From 12ecbe37e7fe1f68be1f9b9e69595d0baa2ee987 Mon Sep 17 00:00:00 2001
From: Sofviic <sofviic1993@gmail.com>
Date: Tue, 18 Jun 2024 13:50:50 +0300
Subject: game design document; 6 demand

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+# Demand
+
+Every tick(?TODO: specify further), a probability is sampled from [the demand equation](#the-demand-equation),
+that number is then multiplied by the [traffic coefficent](#traffic-coefficent),
+that number is then multiplied by the [demand bias](#the-demand-bias),
+that will give a probability on whether a customer will be spawned on this tick.
+
+### The Demand Equation
+$$\sin\left(3\sin\frac{\left(hour+offset\right)}{2}\right)+1$$
+```c
+demand = sin(3*sin((hour+offset)/2))+1
+```
+(always nonnegative below 2)
+
+every day the `offset` will be offset by `[-1,1]` multiplied by the [sway coefficent](#sway-coefficent).
+
+### The Demand Bias
+Demand scale starts at 0%.
+(from -50% to +50%)
+
+every day the `bias` will be offset by `[-10,10]` multiplied by the [sway coefficent](#sway-coefficent).
+(clamped to -50% & 50%).
+
+### Traffic Coefficent
+Usually 1%
+can be changed by the host.
+
+### Sway Coefficent
+Usually 50%
+can be changed by the host.
+
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