Upgrade ulab
This version * moves source files to reflect module structure * adds inline documentation suitable for extract_pyi * incompatibly moves spectrogram to fft * incompatibly removes "extras" There are some remaining markup errors in the specific revision of extmod/ulab but they do not prevent the doc building process from completing.
This commit is contained in:
Jeff Epler
parent
6afbefc739
commit
9b8df7f635
1
Makefile
1
Makefile
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@ -241,6 +241,7 @@ check-translate:
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stubs:
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@mkdir -p circuitpython-stubs
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@$(PYTHON) tools/extract_pyi.py shared-bindings/ $(STUBDIR)
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@$(PYTHON) tools/extract_pyi.py extmod/ulab/code/ $(STUBDIR)/ulab
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@$(PYTHON) tools/extract_pyi.py ports/atmel-samd/bindings $(STUBDIR)
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@$(PYTHON) setup.py -q sdist
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@ -1 +1 @@
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Subproject commit 48cb939839fcf091fcdcdf742530b1b650066a15
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Subproject commit 11a7ecff6d76a02644ff23a734b792afaa615e44
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@ -8,7 +8,7 @@ msgid ""
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msgstr ""
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"Project-Id-Version: PACKAGE VERSION\n"
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"Report-Msgid-Bugs-To: \n"
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"POT-Creation-Date: 2020-07-24 19:58-0700\n"
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"POT-Creation-Date: 2020-07-28 16:57-0500\n"
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"PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n"
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"Last-Translator: FULL NAME <EMAIL@ADDRESS>\n"
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"Language-Team: LANGUAGE <LL@li.org>\n"
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@ -770,7 +770,7 @@ msgstr ""
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msgid "Extended advertisements with scan response not supported."
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msgstr ""
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#: extmod/ulab/code/fft.c
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#: extmod/ulab/code/fft/fft.c
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msgid "FFT is defined for ndarrays only"
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msgstr ""
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@ -1786,7 +1786,7 @@ msgstr ""
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msgid "addresses is empty"
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msgstr ""
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "arctan2 is implemented for scalars and ndarrays only"
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msgstr ""
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@ -1794,7 +1794,7 @@ msgstr ""
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msgid "arg is an empty sequence"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "argsort argument must be an ndarray"
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msgstr ""
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@ -1802,6 +1802,10 @@ msgstr ""
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msgid "argument has wrong type"
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msgstr ""
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#: extmod/ulab/code/linalg/linalg.c
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msgid "argument must be ndarray"
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msgstr ""
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#: py/argcheck.c shared-bindings/_stage/__init__.c
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#: shared-bindings/digitalio/DigitalInOut.c shared-bindings/gamepad/GamePad.c
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msgid "argument num/types mismatch"
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@ -1811,7 +1815,7 @@ msgstr ""
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msgid "argument should be a '%q' not a '%q'"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "arguments must be ndarrays"
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msgstr ""
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@ -1819,7 +1823,7 @@ msgstr ""
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msgid "array/bytes required on right side"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "attempt to get argmin/argmax of an empty sequence"
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msgstr ""
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@ -1827,15 +1831,15 @@ msgstr ""
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msgid "attributes not supported yet"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "axis must be -1, 0, None, or 1"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "axis must be -1, 0, or 1"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "axis must be None, 0, or 1"
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msgstr ""
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@ -2141,15 +2145,15 @@ msgstr ""
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msgid "conversion to object"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "convolve arguments must be linear arrays"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "convolve arguments must be ndarrays"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "convolve arguments must not be empty"
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msgstr ""
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@ -2157,7 +2161,7 @@ msgstr ""
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msgid "could not broadast input array from shape"
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msgstr ""
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#: extmod/ulab/code/poly.c
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#: extmod/ulab/code/poly/poly.c
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msgid "could not invert Vandermonde matrix"
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msgstr ""
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@ -2165,15 +2169,15 @@ msgstr ""
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msgid "couldn't determine SD card version"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "data must be iterable"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "data must be of equal length"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "ddof must be smaller than length of data set"
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msgstr ""
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@ -2202,7 +2206,7 @@ msgstr ""
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msgid "dict update sequence has wrong length"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "diff argument must be an ndarray"
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msgstr ""
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@ -2305,11 +2309,11 @@ msgstr ""
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msgid "filesystem must provide mount method"
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msgstr ""
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "first argument must be a callable"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "first argument must be a function"
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msgstr ""
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@ -2317,7 +2321,7 @@ msgstr ""
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msgid "first argument must be an iterable"
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msgstr ""
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "first argument must be an ndarray"
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msgstr ""
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@ -2329,7 +2333,7 @@ msgstr ""
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msgid "flattening order must be either 'C', or 'F'"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "flip argument must be an ndarray"
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msgstr ""
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@ -2362,11 +2366,11 @@ msgstr ""
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msgid "function got multiple values for argument '%q'"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "function has the same sign at the ends of interval"
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msgstr ""
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#: extmod/ulab/code/compare.c
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#: extmod/ulab/code/compare/compare.c
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msgid "function is implemented for scalars and ndarrays only"
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msgstr ""
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@ -2452,7 +2456,7 @@ msgstr ""
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msgid "indices must be integers, slices, or Boolean lists"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "initial values must be iterable"
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msgstr ""
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@ -2460,35 +2464,35 @@ msgstr ""
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msgid "inline assembler must be a function"
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msgstr ""
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#: extmod/ulab/code/create.c
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#: extmod/ulab/code/ulab_create.c
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msgid "input argument must be an integer or a 2-tuple"
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msgstr ""
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#: extmod/ulab/code/fft.c
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#: extmod/ulab/code/fft/fft.c
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msgid "input array length must be power of 2"
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msgstr ""
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#: extmod/ulab/code/poly.c
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#: extmod/ulab/code/poly/poly.c
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msgid "input data must be an iterable"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "input matrix is asymmetric"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "input matrix is singular"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "input must be square matrix"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "input must be tuple, list, range, or ndarray"
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msgstr ""
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#: extmod/ulab/code/poly.c
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#: extmod/ulab/code/poly/poly.c
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msgid "input vectors must be of equal length"
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msgstr ""
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@ -2500,7 +2504,7 @@ msgstr ""
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msgid "integer required"
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msgstr ""
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#: extmod/ulab/code/approx.c
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#: extmod/ulab/code/approx/approx.c
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msgid "interp is defined for 1D arrays of equal length"
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msgstr ""
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@ -2570,7 +2574,7 @@ msgstr ""
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msgid "iterables are not of the same length"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "iterations did not converge"
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msgstr ""
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@ -2634,11 +2638,11 @@ msgstr ""
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msgid "math domain error"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "matrix dimensions do not match"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "matrix is not positive definite"
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msgstr ""
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@ -2665,7 +2669,7 @@ msgstr ""
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msgid "module not found"
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msgstr ""
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#: extmod/ulab/code/poly.c
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#: extmod/ulab/code/poly/poly.c
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msgid "more degrees of freedom than data points"
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msgstr ""
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@ -2689,7 +2693,7 @@ msgstr ""
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msgid "must use keyword argument for key function"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "n must be between 0, and 9"
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msgstr ""
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@ -2787,11 +2791,11 @@ msgstr ""
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msgid "not enough arguments for format string"
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msgstr ""
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#: extmod/ulab/code/poly.c
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#: extmod/ulab/code/poly/poly.c
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msgid "number of arguments must be 2, or 3"
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msgstr ""
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#: extmod/ulab/code/create.c
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#: extmod/ulab/code/ulab_create.c
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msgid "number of points must be at least 2"
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msgstr ""
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@ -2862,12 +2866,12 @@ msgstr ""
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msgid "only slices with step=1 (aka None) are supported"
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msgstr ""
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#: extmod/ulab/code/compare.c extmod/ulab/code/ndarray.c
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/compare/compare.c extmod/ulab/code/ndarray.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "operands could not be broadcast together"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "operation is not implemented on ndarrays"
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msgstr ""
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@ -2959,7 +2963,7 @@ msgstr ""
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msgid "raw f-strings are not implemented"
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msgstr ""
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#: extmod/ulab/code/fft.c
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#: extmod/ulab/code/fft/fft.c
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msgid "real and imaginary parts must be of equal length"
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msgstr ""
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@ -3032,7 +3036,7 @@ msgstr ""
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msgid "single '}' encountered in format string"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "size is defined for ndarrays only"
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msgstr ""
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@ -3056,19 +3060,19 @@ msgstr ""
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msgid "soft reboot\n"
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msgstr ""
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#: extmod/ulab/code/numerical.c
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#: extmod/ulab/code/numerical/numerical.c
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msgid "sort argument must be an ndarray"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "sos array must be of shape (n_section, 6)"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "sos[:, 3] should be all ones"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "sosfilt requires iterable arguments"
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msgstr ""
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@ -3182,7 +3186,11 @@ msgstr ""
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msgid "too many values to unpack (expected %d)"
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msgstr ""
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#: extmod/ulab/code/linalg.c py/objstr.c
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#: extmod/ulab/code/approx/approx.c
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msgid "trapz is defined for 1D arrays of equal length"
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msgstr ""
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#: extmod/ulab/code/linalg/linalg.c py/objstr.c
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msgid "tuple index out of range"
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msgstr ""
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@ -3310,6 +3318,10 @@ msgstr ""
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msgid "value_count must be > 0"
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msgstr ""
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#: extmod/ulab/code/linalg/linalg.c
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msgid "vectors must have same lengths"
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msgstr ""
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#: shared-bindings/watchdog/WatchDogTimer.c
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msgid "watchdog timeout must be greater than 0"
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msgstr ""
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@ -3318,7 +3330,7 @@ msgstr ""
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msgid "window must be <= interval"
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msgstr ""
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#: extmod/ulab/code/linalg.c
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#: extmod/ulab/code/linalg/linalg.c
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msgid "wrong argument type"
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msgstr ""
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@ -3326,11 +3338,11 @@ msgstr ""
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msgid "wrong index type"
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msgstr ""
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "wrong input type"
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msgstr ""
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#: py/objstr.c
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#: extmod/ulab/code/ulab_create.c py/objstr.c
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msgid "wrong number of arguments"
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msgstr ""
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@ -3342,7 +3354,7 @@ msgstr ""
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msgid "wrong operand type"
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msgstr ""
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#: extmod/ulab/code/vectorise.c
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#: extmod/ulab/code/vector/vectorise.c
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msgid "wrong output type"
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msgstr ""
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@ -3362,14 +3374,14 @@ msgstr ""
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msgid "zero step"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "zi must be an ndarray"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "zi must be of float type"
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msgstr ""
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#: extmod/ulab/code/filter.c
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#: extmod/ulab/code/filter/filter.c
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msgid "zi must be of shape (n_section, 2)"
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msgstr ""
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1
py/py.mk
1
py/py.mk
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@ -107,6 +107,7 @@ endif
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ifeq ($(CIRCUITPY_ULAB),1)
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SRC_MOD += $(patsubst $(TOP)/%,%,$(wildcard $(TOP)/extmod/ulab/code/*.c))
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SRC_MOD += $(patsubst $(TOP)/%,%,$(wildcard $(TOP)/extmod/ulab/code/*/*.c))
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CFLAGS_MOD += -DCIRCUITPY_ULAB=1 -DMODULE_ULAB_ENABLED=1
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$(BUILD)/extmod/ulab/code/%.o: CFLAGS += -Wno-float-equal -Wno-sign-compare -DCIRCUITPY
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endif
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@ -1,169 +0,0 @@
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"""Manipulate numeric data similar to numpy
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||||
`ulab` is a numpy-like module for micropython, meant to simplify and
|
||||
speed up common mathematical operations on arrays. The primary goal was to
|
||||
implement a small subset of numpy that might be useful in the context of a
|
||||
microcontroller. This means low-level data processing of linear (array) and
|
||||
two-dimensional (matrix) data.
|
||||
|
||||
`ulab` is adapted from micropython-ulab, and the original project's
|
||||
documentation can be found at
|
||||
https://micropython-ulab.readthedocs.io/en/latest/
|
||||
|
||||
`ulab` is modeled after numpy, and aims to be a compatible subset where
|
||||
possible. Numpy's documentation can be found at
|
||||
https://docs.scipy.org/doc/numpy/index.html"""
|
||||
|
||||
|
||||
class array:
|
||||
"""1- and 2- dimensional array"""
|
||||
def __init__(self, values, *, dtype=float) -> None:
|
||||
""":param sequence values: Sequence giving the initial content of the array.
|
||||
:param dtype: The type of array values, ``int8``, ``uint8``, ``int16``, ``uint16``, or ``float``
|
||||
|
||||
The `values` sequence can either be another ~ulab.array, sequence of numbers
|
||||
(in which case a 1-dimensional array is created), or a sequence where each
|
||||
subsequence has the same length (in which case a 2-dimensional array is
|
||||
created).
|
||||
|
||||
Passing a ~ulab.array and a different dtype can be used to convert an array
|
||||
from one dtype to another.
|
||||
|
||||
In many cases, it is more convenient to create an array from a function
|
||||
like `zeros` or `linspace`.
|
||||
|
||||
`ulab.array` implements the buffer protocol, so it can be used in many
|
||||
places an `array.array` can be used."""
|
||||
...
|
||||
|
||||
shape: tuple = ...
|
||||
"""The size of the array, a tuple of length 1 or 2"""
|
||||
|
||||
size: int = ...
|
||||
"""The number of elements in the array"""
|
||||
|
||||
itemsize: int = ...
|
||||
"""The number of elements in the array"""
|
||||
|
||||
def flatten(self, *, order='C'):
|
||||
""":param order: Whether to flatten by rows ('C') or columns ('F')
|
||||
|
||||
Returns a new `ulab.array` object which is always 1 dimensional.
|
||||
If order is 'C' (the default", then the data is ordered in rows;
|
||||
If it is 'F', then the data is ordered in columns. "C" and "F" refer
|
||||
to the typical storage organization of the C and Fortran languages."""
|
||||
...
|
||||
|
||||
def sort(self, *, axis=1):
|
||||
""":param axis: Whether to sort elements within rows (0), columns (1), or elements (None)"""
|
||||
...
|
||||
|
||||
def transpose(self):
|
||||
"""Swap the rows and columns of a 2-dimensional array"""
|
||||
...
|
||||
|
||||
def __add__(self):
|
||||
"""Adds corresponding elements of the two arrays, or adds a number to all
|
||||
elements of the array. If both arguments are arrays, their sizes must match."""
|
||||
...
|
||||
|
||||
def __sub__(self):
|
||||
"""Subtracts corresponding elements of the two arrays, or adds a number to all
|
||||
elements of the array. If both arguments are arrays, their sizes must match."""
|
||||
...
|
||||
|
||||
def __mul__(self):
|
||||
"""Multiplies corresponding elements of the two arrays, or multiplies
|
||||
all elements of the array by a number. If both arguments are arrays,
|
||||
their sizes must match."""
|
||||
...
|
||||
|
||||
def __div__(self):
|
||||
"""Multiplies corresponding elements of the two arrays, or divides
|
||||
all elements of the array by a number. If both arguments are arrays,
|
||||
their sizes must match."""
|
||||
...
|
||||
|
||||
def __pow__():
|
||||
"""Computes the power (x**y) of corresponding elements of the the two arrays,
|
||||
or one number and one array. If both arguments are arrays, their sizes
|
||||
must match."""
|
||||
...
|
||||
|
||||
def __getitem__():
|
||||
"""Retrieve an element of the array."""
|
||||
...
|
||||
|
||||
def __setitem__():
|
||||
"""Set an element of the array."""
|
||||
...
|
||||
|
||||
int8 = ...
|
||||
"""Type code for signed integers in the range -128 .. 127 inclusive, like the 'b' typecode of `array.array`"""
|
||||
|
||||
int16 = ...
|
||||
"""Type code for signed integers in the range -32768 .. 32767 inclusive, like the 'h' typecode of `array.array`"""
|
||||
|
||||
float = ...
|
||||
"""Type code for floating point values, like the 'f' typecode of `array.array`"""
|
||||
|
||||
uint8 = ...
|
||||
"""Type code for unsigned integers in the range 0 .. 255 inclusive, like the 'H' typecode of `array.array`"""
|
||||
|
||||
uint16 = ...
|
||||
"""Type code for unsigned integers in the range 0 .. 65535 inclusive, like the 'h' typecode of `array.array`"""
|
||||
|
||||
def ones(shape, *, dtype=float):
|
||||
"""
|
||||
.. param: shape
|
||||
Shape of the array, either an integer (for a 1-D array) or a tuple of 2 integers (for a 2-D array)
|
||||
|
||||
.. param: dtype
|
||||
Type of values in the array
|
||||
|
||||
Return a new array of the given shape with all elements set to 1."""
|
||||
...
|
||||
|
||||
def zeros(shape, *, dtype):
|
||||
"""
|
||||
.. param: shape
|
||||
Shape of the array, either an integer (for a 1-D array) or a tuple of 2 integers (for a 2-D array)
|
||||
|
||||
.. param: dtype
|
||||
Type of values in the array
|
||||
|
||||
Return a new array of the given shape with all elements set to 0."""
|
||||
...
|
||||
|
||||
|
||||
def eye(size, *, dtype=float):
|
||||
"""Return a new square array of size, with the diagonal elements set to 1
|
||||
and the other elements set to 0."""
|
||||
...
|
||||
|
||||
def linspace(start, stop, *, dtype=float, num=50, endpoint=True):
|
||||
"""
|
||||
.. param: start
|
||||
|
||||
First value in the array
|
||||
|
||||
.. param: stop
|
||||
|
||||
Final value in the array
|
||||
|
||||
.. param int: num
|
||||
|
||||
Count of values in the array
|
||||
|
||||
.. param: dtype
|
||||
|
||||
Type of values in the array
|
||||
|
||||
.. param bool: endpoint
|
||||
|
||||
Whether the ``stop`` value is included. Note that even when
|
||||
endpoint=True, the exact ``stop`` value may not be included due to the
|
||||
inaccuracy of floating point arithmetic.
|
||||
|
||||
Return a new 1-D array with ``num`` elements ranging from ``start`` to ``stop`` linearly."""
|
||||
...
|
||||
|
|
@ -1,51 +0,0 @@
|
|||
"""Numerical approximation methods"""
|
||||
|
||||
def bisect(fun, a, b, *, xtol=2.4e-7, maxiter=100) -> float:
|
||||
"""
|
||||
:param callable f: The function to bisect
|
||||
:param float a: The left side of the interval
|
||||
:param float b: The right side of the interval
|
||||
:param float xtol: The tolerance value
|
||||
:param float maxiter: The maximum number of iterations to perform
|
||||
|
||||
Find a solution (zero) of the function ``f(x)`` on the interval
|
||||
(``a``..``b``) using the bisection method. The result is accurate to within
|
||||
``xtol`` unless more than ``maxiter`` steps are required."""
|
||||
...
|
||||
|
||||
def newton(fun, x0, *, xtol=2.4e-7, rtol=0.0, maxiter=50) -> float:
|
||||
"""
|
||||
:param callable f: The function to bisect
|
||||
:param float x0: The initial x value
|
||||
:param float xtol: The absolute tolerance value
|
||||
:param float rtol: The relative tolerance value
|
||||
:param float maxiter: The maximum number of iterations to perform
|
||||
|
||||
Find a solution (zero) of the function ``f(x)`` using Newton's Method.
|
||||
The result is accurate to within ``xtol * rtol * |f(x)|`` unless more than
|
||||
``maxiter`` steps are requried."""
|
||||
...
|
||||
|
||||
def fmin(fun, x0, *, xatol=2.4e-7, fatol=2.4e-7, maxiter=200) -> float:
|
||||
"""
|
||||
:param callable f: The function to bisect
|
||||
:param float x0: The initial x value
|
||||
:param float xatol: The absolute tolerance value
|
||||
:param float fatol: The relative tolerance value
|
||||
|
||||
Find a minimum of the function ``f(x)`` using the downhill simplex method.
|
||||
The located ``x`` is within ``fxtol`` of the actual minimum, and ``f(x)``
|
||||
is within ``fatol`` of the actual minimum unless more than ``maxiter``
|
||||
steps are requried."""
|
||||
...
|
||||
|
||||
def interp(x: ulab.array, xp:ulab.array, fp:ulab.array, *, left=None, right=None) -> ulab.array:
|
||||
"""
|
||||
:param ulab.array x: The x-coordinates at which to evaluate the interpolated values.
|
||||
:param ulab.array xp: The x-coordinates of the data points, must be increasing
|
||||
:param ulab.array fp: The y-coordinates of the data points, same length as xp
|
||||
:param left: Value to return for ``x < xp[0]``, default is ``fp[0]``.
|
||||
:param right: Value to return for ``x > xp[-1]``, default is ``fp[-1]``.
|
||||
|
||||
Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x."""
|
||||
...
|
||||
|
|
@ -1,38 +0,0 @@
|
|||
"""Comparison functions"""
|
||||
|
||||
def clip(x1, x2, x3):
|
||||
"""
|
||||
Constrain the values from ``x1`` to be between ``x2`` and ``x3``.
|
||||
``x2`` is assumed to be less than or equal to ``x3``.
|
||||
|
||||
Arguments may be ulab arrays or numbers. All array arguments
|
||||
must be the same size. If the inputs are all scalars, a 1-element
|
||||
array is returned.
|
||||
|
||||
Shorthand for ``ulab.maximum(x2, ulab.minimum(x1, x3))``"""
|
||||
...
|
||||
|
||||
def maximum(x1, x2):
|
||||
"""
|
||||
Compute the element by element maximum of the arguments.
|
||||
|
||||
Arguments may be ulab arrays or numbers. All array arguments
|
||||
must be the same size. If the inputs are both scalars, a number is
|
||||
returned"""
|
||||
...
|
||||
|
||||
def minimum(x1, x2):
|
||||
"""Compute the element by element minimum of the arguments.
|
||||
|
||||
Arguments may be ulab arrays or numbers. All array arguments
|
||||
must be the same size. If the inputs are both scalars, a number is
|
||||
returned"""
|
||||
...
|
||||
|
||||
def equal(x1, x2):
|
||||
"""Return an array of bool which is true where x1[i] == x2[i] and false elsewhere"""
|
||||
...
|
||||
|
||||
def not_equal(x1, x2):
|
||||
"""Return an array of bool which is false where x1[i] == x2[i] and true elsewhere"""
|
||||
...
|
||||
|
|
@ -1,10 +0,0 @@
|
|||
"""Additional functions not in numpy"""
|
||||
|
||||
def spectrum(r):
|
||||
"""
|
||||
:param ulab.array r: A 1-dimension array of values whose size is a power of 2
|
||||
|
||||
Computes the spectrum of the input signal. This is the absolute value of the (complex-valued) fft of the signal.
|
||||
|
||||
This function is similar to scipy's ``scipy.signal.spectrogram``."""
|
||||
...
|
||||
|
|
@ -1,22 +0,0 @@
|
|||
"""Frequency-domain functions"""
|
||||
|
||||
def fft(r, c=None):
|
||||
"""
|
||||
:param ulab.array r: A 1-dimension array of values whose size is a power of 2
|
||||
:param ulab.array c: An optional 1-dimension array of values whose size is a power of 2, giving the complex part of the value
|
||||
:return tuple (r, c): The real and complex parts of the FFT
|
||||
|
||||
Perform a Fast Fourier Transform from the time domain into the frequency domain
|
||||
|
||||
See also ~ulab.extras.spectrum, which computes the magnitude of the fft,
|
||||
rather than separately returning its real and imaginary parts."""
|
||||
...
|
||||
|
||||
def ifft(r, c=None):
|
||||
"""
|
||||
:param ulab.array r: A 1-dimension array of values whose size is a power of 2
|
||||
:param ulab.array c: An optional 1-dimension array of values whose size is a power of 2, giving the complex part of the value
|
||||
:return tuple (r, c): The real and complex parts of the inverse FFT
|
||||
|
||||
Perform an Inverse Fast Fourier Transform from the frequeny domain into the time domain"""
|
||||
...
|
||||
|
|
@ -1,36 +0,0 @@
|
|||
"""Filtering functions"""
|
||||
|
||||
def convolve(r, c=None):
|
||||
"""
|
||||
:param ulab.array a:
|
||||
:param ulab.array v:
|
||||
|
||||
Returns the discrete, linear convolution of two one-dimensional sequences.
|
||||
The result is always an array of float. Only the ``full`` mode is supported,
|
||||
and the ``mode`` named parameter of numpy is not accepted. Note that all other
|
||||
modes can be had by slicing a ``full`` result.
|
||||
|
||||
Convolution filters can implement high pass, low pass, band pass, etc.,
|
||||
filtering operations. Convolution filters are typically constructed ahead
|
||||
of time. This can be done using desktop python with scipy, or on web pages
|
||||
such as https://fiiir.com/
|
||||
|
||||
Convolution is most time-efficient when both inputs are of float type."""
|
||||
...
|
||||
|
||||
def sosfilt(sos : ulab.array, x : ulab.array, *, xi : Optional[ulab.array] = None) -> Union[ulab.array, Tuple[ulab.array, ulab.array]]:
|
||||
"""
|
||||
:param ulab.array sos: Array of second-order filter coefficients, must have shape (n_sections, 6). Each row corresponds to a second-order section, with the first three columns providing the numerator coefficients and the last three providing the denominator coefficients.
|
||||
:param ulab.array x: The data to be filtered
|
||||
:param ulab.array zi: Optional initial conditions for the filter
|
||||
|
||||
:return: If ``xi`` is not specified, the filter result alone is returned. If ``xi`` is specified, the return value is a 2-tuple of the filter result and the final filter conditions.
|
||||
|
||||
Filter data along one dimension using cascaded second-order sections.
|
||||
|
||||
Filter a data sequence, x, using a digital IIR filter defined by sos.
|
||||
|
||||
The filter function is implemented as a series of second-order filters with direct-form II transposed structure. It is designed to minimize numerical precision errors for high-order filters.
|
||||
|
||||
Filter coefficients can be generated by using scipy's filter generators such as ``signal.ellip(..., output='sos')``."""
|
||||
...
|
||||
|
|
@ -1,57 +0,0 @@
|
|||
"""Linear algebra functions"""
|
||||
|
||||
|
||||
def cholesky(A):
|
||||
"""
|
||||
:param ~ulab.array A: a positive definite, symmetric square matrix
|
||||
:return ~ulab.array L: a square root matrix in the lower triangular form
|
||||
:raises ValueError: If the input does not fulfill the necessary conditions
|
||||
|
||||
The returned matrix satisfies the equation m=LL*"""
|
||||
...
|
||||
|
||||
def det():
|
||||
"""
|
||||
:param: m, a square matrix
|
||||
:return float: The determinant of the matrix
|
||||
|
||||
Computes the eigenvalues and eigenvectors of a square matrix"""
|
||||
...
|
||||
|
||||
def dot(m1, m2):
|
||||
"""
|
||||
:param ~ulab.array m1: a matrix
|
||||
:param ~ulab.array m2: a matrix
|
||||
|
||||
Computes the matrix product of two matrices
|
||||
|
||||
**WARNING:** Unlike ``numpy``, this function cannot be used to compute the dot product of two vectors"""
|
||||
...
|
||||
|
||||
def eig(m):
|
||||
"""
|
||||
:param m: a square matrix
|
||||
:return tuple (eigenvectors, eigenvalues):
|
||||
|
||||
Computes the eigenvalues and eigenvectors of a square matrix"""
|
||||
...
|
||||
|
||||
def inv(m):
|
||||
"""
|
||||
:param ~ulab.array m: a square matrix
|
||||
:return: The inverse of the matrix, if it exists
|
||||
:raises ValueError: if the matrix is not invertible
|
||||
|
||||
Computes the inverse of a square matrix"""
|
||||
...
|
||||
|
||||
def size(array):
|
||||
"""Return the total number of elements in the array, as an integer."""
|
||||
...
|
||||
|
||||
def trace(m):
|
||||
"""
|
||||
:param m: a square matrix
|
||||
|
||||
Compute the trace of the matrix, the sum of its diagonal elements."""
|
||||
...
|
||||
|
|
@ -1,57 +0,0 @@
|
|||
"""Numerical and Statistical functions
|
||||
|
||||
Most of these functions take an "axis" argument, which indicates whether to
|
||||
operate over the flattened array (None), rows (0), or columns (1)."""
|
||||
|
||||
def argmax(array, *, axis=None):
|
||||
"""Return the index of the maximum element of the 1D array"""
|
||||
...
|
||||
|
||||
def argmin(array, *, axis=None):
|
||||
"""Return the index of the minimum element of the 1D array"""
|
||||
...
|
||||
|
||||
def argsort(array, *, axis=None):
|
||||
"""Returns an array which gives indices into the input array from least to greatest."""
|
||||
...
|
||||
|
||||
def diff(array, *, axis=1):
|
||||
"""Return the numerical derivative of successive elements of the array, as
|
||||
an array. axis=None is not supported."""
|
||||
...
|
||||
|
||||
def flip(array, *, axis=None):
|
||||
"""Returns a new array that reverses the order of the elements along the
|
||||
given axis, or along all axes if axis is None."""
|
||||
...
|
||||
|
||||
def max(array, *, axis=None):
|
||||
"""Return the maximum element of the 1D array"""
|
||||
...
|
||||
|
||||
def mean(array, *, axis=None):
|
||||
"""Return the mean element of the 1D array, as a number if axis is None, otherwise as an array."""
|
||||
...
|
||||
|
||||
def min(array, *, axis=None):
|
||||
"""Return the minimum element of the 1D array"""
|
||||
...
|
||||
|
||||
def roll(array, distance, *, axis=None):
|
||||
"""Shift the content of a vector by the positions given as the second
|
||||
argument. If the ``axis`` keyword is supplied, the shift is applied to
|
||||
the given axis. The array is modified in place."""
|
||||
...
|
||||
|
||||
def std(array, *, axis=None):
|
||||
"""Return the standard deviation of the array, as a number if axis is None, otherwise as an array."""
|
||||
...
|
||||
|
||||
def sum(array, *, axis=None):
|
||||
"""Return the sum of the array, as a number if axis is None, otherwise as an array."""
|
||||
...
|
||||
|
||||
def sort(array, *, axis=0):
|
||||
"""Sort the array along the given axis, or along all axes if axis is None.
|
||||
The array is modified in place."""
|
||||
...
|
||||
|
|
@ -1,10 +0,0 @@
|
|||
"""Polynomial functions"""
|
||||
|
||||
def polyfit(x, y, degree):
|
||||
"""Return a polynomial of given degree that approximates the function
|
||||
f(x)=y. If x is not supplied, it is the range(len(y))."""
|
||||
...
|
||||
|
||||
def polyval(p, x):
|
||||
"""Evaluate the polynomial p at the points x. x must be an array."""
|
||||
...
|
||||
|
|
@ -1,118 +0,0 @@
|
|||
"""Element-by-element functions
|
||||
|
||||
These functions can operate on numbers, 1-D arrays, or 2-D arrays by
|
||||
applying the function to every element in the array. This is typically
|
||||
much more efficient than expressing the same operation as a Python loop."""
|
||||
|
||||
def acos():
|
||||
"""Computes the inverse cosine function"""
|
||||
...
|
||||
|
||||
def acosh():
|
||||
"""Computes the inverse hyperbolic cosine function"""
|
||||
...
|
||||
|
||||
def asin():
|
||||
"""Computes the inverse sine function"""
|
||||
...
|
||||
|
||||
def asinh():
|
||||
"""Computes the inverse hyperbolic sine function"""
|
||||
...
|
||||
|
||||
def around(a, *, decimals):
|
||||
"""Returns a new float array in which each element is rounded to
|
||||
``decimals`` places."""
|
||||
...
|
||||
|
||||
def atan():
|
||||
"""Computes the inverse tangent function; the return values are in the
|
||||
range [-pi/2,pi/2]."""
|
||||
...
|
||||
|
||||
def atan2(y,x):
|
||||
"""Computes the inverse tangent function of y/x; the return values are in
|
||||
the range [-pi, pi]."""
|
||||
...
|
||||
|
||||
def atanh():
|
||||
"""Computes the inverse hyperbolic tangent function"""
|
||||
...
|
||||
|
||||
def ceil():
|
||||
"""Rounds numbers up to the next whole number"""
|
||||
...
|
||||
|
||||
def cos():
|
||||
"""Computes the cosine function"""
|
||||
...
|
||||
|
||||
def erf():
|
||||
"""Computes the error function, which has applications in statistics"""
|
||||
...
|
||||
|
||||
def erfc():
|
||||
"""Computes the complementary error function, which has applications in statistics"""
|
||||
...
|
||||
|
||||
def exp():
|
||||
"""Computes the exponent function."""
|
||||
...
|
||||
|
||||
def expm1():
|
||||
"""Computes $e^x-1$. In certain applications, using this function preserves numeric accuracy better than the `exp` function."""
|
||||
...
|
||||
|
||||
def floor():
|
||||
"""Rounds numbers up to the next whole number"""
|
||||
...
|
||||
|
||||
def gamma():
|
||||
"""Computes the gamma function"""
|
||||
...
|
||||
|
||||
def lgamma():
|
||||
"""Computes the natural log of the gamma function"""
|
||||
...
|
||||
|
||||
def log():
|
||||
"""Computes the natural log"""
|
||||
...
|
||||
|
||||
def log10():
|
||||
"""Computes the log base 10"""
|
||||
...
|
||||
|
||||
def log2():
|
||||
"""Computes the log base 2"""
|
||||
...
|
||||
|
||||
def sin():
|
||||
"""Computes the sine"""
|
||||
...
|
||||
|
||||
def sinh():
|
||||
"""Computes the hyperbolic sine"""
|
||||
...
|
||||
|
||||
def sqrt():
|
||||
"""Computes the square root"""
|
||||
...
|
||||
|
||||
def tan():
|
||||
"""Computes the tangent"""
|
||||
...
|
||||
|
||||
def tanh():
|
||||
"""Computes the hyperbolic tangent"""
|
||||
...
|
||||
|
||||
def vectorize(f, *, otypes=None):
|
||||
"""
|
||||
:param callable f: The function to wrap
|
||||
:param otypes: List of array types that may be returned by the function. None is intepreted to mean the return value is float.
|
||||
|
||||
Wrap a Python function ``f`` so that it can be applied to arrays.
|
||||
|
||||
The callable must return only values of the types specified by otypes, or the result is undefined."""
|
||||
...
|
||||
Loading…
Reference in New Issue