first polynomial attempt

src/Makefile

@@ -1,15 +1,15 @@
 #CC=g++-4.2
-#
-#a.out: main.o SerialComm.o
-#	g++ main.o SerialComm.o -lboost_system -lboost_filesystem -lboost_serialization -lpthread -std=c++11
-#
-#main.o: main.cpp
-#	g++ -c -std=c++11 main.cpp
-#
-#SerialComm.o: SerialComm.cpp SerialComm.hpp
-#	g++ -c -std=c++11 SerialComm.cpp
+
+chess.out: functions.o
+	g++ chess.o functions.o -std=c++11
+
+chess.o: chess.cpp
+	g++ -c -std=c++11 chess.cpp
+
+functions.o: functions.cpp functions.h
+	g++ -c -std=c++11 functions.cpp
 
 default: build
 
-build:
-	g++ -o chess.out chess.cpp -std=c++11
+#build:
+#	g++ -o chess.out chess.cpp -std=c++11

src/chess.cpp

@@ -2,6 +2,7 @@
 #include <stdio.h>
 #include <string>
 #include "constants.h"
+#include "functions.h"
 
 // See constants.h for CHESS_CHARS, and DEFAULT_BOARD
 
@@ -15,4 +16,7 @@ int main(){
 		}
 		cout << endl;
 	}
+
+	cout << "poly test" << endl;
+	cout << "(1," << poly_knight_offset_x(1) << ")" << endl;
 }

src/functions.cpp

@@ -4,6 +4,7 @@
 #include <cmath>
 #include <iostream>
 #include <stdio.h>
+#include <math.h>
 
 // TODO implement functions.h functions.
 // NOTE tests will NOT run unless you implement these functions.
@@ -41,6 +42,18 @@ std::vector<Position> get_possible_moves(Position pn, std::array<PieceType, 64>
 	return pns;
 }
 
+int poly_knight_offset_x(int x) {
+       	return  -2.1500176772557799*pow(10,2)*pow(x,0) +
+	        +5.0175460279545990*pow(10,2)*pow(x,1) +
+	    	-4.3971301635198080*pow(10,2)*pow(x,2) +
+     		+1.9251081929895420*pow(10,2)*pow(x,3) +
+     		-4.6354931502296793*pow(10,1)*pow(x,4) +
+     		+6.2293079395174518*pow(10,0)*pow(x,5) +
+     		-4.3751543665888198*pow(10,1)*pow(x,6) +
+    		+1.2500918807028260*pow(10,2)*pow(x,7) +
+     		-2.2939912578846349*pow(10,8)*pow(x,8);
+}
+
 std::vector<Position> get_all_moves(Position pn, std::array<PieceType, 64> board){
 	PieceType pt = board[pn];
 	std::vector<Position> pns;

src/functions.h

@@ -1,6 +1,13 @@
 #include "constants.h"
 #include <utility>
 #include <vector>
+#include <math.h>
+
+// x offset for knight
+int poly_knight_offset_x(int x);
+
+// y offset for knight
+int poly_knight_offset_y(int y);
 
 // Convert pair of x y coordinates to Position enum member.
 // If pr contains values above 7, or below 0 it will fail with an InvalidArgument exception.