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Date:      Wed, 17 Mar 2021 16:58:22 +0000 (UTC)
From:      Thierry Thomas <thierry@FreeBSD.org>
To:        ports-committers@freebsd.org, svn-ports-all@freebsd.org, svn-ports-head@freebsd.org
Subject:   svn commit: r568679 - head/math/sage/files
Message-ID:  <202103171658.12HGwMeL090297@repo.freebsd.org>

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Author: thierry
Date: Wed Mar 17 16:58:21 2021
New Revision: 568679
URL: https://svnweb.freebsd.org/changeset/ports/568679

Log:
  Fix build, with patch from John Cremona.
  
  Reported by:	pkg-fallout

Added:
  head/math/sage/files/patch-src_sage_libs_eclib_____init____.pxd   (contents, props changed)
  head/math/sage/files/patch-src_sage_libs_eclib_interface.py   (contents, props changed)
  head/math/sage/files/patch-src_sage_libs_eclib_mwrank.pyx   (contents, props changed)
  head/math/sage/files/patch-src_sage_libs_eclib_wrap.cpp   (contents, props changed)
Modified:
  head/math/sage/files/patch-build_pkgs_giac_spkg-configure.m4

Modified: head/math/sage/files/patch-build_pkgs_giac_spkg-configure.m4
==============================================================================
--- head/math/sage/files/patch-build_pkgs_giac_spkg-configure.m4	Wed Mar 17 16:56:14 2021	(r568678)
+++ head/math/sage/files/patch-build_pkgs_giac_spkg-configure.m4	Wed Mar 17 16:58:21 2021	(r568679)
@@ -1,11 +1,30 @@
---- build/pkgs/giac/spkg-configure.m4.orig	2020-10-04 14:57:22 UTC
+--- build/pkgs/giac/spkg-configure.m4.orig	2021-03-16 21:40:45 UTC
 +++ build/pkgs/giac/spkg-configure.m4
-@@ -2,7 +2,7 @@ SAGE_SPKG_CONFIGURE([giac], [
-     SAGE_SPKG_DEPCHECK([pari], [
-        dnl giac does not seem to reveal its patchlevel
-        m4_pushdef([GIAC_MIN_VERSION], [1.5.0])
+@@ -1,26 +1,8 @@
+ SAGE_SPKG_CONFIGURE([giac], [
+-    SAGE_SPKG_DEPCHECK([pari], [
+-       dnl giac does not seem to reveal its patchlevel
+-       m4_pushdef([GIAC_MIN_VERSION], [1.5.0])
 -       m4_pushdef([GIAC_MAX_VERSION], [1.5.999])
-+       m4_pushdef([GIAC_MAX_VERSION], [1.6.1])
-        AC_CACHE_CHECK([for giac >= ]GIAC_MIN_VERSION[, <= ]GIAC_MAX_VERSION, [ac_cv_path_GIAC], [
-          AC_PATH_PROGS_FEATURE_CHECK([GIAC], [giac], [
-             giac_version=$($ac_path_GIAC --version 2> /dev/null | tail -1)
+-       AC_CACHE_CHECK([for giac >= ]GIAC_MIN_VERSION[, <= ]GIAC_MAX_VERSION, [ac_cv_path_GIAC], [
+-         AC_PATH_PROGS_FEATURE_CHECK([GIAC], [giac], [
+-            giac_version=$($ac_path_GIAC --version 2> /dev/null | tail -1)
+-            AS_IF([test -n "$giac_version"], [
+-                AX_COMPARE_VERSION([$giac_version], [ge], GIAC_MIN_VERSION, [
+-                    AX_COMPARE_VERSION([$giac_version], [le], GIAC_MAX_VERSION, [
+-                        ac_cv_path_GIAC="$ac_path_GIAC"
+-                    ])
+-                ])
+-            ])
+-         ])
+-       ])
+-       AS_IF([test -z "$ac_cv_path_GIAC"],
+-             [sage_spkg_install_giac=yes])
++    SAGE_SPKG_DEPCHECK([glpk pari], [
+        AC_CHECK_HEADER([giac/giac.h], [
+         AC_SEARCH_LIBS([ConvertUTF16toUTF8], [giac], [
+         ], [sage_spkg_install_giac=yes])
+        ], [sage_spkg_install_giac=yes])
+-       m4_popdef([GIAC_MIN_VERSION])
+     ])
+ ])

Added: head/math/sage/files/patch-src_sage_libs_eclib_____init____.pxd
==============================================================================
--- /dev/null	00:00:00 1970	(empty, because file is newly added)
+++ head/math/sage/files/patch-src_sage_libs_eclib_____init____.pxd	Wed Mar 17 16:58:21 2021	(r568679)
@@ -0,0 +1,17 @@
+--- src/sage/libs/eclib/__init__.pxd.orig	2021-03-16 21:40:43 UTC
++++ src/sage/libs/eclib/__init__.pxd
+@@ -8,9 +8,11 @@ from libcpp.pair cimport pair
+ from sage.libs.ntl.types cimport ZZ_c
+ 
+ 
+-# NOTE: eclib includes have specific dependencies and must be included
+-# in a specific order. So we start by listing all relevant include files
+-# in the correct order.
++# NOTE: eclib used to have specific dependencies, so that they had to
++# be included in a specific order. Although this is no longer the
++# case, we start by listing all relevant include files in the correct
++# order.
++
+ cdef extern from "eclib/vector.h": pass
+ cdef extern from "eclib/xmod.h": pass
+ cdef extern from "eclib/svector.h": pass

Added: head/math/sage/files/patch-src_sage_libs_eclib_interface.py
==============================================================================
--- /dev/null	00:00:00 1970	(empty, because file is newly added)
+++ head/math/sage/files/patch-src_sage_libs_eclib_interface.py	Wed Mar 17 16:58:21 2021	(r568679)
@@ -0,0 +1,699 @@
+--- src/sage/libs/eclib/interface.py.orig	2021-03-16 21:40:43 UTC
++++ src/sage/libs/eclib/interface.py
+@@ -21,18 +21,17 @@ Check that ``eclib`` is imported as needed::
+     sage: [k for k in sys.modules if k.startswith("sage.libs.eclib")]
+     []
+     sage: EllipticCurve('11a1').mwrank_curve()
+-    y^2+ y = x^3 - x^2 - 10*x - 20
++    y^2 + y = x^3 - x^2 - 10 x - 20
+     sage: [k for k in sys.modules if k.startswith("sage.libs.eclib")]
+     ['...']
+ """
+-
++import sys
+ from sage.structure.sage_object import SageObject
+ from sage.rings.all import Integer
+ from sage.rings.integer_ring import IntegerRing
+ 
+-from .mwrank import _Curvedata, _two_descent, _mw
++from .mwrank import _Curvedata, _two_descent, _mw, parse_point_list
+ 
+-
+ class mwrank_EllipticCurve(SageObject):
+     r"""
+     The :class:`mwrank_EllipticCurve` class represents an elliptic
+@@ -67,7 +66,7 @@ class mwrank_EllipticCurve(SageObject):
+ 
+         sage: e = mwrank_EllipticCurve([3, -4])
+         sage: e
+-        y^2 = x^3 + 3*x - 4
++        y^2 = x^3 + 3 x - 4
+         sage: e.ainvs()
+         [0, 0, 0, 3, -4]
+ 
+@@ -127,6 +126,7 @@ class mwrank_EllipticCurve(SageObject):
+ 
+         # place holders
+         self.__saturate = -2  # not yet saturated
++        self.__descent = None
+ 
+     def __reduce__(self):
+         r"""
+@@ -137,12 +137,9 @@ class mwrank_EllipticCurve(SageObject):
+             sage: E = mwrank_EllipticCurve([0,0,1,-7,6])
+             sage: E.__reduce__()
+             (<class 'sage.libs.eclib.interface.mwrank_EllipticCurve'>, ([0, 0, 1, -7, 6], False))
+-
+-
+         """
+         return mwrank_EllipticCurve, (self.__ainvs, self.__verbose)
+ 
+-
+     def set_verbose(self, verbose):
+         """
+         Set the verbosity of printing of output by the :meth:`two_descent()` and
+@@ -247,53 +244,27 @@ class mwrank_EllipticCurve(SageObject):
+ 
+             sage: E = mwrank_EllipticCurve([0,-1,1,0,0])
+             sage: E.__repr__()
+-            'y^2+ y = x^3 - x^2 '
++            'y^2 + y = x^3 - x^2'
+         """
+-        # TODO: Is the use (or omission) of spaces here intentional?
+-        a = self.ainvs()
+-        s = "y^2"
+-        if a[0] == -1:
+-            s += "- x*y "
+-        elif a[0] == 1:
+-            s += "+ x*y "
+-        elif a[0] != 0:
+-            s += "+ %s*x*y "%a[0]
+-        if a[2] == -1:
+-            s += " - y"
+-        elif a[2] == 1:
+-            s += "+ y"
+-        elif a[2] != 0:
+-            s += "+ %s*y"%a[2]
+-        s += " = x^3 "
+-        if a[1] == -1:
+-            s += "- x^2 "
+-        elif a[1] == 1:
+-            s += "+ x^2 "
+-        elif a[1] != 0:
+-            s += "+ %s*x^2 "%a[1]
+-        if a[3] == -1:
+-            s += "- x "
+-        elif a[3] == 1:
+-            s += "+ x "
+-        elif a[3] != 0:
+-            s += "+ %s*x "%a[3]
+-        if a[4] == -1:
+-            s += "-1"
+-        elif a[4] == 1:
+-            s += "+1"
+-        elif a[4] != 0:
+-            s += "+ %s"%a[4]
+-        s = s.replace("+ -","- ")
+-        return s
++        a1, a2, a3, a4, a6 = self.__ainvs
++        # we do not assume a1, a2, a3 are reduced to {0,1}, {-1,0,1}, {0,1}
++        coeff = lambda a: ''.join([" +" if a > 0 else " -",
++                                   " " + str(abs(a)) if abs(a) > 1 else ""])
++        return ''.join(['y^2',
++                        ' '.join([coeff(a1), 'xy']) if a1 else '',
++                        ' '.join([coeff(a3), 'y']) if a3 else '',
++                        ' = x^3',
++                        ' '.join([coeff(a2), 'x^2']) if a2 else '',
++                        ' '.join([coeff(a4), 'x']) if a4 else '',
++                        ' '.join([" +" if a6 > 0 else " -", str(abs(a6))]) if a6 else ''])
+ 
+-
+     def two_descent(self,
+-                    verbose = True,
+-                    selmer_only = False,
+-                    first_limit = 20,
+-                    second_limit = 8,
+-                    n_aux = -1,
+-                    second_descent = True):
++                    verbose=True,
++                    selmer_only=False,
++                    first_limit=20,
++                    second_limit=8,
++                    n_aux=-1,
++                    second_descent=True):
+         r"""
+         Compute 2-descent data for this curve.
+ 
+@@ -374,16 +345,14 @@ class mwrank_EllipticCurve(SageObject):
+         second_limit = int(second_limit)
+         n_aux = int(n_aux)
+         second_descent = int(second_descent)    # convert from bool to (int) 0 or 1
+-        # TODO:  Don't allow limits above some value...???
+-        #   (since otherwise mwrank just sets limit tiny)
+         self.__descent = _two_descent()
+         self.__descent.do_descent(self.__curve,
+-                                      verbose,
+-                                      selmer_only,
+-                                      first_limit,
+-                                      second_limit,
+-                                      n_aux,
+-                                      second_descent)
++                                  verbose,
++                                  selmer_only,
++                                  first_limit,
++                                  second_limit,
++                                  n_aux,
++                                  second_descent)
+         if not self.__descent.ok():
+             raise RuntimeError("A 2-descent did not complete successfully.")
+         self.__saturate = -2  # not yet saturated
+@@ -398,11 +367,9 @@ class mwrank_EllipticCurve(SageObject):
+             sage: E._mwrank_EllipticCurve__two_descent_data()
+             <sage.libs.eclib.mwrank._two_descent object at ...>
+         """
+-        try:
+-            return self.__descent
+-        except AttributeError:
++        if self.__descent is None:
+             self.two_descent(self.__verbose)
+-            return self.__descent
++        return self.__descent
+ 
+     def conductor(self):
+         """
+@@ -565,22 +532,24 @@ class mwrank_EllipticCurve(SageObject):
+         R = self.__two_descent_data().regulator()
+         return float(R)
+ 
+-    def saturate(self, bound=-1):
++    def saturate(self, bound=-1, lower=2):
+         """
+-        Compute the saturation of the Mordell-Weil group at all
+-        primes up to ``bound``.
++        Compute the saturation of the Mordell-Weil group.
+ 
+         INPUT:
+ 
+-        - ``bound`` (int, default -1) -- Use `-1` (the default) to
+-          saturate at *all* primes, `0` for no saturation, or `n` (a
+-          positive integer) to saturate at all primes up to `n`.
++        - ``bound`` (int, default -1) -- If `-1`, saturate at *all*
++          primes by computing a bound on the saturation index,
++          otherwise saturate at all primes up to the minimum of
++          ``bound`` and the saturation index bound.
+ 
++        - ``lower`` (int, default 2) -- Only saturate at primes not
++          less than this.
++
+         EXAMPLES:
+ 
+         Since the 2-descent automatically saturates at primes up to
+-        20, it is not easy to come up with an example where saturation
+-        has any effect::
++        20, further saturation often has no effect::
+ 
+             sage: E = mwrank_EllipticCurve([0, 0, 0, -1002231243161, 0])
+             sage: E.gens()
+@@ -599,7 +568,7 @@ class mwrank_EllipticCurve(SageObject):
+         """
+         bound = int(bound)
+         if self.__saturate < bound:
+-            self.__two_descent_data().saturate(bound)
++            self.__two_descent_data().saturate(bound, lower)
+             self.__saturate = bound
+ 
+     def gens(self):
+@@ -613,8 +582,7 @@ class mwrank_EllipticCurve(SageObject):
+             [[0, -1, 1]]
+         """
+         self.saturate()
+-        L = eval(self.__two_descent_data().getbasis().replace(":",","))
+-        return [[Integer(x), Integer(y), Integer(z)] for (x,y,z) in L]
++        return parse_point_list(self.__two_descent_data().getbasis())
+ 
+     def certain(self):
+         r"""
+@@ -760,65 +728,37 @@ class mwrank_MordellWeil(SageObject):
+         sage: EQ.search(1)
+         P1 = [0:1:0]     is torsion point, order 1
+         P1 = [-3:0:1]     is generator number 1
+-        saturating up to 20...Checking 2-saturation
+-        Points have successfully been 2-saturated (max q used = 7)
+-        Checking 3-saturation
+-        Points have successfully been 3-saturated (max q used = 7)
+-        Checking 5-saturation
+-        Points have successfully been 5-saturated (max q used = 23)
+-        Checking 7-saturation
+-        Points have successfully been 7-saturated (max q used = 41)
+-        Checking 11-saturation
+-        Points have successfully been 11-saturated (max q used = 17)
+-        Checking 13-saturation
+-        Points have successfully been 13-saturated (max q used = 43)
+-        Checking 17-saturation
+-        Points have successfully been 17-saturated (max q used = 31)
+-        Checking 19-saturation
+-        Points have successfully been 19-saturated (max q used = 37)
++        saturating up to 20...Saturation index bound (for points of good reduction)  = 3
++        Reducing saturation bound from given value 20 to computed index bound 3
++        Checking saturation at [ 2 3 ]
++        Checking 2-saturation 
++        Points were proved 2-saturated (max q used = 7)
++        Checking 3-saturation 
++        Points were proved 3-saturated (max q used = 7)
+         done
+         P2 = [-2:3:1]     is generator number 2
+-        saturating up to 20...Checking 2-saturation
++        saturating up to 20...Saturation index bound (for points of good reduction)  = 4
++        Reducing saturation bound from given value 20 to computed index bound 4
++        Checking saturation at [ 2 3 ]
++        Checking 2-saturation 
+         possible kernel vector = [1,1]
+         This point may be in 2E(Q): [14:-52:1]
+-        ...and it is!
++        ...and it is! 
+         Replacing old generator #1 with new generator [1:-1:1]
++        Reducing index bound from 4 to 2
+         Points have successfully been 2-saturated (max q used = 7)
+         Index gain = 2^1
+-        Checking 3-saturation
+-        Points have successfully been 3-saturated (max q used = 13)
+-        Checking 5-saturation
+-        Points have successfully been 5-saturated (max q used = 67)
+-        Checking 7-saturation
+-        Points have successfully been 7-saturated (max q used = 53)
+-        Checking 11-saturation
+-        Points have successfully been 11-saturated (max q used = 73)
+-        Checking 13-saturation
+-        Points have successfully been 13-saturated (max q used = 103)
+-        Checking 17-saturation
+-        Points have successfully been 17-saturated (max q used = 113)
+-        Checking 19-saturation
+-        Points have successfully been 19-saturated (max q used = 47)
+-        done (index = 2).
++        done, index = 2.
+         Gained index 2, new generators = [ [1:-1:1] [-2:3:1] ]
+         P3 = [-14:25:8]   is generator number 3
+-        saturating up to 20...Checking 2-saturation
+-        Points have successfully been 2-saturated (max q used = 11)
+-        Checking 3-saturation
+-        Points have successfully been 3-saturated (max q used = 13)
+-        Checking 5-saturation
+-        Points have successfully been 5-saturated (max q used = 71)
+-        Checking 7-saturation
+-        Points have successfully been 7-saturated (max q used = 101)
+-        Checking 11-saturation
+-        Points have successfully been 11-saturated (max q used = 127)
+-        Checking 13-saturation
+-        Points have successfully been 13-saturated (max q used = 151)
+-        Checking 17-saturation
+-        Points have successfully been 17-saturated (max q used = 139)
+-        Checking 19-saturation
+-        Points have successfully been 19-saturated (max q used = 179)
+-        done (index = 1).
++        saturating up to 20...Saturation index bound (for points of good reduction)  = 3
++        Reducing saturation bound from given value 20 to computed index bound 3
++        Checking saturation at [ 2 3 ]
++        Checking 2-saturation 
++        Points were proved 2-saturated (max q used = 11)
++        Checking 3-saturation 
++        Points were proved 3-saturated (max q used = 13)
++        done, index = 1.
+         P4 = [-1:3:1]    = -1*P1 + -1*P2 + -1*P3 (mod torsion)
+         P4 = [0:2:1]     = 2*P1 + 0*P2 + 1*P3 (mod torsion)
+         P4 = [2:13:8]    = -3*P1 + 1*P2 + -1*P3 (mod torsion)
+@@ -878,7 +818,7 @@ class mwrank_MordellWeil(SageObject):
+             sage: E = mwrank_EllipticCurve([0,0,1,-7,6])
+             sage: EQ = mwrank_MordellWeil(E)
+             sage: EQ.__reduce__()
+-            (<class 'sage.libs.eclib.interface.mwrank_MordellWeil'>, (y^2+ y = x^3 - 7*x + 6, True, 1, 999))
++            (<class 'sage.libs.eclib.interface.mwrank_MordellWeil'>, (y^2 + y = x^3 - 7 x + 6, True, 1, 999))
+         """
+         return mwrank_MordellWeil, (self.__curve, self.__verbose, self.__pp, self.__maxr)
+ 
+@@ -902,21 +842,20 @@ class mwrank_MordellWeil(SageObject):
+         """
+         return "Subgroup of Mordell-Weil group: %s"%self.__mw
+ 
+-    def process(self, v, sat=0):
+-        """
++    def process(self, v, saturation_bound=0):
++        """Process points in the list ``v``.
++
+         This function allows one to add points to a :class:`mwrank_MordellWeil` object.
+ 
+-        Process points in the list ``v``, with saturation at primes up to
+-        ``sat``.  If ``sat`` is zero (the default), do no saturation.
+-
+         INPUT:
+ 
+         - ``v`` (list of 3-tuples or lists of ints or Integers) -- a
+           list of triples of integers, which define points on the
+           curve.
+ 
+-        - ``sat`` (int, default 0) -- saturate at primes up to ``sat``, or at
+-          *all* primes if ``sat`` is zero.
++        - ``saturation_bound`` (int, default 0) -- saturate at primes up to
++          ``saturation_bound``, or at *all* primes if ``saturation_bound`` is -1; when ``saturation_bound``
++          is 0 (the default), do no saturation..
+ 
+         OUTPUT:
+ 
+@@ -939,11 +878,11 @@ class mwrank_MordellWeil(SageObject):
+             sage: EQ.points()
+             [[1, -1, 1], [-2, 3, 1], [-14, 25, 8]]
+ 
+-        Example to illustrate the saturation parameter ``sat``::
++        Example to illustrate the saturation parameter ``saturation_bound``::
+ 
+             sage: E = mwrank_EllipticCurve([0,0,1,-7,6])
+             sage: EQ = mwrank_MordellWeil(E)
+-            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], sat=20)
++            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], saturation_bound=20)
+             P1 = [1547:-2967:343]         is generator number 1
+             ...
+             Gained index 5, new generators = [ [-2:3:1] [-14:25:8] [1:-1:1] ]
+@@ -956,7 +895,7 @@ class mwrank_MordellWeil(SageObject):
+ 
+             sage: E = mwrank_EllipticCurve([0,0,1,-7,6])
+             sage: EQ = mwrank_MordellWeil(E)
+-            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], sat=0)
++            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], saturation_bound=0)
+             P1 = [1547:-2967:343]         is generator number 1
+             P2 = [2707496766203306:864581029138191:2969715140223272]      is generator number 2
+             P3 = [-13422227300:-49322830557:12167000000]          is generator number 3
+@@ -965,55 +904,92 @@ class mwrank_MordellWeil(SageObject):
+             sage: EQ.regulator()
+             375.42920288254555
+             sage: EQ.saturate(2)  # points were not 2-saturated
+-            saturating basis...Saturation index bound = 93
+-            WARNING: saturation at primes p > 2 will not be done;
+-            ...
++            saturating basis...Saturation index bound (for points of good reduction)  = 93
++            Only p-saturating for p up to given value 2.
++            The resulting points may not be p-saturated for p between this and the computed index bound 93
++            Checking saturation at [ 2 ]
++            Checking 2-saturation 
++            possible kernel vector = [1,0,0]
++            This point may be in 2E(Q): [1547:-2967:343]
++            ...and it is! 
++            Replacing old generator #1 with new generator [-2:3:1]
++            Reducing index bound from 93 to 46
++            Points have successfully been 2-saturated (max q used = 11)
++            Index gain = 2^1
++            done
+             Gained index 2
+-            New regulator =  93.857...
+-            (False, 2, '[ ]')
++            New regulator =  93.85730072
++            (True, 2, '[ ]')
+             sage: EQ.points()
+             [[-2, 3, 1], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]]
+             sage: EQ.regulator()
+             93.85730072063639
+             sage: EQ.saturate(3)  # points were not 3-saturated
+-            saturating basis...Saturation index bound = 46
+-            WARNING: saturation at primes p > 3 will not be done;
+-            ...
++            saturating basis...Saturation index bound (for points of good reduction)  = 46
++            Only p-saturating for p up to given value 3.
++            The resulting points may not be p-saturated for p between this and the computed index bound 46
++            Checking saturation at [ 2 3 ]
++            Checking 2-saturation 
++            Points were proved 2-saturated (max q used = 11)
++            Checking 3-saturation 
++            possible kernel vector = [0,1,0]
++            This point may be in 3E(Q): [2707496766203306:864581029138191:2969715140223272]
++            ...and it is! 
++            Replacing old generator #2 with new generator [-14:25:8]
++            Reducing index bound from 46 to 15
++            Points have successfully been 3-saturated (max q used = 13)
++            Index gain = 3^1
++            done
+             Gained index 3
+-            New regulator =  10.428...
+-            (False, 3, '[ ]')
++            New regulator =  10.42858897
++            (True, 3, '[ ]')
+             sage: EQ.points()
+             [[-2, 3, 1], [-14, 25, 8], [-13422227300, -49322830557, 12167000000]]
+             sage: EQ.regulator()
+             10.4285889689596
+             sage: EQ.saturate(5)  # points were not 5-saturated
+-            saturating basis...Saturation index bound = 15
+-            WARNING: saturation at primes p > 5 will not be done;
+-            ...
++            saturating basis...Saturation index bound (for points of good reduction)  = 15
++            Only p-saturating for p up to given value 5.
++            The resulting points may not be p-saturated for p between this and the computed index bound 15
++            Checking saturation at [ 2 3 5 ]
++            Checking 2-saturation 
++            Points were proved 2-saturated (max q used = 11)
++            Checking 3-saturation 
++            Points were proved 3-saturated (max q used = 13)
++            Checking 5-saturation 
++            possible kernel vector = [0,0,1]
++            This point may be in 5E(Q): [-13422227300:-49322830557:12167000000]
++            ...and it is! 
++            Replacing old generator #3 with new generator [1:-1:1]
++            Reducing index bound from 15 to 3
++            Points have successfully been 5-saturated (max q used = 71)
++            Index gain = 5^1
++            done
+             Gained index 5
+-            New regulator =  0.417...
+-            (False, 5, '[ ]')
++            New regulator =  0.4171435588
++            (True, 5, '[ ]')
+             sage: EQ.points()
+             [[-2, 3, 1], [-14, 25, 8], [1, -1, 1]]
+             sage: EQ.regulator()
+             0.417143558758384
+             sage: EQ.saturate()   # points are now saturated
+-            saturating basis...Saturation index bound = 3
++            saturating basis...Saturation index bound (for points of good reduction)  = 3
++            Tamagawa index primes are [ ]
+             Checking saturation at [ 2 3 ]
+-            Checking 2-saturation
++            Checking 2-saturation 
+             Points were proved 2-saturated (max q used = 11)
+-            Checking 3-saturation
++            Checking 3-saturation 
+             Points were proved 3-saturated (max q used = 13)
+             done
+             (True, 1, '[ ]')
+         """
+         if not isinstance(v, list):
+             raise TypeError("v (=%s) must be a list"%v)
+-        sat = int(sat)
++        saturation_bound = int(saturation_bound)
+         for P in v:
+-            if not isinstance(P, (list,tuple)) or len(P) != 3:
++            if not isinstance(P, (list, tuple)) or len(P) != 3:
+                 raise TypeError("v (=%s) must be a list of 3-tuples (or 3-element lists) of ints"%v)
+-            self.__mw.process(P, sat)
++            self.__mw.process(P, saturation_bound)
+ 
+     def regulator(self):
+         """
+@@ -1091,23 +1067,21 @@ class mwrank_MordellWeil(SageObject):
+         """
+         return self.__mw.rank()
+ 
+-    def saturate(self, max_prime=-1, odd_primes_only=False):
+-        r"""
+-        Saturate this subgroup of the Mordell-Weil group.
++    def saturate(self, max_prime=-1, min_prime=2):
++        r"""Saturate this subgroup of the Mordell-Weil group.
+ 
+         INPUT:
+ 
+-        - ``max_prime`` (int, default -1) -- saturation is performed for
+-          all primes up to ``max_prime``. If `-1` (the default), an
++        - ``max_prime`` (int, default -1) -- If `-1` (the default), an
+           upper bound is computed for the primes at which the subgroup
+-          may not be saturated, and this is used; however, if the
+-          computed bound is greater than a value set by the ``eclib``
+-          library (currently 97) then no saturation will be attempted
+-          at primes above this.
++          may not be saturated, and saturation is performed for all
++          primes up to this bound.  Otherwise, the bound used is the
++          minimum of ``max_prime`` and the computed bound.
+ 
+-        - ``odd_primes_only`` (bool, default ``False``) -- only do
+-          saturation at odd primes.  (If the points have been found
+-          via :meth:`two_descent` they should already be 2-saturated.)
++        - ``min_prime`` (int, default 2) -- only do saturation at
++          primes no less than this.  (For example, if the points have
++          been found via :meth:`two_descent` they should already be
++          2-saturated so a value of 3 is appropriate.)
+ 
+         OUTPUT:
+ 
+@@ -1115,40 +1089,35 @@ class mwrank_MordellWeil(SageObject):
+ 
+         - ``ok`` (bool) -- ``True`` if and only if the saturation was
+           provably successful at all primes attempted.  If the default
+-          was used for ``max_prime`` and no warning was output about
+-          the computed saturation bound being too high, then ``True``
+-          indicates that the subgroup is saturated at *all*
+-          primes.
++          was used for ``max_prime``, then ``True`` indicates that the
++          subgroup is saturated at *all* primes.
+ 
+         - ``index`` (int) -- the index of the group generated by the
+           original points in their saturation.
+ 
+         - ``unsatlist`` (list of ints) -- list of primes at which
+-          saturation could not be proved or achieved.  Increasing the
+-          precision should correct this, since it happens when
+-          a linear combination of the points appears to be a multiple
+-          of `p` but cannot be divided by `p`.  (Note that ``eclib``
+-          uses floating point methods based on elliptic logarithms to
+-          divide points.)
++          saturation could not be proved or achieved.
+ 
+         .. note::
+ 
+-           We emphasize that if this function returns ``True`` as the
+-           first return argument (``ok``), and if the default was used for the
+-           parameter ``max_prime``, then the points in the basis after
+-           calling this function are saturated at *all* primes,
+-           i.e., saturating at the primes up to ``max_prime`` are
+-           sufficient to saturate at all primes.  Note that the
+-           function might not have needed to saturate at all primes up
+-           to ``max_prime``.  It has worked out what prime you need to
+-           saturate up to, and that prime might be smaller than ``max_prime``.
++          In versions up to v20190909, ``eclib`` used floating point
++          methods based on elliptic logarithms to divide points, and
++          did not compute the precision necessary, which could casue
++          failures. Since v20210310, ``eclib`` uses exact method based
++          on division polynomials, which should mean that such
++          failures does not happen.
+ 
+         .. note::
+ 
+-           Currently (May 2010), this does not remember the result of
+-           calling :meth:`search()`.  So calling :meth:`search()` up
+-           to height 20 then calling :meth:`saturate()` results in
+-           another search up to height 18.
++           We emphasize that if this function returns ``True`` as the
++           first return argument (``ok``), and if the default was used
++           for the parameter ``max_prime``, then the points in the
++           basis after calling this function are saturated at *all*
++           primes, i.e., saturating at the primes up to ``max_prime``
++           are sufficient to saturate at all primes.  Note that the
++           function computes an upper bound for the index of
++           saturation, and does no work for primes greater than this
++           even if ``max_prime`` is larger.
+ 
+         EXAMPLES::
+ 
+@@ -1160,7 +1129,7 @@ class mwrank_MordellWeil(SageObject):
+         automatic saturation at this stage we set the parameter
+         ``sat`` to 0 (which is in fact the default)::
+ 
+-            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], sat=0)
++            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], saturation_bound=0)
+             P1 = [1547:-2967:343]         is generator number 1
+             P2 = [2707496766203306:864581029138191:2969715140223272]      is generator number 2
+             P3 = [-13422227300:-49322830557:12167000000]          is generator number 3
+@@ -1172,12 +1141,12 @@ class mwrank_MordellWeil(SageObject):
+         Now we saturate at `p=2`, and gain index 2::
+ 
+             sage: EQ.saturate(2)  # points were not 2-saturated
+-            saturating basis...Saturation index bound = 93
+-            WARNING: saturation at primes p > 2 will not be done;
++            saturating basis...Saturation index bound (for points of good reduction) = 93
++            Only p-saturating for p up to given value 2.
+             ...
+             Gained index 2
+             New regulator =  93.857...
+-            (False, 2, '[ ]')
++            (True, 2, '[ ]')
+             sage: EQ
+             Subgroup of Mordell-Weil group: [[-2:3:1], [2707496766203306:864581029138191:2969715140223272], [-13422227300:-49322830557:12167000000]]
+             sage: EQ.regulator()
+@@ -1186,12 +1155,12 @@ class mwrank_MordellWeil(SageObject):
+         Now we saturate at `p=3`, and gain index 3::
+ 
+             sage: EQ.saturate(3)  # points were not 3-saturated
+-            saturating basis...Saturation index bound = 46
+-            WARNING: saturation at primes p > 3 will not be done;
++            saturating basis...Saturation index bound (for points of good reduction) = 46
++            Only p-saturating for p up to given value 3.
+             ...
+             Gained index 3
+             New regulator =  10.428...
+-            (False, 3, '[ ]')
++            (True, 3, '[ ]')
+             sage: EQ
+             Subgroup of Mordell-Weil group: [[-2:3:1], [-14:25:8], [-13422227300:-49322830557:12167000000]]
+             sage: EQ.regulator()
+@@ -1200,12 +1169,12 @@ class mwrank_MordellWeil(SageObject):
+         Now we saturate at `p=5`, and gain index 5::
+ 
+             sage: EQ.saturate(5)  # points were not 5-saturated
+-            saturating basis...Saturation index bound = 15
+-            WARNING: saturation at primes p > 5 will not be done;
++            saturating basis...Saturation index bound (for points of good reduction) = 15
++            Only p-saturating for p up to given value 5.
+             ...
+             Gained index 5
+             New regulator =  0.417...
+-            (False, 5, '[ ]')
++            (True, 5, '[ ]')
+             sage: EQ
+             Subgroup of Mordell-Weil group: [[-2:3:1], [-14:25:8], [1:-1:1]]
+             sage: EQ.regulator()
+@@ -1215,7 +1184,8 @@ class mwrank_MordellWeil(SageObject):
+         the points are now provably saturated at all primes::
+ 
+             sage: EQ.saturate()   # points are now saturated
+-            saturating basis...Saturation index bound = 3
++            saturating basis...Saturation index bound (for points of good reduction) = 3
++            Tamagawa index primes are [ ]
+             Checking saturation at [ 2 3 ]
+             Checking 2-saturation
+             Points were proved 2-saturated (max q used = 11)
+@@ -1229,7 +1199,7 @@ class mwrank_MordellWeil(SageObject):
+ 
+             sage: E = mwrank_EllipticCurve([0,0,1,-7,6])
+             sage: EQ = mwrank_MordellWeil(E)
+-            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], sat=5)
++            sage: EQ.process([[1547, -2967, 343], [2707496766203306, 864581029138191, 2969715140223272], [-13422227300, -49322830557, 12167000000]], saturation_bound=5)
+             P1 = [1547:-2967:343]         is generator number 1
+             ...
+             Gained index 5, new generators = [ [-2:3:1] [-14:25:8] [1:-1:1] ]
+@@ -1242,7 +1212,8 @@ class mwrank_MordellWeil(SageObject):
+         verify that full saturation has been done::
+ 
+             sage: EQ.saturate()
+-            saturating basis...Saturation index bound = 3
++            saturating basis...Saturation index bound (for points of good reduction) = 3
++            Tamagawa index primes are [ ]
+             Checking saturation at [ 2 3 ]
+             Checking 2-saturation
+             Points were proved 2-saturated (max q used = 11)
+@@ -1255,8 +1226,9 @@ class mwrank_MordellWeil(SageObject):
+         index of the points in their saturation is at most 3, then
+         proves saturation at 2 and at 3, by reducing the points modulo
+         all primes of good reduction up to 11, respectively 13.
++
+         """
+-        ok, index, unsat = self.__mw.saturate(int(max_prime), odd_primes_only)
++        ok, index, unsat = self.__mw.saturate(int(max_prime), int(min_prime))
+         return bool(ok), int(str(index)), unsat
+ 
+     def search(self, height_limit=18, verbose=False):
+@@ -1271,9 +1243,9 @@ class mwrank_MordellWeil(SageObject):
+ 
+         .. note::
+ 
+-          On 32-bit machines, this *must* be < 21.48 else
++          On 32-bit machines, this *must* be < 21.48 (`31\log(2)`) else
+           `\exp(h_{\text{lim}}) > 2^{31}` and overflows.  On 64-bit machines, it
+-          must be *at most* 43.668.  However, this bound is a logarithmic
++          must be *at most* 43.668  (`63\log(2)`) .  However, this bound is a logarithmic
+           bound and increasing it by just 1 increases the running time
+           by (roughly) `\exp(1.5)=4.5`, so searching up to even 20
+           takes a very long time.
+@@ -1320,8 +1292,10 @@ class mwrank_MordellWeil(SageObject):
+             Subgroup of Mordell-Weil group: [[4413270:10381877:27000]]
+         """
+         height_limit = float(height_limit)
+-        if height_limit >= 21.4:        # TODO: docstring says 21.48 (for 32-bit machines; what about 64-bit...?)
+-            raise ValueError("The height limit must be < 21.4.")
++        int_bits = sys.maxsize.bit_length()
++        max_height_limit = int_bits * 0.693147 # log(2.0) = 0.693147 approx
++        if height_limit >= max_height_limit:
++            raise ValueError("The height limit must be < {} = {}log(2) on a {}-bit machine.".format(max_height_limit, int_bits, int_bits+1))
+ 
+         moduli_option = 0  # Use Stoll's sieving program... see strategies in ratpoints-1.4.c
+ 
+@@ -1352,5 +1326,4 @@ class mwrank_MordellWeil(SageObject):
+             [[1, -1, 1], [-2, 3, 1], [-14, 25, 8]]
+ 
+         """
+-        L = eval(self.__mw.getbasis().replace(":",","))
+-        return [[Integer(x), Integer(y), Integer(z)] for (x,y,z) in L]
++        return self.__mw.getbasis()

Added: head/math/sage/files/patch-src_sage_libs_eclib_mwrank.pyx
==============================================================================
--- /dev/null	00:00:00 1970	(empty, because file is newly added)
+++ head/math/sage/files/patch-src_sage_libs_eclib_mwrank.pyx	Wed Mar 17 16:58:21 2021	(r568679)
@@ -0,0 +1,418 @@
+--- src/sage/libs/eclib/mwrank.pyx.orig	2021-03-16 21:40:43 UTC
++++ src/sage/libs/eclib/mwrank.pyx
+@@ -28,6 +28,7 @@ from cysignals.signals cimport sig_on, sig_off
+ from sage.cpython.string cimport char_to_str, str_to_bytes
+ from sage.cpython.string import FS_ENCODING
+ from sage.libs.eclib cimport bigint, Curvedata, mw, two_descent
++from sage.rings.all import Integer
+ 
+ cdef extern from "wrap.cpp":
+     ### misc functions ###
+@@ -55,8 +56,8 @@ cdef extern from "wrap.cpp":
+     char* mw_getbasis(mw* m)
+     double mw_regulator(mw* m)
+     int mw_rank(mw* m)
+-    int mw_saturate(mw* m, bigint* index, char** unsat,
+-                    long sat_bd, int odd_primes_only)
++    int mw_saturate(mw* m, long* index, char** unsat,
++                    long sat_bd, long sat_low_bd)
+     void mw_search(mw* m, char* h_lim, int moduli_option, int verb)
+ 
+     ### two_descent ###
+@@ -67,9 +68,8 @@ cdef extern from "wrap.cpp":
+     long two_descent_get_rank(two_descent* t)
+     long two_descent_get_rank_bound(two_descent* t)
+     long two_descent_get_selmer_rank(two_descent* t)
+-    void two_descent_saturate(two_descent* t, long sat_bd)
++    void two_descent_saturate(two_descent* t, long sat_bd, long sat_low_bd)
+ 
+-
+ cdef object string_sigoff(char* s):
+     sig_off()
+     # Makes a python string and deletes what is pointed to by s.
+@@ -445,7 +445,6 @@ cdef class _Curvedata:   # cython class wrapping eclib
+             -1269581104000000
+         """
+         sig_on()
+-        from sage.rings.all import Integer
+         return Integer(string_sigoff(Curvedata_getdiscr(self.x)))
+ 
+     def conductor(self):
+@@ -467,7 +466,6 @@ cdef class _Curvedata:   # cython class wrapping eclib
+             126958110400
+         """
+         sig_on()
+-        from sage.rings.all import Integer
+         return Integer(string_sigoff(Curvedata_conductor(self.x)))
+ 
+     def isogeny_class(self, verbose=False):
+@@ -503,6 +501,36 @@ cdef class _Curvedata:   # cython class wrapping eclib
+ 
+ ############# _mw #################
+ 
++def parse_point_list(s):
++    r"""
++    Parse a string representing a list of points.
++
++    INPUT:
++
++    - ``s`` (string) -- string representation of a list of points, for
++      example '[]', '[[1:2:3]]', or '[[1:2:3],[4:5:6]]'.
++
++    OUTPUT:
++
++    (list)  a list of triples of integers, for example [], [[1,2,3]], [[1,2,3],[4,5,6]].
++
++    EXAMPLES::
++
++        sage: from sage.libs.eclib.mwrank import parse_point_list
++        sage: parse_point_list('[]')
++        []
++        sage: parse_point_list('[[1:2:3]]')
++        [[1, 2, 3]]
++        sage: parse_point_list('[[1:2:3],[4:5:6]]')
++        [[1, 2, 3], [4, 5, 6]]
++
++    """
++    s = s.replace(":", ",").replace(" ", "")
++    if s == '[]':
++        return []
++    pts = s[2:-2].split('],[')
++    return [[Integer(x) for x in pt.split(",")] for pt in pts]
++
+ cdef class _mw:
+     """
+     Cython class wrapping eclib's mw class.
+@@ -561,72 +589,37 @@ cdef class _mw:
+             sage: EQ.search(1)
+             P1 = [0:1:0]         is torsion point, order 1
+             P1 = [-3:0:1]         is generator number 1
+-            ...
+-            P4 = [12:35:27]      = 1*P1 + -1*P2 + -1*P3 (mod torsion)
+-
+-        The previous command produces the following output::
+-
+-            P1 = [0:1:0]         is torsion point, order 1
+-            P1 = [-3:0:1]         is generator number 1
+-            saturating up to 20...Checking 2-saturation
+-            Points have successfully been 2-saturated (max q used = 7)
+-            Checking 3-saturation
+-            Points have successfully been 3-saturated (max q used = 7)
+-            Checking 5-saturation
+-            Points have successfully been 5-saturated (max q used = 23)
+-            Checking 7-saturation
+-            Points have successfully been 7-saturated (max q used = 41)
+-            Checking 11-saturation
+-            Points have successfully been 11-saturated (max q used = 17)
+-            Checking 13-saturation
+-            Points have successfully been 13-saturated (max q used = 43)
+-            Checking 17-saturation
+-            Points have successfully been 17-saturated (max q used = 31)
+-            Checking 19-saturation
+-            Points have successfully been 19-saturated (max q used = 37)
++            saturating up to 20...Saturation index bound (for points of good reduction)  = 3
++            Reducing saturation bound from given value 20 to computed index bound 3
++            Checking saturation at [ 2 3 ]
++            Checking 2-saturation 
++            Points were proved 2-saturated (max q used = 7)
++            Checking 3-saturation 
++            Points were proved 3-saturated (max q used = 7)
+             done
+             P2 = [-2:3:1]         is generator number 2
+-            saturating up to 20...Checking 2-saturation
++            saturating up to 20...Saturation index bound (for points of good reduction)  = 4
++            Reducing saturation bound from given value 20 to computed index bound 4
++            Checking saturation at [ 2 3 ]
++            Checking 2-saturation 
+             possible kernel vector = [1,1]
+             This point may be in 2E(Q): [14:-52:1]
+-            ...and it is!
++            ...and it is! 
+             Replacing old generator #1 with new generator [1:-1:1]
++            Reducing index bound from 4 to 2
+             Points have successfully been 2-saturated (max q used = 7)
+             Index gain = 2^1
+-            Checking 3-saturation
+-            Points have successfully been 3-saturated (max q used = 13)
+-            Checking 5-saturation
+-            Points have successfully been 5-saturated (max q used = 67)
+-            Checking 7-saturation
+-            Points have successfully been 7-saturated (max q used = 53)
+-            Checking 11-saturation
+-            Points have successfully been 11-saturated (max q used = 73)
+-            Checking 13-saturation
+-            Points have successfully been 13-saturated (max q used = 103)
+-            Checking 17-saturation
+-            Points have successfully been 17-saturated (max q used = 113)
+-            Checking 19-saturation
+-            Points have successfully been 19-saturated (max q used = 47)
+-            done (index = 2).
++            done, index = 2.
+             Gained index 2, new generators = [ [1:-1:1] [-2:3:1] ]
+             P3 = [-14:25:8]       is generator number 3
+-            saturating up to 20...Checking 2-saturation
+-            Points have successfully been 2-saturated (max q used = 11)
+-            Checking 3-saturation
+-            Points have successfully been 3-saturated (max q used = 13)
+-            Checking 5-saturation
+-            Points have successfully been 5-saturated (max q used = 71)
+-            Checking 7-saturation
+-            Points have successfully been 7-saturated (max q used = 101)
+-            Checking 11-saturation
+-            Points have successfully been 11-saturated (max q used = 127)
+-            Checking 13-saturation
+-            Points have successfully been 13-saturated (max q used = 151)
+-            Checking 17-saturation
+-            Points have successfully been 17-saturated (max q used = 139)
+-            Checking 19-saturation
+-            Points have successfully been 19-saturated (max q used = 179)
+-            done (index = 1).
++            saturating up to 20...Saturation index bound (for points of good reduction)  = 3
++            Reducing saturation bound from given value 20 to computed index bound 3
++            Checking saturation at [ 2 3 ]
++            Checking 2-saturation 
++            Points were proved 2-saturated (max q used = 11)
++            Checking 3-saturation 
++            Points were proved 3-saturated (max q used = 13)
++            done, index = 1.
+             P4 = [-1:3:1]        = -1*P1 + -1*P2 + -1*P3 (mod torsion)
+             P4 = [0:2:1]         = 2*P1 + 0*P2 + 1*P3 (mod torsion)
+             P4 = [2:13:8]        = -3*P1 + 1*P2 + -1*P3 (mod torsion)
+@@ -687,7 +680,7 @@ cdef class _mw:
+         sig_on()
+         return string_sigoff(mw_getbasis(self.x))
+ 
+-    def process(self, point, sat=0):
++    def process(self, point, saturation_bound=0):
+         """
+         Processes the given point, adding it to the mw group.
+ 
+@@ -697,10 +690,12 @@ cdef class _mw:
+           An ``ArithmeticError`` is raised if the point is not on the
+           curve.
+ 
+-        - ``sat`` (int, default 0) --saturate at primes up to ``sat``.
+-          No saturation is done if ``sat=0``.  (Note that it is more
+-          efficient to add several points at once and then saturate
+-          just once at the end).
++        - ``saturation_bound`` (int, default 0) --saturate at primes up to ``saturation_bound``.
++          No saturation is done if ``saturation_bound=0``.  If ``saturation_bound=-1`` then
++          saturation is done at all primes, by computing a bound on
++          the saturation index.  Note that it is more efficient to add
++          several points at once and then saturate just once at the
++          end.
+ 
+         .. NOTE::
+ 
+@@ -746,7 +741,7 @@ cdef class _mw:
+         cdef _bigint x,y,z
+         sig_on()
+         x,y,z = _bigint(point[0]), _bigint(point[1]), _bigint(point[2])
+-        r = mw_process(self.curve, self.x, x.x, y.x, z.x, sat)
++        r = mw_process(self.curve, self.x, x.x, y.x, z.x, saturation_bound)
+         sig_off()
+         if r != 0:
+             raise ArithmeticError("point (=%s) not on curve." % point)
+@@ -757,8 +752,8 @@ cdef class _mw:
+ 
+         OUTPUT:
+ 
+-        (string) String representation of the points in the basis of
+-        the mw group.
++        (list) list of integer triples giving the projective
++        coordinates of the points in the basis.
+ 
+         EXAMPLES::
+ 
+@@ -768,13 +763,13 @@ cdef class _mw:
+             sage: EQ = _mw(E)
+             sage: EQ.search(3)
+             sage: EQ.getbasis()
+-            '[[0:-1:1], [-1:1:1]]'
++            [[0, -1, 1], [-1, 1, 1]]
+             sage: EQ.rank()

*** DIFF OUTPUT TRUNCATED AT 1000 LINES ***



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