# heatmap

```
heatmap(x, y, matrix)
heatmap(x, y, func)
heatmap(matrix)
heatmap(xvector, yvector, zvector)
```

Plots a heatmap as a collection of rectangles. `x`

and `y`

can either be of length `i`

and `j`

where `(i, j)`

is `size(matrix)`

, in this case the rectangles will be placed around these grid points like voronoi cells. Note that for irregularly spaced `x`

and `y`

, the points specified by them are not centered within the resulting rectangles.

`x`

and `y`

can also be of length `i+1`

and `j+1`

, in this case they are interpreted as the edges of the rectangles.

Colors of the rectangles are derived from `matrix[i, j]`

. The third argument may also be a `Function`

(i, j) -> v which is then evaluated over the grid spanned by `x`

and `y`

.

Another allowed form is using three vectors `xvector`

, `yvector`

and `zvector`

. In this case it is assumed that no pair of elements `x`

and `y`

exists twice. Pairs that are missing from the resulting grid will be treated as if `zvector`

had a `NaN`

element at that position.

If `x`

and `y`

are omitted with a matrix argument, they default to `x, y = axes(matrix)`

.

Note that `heatmap`

is slower to render than `image`

so `image`

should be preferred for large, regularly spaced grids.

## Attributes

### Specific to `Heatmap`

`interpolate::Bool = false`

sets whether colors should be interpolated.

### Color attributes

`colormap::Union{Symbol, Vector{<:Colorant}} = :viridis`

sets the colormap that is sampled for numeric`color`

s.`PlotUtils.cgrad(...)`

,`Makie.Reverse(any_colormap)`

can be used as well, or any symbol from ColorBrewer or PlotUtils. To see all available color gradients, you can call`Makie.available_gradients()`

.`colorscale::Function = identity`

color transform function. Can be any function, but only works well together with`Colorbar`

for`identity`

,`log`

,`log2`

,`log10`

,`sqrt`

,`logit`

,`Makie.pseudolog10`

and`Makie.Symlog10`

.`colorrange::Tuple{<:Real, <:Real}`

sets the values representing the start and end points of`colormap`

.`nan_color::Union{Symbol, <:Colorant} = RGBAf(0,0,0,0)`

sets a replacement color for`color = NaN`

.`lowclip::Union{Nothing, Symbol, <:Colorant} = nothing`

sets a color for any value below the colorrange.`highclip::Union{Nothing, Symbol, <:Colorant} = nothing`

sets a color for any value above the colorrange.`alpha = 1.0`

sets the alpha value of the colormap or color attribute. Multiple alphas like in`plot(alpha=0.2, color=(:red, 0.5)`

, will get multiplied.

### Generic attributes

`visible::Bool = true`

sets whether the plot will be rendered or not.`overdraw::Bool = false`

sets whether the plot will draw over other plots. This specifically means ignoring depth checks in GL backends.`transparency::Bool = false`

adjusts how the plot deals with transparency. In GLMakie`transparency = true`

results in using Order Independent Transparency.`fxaa::Bool = true`

adjusts whether the plot is rendered with fxaa (anti-aliasing).`inspectable::Bool = true`

sets whether this plot should be seen by`DataInspector`

.`depth_shift::Float32 = 0f0`

adjusts the depth value of a plot after all other transformations, i.e. in clip space, where`0 <= depth <= 1`

. This only applies to GLMakie and WGLMakie and can be used to adjust render order (like a tunable overdraw).`model::Makie.Mat4f`

sets a model matrix for the plot. This replaces adjustments made with`translate!`

,`rotate!`

and`scale!`

.`space::Symbol = :data`

sets the transformation space for box encompassing the volume plot. See`Makie.spaces()`

for possible inputs.

## Examples

### Two vectors and a matrix

In this example, `x`

and `y`

specify the points around which the heatmap cells are placed.

```
using CairoMakie
f = Figure()
ax = Axis(f[1, 1])
centers_x = 1:5
centers_y = 6:10
data = reshape(1:25, 5, 5)
heatmap!(ax, centers_x, centers_y, data)
scatter!(ax, [(x, y) for x in centers_x for y in centers_y], color=:white, strokecolor=:black, strokewidth=1)
f
```

The same approach works for irregularly spaced cells. Note how the rectangles are not centered around the points, because the boundaries are between adjacent points like voronoi cells.

```
using CairoMakie
f = Figure()
ax = Axis(f[1, 1])
centers_x = [1, 2, 4, 7, 11]
centers_y = [6, 7, 9, 12, 16]
data = reshape(1:25, 5, 5)
heatmap!(ax, centers_x, centers_y, data)
scatter!(ax, [(x, y) for x in centers_x for y in centers_y], color=:white, strokecolor=:black, strokewidth=1)
f
```

If we add one more element to `x`

and `y`

, they now specify the edges of the rectangular cells. Here's a regular grid:

```
using CairoMakie
f = Figure()
ax = Axis(f[1, 1])
edges_x = 1:6
edges_y = 7:12
data = reshape(1:25, 5, 5)
heatmap!(ax, edges_x, edges_y, data)
scatter!(ax, [(x, y) for x in edges_x for y in edges_y], color=:white, strokecolor=:black, strokewidth=1)
f
```

We can do the same with an irregular grid as well:

```
using CairoMakie
f = Figure()
ax = Axis(f[1, 1])
borders_x = [1, 2, 4, 7, 11, 16]
borders_y = [6, 7, 9, 12, 16, 21]
data = reshape(1:25, 5, 5)
heatmap!(ax, borders_x, borders_y, data)
scatter!(ax, [(x, y) for x in borders_x for y in borders_y], color=:white, strokecolor=:black, strokewidth=1)
f
```

### Using a `Function`

instead of a `Matrix`

When using a `Function`

of the form `(i, j) -> v`

as the `values`

argument, it is evaluated over the grid spanned by `x`

and `y`

.

```
using CairoMakie
function mandelbrot(x, y)
z = c = x + y*im
for i in 1:30.0; abs(z) > 2 && return i; z = z^2 + c; end; 0
end
heatmap(-2:0.001:1, -1.1:0.001:1.1, mandelbrot,
colormap = Reverse(:deep))
```

### Three vectors

There must be no duplicate combinations of x and y, but it is allowed to leave out values.

```
using CairoMakie
xs = [1, 2, 3, 1, 2, 3, 1, 2, 3]
ys = [1, 1, 1, 2, 2, 2, 3, 3, 3]
zs = [1, 2, 3, 4, 5, 6, 7, 8, NaN]
heatmap(xs, ys, zs)
```

### Colorbar for single heatmap

To get a scale for what the colors represent, add a colorbar. The colorbar is placed within the figure in the first argument, and the scale and colormap can be conveniently set by passing the relevant heatmap to it.

```
using CairoMakie
xs = range(0, 2π, length=100)
ys = range(0, 2π, length=100)
zs = [sin(x*y) for x in xs, y in ys]
fig, ax, hm = heatmap(xs, ys, zs)
Colorbar(fig[:, end+1], hm)
fig
```

### Colorbar for multiple heatmaps

When there are several heatmaps in a single figure, it can be useful to have a single colorbar represent all of them. It is important to then have synchronized scales and colormaps for the heatmaps and colorbar. This is done by setting the colorrange explicitly, so that it is independent of the data shown by that particular heatmap.

Since the heatmaps in the example below have the same colorrange and colormap, any of them can be passed to `Colorbar`

to give the colorbar the same attributes. Alternativly, the colorbar attributes can be set explicitly.

```
using CairoMakie
xs = range(0, 2π, length=100)
ys = range(0, 2π, length=100)
zs1 = [sin(x*y) for x in xs, y in ys]
zs2 = [2sin(x*y) for x in xs, y in ys]
joint_limits = (-2, 2) # here we pick the limits manually for simplicity instead of computing them
fig, ax1, hm1 = heatmap(xs, ys, zs1, colorrange = joint_limits)
ax2, hm2 = heatmap(fig[1, end+1], xs, ys, zs2, colorrange = joint_limits)
Colorbar(fig[:, end+1], hm1) # These three
Colorbar(fig[:, end+1], hm2) # colorbars are
Colorbar(fig[:, end+1], colorrange = joint_limits) # equivalent
fig
```

### Using a custom colorscale

One can define a custom (color)scale using the `ReversibleScale`

type. When the transformation is simple enough (`log`

, `sqrt`

, ...), the inverse transform is automatically deduced.

```
using CairoMakie
x = 10.0.^(1:0.1:4)
y = 1.0:0.1:5.0
z = broadcast((x, y) -> x - 10, x, y')
scale = ReversibleScale(x -> asinh(x / 2) / log(10), x -> 2sinh(log(10) * x))
fig, ax, hm = heatmap(x, y, z; colorscale = scale, axis = (; xscale = scale))
Colorbar(fig[1, 2], hm)
fig
```

These docs were autogenerated using Makie: v0.20.8, GLMakie: v0.9.9, CairoMakie: v0.11.9, WGLMakie: v0.9.8