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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).
```c
offset += rand(-1,1) * sway
```

### 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%).
```c
bias += rand(-10,10) * sway
bias = clamp(bias,-50,50)
```

### Traffic Coefficent
Usually 1%
can be changed by the host.

### Sway Coefficent
Usually 50%
can be changed by the host.