diff --git a/README.md b/README.md
index 649265a..96624e7 100755
--- a/README.md
+++ b/README.md
@@ -5,7 +5,7 @@
 [![bibcode](https://img.shields.io/badge/bibcode-2016A%26A...593A..87R-1c459b)](https://ui.adsabs.harvard.edu/abs/2016A&A...593A..87R)
 [![doi](https://img.shields.io/badge/doi-10.1051%2F0004--6361%2F201424930-fab70c)](https://doi.org/10.1051/0004-6361/201424930)
 [![License](https://img.shields.io/badge/License-GPLv3-blue)](https://www.gnu.org/licenses/gpl-3.0)
-[![Version](https://img.shields.io/badge/Version-4.12.00-bf0040)](https://img.shields.io/badge/Version-4.12.00-bf0040)
+[![Version](https://img.shields.io/badge/Version-4.12.01-bf0040)](https://img.shields.io/badge/Version-4.12.01-bf0040)
 
 is a 3D Monte Carlo radiative transfer code that
 
diff --git a/manual.pdf b/manual.pdf
index 36a8d79..7bd2809 100644
Binary files a/manual.pdf and b/manual.pdf differ
diff --git a/src/MathFunctions.h b/src/MathFunctions.h
index 3686f2b..bf2b8a0 100644
--- a/src/MathFunctions.h
+++ b/src/MathFunctions.h
@@ -2398,7 +2398,7 @@ class CMathFunctions
         // Dekker, T. J. (1969), "Finding a zero by means of successive linear interpolation", in Dejon, B.; Henrici, P. (eds.),
         //     Constructive Aspects of the Fundamental Theorem of Algebra, London: Wiley-Interscience
 
-        // Procedure returns root of function in the given interval [a, b], within tolerance 6 * EPS_DOUBLE * |x| + 2t,
+        // Procedure returns root of function in the given interval [a, b], within tolerance 6 * macheps * |x| + 2t,
         // where macheps is the relative machine precision and t is a positive tolerance.
         // This procedure assumes that f(a) and f(b) have different signs.
 
diff --git a/src/Typedefs.h b/src/Typedefs.h
index 590cba6..86564df 100644
--- a/src/Typedefs.h
+++ b/src/Typedefs.h
@@ -13,7 +13,7 @@ using namespace std;
 
 // Header and Version of POLARIS
 #define PROG_ID "POLARIS: POLArized RadIation Simulator"
-#define VERS_ID "           Version 4.12.00            "
+#define VERS_ID "           Version 4.12.01            "
 #define COPY_ID "   Copyright (C) 2018 Stefan Reissl   "
 
 // Flags to activate WINDOWS support, some DEBUG messages, BENCHMARK settings