From 2ee7b99e0270f80cf03b80418372f45274f46051 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Samuel=20Leli=C3=A8vre?= <samuel.lelievre@gmail.com>
Date: Sat, 20 Nov 2021 13:34:16 +0100
Subject: 32905: abs tol for some CBF and RBF doctests

---
 src/sage/functions/gamma.py    |  2 +-
 src/sage/rings/complex_arb.pyx |  6 +++---
 src/sage/rings/real_arb.pyx    | 24 ++++++++++++------------
 src/sage/symbolic/function.pyx |  2 +-
 4 files changed, 17 insertions(+), 17 deletions(-)

diff --git a/src/sage/functions/gamma.py b/src/sage/functions/gamma.py
index 3a4deef..307deb1 100644
--- a/src/sage/functions/gamma.py
+++ b/src/sage/functions/gamma.py
@@ -1049,7 +1049,7 @@ class Function_beta(GinacFunction):
         r"""
         TESTS::
 
-            sage: RBF(beta(sin(3),sqrt(RBF(2).add_error(1e-8)/3)))
+            sage: RBF(beta(sin(3),sqrt(RBF(2).add_error(1e-8)/3)))  # abs tol 6e-7
             [7.407662 +/- 6.17e-7]
         """
         return [x, y]
diff --git a/src/sage/rings/complex_arb.pyx b/src/sage/rings/complex_arb.pyx
index ce9b1b1..7e10ec9 100644
--- a/src/sage/rings/complex_arb.pyx
+++ b/src/sage/rings/complex_arb.pyx
@@ -4189,7 +4189,7 @@ cdef class ComplexBall(RingElement):
 
         TESTS:
 
-            sage: CBF(Ei(I))
+            sage: CBF(Ei(I))  # abs tol 1e-16
             [0.337403922900968 +/- 3.76e-16] + [2.51687939716208 +/- 2.01e-15]*I
         """
         cdef ComplexBall result = self._new()
@@ -4239,7 +4239,7 @@ cdef class ComplexBall(RingElement):
 
         TESTS:
 
-            sage: CBF(Ci(I))
+            sage: CBF(Ci(I))  # abs tol 1e-17
             [0.837866940980208 +/- 4.72e-16] + [1.570796326794897 +/- 5.54e-16]*I
         """
         cdef ComplexBall result = self._new()
@@ -4291,7 +4291,7 @@ cdef class ComplexBall(RingElement):
 
         TESTS:
 
-            sage: CBF(Chi(I))
+            sage: CBF(Chi(I))  # abs tol 1e-16
             [0.337403922900968 +/- 3.25e-16] + [1.570796326794897 +/- 5.54e-16]*I
         """
         cdef ComplexBall result = self._new()
diff --git a/src/sage/rings/real_arb.pyx b/src/sage/rings/real_arb.pyx
index 80a840e..49caa63 100644
--- a/src/sage/rings/real_arb.pyx
+++ b/src/sage/rings/real_arb.pyx
@@ -3489,12 +3489,12 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(1).Ei()
+            sage: RBF(1).Ei()  # abs tol 5e-16
             [1.89511781635594 +/- 4.94e-15]
 
         TESTS::
 
-            sage: RBF(Ei(1))
+            sage: RBF(Ei(1))  # abs tol 5e-16
             [1.89511781635594 +/- 4.94e-15]
         """
         cdef RealBall res = self._new()
@@ -3531,12 +3531,12 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(1).Ci()
+            sage: RBF(1).Ci()  # abs tol 1e-16
             [0.337403922900968 +/- 3.25e-16]
 
         TESTS::
 
-            sage: RBF(Ci(1))
+            sage: RBF(Ci(1))  # abs tol 1e-16
             [0.337403922900968 +/- 3.25e-16]
         """
         cdef RealBall res = self._new()
@@ -3575,12 +3575,12 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(1).Chi()
+            sage: RBF(1).Chi()  # abs tol 1e-17
             [0.837866940980208 +/- 4.72e-16]
 
         TESTS::
 
-            sage: RBF(Chi(1))
+            sage: RBF(Chi(1))  # abs tol 1e-17
             [0.837866940980208 +/- 4.72e-16]
         """
         cdef RealBall res = self._new()
@@ -3597,7 +3597,7 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(3).li()
+            sage: RBF(3).li()  # abs tol 1e-15
             [2.16358859466719 +/- 4.72e-15]
 
         TESTS::
@@ -3621,7 +3621,7 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(3).Li()
+            sage: RBF(3).Li()  # abs tol 1e-15
             [1.11842481454970 +/- 7.61e-15]
         """
         cdef RealBall res = self._new()
@@ -3648,9 +3648,9 @@ cdef class RealBall(RingElement):
 
         EXAMPLES::
 
-            sage: RBF(sin(3)).beta(RBF(2/3).sqrt())
+            sage: RBF(sin(3)).beta(RBF(2/3).sqrt())  # abs tol 1e-13
             [7.407661629415 +/- 1.07e-13]
-            sage: RealBallField(100)(7/2).beta(1)
+            sage: RealBallField(100)(7/2).beta(1)  # abs tol 1e-30
             [0.28571428571428571428571428571 +/- 5.23e-30]
             sage: RealBallField(100)(7/2).beta(1, 1/2)
             [0.025253813613805268728601584361 +/- 2.53e-31]
@@ -3685,9 +3685,9 @@ cdef class RealBall(RingElement):
 
             sage: RBF(1/2).gamma()
             [1.772453850905516 +/- ...e-16]
-            sage: RBF(gamma(3/2, RBF(2).sqrt()))
+            sage: RBF(gamma(3/2, RBF(2).sqrt()))  # abs tol 2e-17
             [0.37118875695353 +/- 3.00e-15]
-            sage: RBF(3/2).gamma_inc(RBF(2).sqrt())
+            sage: RBF(3/2).gamma_inc(RBF(2).sqrt())  # abs tol 2e-17
             [0.37118875695353 +/- 3.00e-15]
 
         .. SEEALSO::
diff --git a/src/sage/symbolic/function.pyx b/src/sage/symbolic/function.pyx
index 89cdce5..480a601 100644
--- a/src/sage/symbolic/function.pyx
+++ b/src/sage/symbolic/function.pyx
@@ -626,7 +626,7 @@ cdef class Function(SageObject):
             sage: b = RBF(3/2, 1e-10)
             sage: airy_ai(b)
             airy_ai([1.500000000 +/- 1.01e-10])
-            sage: gamma(b, 1)
+            sage: gamma(b, 1)  # abs tol 4.5e-9
             [0.50728223 +/- 4.67e-9]
             sage: hurwitz_zeta(b, b)
             hurwitz_zeta([1.500000000 +/- 1.01e-10], [1.500000000 +/- 1.01e-10])
-- 
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