The M.O.D. Library
Ballistic Curves

This guide is intended to provide a detailed explanation of Ballistic Curves and its benefits for players who use a mouse and keyboard on video game consoles. 
Essentially, a Ballistic Curve determines how sensitive the aim reticle is to the movement of the mouse, which can help to improve precision and aiming experience when playing on a video game console with a mouse and keyboard. 
🧮 THE MATH
The mathematical function that is used to create a Ballistic Curve is known as an "acceleration curve". This curve is used to adjust the sensitivity of the aim reticle to the movement of the mouse, so that players can fine-tune the way their cursor or aim reticle moves in the game to better match their playstyle or preferences. 
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The acceleration curve maps the input values (mouse movement) to the output values (aim reticle movement) in a non-linear way. This means that small movements of the mouse result in small movements of the aim reticle, while larger movements of the mouse result in larger movements of the aim reticle. 
Additionally, some games offer different curves for different types of weapons, or for different types of movement (e.g., ADS vs. HIP). Players can also choose to create their own custom curves in Zen Studio or choose from a list of professionally made MK profiles, available here: Importing MK Profiles﻿. 
The most notable benefits of using a mouse on a console with Ballistic Curves include:
Increased Precision & Accuracy: A mouse allows for more precise aiming compared to a traditional console controller, which can be especially beneficial in first-person shooter games.
Faster Target Acquisition: With the ability to quickly and smoothly aim, players using a mouse with ballistic curves can acquire targets faster than those using a traditional controller.
More Control Over Aim: Ballistic curves give players the ability to fine-tune the way their aim behaves, allowing for a more personalized experience.
Reduced Recoil: Ballistic curves can help players mitigate the recoil of weapons in-game, making it easier to stay on target.
Increased Gaming Performance: The improved precision, target acquisition and control provided by using a mouse with ballistic curves can result in a better overall gaming performance.
﻿Cronus Advantage: By having the advantage of Cronus Zen, players can feel more confident in their abilities and play more aggressively, leading to more wins.
The Zen Studio software gives you full customization of ballistic curves, allowing sharing the full curve code with the community, or customizing each point without any coding knowledge. 
Professionally made ballistic Curve profiles are freely available to download from the main Cronus Zen User Guide.
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To put it simply, when using a mouse and keyboard on a console, Ballistic Curves can help you adjust the way your aim reticle moves in the game to better match your playstyle or preferences. For example, a player might want a more sensitive crosshair that moves quickly with small movements of the mouse, or a less sensitive crosshair that moves more slowly with larger movements of the mouse.
⚙️ GPC SCRIPT EXAMPLE
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This is what the source code of handling Ballistic Curves looks like. Note that all button labels match their corresponding buttons on other controllers. For example, if the script says XB1_RX (Right Analog Stick - Horizontal Axis), it will also press the Right Analog Stick (R3 - Horizontal Axis) on a PlayStation controller.
GPC - BALLISTIC CURVES
define NUM_POINTS = 21;		  // Total number of points
const int curve_points[] = {  // Point values higher values respond quicker and lower values respond slower
0, 		// Point 1
5, 		// Point 2
10, 	// Point 3
15, 	// Point 4
20, 	// Point 5
25, 	// Point 6
30, 	// Point 7
35, 	// Point 8
40, 	// Point 9
45, 	// Point 10
50, 	// Point 11
55, 	// Point 12
60, 	// Point 13
65, 	// Point 14
70, 	// Point 15
75, 	// Point 16
80, 	// Point 17
85, 	// Point 18
90, 	// Point 19
95, 	// Point 20
100		// Point 21
};
int input_y;
int output_y;
int input_x;
int output_x;
int output;
int index;
int lower_value;
int upper_value;

function sign(x) {
    return (x > 0) - (x < 0);
}
function map_input_to_curve_points(input) {
    return abs(input) * (NUM_POINTS - 1) / 100 * sign(input);
}
function apply_ballistic_curve(input) {
    if (input < 0) {
        input = -input;
    }
    index = map_input_to_curve_points(input);
    lower_value = curve_points[index];
    upper_value = curve_points[index + 1];
    output = lower_value + (input - index*5) * (upper_value - lower_value) / 5;
    if (input < 0) {
        output = -output;
    }
    return output;
}
main() {
        input_x = get_ival(XB1_RX);										// Get unmodified RX input
        output_x = sign(input_x) * apply_ballistic_curve(abs(input_x));	// Calculate output_x using functions "sign" and "apply_ballistic_curve"
        set_val(XB1_RX, output_x);										// Set RX output to output_x

        input_y = get_ival(XB1_RY);										// Get unmodified RY input
        output_y = sign(input_y) * apply_ballistic_curve(abs(input_y));	// Calculate output_y using functions "sign" and "apply_ballistic_curve"
        set_val(XB1_RY, output_y);										// Set RY output to output_y
        
}
define NUM_POINTS = 21;		  // Total number of points
const int curve_points[] = {  // Point values higher values respond quicker and lower values respond slower
0, 		// Point 1
5, 		// Point 2
10, 	// Point 3
15, 	// Point 4
20, 	// Point 5
25, 	// Point 6
30, 	// Point 7
35, 	// Point 8
40, 	// Point 9
45, 	// Point 10
50, 	// Point 11
55, 	// Point 12
60, 	// Point 13
65, 	// Point 14
70, 	// Point 15
75, 	// Point 16
80, 	// Point 17
85, 	// Point 18
90, 	// Point 19
95, 	// Point 20
100		// Point 21
};
int input_y;
int output_y;
int input_x;
int output_x;
int output;
int index;
int lower_value;
int upper_value;

function sign(x) {
    return (x > 0) - (x < 0);
}
function map_input_to_curve_points(input) {
    return abs(input) * (NUM_POINTS - 1) / 100 * sign(input);
}
function apply_ballistic_curve(input) {
    if (input < 0) {
        input = -input;
    }
    index = map_input_to_curve_points(input);
    lower_value = curve_points[index];
    upper_value = curve_points[index + 1];
    output = lower_value + (input - index*5) * (upper_value - lower_value) / 5;
    if (input < 0) {
        output = -output;
    }
    return output;
}
main() {
        input_x = get_ival(XB1_RX);										// Get unmodified RX input
        output_x = sign(input_x) * apply_ballistic_curve(abs(input_x));	// Calculate output_x using functions "sign" and "apply_ballistic_curve"
        set_val(XB1_RX, output_x);										// Set RX output to output_x

        input_y = get_ival(XB1_RY);										// Get unmodified RY input
        output_y = sign(input_y) * apply_ballistic_curve(abs(input_y));	// Calculate output_y using functions "sign" and "apply_ballistic_curve"
        set_val(XB1_RY, output_y);										// Set RY output to output_y
        
}
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⛔ WARNING
We would like to remind our users that the use of MODs, or modifications, may not be allowed in official tournaments or in compliance with the game's End User License Agreement (EULA). It is the user's responsibility to review the rules and regulations of a specific game or tournament prior to using any MODs, to ensure that their use is in compliance with any terms and conditions. Failure to do so may result in disqualification or violation of the game's EULA.
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