# Calculating the estimated print time of an already sliced file

I started to write an application that calculates the estimated total print time from the G-code file for an already sliced model.

The program works and it's pretty accurate.

It works as follows:

1. It scans the entire G-code file to identify all of the movements
2. It calculates the time for each move by dividing segment distance by the speed in mm/s.

Let's assume this is the G-code:

``G28 ; home all axes G1 Z0.200 F5400.000 G1 X158.878 Y27.769 E6.65594 F900.000 ``

This is the calculation it does:

``totalTime = 0 # G28 ; home all axes currentX = 0 mm currentY = 0 mm currentZ = 0 mm # G1 Z0.200 F5400.000 newZ = 0.2 mm mmPerSecond = 5400 / 60 = 90 mm/s deltaZ = newZ - currentZ = 0.2 - 0 = 0.2 mm segmentLength = deltaZ = 0.2 mm moveTime = segmentLength / mmPerSecond = 0.2 / 90 = 0.002 s totalTime = totalTime + moveTime = 0 + 0.002 = 0.002 s # G1 X158.878 Y27.769 E6.65594 F900.000 newX = 158.878 mm newY = 27.769 mm mmPerSecond = 900 / 60 = 15 mm/s deltaX = newX - currentX = 158.878 - 0 = 158.878 mm deltaY = newY - currentY = 27.769 - 0 = 27.769 mm segmentLength = square_root(deltaX² + deltaY²) = 161.287 mm moveTime = deltaZ / mmPerSecond = 161.287 / 15 = 10.755 s totalTime = totalTime + moveTime = 0.002 + 10.755 = 10.757 s ``

In this example, the print will take approximately 10.7 seconds.

More generally, the formula used is, for each movement:

``moveTime = segmentLength / mmPerSecond ``

By summing up all the move times, we have the total estimated print time.

I've seen that some forums state that the 3D print time also depends on some settings on the 3D printer, especially Acceleration X, Acceleration Y, Acceleration Z, Jerk, and Z-Jerk.

I'd like to make it possible to use those values to more accurately calculate print time; however, I don't understand how those values affect the move time:

1. How should Acceleration and Jerk be considered; and, how do they speed up or slow down the print time?
2. How should I edit my formula in order to include Acceleration and Jerk in the print time calculation?