diff --git a/README.md b/README.md
index ef18c526..8d7b663b 100644
--- a/README.md
+++ b/README.md
@@ -174,7 +174,7 @@ loop {
     egui_ctx.begin_frame(raw_input);
     my_app.ui(&mut egui_ctx); // add panels, windows and widgets to `egui_ctx` here
     let (output, paint_commands) = egui_ctx.end_frame();
-    let paint_jobs = self.ctx.tesselate(paint_commands); // create triangles to paint
+    let paint_jobs = egui_ctx.tesselate(paint_commands); // create triangles to paint
     my_integration.paint(paint_jobs);
     my_integration.set_cursor_icon(output.cursor_icon);
     // Also see `egui::Output` for more
diff --git a/egui/src/align.rs b/egui/src/align.rs
index 25cbe5a0..342a9354 100644
--- a/egui/src/align.rs
+++ b/egui/src/align.rs
@@ -1,3 +1,5 @@
+//! One- and two-dimensional alignment ([`Align::Center`], [`LEFT_TOP`] etc).
+
 use crate::math::{pos2, Rect};
 
 /// left/center/right or top/center/bottom alignment for e.g. anchors and `Layout`s.
@@ -5,27 +7,30 @@ use crate::math::{pos2, Rect};
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 #[cfg_attr(feature = "serde", serde(rename_all = "snake_case"))]
 pub enum Align {
-    /// Left/Top
+    /// Left or top.
     Min,
 
-    /// Note: requires a bounded/known available_width.
+    /// Horizontal or vertical center.
     Center,
 
-    /// Right/Bottom
-    /// Note: requires a bounded/known available_width.
+    /// Right or bottom.
     Max,
 }
 
 impl Align {
+    /// Convenience for [`Self::Min`]
     pub fn left() -> Self {
         Self::Min
     }
+    /// Convenience for [`Self::Max`]
     pub fn right() -> Self {
         Self::Max
     }
+    /// Convenience for [`Self::Min`]
     pub fn top() -> Self {
         Self::Min
     }
+    /// Convenience for [`Self::Max`]
     pub fn bottom() -> Self {
         Self::Max
     }
diff --git a/egui/src/containers/area.rs b/egui/src/containers/area.rs
index 142492f9..c8f7db45 100644
--- a/egui/src/containers/area.rs
+++ b/egui/src/containers/area.rs
@@ -29,7 +29,17 @@ impl State {
 
 /// An area on the screen that can be moved by dragging.
 ///
-/// This forms the base of the `Window` container.
+/// This forms the base of the [`Window`] container.
+///
+/// ```
+/// # let mut ctx = egui::CtxRef::default();
+/// # ctx.begin_frame(Default::default());
+/// # let ctx = &ctx;
+/// egui::Area::new("my_area")
+///     .fixed_pos(egui::pos2(32.0, 32.0))
+///     .show(ctx, |ui| {
+///         ui.label("Floating text!");
+///     });
 #[derive(Clone, Copy, Debug)]
 pub struct Area {
     id: Id,
diff --git a/egui/src/containers/mod.rs b/egui/src/containers/mod.rs
index 1fd7ef80..d287a6a8 100644
--- a/egui/src/containers/mod.rs
+++ b/egui/src/containers/mod.rs
@@ -1,6 +1,6 @@
-//! Containers are pieces of the UI which wraps other pieces of UI. Examples: `Window`, `ScrollArea`, `Resize`, etc.
+//! Containers are pieces of the UI which wraps other pieces of UI. Examples: [`Window`], [`ScrollArea`], [`Resize`], etc.
 //!
-//! For instance, a `Frame` adds a frame and background to some contained UI.
+//! For instance, a [`Frame`] adds a frame and background to some contained UI.
 
 pub(crate) mod area;
 pub(crate) mod collapsing_header;
diff --git a/egui/src/containers/panel.rs b/egui/src/containers/panel.rs
index e9e02a07..20d30822 100644
--- a/egui/src/containers/panel.rs
+++ b/egui/src/containers/panel.rs
@@ -8,7 +8,16 @@ use crate::*;
 
 /// A panel that covers the entire left side of the screen.
 ///
-/// Panels should be added before adding any `Window`s.
+/// `SidePanel`s should be added before adding any [`Window`]s.
+///
+/// ```
+/// # let mut ctx = egui::CtxRef::default();
+/// # ctx.begin_frame(Default::default());
+/// # let ctx = &ctx;
+/// egui::SidePanel::left("my_side_panel", 0.0).show(ctx, |ui| {
+///    ui.label("Hello World!");
+/// });
+/// ```
 pub struct SidePanel {
     id: Id,
     max_width: f32,
@@ -56,7 +65,16 @@ impl SidePanel {
 
 /// A panel that covers the entire top side of the screen.
 ///
-/// Panels should be added before adding any `Window`s.
+/// `TopPanel`s should be added before adding any [`Window`]s.
+///
+/// ```
+/// # let mut ctx = egui::CtxRef::default();
+/// # ctx.begin_frame(Default::default());
+/// # let ctx = &ctx;
+/// egui::TopPanel::top("my_top_panel").show(ctx, |ui| {
+///    ui.label("Hello World!");
+/// });
+/// ```
 pub struct TopPanel {
     id: Id,
     max_height: Option<f32>,
@@ -108,7 +126,16 @@ impl TopPanel {
 /// i.e. whatever area is left after adding other panels.
 ///
 /// `CentralPanel` should be added after all other panels.
-/// Any `Window`s and `Area`s will cover the `CentralPanel`.
+/// Any [`Window`]s and [`Area`]s will cover the `CentralPanel`.
+///
+/// ```
+/// # let mut ctx = egui::CtxRef::default();
+/// # ctx.begin_frame(Default::default());
+/// # let ctx = &ctx;
+/// egui::CentralPanel::default().show(ctx, |ui| {
+///    ui.label("Hello World!");
+/// });
+/// ```
 #[derive(Default)]
 pub struct CentralPanel {}
 
diff --git a/egui/src/containers/window.rs b/egui/src/containers/window.rs
index 7cf248f0..82b8b730 100644
--- a/egui/src/containers/window.rs
+++ b/egui/src/containers/window.rs
@@ -12,6 +12,14 @@ use super::*;
 /// * if the window has a scroll area (off by default)
 /// * if the window can be collapsed (minimized) to just the title bar (yes, by default)
 /// * if there should be a close button (none by default)
+///
+/// ```
+/// # let mut ctx = egui::CtxRef::default();
+/// # ctx.begin_frame(Default::default());
+/// # let ctx = &ctx;
+/// egui::Window::new("My Window").show(ctx, |ui| {
+///    ui.label("Hello World!");
+/// });
 pub struct Window<'open> {
     title_label: Label,
     open: Option<&'open mut bool>,
@@ -24,7 +32,7 @@ pub struct Window<'open> {
 }
 
 impl<'open> Window<'open> {
-    /// The window title is used as a unique Id and must be unique, and should not change.
+    /// The window title is used as a unique [`Id`] and must be unique, and should not change.
     /// This is true even if you disable the title bar with `.title_bar(false)`.
     pub fn new(title: impl Into<String>) -> Self {
         let title = title.into();
diff --git a/egui/src/context.rs b/egui/src/context.rs
index 789fb1f9..87d8e44f 100644
--- a/egui/src/context.rs
+++ b/egui/src/context.rs
@@ -64,7 +64,7 @@ impl FrameState {
     pub fn available_rect(&self) -> Rect {
         debug_assert!(
             self.available_rect.is_finite(),
-            "Called `available_rect()` before `begin_frame()`"
+            "Called `available_rect()` before `CtxRef::begin_frame()`"
         );
         self.available_rect
     }
@@ -101,8 +101,8 @@ impl FrameState {
 
 // ----------------------------------------------------------------------------
 
-/// A wrapper around `CtxRef`.
-/// This is how you will normally access a [`Context`].
+/// A wrapper around [`Arc`](std::sync::Arc)`<`[`Context`]`>`.
+/// This is how you will normally create and access a [`Context`].
 #[derive(Clone)]
 pub struct CtxRef(std::sync::Arc<Context>);
 
@@ -145,7 +145,7 @@ impl Default for CtxRef {
 
 impl CtxRef {
     /// Call at the start of every frame.
-    /// Put your widgets into a `SidePanel`, `TopPanel`, `CentralPanel`, `Window` or `Area`.
+    /// Put your widgets into a [`SidePanel`], [`TopPanel`], [`CentralPanel`], [`Window`] or [`Area`].
     pub fn begin_frame(&mut self, new_input: RawInput) {
         let mut self_: Context = (*self.0).clone();
         self_.begin_frame_mut(new_input);
@@ -154,8 +154,8 @@ impl CtxRef {
 
     // ---------------------------------------------------------------------
 
-    /// If the given `Id` is not unique, an error will be printed at the given position.
-    /// Call this for `Id`:s that need interaction or persistence.
+    /// If the given [`Id`] is not unique, an error will be printed at the given position.
+    /// Call this for [`Id`]:s that need interaction or persistence.
     pub(crate) fn register_interaction_id(&self, id: Id, new_pos: Pos2) {
         let prev_pos = self.memory().used_ids.insert(id, new_pos);
         if let Some(prev_pos) = prev_pos {
@@ -352,12 +352,9 @@ impl CtxRef {
 
 // ----------------------------------------------------------------------------
 
-/// Thi is the first thing you need when working with Egui.
+/// This is the first thing you need when working with Egui. Create using [`CtxRef`].
 ///
-/// Contains the input state, memory, options and output.
-/// `Ui`:s keep an `Arc` pointer to this.
-/// This allows us to create several child `Ui`:s at once,
-/// all working against the same shared Context.
+/// Contains the [`InputState`], [`Memory`], [`Output`], options and more.
 // TODO: too many mutexes. Maybe put it all behind one Mutex instead.
 #[derive(Default)]
 pub struct Context {
@@ -442,17 +439,17 @@ impl Context {
         &self.input
     }
 
-    /// Not valid until first call to `begin_frame()`
+    /// Not valid until first call to [`CtxRef::begin_frame()`].
     /// That's because since we don't know the proper `pixels_per_point` until then.
     pub fn fonts(&self) -> &Fonts {
         &*self
             .fonts
             .as_ref()
-            .expect("No fonts available until first call to Context::begin_frame()`")
+            .expect("No fonts available until first call to CtxRef::begin_frame()")
     }
 
-    /// The Egui texture, containing font characters etc..
-    /// Not valid until first call to `begin_frame()`
+    /// The Egui texture, containing font characters etc.
+    /// Not valid until first call to [`CtxRef::begin_frame()`].
     /// That's because since we don't know the proper `pixels_per_point` until then.
     pub fn texture(&self) -> Arc<paint::Texture> {
         self.fonts().texture()
@@ -464,14 +461,17 @@ impl Context {
         self.options.lock().font_definitions = font_definitions;
     }
 
+    /// The [`Style`] used by all new windows, panels etc.
     pub fn style(&self) -> Arc<Style> {
         self.options.lock().style.clone()
     }
 
+    /// The [`Style`] used by all new windows, panels etc.
     pub fn set_style(&self, style: impl Into<Arc<Style>>) {
         self.options.lock().style = style.into();
     }
 
+    /// The number of physical pixels for each logical point.
     pub fn pixels_per_point(&self) -> f32 {
         self.input.pixels_per_point()
     }
@@ -643,22 +643,21 @@ impl Context {
     }
 
     /// True if Egui is currently interested in the mouse.
-    /// Could be the mouse is hovering over a Egui window,
-    /// or the user is dragging an Egui widget.
-    /// If false, the mouse is outside of any Egui area and so
+    /// Could be the mouse is hovering over a [`Window`] or the user is dragging a widget.
+    /// If `false`, the mouse is outside of any Egui area and so
     /// you may be interested in what it is doing (e.g. controlling your game).
-    /// Returns `false` if a drag starts outside of Egui and then moves over an Egui window.
+    /// Returns `false` if a drag started outside of Egui and then moved over an Egui area.
     pub fn wants_mouse_input(&self) -> bool {
         self.is_using_mouse() || (self.is_mouse_over_area() && !self.input().mouse.down)
     }
 
     /// Is Egui currently using the mouse position (e.g. dragging a slider).
-    /// NOTE: this will return false if the mouse is just hovering over an Egui window.
+    /// NOTE: this will return `false` if the mouse is just hovering over an Egui area.
     pub fn is_using_mouse(&self) -> bool {
         self.memory().interaction.is_using_mouse()
     }
 
-    /// If true, Egui is currently listening on text input (e.g. typing text in a `TextEdit`).
+    /// If `true`, Egui is currently listening on text input (e.g. typing text in a [`TextEdit`]).
     pub fn wants_keyboard_input(&self) -> bool {
         self.memory().interaction.kb_focus_id.is_some()
     }
@@ -687,7 +686,7 @@ impl Context {
     /// Calling this with `value = true` will always yield a number larger than zero, quickly going towards one.
     /// Calling this with `value = false` will always yield a number less than one, quickly going towards zero.
     ///
-    /// The function will call `request_repaint()` when appropriate.
+    /// The function will call [`Self::request_repaint()`] when appropriate.
     pub fn animate_bool(&self, id: Id, value: bool) -> f32 {
         let animation_time = self.style().animation_time;
         let animated_value =
diff --git a/egui/src/demos/mod.rs b/egui/src/demos/mod.rs
index 442ec7bc..3febdf53 100644
--- a/egui/src/demos/mod.rs
+++ b/egui/src/demos/mod.rs
@@ -59,7 +59,8 @@ pub fn warn_if_debug_build(ui: &mut crate::Ui) {
 
 // ----------------------------------------------------------------------------
 
-/// Create a `Hyperlink` to this file (and line) on Github
+/// Create a [`Hyperlink`](crate::Hyperlink) to this file (and line) on Github
+///
 /// Example: `ui.add(github_link_file_line!("https://github.com/YOUR/PROJECT/blob/master/", "(source code)"));`
 #[macro_export]
 macro_rules! github_link_file_line {
@@ -69,7 +70,8 @@ macro_rules! github_link_file_line {
     }};
 }
 
-/// Create a `Hyperlink` to this file on github.
+/// Create a [`Hyperlink`](crate::Hyperlink) to this file on github.
+///
 /// Example: `ui.add(github_link_file!("https://github.com/YOUR/PROJECT/blob/master/", "(source code)"));`
 #[macro_export]
 macro_rules! github_link_file {
@@ -79,7 +81,7 @@ macro_rules! github_link_file {
     }};
 }
 
-/// Create a `Hyperlink` to this egui source code file on github.
+/// Create a [`Hyperlink`](crate::Hyperlink) to this egui source code file on github.
 #[doc(hidden)]
 #[macro_export]
 macro_rules! __egui_github_link_file {
@@ -91,7 +93,7 @@ macro_rules! __egui_github_link_file {
     };
 }
 
-/// Create a `Hyperlink` to this egui source code file and line on github.
+/// Create a [`Hyperlink`](crate::Hyperlink) to this egui source code file and line on github.
 #[doc(hidden)]
 #[macro_export]
 macro_rules! __egui_github_link_file_line {
diff --git a/egui/src/input.rs b/egui/src/input.rs
index 570b8754..4271c32d 100644
--- a/egui/src/input.rs
+++ b/egui/src/input.rs
@@ -7,7 +7,7 @@ const MAX_CLICK_DIST: f32 = 6.0;
 /// The new mouse press must come within this many seconds from previous mouse release
 const MAX_CLICK_DELAY: f64 = 0.3;
 
-/// What the backend provides to Egui at the start of each frame.
+/// What the integrations provides to Egui at the start of each frame.
 ///
 /// Set the values that make sense, leave the rest at their `Default::default()`.
 ///
@@ -94,7 +94,7 @@ impl RawInput {
     }
 }
 
-/// What egui maintains
+/// Input state that Egui updates each frame.
 #[derive(Clone, Debug)]
 pub struct InputState {
     /// The raw input we got this frame
@@ -146,7 +146,7 @@ impl Default for InputState {
     }
 }
 
-/// What egui maintains
+/// Mouse (or touch) state.
 #[derive(Clone, Debug)]
 pub struct MouseInput {
     /// Is the button currently down?
@@ -212,13 +212,18 @@ impl Default for MouseInput {
     }
 }
 
-/// An input event. Only covers events used by Egui.
+/// An input event generated by the integration.
+///
+/// This only covers events that Egui cares about.
 #[derive(Clone, Debug, Eq, PartialEq)]
 pub enum Event {
+    /// The integration detected a "copy" event (e.g. Cmd+C).
     Copy,
+    /// The integration detected a "cut" event (e.g. Cmd+X).
     Cut,
     /// Text input, e.g. via keyboard or paste action.
-    /// Do not pass '\n', '\r' here, but send `Key::Enter` instead.
+    ///
+    /// When the user presses enter/return, do not send a `Text` (just [`Key::Enter`]).
     Text(String),
     Key {
         key: Key,
diff --git a/egui/src/layers.rs b/egui/src/layers.rs
index d1e2caae..68acd66d 100644
--- a/egui/src/layers.rs
+++ b/egui/src/layers.rs
@@ -38,7 +38,7 @@ impl Order {
 }
 
 /// An identifier for a paint layer.
-/// Also acts as an identifier for `Area`:s.
+/// Also acts as an identifier for [`Area`]:s.
 #[derive(Clone, Copy, Debug, Hash, Eq, PartialEq)]
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 pub struct LayerId {
@@ -70,11 +70,11 @@ impl LayerId {
     }
 }
 
-/// A unique identifier of a specific `PaintCmd` in a `PaintList`.
+/// A unique identifier of a specific [`PaintCmd`] in a [`PaintList`].
 #[derive(Clone, Copy, PartialEq)]
 pub struct PaintCmdIdx(usize);
 
-/// Each `PaintCmd` is paired with a clip rectangle.
+/// A list of [`PaintCmd`]s paired with a clip rectangle.
 #[derive(Clone, Default)]
 pub struct PaintList(Vec<(Rect, PaintCmd)>);
 
diff --git a/egui/src/layout.rs b/egui/src/layout.rs
index 23c01797..901bb7db 100644
--- a/egui/src/layout.rs
+++ b/egui/src/layout.rs
@@ -2,8 +2,8 @@ use crate::{math::*, Align};
 
 // ----------------------------------------------------------------------------
 
-/// This describes the bounds and existing contents of an `Ui`.
-/// It is what is used and updated by `Layout` when adding new widgets.
+/// This describes the bounds and existing contents of an [`Ui`][`crate::Ui`].
+/// It is what is used and updated by [`Layout`] when adding new widgets.
 #[derive(Clone, Copy, Debug)]
 pub struct Region {
     /// This is the minimal size of the `Ui`.
@@ -64,7 +64,7 @@ impl Region {
 
 // ----------------------------------------------------------------------------
 
-/// Main layout direction
+/// Layout direction, one of `LeftToRight`, `RightToLeft`, `TopDown`, `BottomUp`.
 #[derive(Clone, Copy, Debug, PartialEq)]
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 #[cfg_attr(feature = "serde", serde(rename_all = "snake_case"))]
@@ -93,7 +93,7 @@ impl Direction {
 
 // ----------------------------------------------------------------------------
 
-/// The layout of a `Ui`, e.g. horizontal left-aligned.
+/// The layout of a [`Ui`][`crate::Ui`], e.g. "vertical & centered".
 #[derive(Clone, Copy, Debug, PartialEq)]
 // #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 pub struct Layout {
diff --git a/egui/src/lib.rs b/egui/src/lib.rs
index 77e61ae2..21a9ee85 100644
--- a/egui/src/lib.rs
+++ b/egui/src/lib.rs
@@ -3,9 +3,9 @@
 //! To get started with Egui, you can use one of the available integrations
 //! such as [`egui_web`](https://crates.io/crates/egui_web) or  [`egui_glium`](https://crates.io/crates/egui_glium).
 //!
-//! Whatever you use, you need an `egui::Context` (by convention referred to by `ctx`).
-//! With it you can then get access to an `Ui` where you can put widgets.
-//! Use one of `SidePanel`, `TopPanel`, `CentralPanel`, `Window` or `Area`. For instace:
+//! Whatever you use, you need an [`CtxRef`] (by convention referred to by `ctx`).
+//! Use one of [`SidePanel`], [`TopPanel`], [`CentralPanel`], [`Window`] or [`Area`] to
+//! get access to an [`Ui`] where you can put widgets. For example:
 //!
 //! ```
 //! # let mut ctx = egui::CtxRef::default();
@@ -27,7 +27,7 @@
 //!     egui_ctx.begin_frame(raw_input);
 //!     my_app.ui(&egui_ctx); // add panels, windows and widgets to `egui_ctx` here
 //!     let (output, paint_commands) = egui_ctx.end_frame();
-//!     let paint_jobs = self.ctx.tesselate(paint_commands); // create triangles to paint
+//!     let paint_jobs = egui_ctx.tesselate(paint_commands); // create triangles to paint
 //!     my_integration.paint(paint_jobs);
 //!     my_integration.set_cursor_icon(output.cursor_icon);
 //!     // Also see `egui::Output` for more
@@ -56,6 +56,8 @@
     clippy::match_wildcard_for_single_variants,
     clippy::mem_forget,
     clippy::mismatched_target_os,
+    clippy::missing_errors_doc,
+    clippy::missing_safety_doc,
     clippy::needless_borrow,
     clippy::needless_continue,
     clippy::needless_pass_by_value,
@@ -67,8 +69,12 @@
     clippy::unnested_or_patterns,
     clippy::verbose_file_reads,
     future_incompatible,
+    missing_crate_level_docs,
+    missing_doc_code_examples,
+    // missing_docs,
     nonstandard_style,
-    rust_2018_idioms
+    rust_2018_idioms,
+    unused_doc_comments,
 )]
 
 pub mod align;
diff --git a/egui/src/math/mod.rs b/egui/src/math/mod.rs
index 1dc2012a..dd669482 100644
--- a/egui/src/math/mod.rs
+++ b/egui/src/math/mod.rs
@@ -1,4 +1,8 @@
 //! Vectors, positions, rectangles etc.
+//!
+//! Conventions (unless otherwise specified):
+//! * All angles are in radians
+//! * All metrics are in points (logical pixels)
 
 use std::ops::{Add, Div, Mul, RangeInclusive, Sub};
 
@@ -14,6 +18,7 @@ pub use {pos2::*, rect::*, rot2::*, vec2::*};
 
 // ----------------------------------------------------------------------------
 
+/// Helper trait to implement [`lerp`] and [`remap`].
 pub trait One {
     fn one() -> Self;
 }
@@ -28,6 +33,7 @@ impl One for f64 {
     }
 }
 
+/// Helper trait to implement [`lerp`] and [`remap`].
 pub trait Real:
     Copy
     + PartialEq
@@ -151,7 +157,8 @@ pub(crate) fn format_with_decimals_in_range(
     }
 }
 
-/// Should return true when arguments are the same within some rounding error.
+/// Return true when arguments are the same within some rounding error.
+///
 /// For instance `almost_equal(x, x.to_degrees().to_radians(), f32::EPSILON)` should hold true for all x.
 /// The `epsilon`  can be `f32::EPSILON` to handle simple transforms (like degrees -> radians)
 /// but should be higher to handle more complex transformations.
@@ -223,6 +230,7 @@ fn test_remap() {
 
 // ----------------------------------------------------------------------------
 
+/// Extends `f32`, `Vec2` etc with `at_least` and `at_most` as aliases for `max` and `min`.
 pub trait NumExt {
     /// More readable version of `self.max(lower_limit)`
     fn at_least(self, lower_limit: Self) -> Self;
@@ -231,62 +239,21 @@ pub trait NumExt {
     fn at_most(self, upper_limit: Self) -> Self;
 }
 
-impl NumExt for f32 {
-    /// More readable version of `self.max(lower_limit)`
-    fn at_least(self, lower_limit: Self) -> Self {
-        self.max(lower_limit)
-    }
-
-    /// More readable version of `self.min(upper_limit)`
-    fn at_most(self, upper_limit: Self) -> Self {
-        self.min(upper_limit)
-    }
+macro_rules! impl_num_ext {
+    ($t: ty) => {
+        impl NumExt for $t {
+            fn at_least(self, lower_limit: Self) -> Self {
+                self.max(lower_limit)
+            }
+            fn at_most(self, upper_limit: Self) -> Self {
+                self.min(upper_limit)
+            }
+        }
+    };
 }
 
-impl NumExt for f64 {
-    /// More readable version of `self.max(lower_limit)`
-    fn at_least(self, lower_limit: Self) -> Self {
-        self.max(lower_limit)
-    }
-
-    /// More readable version of `self.min(upper_limit)`
-    fn at_most(self, upper_limit: Self) -> Self {
-        self.min(upper_limit)
-    }
-}
-
-impl NumExt for usize {
-    /// More readable version of `self.max(lower_limit)`
-    fn at_least(self, lower_limit: Self) -> Self {
-        self.max(lower_limit)
-    }
-
-    /// More readable version of `self.min(upper_limit)`
-    fn at_most(self, upper_limit: Self) -> Self {
-        self.min(upper_limit)
-    }
-}
-
-impl NumExt for Vec2 {
-    /// More readable version of `self.max(lower_limit)`
-    fn at_least(self, lower_limit: Self) -> Self {
-        self.max(lower_limit)
-    }
-
-    /// More readable version of `self.min(upper_limit)`
-    fn at_most(self, upper_limit: Self) -> Self {
-        self.min(upper_limit)
-    }
-}
-
-impl NumExt for Pos2 {
-    /// More readable version of `self.max(lower_limit)`
-    fn at_least(self, lower_limit: Self) -> Self {
-        self.max(lower_limit)
-    }
-
-    /// More readable version of `self.min(upper_limit)`
-    fn at_most(self, upper_limit: Self) -> Self {
-        self.min(upper_limit)
-    }
-}
+impl_num_ext!(f32);
+impl_num_ext!(f64);
+impl_num_ext!(usize);
+impl_num_ext!(Vec2);
+impl_num_ext!(Pos2);
diff --git a/egui/src/math/pos2.rs b/egui/src/math/pos2.rs
index c2310217..5ece56a8 100644
--- a/egui/src/math/pos2.rs
+++ b/egui/src/math/pos2.rs
@@ -2,10 +2,12 @@ use std::ops::{Add, AddAssign, RangeInclusive, Sub, SubAssign};
 
 use crate::math::*;
 
-// Sometimes called a Point. I prefer the shorter `Pos2` so it is equal length to `Vec2`
 /// A position on screen.
 ///
-/// Normally given in points, e.g. logical pixels.
+/// Normally given in points (logical pixels).
+///
+/// Mathematically this is known as a "point", but the term position was chosen so not to
+/// conflict with the unit (one point = X physical pixels).
 #[derive(Clone, Copy, Default)]
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 pub struct Pos2 {
@@ -14,6 +16,8 @@ pub struct Pos2 {
     // implicit w = 1
 }
 
+/// `pos2(x,y) == Pos2::new(x, y)`
+#[inline(always)]
 pub const fn pos2(x: f32, y: f32) -> Pos2 {
     Pos2 { x, y }
 }
@@ -35,6 +39,8 @@ impl Pos2 {
         Self { x, y }
     }
 
+    /// The vector from origin to this position.
+    /// `p.to_vec2()` is equivalent to `p - Pos2::default()`.
     pub fn to_vec2(self) -> Vec2 {
         Vec2 {
             x: self.x,
diff --git a/egui/src/math/rot2.rs b/egui/src/math/rot2.rs
index 0782c941..d8b9e687 100644
--- a/egui/src/math/rot2.rs
+++ b/egui/src/math/rot2.rs
@@ -8,7 +8,7 @@ use super::Vec2;
 // `vec2(c,s)` represents where the X axis will end up after rotation.
 //
 /// Represents a rotation in the 2D plane.
-/// A rotation of 90° rotates the X axis to the Y axis.
+/// A rotation of 𝞃/4 = 90° rotates the X axis to the Y axis.
 /// Normally a `Rot2` is normalized (unit-length).
 /// If not, it will also scale vectors.
 #[derive(Clone, Copy, PartialEq)]
@@ -32,7 +32,7 @@ impl Rot2 {
         Self { s: 0.0, c: 1.0 }
     }
 
-    /// A `TAU / 4.0` rotation means rotating the X axis to the Y axis.
+    /// A 𝞃/4 = 90° rotation means rotating the X axis to the Y axis.
     pub fn from_angle(angle: f32) -> Self {
         let (s, c) = angle.sin_cos();
         Self { s, c }
diff --git a/egui/src/math/smart_aim.rs b/egui/src/math/smart_aim.rs
index b6770739..f0768e03 100644
--- a/egui/src/math/smart_aim.rs
+++ b/egui/src/math/smart_aim.rs
@@ -1,3 +1,5 @@
+//! Find "simple" numbers is some range. Used by sliders.
+
 #![allow(clippy::float_cmp)] // I know what I'm doing
 
 const NUM_DECIMALS: usize = 15;
diff --git a/egui/src/math/vec2.rs b/egui/src/math/vec2.rs
index b4d58365..e5b8877e 100644
--- a/egui/src/math/vec2.rs
+++ b/egui/src/math/vec2.rs
@@ -2,9 +2,12 @@ use std::ops::{Add, AddAssign, Div, Mul, MulAssign, Neg, RangeInclusive, Sub, Su
 
 use crate::math::*;
 
-/// A size or direction in 2D space.
+/// A vector has a direction and length.
+/// A [`Vec2`] is often used to represent a size.
 ///
-/// Normally given in points, e.g. logical pixels.
+/// Egui represents positions using [`Pos2`].
+///
+/// Normally the units are points (logical pixels).
 #[derive(Clone, Copy, Default)]
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 pub struct Vec2 {
@@ -12,6 +15,7 @@ pub struct Vec2 {
     pub y: f32,
 }
 
+/// `vec2(x,y) == Vec2::new(x, y)`
 #[inline(always)]
 pub const fn vec2(x: f32, y: f32) -> Vec2 {
     Vec2 { x, y }
@@ -75,6 +79,9 @@ impl Vec2 {
         self.x * self.x + self.y * self.y
     }
 
+    /// Create a unit vector with the given angle (in radians).
+    /// * An angle of zero gives the unit X axis.
+    /// * An angle of 𝞃/4 = 90° gives the unit Y axis.
     pub fn angled(angle: f32) -> Self {
         vec2(angle.cos(), angle.sin())
     }
@@ -94,6 +101,7 @@ impl Vec2 {
         vec2(self.x.ceil(), self.y.ceil())
     }
 
+    /// True if all members are also finite.
     pub fn is_finite(self) -> bool {
         self.x.is_finite() && self.y.is_finite()
     }
diff --git a/egui/src/paint/command.rs b/egui/src/paint/command.rs
index 561549ec..f6220b73 100644
--- a/egui/src/paint/command.rs
+++ b/egui/src/paint/command.rs
@@ -7,7 +7,7 @@ use {
     },
 };
 
-// TODO: rename, e.g. `paint::Cmd`?
+/// A paint primitive such as a circle or a piece of text.
 #[derive(Clone, Debug)]
 pub enum PaintCmd {
     /// Paint nothing. This can be useful as a placeholder.
diff --git a/egui/src/paint/mod.rs b/egui/src/paint/mod.rs
index b62aad3d..7d28586d 100644
--- a/egui/src/paint/mod.rs
+++ b/egui/src/paint/mod.rs
@@ -1,6 +1,4 @@
-//! Graphics module.
-//!
-//! Handles fonts, textures, color, geometry and tesselation.
+//! 2D graphics/rendering. Fonts, textures, color, geometry, tesselation etc.
 
 pub mod color;
 pub mod command;
diff --git a/egui/src/painter.rs b/egui/src/painter.rs
index 58eb1fb6..68b86c60 100644
--- a/egui/src/painter.rs
+++ b/egui/src/painter.rs
@@ -8,6 +8,8 @@ use crate::{
 };
 
 /// Helper to paint shapes and text to a specific region on a specific layer.
+///
+/// All coordinates are screen coordinates in the unit points (one point can consist of many physical pixels).
 #[derive(Clone)]
 pub struct Painter {
     /// Source of fonts and destination of paint commands
diff --git a/egui/src/style.rs b/egui/src/style.rs
index 73156b54..cd715a7d 100644
--- a/egui/src/style.rs
+++ b/egui/src/style.rs
@@ -7,7 +7,7 @@ use crate::{
     types::*,
 };
 
-/// Specifies the look and feel of a `Ui`.
+/// Specifies the look and feel of a [`Ui`].
 #[derive(Clone, Debug, PartialEq)]
 #[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
 pub struct Style {
diff --git a/egui/src/types.rs b/egui/src/types.rs
index fc5aa7da..01e3de29 100644
--- a/egui/src/types.rs
+++ b/egui/src/types.rs
@@ -22,6 +22,9 @@ pub struct Output {
     pub needs_repaint: bool,
 }
 
+/// A mouse cursor icon.
+///
+/// Egui emits a `CursorIcond` in [`Output`] each frame as a request to the integration.
 #[derive(Clone, Copy)]
 // #[cfg_attr(feature = "serde", derive(serde::Serialize))]
 // #[cfg_attr(feature = "serde", serde(rename_all = "snake_case"))]
@@ -47,7 +50,7 @@ impl Default for CursorIcon {
 
 // ----------------------------------------------------------------------------
 
-/// The result of adding a widget to an `Ui`.
+/// The result of adding a widget to a [`Ui`].
 ///
 /// This lets you know whether or not a widget has been clicked this frame.
 /// It also lets you easily show a tooltip on hover.
@@ -67,7 +70,7 @@ pub struct Response {
     /// The area of the screen we are talking about.
     pub rect: Rect,
 
-    /// The senses (click or drag) that the widget is interested in (if any).
+    /// The senses (click and/or drag) that the widget was interested in (if any).
     pub sense: Sense,
 
     // OUT:
@@ -88,8 +91,17 @@ pub struct Response {
 
     /// The widget had keyboard focus and lost it,
     /// perhaps because the user pressed enter.
-    /// This is often a signal to the user to the application
-    /// to make use of the contents of the text field.
+    /// If you want to do an action when a user presses enter in a text field,
+    /// use this.
+    ///
+    /// ```
+    /// # let mut ui = egui::Ui::__test();
+    /// # let mut my_text = String::new();
+    /// # fn do_request(_: &str) {}
+    /// if ui.text_edit_singleline(&mut my_text).lost_kb_focus {
+    ///     do_request(&my_text);
+    /// }
+    /// ```
     pub lost_kb_focus: bool,
 }
 
@@ -246,6 +258,7 @@ impl Sense {
         Sense::hover()
     }
 
+    /// Sense clicks and hover, but not drags.
     pub fn click() -> Self {
         Self {
             click: true,
@@ -253,6 +266,7 @@ impl Sense {
         }
     }
 
+    /// Sense drags and hover, but not clicks.
     pub fn drag() -> Self {
         Self {
             click: false,
@@ -260,7 +274,7 @@ impl Sense {
         }
     }
 
-    /// e.g. a slider or window
+    /// Sense both clicks, drags and hover (e.g. a slider or window).
     pub fn click_and_drag() -> Self {
         Self {
             click: true,
@@ -268,6 +282,7 @@ impl Sense {
         }
     }
 
+    /// The logical "or" of two `Sense`s.
     #[must_use]
     pub fn union(self, other: Self) -> Self {
         Self {
diff --git a/egui/src/ui.rs b/egui/src/ui.rs
index 326a3816..b6c8bba5 100644
--- a/egui/src/ui.rs
+++ b/egui/src/ui.rs
@@ -4,8 +4,19 @@ use std::{hash::Hash, sync::Arc};
 
 use crate::{color::*, containers::*, layout::*, mutex::MutexGuard, paint::*, widgets::*, *};
 
-/// Represents a region of the screen
-/// with a type of layout (horizontal or vertical).
+/// This is what you use to place widgets.
+///
+/// Represents a region of the screen with a type of layout (horizontal or vertical).
+///
+/// ```
+/// # let mut ui = egui::Ui::__test();
+/// ui.add(egui::Label::new("Hello World!"));
+/// ui.label("A shorter and more convenient way to add a label.");
+/// ui.horizontal(|ui| {
+///     ui.label("Add widgets");
+///     ui.button("on the same row!");
+/// });
+/// ```
 pub struct Ui {
     /// ID of this ui.
     /// Generated based on id of parent ui together with
@@ -81,6 +92,7 @@ impl Ui {
 
     // -------------------------------------------------
 
+    /// A unique identity of this `Ui`.
     pub fn id(&self) -> Id {
         self.id
     }
@@ -96,10 +108,12 @@ impl Ui {
         Arc::make_mut(&mut self.style) // clone-on-write
     }
 
+    /// Changes apply to this `Ui` and its subsequent children.
     pub fn set_style(&mut self, style: impl Into<Arc<Style>>) {
         self.style = style.into();
     }
 
+    /// Get a reference to the parent [`CtxRef`].
     pub fn ctx(&self) -> &CtxRef {
         self.painter.ctx()
     }
@@ -588,6 +602,17 @@ impl Ui {
 
 /// # Adding widgets
 impl Ui {
+    /// Add a widget to this `Ui` at a location dependent on the current [`Layout`].
+    ///
+    /// The returned [`Response`] can be used to check for interactions,
+    /// as well as adding tooltips using [`Response::on_hover_text`].
+    ///
+    /// ```
+    /// # let mut ui = egui::Ui::__test();
+    /// # let mut my_value = 42;
+    /// let response = ui.add(egui::Slider::i32(&mut my_value, 0..=100));
+    /// response.on_hover_text("Drag me!");
+    /// ```
     pub fn add(&mut self, widget: impl Widget) -> Response {
         widget.ui(self)
     }
diff --git a/egui/src/util/mod.rs b/egui/src/util/mod.rs
index e780c6c3..84862cf2 100644
--- a/egui/src/util/mod.rs
+++ b/egui/src/util/mod.rs
@@ -1,4 +1,4 @@
-//! Tools used by Egui, but that doesn't depend on anything in Egui.
+//! Miscellaneous tools used by the rest of Egui.
 
 pub(crate) mod cache;
 mod history;
diff --git a/egui/src/widgets/button.rs b/egui/src/widgets/button.rs
index 963aa61e..87b061d1 100644
--- a/egui/src/widgets/button.rs
+++ b/egui/src/widgets/button.rs
@@ -1,5 +1,6 @@
 use crate::*;
 
+/// A clickable image within a frame.
 #[must_use = "You should put this widget in an ui with `ui.add(widget);`"]
 #[derive(Clone, Debug)]
 pub struct ImageButton {
diff --git a/egui/src/widgets/drag_value.rs b/egui/src/widgets/drag_value.rs
index dec0e0ce..f5635c89 100644
--- a/egui/src/widgets/drag_value.rs
+++ b/egui/src/widgets/drag_value.rs
@@ -16,7 +16,7 @@ fn set(value_function: &mut GetSetValue<'_>, value: f64) {
     (value_function)(Some(value));
 }
 
-/// A floating point value that you can change by dragging the number. More compact than a slider.
+/// A numeric value that you can change by dragging the number. More compact than a [`Slider`].
 pub struct DragValue<'a> {
     value_function: GetSetValue<'a>,
     speed: f32,
diff --git a/egui/src/widgets/image.rs b/egui/src/widgets/image.rs
index 319794bf..2e8c806f 100644
--- a/egui/src/widgets/image.rs
+++ b/egui/src/widgets/image.rs
@@ -1,5 +1,6 @@
 use crate::*;
 
+/// An widget to show an image of a given size.
 #[must_use = "You should put this widget in an ui with `ui.add(widget);`"]
 #[derive(Clone, Copy, Debug)]
 pub struct Image {
diff --git a/egui/src/widgets/mod.rs b/egui/src/widgets/mod.rs
index 6ef8523d..cc63bf39 100644
--- a/egui/src/widgets/mod.rs
+++ b/egui/src/widgets/mod.rs
@@ -1,4 +1,4 @@
-//! Widgets are pieces of GUI such as labels, buttons, sliders etc.
+//! Widgets are pieces of GUI such as [`Label`], [`Button`], [`Slider`] etc.
 //!
 //! Example widget uses:
 //! * `ui.add(Label::new("Text").text_color(color::red));`
@@ -21,9 +21,10 @@ use paint::*;
 
 // ----------------------------------------------------------------------------
 
-/// Anything implementing Widget can be added to a Ui with `Ui::add`
+/// Anything implementing Widget can be added to a [`Ui`] with [`Ui::add`].
 #[must_use = "You should put this widget in an ui with `ui.add(widget);`"]
 pub trait Widget {
+    /// Allocate space, interact, paint, and return a [`Response`].
     fn ui(self, ui: &mut Ui) -> Response;
 }
 
@@ -627,7 +628,7 @@ impl Widget for RadioButton {
 
 /// One out of several alternatives, either selected or not.
 /// Will mark selected items with a different background color
-/// An alternative to `RadioButton` and `Checkbox`.
+/// An alternative to [`RadioButton`] and [`Checkbox`].
 #[must_use = "You should put this widget in an ui with `ui.add(widget);`"]
 #[derive(Debug)]
 pub struct SelectableLabel {
@@ -690,7 +691,7 @@ impl Widget for SelectableLabel {
 
 // ----------------------------------------------------------------------------
 
-/// A visual separator. A horizontal or vertical line (depending on `Layout`).
+/// A visual separator. A horizontal or vertical line (depending on [`Layout`]).
 #[must_use = "You should put this widget in an ui with `ui.add(widget);`"]
 pub struct Separator {
     spacing: f32,
diff --git a/egui/src/widgets/slider.rs b/egui/src/widgets/slider.rs
index 77aafa73..1704a7f9 100644
--- a/egui/src/widgets/slider.rs
+++ b/egui/src/widgets/slider.rs
@@ -162,7 +162,7 @@ impl<'a> Slider<'a> {
         self
     }
 
-    #[deprecated = "Use fixed_decimals instea"]
+    #[deprecated = "Use fixed_decimals instead"]
     pub fn precision(self, precision: usize) -> Self {
         self.max_decimals(precision)
     }