From 3e6111f8a41fea82a268557b40b0cdc981314816 Mon Sep 17 00:00:00 2001
From: c252 <cyrusb252@gmail.com>
Date: Wed, 7 Nov 2018 20:01:20 -0500
Subject: [PATCH 1/3] added a nim implementation of the forward euler method

---
 .../code/nim/forwardeuler.nim                 | 32 +++++++++++++++++++
 .../forward_euler_method.md                   |  2 ++
 2 files changed, 34 insertions(+)
 create mode 100644 contents/forward_euler_method/code/nim/forwardeuler.nim

diff --git a/contents/forward_euler_method/code/nim/forwardeuler.nim b/contents/forward_euler_method/code/nim/forwardeuler.nim
new file mode 100644
index 000000000..ba5fa0982
--- /dev/null
+++ b/contents/forward_euler_method/code/nim/forwardeuler.nim
@@ -0,0 +1,32 @@
+import math
+
+proc solve_euler(timestep: float, n:int): seq[float] =
+  var res = newSeq[float](n)
+  
+  res[0] = 1.0
+
+  for i in 1 .. n - 1:
+    res[i] = res[i - 1] - 3 * res[i - 1] * timestep
+
+  return res
+
+proc check(res: seq[float], timestep, threshold: float): bool =
+  var approx: bool = true;
+
+  for i in 0 .. len(res) - 1:
+    let solution: float = exp(-3.0 * float(i) * timestep)
+    if abs(res[i]) - solution > threshold:
+      echo res[i]
+      echo solution
+      approx = false
+
+  return approx
+
+const
+  timestep: float = 0.1
+  n: int = 100
+  threshold: float = 0.1
+  euler_result: seq[float] = solve_euler(timestep, n)
+  approx: bool = check(euler_result, threshold, timestep)
+
+echo approx
\ No newline at end of file
diff --git a/contents/forward_euler_method/forward_euler_method.md b/contents/forward_euler_method/forward_euler_method.md
index 843e5adc7..0ae742526 100644
--- a/contents/forward_euler_method/forward_euler_method.md
+++ b/contents/forward_euler_method/forward_euler_method.md
@@ -132,6 +132,8 @@ Full code for the visualization follows:
 [import, lang:"asm-x64"](code/asm-x64/euler.s)
 {% sample lang="java" %}
 [import, lang:"java"](code/java/ForwardEuler.java)
+{% sample lang="nim" %}
+[import, lang:"nim"](code/nim/forwardeuler.nim)
 {% endmethod %}
 
 <script>

From 5fc335bf33d33bb94533356d299320a067410a65 Mon Sep 17 00:00:00 2001
From: Eric Berquist <eric.berquist@gmail.com>
Date: Thu, 8 Nov 2018 22:12:29 -0500
Subject: [PATCH 2/3] Update
 contents/forward_euler_method/code/nim/forwardeuler.nim

Co-Authored-By: c252 <cyrusb252@gmail.com>
---
 contents/forward_euler_method/code/nim/forwardeuler.nim | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/contents/forward_euler_method/code/nim/forwardeuler.nim b/contents/forward_euler_method/code/nim/forwardeuler.nim
index ba5fa0982..4976eed0d 100644
--- a/contents/forward_euler_method/code/nim/forwardeuler.nim
+++ b/contents/forward_euler_method/code/nim/forwardeuler.nim
@@ -1,6 +1,6 @@
 import math
 
-proc solve_euler(timestep: float, n:int): seq[float] =
+proc solveEuler(timestep: float, n: int): seq[float] =
   var res = newSeq[float](n)
   
   res[0] = 1.0
@@ -29,4 +29,4 @@ const
   euler_result: seq[float] = solve_euler(timestep, n)
   approx: bool = check(euler_result, threshold, timestep)
 
-echo approx
\ No newline at end of file
+echo approx

From 267f2f35ba77a56cb54c21b1fdcea18ae079ce17 Mon Sep 17 00:00:00 2001
From: Cyrus B <cyrusb252@gmail.com>
Date: Thu, 8 Nov 2018 22:14:42 -0500
Subject: [PATCH 3/3] Update forwardeuler.nim

---
 contents/forward_euler_method/code/nim/forwardeuler.nim | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/contents/forward_euler_method/code/nim/forwardeuler.nim b/contents/forward_euler_method/code/nim/forwardeuler.nim
index 4976eed0d..6199a9b89 100644
--- a/contents/forward_euler_method/code/nim/forwardeuler.nim
+++ b/contents/forward_euler_method/code/nim/forwardeuler.nim
@@ -26,7 +26,7 @@ const
   timestep: float = 0.1
   n: int = 100
   threshold: float = 0.1
-  euler_result: seq[float] = solve_euler(timestep, n)
-  approx: bool = check(euler_result, threshold, timestep)
+  eulerResult: seq[float] = solveEuler(timestep, n)
+  approx: bool = check(eulerResult, threshold, timestep)
 
 echo approx