Merge pull request #286 from oscarbenjamin/pr_flint_330

oscarbenjamin · web-flow · commit da6f712f1cf2 · 2025-06-11T23:34:28.000+01:00
maint: bump FLINT to v3.3.0
diff --git a/bin/build_variables.sh b/bin/build_variables.sh
@@ -21,4 +21,4 @@ MPIRVER=3.0.0 # MPIR build no longer works (not clear where to download from)
 # These are the actual dependencies used (at least by default):
 GMPVER=6.3.0
 MPFRVER=4.2.2
-FLINTVER='3.2.2'
+FLINTVER='3.3.0'
diff --git a/meson.build b/meson.build
@@ -12,7 +12,7 @@ project(
 # then we can consider not using a speculative upper version cap here.
 #
 flint_lower = '>=3.0'
-flint_upper = '<3.3'
+flint_upper = '<3.4'
 cython_lower = '>=3.0.11'
 cython_upper = '<3.2'
 
diff --git a/src/flint/flintlib/functions/acb_theta.pxd b/src/flint/flintlib/functions/acb_theta.pxd
diff --git a/src/flint/flintlib/functions/arf.pxd b/src/flint/flintlib/functions/arf.pxd
@@ -62,6 +62,7 @@ cdef extern from "flint/arf.h":
     int arf_get_fmpz_fixed_si(fmpz_t res, const arf_t x, slong e)
     void arf_floor(arf_t res, const arf_t x)
     void arf_ceil(arf_t res, const arf_t x)
+    void arf_nint(arf_t res, const arf_t x)
     void arf_get_fmpq(fmpq_t res, const arf_t x)
     int arf_equal(const arf_t x, const arf_t y)
     int arf_equal_si(const arf_t x, slong y)
diff --git a/src/flint/flintlib/functions/fmpz.pxd b/src/flint/flintlib/functions/fmpz.pxd
@@ -163,7 +163,7 @@ cdef extern from "flint/fmpz.h":
     void fmpz_divexact2_uiui(fmpz_t f, const fmpz_t g, ulong x, ulong y)
     int fmpz_divisible(const fmpz_t f, const fmpz_t g)
     int fmpz_divisible_si(const fmpz_t f, slong g)
-    int fmpz_divides(fmpz_t q, const fmpz_t g, const fmpz_t h)
+    int fmpz_divides(fmpz_t q, const fmpz_t f, const fmpz_t g)
     void fmpz_mod(fmpz_t f, const fmpz_t g, const fmpz_t h)
     ulong fmpz_mod_ui(fmpz_t f, const fmpz_t g, ulong h)
     void fmpz_smod(fmpz_t f, const fmpz_t g, const fmpz_t h)
diff --git a/src/flint/flintlib/functions/fmpz_mod_mat.pxd b/src/flint/flintlib/functions/fmpz_mod_mat.pxd
@@ -43,6 +43,7 @@ cdef extern from "flint/fmpz_mod_mat.h":
     void _fmpz_mod_mat_mul_classical_threaded_op(fmpz_mod_mat_t D, const fmpz_mod_mat_t C, const fmpz_mod_mat_t A, const fmpz_mod_mat_t B, int op, const fmpz_mod_ctx_t ctx)
     void fmpz_mod_mat_mul_classical_threaded(fmpz_mod_mat_t C, const fmpz_mod_mat_t A, const fmpz_mod_mat_t B, const fmpz_mod_ctx_t ctx)
     void fmpz_mod_mat_sqr(fmpz_mod_mat_t B, const fmpz_mod_mat_t A, const fmpz_mod_ctx_t ctx)
+    void fmpz_mod_mat_pow_ui(fmpz_mod_mat_t B, const fmpz_mod_mat_t A, ulong e, const fmpz_mod_ctx_t ctx)
     void fmpz_mod_mat_mul_fmpz_vec(fmpz_struct * c, const fmpz_mod_mat_t A, const fmpz_struct * b, slong blen, const fmpz_mod_ctx_t ctx)
     void fmpz_mod_mat_mul_fmpz_vec_ptr(fmpz_struct * const * c, const fmpz_mod_mat_t A, const fmpz_struct * const * b, slong blen, const fmpz_mod_ctx_t ctx)
     void fmpz_mod_mat_fmpz_vec_mul(fmpz_struct * c, const fmpz_struct * a, slong alen, const fmpz_mod_mat_t B, const fmpz_mod_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/fq_default_mat.pxd b/src/flint/flintlib/functions/fq_default_mat.pxd
@@ -47,6 +47,7 @@ cdef extern from "flint/fq_default_mat.h":
     int fq_default_mat_is_one(const fq_default_mat_t mat, const fq_default_ctx_t ctx)
     int fq_default_mat_is_empty(const fq_default_mat_t mat, const fq_default_ctx_t ctx)
     int fq_default_mat_is_square(const fq_default_mat_t mat, const fq_default_ctx_t ctx)
+    void fq_default_mat_transpose(fq_default_mat_t B, const fq_default_mat_t A, const fq_default_ctx_t ctx)
     void fq_default_mat_add(fq_default_mat_t C, const fq_default_mat_t A, const fq_default_mat_t B, const fq_default_ctx_t ctx)
     void fq_default_mat_sub(fq_default_mat_t C, const fq_default_mat_t A, const fq_default_mat_t B, const fq_default_ctx_t ctx)
     void fq_default_mat_neg(fq_default_mat_t A, const fq_default_mat_t B, const fq_default_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/fq_mat.pxd b/src/flint/flintlib/functions/fq_mat.pxd
@@ -44,6 +44,7 @@ cdef extern from "flint/fq_mat.h":
     int fq_mat_is_one(const fq_mat_t mat, const fq_ctx_t ctx)
     int fq_mat_is_empty(const fq_mat_t mat, const fq_ctx_t ctx)
     int fq_mat_is_square(const fq_mat_t mat, const fq_ctx_t ctx)
+    void fq_mat_transpose(fq_mat_t B, const fq_mat_t A, const fq_ctx_t ctx)
     void fq_mat_add(fq_mat_t C, const fq_mat_t A, const fq_mat_t B, const fq_ctx_t ctx)
     void fq_mat_sub(fq_mat_t C, const fq_mat_t A, const fq_mat_t B, const fq_ctx_t ctx)
     void fq_mat_neg(fq_mat_t A, const fq_mat_t B, const fq_ctx_t ctx)
@@ -57,19 +58,12 @@ cdef extern from "flint/fq_mat.h":
     void fq_mat_vec_mul_ptr(fq_struct * const * c, const fq_struct * const * a, slong alen, const fq_mat_t B, const fq_ctx_t ctx)
     int fq_mat_inv(fq_mat_t B, fq_mat_t A, const fq_ctx_t ctx)
     slong fq_mat_lu(slong * P, fq_mat_t A, int rank_check, const fq_ctx_t ctx)
-    slong fq_mat_lu_classical(slong * P, fq_mat_t A, int rank_check, const fq_ctx_t ctx)
-    slong fq_mat_lu_recursive(slong * P, fq_mat_t A, int rank_check, const fq_ctx_t ctx)
     slong fq_mat_rref(fq_mat_t B, const fq_mat_t A, const fq_ctx_t ctx)
     slong fq_mat_reduce_row(fq_mat_t A, slong * P, slong * L, slong n, const fq_ctx_t ctx)
     void fq_mat_solve_tril(fq_mat_t X, const fq_mat_t L, const fq_mat_t B, int unit, const fq_ctx_t ctx)
-    void fq_mat_solve_tril_classical(fq_mat_t X, const fq_mat_t L, const fq_mat_t B, int unit, const fq_ctx_t ctx)
-    void fq_mat_solve_tril_recursive(fq_mat_t X, const fq_mat_t L, const fq_mat_t B, int unit, const fq_ctx_t ctx)
     void fq_mat_solve_triu(fq_mat_t X, const fq_mat_t U, const fq_mat_t B, int unit, const fq_ctx_t ctx)
-    void fq_mat_solve_triu_classical(fq_mat_t X, const fq_mat_t U, const fq_mat_t B, int unit, const fq_ctx_t ctx)
-    void fq_mat_solve_triu_recursive(fq_mat_t X, const fq_mat_t U, const fq_mat_t B, int unit, const fq_ctx_t ctx)
     int fq_mat_solve(fq_mat_t X, const fq_mat_t A, const fq_mat_t B, const fq_ctx_t ctx)
     int fq_mat_can_solve(fq_mat_t X, const fq_mat_t A, const fq_mat_t B, const fq_ctx_t ctx)
     void fq_mat_similarity(fq_mat_t M, slong r, fq_t d, const fq_ctx_t ctx)
-    void fq_mat_charpoly_danilevsky(fq_poly_t p, const fq_mat_t M, const fq_ctx_t ctx)
     void fq_mat_charpoly(fq_poly_t p, const fq_mat_t M, const fq_ctx_t ctx)
     void fq_mat_minpoly(fq_poly_t p, const fq_mat_t M, const fq_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/fq_nmod_mat.pxd b/src/flint/flintlib/functions/fq_nmod_mat.pxd
@@ -44,6 +44,7 @@ cdef extern from "flint/fq_nmod_mat.h":
     int fq_nmod_mat_is_one(const fq_nmod_mat_t mat, const fq_nmod_ctx_t ctx)
     int fq_nmod_mat_is_empty(const fq_nmod_mat_t mat, const fq_nmod_ctx_t ctx)
     int fq_nmod_mat_is_square(const fq_nmod_mat_t mat, const fq_nmod_ctx_t ctx)
+    void fq_nmod_mat_transpose(fq_nmod_mat_t B, const fq_nmod_mat_t A, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_add(fq_nmod_mat_t C, const fq_nmod_mat_t A, const fq_nmod_mat_t B,  const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_sub(fq_nmod_mat_t C, const fq_nmod_mat_t A, const fq_nmod_mat_t B, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_neg(fq_nmod_mat_t A, const fq_nmod_mat_t B, const fq_nmod_ctx_t ctx)
@@ -57,19 +58,12 @@ cdef extern from "flint/fq_nmod_mat.h":
     void fq_nmod_mat_vec_mul_ptr(fq_nmod_struct * const * c, const fq_nmod_struct * const * a, slong alen, const fq_nmod_mat_t B, const fq_nmod_ctx_t ctx)
     int fq_nmod_mat_inv(fq_nmod_mat_t B, fq_nmod_mat_t A, const fq_nmod_ctx_t ctx)
     slong fq_nmod_mat_lu(slong * P, fq_nmod_mat_t A, int rank_check, const fq_nmod_ctx_t ctx)
-    slong fq_nmod_mat_lu_classical(slong * P, fq_nmod_mat_t A, int rank_check, const fq_nmod_ctx_t ctx)
-    slong fq_nmod_mat_lu_recursive(slong * P, fq_nmod_mat_t A, int rank_check, const fq_nmod_ctx_t ctx)
     slong fq_nmod_mat_rref(fq_nmod_mat_t B, const fq_nmod_mat_t A, const fq_nmod_ctx_t ctx)
     slong fq_nmod_mat_reduce_row(fq_nmod_mat_t A, slong * P, slong * L, slong n, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_solve_tril(fq_nmod_mat_t X, const fq_nmod_mat_t L, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
-    void fq_nmod_mat_solve_tril_classical(fq_nmod_mat_t X, const fq_nmod_mat_t L, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
-    void fq_nmod_mat_solve_tril_recursive(fq_nmod_mat_t X, const fq_nmod_mat_t L, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_solve_triu(fq_nmod_mat_t X, const fq_nmod_mat_t U, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
-    void fq_nmod_mat_solve_triu_classical(fq_nmod_mat_t X, const fq_nmod_mat_t U, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
-    void fq_nmod_mat_solve_triu_recursive(fq_nmod_mat_t X, const fq_nmod_mat_t U, const fq_nmod_mat_t B, int unit, const fq_nmod_ctx_t ctx)
     int fq_nmod_mat_solve(fq_nmod_mat_t X, const fq_nmod_mat_t A, const fq_nmod_mat_t B, const fq_nmod_ctx_t ctx)
     int fq_nmod_mat_can_solve(fq_nmod_mat_t X, const fq_nmod_mat_t A, const fq_nmod_mat_t B, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_similarity(fq_nmod_mat_t M, slong r, fq_nmod_t d, const fq_nmod_ctx_t ctx)
-    void fq_nmod_mat_charpoly_danilevsky(fq_nmod_poly_t p, const fq_nmod_mat_t M, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_charpoly(fq_nmod_poly_t p, const fq_nmod_mat_t M, const fq_nmod_ctx_t ctx)
     void fq_nmod_mat_minpoly(fq_nmod_poly_t p, const fq_nmod_mat_t M, const fq_nmod_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/fq_zech_mat.pxd b/src/flint/flintlib/functions/fq_zech_mat.pxd
@@ -40,6 +40,7 @@ cdef extern from "flint/fq_zech_mat.h":
     int fq_zech_mat_is_one(const fq_zech_mat_t mat, const fq_zech_ctx_t ctx)
     int fq_zech_mat_is_empty(const fq_zech_mat_t mat, const fq_zech_ctx_t ctx)
     int fq_zech_mat_is_square(const fq_zech_mat_t mat, const fq_zech_ctx_t ctx)
+    void fq_zech_mat_transpose(fq_zech_mat_t B, const fq_zech_mat_t A, const fq_zech_ctx_t ctx)
     void fq_zech_mat_add(fq_zech_mat_t C, const fq_zech_mat_t A, const fq_zech_mat_t B,  const fq_zech_ctx_t ctx)
     void fq_zech_mat_sub(fq_zech_mat_t C, const fq_zech_mat_t A, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
     void fq_zech_mat_neg(fq_zech_mat_t A, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
@@ -52,19 +53,11 @@ cdef extern from "flint/fq_zech_mat.h":
     void fq_zech_mat_vec_mul(fq_zech_struct * c, const fq_zech_struct * a, slong alen, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
     void fq_zech_mat_vec_mul_ptr(fq_zech_struct * const * c, const fq_zech_struct * const * a, slong alen, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
     slong fq_zech_mat_lu(slong * P, fq_zech_mat_t A, int rank_check, const fq_zech_ctx_t ctx)
-    slong fq_zech_mat_lu_classical(slong * P, fq_zech_mat_t A, int rank_check, const fq_zech_ctx_t ctx)
-    slong fq_zech_mat_lu_recursive(slong * P, fq_zech_mat_t A, int rank_check, const fq_zech_ctx_t ctx)
     slong fq_zech_mat_rref(fq_zech_mat_t B, const fq_zech_mat_t A, const fq_zech_ctx_t ctx)
-    slong fq_zech_mat_reduce_row(fq_zech_mat_t A, slong * P, slong * L, slong n, const fq_zech_ctx_t ctx)
     void fq_zech_mat_solve_tril(fq_zech_mat_t X, const fq_zech_mat_t L, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
-    void fq_zech_mat_solve_tril_classical(fq_zech_mat_t X, const fq_zech_mat_t L, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
-    void fq_zech_mat_solve_tril_recursive(fq_zech_mat_t X, const fq_zech_mat_t L, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
     void fq_zech_mat_solve_triu(fq_zech_mat_t X, const fq_zech_mat_t U, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
-    void fq_zech_mat_solve_triu_classical(fq_zech_mat_t X, const fq_zech_mat_t U, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
-    void fq_zech_mat_solve_triu_recursive(fq_zech_mat_t X, const fq_zech_mat_t U, const fq_zech_mat_t B, int unit, const fq_zech_ctx_t ctx)
     int fq_zech_mat_solve(fq_zech_mat_t X, const fq_zech_mat_t A, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
     int fq_zech_mat_can_solve(fq_zech_mat_t X, const fq_zech_mat_t A, const fq_zech_mat_t B, const fq_zech_ctx_t ctx)
     void fq_zech_mat_similarity(fq_zech_mat_t M, slong r, fq_zech_t d, const fq_zech_ctx_t ctx)
-    void fq_zech_mat_charpoly_danilevsky(fq_zech_poly_t p, const fq_zech_mat_t M, const fq_zech_ctx_t ctx)
     void fq_zech_mat_charpoly(fq_zech_poly_t p, const fq_zech_mat_t M, const fq_zech_ctx_t ctx)
     void fq_zech_mat_minpoly(fq_zech_poly_t p, const fq_zech_mat_t M, const fq_zech_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/gr.pxd b/src/flint/flintlib/functions/gr.pxd
@@ -15,8 +15,14 @@ from flint.flintlib.types.gr cimport gr_ctx_t, gr_ptr, gr_srcptr, gr_stream_t, g
 # .. macro:: GR_TMP_CLEAR(x1, ctx)
 
 cdef extern from "flint/gr.h":
+    truth_t truth_and(truth_t x, truth_t y)
+    truth_t truth_or(truth_t x, truth_t y)
+    truth_t truth_not(truth_t x)
+    void truth_println(truth_t x)
+    truth_t gr_in_domain(int status)
+    int gr_check(truth_t t)
     slong gr_ctx_sizeof_elem(gr_ctx_t ctx)
-    int gr_ctx_clear(gr_ctx_t ctx)
+    void gr_ctx_clear(gr_ctx_t ctx)
     int gr_ctx_write(gr_stream_t out, gr_ctx_t ctx)
     int gr_ctx_print(gr_ctx_t ctx)
     int gr_ctx_println(gr_ctx_t ctx)
@@ -32,6 +38,7 @@ cdef extern from "flint/gr.h":
     gr_ptr gr_heap_init_vec(slong len, gr_ctx_t ctx)
     void gr_heap_clear_vec(gr_ptr x, slong len, gr_ctx_t ctx)
     int gr_randtest(gr_ptr res, flint_rand_t state, gr_ctx_t ctx)
+    int gr_randtest_invertible(gr_ptr res, flint_rand_t state, gr_ctx_t ctx)
     int gr_randtest_not_zero(gr_ptr res, flint_rand_t state, gr_ctx_t ctx)
     int gr_randtest_small(gr_ptr res, flint_rand_t state, gr_ctx_t ctx)
     int gr_write(gr_stream_t out, gr_srcptr x, gr_ctx_t ctx)
@@ -141,6 +148,7 @@ cdef extern from "flint/gr.h":
     int gr_rsqrt(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)
     int gr_gcd(gr_ptr res, gr_srcptr x, gr_srcptr y, gr_ctx_t ctx)
     int gr_lcm(gr_ptr res, gr_srcptr x, gr_srcptr y, gr_ctx_t ctx)
+    int gr_canonical_associate(gr_ptr res, gr_ptr u, gr_srcptr x, gr_ctx_t ctx)
     int gr_factor(gr_ptr c, gr_vec_t factors, gr_vec_t exponents, gr_srcptr x, int flags, gr_ctx_t ctx)
     int gr_numerator(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)
     int gr_denominator(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/gr_domains.pxd b/src/flint/flintlib/functions/gr_domains.pxd
@@ -69,5 +69,6 @@ cdef extern from "flint/gr.h":
     void gr_ctx_init_gr_mpoly(gr_ctx_t ctx, gr_ctx_t base_ring, slong nvars, const ordering_t ord)
     void gr_ctx_init_series_mod_gr_poly(gr_ctx_t ctx, gr_ctx_t base_ring, slong n)
     void gr_ctx_init_gr_series(gr_ctx_t ctx, gr_ctx_t base_ring, slong prec)
+    void gr_ctx_init_gr_fraction(gr_ctx_t ctx, gr_ctx_t domain, int flags)
     void gr_ctx_init_fmpz_mpoly_q(gr_ctx_t ctx, slong nvars, const ordering_t ord)
     void gr_ctx_init_fexpr(gr_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/gr_generic.pxd b/src/flint/flintlib/functions/gr_generic.pxd
@@ -1,7 +1,7 @@
 from flint.flintlib.types.flint cimport flint_rand_t, fmpz_struct, fmpz_t, slong, ulong
 from flint.flintlib.types.fmpq cimport fmpq_t
 from flint.flintlib.types.fmpz cimport fmpz_mpoly_ctx_t, fmpz_mpoly_t, fmpz_poly_t
-from flint.flintlib.types.gr cimport gr_ctx_t, gr_ptr, gr_srcptr, gr_stream_t, truth_t
+from flint.flintlib.types.gr cimport gr_ctx_t, gr_ptr, gr_srcptr, gr_stream_t, gr_vec_t, truth_t
 
 
 # .. macro :: GR_PARSE_BALANCE_ADDITIONS
@@ -24,7 +24,7 @@ cdef extern from "flint/gr_generic.h":
     void gr_generic_add(void)
     void gr_generic_sub(void)
     void gr_generic_mul(void)
-    int gr_generic_ctx_clear(gr_ctx_t ctx)
+    void gr_generic_ctx_clear(gr_ctx_t ctx)
     void gr_generic_set_shallow(gr_ptr res, gr_srcptr x, const gr_ctx_t ctx)
     int gr_generic_write_n(gr_stream_t out, gr_srcptr x, slong n, gr_ctx_t ctx)
     int gr_generic_randtest_not_zero(gr_ptr x, flint_rand_t state, gr_ctx_t ctx)
@@ -212,3 +212,4 @@ cdef extern from "flint/gr_generic.h":
     int gr_generic_scalar_other_div_vec(gr_ptr vec1, gr_srcptr c, gr_ctx_t cctx, gr_srcptr vec2, slong len, gr_ctx_t ctx)
     int gr_generic_scalar_other_divexact_vec(gr_ptr vec1, gr_srcptr c, gr_ctx_t cctx, gr_srcptr vec2, slong len, gr_ctx_t ctx)
     int gr_generic_scalar_other_pow_vec(gr_ptr vec1, gr_srcptr c, gr_ctx_t cctx, gr_srcptr vec2, slong len, gr_ctx_t ctx)
+    int gr_generic_poly_factor_roots( gr_ptr c, gr_vec_t fac, gr_vec_t mult, gr_srcptr elt, int flags, gr_ctx_t ctx)
diff --git a/src/flint/flintlib/functions/gr_mat.pxd b/src/flint/flintlib/functions/gr_mat.pxd
diff --git a/src/flint/flintlib/functions/gr_mpoly.pxd b/src/flint/flintlib/functions/gr_mpoly.pxd
diff --git a/src/flint/flintlib/functions/gr_poly.pxd b/src/flint/flintlib/functions/gr_poly.pxd
diff --git a/src/flint/flintlib/functions/gr_vec.pxd b/src/flint/flintlib/functions/gr_vec.pxd

Original file line number	Diff line number	Diff line change
`@@ -12,7 +12,7 @@ project(`
`12`	`12`	`# then we can consider not using a speculative upper version cap here.`
`13`	`13`	`#`
`14`	`14`	`flint_lower = '>=3.0'`
`15`		`-flint_upper = '<3.3'`
	`15`	`+flint_upper = '<3.4'`
`16`	`16`	`cython_lower = '>=3.0.11'`
`17`	`17`	`cython_upper = '<3.2'`
`18`	`18`