File: util_config.py

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from __future__ import annotations

from abc import abstractmethod
from enum import Enum
import io
from typing import TYPE_CHECKING, Any, Literal, cast

import matplotlib.pyplot as plt
import numpy as np

from contourpy import FillType, LineType, contour_generator

if TYPE_CHECKING:
    from collections.abc import Sequence

    from matplotlib.axes import Axes
    from matplotlib.figure import Figure

    from contourpy._contourpy import (
        CoordinateArray,
        FillReturn_OuterCode,
        LineReturn_SeparateCode,
        MaskArray,
    )


class PointType(Enum):
    CORNER = 0
    LOWER = 1
    UPPER = 2


class Corner(Enum):
    NW = 1
    NE = 0
    SW = 3
    SE = 2


class Config:
    corner_mask: bool
    name: str
    quad_as_tri: bool
    show_text: bool

    arrowsize: float
    axes: Sequence[Axes]  # Set in derived classes.
    axes_index: int
    fill_alpha: float
    fig: Figure | None  # Set in derived classes.
    fontsize: float
    gap: float
    grid_kwargs: dict[str, Any]
    mask: MaskArray | Literal[False]
    marker_size: float
    text_gap: float
    title_fontsize: float
    x: CoordinateArray
    y: CoordinateArray

    def __init__(
        self, name: str, corner_mask: bool, quad_as_tri: bool, show_text: bool,
    ) -> None:
        self.name = name
        self.corner_mask = corner_mask
        self.quad_as_tri = quad_as_tri
        self.show_text = show_text

        self.arrowsize = 0.1
        self.fontsize = 8
        self.title_fontsize = 8
        self.marker_size = 3.5
        self.gap = 0.1
        self.text_gap = self.gap/2
        self.grid_kwargs = {"color": "gray", "linewidth": 0.35}
        self.fill_alpha = 0.2

        self.x, self.y = np.meshgrid([0.0, 1.0], [0.0, 1.0])
        self.mask = False

        import matplotlib as mpl
        mpl.use("Agg")

    def __del__(self) -> None:
        self.clear()

    def _arrow(
        self, ax: Axes, line_start: CoordinateArray, line_end: CoordinateArray, color: str,
    ) -> None:
        mid = 0.5*(line_start + line_end)
        along = line_end - line_start
        along /= np.sqrt(np.dot(along, along))  # Unit vector.
        right = np.asarray((along[1], -along[0]))
        arrow = np.stack((
            mid - (along*0.5 - right)*self.arrowsize,
            mid + along*0.5*self.arrowsize,
            mid - (along*0.5 + right)*self.arrowsize))
        ax.plot(arrow[:, 0], arrow[:, 1], "-", c=color)

    @abstractmethod
    def _decode_config(self, config: int, corner: Corner | None = None) -> tuple[int | None, ...]:
        pass

    @abstractmethod
    def _quad_lines(
        self,
        ax: Axes,
        z: np.ma.MaskedArray[Any, Any],
        zlower: float,
        zupper: float,
        corner: Corner | None,
    ) -> None:
        pass

    def _next_quad(
        self,
        config: int,
        corner: Corner | None = None,
        suffix: str = "",
        set_0: float = 0,
        set_1: float = 1,
        set_2: float = 2,
    ) -> None:
        zlower = 0.5
        zupper = 1.5

        ax = self.axes[self.axes_index]
        nw, ne, sw, se = self._decode_config(config, corner)

        # Quad edge.
        ax.axis("off")
        if corner is None:
            ax.plot([0, 1, 1, 0, 0], [0, 0, 1, 1, 0], **self.grid_kwargs)
            if self.quad_as_tri and not nw == ne == sw == se:
                ax.plot([0, 1], [0, 1], [0, 1], [1, 0], **self.grid_kwargs)
            title = f"{nw}{ne}{sw}{se}={config}{suffix}"
        elif corner == Corner.NW:
            ax.plot([0, 1, 0, 0], [0, 1, 1, 0], **self.grid_kwargs)
            title = f"{nw}{ne}{sw}={config}{suffix}"
        elif corner == Corner.NE:
            ax.plot([1, 1, 0, 1], [0, 1, 1, 0], **self.grid_kwargs)
            title = f"{nw}{ne}{se}={config}{suffix}"
        elif corner == Corner.SW:
            ax.plot([0, 1, 0, 0], [0, 0, 1, 0], **self.grid_kwargs)
            title = f"{nw}{sw}{se}={config}{suffix}"
        elif corner == Corner.SE:
            ax.plot([0, 1, 1, 0], [0, 0, 1, 0], **self.grid_kwargs)
            title = f"{ne}{sw}{se}={config}{suffix}"
        else:
            raise RuntimeError("Invalid corner")

        if self.show_text:
            ax.set_title(title, size=self.title_fontsize)

        # Axes bounds include gap for arrows and corner points.
        ax.set_xlim(-self.gap, 1.0+self.gap)
        ax.set_ylim(-self.gap, 1.0+self.gap)

        if self.show_text:
            # Text for corner and optional middle z-levels.
            fontsize = self.fontsize
            if corner != Corner.NW:
                ax.text(1+self.text_gap, 0, str(se), va="center", size=fontsize, ha="left")
            if corner != Corner.SW:
                ax.text(1+self.text_gap, 1, str(ne), va="center", size=fontsize, ha="left")
            if corner != Corner.NE:
                ax.text(-self.text_gap, 0, str(sw), va="center", size=fontsize, ha="right")
            if corner != Corner.SE:
                ax.text(-self.text_gap, 1, str(nw), va="center", size=fontsize, ha="right")
            if suffix:  # Suffix (without brackets) is the z-level of quad middle.
                ax.text(0.5, 0.5, suffix[1:-1], va="center", size=fontsize, ha="center")

        lookup = {0: set_0, 1: set_1, 2: set_2, None: None}
        z_nw = lookup[nw]
        z_ne = lookup[ne]
        z_sw = lookup[sw]
        z_se = lookup[se]

        z = np.asarray([[z_sw, z_se], [z_nw, z_ne]], dtype=np.float64)
        z_masked = np.ma.array(z, mask=self.mask)  # type: ignore[no-untyped-call]

        if suffix:
            zmean = z.mean()
            if suffix == "(0)":
                if zmean > zlower:
                    raise RuntimeError(
                        f"Inconsistent zlower {zlower} for config {config}{suffix} with middle_z "
                        f"{zmean}")
            elif suffix in ["(1)", "(>0)", "(<2)"]:
                if zmean < zlower:
                    raise RuntimeError(
                        f"Inconsistent zlower {zlower} for config {config}{suffix} with middle_z "
                        f"{zmean}")
                elif zmean > zupper:
                    raise RuntimeError(
                        f"Inconsistent zupper {zupper} for config {config}{suffix} with middle_z "
                        f"{zmean}")
            elif suffix == "(2)":
                if zmean < zupper:
                    raise RuntimeError(
                        f"Inconsistent zupper {zupper} for config {config}{suffix} with middle_z "
                        f"{zmean}")
            else:
                raise RuntimeError(f"Unexpected suffix {suffix} for config {config}")

        self._quad_lines(ax, z_masked, zlower, zupper, corner)
        self.axes_index += 1

    def _set_mask(self, corner: Corner | None) -> None:
        if corner is None:
            self.mask = False
        else:
            self.mask = np.zeros(4, dtype=bool)
            self.mask[corner.value] = True
            self.mask.reshape((2, 2))

    def clear(self) -> None:
        if self.fig:
            self.axes = []
            plt.close(self.fig)
            self.fig = None

    def save_to_buffer(self) -> io.BytesIO:
        if not self.fig:
            raise RuntimeError("self.fig not set")
        buf = io.BytesIO()
        self.fig.savefig(buf, format="png")
        buf.seek(0)
        return buf

    def save_to_file(self, filename: str) -> None:
        if not self.fig:
            raise RuntimeError("self.fig not set")
        self.fig.savefig(filename)


class ConfigFilledCommon(Config):
    def __init__(self, name: str, corner_mask: bool, quad_as_tri: bool, show_text: bool) -> None:
        super().__init__(name, corner_mask, quad_as_tri, show_text)

    def _decode_config(self, config: int, corner: Corner | None = None) -> tuple[int | None, ...]:
        if corner is None:
            nw = (config >> 6) & 0x3
            ne = (config >> 4) & 0x3
            sw = (config >> 2) & 0x3
            se = config & 0x3
        else:
            a = (config >> 4) & 0x3
            b = (config >> 2) & 0x3
            c = config & 0x3
            if corner == Corner.NW:
                [nw, ne, sw, se] = [a, b, c, None]
            elif corner == Corner.NE:
                [nw, ne, sw, se] = [a, b, None, c]
            elif corner == Corner.SW:
                [nw, ne, sw, se] = [a, None, b, c]
            else:  # Corner.SE
                [nw, ne, sw, se] = [None, a, b, c]
        if nw == 3 or ne == 3 or sw == 3 or se == 3:
            raise ValueError(f"Invalid config {config}")
        return nw, ne, sw, se

    def _quad_lines(
        self,
        ax: Axes,
        z: np.ma.MaskedArray[Any, Any],
        zlower: float,
        zupper: float,
        corner: Corner | None,
    ) -> None:
        cont_gen = contour_generator(
            self.x, self.y, z, name=self.name, corner_mask=self.corner_mask,
            quad_as_tri=self.quad_as_tri, fill_type=FillType.OuterCode)

        filled = cont_gen.filled(zlower, zupper)
        assert cont_gen.fill_type == FillType.OuterCode
        if TYPE_CHECKING:
            filled = cast(FillReturn_OuterCode, filled)
        lines = filled[0]

        # May be 0..2 polygons, and there cannot be any holes.
        for points in lines:
            n = len(points)

            ax.fill(points[:, 0], points[:, 1], c="C2", alpha=self.fill_alpha, ec=None)

            # Classify points, either corner, lower level or upper level.
            point_types = np.empty(n, dtype=PointType)
            for i in range(n-1):
                xy = points[i]
                x_on_quad_edge = (xy[0] in (0.0, 1.0))
                y_on_quad_edge = (xy[1] in (0.0, 1.0))
                if x_on_quad_edge and y_on_quad_edge:
                    point_types[i] = PointType.CORNER
                elif corner is not None or x_on_quad_edge or y_on_quad_edge:
                    if (self._interp(z, xy[0], xy[1], corner) < 0.5*(zlower + zupper)):
                        point_types[i] = PointType.LOWER
                    else:
                        point_types[i] = PointType.UPPER
                else:
                    # Point on quad diagonal from middle point, so same type as previous point.
                    point_types[i] = point_types[i-1]
            # End point is the same as the start point.
            point_types[-1] = point_types[0]

            # Draw lines.
            for i in range(n-1):
                s = points[i]
                e = points[i+1]
                c = "C2"
                if point_types[i] == point_types[i+1] and point_types[i] != PointType.CORNER:
                    c = "C3" if point_types[i] == PointType.LOWER else "C0"
                ax.plot([s[0], e[0]], [s[1], e[1]], "-", c=c)

                # Arrows on boundary and contour levels (the latter only if not quad_as_tri).
                if point_types[i] == point_types[i+1] and (
                        point_types[i] == PointType.CORNER or not self.quad_as_tri):
                    self._arrow(ax, s, e, c)

            # Arrows on contour levels (lower and upper) for quad_as_tri.  Only want a single
            # arrow on each line strip, so find and use the longest line segment.  Care needed
            # identifying the longest due to rounding error, so find all segments within a small
            # length of the longest and take the max index of these.
            if self.quad_as_tri:
                for point_type in [PointType.LOWER, PointType.UPPER]:
                    mask = np.equal(point_types, point_type)  # type: ignore[call-overload]
                    start_indices = np.nonzero(np.logical_and(mask[1:], ~mask[:-1]))[0]
                    for start_index in start_indices:
                        start_index = (start_index + 1) % (n-1)

                        # Roll point_types array so start segment of line strip is at front.
                        rolled = np.roll(point_types[:-1], -start_index)
                        end_offset = np.nonzero(rolled != point_type)[0][0]

                        pts = points[start_index:start_index+end_offset]  # Line strip points.
                        diff = np.diff(pts, axis=0)
                        lengths = np.sum(np.square(diff), axis=1)  # Segment lengths.
                        offset = np.nonzero(lengths > lengths.max() - 1e-6)[0].max()

                        i = (start_index + offset) % (n-1)
                        c = "C3" if point_type == PointType.LOWER else "C0"
                        self._arrow(ax, points[i], points[i+1], c)

            # Draw markers.
            for i in range(n-1):
                if point_types[i] != PointType.CORNER:
                    c = "C3" if point_types[i] == PointType.LOWER else "C0"
                    ax.plot(points[i][0], points[i][1], "o", c=c, ms=self.marker_size)

    def _interp(
        self,
        zquad: CoordinateArray,
        x: CoordinateArray,
        y: CoordinateArray,
        corner: Corner | None = None,
    ) -> float:
        # Interpolate zquad to determine value of z at (x, y).  Could use
        # scipy.interp2d for this, but do not want scipy as a dependency just
        # for this.
        # (x, y) must lie on one of the edges of the quad.
        # zquad[0,0] = sw, zquad[0,1] = se, zquad[1,0] = nw, zquad[1,1] = ne
        ret: float

        if x == 0.0:
            ret = zquad[0, 0]*(1.0-y) + zquad[1, 0]*y
        elif x == 1.0:
            ret = zquad[0, 1]*(1.0-y) + zquad[1, 1]*y
        elif y == 0.0:
            ret = zquad[0, 0]*(1.0-x) + zquad[0, 1]*x
        elif y == 1.0:
            ret = zquad[1, 0]*(1.0-x) + zquad[1, 1]*x
        else:
            # corner is not None
            if corner in (Corner.NW, Corner.SE):
                ret = zquad[0, 0]*(1.0-y) + zquad[1, 1]*y
            else:
                ret = zquad[0, 1]*(1.0-y) + zquad[1, 0]*y

        return ret


class ConfigFilled(ConfigFilledCommon):
    def __init__(self, name: str, quad_as_tri: bool = False, show_text: bool = True) -> None:
        super().__init__(name, False, quad_as_tri, show_text)

        subplot_kw = {"aspect": "equal"}
        if self.quad_as_tri:
            self.fig, axes = plt.subplots(18, 12, figsize=(10.4, 17.1), subplot_kw=subplot_kw)
        else:
            self.fig, axes = plt.subplots(9, 11, figsize=(9.4, 8.4), subplot_kw=subplot_kw)
        self.axes = axes.flatten()

        self.axes_index = 0
        for config in range(171):
            try:
                (nw, ne, sw, se) = self._decode_config(config)
            except ValueError:
                continue

            assert nw is not None and ne is not None and sw is not None and se is not None
            all = np.asarray((nw, ne, sw, se))

            # A quad is degenerate if all 4 quad edges include either the lower
            # or upper contour levels.
            degenerate_lower = (se == nw == 0 and sw > 0 and ne > 0) or \
                               (sw == ne == 0 and se > 0 and nw > 0)
            degenerate_upper = (se == nw == 2 and sw < 2 and ne < 2) or \
                               (sw == ne == 2 and se < 2 and nw < 2)

            if self.quad_as_tri:
                if not nw == ne == sw == se:
                    zmax = all.max()
                    zmin = all.min()
                    zsum = all.sum()
                    if zmin == 0 and zmax == 1:
                        lookup_0 = {1: 0, 2: -1, 3: -1.8}
                        self._next_quad(config, suffix="(0)", set_0=lookup_0[zsum])

                        lookup_1 = {1: 0.4, 2: 0.35, 3: 0}
                        self._next_quad(config, suffix="(1)", set_0=lookup_1[zsum])
                    elif zmin == 0 and zmax == 2:
                        count_1 = np.count_nonzero(all == 1)
                        lookup_0 = {2: -0.3, 3: -1, 4: -2-count_1/2, 5: -5, 6: -6}  # type: ignore[dict-item]
                        self._next_quad(config, suffix="(0)", set_0=lookup_0[zsum])

                        if zsum <= 3:
                            self._next_quad(config, suffix="(1)", set_2=3.01)
                        elif zsum <= 5:
                            self._next_quad(config, suffix="(1)")
                        elif zsum == 6:
                            self._next_quad(config, suffix="(1)", set_0=-1)

                        lookup_2 = {2: 8.01, 3: 7.01, 4: 4+count_1/2, 5: 3.5, 6: 2.5}
                        self._next_quad(config, suffix="(2)", set_2=lookup_2[zsum])  # type: ignore[arg-type]
                    elif zmin == 1 and zmax == 2:
                        lookup_1 = {5: 2, 6: 1.65, 7: 1.6}
                        self._next_quad(config, suffix="(1)", set_2=lookup_1[zsum])

                        lookup_2 = {5: 4, 6: 3, 7: 2}
                        self._next_quad(config, suffix="(2)", set_2=lookup_2[zsum])  # type: ignore[arg-type]
                    else:
                        raise RuntimeError(f"Invalid combination of zmin {zmin} and zmax {zmax}")
                else:
                    self._next_quad(config)
            else:  # !quad_as_tri
                if degenerate_lower and degenerate_upper:
                    # middle needs to be 0, 1 and 2.
                    self._next_quad(config, suffix="(0)", set_0=-1.01)
                    self._next_quad(config, suffix="(1)")
                    self._next_quad(config, suffix="(2)", set_2=3.01)
                elif degenerate_lower:
                    # middle needs to be 0 and >0.
                    self._next_quad(config, suffix="(0)", set_0=-0.01 if all.max() == 1 else -0.51)
                    self._next_quad(config, suffix="(>0)", set_1=1.01)
                elif degenerate_upper:
                    # middle needs to be <2 and 2.
                    self._next_quad(config, suffix="(<2)")
                    self._next_quad(config, suffix="(2)", set_2=2.01 if all.min() == 1 else 2.51)
                else:
                    # Not degenerate.
                    self._next_quad(config)

        # Hide unwanted axes.
        for i in range(self.axes_index, len(self.axes)):
            self.axes[i].axis("off")

        self.fig.tight_layout()


class ConfigFilledCorner(ConfigFilledCommon):
    def __init__(self, name: str, show_text: bool = True) -> None:
        super().__init__(name, corner_mask=True, quad_as_tri=False, show_text=show_text)

        self.fig, axes = plt.subplots(8, 14, figsize=(12.1, 7.6), subplot_kw={"aspect": "equal"})
        self.axes = axes.flatten()

        corners = [Corner.NW, Corner.NE, Corner.SW, Corner.SE]
        self.axes_index = 0
        for icorner in range(4):
            corner = corners[icorner]
            self._set_mask(corner)
            for config in range(43):
                try:
                    _ = self._decode_config(config, corner)
                except ValueError:
                    continue

                self._next_quad(config, corner=corner)

            self.axes[self.axes_index].axis("off")
            self.axes_index += 1

        self.fig.tight_layout()


class ConfigLinesCommon(Config):
    def __init__(self, name: str, corner_mask: bool, quad_as_tri: bool, show_text: bool) -> None:
        super().__init__(name, corner_mask, quad_as_tri, show_text)

    def _decode_config(self, config: int, corner: Corner | None = None) -> tuple[int | None, ...]:
        if corner is None:
            nw = (config >> 3) & 0x1
            ne = (config >> 2) & 0x1
            sw = (config >> 1) & 0x1
            se = config & 0x1
        else:
            a = (config >> 2) & 0x1
            b = (config >> 1) & 0x1
            c = config & 0x1
            if corner == Corner.NW:
                [nw, ne, sw, se] = [a, b, c, None]
            elif corner == Corner.NE:
                [nw, ne, sw, se] = [a, b, None, c]
            elif corner == Corner.SW:
                [nw, ne, sw, se] = [a, None, b, c]
            else:  # Corner.SE
                [nw, ne, sw, se] = [None, a, b, c]
        return nw, ne, sw, se

    def _quad_lines(
        self,
        ax: Axes,
        z: np.ma.MaskedArray[Any, Any],
        zlower: float,
        zupper: float,
        corner: Corner | None,
    ) -> None:
        cont_gen = contour_generator(
            self.x, self.y, z, name=self.name, corner_mask=self.corner_mask,
            quad_as_tri=self.quad_as_tri, line_type=LineType.SeparateCode)

        lines_and_codes = cont_gen.lines(zlower)
        assert cont_gen.line_type == LineType.SeparateCode
        if TYPE_CHECKING:
            lines_and_codes = cast(LineReturn_SeparateCode, lines_and_codes)
        lines = lines_and_codes[0]

        for points in lines:
            ax.plot(points[:, 0], points[:, 1], "o-", c="C3", ms=self.marker_size)

            # Single arrow in middle segment (if even number of points) or the following
            # segment (if odd number of points).
            n = len(points)
            i = (n-1) // 2
            self._arrow(ax, points[i], points[i+1], "C3")


class ConfigLines(ConfigLinesCommon):
    def __init__(self, name: str, quad_as_tri: bool = False, show_text: bool = True) -> None:
        super().__init__(name, False, quad_as_tri, show_text)

        subplot_kw = {"aspect": "equal"}
        if self.quad_as_tri:
            self.fig, axes = plt.subplots(5, 6, figsize=(5.2, 4.75), subplot_kw=subplot_kw)
        else:
            self.fig, axes = plt.subplots(3, 6, figsize=(5.2, 2.85), subplot_kw=subplot_kw)
        self.axes = axes.flatten()

        self.axes_index = 0
        for config in range(16):
            (nw, ne, sw, se) = self._decode_config(config)

            assert nw is not None and ne is not None and sw is not None and se is not None

            # A quad is degenerate if all 4 quad edges include the z level.
            degenerate = (se == nw == 0 and sw > 0 and ne > 0) or \
                         (sw == ne == 0 and se > 0 and nw > 0)

            if degenerate or (self.quad_as_tri and not nw == ne == sw == se):
                if self.quad_as_tri:
                    count_1 = np.count_nonzero((nw, ne, sw, se))
                    count_0 = 4 - count_1
                    self._next_quad(config, suffix="(0)", set_0=1.01 - count_1)
                    self._next_quad(config, suffix="(1)", set_1=0.01 + count_0)
                else:
                    self._next_quad(config, suffix="(0)", set_1=0.99)
                    self._next_quad(config, suffix="(1)", set_1=1.01)
            else:
                self._next_quad(config)

        self.fig.tight_layout()


class ConfigLinesCorner(ConfigLinesCommon):
    # All 4 corners plotted together.
    def __init__(self, name: str, show_text: bool = True) -> None:
        super().__init__(name, corner_mask=True, quad_as_tri=False, show_text=show_text)

        self.fig, axes = plt.subplots(4, 8, figsize=(6.93, 3.8), subplot_kw={"aspect": "equal"})
        self.axes = axes.flatten()

        self.axes_index = 0
        corners = [Corner.NW, Corner.NE, Corner.SW, Corner.SE]
        for icorner in range(4):
            corner = corners[icorner]
            self._set_mask(corner)

            for config in range(8):
                self._next_quad(config, corner)

        self.fig.tight_layout()