import matplotlib.pyplot as plt
import matplotlib.patches as mpatches

fig, ax = plt.subplots(constrained_layout=False)

ax.set_xlim([0, 1.4])
ax.set_ylim([0, 2])
ax.axhline(0.5, color='C2', linewidth=0.3)
sts = ['Line', '2 Lines g\n 2nd Line g', '$\sum_i x $', 'hi $\sum_i x $\ntest', 'test\n $\sum_i x $', '$\sum_i x $\n $\sum_i x $']

for nn, st in enumerate(sts):
    tt = ax.text(0.2 * nn + 0.1, 0.5, st, horizontalalignment='center',
        verticalalignment='bottom')
    bb = tt.get_window_extent(fig.canvas.get_renderer())
    bbt = bb.inverse_transformed(ax.transAxes)
    r = mpatches.Rectangle((0,0), 1, 1, clip_on=False, transform=ax.transAxes)
    r.set_bounds(bbt.bounds)
    ax.add_patch(r)
ax.text(1.2, 0.5, 'Bottom align', color='C2')


if 1:

    ax.axhline(1.3, color='C2', linewidth=0.3)
    for nn, st in enumerate(sts):
        tt = ax.text(0.2 * nn + 0.1, 1.3, st, horizontalalignment='center',
            verticalalignment='top')
        bb = tt.get_window_extent(fig.canvas.get_renderer())
        bbt = bb.inverse_transformed(ax.transAxes)
        r = mpatches.Rectangle((0,0), 1, 1, clip_on=False, transform=ax.transAxes)
        r.set_bounds(bbt.bounds)
        ax.add_patch(r)
    ax.text(1.2, 1.3, 'Top align', color='C2')


    ax.axhline(1.8, color='C2', linewidth=0.3)
    for nn, st in enumerate(sts):
        tt = ax.text(0.2 * nn + 0.1, 1.8, st, horizontalalignment='center',
            verticalalignment='baseline')
        bb = tt.get_window_extent(fig.canvas.get_renderer())
        bbt = bb.inverse_transformed(ax.transAxes)
        r = mpatches.Rectangle((0,0), 1, 1, clip_on=False, transform=ax.transAxes)
        r.set_bounds(bbt.bounds)
        ax.add_patch(r)
    ax.text(1.2, 1.8, 'Baseline align', color='C2')


    ax.axhline(0.1, color='C2', linewidth=0.3)

    for nn, st in enumerate(sts):
        tt = ax.text(0.2 * nn + 0.1, 0.1, st, horizontalalignment='center',
            verticalalignment='bottom', rotation=20)
        bb = tt.get_window_extent(fig.canvas.get_renderer())
        bbt = bb.inverse_transformed(ax.transAxes)
        r = mpatches.Rectangle((0,0), 1, 1, clip_on=False, transform=ax.transAxes)
        r.set_bounds(bbt.bounds)
        ax.add_patch(r)
    ax.text(1.2, 0.1, 'Bot align, rot20', color='C2')


bb = tt.get_window_extent(fig.canvas.get_renderer())
bbt = bb.inverse_transformed(ax.transAxes)
r = mpatches.Rectangle((0,0), 1, 1, clip_on=False, transform=ax.transAxes)
r.set_bounds(bbt.bounds)
ax.add_patch(r)

fig.savefig('Old.png')

plt.show()