r"""
Cartesian logarithmic
=====================

**X**\ *width*\ [**l**][/*height*\ [**l**]] or
**x**\ *x-scale*\ [**l**][/*y-scale*\ [**l**]]

- **X** or **x**: Sets the projection type.
- *width* or *x-scale*: Sets the plot size.
- *height* or *y-scale*: Sets the plot height [Optional].
- **l**: Applies a logarithmic transformation to an axis. Append it after the
  corresponding size argument [Optional].
"""

# %%
import numpy as np
import pygmt
from pygmt.params import Axis, Frame

# Create a list of x-values 0-100
xline = np.arange(0, 101)
# Create a list of y-values that are the square root of the x-values
yline = xline**0.5
# Create a list of x-values for every 10 in 0-100
xpoints = np.arange(0, 101, 10)
# Create a list of y-values that are the square root of the x-values
ypoints = xpoints**0.5

fig = pygmt.Figure()
fig.basemap(
    region=[1, 100, 0, 10],
    # Set a logarithmic transformation on the x-axis
    projection="X15cl/10c",
    # Set the figure's frame and color as well as annotations, ticks, and gridlines
    frame=Frame(
        axes="WSne",
        fill="bisque",
        xaxis=Axis(annot=2, grid=3),
        yaxis=Axis(annot=2, tick=1, grid=2),
    ),
)

# Set the line thickness to "2p", the color to "black", and the style to "dashed"
fig.plot(x=xline, y=yline, pen="2p,black,dashed")

# Plot the square root values on top of the line
# Use squares with a size of 0.3 centimeters, an "orange" fill and a "black" outline
# Symbols are not clipped if they go off the figure
fig.plot(x=xpoints, y=ypoints, style="s0.3c", fill="orange", pen="black", no_clip=True)
fig.show()