diff --git a/CHANGELOG.md b/CHANGELOG.md
index 23a1773..42789ca 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -7,6 +7,7 @@
 
 ## v0.7.4
 
+- Increase floating point precision (#5)
 - Fix a rare glitch in the lasso selection where the lasso would be drawn with a far away point
 - Smoothify lasso by lowering the min delay and min dist
 - Update 2D camera and many dev packages
diff --git a/src/point.vs b/src/point.vs
index 9841425..7a612a1 100644
--- a/src/point.vs
+++ b/src/point.vs
@@ -1,5 +1,5 @@
 const VERTEX_SHADER = `
-precision mediump float;
+precision highp float;
 
 uniform sampler2D colorTex;
 uniform float colorTexRes;
@@ -29,7 +29,7 @@ void main() {
   float stateRowIndex = floor((stateIndex + eps) / stateTexRes);
   vec2 stateTexIndex = vec2(
     (stateIndex / stateTexRes) - stateRowIndex + eps,
-    stateRowIndex / stateTexRes
+    stateRowIndex / stateTexRes + eps
   );
 
   vec4 state = texture2D(stateTex, stateTexIndex);
@@ -47,13 +47,13 @@ void main() {
   eps = 0.5 / colorTexRes;
   float colorLinearIndex = colorIndex + globalState;
   // Need to add cEps here to avoid floating point issue that can lead to
-  // dramatic changes in which color is loaded as floor(3/2.9) = 1 but
+  // dramatic changes in which color is loaded as floor(3/2.9999) = 1 but
   // floor(3/3.0001) = 0!
   float colorRowIndex = floor((colorLinearIndex + eps) / colorTexRes);
 
   vec2 colorTexIndex = vec2(
     (colorLinearIndex / colorTexRes) - colorRowIndex + eps,
-    colorRowIndex / colorTexRes
+    colorRowIndex / colorTexRes + eps
   );
 
   color = texture2D(colorTex, colorTexIndex);