Realistic Ray Tracing

Homework 1 - Monte Carlo Summation
Homework 2 - Monte Carlo Integration
Homework 3 - Macbeth Color Checker XYZ
Homework 4 - Macbeth Color Checker
Homework 5 - Cornell Box
Homework 6 - Ward BRDF
Homework 7 - Mixture Density
Homework 8 - Participating Medium
Homework 9 - Rayleigh Scattering
Homework 10 - Subsurface Scattering
Homework 11 - Dielectric Material
Homework 12 - Final Image

Homework 3 - Macbeth Color Checker XYZ

Use monte carlo integration to evaluate the XYZ values of the Macbeth color checker:
100 samples: (x,y) pairs

0.427335
0.361641
0.402994
0.355239
0.274165
0.278747
0.366633
0.441132
0.288757
0.263166
0.283612
0.366714
0.52171
0.390565
0.225787
0.202195
0.476329
0.314639
0.303476
0.216686
0.405139
0.487081
0.501782
0.424964
0.201752
0.155041
0.324706
0.489211
0.547522
0.316416
0.46905
0.465853
0.393793
0.249101
0.208611
0.286273
0.33263
0.334317
0.331149
0.332474
0.334481
0.334074
0.333927
0.33516
0.332761
0.331364
0.335631
0.330602