import importlib

from matplotlib import path, transforms

from matplotlib.backend_bases import (

FigureCanvasBase, KeyEvent, LocationEvent, MouseButton, MouseEvent,

NavigationToolbar2, RendererBase)

from matplotlib.backend_tools import RubberbandBase

from matplotlib.figure import Figure

from matplotlib.testing._markers import needs_pgf_xelatex

import matplotlib.pyplot as plt

import numpy as np

import pytest

_EXPECTED_WARNING_TOOLMANAGER = (

r"Treat the new Tool classes introduced in "

r"v[0-9]*.[0-9]* as experimental for now; "

"the API and rcParam may change in future versions.")

def test_uses_per_path():

id = transforms.Affine2D()

paths = [path.Path.unit_regular_polygon(i) for i in range(3, 7)]

tforms_matrices = [id.rotate(i).get_matrix().copy() for i in range(1, 5)]

offsets = np.arange(20).reshape((10, 2))

facecolors = ['red', 'green']

edgecolors = ['red', 'green']

def check(master_transform, paths, all_transforms,

offsets, facecolors, edgecolors):

rb = RendererBase()

raw_paths = list(rb._iter_collection_raw_paths(

master_transform, paths, all_transforms))

gc = rb.new_gc()

ids = [path_id for xo, yo, path_id, gc0, rgbFace in

rb._iter_collection(

gc, range(len(raw_paths)), offsets,

transforms.AffineDeltaTransform(master_transform),

facecolors, edgecolors, [], [], [False],

[], 'screen')]

uses = rb._iter_collection_uses_per_path(

paths, all_transforms, offsets, facecolors, edgecolors)

if raw_paths:

seen = np.bincount(ids, minlength=len(raw_paths))

assert set(seen).issubset([uses - 1, uses])

check(id, paths, tforms_matrices, offsets, facecolors, edgecolors)

check(id, paths[0:1], tforms_matrices, offsets, facecolors, edgecolors)

check(id, [], tforms_matrices, offsets, facecolors, edgecolors)

check(id, paths, tforms_matrices[0:1], offsets, facecolors, edgecolors)

check(id, paths, [], offsets, facecolors, edgecolors)

for n in range(0, offsets.shape[0]):

check(id, paths, tforms_matrices, offsets[0:n, :],

facecolors, edgecolors)

check(id, paths, tforms_matrices, offsets, [], edgecolors)

check(id, paths, tforms_matrices, offsets, facecolors, [])

check(id, paths, tforms_matrices, offsets, [], [])

check(id, paths, tforms_matrices, offsets, facecolors[0:1], edgecolors)

def test_canvas_ctor():

assert isinstance(FigureCanvasBase().figure, Figure)

def test_get_default_filename():

fig = plt.figure()

assert fig.canvas.get_default_filename() == "Figure_1.png"

fig.canvas.manager.set_window_title("0:1/2<3")

assert fig.canvas.get_default_filename() == "0_1_2_3.png"

def test_canvas_change():

fig = plt.figure()

# Replaces fig.canvas

canvas = FigureCanvasBase(fig)

# Should still work.

plt.close(fig)

assert not plt.fignum_exists(fig.number)

@pytest.mark.backend('pdf')

def test_non_gui_warning(monkeypatch):

plt.subplots()

monkeypatch.setenv("DISPLAY", ":999")

with pytest.warns(UserWarning) as rec:

plt.show()

assert len(rec) == 1

assert ('FigureCanvasPdf is non-interactive, and thus cannot be shown'

in str(rec[0].message))

with pytest.warns(UserWarning) as rec:

plt.gcf().show()

assert len(rec) == 1

assert ('FigureCanvasPdf is non-interactive, and thus cannot be shown'

in str(rec[0].message))

def test_grab_clear():

fig, ax = plt.subplots()

fig.canvas.grab_mouse(ax)

assert fig.canvas.mouse_grabber == ax

fig.clear()

assert fig.canvas.mouse_grabber is None

@pytest.mark.parametrize(

"x, y", [(42, 24), (None, 42), (None, None), (200, 100.01), (205.75, 2.0)])

def test_location_event_position(x, y):

# LocationEvent should cast its x and y arguments to int unless it is None.

fig, ax = plt.subplots()

canvas = FigureCanvasBase(fig)

event = LocationEvent("test_event", canvas, x, y)

if x is None:

assert event.x is None

else:

assert event.x == int(x)

assert isinstance(event.x, int)

if y is None:

assert event.y is None

else:

assert event.y == int(y)

assert isinstance(event.y, int)

if x is not None and y is not None:

assert (ax.format_coord(x, y)

== f"(x, y) = ({ax.format_xdata(x)}, {ax.format_ydata(y)})")

ax.fmt_xdata = ax.fmt_ydata = lambda x: "foo"

assert ax.format_coord(x, y) == "(x, y) = (foo, foo)"

def test_location_event_position_twin():

fig, ax = plt.subplots()

ax.set(xlim=(0, 10), ylim=(0, 20))

assert ax.format_coord(5., 5.) == "(x, y) = (5.00, 5.00)"

ax.twinx().set(ylim=(0, 40))

assert ax.format_coord(5., 5.) == "(x, y) = (5.00, 5.00) | (5.00, 10.0)"

ax.twiny().set(xlim=(0, 5))

assert (ax.format_coord(5., 5.)

== "(x, y) = (5.00, 5.00) | (5.00, 10.0) | (2.50, 5.00)")

def test_pick():

fig = plt.figure()

fig.text(.5, .5, "hello", ha="center", va="center", picker=True)

fig.canvas.draw()

picks = []

def handle_pick(event):

assert event.mouseevent.key == "a"

picks.append(event)

fig.canvas.mpl_connect("pick_event", handle_pick)

KeyEvent("key_press_event", fig.canvas, "a")._process()

MouseEvent("button_press_event", fig.canvas,

*fig.transFigure.transform((.5, .5)),

MouseButton.LEFT)._process()

KeyEvent("key_release_event", fig.canvas, "a")._process()

assert len(picks) == 1

def test_interactive_zoom():

fig, ax = plt.subplots()

ax.set(xscale="logit")

assert ax.get_navigate_mode() is None

tb = NavigationToolbar2(fig.canvas)

tb.zoom()

assert ax.get_navigate_mode() == 'ZOOM'

xlim0 = ax.get_xlim()

ylim0 = ax.get_ylim()

# Zoom from x=1e-6, y=0.1 to x=1-1e-5, 0.8 (data coordinates, "d").

d0 = (1e-6, 0.1)

d1 = (1-1e-5, 0.8)

# Convert to screen coordinates ("s"). Events are defined only with pixel

# precision, so round the pixel values, and below, check against the

# corresponding xdata/ydata, which are close but not equal to d0/d1.

s0 = ax.transData.transform(d0).astype(int)

s1 = ax.transData.transform(d1).astype(int)

# Zoom in.

start_event = MouseEvent(

"button_press_event", fig.canvas, *s0, MouseButton.LEFT)

fig.canvas.callbacks.process(start_event.name, start_event)

stop_event = MouseEvent(

"button_release_event", fig.canvas, *s1, MouseButton.LEFT)

fig.canvas.callbacks.process(stop_event.name, stop_event)

assert ax.get_xlim() == (start_event.xdata, stop_event.xdata)

assert ax.get_ylim() == (start_event.ydata, stop_event.ydata)

# Zoom out.

start_event = MouseEvent(

"button_press_event", fig.canvas, *s1, MouseButton.RIGHT)

fig.canvas.callbacks.process(start_event.name, start_event)

stop_event = MouseEvent(

"button_release_event", fig.canvas, *s0, MouseButton.RIGHT)

fig.canvas.callbacks.process(stop_event.name, stop_event)

# Absolute tolerance much less than original xmin (1e-7).

assert ax.get_xlim() == pytest.approx(xlim0, rel=0, abs=1e-10)

assert ax.get_ylim() == pytest.approx(ylim0, rel=0, abs=1e-10)

tb.zoom()

assert ax.get_navigate_mode() is None

assert not ax.get_autoscalex_on() and not ax.get_autoscaley_on()

def test_widgetlock_zoompan():

fig, ax = plt.subplots()

ax.plot([0, 1], [0, 1])

fig.canvas.widgetlock(ax)

tb = NavigationToolbar2(fig.canvas)

tb.zoom()

assert ax.get_navigate_mode() is None

tb.pan()

assert ax.get_navigate_mode() is None

@pytest.mark.parametrize("plot_func", ["imshow", "contourf"])

@pytest.mark.parametrize("orientation", ["vertical", "horizontal"])

@pytest.mark.parametrize("tool,button,expected",

[("zoom", MouseButton.LEFT, (4, 6)), # zoom in

("zoom", MouseButton.RIGHT, (-20, 30)), # zoom out

("pan", MouseButton.LEFT, (-2, 8)),

("pan", MouseButton.RIGHT, (1.47, 7.78))]) # zoom

def test_interactive_colorbar(plot_func, orientation, tool, button, expected):

fig, ax = plt.subplots()

data = np.arange(12).reshape((4, 3))

vmin0, vmax0 = 0, 10

coll = getattr(ax, plot_func)(data, vmin=vmin0, vmax=vmax0)

cb = fig.colorbar(coll, ax=ax, orientation=orientation)

if plot_func == "contourf":

# Just determine we can't navigate and exit out of the test

assert not cb.ax.get_navigate()

return

assert cb.ax.get_navigate()

# Mouse from 4 to 6 (data coordinates, "d").

vmin, vmax = 4, 6

# The y coordinate doesn't matter, it just needs to be between 0 and 1

# However, we will set d0/d1 to the same y coordinate to test that small

# pixel changes in that coordinate doesn't cancel the zoom like a normal

# axes would.

d0 = (vmin, 0.5)

d1 = (vmax, 0.5)

# Swap them if the orientation is vertical

if orientation == "vertical":

d0 = d0[::-1]

d1 = d1[::-1]

# Convert to screen coordinates ("s"). Events are defined only with pixel

# precision, so round the pixel values, and below, check against the

# corresponding xdata/ydata, which are close but not equal to d0/d1.

s0 = cb.ax.transData.transform(d0).astype(int)

s1 = cb.ax.transData.transform(d1).astype(int)

# Set up the mouse movements

start_event = MouseEvent(

"button_press_event", fig.canvas, *s0, button)

stop_event = MouseEvent(

"button_release_event", fig.canvas, *s1, button)

tb = NavigationToolbar2(fig.canvas)

if tool == "zoom":

tb.zoom()

tb.press_zoom(start_event)

tb.drag_zoom(stop_event)

tb.release_zoom(stop_event)

else:

tb.pan()

tb.press_pan(start_event)

tb.drag_pan(stop_event)

tb.release_pan(stop_event)

# Should be close, but won't be exact due to screen integer resolution

assert (cb.vmin, cb.vmax) == pytest.approx(expected, abs=0.15)

def test_toolbar_zoompan():

with pytest.warns(UserWarning, match=_EXPECTED_WARNING_TOOLMANAGER):

plt.rcParams['toolbar'] = 'toolmanager'

ax = plt.gca()

fig = ax.get_figure()

assert ax.get_navigate_mode() is None

fig.canvas.manager.toolmanager.trigger_tool('zoom')

assert ax.get_navigate_mode() == "ZOOM"

fig.canvas.manager.toolmanager.trigger_tool('pan')

assert ax.get_navigate_mode() == "PAN"

def test_toolbar_home_restores_autoscale():

fig, ax = plt.subplots()

ax.plot(range(11), range(11))

tb = NavigationToolbar2(fig.canvas)

tb.zoom()

# Switch to log.

KeyEvent("key_press_event", fig.canvas, "k", 100, 100)._process()

KeyEvent("key_press_event", fig.canvas, "l", 100, 100)._process()

assert ax.get_xlim() == ax.get_ylim() == (1, 10) # Autolimits excluding 0.

# Switch back to linear.

KeyEvent("key_press_event", fig.canvas, "k", 100, 100)._process()

KeyEvent("key_press_event", fig.canvas, "l", 100, 100)._process()

assert ax.get_xlim() == ax.get_ylim() == (0, 10) # Autolimits.

# Zoom in from (x, y) = (2, 2) to (5, 5).

start, stop = ax.transData.transform([(2, 2), (5, 5)])

MouseEvent("button_press_event", fig.canvas, *start, MouseButton.LEFT)._process()

MouseEvent("button_release_event", fig.canvas, *stop, MouseButton.LEFT)._process()

# Go back to home.

KeyEvent("key_press_event", fig.canvas, "h")._process()

assert ax.get_xlim() == ax.get_ylim() == (0, 10)

# Switch to log.

KeyEvent("key_press_event", fig.canvas, "k", 100, 100)._process()

KeyEvent("key_press_event", fig.canvas, "l", 100, 100)._process()

assert ax.get_xlim() == ax.get_ylim() == (1, 10) # Autolimits excluding 0.

@pytest.mark.parametrize(

"backend", ['svg', 'ps', 'pdf',

pytest.param('pgf', marks=needs_pgf_xelatex)]

)

def test_draw(backend):

from matplotlib.figure import Figure

from matplotlib.backends.backend_agg import FigureCanvas

test_backend = importlib.import_module(f'matplotlib.backends.backend_{backend}')

TestCanvas = test_backend.FigureCanvas

fig_test = Figure(constrained_layout=True)

TestCanvas(fig_test)

axes_test = fig_test.subplots(2, 2)

# defaults to FigureCanvasBase

fig_agg = Figure(constrained_layout=True)

# put a backends.backend_agg.FigureCanvas on it

FigureCanvas(fig_agg)

axes_agg = fig_agg.subplots(2, 2)

init_pos = [ax.get_position() for ax in axes_test.ravel()]

fig_test.canvas.draw()

fig_agg.canvas.draw()

layed_out_pos_test = [ax.get_position() for ax in axes_test.ravel()]

layed_out_pos_agg = [ax.get_position() for ax in axes_agg.ravel()]

for init, placed in zip(init_pos, layed_out_pos_test):

assert not np.allclose(init, placed, atol=0.005)

for ref, test in zip(layed_out_pos_agg, layed_out_pos_test):

np.testing.assert_allclose(ref, test, atol=0.005)

@pytest.mark.parametrize(

"key,mouseend,expectedxlim,expectedylim",

[(None, (0.2, 0.2), (3.49, 12.49), (2.7, 11.7)),

(None, (0.2, 0.5), (3.49, 12.49), (0, 9)),

(None, (0.5, 0.2), (0, 9), (2.7, 11.7)),

(None, (0.5, 0.5), (0, 9), (0, 9)), # No move

(None, (0.8, 0.25), (-3.47, 5.53), (2.25, 11.25)),

(None, (0.2, 0.25), (3.49, 12.49), (2.25, 11.25)),

(None, (0.8, 0.85), (-3.47, 5.53), (-3.14, 5.86)),

(None, (0.2, 0.85), (3.49, 12.49), (-3.14, 5.86)),

("shift", (0.2, 0.4), (3.49, 12.49), (0, 9)), # snap to x

("shift", (0.4, 0.2), (0, 9), (2.7, 11.7)), # snap to y

("shift", (0.2, 0.25), (3.49, 12.49), (3.49, 12.49)), # snap to diagonal

("shift", (0.8, 0.25), (-3.47, 5.53), (3.47, 12.47)), # snap to diagonal

("shift", (0.8, 0.9), (-3.58, 5.41), (-3.58, 5.41)), # snap to diagonal

("shift", (0.2, 0.85), (3.49, 12.49), (-3.49, 5.51)), # snap to diagonal

("x", (0.2, 0.1), (3.49, 12.49), (0, 9)), # only x

("y", (0.1, 0.2), (0, 9), (2.7, 11.7)), # only y

("control", (0.2, 0.2), (3.49, 12.49), (3.49, 12.49)), # diagonal

("control", (0.4, 0.2), (2.72, 11.72), (2.72, 11.72)), # diagonal

])

def test_interactive_pan(key, mouseend, expectedxlim, expectedylim):

fig, ax = plt.subplots()

ax.plot(np.arange(10))

assert ax.get_navigate()

# Set equal aspect ratio to easier see diagonal snap

ax.set_aspect('equal')

# Mouse move starts from 0.5, 0.5

mousestart = (0.5, 0.5)

# Convert to screen coordinates ("s"). Events are defined only with pixel

# precision, so round the pixel values, and below, check against the

# corresponding xdata/ydata, which are close but not equal to d0/d1.

sstart = ax.transData.transform(mousestart).astype(int)

send = ax.transData.transform(mouseend).astype(int)

# Set up the mouse movements

start_event = MouseEvent(

"button_press_event", fig.canvas, *sstart, button=MouseButton.LEFT,

key=key)

stop_event = MouseEvent(

"button_release_event", fig.canvas, *send, button=MouseButton.LEFT,

key=key)

tb = NavigationToolbar2(fig.canvas)

tb.pan()

tb.press_pan(start_event)

tb.drag_pan(stop_event)

tb.release_pan(stop_event)

# Should be close, but won't be exact due to screen integer resolution

assert tuple(ax.get_xlim()) == pytest.approx(expectedxlim, abs=0.02)

assert tuple(ax.get_ylim()) == pytest.approx(expectedylim, abs=0.02)

def test_toolmanager_remove():

with pytest.warns(UserWarning, match=_EXPECTED_WARNING_TOOLMANAGER):

plt.rcParams['toolbar'] = 'toolmanager'

fig = plt.gcf()

initial_len = len(fig.canvas.manager.toolmanager.tools)

assert 'forward' in fig.canvas.manager.toolmanager.tools

fig.canvas.manager.toolmanager.remove_tool('forward')

assert len(fig.canvas.manager.toolmanager.tools) == initial_len - 1

assert 'forward' not in fig.canvas.manager.toolmanager.tools

def test_toolmanager_get_tool():

with pytest.warns(UserWarning, match=_EXPECTED_WARNING_TOOLMANAGER):

plt.rcParams['toolbar'] = 'toolmanager'

fig = plt.gcf()

rubberband = fig.canvas.manager.toolmanager.get_tool('rubberband')

assert isinstance(rubberband, RubberbandBase)

assert fig.canvas.manager.toolmanager.get_tool(rubberband) is rubberband

with pytest.warns(UserWarning,

match="ToolManager does not control tool 'foo'"):

assert fig.canvas.manager.toolmanager.get_tool('foo') is None

assert fig.canvas.manager.toolmanager.get_tool('foo', warn=False) is None

with pytest.warns(UserWarning,

match="ToolManager does not control tool 'foo'"):

assert fig.canvas.manager.toolmanager.trigger_tool('foo') is None

def test_toolmanager_update_keymap():

with pytest.warns(UserWarning, match=_EXPECTED_WARNING_TOOLMANAGER):

plt.rcParams['toolbar'] = 'toolmanager'

fig = plt.gcf()

assert 'v' in fig.canvas.manager.toolmanager.get_tool_keymap('forward')

with pytest.warns(UserWarning,

match="Key c changed from back to forward"):

fig.canvas.manager.toolmanager.update_keymap('forward', 'c')

assert fig.canvas.manager.toolmanager.get_tool_keymap('forward') == ['c']

with pytest.raises(KeyError, match="'foo' not in Tools"):

fig.canvas.manager.toolmanager.update_keymap('foo', 'c')

@pytest.mark.parametrize("tool", ["zoom", "pan"])

@pytest.mark.parametrize("button", [MouseButton.LEFT, MouseButton.RIGHT])

@pytest.mark.parametrize("patch_vis", [True, False])

@pytest.mark.parametrize("forward_nav", [True, False, "auto"])

@pytest.mark.parametrize("t_s", ["twin", "share"])

def test_interactive_pan_zoom_events(tool, button, patch_vis, forward_nav, t_s):

# Bottom axes: ax_b Top axes: ax_t

fig, ax_b = plt.subplots()

ax_t = fig.add_subplot(221, zorder=99)

ax_t.set_forward_navigation_events(forward_nav)

ax_t.patch.set_visible(patch_vis)

# ----------------------------

if t_s == "share":

ax_t_twin = fig.add_subplot(222)

ax_t_twin.sharex(ax_t)

ax_t_twin.sharey(ax_t)

ax_b_twin = fig.add_subplot(223)

ax_b_twin.sharex(ax_b)

ax_b_twin.sharey(ax_b)

elif t_s == "twin":

ax_t_twin = ax_t.twinx()

ax_b_twin = ax_b.twinx()

# just some styling to simplify manual checks

ax_t.set_label("ax_t")

ax_t.patch.set_facecolor((1, 0, 0, 0.5))

ax_t_twin.set_label("ax_t_twin")

ax_t_twin.patch.set_facecolor("r")

ax_b.set_label("ax_b")

ax_b.patch.set_facecolor((0, 0, 1, 0.5))

ax_b_twin.set_label("ax_b_twin")

ax_b_twin.patch.set_facecolor("b")

# ----------------------------

# Set initial axis limits

init_xlim, init_ylim = (0, 10), (0, 10)

for ax in [ax_t, ax_b]:

ax.set_xlim(*init_xlim)

ax.set_ylim(*init_ylim)

# Mouse from 2 to 1 (in data-coordinates of ax_t).

xstart_t, xstop_t, ystart_t, ystop_t = 1, 2, 1, 2

# Convert to screen coordinates ("s"). Events are defined only with pixel

# precision, so round the pixel values, and below, check against the

# corresponding xdata/ydata, which are close but not equal to s0/s1.

s0 = ax_t.transData.transform((xstart_t, ystart_t)).astype(int)

s1 = ax_t.transData.transform((xstop_t, ystop_t)).astype(int)

# Calculate the mouse-distance in data-coordinates of the bottom-axes

xstart_b, ystart_b = ax_b.transData.inverted().transform(s0)

xstop_b, ystop_b = ax_b.transData.inverted().transform(s1)

# Set up the mouse movements

start_event = MouseEvent("button_press_event", fig.canvas, *s0, button)

stop_event = MouseEvent("button_release_event", fig.canvas, *s1, button)

tb = NavigationToolbar2(fig.canvas)

if tool == "zoom":

# Evaluate expected limits before executing the zoom-event

direction = ("in" if button == 1 else "out")

xlim_t, ylim_t = ax_t._prepare_view_from_bbox([*s0, *s1], direction)

if ax_t.get_forward_navigation_events() is True:

xlim_b, ylim_b = ax_b._prepare_view_from_bbox([*s0, *s1], direction)

elif ax_t.get_forward_navigation_events() is False:

xlim_b = init_xlim

ylim_b = init_ylim

else:

if not ax_t.patch.get_visible():

xlim_b, ylim_b = ax_b._prepare_view_from_bbox([*s0, *s1], direction)

else:

xlim_b = init_xlim

ylim_b = init_ylim

tb.zoom()

tb.press_zoom(start_event)

tb.drag_zoom(stop_event)

tb.release_zoom(stop_event)

assert ax_t.get_xlim() == pytest.approx(xlim_t, abs=0.15)

assert ax_t.get_ylim() == pytest.approx(ylim_t, abs=0.15)

assert ax_b.get_xlim() == pytest.approx(xlim_b, abs=0.15)

assert ax_b.get_ylim() == pytest.approx(ylim_b, abs=0.15)

# Check if twin-axes are properly triggered

assert ax_t.get_xlim() == pytest.approx(ax_t_twin.get_xlim(), abs=0.15)

assert ax_b.get_xlim() == pytest.approx(ax_b_twin.get_xlim(), abs=0.15)

else:

# Evaluate expected limits

# (call start_pan to make sure ax._pan_start is set)

ax_t.start_pan(*s0, button)

xlim_t, ylim_t = ax_t._get_pan_points(button, None, *s1).T.astype(float)

ax_t.end_pan()

if ax_t.get_forward_navigation_events() is True:

ax_b.start_pan(*s0, button)

xlim_b, ylim_b = ax_b._get_pan_points(button, None, *s1).T.astype(float)

ax_b.end_pan()

elif ax_t.get_forward_navigation_events() is False:

xlim_b = init_xlim

ylim_b = init_ylim

else:

if not ax_t.patch.get_visible():

ax_b.start_pan(*s0, button)

xlim_b, ylim_b = ax_b._get_pan_points(button, None, *s1).T.astype(float)

ax_b.end_pan()

else:

xlim_b = init_xlim

ylim_b = init_ylim

tb.pan()

tb.press_pan(start_event)

tb.drag_pan(stop_event)

tb.release_pan(stop_event)

assert ax_t.get_xlim() == pytest.approx(xlim_t, abs=0.15)

assert ax_t.get_ylim() == pytest.approx(ylim_t, abs=0.15)

assert ax_b.get_xlim() == pytest.approx(xlim_b, abs=0.15)

assert ax_b.get_ylim() == pytest.approx(ylim_b, abs=0.15)

# Check if twin-axes are properly triggered

assert ax_t.get_xlim() == pytest.approx(ax_t_twin.get_xlim(), abs=0.15)

assert ax_b.get_xlim() == pytest.approx(ax_b_twin.get_xlim(), abs=0.15)