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Merge pull request #483 from poke1024/manipulate4mathics
Manipulate[]
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#!/usr/bin/env python | ||
# -*- coding: utf-8 -*- | ||
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from __future__ import unicode_literals | ||
from __future__ import absolute_import | ||
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from mathics.core.expression import String, strip_context | ||
from mathics import settings | ||
from mathics.core.evaluation import Evaluation, Output | ||
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from mathics.builtin.base import Builtin | ||
from mathics.core.expression import Expression, Symbol, Integer, from_python | ||
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try: | ||
from ipykernel.kernelbase import Kernel | ||
_jupyter = True | ||
except ImportError: | ||
_jupyter = False | ||
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try: | ||
from ipywidgets import IntSlider, FloatSlider, ToggleButtons, Box, DOMWidget | ||
from IPython.core.formatters import IPythonDisplayFormatter | ||
_ipywidgets = True | ||
except ImportError: | ||
# fallback to non-Manipulate-enabled build if we don't have ipywidgets installed. | ||
_ipywidgets = False | ||
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""" | ||
A basic implementation of Manipulate[]. There is currently no support for Dynamic[] elements. | ||
This implementation is basically a port from ipywidget.widgets.interaction for Mathics. | ||
""" | ||
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def _interactive(interact_f, kwargs_widgets): | ||
# this is a modified version of interactive() in ipywidget.widgets.interaction | ||
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container = Box(_dom_classes=['widget-interact']) | ||
container.children = [w for w in kwargs_widgets if isinstance(w, DOMWidget)] | ||
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def call_f(name=None, old=None, new=None): | ||
kwargs = dict((widget._kwarg, widget.value) for widget in kwargs_widgets) | ||
try: | ||
interact_f(**kwargs) | ||
except Exception as e: | ||
container.log.warn("Exception in interact callback: %s", e, exc_info=True) | ||
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for widget in kwargs_widgets: | ||
widget.on_trait_change(call_f, 'value') | ||
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container.on_displayed(lambda _: call_f(None, None, None)) | ||
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return container | ||
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class IllegalWidgetArguments(Exception): | ||
def __init__(self, var): | ||
super(IllegalWidgetArguments, self).__init__() | ||
self.var = var | ||
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class JupyterWidgetError(Exception): | ||
def __init__(self, err): | ||
super(JupyterWidgetError, self).__init__() | ||
self.err = err | ||
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class ManipulateParameter(Builtin): # parses one Manipulate[] parameter spec, e.g. {x, 1, 2}, see _WidgetInstantiator | ||
context = 'System`Private`' | ||
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rules = { | ||
# detect x and {x, default} and {x, default, label}. | ||
'System`Private`ManipulateParameter[{s_Symbol, r__}]': | ||
'System`Private`ManipulateParameter[{Symbol -> s, Label -> s}, {r}]', | ||
'System`Private`ManipulateParameter[{{s_Symbol, d_}, r__}]': | ||
'System`Private`ManipulateParameter[{Symbol -> s, Default -> d, Label -> s}, {r}]', | ||
'System`Private`ManipulateParameter[{{s_Symbol, d_, l_}, r__}]': | ||
'System`Private`ManipulateParameter[{Symbol -> s, Default -> d, Label -> l}, {r}]', | ||
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# detect different kinds of widgets. on the use of the duplicate key "Default ->", see _WidgetInstantiator.add() | ||
'System`Private`ManipulateParameter[var_, {min_?RealNumberQ, max_?RealNumberQ}]': | ||
'Join[{Type -> "Continuous", Minimum -> min, Maximum -> max, Default -> min}, var]', | ||
'System`Private`ManipulateParameter[var_, {min_?RealNumberQ, max_?RealNumberQ, step_?RealNumberQ}]': | ||
'Join[{Type -> "Discrete", Minimum -> min, Maximum -> max, Step -> step, Default -> min}, var]', | ||
'System`Private`ManipulateParameter[var_, {opt_List}] /; Length[opt] > 0': | ||
'Join[{Type -> "Options", Options -> opt, Default -> Part[opt, 1]}, var]' | ||
} | ||
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def _manipulate_label(x): # gets the label that is displayed for a symbol or name | ||
if isinstance(x, String): | ||
return x.get_string_value() | ||
elif isinstance(x, Symbol): | ||
return strip_context(x.get_name()) | ||
else: | ||
return str(x) | ||
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def _create_widget(widget, **kwargs): | ||
try: | ||
return widget(**kwargs) | ||
except Exception as e: | ||
raise JupyterWidgetError(str(e)) | ||
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class _WidgetInstantiator(): | ||
# we do not want to have widget instances (like FloatSlider) get into the evaluation pipeline (e.g. via Expression | ||
# or Atom), since there might be all kinds of problems with serialization of these widget classes. therefore, the | ||
# elegant recursive solution for parsing parameters (like in Table[]) is not feasible here; instead, we must create | ||
# and use the widgets in one "transaction" here, without holding them in expressions or atoms. | ||
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def __init__(self): | ||
self._widgets = [] # the ipywidget widgets to control the manipulated variables | ||
self._parsers = {} # lambdas to decode the widget values into Mathics expressions | ||
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def add(self, expression, evaluation): | ||
expr = Expression('System`Private`ManipulateParameter', expression).evaluate(evaluation) | ||
if expr.get_head_name() != 'System`List': # if everything was parsed ok, we get a List | ||
return False | ||
# convert the rules given us by ManipulateParameter[] into a dict. note: duplicate keys | ||
# will be overwritten, the latest one wins. | ||
kwargs = {'evaluation': evaluation} | ||
for rule in expr.leaves: | ||
if rule.get_head_name() != 'System`Rule' or len(rule.leaves) != 2: | ||
return False | ||
kwargs[strip_context(rule.leaves[0].to_python()).lower()] = rule.leaves[1] | ||
widget = kwargs['type'].get_string_value() | ||
del kwargs['type'] | ||
getattr(self, '_add_%s_widget' % widget.lower())(**kwargs) # create the widget | ||
return True | ||
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def get_widgets(self): | ||
return self._widgets | ||
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def build_callback(self, callback): | ||
parsers = self._parsers | ||
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def new_callback(**kwargs): | ||
callback(**dict((name, parsers[name](value)) for (name, value) in kwargs.items())) | ||
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return new_callback | ||
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def _add_continuous_widget(self, symbol, label, default, minimum, maximum, evaluation): | ||
minimum_value = minimum.to_python() | ||
maximum_value = maximum.to_python() | ||
if minimum_value > maximum_value: | ||
raise IllegalWidgetArguments(symbol) | ||
else: | ||
defval = min(max(default.to_python(), minimum_value), maximum_value) | ||
widget = _create_widget(FloatSlider, value=defval, min=minimum_value, max=maximum_value) | ||
self._add_widget(widget, symbol.get_name(), lambda x: from_python(x), label) | ||
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def _add_discrete_widget(self, symbol, label, default, minimum, maximum, step, evaluation): | ||
minimum_value = minimum.to_python() | ||
maximum_value = maximum.to_python() | ||
step_value = step.to_python() | ||
if minimum_value > maximum_value or step_value <= 0 or step_value > (maximum_value - minimum_value): | ||
raise IllegalWidgetArguments(symbol) | ||
else: | ||
default_value = min(max(default.to_python(), minimum_value), maximum_value) | ||
if all(isinstance(x, Integer) for x in [minimum, maximum, default, step]): | ||
widget = _create_widget(IntSlider, value=default_value, min=minimum_value, max=maximum_value, | ||
step=step_value) | ||
else: | ||
widget = _create_widget(FloatSlider, value=default_value, min=minimum_value, max=maximum_value, | ||
step=step_value) | ||
self._add_widget(widget, symbol.get_name(), lambda x: from_python(x), label) | ||
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def _add_options_widget(self, symbol, options, default, label, evaluation): | ||
formatted_options = [] | ||
for i, option in enumerate(options.leaves): | ||
data = evaluation.format_all_outputs(option) | ||
formatted_options.append((data['text/plain'], i)) | ||
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default_index = 0 | ||
for i, option in enumerate(options.leaves): | ||
if option.same(default): | ||
default_index = i | ||
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widget = _create_widget(ToggleButtons, options=formatted_options, value=default_index) | ||
self._add_widget(widget, symbol.get_name(), lambda j: options.leaves[j], label) | ||
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def _add_widget(self, widget, name, parse, label): | ||
if not widget.description: | ||
widget.description = _manipulate_label(label) | ||
widget._kwarg = name # see _interactive() above | ||
self._parsers[name] = parse | ||
self._widgets.append(widget) | ||
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class ManipulateOutput(Output): | ||
def max_stored_size(self, settings): | ||
return self.output.max_stored_size(settings) | ||
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def out(self, out): | ||
return self.output.out(out) | ||
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def clear_output(wait=False): | ||
raise NotImplementedError | ||
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def display_data(self, result): | ||
raise NotImplementedError | ||
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class Manipulate(Builtin): | ||
""" | ||
<dl> | ||
<dt>'Manipulate[$expr1$, {$u$, $u_min$, $u_max$}]' | ||
<dd>interactively compute and display an expression with different values of $u$. | ||
<dt>'Manipulate[$expr1$, {$u$, $u_min$, $u_max$, $du$}]' | ||
<dd>allows $u$ to vary between $u_min$ and $u_max$ in steps of $du$. | ||
<dt>'Manipulate[$expr1$, {{$u$, $u_init$}, $u_min$, $u_max$, ...}]' | ||
<dd>starts with initial value of $u_init$. | ||
<dt>'Manipulate[$expr1$, {{$u$, $u_init$, $u_lbl$}, ...}]' | ||
<dd>labels the $u$ controll by $u_lbl$. | ||
<dt>'Manipulate[$expr1$, {$u$, {$u_1$, $u_2$, ...}}]' | ||
<dd>sets $u$ to take discrete values $u_1$, $u_2$, ... . | ||
<dt>'Manipulate[$expr1$, {$u$, ...}, {$v$, ...}, ...]' | ||
<dd>control each of $u$, $v$, ... . | ||
</dl> | ||
>> Manipulate[N[Sin[y]], {y, 1, 20, 2}] | ||
: Manipulate[] only works inside a Jupyter notebook. | ||
= Manipulate[N[Sin[y]], {y, 1, 20, 2}] | ||
>> Manipulate[i ^ 3, {i, {2, x ^ 4, a}}] | ||
: Manipulate[] only works inside a Jupyter notebook. | ||
= Manipulate[i ^ 3, {i, {2, x ^ 4, a}}] | ||
>> Manipulate[x ^ y, {x, 1, 20}, {y, 1, 3}] | ||
: Manipulate[] only works inside a Jupyter notebook. | ||
= Manipulate[x ^ y, {x, 1, 20}, {y, 1, 3}] | ||
>> Manipulate[N[1 / x], {{x, 1}, 0, 2}] | ||
: Manipulate[] only works inside a Jupyter notebook. | ||
= Manipulate[N[1 / x], {{x, 1}, 0, 2}] | ||
>> Manipulate[N[1 / x], {{x, 1}, 0, 2, 0.1}] | ||
: Manipulate[] only works inside a Jupyter notebook. | ||
= Manipulate[N[1 / x], {{x, 1}, 0, 2, 0.1}] | ||
""" | ||
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# TODO: correct in the jupyter interface but can't be checked in tests | ||
""" | ||
#> Manipulate[x, {x}] | ||
= Manipulate[x, {x}] | ||
#> Manipulate[x, {x, 1, 0}] | ||
: 'Illegal variable range or step parameters for `x`. | ||
= Manipulate[x, {x, 1, 0}] | ||
""" | ||
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attributes = ('HoldAll',) # we'll call ReleaseHold at the time of evaluation below | ||
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messages = { | ||
'jupyter': 'Manipulate[] only works inside a Jupyter notebook.', | ||
'imathics': 'Your IMathics kernel does not seem to support all necessary operations. ' + | ||
'Please check that you have the latest version installed.', | ||
'widgetmake': 'Jupyter widget construction failed with "``".', | ||
'widgetargs': 'Illegal variable range or step parameters for ``.', | ||
'widgetdisp': 'Jupyter failed to display the widget.', | ||
} | ||
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requires = ( | ||
'ipywidgets', | ||
) | ||
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def apply(self, expr, args, evaluation): | ||
'Manipulate[expr_, args__]' | ||
if (not _jupyter) or (not Kernel.initialized()) or (Kernel.instance() is None): | ||
return evaluation.message('Manipulate', 'jupyter') | ||
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instantiator = _WidgetInstantiator() # knows about the arguments and their widgets | ||
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for arg in args.get_sequence(): | ||
try: | ||
if not instantiator.add(arg, evaluation): # not a valid argument pattern? | ||
return | ||
except IllegalWidgetArguments as e: | ||
return evaluation.message('Manipulate', 'widgetargs', strip_context(str(e.var))) | ||
except JupyterWidgetError as e: | ||
return evaluation.message('Manipulate', 'widgetmake', e.err) | ||
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clear_output_callback = evaluation.output.clear | ||
display_data_callback = evaluation.output.display # for pushing updates | ||
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try: | ||
clear_output_callback(wait=True) | ||
except NotImplementedError: | ||
return evaluation.message('Manipulate', 'imathics') | ||
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def callback(**kwargs): | ||
clear_output_callback(wait=True) | ||
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line_no = evaluation.definitions.get_line_no() | ||
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vars = [Expression('Set', Symbol(name), value) for name, value in kwargs.items()] | ||
evaluatable = Expression('ReleaseHold', Expression('Module', Expression('List', *vars), expr)) | ||
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result = evaluation.evaluate(evaluatable, timeout=settings.TIMEOUT) | ||
if result: | ||
display_data_callback(data=result.result, metadata={}) | ||
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evaluation.definitions.set_line_no(line_no) # do not increment line_no for manipulate computations | ||
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widgets = instantiator.get_widgets() | ||
if len(widgets) > 0: | ||
box = _interactive(instantiator.build_callback(callback), widgets) # create the widget | ||
formatter = IPythonDisplayFormatter() | ||
if not formatter(box): # make the widget appear on the Jupyter notebook | ||
return evaluation.message('Manipulate', 'widgetdisp') | ||
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return Symbol('Null') # the interactive output is pushed via kernel.display_data_callback (see above) |