From 3183619c455b7e3ca2e365ffdf6ee50988d8c3c5 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 9 Dec 2021 14:49:07 +0100
Subject: Now looks for Stokes lines at an increasing radius from a small
 initial radius, independant of N.

---
 collectStokesData.hpp | 7 +++++--
 mixedStokes.cpp       | 6 +++---
 pureStokes.cpp        | 6 +++---
 3 files changed, 11 insertions(+), 8 deletions(-)

diff --git a/collectStokesData.hpp b/collectStokesData.hpp
index b48c6bc..8b85d6b 100644
--- a/collectStokesData.hpp
+++ b/collectStokesData.hpp
@@ -5,7 +5,7 @@
 using Complex = std::complex<Real>;
 
 template<int ...ps, class Generator, typename... T>
-void collectStokesData(std::string tag, unsigned N, Generator& r, Real ε, Real δz, bool minimum, T... μs) {
+void collectStokesData(std::string tag, unsigned N, Generator& r, Real ε, Real δz₀, bool minimum, T... μs) {
   unsigned nIts = 5;
   unsigned nGs = 4;
   unsigned coDim = 16;
@@ -38,9 +38,12 @@ void collectStokesData(std::string tag, unsigned N, Generator& r, Real ε, Real
 
   Vector<Complex> zSaddle = zMin;
 
+  Real δz = δz₀;
+
   while ((zSaddle - zMin).norm() < newSaddleThres * N || abs(imag(M.getHamiltonian(zSaddle))) < 1e-10) {
-    Vector<Complex> z0 = normalize(zSaddle + N * δz * randomVector<Complex>(N, d, r));
+    Vector<Complex> z0 = normalize(zSaddle + δz * randomVector<Complex>(N, d, r));
     zSaddle = findSaddle(M, z0, ε);
+    δz₀ *= 1.01;
   }
 
   Complex Hz;
diff --git a/mixedStokes.cpp b/mixedStokes.cpp
index 09a75b2..a437ff3 100644
--- a/mixedStokes.cpp
+++ b/mixedStokes.cpp
@@ -13,7 +13,7 @@ int main(int argc, char* argv[]) {
   unsigned N = 10; // number of spins
   // simulation parameters
   Real ε = 1e-15;
-  Real δ = 1;
+  Real δz₀ = 1e-3;
   unsigned n = 10;
   bool useMinima = false;
 
@@ -28,7 +28,7 @@ int main(int argc, char* argv[]) {
       ε = atof(optarg);
       break;
     case 'd':
-      δ = atof(optarg);
+      δz₀ = atof(optarg);
       break;
     case 'n':
       n = atof(optarg);
@@ -45,7 +45,7 @@ int main(int argc, char* argv[]) {
 
   for (unsigned i = 0; i < n; i++) {
     auto tag = std::chrono::high_resolution_clock::now();
-    collectStokesData<2, 4>(std::to_string(tag.time_since_epoch().count()), N, r.engine(), ε, δ, useMinima, 1.0, 0.01);
+    collectStokesData<2, 4>(std::to_string(tag.time_since_epoch().count()), N, r.engine(), ε, δz₀, useMinima, 1.0, 0.01);
   }
 
   return 0;
diff --git a/pureStokes.cpp b/pureStokes.cpp
index a07dbbc..448d5ef 100644
--- a/pureStokes.cpp
+++ b/pureStokes.cpp
@@ -13,7 +13,7 @@ int main(int argc, char* argv[]) {
   unsigned N = 10; // number of spins
   // simulation parameters
   Real ε = 1e-15;
-  Real δ = 1;
+  Real δz₀ = 1e-3;
   unsigned n = 10;
   bool useMinima = false;
 
@@ -28,7 +28,7 @@ int main(int argc, char* argv[]) {
       ε = atof(optarg);
       break;
     case 'd':
-      δ = atof(optarg);
+      δz₀ = atof(optarg);
       break;
     case 'n':
       n = atof(optarg);
@@ -45,7 +45,7 @@ int main(int argc, char* argv[]) {
 
   for (unsigned i = 0; i < n; i++) {
     auto tag = std::chrono::high_resolution_clock::now();
-    collectStokesData<3>(std::to_string(tag.time_since_epoch().count()), N, r.engine(), ε, δ, useMinima, 1.0);
+    collectStokesData<3>(std::to_string(tag.time_since_epoch().count()), N, r.engine(), ε, δz₀, useMinima, 1.0);
   }
 
   return 0;
-- 
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