From ad1f6d01f81eb5f050f6e670e6006de3efc263f9 Mon Sep 17 00:00:00 2001
From: Madeline Pace <madeline@cray.lgbt>
Date: Fri, 17 Dec 2021 17:35:51 -0500
Subject: [PATCH] Flat shading of spheres finished

---
 img.bmp     |  Bin 196662 -> 196662 bytes
 log.txt     | 2801 +++++++++++++++++++++++++++++++++++++++++++++++++++
 src/main.rs |   72 +-
 3 files changed, 2840 insertions(+), 33 deletions(-)
 create mode 100644 log.txt

diff --git a/img.bmp b/img.bmp
index 4db9fb7fcb9cde740a2bdcd4ef70f5301846cc39..ee491543f8f090d404fa84483382e599beef3ac0 100644
GIT binary patch
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diff --git a/log.txt b/log.txt
new file mode 100644
index 0000000..b200ac6
--- /dev/null
+++ b/log.txt
@@ -0,0 +1,2801 @@
+Camera coords: 0. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (0.00000000, 0.00000000, 0.00000000)
+l: (0.00000000, 0.00000000, 20.00000000)
+l_len: 20
+tc: 20
+d: 0
+Camera coords: 1. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (1.00000000, 0.00000000, 0.00000000)
+l: (-1.00000000, 0.00000000, 20.00000000)
+l_len: 20.024984394500787
+tc: 20
+d: NaN
+Camera coords: 2. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (2.00000000, 0.00000000, 0.00000000)
+l: (-2.00000000, 0.00000000, 20.00000000)
+l_len: 20.09975124224178
+tc: 20
+d: NaN
+Camera coords: 3. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (3.00000000, 0.00000000, 0.00000000)
+l: (-3.00000000, 0.00000000, 20.00000000)
+l_len: 20.223748416156685
+tc: 20
+d: NaN
+Camera coords: 4. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (4.00000000, 0.00000000, 0.00000000)
+l: (-4.00000000, 0.00000000, 20.00000000)
+l_len: 20.396078054371138
+tc: 20
+d: NaN
+Camera coords: 5. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (5.00000000, 0.00000000, 0.00000000)
+l: (-5.00000000, 0.00000000, 20.00000000)
+l_len: 20.615528128088304
+tc: 20
+d: NaN
+Camera coords: 6. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (6.00000000, 0.00000000, 0.00000000)
+l: (-6.00000000, 0.00000000, 20.00000000)
+l_len: 20.8806130178211
+tc: 20
+d: NaN
+Camera coords: 7. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (7.00000000, 0.00000000, 0.00000000)
+l: (-7.00000000, 0.00000000, 20.00000000)
+l_len: 21.18962010041709
+tc: 20
+d: NaN
+Camera coords: 8. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (8.00000000, 0.00000000, 0.00000000)
+l: (-8.00000000, 0.00000000, 20.00000000)
+l_len: 21.540659228538015
+tc: 20
+d: NaN
+Camera coords: 9. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (9.00000000, 0.00000000, 0.00000000)
+l: (-9.00000000, 0.00000000, 20.00000000)
+l_len: 21.93171219946131
+tc: 20
+d: NaN
+Camera coords: 10. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (10.00000000, 0.00000000, 0.00000000)
+l: (-10.00000000, 0.00000000, 20.00000000)
+l_len: 22.360679774997898
+tc: 20
+d: NaN
+Camera coords: 11. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (11.00000000, 0.00000000, 0.00000000)
+l: (-11.00000000, 0.00000000, 20.00000000)
+l_len: 22.825424421026653
+tc: 20
+d: NaN
+Camera coords: 12. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (12.00000000, 0.00000000, 0.00000000)
+l: (-12.00000000, 0.00000000, 20.00000000)
+l_len: 23.323807579381203
+tc: 20
+d: NaN
+Camera coords: 13. 0
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (13.00000000, 0.00000000, 0.00000000)
+l: (-13.00000000, 0.00000000, 20.00000000)
+l_len: 23.853720883753127
+tc: 20
+d: NaN
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+Camera coords: 6. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (6.00000000, 17.00000000, 0.00000000)
+l: (-6.00000000, -17.00000000, 20.00000000)
+l_len: 26.92582403567252
+tc: 20
+d: NaN
+Camera coords: 7. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (7.00000000, 17.00000000, 0.00000000)
+l: (-7.00000000, -17.00000000, 20.00000000)
+l_len: 27.16615541441225
+tc: 20
+d: NaN
+Camera coords: 8. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (8.00000000, 17.00000000, 0.00000000)
+l: (-8.00000000, -17.00000000, 20.00000000)
+l_len: 27.440845468024488
+tc: 20
+d: NaN
+Camera coords: 9. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (9.00000000, 17.00000000, 0.00000000)
+l: (-9.00000000, -17.00000000, 20.00000000)
+l_len: 27.748873851023216
+tc: 20
+d: NaN
+Camera coords: 10. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (10.00000000, 17.00000000, 0.00000000)
+l: (-10.00000000, -17.00000000, 20.00000000)
+l_len: 28.089143810376278
+tc: 20
+d: NaN
+Camera coords: 11. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (11.00000000, 17.00000000, 0.00000000)
+l: (-11.00000000, -17.00000000, 20.00000000)
+l_len: 28.460498941515414
+tc: 20
+d: NaN
+Camera coords: 12. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (12.00000000, 17.00000000, 0.00000000)
+l: (-12.00000000, -17.00000000, 20.00000000)
+l_len: 28.861739379323623
+tc: 20
+d: NaN
+Camera coords: 13. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (13.00000000, 17.00000000, 0.00000000)
+l: (-13.00000000, -17.00000000, 20.00000000)
+l_len: 29.29163703175362
+tc: 20
+d: NaN
+Camera coords: 14. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (14.00000000, 17.00000000, 0.00000000)
+l: (-14.00000000, -17.00000000, 20.00000000)
+l_len: 29.748949561287034
+tc: 20
+d: NaN
+Camera coords: 15. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (15.00000000, 17.00000000, 0.00000000)
+l: (-15.00000000, -17.00000000, 20.00000000)
+l_len: 30.23243291566195
+tc: 20
+d: NaN
+Camera coords: 16. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (16.00000000, 17.00000000, 0.00000000)
+l: (-16.00000000, -17.00000000, 20.00000000)
+l_len: 30.740852297878796
+tc: 20
+d: NaN
+Camera coords: 17. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (17.00000000, 17.00000000, 0.00000000)
+l: (-17.00000000, -17.00000000, 20.00000000)
+l_len: 31.272991542223778
+tc: 20
+d: NaN
+Camera coords: 18. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (18.00000000, 17.00000000, 0.00000000)
+l: (-18.00000000, -17.00000000, 20.00000000)
+l_len: 31.827660925679098
+tc: 20
+d: NaN
+Camera coords: 19. 17
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (19.00000000, 17.00000000, 0.00000000)
+l: (-19.00000000, -17.00000000, 20.00000000)
+l_len: 32.4037034920393
+tc: 20
+d: NaN
+Camera coords: 0. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (0.00000000, 18.00000000, 0.00000000)
+l: (0.00000000, -18.00000000, 20.00000000)
+l_len: 26.90724809414742
+tc: 20
+d: NaN
+Camera coords: 1. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (1.00000000, 18.00000000, 0.00000000)
+l: (-1.00000000, -18.00000000, 20.00000000)
+l_len: 26.92582403567252
+tc: 20
+d: NaN
+Camera coords: 2. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (2.00000000, 18.00000000, 0.00000000)
+l: (-2.00000000, -18.00000000, 20.00000000)
+l_len: 26.981475126464083
+tc: 20
+d: NaN
+Camera coords: 3. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (3.00000000, 18.00000000, 0.00000000)
+l: (-3.00000000, -18.00000000, 20.00000000)
+l_len: 27.073972741361768
+tc: 20
+d: NaN
+Camera coords: 4. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (4.00000000, 18.00000000, 0.00000000)
+l: (-4.00000000, -18.00000000, 20.00000000)
+l_len: 27.202941017470888
+tc: 20
+d: NaN
+Camera coords: 5. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (5.00000000, 18.00000000, 0.00000000)
+l: (-5.00000000, -18.00000000, 20.00000000)
+l_len: 27.367864366808018
+tc: 20
+d: NaN
+Camera coords: 6. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (6.00000000, 18.00000000, 0.00000000)
+l: (-6.00000000, -18.00000000, 20.00000000)
+l_len: 27.568097504180443
+tc: 20
+d: NaN
+Camera coords: 7. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (7.00000000, 18.00000000, 0.00000000)
+l: (-7.00000000, -18.00000000, 20.00000000)
+l_len: 27.80287754891569
+tc: 20
+d: NaN
+Camera coords: 8. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (8.00000000, 18.00000000, 0.00000000)
+l: (-8.00000000, -18.00000000, 20.00000000)
+l_len: 28.071337695236398
+tc: 20
+d: NaN
+Camera coords: 9. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (9.00000000, 18.00000000, 0.00000000)
+l: (-9.00000000, -18.00000000, 20.00000000)
+l_len: 28.372521918222215
+tc: 20
+d: NaN
+Camera coords: 10. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (10.00000000, 18.00000000, 0.00000000)
+l: (-10.00000000, -18.00000000, 20.00000000)
+l_len: 28.705400188814647
+tc: 20
+d: NaN
+Camera coords: 11. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (11.00000000, 18.00000000, 0.00000000)
+l: (-11.00000000, -18.00000000, 20.00000000)
+l_len: 29.068883707497267
+tc: 20
+d: NaN
+Camera coords: 12. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (12.00000000, 18.00000000, 0.00000000)
+l: (-12.00000000, -18.00000000, 20.00000000)
+l_len: 29.46183972531247
+tc: 20
+d: NaN
+Camera coords: 13. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (13.00000000, 18.00000000, 0.00000000)
+l: (-13.00000000, -18.00000000, 20.00000000)
+l_len: 29.88310559496787
+tc: 20
+d: NaN
+Camera coords: 14. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (14.00000000, 18.00000000, 0.00000000)
+l: (-14.00000000, -18.00000000, 20.00000000)
+l_len: 30.331501776206203
+tc: 20
+d: NaN
+Camera coords: 15. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (15.00000000, 18.00000000, 0.00000000)
+l: (-15.00000000, -18.00000000, 20.00000000)
+l_len: 30.805843601498726
+tc: 20
+d: NaN
+Camera coords: 16. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (16.00000000, 18.00000000, 0.00000000)
+l: (-16.00000000, -18.00000000, 20.00000000)
+l_len: 31.304951684997057
+tc: 20
+d: NaN
+Camera coords: 17. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (17.00000000, 18.00000000, 0.00000000)
+l: (-17.00000000, -18.00000000, 20.00000000)
+l_len: 31.827660925679098
+tc: 20
+d: NaN
+Camera coords: 18. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (18.00000000, 18.00000000, 0.00000000)
+l: (-18.00000000, -18.00000000, 20.00000000)
+l_len: 32.37282811247729
+tc: 20
+d: NaN
+Camera coords: 19. 18
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (19.00000000, 18.00000000, 0.00000000)
+l: (-19.00000000, -18.00000000, 20.00000000)
+l_len: 32.93933818400121
+tc: 20
+d: NaN
+Camera coords: 0. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (0.00000000, 19.00000000, 0.00000000)
+l: (0.00000000, -19.00000000, 20.00000000)
+l_len: 27.586228448267445
+tc: 20
+d: NaN
+Camera coords: 1. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (1.00000000, 19.00000000, 0.00000000)
+l: (-1.00000000, -19.00000000, 20.00000000)
+l_len: 27.60434748368452
+tc: 20
+d: NaN
+Camera coords: 2. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (2.00000000, 19.00000000, 0.00000000)
+l: (-2.00000000, -19.00000000, 20.00000000)
+l_len: 27.65863337187866
+tc: 20
+d: NaN
+Camera coords: 3. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (3.00000000, 19.00000000, 0.00000000)
+l: (-3.00000000, -19.00000000, 20.00000000)
+l_len: 27.748873851023216
+tc: 20
+d: NaN
+Camera coords: 4. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (4.00000000, 19.00000000, 0.00000000)
+l: (-4.00000000, -19.00000000, 20.00000000)
+l_len: 27.874719729532707
+tc: 20
+d: NaN
+Camera coords: 5. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (5.00000000, 19.00000000, 0.00000000)
+l: (-5.00000000, -19.00000000, 20.00000000)
+l_len: 28.035691537752374
+tc: 20
+d: NaN
+Camera coords: 6. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (6.00000000, 19.00000000, 0.00000000)
+l: (-6.00000000, -19.00000000, 20.00000000)
+l_len: 28.231188426986208
+tc: 20
+d: NaN
+Camera coords: 7. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (7.00000000, 19.00000000, 0.00000000)
+l: (-7.00000000, -19.00000000, 20.00000000)
+l_len: 28.460498941515414
+tc: 20
+d: NaN
+Camera coords: 8. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (8.00000000, 19.00000000, 0.00000000)
+l: (-8.00000000, -19.00000000, 20.00000000)
+l_len: 28.722813232690143
+tc: 20
+d: NaN
+Camera coords: 9. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (9.00000000, 19.00000000, 0.00000000)
+l: (-9.00000000, -19.00000000, 20.00000000)
+l_len: 29.017236257093817
+tc: 20
+d: NaN
+Camera coords: 10. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (10.00000000, 19.00000000, 0.00000000)
+l: (-10.00000000, -19.00000000, 20.00000000)
+l_len: 29.34280150224242
+tc: 20
+d: NaN
+Camera coords: 11. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (11.00000000, 19.00000000, 0.00000000)
+l: (-11.00000000, -19.00000000, 20.00000000)
+l_len: 29.698484809834994
+tc: 20
+d: NaN
+Camera coords: 12. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (12.00000000, 19.00000000, 0.00000000)
+l: (-12.00000000, -19.00000000, 20.00000000)
+l_len: 30.083217912982647
+tc: 20
+d: NaN
+Camera coords: 13. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (13.00000000, 19.00000000, 0.00000000)
+l: (-13.00000000, -19.00000000, 20.00000000)
+l_len: 30.495901363953813
+tc: 20
+d: NaN
+Camera coords: 14. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (14.00000000, 19.00000000, 0.00000000)
+l: (-14.00000000, -19.00000000, 20.00000000)
+l_len: 30.93541659651604
+tc: 20
+d: NaN
+Camera coords: 15. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (15.00000000, 19.00000000, 0.00000000)
+l: (-15.00000000, -19.00000000, 20.00000000)
+l_len: 31.400636936215164
+tc: 20
+d: NaN
+Camera coords: 16. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (16.00000000, 19.00000000, 0.00000000)
+l: (-16.00000000, -19.00000000, 20.00000000)
+l_len: 31.89043743820395
+tc: 20
+d: NaN
+Camera coords: 17. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (17.00000000, 19.00000000, 0.00000000)
+l: (-17.00000000, -19.00000000, 20.00000000)
+l_len: 32.4037034920393
+tc: 20
+d: NaN
+Camera coords: 18. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (18.00000000, 19.00000000, 0.00000000)
+l: (-18.00000000, -19.00000000, 20.00000000)
+l_len: 32.93933818400121
+tc: 20
+d: NaN
+Camera coords: 19. 19
+self.pos: (0.00000000, 0.00000000, 20.00000000)
+primary_ray.pos: (19.00000000, 19.00000000, 0.00000000)
+l: (-19.00000000, -19.00000000, 20.00000000)
+l_len: 33.49626844888845
+tc: 20
+d: NaN
+Result: (0.00000000, 1.25000000, 4.00000000)
diff --git a/src/main.rs b/src/main.rs
index 7a41d60..75b091b 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -4,36 +4,35 @@ use std::mem;
 extern crate bmp;
 extern crate nalgebra;
 
-use nalgebra::Pnt3;
-use nalgebra::Vec3;
+use nalgebra::*;
 use bmp::Image;
 use bmp::Pixel;
 
 struct Ray {
-  pos: nalgebra::Pnt3<f64>,
-  dir: nalgebra::Vec3<f64>
+  pos: Vec3<f64>,
+  dir: Vec3<f64>
 }
 
 impl Ray {
-  fn new(pos: nalgebra::Pnt3<f64>, dir: nalgebra::Vec3<f64>) -> Ray {
+  fn new(pos: Vec3<f64>, dir: Vec3<f64>) -> Ray {
     Ray {
       pos: pos,
       dir: dir
     }
   }
 
-  fn at(&self, t: f64) -> Pnt3<f64> {
+  fn at(&self, t: f64) -> Vec3<f64> {
     self.pos + t * self.dir
   }
 }
 
 struct OrthoCamera {
-  pos: nalgebra::Pnt3<f64>,
+  pos: Vec3<f64>,
   plane: bmp::Image
 }
 
 impl OrthoCamera {
-  fn new(pos: nalgebra::Pnt3<f64>) -> OrthoCamera {
+  fn new(pos: Vec3<f64>) -> OrthoCamera {
     OrthoCamera {
       pos: pos,
       plane: Image::new(256,256)
@@ -42,59 +41,66 @@ impl OrthoCamera {
 }
 
 struct Sphere {
-  pos: nalgebra::Pnt3<f64>,
+  pos: Vec3<f64>,
   radius: f64
 }
 
 impl Sphere {
-  fn new(pos: nalgebra::Pnt3<f64>, radius: f64) -> Sphere {
+  fn new(pos: Vec3<f64>, radius: f64) -> Sphere {
     Sphere {
       pos: pos,
       radius: radius
     }
   }
 
-  fn intersection(primary_ray: Ray) -> Vec3<f64> {
-    let t0: f64;
-    let t1: f64;
+  // Implemented from
+  // http://kylehalladay.com/blog/tutorial/math/2013/12/24/Ray-Sphere-Intersection.html
+  fn intersection(&self, primary_ray: Ray, t1: &mut f64, t2: &mut f64) -> bool {
+    let l = self.pos - primary_ray.pos;
+    let tc = dot(&l, &primary_ray.dir);
 
-    let center = Vec3::new(pos);
-
-    return center;
-  }
-
-  fn solve_quadratic(a: f64, b: f64, c: f64, x0: &mut f64, x1: &mut f64) -> bool {
-    let discr: f64 = b * b - 4.0 * a * c;
-    if discr < 0.0 {
+    if tc < 0.0 { 
       return false;
-    } else if discr == 0.0 {
-      *x0 = - 0.5 * b / a;
-      *x1 = - 0.5 * b / a;
-    } else {
-      let q: f64 = if b > 0.0 { -0.5 * (b + f64::sqrt(discr)) } else { -0.5 * (b - f64::sqrt(discr)) };
-      *x0 = q / a;
-      *x1 = c / q;
     }
-    if x0 > x1 { mem::swap(x0, x1); }
+
+    let d = f64::sqrt((l.norm() * l.norm()) as f64 - (tc*tc));
+
+    if d > self.radius { return false };
+
+    let t1c = f64::sqrt(f64::powf(self.radius, 2.0) - f64::powf(d, 2.0));
+    *t1 = tc - t1c;
+    *t2 = tc + t1c;
+
     return true;
   }
 }
 
 fn main() {
-  let mut camera = OrthoCamera::new(Pnt3::new(0.0, 0.0, 0.0));
+  let mut camera = OrthoCamera::new(Vec3::new(0.0, 0.0, 0.0));
   let mut spheres = Vec::new();
 
-  spheres.push(Sphere::new(Pnt3::new(0.0, 0.0, 20.0), 5.0));
+  spheres.push(Sphere::new(Vec3::new(100.0, 100.0, 50.0), 25.0));
 
   for (x, y) in camera.plane.coordinates() {
-    camera.plane.set_pixel(x, y, px!(x, y, 200));
+    println!("Camera coords: {}. {}", x, y);
+    for sphere in &spheres {
+      let ray = Ray::new(Vec3::new(x as f64, y as f64, camera.pos.z as f64), Vec3::new(0.0, 0.0, 1.0));
+      let mut t1 = 0.0;
+      let mut t2 = 0.0;
+      let result = sphere.intersection(ray, &mut t1, &mut t2);
+      if result == true {
+        camera.plane.set_pixel(x, y, px!(255, 255, 255));
+      } else {
+        camera.plane.set_pixel(x, y, px!(0, 0, 0));
+      }
+    }
   }
 
   let _ = camera.plane.save("img.bmp");
 
 
   // Testing rays
-  let ray = Ray::new(Pnt3::new(0.0, 0.0, 0.0), Vec3::new(0.0, 0.25, 0.8));
+  let ray = Ray::new(Vec3::new(0.0, 0.0, 0.0), Vec3::new(0.0, 0.25, 0.8));
 
   let result = ray.at(5.0);