gemlab 2.0.0

Geometry and meshes laboratory for finite element analyses
Documentation 
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use super::{GeoClass, Scratchpad};
use crate::StrError;
use plotpy::{Canvas, Plot, PolyCode, Text};
use russell_lab::Vector;

impl Scratchpad {
    /// Draws the geometric shape
    ///
    /// # Input
    ///
    /// * `plot` -- plot struct
    /// * `pad` -- the scratchpad with coordinates set already
    /// * `edge_color` -- color to draw edges; an empty string "" means use default color
    /// * `with_ids` -- draw IDs of nodes
    /// * `set_range` -- sets axis range
    pub fn draw_shape(
        &self,
        plot: &mut Plot,
        edge_color: &str,
        with_ids: bool,
        set_range: bool,
    ) -> Result<(), StrError> {
        if !self.ok_xxt {
            return Err("all components of the coordinates matrix must be set first");
        }
        let (space_ndim, nnode) = self.xxt.dims();
        let mut canvas = Canvas::new();
        if self.kind.ndim() == 1 {
            let mut lin_pad = self.clone();
            draw_edge(&mut canvas, &mut lin_pad, edge_color)?;
        } else {
            let mut edge_pad = Scratchpad::new(space_ndim, self.kind.edge_kind().unwrap())?;
            for e in 0..self.kind.nedge() {
                for i in 0..self.kind.edge_nnode() {
                    let m = self.kind.edge_node_id(e, i);
                    for j in 0..space_ndim {
                        edge_pad.set_xx(i, j, self.xxt.get(j, m));
                    }
                }
                draw_edge(&mut canvas, &mut edge_pad, edge_color)?;
            }
        }
        plot.add(&canvas);
        if with_ids {
            let mut labels_corner = Text::new();
            let mut labels_middle = Text::new();
            labels_corner
                .set_align_horizontal("center")
                .set_align_vertical("center")
                .set_bbox(true)
                .set_bbox_style("circle,pad=0.3")
                .set_bbox_facecolor("white")
                .set_bbox_edgecolor("red");
            labels_middle
                .set_align_horizontal("center")
                .set_align_vertical("center")
                .set_fontsize(8.0)
                .set_bbox(true)
                .set_bbox_style("circle,pad=0.2")
                .set_bbox_facecolor("white")
                .set_bbox_edgecolor("gold");
            if space_ndim == 2 {
                let m_corner_max = match self.kind.class() {
                    GeoClass::Lin => 2,
                    GeoClass::Tri => 3,
                    GeoClass::Qua => 4,
                    GeoClass::Tet => 4,
                    GeoClass::Hex => 8,
                };
                for m in 0..self.kind.nnode() {
                    if m < m_corner_max {
                        labels_corner.draw(self.xxt.get(0, m), self.xxt.get(1, m), format!("{}", m).as_str());
                    } else {
                        labels_middle.draw(self.xxt.get(0, m), self.xxt.get(1, m), format!("{}", m).as_str());
                    }
                }
            } else {
                let mut m_corner_max = if self.kind.is_tri_or_tet() { 4 } else { 8 };
                if self.kind.ndim() == 2 {
                    // shell (2D shape in 3D space => ignore the difference between corners and middle nodes)
                    m_corner_max = 0
                }
                for m in 0..self.kind.nnode() {
                    if m < m_corner_max {
                        labels_corner.draw_3d(
                            self.xxt.get(0, m),
                            self.xxt.get(1, m),
                            self.xxt.get(2, m),
                            format!("{}", m).as_str(),
                        );
                    } else {
                        labels_middle.draw_3d(
                            self.xxt.get(0, m),
                            self.xxt.get(1, m),
                            self.xxt.get(2, m),
                            format!("{}", m).as_str(),
                        );
                    }
                }
            }
            plot.add(&labels_corner).add(&labels_middle);
        }
        if set_range {
            let mut xmin = vec![f64::MAX; space_ndim];
            let mut xmax = vec![f64::MIN; space_ndim];
            for m in 0..nnode {
                for j in 0..space_ndim {
                    xmin[j] = f64::min(xmin[j], self.xxt.get(j, m));
                    xmax[j] = f64::max(xmax[j], self.xxt.get(j, m));
                }
            }
            let mut dx = xmax[0] - xmin[0];
            let mut dy = xmax[1] - xmin[1];
            if dx <= 0.0 {
                dx = 1.0
            }
            if dy <= 0.0 {
                dy = 1.0
            }
            const PCT: f64 = 2.0 / 100.0;
            if space_ndim == 2 {
                plot.set_range(
                    xmin[0] - dx * PCT,
                    xmax[0] + dx * PCT,
                    xmin[1] - dy * PCT,
                    xmax[1] + dy * PCT,
                );
            } else {
                let dz = xmax[2] - xmin[2];
                plot.set_range_3d(
                    xmin[0] - dx * PCT,
                    xmax[0] + dx * PCT,
                    xmin[1] - dy * PCT,
                    xmax[1] + dy * PCT,
                    xmin[2] - dz * PCT,
                    xmax[2] + dz * PCT,
                );
            }
        }
        Ok(())
    }

    /// Draws shape (simple version)
    pub fn draw_shape_simple(&self, filename: &str) -> Result<(), StrError> {
        let mut plot = Plot::new();
        self.draw_shape(&mut plot, "", true, true)?;
        plot.set_equal_axes(true)
            .set_figure_size_points(600.0, 600.0)
            .save(filename)?;
        Ok(())
    }
}

/// Draws edge
fn draw_edge(canvas: &mut Canvas, edge_pad: &mut Scratchpad, edge_color: &str) -> Result<(), StrError> {
    const N: usize = 11; // number of points along edge (to handle nonlinear edges)
    let (ksi_min, ksi_del) = (-1.0, 2.0); // all Lin shapes go from -1 to +1
    let space_ndim = edge_pad.jacobian.dims().0;
    let mut x = Vector::new(space_ndim);
    canvas.set_face_color("None").set_line_width(3.0);
    if edge_color != "" {
        canvas.set_edge_color(edge_color);
    }
    if space_ndim == 2 {
        canvas.polycurve_begin();
        for i in 0..N {
            let kval = ksi_min + ksi_del * (i as f64) / ((N - 1) as f64);
            edge_pad.calc_coords(&mut x, &[kval])?;
            let code = if i == 0 { PolyCode::MoveTo } else { PolyCode::LineTo };
            canvas.polycurve_add(x[0], x[1], code);
        }
        canvas.polycurve_end(false);
    } else {
        canvas.polyline_3d_begin();
        for i in 0..N {
            let kval = ksi_min + ksi_del * (i as f64) / ((N - 1) as f64);
            edge_pad.calc_coords(&mut x, &[kval])?;
            canvas.polyline_3d_add(x[0], x[1], x[2]);
        }
        canvas.polyline_3d_end();
    }
    Ok(())
}

////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

#[cfg(test)]
mod tests {
    use crate::shapes::scratchpad_testing::aux;
    use crate::shapes::GeoKind;
    use plotpy::Plot;

    const SAVE_FIGURE: bool = false;

    #[test]
    fn draw_shape_works() {
        // select all kinds
        let kinds = vec![
            // Lin
            GeoKind::Lin2,
            GeoKind::Lin3,
            GeoKind::Lin4,
            GeoKind::Lin5,
            // Tri
            GeoKind::Tri3,
            GeoKind::Tri6,
            GeoKind::Tri10,
            GeoKind::Tri15,
            // Qua
            GeoKind::Qua4,
            GeoKind::Qua8,
            GeoKind::Qua9,
            GeoKind::Qua12,
            GeoKind::Qua16,
            GeoKind::Qua17,
            // Tet
            GeoKind::Tet4,
            GeoKind::Tet10,
            GeoKind::Tet20,
            // Hex
            GeoKind::Hex8,
            GeoKind::Hex20,
            GeoKind::Hex32,
        ];
        for kind in kinds {
            let space_ndim = usize::max(2, kind.ndim());
            let pad = aux::gen_scratchpad_with_coords(space_ndim, kind);
            let mut plot = Plot::new();
            if space_ndim == 2 {
                let canvas = aux::gen_canvas_mapping();
                plot.add(&canvas);
                plot.set_range(1.0, 10.0, 1.0, 10.0);
            }
            pad.draw_shape(&mut plot, "", true, true).unwrap();
            if space_ndim == 2 {
                plot.set_range(1.0, 10.0, 1.0, 10.0);
            }
            if SAVE_FIGURE {
                plot.set_figure_size_points(600.0, 600.0)
                    .set_equal_axes(true)
                    .save(format!("/tmp/gemlab/test_draw_shape_{}.svg", kind.to_string()).as_str())
                    .unwrap();
            }
        }
    }
}