From 0f63a2b6dec4ff3dc4c251e655e1e886a092af98 Mon Sep 17 00:00:00 2001
From: G Yuvan Shankar <bloomsbury220@gmail.com>
Date: Sat, 25 Dec 2021 19:32:08 +0530
Subject: [PATCH 1/3] Changed initial guess of Newtons Square Root Method

---
 include/real/real_math.hpp | 13 +++++++++++--
 1 file changed, 11 insertions(+), 2 deletions(-)

diff --git a/include/real/real_math.hpp b/include/real/real_math.hpp
index 15012a7..0811fc1 100755
--- a/include/real/real_math.hpp
+++ b/include/real/real_math.hpp
@@ -201,8 +201,17 @@ namespace boost{
                 return literals::zero_exact<T>;
             }
             
-            // initial guess
-            exact_number<T> result(x.digits, (x.exponent + 1)/2, true);
+            // initial guess using scalar estimate
+            exact_number<T> result;
+            if(x.exponent%2==0)
+            {
+                if(x.digits[0]>=1)
+                    result=exact_number<T> (std::vector<T> {6}, (x.exponent)/2, true);
+                else
+                    result=exact_number<T> (std::vector<T> {2}, (x.exponent)/2, true);
+            }
+            else
+                result=exact_number<T>(std::vector<T> {2}, (x.exponent-1)/2, true);
 
             exact_number<T> error;
             exact_number<T> max_error(std::vector<T> {1}, -max_error_exponent, true);

From 2e0d4b4a13a5c970dbc3876ec575ff07c0a50920 Mon Sep 17 00:00:00 2001
From: G Yuvan Shankar <bloomsbury220@gmail.com>
Date: Fri, 7 Jan 2022 13:42:12 +0530
Subject: [PATCH 2/3] Removed loop and replaced with simple multiplication

---
 include/real/real_math.hpp | 17 +++--------------
 1 file changed, 3 insertions(+), 14 deletions(-)

diff --git a/include/real/real_math.hpp b/include/real/real_math.hpp
index 0811fc1..314a6c2 100755
--- a/include/real/real_math.hpp
+++ b/include/real/real_math.hpp
@@ -201,17 +201,8 @@ namespace boost{
                 return literals::zero_exact<T>;
             }
             
-            // initial guess using scalar estimate
-            exact_number<T> result;
-            if(x.exponent%2==0)
-            {
-                if(x.digits[0]>=1)
-                    result=exact_number<T> (std::vector<T> {6}, (x.exponent)/2, true);
-                else
-                    result=exact_number<T> (std::vector<T> {2}, (x.exponent)/2, true);
-            }
-            else
-                result=exact_number<T>(std::vector<T> {2}, (x.exponent-1)/2, true);
+            // initial guess
+            exact_number<T> result(x.digits, (x.exponent + 1)/2, true);
 
             exact_number<T> error;
             exact_number<T> max_error(std::vector<T> {1}, -max_error_exponent, true);
@@ -369,9 +360,7 @@ namespace boost{
 				else 
 					result -= cur_term;
 				
-				for(exact_number<T> i = (two * term_number) + literals::one_exact<T> ; i <= two * (term_number + literals::one_exact<T>); i = i + literals::one_exact<T>){
-					factorial *= i;
-				}
+				factorial *=((two * term_number) + literals::one_exact<T>)*(two * (term_number + literals::one_exact<T>));
 				cur_power *= square_x;
 				cur_term = cur_power;
                 ++ term_number_int;

From 749a9c2299b775777a5caf6143d6b3070b277b38 Mon Sep 17 00:00:00 2001
From: G Yuvan Shankar <bloomsbury220@gmail.com>
Date: Tue, 11 Jan 2022 13:42:27 +0530
Subject: [PATCH 3/3] Minor changes to CML

---
 CMakeLists.txt | 22 +++++++++-------------
 1 file changed, 9 insertions(+), 13 deletions(-)

diff --git a/CMakeLists.txt b/CMakeLists.txt
index e22a2fd..643d2d3 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,29 +1,25 @@
 cmake_minimum_required(VERSION 3.8)
-project(Boost.Real)
-set (Boost.Real_VERSION_MAJOR 1)
-set (Boost.Real_VERSION_MINOR 0)
+set(_version 1.0)
+project(Boost.Real VERSION ${_version} LANGUAGES CXX)
 
 #Add coverage support to CMAKE in debug mode
-IF(CMAKE_BUILD_TYPE MATCHES Debug)
+if(CMAKE_BUILD_TYPE MATCHES Debug)
     message("debug mode adding coverage report tools and flags")
     list(APPEND CMAKE_MODULE_PATH "${CMAKE_SOURCE_DIR}/cmake-modules")
     include(CodeCoverage)
     set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS_DEBUG} -Wall -g -O0 -fsanitize=address -fno-omit-frame-pointer -fprofile-arcs -ftest-coverage")
-ENDIF(CMAKE_BUILD_TYPE MATCHES Debug)
+endif(CMAKE_BUILD_TYPE MATCHES Debug)
 
+# add Boost.Real as a 'linkable' target
+add_library(Boost.Real PUBLIC)
 # Check for standard to use
 include(CheckCXXCompilerFlag)
 check_cxx_compiler_flag(-std=c++17 HAVE_FLAG_STD_CXX17)
-if(HAVE_FLAG_STD_CXX17)
-    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -pedantic --std=c++17")
-else()
-    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -pedantic --std=c++1z")
-endif()
+target_compile_features(Boost.Real PUBLIC cxx_std_17)
+
+include_directories(include external/include)
 
-include_directories(include external/include ${Boost_INCLUDE_DIRS})
 
-# add Boost.Real as a 'linkable' target
-add_library(Boost.Real INTERFACE)
 
 #Library Headers
 add_executable(Boost.Real_headers include)