sage.tests: Update # needs

src/sage/doctest/fixtures.py

@@ -80,9 +80,9 @@ def reproducible_repr(val):
         frozenset(['a', 'b', 'c', 'd'])
         sage: print(reproducible_repr([1, frozenset("cab"), set("bar"), 0]))
         [1, frozenset(['a', 'b', 'c']), set(['a', 'b', 'r']), 0]
-        sage: print(reproducible_repr({3.0:"three","2":"two",1:"one"}))
+        sage: print(reproducible_repr({3.0: "three", "2": "two", 1: "one"}))            # optional - sage.rings.real_mpfr
         {'2': 'two', 1: 'one', 3.00000000000000: 'three'}
-        sage: print(reproducible_repr("foo\nbar")) # demonstrate default case
+        sage: print(reproducible_repr("foo\nbar"))  # demonstrate default case
         'foo\nbar'
     """
 

src/sage/ext/fast_callable.pyx

@@ -1645,7 +1645,7 @@ class IntegerPowerFunction():
         pi^2
         sage: square(I)                                                                 # needs sage.symbolic
         -1
-        sage: square(RIF(-1, 1)).str(style='brackets')
+        sage: square(RIF(-1, 1)).str(style='brackets')                                  # needs sage.rings.real_interval_field
         '[0.0000000000000000 .. 1.0000000000000000]'
         sage: IntegerPowerFunction(-1)
         (^(-1))

src/sage/libs/coxeter3/__init__.py

@@ -0,0 +1 @@
+# sage_setup: distribution = sagemath-coxeter3

src/sage/libs/coxeter3/all__sagemath_coxeter3.py

@@ -0,0 +1 @@
+# sage_setup: distribution = sagemath-coxeter3

src/sage/structure/coerce.pyx

@@ -517,6 +517,8 @@ cdef class CoercionModel:
     Check that :trac:`8426` is fixed (see also :trac:`18076`)::
 
         sage: import numpy                                                              # needs numpy
+
+        sage: # needs sage.rings.real_mpfr
         sage: x = polygen(RR)
         sage: numpy.float32('1.5') * x                                                  # needs numpy
         1.50000000000000*x

src/sage/structure/factorization.py

@@ -1232,9 +1232,10 @@ def __call__(self, *args, **kwds):
             sage: F(t=0)
             0
 
-            sage: R.<x> = LaurentPolynomialRing(QQ, 1)                                  # needs sage.modules
-            sage: F = ((x+2)/x**3).factor()                                             # needs sage.modules
-            sage: F(x=4)                                                                # needs sage.modules
+            sage: # needs sage.libs.pari sage.modules
+            sage: R.<x> = LaurentPolynomialRing(QQ, 1)
+            sage: F = ((x+2)/x**3).factor()
+            sage: F(x=4)
             1/64 * 6
         """
         unit = self.__unit.subs(*args, **kwds)

src/sage/structure/parent_old.pyx

@@ -52,7 +52,7 @@ cdef class Parent(parent.Parent):
         [(0, 0), (1, 0), (0, 1), (1, 1)]
         sage: MatrixSpace(GF(3), 1, 1).list()
         [[0], [1], [2]]
-        sage: DirichletGroup(3).list()                                                  # needs sage.modular
+        sage: DirichletGroup(3).list()                                                  # needs sage.libs.pari sage.modular
         [Dirichlet character modulo 3 of conductor 1 mapping 2 |--> 1,
          Dirichlet character modulo 3 of conductor 3 mapping 2 |--> -1]
 

src/sage/symbolic/function.pyx

@@ -642,10 +642,11 @@ cdef class Function(SageObject):
             sage: hurwitz_zeta(1/2, b)
             hurwitz_zeta(1/2, [1.500000000 +/- 1.01e-10])
 
-            sage: iv = RIF(1, 1.0001)
-            sage: airy_ai(iv)
+            sage: iv = RIF(1, 1.0001)                                                   # needs sage.rings.real_interval_field
+
+            sage: airy_ai(iv)                                                           # needs sage.rings.real_interval_field
             airy_ai(1.0001?)
-            sage: airy_ai(CIF(iv))
+            sage: airy_ai(CIF(iv))                                                      # needs sage.rings.complex_interval_field
             airy_ai(1.0001?)
         """
         if isinstance(x, (float, complex)):

src/sage/tests/article_heuberger_krenn_kropf_fsm-in-sage.py

@@ -1,3 +1,4 @@
+# sage.doctest: needs sage.graphs sage.modules
 r"""
 This file contains doctests of the article ::
 
@@ -505,11 +506,11 @@
 
 Sage example in fsm-in-sage.tex, line 1091::
 
-    sage: var('y')
+    sage: var('y')                                                                      # needs sage.symbolic
     y
     sage: def am_entry(trans):
     ....:     return y^add(trans.word_out) / 2
-    sage: A = W.adjacency_matrix(entry=am_entry)
+    sage: A = W.adjacency_matrix(entry=am_entry)                                        # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1097::
@@ -519,7 +520,7 @@
 
 Sage example in fsm-in-sage.tex, line 1099::
 
-    sage: latex(A)
+    sage: latex(A)                                                                      # needs sage.symbolic
     \left(\begin{array}{ccccccccc}
     \frac{1}{2} & \frac{1}{2} \, y^{2} & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
     0 & 0 & \frac{1}{2} & \frac{1}{2} & 0 & 0 & 0 & 0 & 0 \\
@@ -535,95 +536,95 @@
 
 Sage example in fsm-in-sage.tex, line 1109::
 
-    sage: (pi_not_normalized,) = (A.subs(y=1) - A.parent().identity_matrix())\
-    ....:                            .left_kernel().basis()
-    sage: pi = pi_not_normalized / pi_not_normalized.norm(p=1)
+    sage: A1mI = (A.subs(y=1) - A.parent().identity_matrix())                           # needs sage.symbolic
+    sage: (pi_not_normalized,) = A1mI.left_kernel().basis()                             # needs sage.symbolic
+    sage: pi = pi_not_normalized / pi_not_normalized.norm(p=1)                          # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1110::
 
-    sage: str(pi)
+    sage: str(pi)                                                                       # needs sage.symbolic
     '(1/9, 1/9, 1/9, 1/9, 1/9, 1/9, 1/9, 1/9, 1/9)'
 
 
 Sage example in fsm-in-sage.tex, line 1117::
 
-    sage: expected_output = derivative(A, y).subs(y=1) * vector(len(W.states())*[1])
+    sage: expected_output = derivative(A, y).subs(y=1) * vector(len(W.states())*[1])    # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1118::
 
-    sage: latex(expected_output)
+    sage: latex(expected_output)                                                        # needs sage.symbolic
     \left(1,\,0,\,0,\,0,\,\frac{1}{2},\,1,\,1,\,\frac{1}{2},\,1\right)
 
 
 Sage example in fsm-in-sage.tex, line 1126::
 
-    sage: pi * expected_output
+    sage: pi * expected_output                                                          # needs sage.symbolic
     5/9
 
 
 Sage example in fsm-in-sage.tex, line 1127::
 
-    sage: latex(pi * expected_output)
+    sage: latex(pi * expected_output)                                                   # needs sage.symbolic
     \frac{5}{9}
 
 
 Sage example in fsm-in-sage.tex, line 1129::
 
-    sage: latex(pi * expected_output)
+    sage: latex(pi * expected_output)                                                   # needs sage.symbolic
     \frac{5}{9}
 
 
 Sage example in fsm-in-sage.tex, line 1145::
 
-    sage: var('k')
+    sage: var('k')                                                                      # needs sage.symbolic
     k
-    sage: moments = W.asymptotic_moments(k)
+    sage: moments = W.asymptotic_moments(k)                                             # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1155::
 
-    sage: latex(moments['expectation'])
+    sage: latex(moments['expectation'])                                                 # needs sage.symbolic
     \frac{5}{9} \, k + \mathcal{O}\left(1\right)
 
 
 Sage example in fsm-in-sage.tex, line 1162::
 
-    sage: latex(moments['variance'])
+    sage: latex(moments['variance'])                                                    # needs sage.symbolic
     \frac{44}{243} \, k + \mathcal{O}\left(1\right)
 
 
 Sage example in fsm-in-sage.tex, line 1192::
 
-    sage: expectation_binary = Id.asymptotic_moments(k)['expectation']
+    sage: expectation_binary = Id.asymptotic_moments(k)['expectation']                  # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1195::
 
-    sage: latex(expectation_binary)
+    sage: latex(expectation_binary)                                                     # needs sage.symbolic
     \frac{1}{2} \, k + \mathcal{O}\left(1\right)
 
 
 Sage example in fsm-in-sage.tex, line 1202::
 
-    sage: expectation_NAF = Weight(NAF).asymptotic_moments(k)['expectation']
+    sage: expectation_NAF = Weight(NAF).asymptotic_moments(k)['expectation']            # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1205::
 
-    sage: latex(expectation_NAF)
+    sage: latex(expectation_NAF)                                                        # needs sage.symbolic
     \frac{1}{3} \, k + \mathcal{O}\left(1\right)
 
 
 Sage example in fsm-in-sage.tex, line 1211::
 
-    sage: Abs = transducers.abs([-1, 0, 1])
+    sage: Abs = transducers.abs([-1, 0, 1])                                             # needs sage.symbolic
 
 
 Sage example in fsm-in-sage.tex, line 1216::
 
-    sage: latex(moments['expectation'])
+    sage: latex(moments['expectation'])                                                 # needs sage.symbolic
     \frac{5}{9} \, k + \mathcal{O}\left(1\right)
 
 """

src/sage/tests/arxiv_0812_2725.py

@@ -1,3 +1,4 @@
+# sage.doctest: needs sage.combinat
 r"""
 Sage code for computing k-distant crossing numbers.
 

src/sage/tests/benchmark.py

@@ -1,3 +1,4 @@
+# sage.doctest: needs sage.symbolic
 """
 Benchmarks
 

src/sage/tests/book_schilling_zabrocki_kschur_primer.py

@@ -1,3 +1,4 @@
+# sage.doctest: needs sage.combinat sage.graphs sage.groups
 r"""
 This file contains doctests for the Chapter "k-Schur function primer"
 for the book "k-Schur functions and affine Schubert calculus"
@@ -83,16 +84,17 @@
 
 Sage example in ./kschurnotes/notes-mike-anne.tex, line 406::
 
-    sage: w = W.an_element(); w         # long time
+    sage: # long time
+    sage: w = W.an_element(); w
     [ 2  0  0  1 -2]
     [ 2  0  0  0 -1]
     [ 1  1  0  0 -1]
     [ 1  0  1  0 -1]
     [ 1  0  0  1 -1]
-    sage: w.reduced_word()              # long time
+    sage: w.reduced_word()
     [0, 1, 2, 3, 4]
-    sage: w = W.from_reduced_word([2,1,0]) # long time
-    sage: w.is_affine_grassmannian()       # long time
+    sage: w = W.from_reduced_word([2,1,0])
+    sage: w.is_affine_grassmannian()
     True
 
 Sage example in ./kschurnotes/notes-mike-anne.tex, line 464::
@@ -576,8 +578,8 @@
 
 Sage example in ./kschurnotes/notes-mike-anne.tex, line 4055::
 
-    sage: t = var('t')
-    sage: for mu in Partitions(5):
+    sage: t = var('t')                                                                  # needs sage.symbolic
+    sage: for mu in Partitions(5):                                                      # needs sage.symbolic
     ....:     print("{} {}".format(mu, sum(t^T.spin() for T in StrongTableaux(3,[4,1,1],mu))))
     [5] 0
     [4, 1] t

src/sage/tests/book_stein_ent.py

@@ -1,3 +1,4 @@
+# sage.doctest: needs sage.libs.pari
 """
 This file contains all the example code from the published book
 'Elementary Number Theory: Primes, Congruences, and Secrets' by
@@ -32,7 +33,7 @@
 sage: n.is_prime()              # this is instant
 False
 sage: p = 2^32582657 - 1
-sage: p.ndigits()
+sage: p.ndigits()                                                                       # needs sage.rings.real_interval_field
 9808358
 sage: s = p.str(10) # this takes a long time
 sage: len(s)        # s is a very long string  (long time)
@@ -41,18 +42,23 @@
 '12457502601536945540'
 sage: s[-20:]       # the last 20 digits       (long time)
 '11752880154053967871'
+
+sage: # needs sage.symbolic
 sage: prime_pi(6)
 3
 sage: prime_pi(100)
 25
 sage: prime_pi(3000000)
 216816
+
+sage: # needs sage.plot sage.symbolic
 sage: plot(prime_pi, 1,1000, rgbcolor=(0,0,1))
 Graphics object consisting of 1 graphics primitive
 sage: P = plot(Li, 2,10000, rgbcolor='purple')
 sage: Q = plot(prime_pi, 2,10000, rgbcolor='black')
-sage: R = plot(sqrt(x)*log(x),2,10000,rgbcolor='red')
-sage: show(P+Q+R,xmin=0, figsize=[8,3])
+sage: R = plot(sqrt(x)*log(x), 2,10000, rgbcolor='red')
+sage: show(P + Q + R, xmin=0, figsize=[8,3])
+
 sage: R = Integers(3)
 sage: list(R)
 [0, 1, 2]
@@ -157,15 +163,15 @@
 1.09861228866811
 sage: log(19683.0) / log(3.0)
 9.00000000000000
-sage: plot(log, 0.1,10, rgbcolor=(0,0,1))
+sage: plot(log, 0.1, 10, rgbcolor=(0,0,1))                                              # needs sage.plot
 Graphics object consisting of 1 graphics primitive
 sage: p = 53
 sage: R = Integers(p)
 sage: a = R.multiplicative_generator()
 sage: v = sorted([(a^n, n) for n in range(p-1)])
-sage: G = plot(point(v,pointsize=50,rgbcolor=(0,0,1)))
-sage: H = plot(line(v,rgbcolor=(0.5,0.5,0.5)))
-sage: G + H
+sage: G = plot(point(v,pointsize=50,rgbcolor=(0,0,1)))                                  # needs sage.plot
+sage: H = plot(line(v,rgbcolor=(0.5,0.5,0.5)))                                          # needs sage.plot
+sage: G + H                                                                             # needs sage.plot
 Graphics object consisting of 2 graphics primitives
 sage: q = 93450983094850938450983409623
 sage: q.is_prime()
@@ -421,11 +427,14 @@
 [1, 2, 7, 30, 157]
 sage: c = continued_fraction([1,1,1,1,1,1,1,1])
 sage: v = [(i, c.p(i)/c.q(i)) for i in range(len(c))]
+
+sage: # needs sage.plot
 sage: P = point(v, rgbcolor=(0,0,1), pointsize=40)
 sage: L = line(v, rgbcolor=(0.5,0.5,0.5))
-sage: L2 = line([(0,c.value()),(len(c)-1,c.value())], \
-....:    thickness=0.5, rgbcolor=(0.7,0,0))
-sage: (L+L2+P).show(xmin=0,ymin=1)
+sage: L2 = line([(0,c.value()), (len(c)-1,c.value())],
+....:           thickness=0.5, rgbcolor=(0.7,0,0))
+sage: (L + L2 + P).show(xmin=0, ymin=1)
+
 sage: def cf(bits):
 ....:     x = (1 + sqrt(RealField(bits)(5))) / 2
 ....:     return continued_fraction(x)
@@ -497,13 +506,13 @@
 sage: E
 Elliptic Curve defined by y^2  = x^3 - 5*x + 4
 over Rational Field
-sage: P = E.plot(thickness=4,rgbcolor=(0.1,0.7,0.1))
-sage: P.show(figsize=[4,6])
+sage: P = E.plot(thickness=4,rgbcolor=(0.1,0.7,0.1))                                    # needs sage.plot
+sage: P.show(figsize=[4,6])                                                             # needs sage.plot
 sage: E = EllipticCurve(GF(37), [1,0])
 sage: E
 Elliptic Curve defined by y^2  = x^3 + x over
 Finite Field of size 37
-sage: E.plot(pointsize=45)
+sage: E.plot(pointsize=45)                                                              # needs sage.plot
 Graphics object consisting of 1 graphics primitive
 sage: E = EllipticCurve([-5,4])
 sage: P = E([1,0]); Q = E([0,2])

src/sage/tests/book_stein_modform.py

@@ -1,9 +1,12 @@
+# sage_setup: distribution = sagemath-repl
+# sage.doctest: needs sage.libs.flint sage.modular
 """
 This file contains a bunch of tests extracted from the published book
 'Modular Forms: a Computational Approach' by William Stein, AMS 2007.
 
 TESTS::
 
+    sage: # needs sage.libs.gap
     sage: G = SL(2,ZZ); G
     Special Linear Group of degree 2 over Integer Ring
     sage: S, T = G.gens()
@@ -13,6 +16,7 @@
     sage: T
     [1 1]
     [0 1]
+
     sage: delta_qexp(6)
     q - 24*q^2 + 252*q^3 - 1472*q^4 + 4830*q^5 + O(q^6)
     sage: bernoulli(12)