sage.plot: Update # needs, doctest cosmetics; fix sig_on_count doctest dataflow warnings

src/sage/categories/finite_complex_reflection_groups.py

@@ -555,22 +555,22 @@ def milnor_fiber_poset(self):
                 sage: sum(x**P.rank(elt) for elt in P)
                 18*x^2 + 15*x + 1
 
-                sage: W = ReflectionGroup(4)                     # optional - gap3
-                sage: P = W.milnor_fiber_poset()                 # optional - gap3
-                sage: P                                          # optional - gap3
+                sage: # optional - gap3
+                sage: W = ReflectionGroup(4)
+                sage: P = W.milnor_fiber_poset(); P
                 Finite meet-semilattice containing 41 elements
-                sage: sum(x**P.rank(elt) for elt in P)           # optional - gap3
+                sage: sum(x**P.rank(elt) for elt in P)
                 24*x^2 + 16*x + 1
 
-                sage: W = ReflectionGroup([4,2,2])               # optional - gap3
-                sage: W.is_well_generated()                      # optional - gap3
+                sage: # optional - gap3
+                sage: W = ReflectionGroup([4,2,2])
+                sage: W.is_well_generated()
                 False
-                sage: P = W.milnor_fiber_poset()                 # optional - gap3
-                sage: P                                          # optional - gap3
+                sage: P = W.milnor_fiber_poset(); P
                 Finite poset containing 47 elements
-                sage: sum(x**P.rank(elt) for elt in P)           # optional - gap3
+                sage: sum(x**P.rank(elt) for elt in P)
                 16*x^3 + 24*x^2 + 6*x + 1
-                sage: P.is_meet_semilattice()                    # optional - gap3
+                sage: P.is_meet_semilattice()
                 False
             """
             I = self.index_set()

src/sage/coding/ag_code_decoders.pyx

@@ -29,17 +29,18 @@ EXAMPLES::
 The ``decoder`` is now ready for correcting vectors received from a noisy
 channel::
 
-    sage: channel = channels.StaticErrorRateChannel(code.ambient_space(), tau)  # long time
-    sage: message_space = decoder.message_space()                   # long time
-    sage: message = message_space.random_element()                  # long time
-    sage: encoder = decoder.connected_encoder()                     # long time
-    sage: sent_codeword = encoder.encode(message)                   # long time
-    sage: received_vector = channel(sent_codeword)                  # long time
-    sage: (received_vector - sent_codeword).hamming_weight()        # long time
+    sage: # long time
+    sage: channel = channels.StaticErrorRateChannel(code.ambient_space(), tau)
+    sage: message_space = decoder.message_space()
+    sage: message = message_space.random_element()
+    sage: encoder = decoder.connected_encoder()
+    sage: sent_codeword = encoder.encode(message)
+    sage: received_vector = channel(sent_codeword)
+    sage: (received_vector - sent_codeword).hamming_weight()
     4
-    sage: decoder.decode_to_code(received_vector) == sent_codeword  # long time
+    sage: decoder.decode_to_code(received_vector) == sent_codeword
     True
-    sage: decoder.decode_to_message(received_vector) == message     # long time
+    sage: decoder.decode_to_message(received_vector) == message
     True
 
 AUTHORS:

src/sage/doctest/sources.py

@@ -238,7 +238,7 @@ def _process_doc(self, doctests, doc, namespace, start):
                 # Line number refers to the end of the docstring
                 sigon = doctest.Example(sig_on_count_doc_doctest, "0\n", lineno=docstring.count("\n"))
                 sigon.sage_source = sig_on_count_doc_doctest
-                sigon.optional_tags = frozenset()
+                sigon.optional_tags = frozenset(self.file_optional_tags)
                 sigon.probed_tags = frozenset()
                 dt.examples.append(sigon)
             doctests.append(dt)

src/sage/libs/ntl/ntl_ZZ_pEX_linkage.pxi

@@ -332,7 +332,7 @@ cdef inline int celement_pow(ZZ_pEX_c* res, ZZ_pEX_c* x, long e, ZZ_pEX_c *modul
         sage: (x+1)^(-2)
         1/(x^2 + 2*x + 1)
         sage: f = x+(a+1)
-        sage: f**50 == sum(binomial(50,i)*(a+1)**i*x**(50-i) for i in range(51))
+        sage: f**50 == sum(binomial(50,i)*(a+1)**i*x**(50-i) for i in range(51))        # needs sage.symbolic
         True
 
     TESTS:

src/sage/misc/converting_dict.py

@@ -26,7 +26,7 @@
 This is used e.g. in the result of a variety, to allow access to the
 result no matter how a generator is identified::
 
-    sage: # needs sage.rings.number_field
+    sage: # needs sage.libs.singular sage.rings.number_field
     sage: K.<x,y> = QQ[]
     sage: I = ideal([x^2 + 2*y - 5, x + y + 3])
     sage: V = sorted(I.variety(AA), key=str)

src/sage/misc/replace_dot_all.py

@@ -298,7 +298,7 @@ def process_line(location, line, replacements, row_index, verbose=False):
         sage: from sage.misc.replace_dot_all import *
         sage: location = os.path.join(sage.env.SAGE_SRC, 'sage/plot/arc.py')
         sage: replacements = find_replacements(location, package_regex='sage[.]plot[.]all', verbose=True); replacements
-        [[476, 24, 'from sage.plot.graphics import Graphics']]
+        [[477, 24, 'from sage.plot.graphics import Graphics']]
         sage: with open(location, "r") as file:
         ....:     lines = file.readlines()
         sage: row_index, col_number, *_ = replacements[0]

src/sage/misc/table.py

@@ -293,7 +293,7 @@ def __eq__(self, other):
 
         EXAMPLES::
 
-            sage: # needs sage.modules sage.plot
+            sage: # needs sage.modules sage.plot sage.symbolic
             sage: rows = [['a', 'b', 'c'], [1,plot(sin(x)),3], [4,5,identity_matrix(2)]]
             sage: T = table(rows, header_row=True)
             sage: T2 = table(rows, header_row=True)

src/sage/plot/animate.py

@@ -453,7 +453,8 @@ def make_image(self, frame, filename, **kwds):
             ....:                         floor(G.ymin()), ceil(G.ymax()))
             ....:        G.save_image(filename, **kwds)
 
-            sage: B = MyAnimation([graphs.CompleteGraph(n) for n in range(7,11)], figsize=5)
+            sage: B = MyAnimation([graphs.CompleteGraph(n)
+            ....:                  for n in range(7,11)], figsize=5)
             sage: d = B.png()
             sage: v = os.listdir(d); v.sort(); v
             ['00000000.png', '00000001.png', '00000002.png', '00000003.png']

src/sage/plot/arc.py

@@ -56,6 +56,7 @@ def __init__(self, x, y, r1, r2, angle, s1, s2, options):
 
         EXAMPLES::
 
+            sage: # needs sage.symbolic
             sage: A = arc((2,3),1,1,pi/4,(0,pi))
             sage: A[0].x == 2
             True

src/sage/plot/colors.py

@@ -215,7 +215,7 @@ def mod_one(x):
         0.0
         sage: mod_one(-11/7)
         0.4285714285714286
-        sage: mod_one(pi) + mod_one(-pi)
+        sage: mod_one(pi) + mod_one(-pi)                                                # needs sage.symbolic
         1.0
     """
     x = float(x)
@@ -1146,9 +1146,10 @@ def hue(h, s=1, v=1):
     This function makes it easy to sample a broad range of colors for
     graphics::
 
+        sage: # needs sage.symbolic
         sage: p = Graphics()
         sage: for phi in xsrange(0, 2 * pi, 1 / pi):
-        ....:     p += plot(sin(x + phi), (x, -7, 7), rgbcolor = hue(phi))
+        ....:     p += plot(sin(x + phi), (x, -7, 7), rgbcolor=hue(phi))
         sage: p
         Graphics object consisting of 20 graphics primitives
 

src/sage/plot/ellipse.py

@@ -220,7 +220,7 @@ def plot3d(self):
         TESTS::
 
             sage: from sage.plot.ellipse import Ellipse
-            sage: Ellipse(0,0,2,1,pi/4,{}).plot3d()
+            sage: Ellipse(0,0,2,1,pi/4,{}).plot3d()                                     # needs sage.symbolic
             Traceback (most recent call last):
             ...
             NotImplementedError

src/sage/plot/graphics.py

@@ -64,7 +64,7 @@ def is_Graphics(x):
         sage: from sage.plot.graphics import is_Graphics
         sage: is_Graphics(1)
         False
-        sage: is_Graphics(disk((0.0, 0.0), 1, (0, pi/2)))
+        sage: is_Graphics(disk((0.0, 0.0), 1, (0, pi/2)))                               # needs sage.symbolic
         True
     """
     return isinstance(x, Graphics)
@@ -1359,6 +1359,7 @@ def _set_scale(self, subplot, scale=None, base=None):
 
         EXAMPLES::
 
+            sage: # needs sage.symbolic
             sage: p = plot(x, 1, 10)
             sage: fig = p.matplotlib()
             sage: ax = fig.get_axes()[0]
@@ -1373,6 +1374,7 @@ def _set_scale(self, subplot, scale=None, base=None):
 
         TESTS::
 
+            sage: # needs sage.symbolic
             sage: p._set_scale(ax, 'log')
             Traceback (most recent call last):
             ...
@@ -1797,7 +1799,7 @@ def show(self, **kwds):
 
         ::
 
-            sage: G.show(scale='semilogy', base=(3,2)) # base ignored for x-axis        # needs sage.symbolic
+            sage: G.show(scale='semilogy', base=(3,2))  # base ignored for x-axis       # needs sage.symbolic
 
         The scale can be also given as a 2-tuple or a 3-tuple.::
 
@@ -1816,7 +1818,7 @@ def show(self, **kwds):
         some examples.::
 
             sage: G = list_plot([10**i for i in range(10)])                         # long time, needs sage.symbolic
-            sage: G.show(scale='semilogy')                                          # long time
+            sage: G.show(scale='semilogy')                                          # long time, needs sage.symbolic
 
         ::
 

src/sage/plot/histogram.py

@@ -274,8 +274,8 @@ def histogram(datalist, **options):
 
         sage: nv = normalvariate
         sage: H = histogram([nv(0, 1) for _ in range(1000)], bins=20, density=True, range=[-5, 5])
-        sage: P = plot(1/sqrt(2*pi)*e^(-x^2/2), (x, -5, 5), color='red', linestyle='--')
-        sage: H+P
+        sage: P = plot(1/sqrt(2*pi)*e^(-x^2/2), (x, -5, 5), color='red', linestyle='--')            # needs sage.symbolic
+        sage: H + P                                                                     # needs sage.symbolic
         Graphics object consisting of 2 graphics primitives
 
     .. PLOT::

src/sage/plot/line.py

@@ -559,6 +559,7 @@ def line2d(points, **options):
 
     A purple plot of the Riemann zeta function `\zeta(1/2 + it)`, `0 < t < 30`::
 
+        sage: # needs sage.libs.pari sage.rings.complex_double
         sage: i = CDF.gen()
         sage: v = [zeta(0.5 + n/10 * i) for n in range(300)]
         sage: L = [(z.real(), z.imag()) for z in v]
@@ -590,6 +591,7 @@ def line2d(points, **options):
 
     A red, blue, and green "cool cat"::
 
+        sage: # needs sage.symbolic
         sage: G = plot(-cos(x), -2, 2, thickness=5, rgbcolor=(0.5,1,0.5))
         sage: P = polygon([[1,2], [5,6], [5,0]], rgbcolor=(1,0,0))
         sage: Q = polygon([(-x,y) for x,y in P[0]], rgbcolor=(0,0,1))

src/sage/plot/matrix_plot.py

@@ -535,7 +535,7 @@ def matrix_plot(mat, xrange=None, yrange=None, **options):
 
     ::
 
-        sage: matrix_plot([[sin(x), cos(x)], [1, 0]])
+        sage: matrix_plot([[sin(x), cos(x)], [1, 0]])                                   # needs sage.symbolic
         Traceback (most recent call last):
         ...
         TypeError: mat must be a Matrix or a two dimensional array