Add explanation about functions and precedences

README.md

@@ -96,6 +96,9 @@ Supported unary operators:
 | - | 110 | Negation |
 | ! | 110 | Logical not |
 
+Operators with higher precedence have a higher priority when determining the order of evaluation.
+The precedence of variables and values is 200, and the precedence of function literals is 190.
+
 ### Values
 
 Operators take values as arguments and produce values as results.
@@ -114,6 +117,8 @@ Operators that take numbers as arguments can either take integers or floating po
 If one of the arguments is a floating point number, all others are converted to floating point numbers as well, and the resulting value is a floating point number as well.
 Otherwise, the result is an integer.
 
+Values have a precedence of 200.
+
 ### Variables
 
 This crate allows to compile parameterizable formulas by using variables.
@@ -127,15 +132,38 @@ Variables do not have fixed types in the expression itself, but aer typed by the
 The `Configuration` trait contains a function that takes a string literal and returns a `Value` enum.
 The variant of this enum decides the type on evaluation.
 
+Variables have a precedence of 200.
+
 ### Functions
 
 This crate also allows to define arbitrary functions to be used in parsed expressions.
 A function is defined as a `Function` instance.
 It contains two properties, the `argument_amount` and the `function`.
 The `function` is a boxed `Fn(&[Value]) -> Result<Value, Error>`.
-The `argument_amount` is verified on execution by the crate and does not need to be verified by the `function`.
+The `argument_amount` determines the length of the slice that is passed to `function`.
-It determines the length of the slice that is passed to `function`.
+It is verified on execution by the crate and does not need to be verified by the `function`.
-See the examples section above for examples on how to construct a function instance.
+
+Be aware that functions need to verify the types of values that are passed to them.
+The `error` module contains some shortcuts for verification, and error types for passing a wrong value type.
+Also, most numeric functions need to differentiate between being called with integers or floating point numbers, and act accordingly.
+
+Functions are identified by literals, like variables as well.
+A literal identifies a function, if it is followed by an opening brace `(`, another literal, or a value.
+
+Same as variables, function bindings are provided by the user via a `Configuration`.
+Functions have a precedence of 190.
+
+### Examplary variables and functions in expressions:
+
+| Expression | Valid? | Explanation |
+|------------|--------|-------------|
+| `a` | yes | |
+| `abc` | yes | |
+| `a<b` | no | Expression is interpreted as variable `a`, operator `<` and variable `b` |
+| `a b` | no | Expression is interpreted as function `a` applied to argument `b` |
+| `123` | no | Expression is interpreted as `Value::Int` |
+| `true` | no | Expression is interpreted as `Value::Bool` |
+| `.34` | no | Expression is interpreted as `Value::Float` |
 
 ## License
 

src/error/mod.rs

@@ -34,7 +34,7 @@ pub enum Error {
     /// A `FunctionIdentifier` operation did not find its value in the configuration.
     FunctionIdentifierNotFound(String),
 
-    /// A value has the wrong type.
+    /// A value has the wrong type. Only use this if there is no other error that describes the expected and provided types in more detail.
     TypeError,
 
     /// An opening brace without a matching closing brace was found.

src/lib.rs

@@ -86,6 +86,9 @@
 //! | - | 110 | Negation |
 //! | ! | 110 | Logical not |
 //!
+//! Operators with higher precedence have a higher priority when determining the order of evaluation.
+//! The precedence of variables and values is 200, and the precedence of function literals is 190.
+//!
 //! ### Values
 //!
 //! Operators take values as arguments and produce values as results.
@@ -104,6 +107,8 @@
 //! If one of the arguments is a floating point number, all others are converted to floating point numbers as well, and the resulting value is a floating point number as well.
 //! Otherwise, the result is an integer.
 //!
+//! Values have a precedence of 200.
+//!
 //! ### Variables
 //!
 //! This crate allows to compile parameterizable formulas by using variables.
@@ -117,15 +122,38 @@
 //! The `Configuration` trait contains a function that takes a string literal and returns a `Value` enum.
 //! The variant of this enum decides the type on evaluation.
 //!
+//! Variables have a precedence of 200.
+//!
 //! ### Functions
 //!
 //! This crate also allows to define arbitrary functions to be used in parsed expressions.
 //! A function is defined as a `Function` instance.
 //! It contains two properties, the `argument_amount` and the `function`.
 //! The `function` is a boxed `Fn(&[Value]) -> Result<Value, Error>`.
-//! The `argument_amount` is verified on execution by the crate and does not need to be verified by the `function`.
+//! The `argument_amount` determines the length of the slice that is passed to `function`.
-//! It determines the length of the slice that is passed to `function`.
+//! It is verified on execution by the crate and does not need to be verified by the `function`.
-//! See the examples section above for examples on how to construct a function instance.
+//!
+//! Be aware that functions need to verify the types of values that are passed to them.
+//! The `error` module contains some shortcuts for verification, and error types for passing a wrong value type.
+//! Also, most numeric functions need to differentiate between being called with integers or floating point numbers, and act accordingly.
+//!
+//! Functions are identified by literals, like variables as well.
+//! A literal identifies a function, if it is followed by an opening brace `(`, another literal, or a value.
+//!
+//! Same as variables, function bindings are provided by the user via a `Configuration`.
+//! Functions have a precedence of 190.
+//!
+//! ### Examplary variables and functions in expressions:
+//!
+//! | Expression | Valid? | Explanation |
+//! |------------|--------|-------------|
+//! | `a` | yes | |
+//! | `abc` | yes | |
+//! | `a<b` | no | Expression is interpreted as variable `a`, operator `<` and variable `b` |
+//! | `a b` | no | Expression is interpreted as function `a` applied to argument `b` |
+//! | `123` | no | Expression is interpreted as `Value::Int` |
+//! | `true` | no | Expression is interpreted as `Value::Bool` |
+//! | `.34` | no | Expression is interpreted as `Value::Float` |
 //!
 //! ## License
 //!