From d510f37b2e6c240ad6cf4311242e2ff712c7e6b6 Mon Sep 17 00:00:00 2001
From: Yingjie Wang <phywyj@gmail.com>
Date: Thu, 6 Nov 2025 21:41:37 -0500
Subject: [PATCH] update

---
 src/common.h |  2 +-
 src/init.c   | 27 +++++++++++++++++----------
 src/test.c   |  3 ++-
 3 files changed, 20 insertions(+), 12 deletions(-)

diff --git a/src/common.h b/src/common.h
index 5e6f4e8..edb0964 100644
--- a/src/common.h
+++ b/src/common.h
@@ -7,6 +7,6 @@
 #define M (0.5*Rs)
 #define R0 (15*Rs)
 #define f(r) ((1.0-Rs/((double)r)))
-#define bmin (1.5*sqrt(3.0))+1e-5
+#define bmin (1.5*sqrt(3.0)+5e-10)
 #define THETAERROR 100000
 
diff --git a/src/init.c b/src/init.c
index e23eb86..d68a381 100644
--- a/src/init.c
+++ b/src/init.c
@@ -85,7 +85,7 @@ double chi(double b){
       printf("Error: GSL driver returns %d\n", status);
       break;
     }
-    //printf("phi: %g, y[0]: %g, y[1]: %g\n",phi, y[0], y[1]);
+    printf("phi: %g, y[0]: %g, y[1]: %g\n",phi, y[0], y[1]);
   }
 
   //printf("%g, %g \n",find_root(y_previous, phi_previous),find_root(y, phi));
@@ -113,11 +113,17 @@ void sample_push(SampleData *sample, double x, double y){
 }
 
 static void refine_interval(double xl, double xr, double yl, double yr, double rela_err_limit, SampleData *sample){
+  printf("calculating interval (%g, %g)\n", xl, xr);
   double xm = (xl + xr)/2;
   double ym = chi(xm);
-  sample_push(sample, xm, ym);
-  if (fabs((ym-(yl+yr)/2)/ym) >= rela_err_limit) {
+  int need_refine = (fabs(ym-(yl+yr)/2) >= fabs(rela_err_limit * ym));
+  if (need_refine) {
+    printf(" ");
     refine_interval(xl, xm, yl, ym, rela_err_limit, sample);
+  }
+  sample_push(sample, xm, ym);
+  if (need_refine) {
+    printf(" ");
     refine_interval(xm, xr, ym, yr, rela_err_limit, sample);
   }
   return ;
@@ -125,16 +131,17 @@ static void refine_interval(double xl, double xr, double yl, double yr, double r
 
 int init(double bmax, double rela_err_limit){
   SampleData sample;
-  sample.capacity = 2;
-  sample.size=2;
-  sample.x = malloc(sizeof(double) * 2);
-  sample.y = malloc(sizeof(double) * 2);
+  sample.capacity = 1;
+  sample.size=1;
+  sample.x = malloc(sizeof(double) * 1);
+  sample.y = malloc(sizeof(double) * 1);
   sample.x[0] = bmin;
-  sample.x[1] = bmax;
   sample.y[0] = chi(bmin);
-  sample.y[1] = chi(bmax);
+  double chi_bmax = chi(bmax);
 
-  refine_interval(bmin, bmax, sample.y[0], sample.y[1], rela_err_limit, &sample);
+  refine_interval(bmin, bmax, sample.y[0], chi_bmax, rela_err_limit, &sample);
+
+  sample_push(&sample, bmax, chi_bmax);
 
   //sort
 
diff --git a/src/test.c b/src/test.c
index 1f83b9f..f3346cd 100644
--- a/src/test.c
+++ b/src/test.c
@@ -2,7 +2,8 @@
 #include "init.h"
 
 int main(){
-  init(15.0, 1e-3);
+  //init(15.0, 1e-1);
+  chi(bmin);
 
   return 0;
 }