42, "value": 0.2},
{"neighbors": [25, 12, 8, 22, 44], "id": 43, "value": 0.3},
{"neighbors": [12, 50, 46, 16, 43], "id": 44, "value": 0.2},
{"neighbors": [28, 13, 5, 40, 19], "id": 45, "value": 0.3},
{"neighbors": [3, 12, 44, 2, 16], "id": 46, "value": 0.2},
{"neighbors": [34, 40, 5, 49, 24], "id": 47, "value": 0.3},
{"neighbors": [1, 20, 26, 9, 39], "id": 48, "value": 0.5},
{"neighbors": [24, 37, 47, 5, 33], "id": 49, "value": 0.2},
{"neighbors": [44, 22, 31, 42, 26], "id": 50, "value": 0.6},
{"neighbors": [11, 29, 41, 14, 21], "id": 51, "value": 0.01},
{"neighbors": [4, 18, 29, 51, 23], "id": 52, "value": 0.01}
]

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import unittest
from mock_plpy import MockPlPy
plpy = MockPlPy()
import sys
sys.modules['plpy'] = plpy
import os
def fixture_file(name):
dir = os.path.dirname(os.path.realpath(__file__))
return os.path.join(dir, 'fixtures', name)

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import re
class MockCursor:
def __init__(self, data):
self.cursor_pos = 0
self.data = data
def fetch(self, batch_size):
batch = self.data[self.cursor_pos : self.cursor_pos + batch_size]
self.cursor_pos += batch_size
return batch
class MockPlPy:
def __init__(self):
self._reset()
def _reset(self):
self.infos = []
self.notices = []
self.debugs = []
self.logs = []
self.warnings = []
self.errors = []
self.fatals = []
self.executes = []
self.results = []
self.prepares = []
self.results = []
def _define_result(self, query, result):
pattern = re.compile(query, re.IGNORECASE | re.MULTILINE)
self.results.append([pattern, result])
def notice(self, msg):
self.notices.append(msg)
def debug(self, msg):
self.notices.append(msg)
def info(self, msg):
self.infos.append(msg)
def cursor(self, query):
data = self.execute(query)
return MockCursor(data)
def execute(self, query): # TODO: additional arguments
for result in self.results:
if result[0].match(query):
return result[1]
return []

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import numpy as np
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class KMeansTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.cluster_data = json.loads(open(fixture_file('kmeans.json')).read())
self.params = {"subquery": "select * from table",
"no_clusters": "10"
}
def test_kmeans(self):
data = self.cluster_data
plpy._define_result('select' ,data)
clusters = cc.kmeans('subquery', 2)
labels = [a[1] for a in clusters]
c1 = [a for a in clusters if a[1]==0]
c2 = [a for a in clusters if a[1]==1]
self.assertEqual(len(np.unique(labels)),2)
self.assertEqual(len(c1),20)
self.assertEqual(len(c2),20)

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import unittest
import numpy as np
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.clustering as cc
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
import json
class MoranTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_markov = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors.json')).read())
self.moran_data = json.loads(open(fixture_file('moran.json')).read())
def test_map_quads(self):
"""Test map_quads"""
self.assertEqual(cc.map_quads(1), 'HH')
self.assertEqual(cc.map_quads(2), 'LH')
self.assertEqual(cc.map_quads(3), 'LL')
self.assertEqual(cc.map_quads(4), 'HL')
self.assertEqual(cc.map_quads(33), None)
self.assertEqual(cc.map_quads('andy'), None)
def test_quad_position(self):
"""Test lisa_sig_vals"""
quads = np.array([1, 2, 3, 4], np.int)
ans = np.array(['HH', 'LH', 'LL', 'HL'])
test_ans = cc.quad_position(quads)
self.assertTrue((test_ans == ans).all())
def test_moran_local(self):
"""Test Moran's I local"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local('subquery', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
self.assertEqual(res_quad, exp_quad)
def test_moran_local_rate(self):
"""Test Moran's I rate"""
data = [ { 'id': d['id'], 'attr1': d['value'], 'attr2': 1, 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = cc.moran_local_rate('subquery', 'numerator', 'denominator', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None? ', result == None
result = [(row[0], row[1]) for row in result]
expected = self.moran_data
for ([res_val, res_quad], [exp_val, exp_quad]) in zip(result, expected):
self.assertAlmostEqual(res_val, exp_val)
def test_moran(self):
"""Test Moran's I global"""
data = [{ 'id': d['id'], 'attr1': d['value'], 'neighbors': d['neighbors'] } for d in self.neighbors_data]
plpy._define_result('select', data)
random_seeds.set_random_seeds(1235)
result = cc.moran('table', 'value', 'knn', 5, 99, 'the_geom', 'cartodb_id')
print 'result == None?', result == None
result_moran = result[0][0]
expected_moran = np.array([row[0] for row in self.moran_data]).mean()
self.assertAlmostEqual(expected_moran, result_moran, delta=10e-2)

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import unittest
import crankshaft.pysal_utils as pu
from crankshaft import random_seeds
class PysalUtilsTest(unittest.TestCase):
"""Testing class for utility functions related to PySAL integrations"""
def setUp(self):
self.params = {"id_col": "cartodb_id",
"attr1": "andy",
"attr2": "jay_z",
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.params_array = {"id_col": "cartodb_id",
"time_cols": ["_2013_dec", "_2014_jan", "_2014_feb"],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
def test_query_attr_select(self):
"""Test query_attr_select"""
ans = "i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, "
ans_array = "i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, "
self.assertEqual(pu.query_attr_select(self.params), ans)
self.assertEqual(pu.query_attr_select(self.params_array), ans_array)
def test_query_attr_where(self):
"""Test pu.query_attr_where"""
ans = "idx_replace.\"andy\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" IS NOT NULL AND " \
"idx_replace.\"jay_z\" <> 0"
ans_array = "idx_replace.\"_2013_dec\" IS NOT NULL AND " \
"idx_replace.\"_2014_jan\" IS NOT NULL AND " \
"idx_replace.\"_2014_feb\" IS NOT NULL"
self.assertEqual(pu.query_attr_where(self.params), ans)
self.assertEqual(pu.query_attr_where(self.params_array), ans_array)
def test_knn(self):
"""Test knn neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0 " \
"ORDER BY " \
"j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
ans_array = "SELECT i.\"cartodb_id\" As id, " \
"i.\"_2013_dec\"::numeric As attr1, " \
"i.\"_2014_jan\"::numeric As attr2, " \
"i.\"_2014_feb\"::numeric As attr3, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"j.\"_2013_dec\" IS NOT NULL AND " \
"j.\"_2014_jan\" IS NOT NULL AND " \
"j.\"_2014_feb\" IS NOT NULL " \
"ORDER BY j.\"the_geom\" <-> i.\"the_geom\" ASC " \
"LIMIT 321)) As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"_2013_dec\" IS NOT NULL AND " \
"i.\"_2014_jan\" IS NOT NULL AND " \
"i.\"_2014_feb\" IS NOT NULL "\
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.knn(self.params), ans)
self.assertEqual(pu.knn(self.params_array), ans_array)
def test_queen(self):
"""Test queen neighbors constructor"""
ans = "SELECT i.\"cartodb_id\" As id, " \
"i.\"andy\"::numeric As attr1, " \
"i.\"jay_z\"::numeric As attr2, " \
"(SELECT ARRAY(SELECT j.\"cartodb_id\" " \
"FROM (SELECT * FROM a_list) As j " \
"WHERE " \
"i.\"cartodb_id\" <> j.\"cartodb_id\" AND " \
"ST_Touches(i.\"the_geom\", " \
"j.\"the_geom\") AND " \
"j.\"andy\" IS NOT NULL AND " \
"j.\"jay_z\" IS NOT NULL AND " \
"j.\"jay_z\" <> 0)" \
") As neighbors " \
"FROM (SELECT * FROM a_list) As i " \
"WHERE i.\"andy\" IS NOT NULL AND " \
"i.\"jay_z\" IS NOT NULL AND " \
"i.\"jay_z\" <> 0 " \
"ORDER BY i.\"cartodb_id\" ASC;"
self.assertEqual(pu.queen(self.params), ans)
def test_construct_neighbor_query(self):
"""Test construct_neighbor_query"""
# Compare to raw knn query
self.assertEqual(pu.construct_neighbor_query('knn', self.params),
pu.knn(self.params))
def test_get_attributes(self):
"""Test get_attributes"""
## need to add tests
self.assertEqual(True, True)
def test_get_weight(self):
"""Test get_weight"""
self.assertEqual(True, True)
def test_empty_zipped_array(self):
"""Test empty_zipped_array"""
ans2 = [(None, None)]
ans4 = [(None, None, None, None)]
self.assertEqual(pu.empty_zipped_array(2), ans2)
self.assertEqual(pu.empty_zipped_array(4), ans4)

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import unittest
import numpy as np
from helper import plpy, fixture_file
import crankshaft.segmentation as segmentation
import json
class SegmentationTest(unittest.TestCase):
"""Testing class for Moran's I functions"""
def setUp(self):
plpy._reset()
def generate_random_data(self,n_samples,random_state, row_type=False):
x1 = random_state.uniform(size=n_samples)
x2 = random_state.uniform(size=n_samples)
x3 = random_state.randint(0, 4, size=n_samples)
y = x1+x2*x2+x3
cartodb_id = range(len(x1))
if row_type:
return [ {'features': vals} for vals in zip(x1,x2,x3)], y
else:
return [dict( zip(['x1','x2','x3','target', 'cartodb_id'],[x1,x2,x3,y,cartodb_id]))]
def test_replace_nan_with_mean(self):
test_array = np.array([1.2, np.nan, 3.2, np.nan, np.nan])
def test_create_and_predict_segment(self):
n_samples = 1000
random_state_train = np.random.RandomState(13)
random_state_test = np.random.RandomState(134)
training_data = self.generate_random_data(n_samples, random_state_train)
test_data, test_y = self.generate_random_data(n_samples, random_state_test, row_type=True)
ids = [{'cartodb_ids': range(len(test_data))}]
rows = [{'x1': 0,'x2':0,'x3':0,'y':0,'cartodb_id':0}]
plpy._define_result('select \* from \(select \* from training\) a limit 1',rows)
plpy._define_result('.*from \(select \* from training\) as a' ,training_data)
plpy._define_result('select array_agg\(cartodb\_id order by cartodb\_id\) as cartodb_ids from \(.*\) a',ids)
plpy._define_result('.*select \* from test.*' ,test_data)
model_parameters = {'n_estimators': 1200,
'max_depth': 3,
'subsample' : 0.5,
'learning_rate': 0.01,
'min_samples_leaf': 1}
result = segmentation.create_and_predict_segment(
'select * from training',
'target',
'select * from test',
model_parameters)
prediction = [r[1] for r in result]
accuracy =np.sqrt(np.mean( np.square( np.array(prediction) - np.array(test_y))))
self.assertEqual(len(result),len(test_data))
self.assertTrue( result[0][2] < 0.01)
self.assertTrue( accuracy < 0.5*np.mean(test_y) )

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import unittest
import numpy as np
import unittest
# from mock_plpy import MockPlPy
# plpy = MockPlPy()
#
# import sys
# sys.modules['plpy'] = plpy
from helper import plpy, fixture_file
import crankshaft.space_time_dynamics as std
from crankshaft import random_seeds
import json
class SpaceTimeTests(unittest.TestCase):
"""Testing class for Markov Functions."""
def setUp(self):
plpy._reset()
self.params = {"id_col": "cartodb_id",
"time_cols": ['dec_2013', 'jan_2014', 'feb_2014'],
"subquery": "SELECT * FROM a_list",
"geom_col": "the_geom",
"num_ngbrs": 321}
self.neighbors_data = json.loads(open(fixture_file('neighbors_markov.json')).read())
self.markov_data = json.loads(open(fixture_file('markov.json')).read())
self.time_data = np.array([i * np.ones(10, dtype=float) for i in range(10)]).T
self.transition_matrix = np.array([
[[ 0.96341463, 0.0304878 , 0.00609756, 0. , 0. ],
[ 0.06040268, 0.83221477, 0.10738255, 0. , 0. ],
[ 0. , 0.14 , 0.74 , 0.12 , 0. ],
[ 0. , 0.03571429, 0.32142857, 0.57142857, 0.07142857],
[ 0. , 0. , 0. , 0.16666667, 0.83333333]],
[[ 0.79831933, 0.16806723, 0.03361345, 0. , 0. ],
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0.00537634, 0.06989247, 0.8655914 , 0.05913978, 0. ],
[ 0. , 0. , 0.06372549, 0.90196078, 0.03431373],
[ 0. , 0. , 0. , 0.19444444, 0.80555556]],
[[ 0.84693878, 0.15306122, 0. , 0. , 0. ],
[ 0.08133971, 0.78947368, 0.1291866 , 0. , 0. ],
[ 0.00518135, 0.0984456 , 0.79274611, 0.0984456 , 0.00518135],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0. , 0. , 0. , 0.10204082, 0.89795918]],
[[ 0.8852459 , 0.09836066, 0. , 0.01639344, 0. ],
[ 0.03875969, 0.81395349, 0.13953488, 0. , 0.00775194],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0.02339181, 0.12865497, 0.75438596, 0.09356725],
[ 0. , 0. , 0. , 0.09661836, 0.90338164]],
[[ 0.33333333, 0.66666667, 0. , 0. , 0. ],
[ 0.0483871 , 0.77419355, 0.16129032, 0.01612903, 0. ],
[ 0.01149425, 0.16091954, 0.74712644, 0.08045977, 0. ],
[ 0. , 0.01036269, 0.06217617, 0.89637306, 0.03108808],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]]]
)
def test_spatial_markov(self):
"""Test Spatial Markov."""
data = [ { 'id': d['id'],
'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'],
'neighbors': d['neighbors'] } for d in self.neighbors_data]
print(str(data[0]))
plpy._define_result('select', data)
random_seeds.set_random_seeds(1234)
result = std.spatial_markov_trend('subquery', ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'], 5, 'knn', 5, 0, 'the_geom', 'cartodb_id')
self.assertTrue(result != None)
result = [(row[0], row[1], row[2], row[3], row[4]) for row in result]
print result[0]
expected = self.markov_data
for ([res_trend, res_up, res_down, res_vol, res_id],
[exp_trend, exp_up, exp_down, exp_vol, exp_id]
) in zip(result, expected):
self.assertAlmostEqual(res_trend, exp_trend)
def test_get_time_data(self):
"""Test get_time_data"""
data = [ { 'attr1': d['y1995'],
'attr2': d['y1996'],
'attr3': d['y1997'],
'attr4': d['y1998'],
'attr5': d['y1999'],
'attr6': d['y2000'],
'attr7': d['y2001'],
'attr8': d['y2002'],
'attr9': d['y2003'],
'attr10': d['y2004'],
'attr11': d['y2005'],
'attr12': d['y2006'],
'attr13': d['y2007'],
'attr14': d['y2008'],
'attr15': d['y2009'] } for d in self.neighbors_data]
result = std.get_time_data(data, ['y1995', 'y1996', 'y1997', 'y1998', 'y1999', 'y2000', 'y2001', 'y2002', 'y2003', 'y2004', 'y2005', 'y2006', 'y2007', 'y2008', 'y2009'])
## expected was prepared from PySAL example:
### f = ps.open(ps.examples.get_path("usjoin.csv"))
### pci = np.array([f.by_col[str(y)] for y in range(1995, 2010)]).transpose()
### rpci = pci / (pci.mean(axis = 0))
expected = np.array([[ 0.87654416, 0.863147, 0.85637567, 0.84811668, 0.8446154, 0.83271652
, 0.83786314, 0.85012593, 0.85509656, 0.86416612, 0.87119375, 0.86302631
, 0.86148267, 0.86252252, 0.86746356],
[ 0.9188951, 0.91757931, 0.92333258, 0.92517289, 0.92552388, 0.90746978
, 0.89830489, 0.89431991, 0.88924794, 0.89815176, 0.91832091, 0.91706054
, 0.90139505, 0.87897455, 0.86216858],
[ 0.82591007, 0.82548596, 0.81989793, 0.81503235, 0.81731522, 0.78964559
, 0.80584442, 0.8084998, 0.82258551, 0.82668196, 0.82373724, 0.81814804
, 0.83675961, 0.83574199, 0.84647177],
[ 1.09088176, 1.08537689, 1.08456418, 1.08415404, 1.09898841, 1.14506948
, 1.12151133, 1.11160697, 1.10888621, 1.11399806, 1.12168029, 1.13164797
, 1.12958508, 1.11371818, 1.09936775],
[ 1.10731446, 1.11373944, 1.13283638, 1.14472559, 1.15910025, 1.16898201
, 1.17212488, 1.14752303, 1.11843284, 1.11024964, 1.11943471, 1.11736468
, 1.10863242, 1.09642516, 1.07762337],
[ 1.42269757, 1.42118434, 1.44273502, 1.43577571, 1.44400684, 1.44184737
, 1.44782832, 1.41978227, 1.39092208, 1.4059372, 1.40788646, 1.44052766
, 1.45241216, 1.43306098, 1.4174431 ],
[ 1.13073885, 1.13110513, 1.11074708, 1.13364636, 1.13088149, 1.10888138
, 1.11856629, 1.13062931, 1.11944984, 1.12446239, 1.11671008, 1.10880034
, 1.08401709, 1.06959206, 1.07875225],
[ 1.04706124, 1.04516831, 1.04253372, 1.03239987, 1.02072545, 0.99854316
, 0.9880258, 0.99669587, 0.99327676, 1.01400905, 1.03176742, 1.040511
, 1.01749645, 0.9936394, 0.98279746],
[ 0.98996986, 1.00143564, 0.99491, 1.00188408, 1.00455845, 0.99127006
, 0.97925917, 0.9683482, 0.95335147, 0.93694787, 0.94308213, 0.92232874
, 0.91284091, 0.89689833, 0.88928858],
[ 0.87418391, 0.86416601, 0.84425695, 0.8404494, 0.83903044, 0.8578708
, 0.86036185, 0.86107306, 0.8500772, 0.86981998, 0.86837929, 0.87204141
, 0.86633032, 0.84946077, 0.83287146],
[ 1.14196118, 1.14660262, 1.14892712, 1.14909594, 1.14436624, 1.14450183
, 1.12349752, 1.12596664, 1.12213996, 1.1119989, 1.10257792, 1.10491258
, 1.11059842, 1.10509795, 1.10020097],
[ 0.97282463, 0.96700147, 0.96252588, 0.9653878, 0.96057687, 0.95831051
, 0.94480909, 0.94804195, 0.95430286, 0.94103989, 0.92122519, 0.91010201
, 0.89280392, 0.89298243, 0.89165385],
[ 0.94325468, 0.96436902, 0.96455242, 0.95243009, 0.94117647, 0.9480927
, 0.93539182, 0.95388718, 0.94597005, 0.96918424, 0.94781281, 0.93466815
, 0.94281559, 0.96520315, 0.96715441],
[ 0.97478408, 0.98169225, 0.98712809, 0.98474769, 0.98559897, 0.98687073
, 0.99237486, 0.98209969, 0.9877653, 0.97399471, 0.96910087, 0.98416665
, 0.98423613, 0.99823861, 0.99545704],
[ 0.85570269, 0.85575915, 0.85986132, 0.85693406, 0.8538012, 0.86191535
, 0.84981451, 0.85472102, 0.84564835, 0.83998883, 0.83478547, 0.82803648
, 0.8198736, 0.82265395, 0.8399404 ],
[ 0.87022047, 0.85996258, 0.85961813, 0.85689572, 0.83947136, 0.82785597
, 0.86008789, 0.86776298, 0.86720209, 0.8676334, 0.89179317, 0.94202108
, 0.9422231, 0.93902708, 0.94479184],
[ 0.90134907, 0.90407738, 0.90403991, 0.90201769, 0.90399238, 0.90906632
, 0.92693339, 0.93695966, 0.94242697, 0.94338265, 0.91981796, 0.91108804
, 0.90543476, 0.91737138, 0.94793657],
[ 1.1977611, 1.18222564, 1.18439158, 1.18267865, 1.19286723, 1.20172869
, 1.21328691, 1.22624778, 1.22397075, 1.23857042, 1.24419893, 1.23929384
, 1.23418676, 1.23626739, 1.26754398],
[ 1.24919678, 1.25754773, 1.26991161, 1.28020651, 1.30625667, 1.34790023
, 1.34399863, 1.32575181, 1.30795492, 1.30544841, 1.30303302, 1.32107766
, 1.32936244, 1.33001241, 1.33288462],
[ 1.06768004, 1.03799276, 1.03637303, 1.02768449, 1.03296093, 1.05059016
, 1.03405057, 1.02747623, 1.03162734, 0.9961416, 0.97356208, 0.94241549
, 0.92754547, 0.92549227, 0.92138102],
[ 1.09475614, 1.11526796, 1.11654299, 1.13103948, 1.13143264, 1.13889622
, 1.12442212, 1.13367018, 1.13982256, 1.14029944, 1.11979401, 1.10905389
, 1.10577769, 1.11166825, 1.09985155],
[ 0.76530058, 0.76612841, 0.76542451, 0.76722683, 0.76014284, 0.74480073
, 0.76098396, 0.76156903, 0.76651952, 0.76533288, 0.78205934, 0.76842416
, 0.77487118, 0.77768683, 0.78801192],
[ 0.98391336, 0.98075816, 0.98295341, 0.97386015, 0.96913803, 0.97370819
, 0.96419154, 0.97209861, 0.97441313, 0.96356162, 0.94745352, 0.93965462
, 0.93069645, 0.94020973, 0.94358232],
[ 0.83561828, 0.82298088, 0.81738502, 0.81748588, 0.80904801, 0.80071489
, 0.83358256, 0.83451613, 0.85175032, 0.85954307, 0.86790024, 0.87170334
, 0.87863799, 0.87497981, 0.87888675],
[ 0.98845573, 1.02092428, 0.99665283, 0.99141823, 0.99386619, 0.98733195
, 0.99644997, 0.99669587, 1.02559097, 1.01116651, 0.99988024, 0.97906749
, 0.99323123, 1.00204939, 0.99602148],
[ 1.14930913, 1.15241949, 1.14300962, 1.14265542, 1.13984683, 1.08312397
, 1.05192626, 1.04230892, 1.05577278, 1.08569751, 1.12443486, 1.08891079
, 1.08603695, 1.05997314, 1.02160943],
[ 1.11368269, 1.1057147, 1.11893431, 1.13778669, 1.1432272, 1.18257029
, 1.16226243, 1.16009196, 1.14467789, 1.14820235, 1.12386598, 1.12680236
, 1.12357937, 1.1159258, 1.12570828],
[ 1.30379431, 1.30752186, 1.31206366, 1.31532267, 1.30625667, 1.31210239
, 1.29989156, 1.29203193, 1.27183516, 1.26830786, 1.2617743, 1.28656675
, 1.29734097, 1.29390205, 1.29345446],
[ 0.83953719, 0.82701448, 0.82006005, 0.81188876, 0.80294864, 0.78772975
, 0.82848011, 0.8259679, 0.82435705, 0.83108634, 0.84373784, 0.83891093
, 0.84349247, 0.85637272, 0.86539395],
[ 1.23450087, 1.2426022, 1.23537935, 1.23581293, 1.24522626, 1.2256767
, 1.21126648, 1.19377804, 1.18355337, 1.19674434, 1.21536573, 1.23653297
, 1.27962009, 1.27968392, 1.25907738],
[ 0.9769662, 0.97400719, 0.98035944, 0.97581531, 0.95543282, 0.96480308
, 0.94686376, 0.93679073, 0.92540049, 0.92988835, 0.93442917, 0.92100464
, 0.91475304, 0.90249622, 0.9021363 ],
[ 0.84986886, 0.8986851, 0.84295997, 0.87280534, 0.85659368, 0.88937573
, 0.894401, 0.90448993, 0.95495898, 0.92698333, 0.94745352, 0.92562488
, 0.96635366, 1.02520312, 1.0394296 ],
[ 1.01922808, 1.00258203, 1.00974428, 1.00303417, 0.99765073, 1.00759019
, 0.99192968, 0.99747298, 0.99550759, 0.97583768, 0.9610168, 0.94779638
, 0.93759089, 0.93353431, 0.94121705],
[ 0.86367411, 0.85558932, 0.85544346, 0.85103025, 0.84336613, 0.83434854
, 0.85813595, 0.84667961, 0.84374558, 0.85951183, 0.87194227, 0.89455097
, 0.88283929, 0.90349491, 0.90600675],
[ 1.00947534, 1.00411055, 1.00698819, 0.99513687, 0.99291086, 1.00581626
, 0.98850522, 0.99291168, 0.98983209, 0.97511924, 0.96134615, 0.96382634
, 0.95011401, 0.9434686, 0.94637765],
[ 1.05712571, 1.05459419, 1.05753012, 1.04880786, 1.05103857, 1.04800023
, 1.03024941, 1.04200483, 1.0402554, 1.03296979, 1.02191682, 1.02476275
, 1.02347523, 1.02517684, 1.04359571],
[ 1.07084189, 1.06669497, 1.07937623, 1.07387988, 1.0794043, 1.0531801
, 1.07452771, 1.09383478, 1.1052447, 1.10322136, 1.09167939, 1.08772756
, 1.08859544, 1.09177338, 1.1096083 ],
[ 0.86719222, 0.86628896, 0.86675156, 0.86425632, 0.86511809, 0.86287327
, 0.85169796, 0.85411285, 0.84886336, 0.84517414, 0.84843858, 0.84488343
, 0.83374329, 0.82812044, 0.82878599],
[ 0.88389211, 0.92288667, 0.90282398, 0.91229186, 0.92023286, 0.92652175
, 0.94278865, 0.93682452, 0.98655146, 0.992237, 0.9798497, 0.93869677
, 0.96947771, 1.00362626, 0.98102351],
[ 0.97082064, 0.95320233, 0.94534081, 0.94215593, 0.93967, 0.93092109
, 0.92662519, 0.93412152, 0.93501274, 0.92879506, 0.92110542, 0.91035556
, 0.90430364, 0.89994694, 0.90073864],
[ 0.95861858, 0.95774543, 0.98254811, 0.98919472, 0.98684824, 0.98882205
, 0.97662234, 0.95601578, 0.94905385, 0.94934888, 0.97152609, 0.97163004
, 0.9700702, 0.97158948, 0.95884908],
[ 0.83980439, 0.84726737, 0.85747, 0.85467221, 0.8556751, 0.84818516
, 0.85265681, 0.84502402, 0.82645665, 0.81743586, 0.83550406, 0.83338919
, 0.83511679, 0.82136617, 0.80921874],
[ 0.95118156, 0.9466212, 0.94688098, 0.9508583, 0.9512441, 0.95440787
, 0.96364363, 0.96804412, 0.97136214, 0.97583768, 0.95571724, 0.96895368
, 0.97001634, 0.97082733, 0.98782366],
[ 1.08910044, 1.08248968, 1.08492895, 1.08656923, 1.09454249, 1.10558188
, 1.1214086, 1.12292577, 1.13021031, 1.13342735, 1.14686068, 1.14502975
, 1.14474747, 1.14084037, 1.16142926],
[ 1.06336033, 1.07365823, 1.08691496, 1.09764846, 1.11669863, 1.11856702
, 1.09764283, 1.08815849, 1.08044313, 1.09278827, 1.07003204, 1.08398066
, 1.09831768, 1.09298232, 1.09176125],
[ 0.79772065, 0.78829196, 0.78581151, 0.77615922, 0.77035744, 0.77751194
, 0.79902974, 0.81437881, 0.80788828, 0.79603865, 0.78966436, 0.79949807
, 0.80172182, 0.82168155, 0.85587911],
[ 1.0052447, 1.00007696, 1.00475899, 1.00613942, 1.00639561, 1.00162979
, 0.99860739, 1.00814981, 1.00574316, 0.99030032, 0.97682565, 0.97292596
, 0.96519561, 0.96173403, 0.95890284],
[ 0.95808419, 0.9382568, 0.9654441, 0.95561201, 0.96987289, 0.96608031
, 0.99727185, 1.00781194, 1.03484236, 1.05333619, 1.0983263, 1.1704974
, 1.17025154, 1.18730553, 1.14242645]])
self.assertTrue(np.allclose(result, expected))
self.assertTrue(type(result) == type(expected))
self.assertTrue(result.shape == expected.shape)
def test_rebin_data(self):
"""Test rebin_data"""
## sample in double the time (even case since 10 % 2 = 0):
## (0+1)/2, (2+3)/2, (4+5)/2, (6+7)/2, (8+9)/2
## = 0.5, 2.5, 4.5, 6.5, 8.5
ans_even = np.array([(i + 0.5) * np.ones(10, dtype=float)
for i in range(0, 10, 2)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 2), ans_even))
## sample in triple the time (uneven since 10 % 3 = 1):
## (0+1+2)/3, (3+4+5)/3, (6+7+8)/3, (9)/1
## = 1, 4, 7, 9
ans_odd = np.array([i * np.ones(10, dtype=float)
for i in (1, 4, 7, 9)]).T
self.assertTrue(np.array_equal(std.rebin_data(self.time_data, 3), ans_odd))
def test_get_prob_dist(self):
"""Test get_prob_dist"""
lag_indices = np.array([1, 2, 3, 4])
unit_indices = np.array([1, 3, 2, 4])
answer = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
result = std.get_prob_dist(self.transition_matrix, lag_indices, unit_indices)
self.assertTrue(np.array_equal(result, answer))
def test_get_prob_stats(self):
"""Test get_prob_stats"""
probs = np.array([
[ 0.0754717 , 0.88207547, 0.04245283, 0. , 0. ],
[ 0. , 0. , 0.09411765, 0.87058824, 0.03529412],
[ 0.0049505 , 0.09405941, 0.77722772, 0.11881188, 0.0049505 ],
[ 0. , 0. , 0. , 0.02352941, 0.97647059]
])
unit_indices = np.array([1, 3, 2, 4])
answer_up = np.array([0.04245283, 0.03529412, 0.12376238, 0.])
answer_down = np.array([0.0754717, 0.09411765, 0.0990099, 0.02352941])
answer_trend = np.array([-0.03301887 / 0.88207547, -0.05882353 / 0.87058824, 0.02475248 / 0.77722772, -0.02352941 / 0.97647059])
answer_volatility = np.array([ 0.34221495, 0.33705421, 0.29226542, 0.38834223])
result = std.get_prob_stats(probs, unit_indices)
result_up = result[0]
result_down = result[1]
result_trend = result[2]
result_volatility = result[3]
self.assertTrue(np.allclose(result_up, answer_up))
self.assertTrue(np.allclose(result_down, answer_down))
self.assertTrue(np.allclose(result_trend, answer_trend))
self.assertTrue(np.allclose(result_volatility, answer_volatility))

View File

@@ -1,5 +1,5 @@
comment = 'CartoDB Spatial Analysis extension'
default_version = '0.2.0'
default_version = '0.4.0'
requires = 'plpythonu, postgis'
superuser = true
schema = cdb_crankshaft

View File

@@ -74,11 +74,11 @@ BEGIN
SELECT array_agg(v) INTO vertex FROM a;
-- retrieve the value of each vertex
WITH a AS(SELECT unnest(vertex) as geo, unnest(colin) as c)
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(vertex) as geo, unnest(colin) as c)
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(vertex) as geo, unnest(colin) as c)
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
SELECT ST_area(g), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[2], vertex[3], point]))), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[1], vertex[3], point]))), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point,vertex[1],vertex[2], point]))) INTO sg, sa, sb, sc;

236
src/pg/sql/09_voronoi.sql Normal file
View File

@@ -0,0 +1,236 @@
-- =============================================================================================
--
-- CDB_Voronoi
--
-- =============================================================================================
CREATE OR REPLACE FUNCTION CDB_voronoi(
IN geomin geometry[],
IN buffer numeric DEFAULT 0.5,
IN tolerance numeric DEFAULT 1e-9
)
RETURNS geometry AS $$
DECLARE
geomout geometry;
BEGIN
-- we need to make the geometry calculations in (pseudo)meters!!!
with a as (
SELECT unnest(geomin) as g1
),
b as(
SELECT st_transform(g1, 3857) g2 from a
)
SELECT array_agg(g2) INTO geomin from b;
WITH
convexhull_1 as (
SELECT
ST_ConvexHull(ST_Collect(geomin)) as g,
buffer * |/ (st_area(ST_ConvexHull(ST_Collect(geomin)))/PI()) as r
),
clipper as(
SELECT
st_buffer(ST_MinimumBoundingCircle(a.g), buffer*a.r) as g
FROM convexhull_1 a
),
env0 as (
SELECT
(st_dumppoints(st_expand(a.g, buffer*a.r))).geom as e
FROM convexhull_1 a
),
env as (
SELECT
array_agg(env0.e) as e
FROM env0
),
sample AS (
SELECT
ST_Collect(geomin || env.e) as geom
FROM env
),
convexhull as (
SELECT
ST_ConvexHull(ST_Collect(geomin)) as cg
),
tin as (
SELECT
ST_Dump(ST_DelaunayTriangles(geom, tolerance, 0)) as gd
FROM
sample
),
tin_polygons as (
SELECT
(gd).Path as id,
(gd).Geom as pg,
ST_Centroid(ST_MinimumBoundingCircle((gd).Geom, 180)) as ct
FROM tin
),
tin_lines as (
SELECT
id,
ST_ExteriorRing(pg) as lg
FROM tin_polygons
),
tin_nodes as (
SELECT
id,
ST_PointN(lg,1) p1,
ST_PointN(lg,2) p2,
ST_PointN(lg,3) p3
FROM tin_lines
),
tin_edges AS (
SELECT
p.id,
UNNEST(ARRAY[
ST_MakeLine(n.p1,n.p2) ,
ST_MakeLine(n.p2,n.p3) ,
ST_MakeLine(n.p3,n.p1)]) as Edge,
ST_Force2D(cdb_crankshaft._Find_Circle(n.p1,n.p2,n.p3)) as ct,
CASE WHEN st_distance(p.ct, ST_ExteriorRing(p.pg)) < tolerance THEN
TRUE
ELSE FALSE END AS ctx,
p.pg,
ST_within(p.ct, convexhull.cg) as ctin
FROM
tin_polygons p,
tin_nodes n,
convexhull
WHERE p.id = n.id
),
voro_nodes as (
SELECT
CASE WHEN x.ctx = TRUE THEN
ST_Centroid(x.edge)
ELSE
x.ct
END as xct,
CASE WHEN y.id is null THEN
CASE WHEN x.ctin = TRUE THEN
ST_SetSRID(ST_MakePoint(
ST_X(x.ct) + ((ST_X(ST_Centroid(x.edge)) - ST_X(x.ct)) * (1+buffer)),
ST_Y(x.ct) + ((ST_Y(ST_Centroid(x.edge)) - ST_Y(x.ct)) * (1+buffer))
), ST_SRID(x.ct))
END
ELSE
y.ct
END as yct
FROM
tin_edges x
LEFT OUTER JOIN
tin_edges y
ON x.id <> y.id AND ST_Equals(x.edge, y.edge)
),
voro_edges as(
SELECT
ST_LineMerge(ST_Collect(ST_MakeLine(xct, yct))) as v
FROM
voro_nodes
),
voro_cells as(
SELECT
ST_Polygonize(
ST_Node(
ST_LineMerge(
ST_Union(v, ST_ExteriorRing(
ST_Convexhull(v)
)
)
)
)
) as g
FROM
voro_edges
),
voro_set as(
SELECT
(st_dump(v.g)).geom as g
FROM voro_cells v
),
clipped_voro as(
SELECT
ST_intersection(c.g, v.g) as g
FROM
voro_set v,
clipper c
WHERE
ST_GeometryType(v.g) = 'ST_Polygon'
)
SELECT
st_collect(
ST_Transform(
ST_ConvexHull(g),
4326
)
)
INTO geomout
FROM
clipped_voro;
RETURN geomout;
END;
$$ language plpgsql IMMUTABLE;
/** ----------------------------------------------------------------------------------------
* @function : FindCircle
* @precis : Function that determines if three points form a circle. If so a table containing
* centre and radius is returned. If not, a null table is returned.
* @version : 1.0.1
* @param : p_pt1 : First point in curve
* @param : p_pt2 : Second point in curve
* @param : p_pt3 : Third point in curve
* @return : geometry : In which X,Y ordinates are the centre X, Y and the Z being the radius of found circle
* or NULL if three points do not form a circle.
* @history : Simon Greener - Feb 2012 - Original coding.
* Rafa de la Torre - Aug 2016 - Small fix for type checking
* @copyright : Simon Greener @ 2012
* Licensed under a Creative Commons Attribution-Share Alike 2.5 Australia License. (http://creativecommons.org/licenses/by-sa/2.5/au/)
**/
CREATE OR REPLACE FUNCTION _Find_Circle(
IN p_pt1 geometry,
IN p_pt2 geometry,
IN p_pt3 geometry)
RETURNS geometry AS
$BODY$
DECLARE
v_Centre geometry;
v_radius NUMERIC;
v_CX NUMERIC;
v_CY NUMERIC;
v_dA NUMERIC;
v_dB NUMERIC;
v_dC NUMERIC;
v_dD NUMERIC;
v_dE NUMERIC;
v_dF NUMERIC;
v_dG NUMERIC;
BEGIN
IF ( p_pt1 IS NULL OR p_pt2 IS NULL OR p_pt3 IS NULL ) THEN
RAISE EXCEPTION 'All supplied points must be not null.';
RETURN NULL;
END IF;
IF ( ST_GeometryType(p_pt1) <> 'ST_Point' OR
ST_GeometryType(p_pt2) <> 'ST_Point' OR
ST_GeometryType(p_pt3) <> 'ST_Point' ) THEN
RAISE EXCEPTION 'All supplied geometries must be points.';
RETURN NULL;
END IF;
v_dA := ST_X(p_pt2) - ST_X(p_pt1);
v_dB := ST_Y(p_pt2) - ST_Y(p_pt1);
v_dC := ST_X(p_pt3) - ST_X(p_pt1);
v_dD := ST_Y(p_pt3) - ST_Y(p_pt1);
v_dE := v_dA * (ST_X(p_pt1) + ST_X(p_pt2)) + v_dB * (ST_Y(p_pt1) + ST_Y(p_pt2));
v_dF := v_dC * (ST_X(p_pt1) + ST_X(p_pt3)) + v_dD * (ST_Y(p_pt1) + ST_Y(p_pt3));
v_dG := 2.0 * (v_dA * (ST_Y(p_pt3) - ST_Y(p_pt2)) - v_dB * (ST_X(p_pt3) - ST_X(p_pt2)));
-- If v_dG is zero then the three points are collinear and no finite-radius
-- circle through them exists.
IF ( v_dG = 0 ) THEN
RETURN NULL;
ELSE
v_CX := (v_dD * v_dE - v_dB * v_dF) / v_dG;
v_CY := (v_dA * v_dF - v_dC * v_dE) / v_dG;
v_Radius := SQRT(POWER(ST_X(p_pt1) - v_CX,2) + POWER(ST_Y(p_pt1) - v_CY,2) );
END IF;
RETURN ST_SetSRID(ST_MakePoint(v_CX, v_CY, v_radius),ST_Srid(p_pt1));
END;
$BODY$
LANGUAGE plpgsql VOLATILE STRICT;

123
src/pg/sql/13_PIA.sql Normal file
View File

@@ -0,0 +1,123 @@
-- Based on:
-- https://github.com/mapbox/polylabel/blob/master/index.js
-- https://sites.google.com/site/polesofinaccessibility/
-- Requires: https://github.com/CartoDB/cartodb-postgresql
-- Based on:
-- https://github.com/mapbox/polylabel/blob/master/index.js
-- https://sites.google.com/site/polesofinaccessibility/
-- Requires: https://github.com/CartoDB/cartodb-postgresql
CREATE OR REPLACE FUNCTION CDB_PIA(
IN polygon geometry,
IN tolerance numeric DEFAULT 1.0
)
RETURNS geometry AS $$
DECLARE
env geometry[];
cells geometry[];
cell geometry;
best_c geometry;
best_d numeric;
test_d numeric;
test_mx numeric;
test_h numeric;
test_cells geometry[];
width numeric;
height numeric;
h numeric;
i integer;
n integer;
sqr numeric;
p geometry;
BEGIN
sqr := |/2;
polygon := ST_Transform(polygon, 3857);
-- grid #0 cell size
height := ST_YMax(polygon) - ST_YMin(polygon);
width := ST_XMax(polygon) - ST_XMin(polygon);
h := 0.5*LEAST(height, width);
-- grid #0
with c1 as(
SELECT cdb_crankshaft.CDB_RectangleGrid(polygon, h, h) as c
)
SELECT array_agg(c) INTO cells FROM c1;
-- 1st guess: centroid
best_d := cdb_crankshaft._Signed_Dist(polygon, ST_Centroid(Polygon));
-- looping the loop
n := array_length(cells,1);
i := 1;
LOOP
EXIT WHEN i > n;
cell := cells[i];
i := i+1;
-- cell side size, it's square
test_h := ST_XMax(cell) - ST_XMin(cell) ;
-- check distance
test_d := cdb_crankshaft._Signed_Dist(polygon, ST_Centroid(cell));
IF test_d > best_d THEN
best_d := test_d;
best_c := cells[i];
END IF;
-- longest distance within the cell
test_mx := test_d + (test_h/2 * sqr);
-- if the cell has no chance to contains the desired point, continue
CONTINUE WHEN test_mx - best_d <= tolerance;
-- resample the cell
with c1 as(
SELECT cdb_crankshaft.CDB_RectangleGrid(cell, test_h/2, test_h/2) as c
)
SELECT array_agg(c) INTO test_cells FROM c1;
-- concat the new cells to the former array
cells := cells || test_cells;
-- prepare next iteration
n := array_length(cells,1);
END LOOP;
RETURN ST_transform(ST_Centroid(best_c), 4326);
END;
$$ language plpgsql IMMUTABLE;
-- signed distance point to polygon with holes
-- negative is the point is out the polygon
CREATE OR REPLACE FUNCTION _Signed_Dist(
IN polygon geometry,
IN point geometry
)
RETURNS numeric AS $$
DECLARE
i integer;
within integer;
holes integer;
dist numeric;
BEGIN
dist := 1e999;
SELECT LEAST(dist, ST_distance(point, ST_ExteriorRing(polygon))::numeric) INTO dist;
SELECT CASE WHEN ST_Within(point,polygon) THEN 1 ELSE -1 END INTO within;
SELECT ST_NumInteriorRings(polygon) INTO holes;
IF holes > 0 THEN
FOR i IN 1..holes
LOOP
SELECT LEAST(dist, ST_distance(point, ST_InteriorRingN(polygon, i))::numeric) INTO dist;
END LOOP;
END IF;
dist := dist * within::numeric;
RETURN dist;
END;
$$ language plpgsql IMMUTABLE;

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--
-- Iterative densification of a set of points using Delaunay triangulation
-- the new points have as assigned value the average value of the 3 vertex (centroid)
--
-- @param geomin - array of geometries (points)
--
-- @param colin - array of numeric values in that points
--
-- @param iterations - integer, number of iterations
--
--
-- Returns: TABLE(geomout geometry, colout numeric)
--
--
CREATE OR REPLACE FUNCTION CDB_Densify(
IN geomin geometry[],
IN colin numeric[],
IN iterations integer
)
RETURNS TABLE(geomout geometry, colout numeric) AS $$
DECLARE
geotemp geometry[];
coltemp numeric[];
i integer;
gs geometry[];
g geometry;
vertex geometry[];
va numeric;
vb numeric;
vc numeric;
center geometry;
centerval numeric;
tmp integer;
BEGIN
geotemp := geomin;
coltemp := colin;
FOR i IN 1..iterations
LOOP
-- generate TIN
WITH a as (SELECT unnest(geotemp) AS e),
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
c as (SELECT (ST_Dump(t)).geom AS v FROM b)
SELECT array_agg(v) INTO gs FROM c;
-- loop cells
FOREACH g IN ARRAY gs
LOOP
-- append centroid
SELECT ST_Centroid(g) INTO center;
geotemp := array_append(geotemp, center);
-- retrieve the value of each vertex
WITH a AS (SELECT (ST_DumpPoints(g)).geom AS v)
SELECT array_agg(v) INTO vertex FROM a;
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
-- calc the value at the center
centerval := (va + vb + vc) / 3;
-- append the value
coltemp := array_append(coltemp, centerval);
END LOOP;
END LOOP;
RETURN QUERY SELECT unnest(geotemp ) as geomout, unnest(coltemp ) as colout;
END;
$$ language plpgsql IMMUTABLE;

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CREATE OR REPLACE FUNCTION CDB_TINmap(
IN geomin geometry[],
IN colin numeric[],
IN iterations integer
)
RETURNS TABLE(geomout geometry, colout numeric) AS $$
DECLARE
p geometry[];
vals numeric[];
gs geometry[];
g geometry;
vertex geometry[];
centerval numeric;
va numeric;
vb numeric;
vc numeric;
coltemp numeric[];
BEGIN
SELECT array_agg(dens.geomout), array_agg(dens.colout) INTO p, vals FROM cdb_crankshaft.CDB_Densify(geomin, colin, iterations) dens;
WITH a as (SELECT unnest(p) AS e),
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
c as (SELECT (ST_Dump(t)).geom AS v FROM b)
SELECT array_agg(v) INTO gs FROM c;
FOREACH g IN ARRAY gs
LOOP
-- retrieve the vertex of each triangle
WITH a AS (SELECT (ST_DumpPoints(g)).geom AS v)
SELECT array_agg(v) INTO vertex FROM a;
-- retrieve the value of each vertex
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
-- calc the value at the center
centerval := (va + vb + vc) / 3;
-- append the value
coltemp := array_append(coltemp, centerval);
END LOOP;
RETURN QUERY SELECT unnest(gs) as geomout, unnest(coltemp ) as colout;
END;
$$ language plpgsql IMMUTABLE;

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CREATE OR REPLACE FUNCTION CDB_Contour(
IN geomin geometry[],
IN colin numeric[],
IN buffer numeric,
IN intmethod integer,
IN classmethod integer,
IN steps integer,
IN max_time integer DEFAULT 60000
)
RETURNS TABLE(
the_geom geometry,
bin integer,
min_value numeric,
max_value numeric,
avg_value numeric
) AS $$
DECLARE
cell_count integer;
tin geometry[];
BEGIN
-- calc the cell size in web mercator units
-- WITH center as (
-- SELECT ST_centroid(ST_Collect(geomin)) as c
-- )
-- SELECT
-- round(resolution / cos(ST_y(c) * pi()/180))
-- INTO cell
-- FROM center;
-- raise notice 'Resol: %', cell;
-- calc the optimal number of cells for the current dataset
SELECT
CASE intmethod
WHEN 0 THEN round(3.7745903782 * max_time - 9.4399210051 * array_length(geomin,1) - 1350.8778213073)
WHEN 1 THEN round(2.2855592156 * max_time - 87.285217133 * array_length(geomin,1) + 17255.7085601797)
WHEN 2 THEN round(0.9799471999 * max_time - 127.0334085369 * array_length(geomin,1) + 22707.9579721218)
ELSE 10000
END INTO cell_count;
-- we don't have iterative barycentric interpolation in CDB_interpolation,
-- and it's a costy function, so let's make a custom one here till
-- we update the code
-- tin := ARRAY[]::geometry[];
IF intmethod=1 THEN
WITH
a as (SELECT unnest(geomin) AS e),
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
c as (SELECT (ST_Dump(t)).geom as v FROM b)
SELECT array_agg(v) INTO tin FROM c;
END IF;
-- Delaunay stuff performed just ONCE!!
-- magic
RETURN QUERY
WITH
convexhull as (
SELECT
ST_ConvexHull(ST_Collect(geomin)) as g,
buffer * |/ st_area(ST_ConvexHull(ST_Collect(geomin)))/PI() as r
),
envelope as (
SELECT
st_expand(a.g, a.r) as e
FROM convexhull a
),
envelope3857 as(
SELECT
ST_Transform(e, 3857) as geom
FROM envelope
),
resolution as(
SELECT
round(|/ (
ST_area(geom) / cell_count
)) as cell
FROM envelope3857
),
grid as(
SELECT
ST_Transform(cdb_crankshaft.CDB_RectangleGrid(e.geom, r.cell, r.cell), 4326) as geom
FROM envelope3857 e, resolution r
),
interp as(
SELECT
geom,
CASE
WHEN intmethod=1 THEN cdb_crankshaft._interp_in_tin(geomin, colin, tin, ST_Centroid(geom))
ELSE cdb_crankshaft.CDB_SpatialInterpolation(geomin, colin, ST_Centroid(geom), intmethod)
END as val
FROM grid
),
classes as(
SELECT CASE
WHEN classmethod = 0 THEN
cdb_crankshaft.CDB_EqualIntervalBins(array_agg(val), steps)
WHEN classmethod = 1 THEN
cdb_crankshaft.CDB_HeadsTailsBins(array_agg(val), steps)
WHEN classmethod = 2 THEN
cdb_crankshaft.CDB_JenksBins(array_agg(val), steps)
ELSE
cdb_crankshaft.CDB_QuantileBins(array_agg(val), steps)
END as b
FROM interp
where val is not null
),
classified as(
SELECT
i.*,
width_bucket(i.val, c.b) as bucket
FROM interp i left join classes c
ON 1=1
),
classified2 as(
SELECT
geom,
val,
CASE
WHEN bucket = steps THEN bucket - 1
ELSE bucket
END as b
FROM classified
),
final as(
SELECT
st_union(geom) as the_geom,
b as bin,
min(val) as min_value,
max(val) as max_value,
avg(val) as avg_value
FROM classified2
GROUP BY bin
)
SELECT
*
FROM final
where final.bin is not null
;
END;
$$ language plpgsql;
-- =====================================================================
-- Interp in grid, so we can use barycentric with a precalculated tin (NNI)
-- =====================================================================
CREATE OR REPLACE FUNCTION _interp_in_tin(
IN geomin geometry[],
IN colin numeric[],
IN tin geometry[],
IN point geometry
)
RETURNS numeric AS
$$
DECLARE
g geometry;
vertex geometry[];
sg numeric;
sa numeric;
sb numeric;
sc numeric;
va numeric;
vb numeric;
vc numeric;
output numeric;
BEGIN
-- get the cell the point is within
WITH
a as (SELECT unnest(tin) as v),
b as (SELECT v FROM a WHERE ST_Within(point, v))
SELECT v INTO g FROM b;
-- if we're out of the data realm,
-- return null
IF g is null THEN
RETURN null;
END IF;
-- vertex of the selected cell
WITH a AS (
SELECT (ST_DumpPoints(g)).geom AS v
)
SELECT array_agg(v) INTO vertex FROM a;
-- retrieve the value of each vertex
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
-- calc the areas
SELECT
ST_area(g),
ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[2], vertex[3], point]))),
ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[1], vertex[3], point]))),
ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point,vertex[1],vertex[2], point]))) INTO sg, sa, sb, sc;
output := (coalesce(sa,0) * coalesce(va,0) + coalesce(sb,0) * coalesce(vb,0) + coalesce(sc,0) * coalesce(vc,0)) / coalesce(sg,1);
RETURN output;
END;
$$
language plpgsql;

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--
-- Fill given extent with a rectangular coverage
--
-- @param ext Extent to fill. Only rectangles with center point falling
-- inside the extent (or at the lower or leftmost edge) will
-- be emitted. The returned hexagons will have the same SRID
-- as this extent.
--
-- @param width With of each rectangle
--
-- @param height Height of each rectangle
--
-- @param origin Optional origin to allow for exact tiling.
-- If omitted the origin will be 0,0.
-- The parameter is checked for having the same SRID
-- as the extent.
--
--
CREATE OR REPLACE FUNCTION CDB_RectangleGrid(ext GEOMETRY, width FLOAT8, height FLOAT8, origin GEOMETRY DEFAULT NULL)
RETURNS SETOF GEOMETRY
AS $$
DECLARE
h GEOMETRY; -- rectangle cell
hstep FLOAT8; -- horizontal step
vstep FLOAT8; -- vertical step
hw FLOAT8; -- half width
hh FLOAT8; -- half height
vstart FLOAT8;
hstart FLOAT8;
hend FLOAT8;
vend FLOAT8;
xoff FLOAT8;
yoff FLOAT8;
xgrd FLOAT8;
ygrd FLOAT8;
x FLOAT8;
y FLOAT8;
srid INTEGER;
BEGIN
srid := ST_SRID(ext);
xoff := 0;
yoff := 0;
IF origin IS NOT NULL THEN
IF ST_SRID(origin) != srid THEN
RAISE EXCEPTION 'SRID mismatch between extent (%) and origin (%)', srid, ST_SRID(origin);
END IF;
xoff := ST_X(origin);
yoff := ST_Y(origin);
END IF;
--RAISE DEBUG 'X offset: %', xoff;
--RAISE DEBUG 'Y offset: %', yoff;
hw := width/2.0;
hh := height/2.0;
xgrd := hw;
ygrd := hh;
--RAISE DEBUG 'X grid size: %', xgrd;
--RAISE DEBUG 'Y grid size: %', ygrd;
hstep := width;
vstep := height;
-- Tweak horizontal start on hstep grid from origin
hstart := xoff + ceil((ST_XMin(ext)-xoff)/hstep)*hstep;
--RAISE DEBUG 'hstart: %', hstart;
-- Tweak vertical start on vstep grid from origin
vstart := yoff + ceil((ST_Ymin(ext)-yoff)/vstep)*vstep;
--RAISE DEBUG 'vstart: %', vstart;
hend := ST_XMax(ext);
vend := ST_YMax(ext);
--RAISE DEBUG 'hend: %', hend;
--RAISE DEBUG 'vend: %', vend;
x := hstart;
WHILE x < hend LOOP -- over X
y := vstart;
h := ST_MakeEnvelope(x-hw, y-hh, x+hw, y+hh, srid);
WHILE y < vend LOOP -- over Y
RETURN NEXT h;
h := ST_Translate(h, 0, vstep);
y := yoff + round(((y + vstep)-yoff)/ygrd)*ygrd; -- round to grid
END LOOP;
x := xoff + round(((x + hstep)-xoff)/xgrd)*xgrd; -- round to grid
END LOOP;
RETURN;
END
$$ LANGUAGE 'plpgsql' IMMUTABLE;
--
-- Calculate the equal interval bins for a given column
--
-- @param in_array A numeric array of numbers to determine the best
-- to determine the bin boundary
--
-- @param breaks The number of bins you want to find.
--
--
-- Returns: upper edges of bins
--
--
CREATE OR REPLACE FUNCTION CDB_EqualIntervalBins ( in_array NUMERIC[], breaks INT ) RETURNS NUMERIC[] as $$
DECLARE
diff numeric;
min_val numeric;
max_val numeric;
tmp_val numeric;
i INT := 1;
reply numeric[];
BEGIN
SELECT min(e), max(e) INTO min_val, max_val FROM ( SELECT unnest(in_array) e ) x WHERE e IS NOT NULL;
diff = (max_val - min_val) / breaks::numeric;
LOOP
IF i < breaks THEN
tmp_val = min_val + i::numeric * diff;
reply = array_append(reply, tmp_val);
i := i+1;
ELSE
reply = array_append(reply, max_val);
EXIT;
END IF;
END LOOP;
RETURN reply;
END;
$$ language plpgsql IMMUTABLE;
--
-- Determine the Heads/Tails classifications from a numeric array
--
-- @param in_array A numeric array of numbers to determine the best
-- bins based on the Heads/Tails method.
--
-- @param breaks The number of bins you want to find.
--
--
CREATE OR REPLACE FUNCTION CDB_HeadsTailsBins ( in_array NUMERIC[], breaks INT) RETURNS NUMERIC[] as $$
DECLARE
element_count INT4;
arr_mean numeric;
i INT := 2;
reply numeric[];
BEGIN
-- get the total size of our row
element_count := array_upper(in_array, 1) - array_lower(in_array, 1);
-- ensure the ordering of in_array
SELECT array_agg(e) INTO in_array FROM (SELECT unnest(in_array) e ORDER BY e) x;
-- stop if no rows
IF element_count IS NULL THEN
RETURN NULL;
END IF;
-- stop if our breaks are more than our input array size
IF element_count < breaks THEN
RETURN in_array;
END IF;
-- get our mean value
SELECT avg(v) INTO arr_mean FROM ( SELECT unnest(in_array) as v ) x;
reply = Array[arr_mean];
-- slice our bread
LOOP
IF i > breaks THEN EXIT; END IF;
SELECT avg(e) INTO arr_mean FROM ( SELECT unnest(in_array) e) x WHERE e > reply[i-1];
IF arr_mean IS NOT NULL THEN
reply = array_append(reply, arr_mean);
END IF;
i := i+1;
END LOOP;
RETURN reply;
END;
$$ language plpgsql IMMUTABLE;
--
-- Determine the Jenks classifications from a numeric array
--
-- @param in_array A numeric array of numbers to determine the best
-- bins based on the Jenks method.
--
-- @param breaks The number of bins you want to find.
--
-- @param iterations The number of different starting positions to test.
--
-- @param invert Optional wheter to return the top of each bin (default)
-- or the bottom. BOOLEAN, default=FALSE.
--
--
CREATE OR REPLACE FUNCTION CDB_JenksBins ( in_array NUMERIC[], breaks INT, iterations INT DEFAULT 5, invert BOOLEAN DEFAULT FALSE) RETURNS NUMERIC[] as $$
DECLARE
element_count INT4;
arr_mean NUMERIC;
bot INT;
top INT;
tops INT[];
classes INT[][];
i INT := 1; j INT := 1;
curr_result NUMERIC[];
best_result NUMERIC[];
seedtarget TEXT;
quant NUMERIC[];
shuffles INT;
BEGIN
-- get the total size of our row
element_count := array_length(in_array, 1); --array_upper(in_array, 1) - array_lower(in_array, 1);
-- ensure the ordering of in_array
SELECT array_agg(e) INTO in_array FROM (SELECT unnest(in_array) e ORDER BY e) x;
-- stop if no rows
IF element_count IS NULL THEN
RETURN NULL;
END IF;
-- stop if our breaks are more than our input array size
IF element_count < breaks THEN
RETURN in_array;
END IF;
shuffles := LEAST(GREATEST(floor(2500000.0/(element_count::float*iterations::float)), 1), 750)::int;
-- get our mean value
SELECT avg(v) INTO arr_mean FROM ( SELECT unnest(in_array) as v ) x;
-- assume best is actually Quantile
SELECT cdb_crankshaft.CDB_QuantileBins(in_array, breaks) INTO quant;
-- if data is very very large, just return quant and be done
IF element_count > 5000000 THEN
RETURN quant;
END IF;
-- change quant into bottom, top markers
LOOP
IF i = 1 THEN
bot = 1;
ELSE
-- use last top to find this bot
bot = top+1;
END IF;
IF i = breaks THEN
top = element_count;
ELSE
SELECT count(*) INTO top FROM ( SELECT unnest(in_array) as v) x WHERE v <= quant[i];
END IF;
IF i = 1 THEN
classes = ARRAY[ARRAY[bot,top]];
ELSE
classes = ARRAY_CAT(classes,ARRAY[bot,top]);
END IF;
IF i > breaks THEN EXIT; END IF;
i = i+1;
END LOOP;
best_result = cdb_crankshaft.CDB_JenksBinsIteration( in_array, breaks, classes, invert, element_count, arr_mean, shuffles);
--set the seed so we can ensure the same results
SELECT setseed(0.4567) INTO seedtarget;
--loop through random starting positions
LOOP
IF j > iterations-1 THEN EXIT; END IF;
i = 1;
tops = ARRAY[element_count];
LOOP
IF i = breaks THEN EXIT; END IF;
SELECT array_agg(distinct e) INTO tops FROM (SELECT unnest(array_cat(tops, ARRAY[floor(random()*element_count::float)::int])) as e ORDER BY e) x WHERE e != 1;
i = array_length(tops, 1);
END LOOP;
i = 1;
LOOP
IF i > breaks THEN EXIT; END IF;
IF i = 1 THEN
bot = 1;
ELSE
bot = top+1;
END IF;
top = tops[i];
IF i = 1 THEN
classes = ARRAY[ARRAY[bot,top]];
ELSE
classes = ARRAY_CAT(classes,ARRAY[bot,top]);
END IF;
i := i+1;
END LOOP;
curr_result = cdb_crankshaft.CDB_JenksBinsIteration( in_array, breaks, classes, invert, element_count, arr_mean, shuffles);
IF curr_result[1] > best_result[1] THEN
best_result = curr_result;
j = j-1; -- if we found a better result, add one more search
END IF;
j = j+1;
END LOOP;
RETURN (best_result)[2:array_upper(best_result, 1)];
END;
$$ language plpgsql IMMUTABLE;
--
-- Perform a single iteration of the Jenks classification
--
CREATE OR REPLACE FUNCTION CDB_JenksBinsIteration ( in_array NUMERIC[], breaks INT, classes INT[][], invert BOOLEAN, element_count INT4, arr_mean NUMERIC, max_search INT DEFAULT 50) RETURNS NUMERIC[] as $$
DECLARE
tmp_val numeric;
new_classes int[][];
tmp_class int[];
i INT := 1;
j INT := 1;
side INT := 2;
sdam numeric;
gvf numeric := 0.0;
new_gvf numeric;
arr_gvf numeric[];
class_avg numeric;
class_max_i INT;
class_min_i INT;
class_max numeric;
class_min numeric;
reply numeric[];
BEGIN
-- Calculate the sum of squared deviations from the array mean (SDAM).
SELECT sum((arr_mean - e)^2) INTO sdam FROM ( SELECT unnest(in_array) as e ) x;
--Identify the breaks for the lowest GVF
LOOP
i = 1;
LOOP
-- get our mean
SELECT avg(e) INTO class_avg FROM ( SELECT unnest(in_array[classes[i][1]:classes[i][2]]) as e) x;
-- find the deviation
SELECT sum((class_avg-e)^2) INTO tmp_val FROM ( SELECT unnest(in_array[classes[i][1]:classes[i][2]]) as e ) x;
IF i = 1 THEN
arr_gvf = ARRAY[tmp_val];
-- init our min/max map for later
class_max = arr_gvf[i];
class_min = arr_gvf[i];
class_min_i = 1;
class_max_i = 1;
ELSE
arr_gvf = array_append(arr_gvf, tmp_val);
END IF;
i := i+1;
IF i > breaks THEN EXIT; END IF;
END LOOP;
-- calculate our new GVF
SELECT sdam-sum(e) INTO new_gvf FROM ( SELECT unnest(arr_gvf) as e ) x;
-- if no improvement was made, exit
IF new_gvf < gvf THEN EXIT; END IF;
gvf = new_gvf;
IF j > max_search THEN EXIT; END IF;
j = j+1;
i = 1;
LOOP
--establish directionality (uppward through classes or downward)
IF arr_gvf[i] < class_min THEN
class_min = arr_gvf[i];
class_min_i = i;
END IF;
IF arr_gvf[i] > class_max THEN
class_max = arr_gvf[i];
class_max_i = i;
END IF;
i := i+1;
IF i > breaks THEN EXIT; END IF;
END LOOP;
IF class_max_i > class_min_i THEN
class_min_i = class_max_i - 1;
ELSE
class_min_i = class_max_i + 1;
END IF;
--Move from higher class to a lower gid order
IF class_max_i > class_min_i THEN
classes[class_max_i][1] = classes[class_max_i][1] + 1;
classes[class_min_i][2] = classes[class_min_i][2] + 1;
ELSE -- Move from lower class UP into a higher class by gid
classes[class_max_i][2] = classes[class_max_i][2] - 1;
classes[class_min_i][1] = classes[class_min_i][1] - 1;
END IF;
END LOOP;
i = 1;
LOOP
IF invert = TRUE THEN
side = 1; --default returns bottom side of breaks, invert returns top side
END IF;
reply = array_append(reply, in_array[classes[i][side]]);
i = i+1;
IF i > breaks THEN EXIT; END IF;
END LOOP;
RETURN array_prepend(gvf, reply);
END;
$$ language plpgsql IMMUTABLE;
--
-- Determine the Quantile classifications from a numeric array
--
-- @param in_array A numeric array of numbers to determine the best
-- bins based on the Quantile method.
--
-- @param breaks The number of bins you want to find.
--
--
CREATE OR REPLACE FUNCTION CDB_QuantileBins ( in_array NUMERIC[], breaks INT) RETURNS NUMERIC[] as $$
DECLARE
element_count INT4;
break_size numeric;
tmp_val numeric;
i INT := 1;
reply numeric[];
BEGIN
-- sort our values
SELECT array_agg(e) INTO in_array FROM (SELECT unnest(in_array) e ORDER BY e ASC) x;
-- get the total size of our data
element_count := array_length(in_array, 1);
break_size := element_count::numeric / breaks;
-- slice our bread
LOOP
IF i < breaks THEN
IF break_size * i % 1 > 0 THEN
SELECT e INTO tmp_val FROM ( SELECT unnest(in_array) e LIMIT 1 OFFSET ceil(break_size * i) - 1) x;
ELSE
SELECT avg(e) INTO tmp_val FROM ( SELECT unnest(in_array) e LIMIT 2 OFFSET ceil(break_size * i) - 1 ) x;
END IF;
ELSIF i = breaks THEN
-- select the last value
SELECT max(e) INTO tmp_val FROM ( SELECT unnest(in_array) e ) x;
ELSE
EXIT;
END IF;
reply = array_append(reply, tmp_val);
i := i+1;
END LOOP;
RETURN reply;
END;
$$ language plpgsql IMMUTABLE;

View File

@@ -1,5 +1,7 @@
SET client_min_messages TO WARNING;
\set ECHO none
cdb_spatialinterpolation
t
nn | nni | idw
-----+--------------------------+-----------------
200 | 238.41059602632179224595 | 341.46260750526
(1 row)

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