plotter/tests/test_imgui_widget.cpp

// SPDX-License-Identifier: MIT
// SPDX-FileCopyrightText: 2026 Martino Ferrari

// The Dear ImGui adapter's own logic, pinned against real ImGui frames on the
// tests' surfaceless EGL context -- no window, no display server.
//
// What is tested here is what this project owns, not the toolkit's: ImGui reports
// input as *levels* where `plot::input` wants edges, so the widget synthesises
// them, gates delivery on hover, captures a drag across a region exit, and takes
// the wheel away from window scrolling; and because it draws through GL rather
// than ImGui's draw list, it has to keep its painting inside the child's *visible*
// rectangle itself. The suite is otherwise ImGui-free, so this file and its link
// are added only when the adapter is built (tests/CMakeLists.txt).

#include "harness.hpp"
#include "egl_headless.hpp"

#include <imgui/imgui_plot.hpp>

#include <imgui.h>

#include <plot/data/stream_series.hpp>
#include <plot/gl/api.hpp>
#include <plot/render/renderer.hpp>

#include <cmath>
#include <cstdint>
#include <limits>
#include <utility>
#include <vector>

namespace {

/// The off-screen target and the ImGui display are the same size: the widget's
/// region is a sub-rectangle of the framebuffer, which is the point of the test.
constexpr u32 kFb = 512;
constexpr float kDisplay = 512.0f;
constexpr float kChild = 400.0f;

/// A plot the widget drives, and the host frame around it.
struct Fixture {
  plottest::HeadlessContext ctx;
  plot::Renderer renderer;
  plot::data::StreamSeries series{4096, 0.0, 0.01};
  plot::Plot plot;
  plot::imgui::PlotWidget widget;
  u32 ax = 0;
  u32 ay = 0;
  /// A second plot, so a host that draws two through one widget can be tested.
  plot::Plot other;
  u32 ax_other = 0;
  u32 ay_other = 0;

  float win_w = kDisplay;
  float win_h = kDisplay;
  float child_w = kChild;
  float child_h = kChild;
  /// Content past the window, so the hosting window has a scroll range: the wheel
  /// containment test needs one to be able to observe a scroll at all.
  bool tall_parent = false;
  bool prev_down = false;

  ImVec2 child_origin{0.0f, 0.0f};  ///< the child's top-left, read in-frame (points)
  float scroll_y = 0.0f;            ///< the hosting window's scroll, read in-frame

  /// The pixels the widget painted: the bounding box of everything that is not the
  /// host's clear colour, in top-left framebuffer coordinates.
  u32 paint_min_x = kFb;
  u32 paint_min_y = kFb;
  u32 paint_max_x = 0;
  u32 paint_max_y = 0;

  /// The host's own frame. Green on purpose: no colour the plot draws, nor any
  /// blend of them, is (0, 192, 0), so "the host's pixel survived" is decidable.
  plot::Color host_color = plot::Color::hex(0x00C000);
  std::uint8_t host_rgb_[3] = {0, 0, 0};

  Fixture() : ctx(kFb, kFb) {}
  ~Fixture() { ImGui::DestroyContext(); }

  Fixture(const Fixture&) = delete;
  Fixture& operator=(const Fixture&) = delete;

  bool init() {
    plot::Status st;
    if (!ctx.create(&st)) {
      std::printf("[FAIL] headless context: %s\n", st.message);
      return false;
    }
    if (!renderer.init(&st)) {
      std::printf("[FAIL] renderer init: %s\n", st.message);
      return false;
    }

    ImGui::CreateContext();
    ImGuiIO& io = ImGui::GetIO();
    io.IniFilename = nullptr;
    io.DisplaySize = ImVec2(kDisplay, kDisplay);
    io.DisplayFramebufferScale = ImVec2(1.0f, 1.0f);
    io.Fonts->AddFontDefault();
    std::uint8_t* pixels = nullptr;
    int tw = 0;
    int th = 0;
    // The widget needs a built atlas exactly as a platform backend would leave it;
    // no renderer backend is involved, so the texture id is a placeholder.
    io.Fonts->GetTexDataAsRGBA32(&pixels, &tw, &th);
    io.Fonts->SetTexID(static_cast<ImTextureID>(1));

    for (int i = 0; i < 4096; ++i) series.push(static_cast<f32>(std::sin(0.05 * i)));
    series.acquire();
    ax = plot.add_x_axis({"time", {0.0, 20.0}, false, plot::AxisPlace::Bottom, false});
    ay = plot.add_y_axis({"signal", {-1.2, 1.2}, false, plot::AxisPlace::Left, false});
    plot.add_trace({&series, plot::Color::hex(0x40C0FF), 1.5f, ax, ay});
    plot.set_x_range(ax, {0.0, 20.0});  // explicit: clears auto scale, so a pan shows
    plot.set_y_range(ay, {-1.2, 1.2});

    other.set_viewport(plot.viewport());
    ax_other = other.add_x_axis({"time", {0.0, 50.0}, false, plot::AxisPlace::Bottom, false});
    ay_other = other.add_y_axis({"signal", {-1.0, 1.0}, false, plot::AxisPlace::Left, false});
    other.add_trace({&series, plot::Color::hex(0xFFB020), 1.5f, ax_other, ay_other});
    other.set_x_range(ax_other, {0.0, 50.0});
    other.set_y_range(ay_other, {-1.0, 1.0});

    // The host colour as the pipeline actually produced it: the pixel tests compare
    // bytes, not a rounding of the clear value.
    clear_host();
    std::uint8_t probe[4] = {0, 0, 0, 0};
    pixel(0, 0, probe);
    host_rgb_[0] = probe[0];
    host_rgb_[1] = probe[1];
    host_rgb_[2] = probe[2];
    return true;
  }

  void clear_host() {
    plot::gl::glViewport(0, 0, static_cast<plot::gl::GLsizei>(ctx.width),
                         static_cast<plot::gl::GLsizei>(ctx.height));
    plot::gl::glClearColor(host_color.r, host_color.g, host_color.b, host_color.a);
    plot::gl::glClear(plot::gl::GL_COLOR_BUFFER_BIT);
  }

  /// One widget frame with the host's input queued exactly as a platform backend
  /// would queue it. `pos` is in ImGui points; `-FLT_MAX` is ImGui's "the pointer is
  /// not on this window" sentinel.
  void frame(const ImVec2& pos, bool down, float wheel = 0.0f, plot::Plot* target = nullptr) {
    plot::Plot& shown = target != nullptr ? *target : plot;
    ImGuiIO& io = ImGui::GetIO();
    io.AddMousePosEvent(pos.x, pos.y);
    if (down != prev_down) {
      io.AddMouseButtonEvent(0, down);
      prev_down = down;
    }
    if (wheel != 0.0f) io.AddMouseWheelEvent(0.0f, wheel);

    // A bare window: no background to paint over the plot, and no title bar or
    // scrollbar to add pixels the scan below would mistake for the widget's.
    const ImGuiWindowFlags host_flags = ImGuiWindowFlags_NoBackground |
                                       ImGuiWindowFlags_NoTitleBar |
                                       ImGuiWindowFlags_NoScrollbar;
    ImGui::NewFrame();
    ImGui::SetNextWindowPos(ImVec2(0.0f, 0.0f), ImGuiCond_Always);
    ImGui::SetNextWindowSize(ImVec2(win_w, win_h), ImGuiCond_Always);
    ImGui::Begin("host", nullptr, host_flags);
    child_origin = ImGui::GetCursorScreenPos();  // where the widget's child goes
    widget.draw("plot", shown, plot::Vec2{child_w, child_h}, renderer);
    if (tall_parent) ImGui::Dummy(ImVec2(10.0f, 900.0f));  // content past the window
    scroll_y = ImGui::GetScrollY();
    ImGui::End();
    ImGui::Render();
  }

  /// The framebuffer pixel at a *top-left* coordinate. `read_pixel` speaks GL's
  /// bottom-left convention, as the render smoke test notes.
  void pixel(u32 x, u32 y, std::uint8_t out[4]) {
    if (!ctx.read_pixel(x, ctx.height - 1u - y, out)) PLOT_CHECK(false);
  }

  bool is_host(const std::uint8_t px[4]) const {
    return px[0] == host_rgb_[0] && px[1] == host_rgb_[1] && px[2] == host_rgb_[2];
  }

  /// Records the bounding box of the pixels that are not the host's clear colour.
  /// Reads the whole framebuffer once, so a draw that escaped the widget's region
  /// shows up even if it is nowhere near the pixels a point check samples.
  void scan_painted() {
    std::uint8_t probe[4] = {0, 0, 0, 0};
    pixel(0, 0, probe);  // read_pixel binds the target the frame was drawn into
    std::vector<std::uint8_t> rgba(static_cast<plot::usize>(kFb) * kFb * 4u, 0u);
    plot::gl::glPixelStorei(plot::gl::GL_PACK_ALIGNMENT, 4);
    plot::gl::glReadPixels(0, 0, static_cast<plot::gl::GLsizei>(ctx.width),
                           static_cast<plot::gl::GLsizei>(ctx.height), plot::gl::GL_RGBA,
                           plot::gl::GL_UNSIGNED_BYTE, rgba.data());

    paint_min_x = kFb;
    paint_min_y = kFb;
    paint_max_x = 0;
    paint_max_y = 0;
    for (u32 y = 0; y < kFb; ++y) {
      // glReadPixels hands rows back bottom-up; this scan speaks top-left, the
      // convention every Rect here uses.
      const std::uint8_t* row =
          rgba.data() + static_cast<plot::usize>(kFb - 1u - y) * kFb * 4u;
      for (u32 x = 0; x < kFb; ++x) {
        if (is_host(row + static_cast<plot::usize>(x) * 4u)) continue;
        if (x < paint_min_x) paint_min_x = x;
        if (x > paint_max_x) paint_max_x = x;
        if (y < paint_min_y) paint_min_y = y;
        if (y > paint_max_y) paint_max_y = y;
      }
    }
  }

  plot::Range x_range() const { return plot.x_range(ax); }
  bool panning() const {
    const plot::input::Controller* c = widget.controller();
    return c != nullptr && c->drag_mode() == plot::input::DragMode::Pan;
  }
};

constexpr float kMaxFloat = std::numeric_limits<float>::max();

}  // namespace

PLOT_TEST(imgui_widget_pans_only_while_hovered_and_dragging) {
  Fixture f;
  if (!f.init()) PLOT_CHECK(false);

  // A hovered pointer with no button moves nothing: the pointer must be *over* the
  // plot and a drag must be in progress.
  f.frame(ImVec2(200.0f, 200.0f), false);
  const plot::Range hovered = f.x_range();
  f.frame(ImVec2(260.0f, 200.0f), false);
  PLOT_CHECK_NEAR(f.x_range().min, hovered.min, 1e-9);
  PLOT_CHECK_NEAR(f.x_range().max, hovered.max, 1e-9);

  // A press begins a pan, but a press alone moves nothing either.
  f.frame(ImVec2(200.0f, 200.0f), true);
  PLOT_CHECK(f.panning());
  PLOT_CHECK_NEAR(f.x_range().min, hovered.min, 1e-9);

  // The drag pans (grab-and-drag: the data follows the cursor) and keeps the span.
  const plot::Range pressed = f.x_range();
  f.frame(ImVec2(260.0f, 200.0f), true);
  PLOT_CHECK(f.x_range().min < pressed.min - 1e-6);
  PLOT_CHECK_NEAR(f.x_range().span(), pressed.span(), 1e-9);

  // The release ends it, and the next hovered move must not pan again.
  f.frame(ImVec2(260.0f, 200.0f), false);
  PLOT_CHECK(!f.panning());
  const plot::Range released = f.x_range();
  f.frame(ImVec2(300.0f, 200.0f), false);
  PLOT_CHECK_NEAR(f.x_range().min, released.min, 1e-9);
  PLOT_CHECK_NEAR(f.x_range().max, released.max, 1e-9);

  // A press and drag *outside* the child -- the slider-in-the-same-window case --
  // must not touch the plot at all.
  f.frame(ImVec2(470.0f, 470.0f), false);
  f.frame(ImVec2(470.0f, 470.0f), true);
  f.frame(ImVec2(440.0f, 440.0f), true);
  PLOT_CHECK_NEAR(f.x_range().min, released.min, 1e-9);
  f.frame(ImVec2(440.0f, 440.0f), false);
}

PLOT_TEST(imgui_widget_drag_capture_survives_leaving_the_child) {
  Fixture f;
  if (!f.init()) PLOT_CHECK(false);

  f.frame(ImVec2(200.0f, 200.0f), false);
  f.frame(ImVec2(200.0f, 200.0f), true);
  const plot::Range pressed = f.x_range();

  // Leftwards inside the child: the range minimum rises.
  f.frame(ImVec2(160.0f, 200.0f), true);
  PLOT_CHECK(f.x_range().min > pressed.min + 1e-6);
  const plot::Range inside = f.x_range();

  // Rightwards, with the pointer now outside the child: a captured drag keeps
  // panning, or the gesture would silently stop following the cursor.
  f.frame(ImVec2(470.0f, 470.0f), true);
  PLOT_CHECK(f.x_range().min < inside.min - 1e-6);

  // ... and the release arriving out there still ends it.
  const plot::Range outside = f.x_range();
  f.frame(ImVec2(470.0f, 470.0f), false);
  PLOT_CHECK(!f.panning());
  f.frame(ImVec2(430.0f, 430.0f), false);
  PLOT_CHECK_NEAR(f.x_range().min, outside.min, 1e-9);
}

PLOT_TEST(imgui_widget_wheel_zooms_when_hovered_and_does_not_scroll_the_host) {
  Fixture f;
  f.tall_parent = true;  // the hosting window can scroll, so containment is testable
  if (!f.init()) PLOT_CHECK(false);

  // Control: the wheel scrolls the hosting window when it is over the window's own
  // area. Downwards, because ImGui clamps a scroll at the top and would prove
  // nothing. Two frames of quiet first: ImGui sizes a window's content (and so its
  // scroll range) from the previous frame, and a wheel arriving before that range
  // is known is not scrolled anywhere.
  f.frame(ImVec2(470.0f, 470.0f), false);
  f.frame(ImVec2(470.0f, 470.0f), false);
  const float scroll_before = f.scroll_y;
  f.frame(ImVec2(470.0f, 470.0f), false, -1.0f);
  PLOT_CHECK(f.scroll_y > scroll_before + 1.0f);

  // The same wheel over the parent must not zoom the plot: it is not hovered.
  const plot::Range over_parent = f.x_range();
  f.frame(ImVec2(470.0f, 470.0f), false, -1.0f);
  PLOT_CHECK_NEAR(f.x_range().span(), over_parent.span(), 1e-9);

  // Over the plot, the wheel zooms it (positive scrolls up, which zooms in) and
  // the hosting window does not scroll.
  f.frame(ImVec2(200.0f, 200.0f), false);  // hover: claims the wheel for the plot
  const float scroll_before_plot = f.scroll_y;
  const double span_before = f.x_range().span();
  f.frame(ImVec2(200.0f, 200.0f), false, -1.0f);
  f.frame(ImVec2(200.0f, 200.0f), false);
  PLOT_CHECK(f.x_range().span() > span_before);
  PLOT_CHECK_NEAR(static_cast<double>(f.scroll_y), static_cast<double>(scroll_before_plot), 1e-3);

  const double span_before_in = f.x_range().span();
  f.frame(ImVec2(200.0f, 200.0f), false, 1.0f);
  PLOT_CHECK(f.x_range().span() < span_before_in);
}

PLOT_TEST(imgui_widget_invalid_position_does_not_move_the_range) {
  Fixture f;
  if (!f.init()) PLOT_CHECK(false);

  f.frame(ImVec2(200.0f, 200.0f), false);
  f.frame(ImVec2(200.0f, 200.0f), true);  // press over the plot: capture
  const plot::Range pressed = f.x_range();

  // The platform backends leave (-FLT_MAX, -FLT_MAX) behind when the pointer leaves
  // the window (imgui_impl_glfw's cursor-enter callback) or the window loses focus
  // (ClearInputMouse). Scaled by the framebuffer scale and differenced against the
  // last real position, that is a ~1e35 movement -- and with a press captured, a
  // ~1e35 pan, which `set_x_range` would take (and, clearing auto scale, would not
  // give back).
  f.frame(ImVec2(-kMaxFloat, -kMaxFloat), true);
  PLOT_CHECK(std::isfinite(f.x_range().min) && std::isfinite(f.x_range().max));
  PLOT_CHECK_NEAR(f.x_range().min, pressed.min, 1e-9);
  PLOT_CHECK_NEAR(f.x_range().max, pressed.max, 1e-9);
  PLOT_CHECK(f.panning());  // still captured: only the position was unusable

  // The release still ends the drag even with no usable position in the event.
  f.frame(ImVec2(-kMaxFloat, -kMaxFloat), false);
  PLOT_CHECK(!f.panning());

  // A drag held across a sentinel, then a real position again. The movement must be
  // measured from the last *real* position -- 100 px from (200, 200) to (300, 300) --
  // and not from the sentinel. This is asserted with the drag alive on purpose:
  // nothing can move a range once the button is up, so the same check after the
  // release could not fail and would prove nothing.
  f.frame(ImVec2(200.0f, 200.0f), false);
  f.frame(ImVec2(200.0f, 200.0f), true);
  const plot::Range second_press = f.x_range();
  f.frame(ImVec2(-kMaxFloat, -kMaxFloat), true);
  PLOT_CHECK(f.panning());
  const double axes_w = static_cast<double>(std::as_const(f.plot).layout().axes.w);
  const double expected_shift = 100.0 / axes_w * second_press.span();
  f.frame(ImVec2(300.0f, 300.0f), true);
  PLOT_CHECK(f.panning());
  PLOT_CHECK(std::isfinite(f.x_range().min));
  PLOT_CHECK_NEAR(f.x_range().min, second_press.min - expected_shift, 0.05 * expected_shift);
  f.frame(ImVec2(300.0f, 300.0f), false);
  PLOT_CHECK(!f.panning());
}

PLOT_TEST(imgui_widget_paints_the_whole_child_when_nothing_clips_it) {
  Fixture f;
  if (!f.init()) PLOT_CHECK(false);
  f.clear_host();
  f.frame(ImVec2(200.0f, 200.0f), false);
  f.scan_painted();

  // The requested child rectangle, in top-left coordinates.
  const u32 x0 = static_cast<u32>(f.child_origin.x);
  const u32 y0 = static_cast<u32>(f.child_origin.y);
  const u32 x1 = x0 + static_cast<u32>(f.child_w);
  const u32 y1 = y0 + static_cast<u32>(f.child_h);

  // The clamp against the clip rect must be a no-op when nothing clips the child:
  // the painted rectangle is exactly the child's, corner to corner.
  PLOT_CHECK(f.paint_min_x <= x0 + 1u && f.paint_min_y <= y0 + 1u);
  PLOT_CHECK(f.paint_max_x >= x1 - 2u && f.paint_max_y >= y1 - 2u);

  // ... and nothing of it escapes: the pixels past the child's edge are still the
  // host's.
  std::uint8_t out[4] = {0, 0, 0, 0};
  f.pixel(x1 + 6u, y1 + 6u, out);
  PLOT_CHECK(f.is_host(out));
  f.pixel(x1 + 6u, y0 + 6u, out);
  PLOT_CHECK(f.is_host(out));
}

PLOT_TEST(imgui_widget_rebinding_a_plot_does_not_fabricate_a_press) {
  Fixture f;
  if (!f.init()) PLOT_CHECK(false);

  f.frame(ImVec2(200.0f, 200.0f), false);
  f.frame(ImVec2(200.0f, 200.0f), true);  // press over the first plot
  PLOT_CHECK(f.panning());

  // The host switches to its second plot with the button still held. ImGui reports
  // a *level*, so there is no press edge in this frame: synthesising one out of the
  // clear state a re-bind starts from would begin a drag the user never made.
  f.frame(ImVec2(210.0f, 200.0f), true, 0.0f, &f.other);
  PLOT_CHECK(f.widget.controller() != nullptr);
  PLOT_CHECK(!f.panning());
  const plot::Range other_before = f.other.x_range(f.ax_other);
  f.frame(ImVec2(260.0f, 200.0f), true, 0.0f, &f.other);
  PLOT_CHECK(!f.panning());
  PLOT_CHECK_NEAR(f.other.x_range(f.ax_other).min, other_before.min, 1e-9);
  f.frame(ImVec2(260.0f, 200.0f), false, 0.0f, &f.other);  // release
  PLOT_CHECK(!f.panning());

  // Back on the first plot, a press that *is* a press still starts a drag: the
  // button state was kept across the re-bind, not frozen.
  f.frame(ImVec2(200.0f, 200.0f), false);
  f.frame(ImVec2(200.0f, 200.0f), true);
  PLOT_CHECK(f.panning());
}

PLOT_TEST(imgui_widget_paints_only_the_visible_part_of_a_clipped_child) {
  Fixture f;
  f.win_w = 200.0f;  // the child (400x400) cannot fit, so ImGui clips it
  f.win_h = 200.0f;
  if (!f.init()) PLOT_CHECK(false);
  f.clear_host();
  // The pointer is outside the window entirely: this is about painting, not input.
  f.frame(ImVec2(300.0f, 300.0f), false);
  f.scan_painted();

  const u32 x0 = static_cast<u32>(f.child_origin.x);
  const u32 y0 = static_cast<u32>(f.child_origin.y);
  const u32 x1 = x0 + static_cast<u32>(f.child_w);  // the *requested* rectangle
  const u32 y1 = y0 + static_cast<u32>(f.child_h);

  // GL draws do not go through ImGui's clipping, so a child the window cuts off
  // would otherwise clear and paint over the host's pixels beside it. The painted
  // rectangle must stop well short of the requested one ...
  PLOT_CHECK(f.paint_max_x + 20u < x1);
  PLOT_CHECK(f.paint_max_y + 20u < y1);
  // ... while still covering the part that is visible: this is a clamp, not a
  // refusal to draw.
  PLOT_CHECK(f.paint_max_x - f.paint_min_x > 100u);
  PLOT_CHECK(f.paint_max_y - f.paint_min_y > 100u);

  // The pixel deep inside the requested rectangle but outside the visible part kept
  // the host's colour, and the one near the visible corner was painted.
  std::uint8_t out[4] = {0, 0, 0, 0};
  f.pixel(x1 - 5u, y1 - 5u, out);
  PLOT_CHECK(f.is_host(out));
  f.pixel(f.paint_min_x + 40u, f.paint_min_y + 40u, out);
  PLOT_CHECK(!f.is_host(out));
}

/// The widget states the display's scale to the renderer, which is what makes the
/// chrome one physical size on any DPI: `io.DisplayFramebufferScale` is the same
/// factor the widget already maps points to framebuffer pixels by, so a host on a 2x
/// surface gets a 2x *device* font and a 2x device strip -- the same logical layout
/// as on a 1x one.
PLOT_TEST(imgui_widget_states_the_display_scale_to_the_renderer) {
  Fixture f;
  PLOT_CHECK(f.init());
  ImGuiIO& io = ImGui::GetIO();

  io.DisplayFramebufferScale = ImVec2(1.0f, 1.0f);
  f.frame(ImVec2(10.0f, 10.0f), false);
  PLOT_CHECK_NEAR(f.renderer.style().ui_scale, 1.0f, 1e-6);
  const plot::f32 cell_1x = f.renderer.axis_font_px();
  const plot::f32 strip_1x = f.plot.layout().y_axis_width;
  PLOT_CHECK(cell_1x > 1.0f);
  PLOT_CHECK(strip_1x > 1.0f);

  // The same widget and the same logical size, on a 2x surface.
  io.DisplayFramebufferScale = ImVec2(2.0f, 2.0f);
  f.frame(ImVec2(10.0f, 10.0f), false);
  PLOT_CHECK_NEAR(f.renderer.style().ui_scale, 2.0f, 1e-6);
  // The renderer hands it to the plot before laying out, so the *device* chrome
  // doubles while the logical figure (device / scale) is what the 1x run measured.
  PLOT_CHECK_NEAR(f.plot.ui_scale(), 2.0f, 1e-6);
  PLOT_CHECK_NEAR(f.renderer.axis_font_px(), 2.0f * cell_1x, 1e-3);
  PLOT_CHECK_NEAR(f.plot.layout().y_axis_width, 2.0f * strip_1x, 0.05f);

  // Back to 1x: the scale is re-read every frame rather than latched at the first
  // one, so a window moved to another display follows.
  io.DisplayFramebufferScale = ImVec2(1.0f, 1.0f);
  f.frame(ImVec2(10.0f, 10.0f), false);
  PLOT_CHECK_NEAR(f.renderer.style().ui_scale, 1.0f, 1e-6);
  PLOT_CHECK_NEAR(f.renderer.axis_font_px(), cell_1x, 1e-3);
  PLOT_CHECK_NEAR(f.plot.layout().y_axis_width, strip_1x, 1e-3);
}