From 0f0d3c8b39784f5ce2c477e09b2e207fcee11255 Mon Sep 17 00:00:00 2001
From: Marc Mezzarobba <marc@mezzarobba.net>
Date: Sat, 13 Jan 2018 20:13:55 +0100
Subject: [PATCH] legendre_p_ui_root: simplify failure test

as a micro-optimization, because the call to arb_contains could be
comparatively costly for small n
---
 arb_hypgeom/legendre_p_ui_root.c | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/arb_hypgeom/legendre_p_ui_root.c b/arb_hypgeom/legendre_p_ui_root.c
index c550e38a..ba82e2cf 100644
--- a/arb_hypgeom/legendre_p_ui_root.c
+++ b/arb_hypgeom/legendre_p_ui_root.c
@@ -203,7 +203,7 @@ arb_hypgeom_legendre_p_ui_root(arb_t res, arb_t weight, ulong n, ulong k, slong
             arb_div(t, t, u, wp);
             arb_sub(v, v, t, wp);
 
-            if (!arb_contains(v0, v))
+            if (mag_cmp(arb_radref(v), arb_radref(res)) >= 0)
             {
                 /* flint_printf("unexpected Newton iteration failure...\n"); */
                 break;