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diff --git a/platform/darwin/docs/guides/Predicates and Expressions.md b/platform/darwin/docs/guides/Predicates and Expressions.md
index 19d98fd4c1..c3b3d39a52 100644
--- a/platform/darwin/docs/guides/Predicates and Expressions.md
+++ b/platform/darwin/docs/guides/Predicates and Expressions.md
@@ -19,6 +19,8 @@ based on the feature’s attributes. Use the `MGLVectorStyleLayer.predicate`
property to include only the features in the source layer that satisfy a
condition that you define.
+### Operators
+
The following comparison operators are supported:
`NSPredicateOperatorType` | Format string syntax
@@ -31,12 +33,17 @@ The following comparison operators are supported:
`NSNotEqualToPredicateOperatorType` | `key != value`<br />`key <> value`
`NSBetweenPredicateOperatorType` | `key BETWEEN { 32, 212 }`
+To test whether a feature has or lacks a specific attribute, compare the
+attribute to `NULL` or `NIL`. Predicates created using the
+`+[NSPredicate predicateWithValue:]` method are also supported. String
+operators and custom operators are not supported.
+
The following compound operators are supported:
`NSCompoundPredicateType` | Format string syntax
--------------------------|---------------------
`NSAndPredicateType` | `predicate1 AND predicate2`<br />`predicate1 && predicate2`
-`NSOrPredicateType` | `predicate1 OR predicate2`<br />`predicate1 || predicate2`
+`NSOrPredicateType` | `predicate1 OR predicate2`<br /><code>predicate1 &vert;&vert; predicate2</code>
`NSNotPredicateType` | `NOT predicate`<br />`!predicate`
The following aggregate operators are supported:
@@ -46,97 +53,101 @@ The following aggregate operators are supported:
`NSInPredicateOperatorType` | `key IN { 'iOS', 'macOS', 'tvOS', 'watchOS' }`
`NSContainsPredicateOperatorType` | `{ 'iOS', 'macOS', 'tvOS', 'watchOS' } CONTAINS key`
-To test whether a feature has or lacks a specific attribute, compare the
-attribute to `NULL` or `NIL`. Predicates created using the
-`+[NSPredicate predicateWithValue:]` method are also supported. String
-operators and custom operators are not supported.
+Operator modifiers such as `c` (for case insensitivity), `d` (for diacritic
+insensitivity), and `l` (for locale sensitivity) are unsupported for comparison
+and aggregate operators that are used in the predicate.
+
+### Operands
+
+Operands in predicates can be [variables](#variables), [key paths](#key-paths),
+or almost anything else that can appear
+[inside an expression](#using-expressions-to-configure-layout-and-paint-attributes).
+
+Automatic type casting is not performed. Therefore, a feature only matches a
+predicate if its value for the attribute in question is of the same type as the
+value specified in the predicate. Use the `CAST()` operator to convert a key
+path or variable into a matching type:
+
+* To cast a value to a number, use `CAST(key, 'NSNumber')`.
+* To cast a value to a string, use `CAST(key, 'NSString')`.
For details about the predicate format string syntax, consult the “Predicate
Format String Syntax” chapter of the
_[Predicate Programming Guide](https://developer.apple.com/library/content/documentation/Cocoa/Conceptual/Predicates/AdditionalChapters/Introduction.html)_
in Apple developer documentation.
-The predicate's left-hand expression must be a string that identifies a feature
-attribute or, alternatively, one of the following special attributes:
+## Using expressions to configure layout and paint attributes
+
+An expression can contain subexpressions of various types. Each of the supported
+types of expressions is discussed below.
+
+### Constant values
+
+A constant value can be of any of the following types:
+
+In Objective-C | In Swift
+----------------------|---------
+`NSColor` (macOS)<br>`UIColor` (iOS) | `NSColor` (macOS)<br>`UIColor` (iOS)
+`NSString` | `String`
+`NSString` | `String`
+`NSNumber.boolValue` | `NSNumber.boolValue`
+`NSNumber.doubleValue` | `NSNumber.doubleValue`
+`NSArray<NSNumber>` | `[Float]`
+`NSArray<NSString>` | `[String]`
+`NSValue.CGVectorValue` (iOS)<br>`NSValue` containing `CGVector` (macOS) | `NSValue.cgVectorValue` (iOS)<br>`NSValue` containing `CGVector` (macOS)
+`NSValue.UIEdgeInsetsValue` (iOS)<br>`NSValue.edgeInsetsValue` (macOS) | `NSValue.uiEdgeInsetsValue` (iOS)<br>`NSValue.edgeInsetsValue` (macOS)
+
+For literal floating-point values, use `-[NSNumber numberWithDouble:]` instead
+of `-[NSNumber numberWithFloat:]` to avoid precision issues.
+
+### Key paths
+
+A key path expression refers to an attribute of the `MGLFeature` object being
+evaluated for display. For example, if a polygon’s `MGLFeature.attributes`
+dictionary contains the `floorCount` key, then the key path `floorCount` refers
+to the value of the `floorCount` attribute when evaluating that particular
+polygon.
+
+The following special attribute is also available on features that are produced
+as a result of clustering multiple point features together in a shape source:
<table>
<thead>
-<tr><th>Attribute</th><th>Meaning</th></tr>
+<tr><th>Attribute</th><th>Type</th><th>Meaning</th></tr>
</thead>
<tbody>
<tr>
- <td><code>$id</code></td>
- <td>
- A value that uniquely identifies the feature in the containing source.
- For details on the types of values that may be associated with this key,
- consult the documentation for the <code>MGLFeature</code> protocol’s
- <code>identifier</code> property.
- </td>
-</tr>
-<tr>
- <td><code>$type</code></td>
- <td>
- The type of geometry represented by the feature. A feature’s type is
- guaranteed to be one of the following strings:
- <ul>
- <li>
- <code>Point</code> for point features, corresponding to the
- <code>MGLPointAnnotation</code> class
- </li>
- <li>
- <code>LineString</code> for polyline features, corresponding to
- the <code>MGLPolyline</code> class
- </li>
- <li>
- <code>Polygon</code> for polygon features, corresponding to the
- <code>MGLPolygon</code> class
- </li>
- </ul>
- </td>
-</tr>
-<tr>
<td><code>point_count</code></td>
+ <td>Number</td>
<td>The number of point features in a given cluster.</td>
</tr>
</tbody>
</table>
-The predicate’s right-hand expression must be an `NSString` (to match strings)
-or `NSNumber` (to match numbers, including Boolean values) or an array of
-`NSString`s or `NSNumber`s, depending on the operator and the type of values
-expected for the attribute being tested. For floating-point values, use
-`-[NSNumber numberWithDouble:]` instead of `-[NSNumber numberWithFloat:]`
-to avoid precision issues.
+Some characters may not be used directly as part of a key path in a format
+string. For example, if a feature’s attribute is named `ISO 3166-1:2006`, an
+expression format string of `lowercase(ISO 3166-1:2006)` or a predicate format
+string of `ISO 3166-1:2006 == 'US-OH'` would raise an exception. Instead, use a
+`%K` placeholder or the `+[NSExpression expressionForKeyPath:]` initializer:
-Automatic type casting is not performed. Therefore, a feature only matches this
-predicate if its value for the attribute in question is of the same type as the
-value specified in the predicate. Also, operator modifiers such as `c` (for
-case insensitivity), `d` (for diacritic insensitivity), and `l` (for locale
-sensitivity) are unsupported for comparison and aggregate operators that are
-used in the predicate.
-
-It is possible to create expressions that contain special characters in the
-predicate format syntax. This includes the `$` in the `$id` and `$type` special
-style attributes and also `hyphen-minus` and `tag:subtag`. However, you must use
-`%K` in the format string to represent these variables:
-`@"%K == 'LineString'", @"$type"`.
+```objc
+[NSPredicate predicateWithFormat:@"%K == 'US-OH'", @"ISO 3166-1:2006"];
+[NSExpression expressionForFunction:@"lowercase:"
+ arguments:@[[NSExpression expressionForKeyPath:@"ISO 3166-1:2006"]]]
+```
-## Using expressions to configure layout and paint attributes
+```swift
+NSPredicate(format: "%K == 'US-OH'", "ISO 3166-1:2006")
+NSExpression(forFunction: "lowercase:",
+ arguments: [NSExpression(forKeyPath: "ISO 3166-1:2006")])
+```
### Functions
-#### Key paths
-
-A key path expression refers to an attribute of the `MGLFeature` object being
-evaluated for display. For example, if a polygon’s `MGLFeature.attributes`
-dictionary contains the `floorCount` key, then the key path `floorCount` refers
-to the value of the `floorCount` attribute when evaluating that particular
-polygon.
-
-#### Predefined functions
-
Of the
-[functions predefined by the `+[NSExpression expressionForFunction:arguments:]` method](https://developer.apple.com/documentation/foundation/nsexpression/1413747-init#discussion),
+[functions predefined](https://developer.apple.com/documentation/foundation/nsexpression/1413747-init#discussion)
+by the
+[`+[NSExpression expressionForFunction:arguments:]` method](https://developer.apple.com/documentation/foundation/nsexpression/1413747-init),
the following subset is supported in layer attribute values:
Initializer parameter | Format string syntax
@@ -163,8 +174,13 @@ Initializer parameter | Format string syntax
`uppercase:` | `uppercase('Elysian Fields')`
`lowercase:` | `lowercase('DOWNTOWN')`
`noindex:` | `noindex(0 + 2 + c)`
+`length:` | `length('Wapakoneta')`
+`castObject:toType:` | `CAST(ele, 'NSString')`<br>`CAST(ele, 'NSNumber')`
-The following predefined functions are not supported:
+A number of [Mapbox-specific functions](#mapbox-specific-functions) are also
+available.
+
+The following predefined functions are **not** supported:
Initializer parameter | Format string syntax
----------------------|---------------------
@@ -182,199 +198,65 @@ Initializer parameter | Format string syntax
`onesComplement:` | `onesComplement(255)`
`distanceToLocation:fromLocation:` | `distanceToLocation:fromLocation:(there, here)`
-#### Mapbox-specific functions
+### Conditionals
-For compatibility with the Mapbox Style Specification, the following functions
-are defined by this SDK for use with style layers. Because these functions are
-not predefined by `NSExpression`, you must use the
-`+[NSExpression expressionForFunction:selectorName:arguments:]` method or the
-`FUNCTION()` format string syntax instead.
+Conditionals are supported via the built-in
+`+[NSExpression expressionForConditional:trueExpression:falseExpression:]`
+method and `TERNARY()` operator. If you need to express multiple cases
+(“else-if”), you can either nest a conditional within a conditional or use the
+[`MGL_IF()`](#code-mgl_if-code) or [`MGL_MATCH()`](#code-mgl_match-code) function.
+
+### Aggregates
+
+Aggregate expressions can contain arrays of expressions. In some cases, it is
+possible to use the array itself instead of wrapping the array in an aggregate
+expression.
+
+### Variables
+
+The following variables are defined by this SDK for use with style layers:
<table>
<thead>
-<tr><th>Selector name</th><th>Target</th><th>Arguments</th><th>Returns</th></tr>
+<tr><th>Variable</th><th>Type</th><th>Meaning</th></tr>
</thead>
<tbody>
<tr>
- <td><code>boolValue</code></td>
+ <td><code>$featureIdentifier</code></td>
<td>
- An `NSExpression` that evaluates to a number or string.
+ Any
+ <a href="working-with-geojson-data.html#about-geojson-deserialization">GeoJSON data type</a>
</td>
- <td></td>
<td>
- A Boolean representation of the target: `FALSE` when then input is an
- empty string, 0, `FALSE`, `NIL`, or NaN, otherwise `TRUE`.
+ A value that uniquely identifies the feature in the containing source.
+ This variable corresponds to the
+ <code>NSExpression.featureIdentifierVariableExpression</code> property.
</td>
</tr>
<tr>
- <td><code>mgl_expressionWithContext:</code></td>
+ <td><code>$geometryType</code></td>
+ <td>String</td>
<td>
- An `NSExpression` that may contain references to the variables defined in
- the context dictionary.
- </td>
- <td>
- An `NSDictionary` with `NSString`s as keys and `NSExpression`s as values.
- Each key is a variable name and each value is the variable’s value within
- the target expression.
- </td>
- <td>
- The target expression with variable subexpressions replaced with the
- values defined in the context dictionary.
- </td>
-</tr>
-<tr>
- <td><code>mgl_interpolateWithCurveType:parameters:stops:</code></td>
- <td>
- An `NSExpression` that evaluates to a number and contains a variable or
- key path expression.
- </td>
- <td>
- The first argument is one of the following strings denoting curve types:
- `linear`, `exponential`, or `cubic-bezier`.
-
- The second argument is an expression providing parameters for the curve:
-
- <ul>
- <li>If the curve type is `linear`, the argument is `NIL`.</li>
- <li>
- If the curve type is `exponential`, the argument is an expression
- that evaluates to a number, specifying the base of the exponential
- interpolation.
- </li>
- <li>
- If the curve type is `cubic-bezier`, the argument is an array or
- aggregate expression containing four expressions, each evaluating to
- a number. The four numbers are control points for the cubic Bézier
- curve.
- </li>
- </ul>
-
- The third argument is an `NSDictionary` object representing the
- interpolation’s stops, with numeric zoom levels as keys and expressions as
- values.
- </td>
- <td>
- A value interpolated along the continuous mathematical function defined by
- the arguments, with the target as the input to the function.
- </td>
-</tr>
-<tr>
- <td>
- <code>mgl_numberWithFallbackValues:</code>,
- <code>doubleValue</code>,
- <code>floatValue</code>,
- <code>decimalValue</code>
- </td>
- <td>
- An `NSExpression` that evaluates to a Boolean value, number, or string.
- </td>
- <td>
- Zero or more `NSExpression`s, each evaluating to a Boolean value or
- string.
- </td>
- <td>
- A numeric representation of the target:
- <ul>
- <li>If the target is `NIL` or `FALSE`, the result is 0.</li>
- <li>If the target is true, the result is 1.</li>
- <li>
- If the target is a string, it is converted to a number as specified
- by the
- “<a href="https://tc39.github.io/ecma262/#sec-tonumber-applied-to-the-string-type">ToNumber Applied to the String Type</a>”
- algorithm of the ECMAScript Language Specification.
- </li>
- <li>
- If multiple values are provided, each one is evaluated in order
- until the first successful conversion is obtained.
- </li>
- </ul>
- </td>
-</tr>
-<tr>
- <td><code>mgl_stepWithMinimum:stops:</code></td>
- <td>
- An `NSExpression` that evaluates to a number and contains a variable or
- key path expression.
- </td>
- <td>
- The first argument is an expression that evaluates to a number, specifying
- the minimum value in case the target is less than any of the stops in the
- second argument.
-
- The second argument is an `NSDictionary` object representing the
- interpolation’s stops, with numeric zoom levels as keys and expressions as
- values.
- </td>
- <td>
- The output value of the stop whose key is just less than the evaluated
- target, or the minimum value if the target is less than the least of the
- stops’ keys.
- </td>
-</tr>
-<tr>
- <td><code>stringByAppendingString:</code></td>
- <td>
- An `NSExpression` that evaluates to a string.
- </td>
- <td>
- One or more `NSExpression`s, each evaluating to a string.
- </td>
- <td>
- The target string with each of the argument strings appended in order.
- </td>
-</tr>
-<tr>
- <td><code>stringValue</code></td>
- <td>
- An `NSExpression` that evaluates to a Boolean value, number, or string.
- </td>
- <td></td>
- <td>
- A string representation of the target:
- <ul>
- <li>If the target is `NIL`, the result is the string `null`.</li>
- <li>
- If the target is a Boolean value, the result is the string `true` or
- `false`.
- </li>
- <li>
- If the target is a number, it is converted to a string as specified
- by the
- “<a href="https://tc39.github.io/ecma262/#sec-tostring-applied-to-the-number-type">NumberToString</a>”
- algorithm of the ECMAScript Language Specification.
- </li>
- <li>
- If the target is a color, it is converted to a string of the form
- `rgba(r,g,b,a)`, where <var>r</var>, <var>g</var>, and <var>b</var>
- are numerals ranging from 0 to 255 and <var>a</var> ranges from 0 to
- 1.
- </li>
- <li>
- Otherwise, the target is converted to a string in the format
- specified by the
- [`JSON.stringify()`](https://tc39.github.io/ecma262/#sec-json.stringify)
- function of the ECMAScript Language Specification.
- </li>
- </ul>
+ The type of geometry represented by the feature. A feature’s type is one
+ of the following strings:
+ <ul>
+ <li>
+ <code>Point</code> for point features, corresponding to the
+ <code>MGLPointAnnotation</code> class
+ </li>
+ <li>
+ <code>LineString</code> for polyline features, corresponding to
+ the <code>MGLPolyline</code> class
+ </li>
+ <li>
+ <code>Polygon</code> for polygon features, corresponding to the
+ <code>MGLPolygon</code> class
+ </li>
+ </ul>
+ This variable corresponds to the
+ <code>NSExpression.geometryTypeVariableExpression</code> property.
</td>
</tr>
-</tbody>
-</table>
-
-Some of these functions are defined as methods on their respective target
-classes, but you should not call them directly outside the context of an
-expression, because the result may differ from the evaluated expression’s result
-or may result in undefined behavior.
-
-### Variables
-
-The following variables are defined by this SDK for use with style layers:
-
-<table>
-<thead>
-<tr><th>Variable</th><th>Type</th><th>Meaning</th></tr>
-</thead>
-<tbody>
<tr>
<td><code>$heatmapDensity</code></td>
<td>Number</td>
@@ -383,7 +265,9 @@ The following variables are defined by this SDK for use with style layers:
<a href="https://en.wikipedia.org/wiki/Kernel_density_estimation">kernel density estimation</a>
of a screen point in a heatmap layer; in other words, a relative measure
of how many data points are crowded around a particular pixel. This
- variable can only be used with the `heatmapColor` property.
+ variable can only be used with the <code>heatmapColor</code> property.
+ This variable corresponds to the
+ <code>NSExpression.heatmapDensityVariableExpression</code> property.
</td>
</tr>
<tr>
@@ -392,7 +276,8 @@ The following variables are defined by this SDK for use with style layers:
<td>
The current zoom level. In style layout and paint properties, this
variable may only appear as the target of a top-level interpolation or
- step expression.
+ step expression. This variable corresponds to the
+ <code>NSExpression.zoomLevelVariableExpression</code> property.
</td>
</tr>
</tbody>
@@ -404,11 +289,601 @@ of a [Mapbox-specific function](#mapbox-specific-functions) that takes an
`NSDictionary` as an argument:
```objc
-[NSExpression expressionWithFormat:@"FUNCTION($floorCount + 1, 'mgl_expressionWithContext:', %@)",
- {@"floorCount": @2}];
+[NSExpression expressionWithFormat:@"MGL_LET('floorCount', 2, $floorCount + 1)"];
```
```swift
-NSExpression(format: "FUNCTION($floorCount + 1, 'mgl_expressionWithContext:', %@)",
- ["floorCount": 2])
+NSExpression(format: "MGL_LET(floorCount, 2, $floorCount + 1)")
```
+
+## Mapbox-specific functions
+
+For compatibility with the Mapbox Style Specification, the following functions
+are defined by this SDK. When setting a style layer property, you can call these
+functions just like the predefined functions above, using either the
+`+[NSExpression expressionForFunction:arguments:]` method or a convenient format
+string syntax:
+
+### `mgl_does:have:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_does:have:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_does:have:(SELF, '🧀🍔')</code> or <code>mgl_does:have:(%@, '🧀🍔')</code></dd>
+</dl>
+
+Returns a Boolean value indicating whether the dictionary has a value for the
+key or whether the evaluated object (`SELF`) has a value for the feature
+attribute. Compared to the [`mgl_has:`](#code-mgl_has-code) custom function,
+that function’s target is instead passed in as the first argument to this
+function. Both functions are equivalent to the syntax `key != NIL` or
+`%@[key] != NIL` but can be used outside of a predicate.
+
+### `mgl_interpolate:withCurveType:parameters:stops:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_interpolate:withCurveType:parameters:stops:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_interpolate:withCurveType:parameters:stops:(x, 'linear', nil, %@)</code></dd>
+</dl>
+
+Produces continuous, smooth results by interpolating between pairs of input and
+output values (“stops”). Compared to the
+[`mgl_interpolateWithCurveType:parameters:stops:`](#code-mgl_interpolatewithcurvetype-parameters-stops-code)
+custom function, the input expression (that function’s target) is instead passed
+in as the first argument to this function.
+
+### `mgl_step:from:stops:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_step:from:stops:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_step:from:stops:(x, 11, %@)</code></dd>
+</dl>
+
+Produces discrete, stepped results by evaluating a piecewise-constant function
+defined by pairs of input and output values ("stops"). Compared to the
+[`mgl_stepWithMinimum:stops:`](#code-mgl_stepwithminimum-stops-code) custom
+function, the input expression (that function’s target) is instead passed in as
+the first argument to this function.
+
+### `mgl_join:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_join:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_join({'Old', 'MacDonald'})</code></dd>
+</dl>
+
+Returns the result of concatenating together all the elements of an array in
+order. Compared to the
+[`stringByAppendingString:`](#code-stringbyappendingstring-code) custom
+function, this function takes only one argument, which is an aggregate
+expression containing the strings to concatenate.
+
+### `mgl_acos:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_acos:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_acos(1)</code></dd>
+</dl>
+
+Returns the arccosine of the number.
+
+This function corresponds to the
+[`acos`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-acos)
+operator in the Mapbox Style Specification.
+
+### `mgl_asin:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_asin:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_asin(0)</code></dd>
+</dl>
+
+Returns the arcsine of the number.
+
+This function corresponds to the
+[`asin`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-asin)
+operator in the Mapbox Style Specification.
+
+### `mgl_atan:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_atan:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_atan(20)</code></dd>
+</dl>
+
+Returns the arctangent of the number.
+
+This function corresponds to the
+[`atan`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-atan)
+operator in the Mapbox Style Specification.
+
+### `mgl_cos:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_cos:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_cos(0)</code></dd>
+</dl>
+
+Returns the cosine of the number.
+
+This function corresponds to the
+[`cos`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-cos)
+operator in the Mapbox Style Specification.
+
+### `mgl_log2:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_log2:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_log2(1024)</code></dd>
+</dl>
+
+Returns the base-2 logarithm of the number.
+
+This function corresponds to the
+[`log2`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-log2)
+operator in the Mapbox Style Specification.
+
+### `mgl_round:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_round:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_round(1.5)</code></dd>
+</dl>
+
+Returns the number rounded to the nearest integer. If the number is halfway
+between two integers, this function rounds it away from zero.
+
+This function corresponds to the
+[`round`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-round)
+operator in the Mapbox Style Specification.
+
+### `mgl_sin:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_sin:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_sin(0)</code></dd>
+</dl>
+
+Returns the sine of the number.
+
+This function corresponds to the
+[`sin`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-sin)
+operator in the Mapbox Style Specification.
+
+### `mgl_tan:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_tan:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_tan(0)</code></dd>
+</dl>
+
+Returns the tangent of the number.
+
+This function corresponds to the
+[`tan`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-tan)
+operator in the Mapbox Style Specification.
+
+### `mgl_coalesce:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_coalesce:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>mgl_coalesce({x, y, z})</code></dd>
+</dl>
+
+Returns the first non-`nil` value from an array of expressions.
+
+This function corresponds to the
+[`coalesce`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-coalesce)
+operator in the Mapbox Style Specification.
+
+### `MGL_LET`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>MGL_LET:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>MGL_LET('age', uppercase('old'), 'name', uppercase('MacDonald'), mgl_join({$age, $name}))</code></dd>
+<dt>Arguments:</dt>
+<dd>
+ Any number of variable names interspersed with their assigned
+ <code>NSExpression</code> values, followed by an <code>NSExpression</code>
+ that may contain references to those variables.
+</dd>
+</dl>
+
+Returns the result of evaluating an expression with the given variable values.
+Compared to the
+[`mgl_expressionWithContext:`](#code-mgl_expressionwithcontext-code) custom
+function, this function takes the variable names and values inline before the
+expression that contains references to those variables.
+
+### `MGL_MATCH`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>MGL_MATCH:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>MGL_MATCH(x, 0, 'zero match', 1, 'one match', 'two match', 'default')</code></dd>
+<dt>Arguments:</dt>
+<dd>
+ An input expression, then any number of argument pairs, followed by a default
+ expression. Each argument pair consists of a constant value followed by an
+ expression to produce as a result of matching that constant value.
+</dd>
+</dl>
+
+Returns the result of matching the input expression against the given constant
+values.
+
+This function corresponds to the
+`+[NSExpression(MGLAdditions) mgl_expressionForMatchingExpression:inDictionary:defaultExpression:]`
+method and the
+[`match`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-match)
+operator in the Mapbox Style Specification.
+
+### `MGL_IF`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>MGL_IF:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>MGL_IF(1 = 2, YES, 2 = 2, YES, NO)</code></dd>
+<dt>Arguments:</dt>
+<dd>
+ Alternating <code>NSPredicate</code> conditionals and resulting expressions,
+ followed by a default expression.
+</dd>
+</dl>
+
+Returns the first expression that meets the condition; otherwise, the default
+value. Unlike
+`+[NSExpression expressionForConditional:trueExpression:falseExpression:]` or
+the `TERNARY()` syntax, this function can accept multiple “if else” conditions
+and is supported on iOS 8._x_ and macOS 10.10._x_; however, each conditional
+passed into this function must be wrapped in a constant expression.
+
+This function corresponds to the
+`+[NSExpression(MGLAdditions) mgl_expressionForConditional:trueExpression:falseExpresssion:]`
+method and the
+[`case`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-case)
+operator in the Mapbox Style Specification.
+
+### `MGL_FUNCTION`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>MGL_FUNCTION:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>MGL_FUNCTION('typeof', mystery)</code></dd>
+<dt>Arguments:</dt>
+<dd>
+ Any arguments required by the expression operator.
+</dd>
+</dl>
+
+An expression exactly as defined by the
+[Mapbox Style Specification](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions).
+
+## Custom functions
+
+The following custom functions are also available with the
+`+[NSExpression expressionForFunction:selectorName:arguments:]` method or the
+`FUNCTION()` format string syntax.
+
+Some of these functions are defined as methods on their respective target
+classes, but you should not call them directly outside the context of an
+expression, because the result may differ from the evaluated expression’s result
+or may result in undefined behavior.
+
+The Mapbox Style Specification defines some operators for which no custom
+function is available. To use these operators in an `NSExpression`, call the
+[`MGL_FUNCTION()`](#code-mgl_function-code) function with the same arguments
+that the operator expects.
+
+### `boolValue`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>boolValue</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>FUNCTION(1, 'boolValue')</code></dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to a number or string.
+</dd>
+<dt>Arguments:</dt>
+<dd>None.</dd>
+</dl>
+
+A Boolean representation of the target: <code>FALSE</code> when then input is an
+empty string, 0, <code>FALSE</code>, <code>NIL</code>, or <code>NaN</code>,
+otherwise <code>TRUE</code>.
+
+### `mgl_has:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_has:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>FUNCTION($featureAttributes, 'mgl_has:', '🧀🍔')</code></dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to an <code>NSDictionary</code>
+ or the evaluated object (<code>SELF</code>).
+</dd>
+<dt>Arguments:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to an <code>NSString</code>
+ representing the key to look up in the dictionary or the feature attribute to
+ look up in the evaluated object (see <code>MGLFeature.attributes</code>).
+</dd>
+</dl>
+
+<code>true</code> if the dictionary has a value for the key or if the evaluated
+object has a value for the feature attribute.
+
+This function corresponds to the
+[`has`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-has)
+operator in the Mapbox Style Specification. See also the
+[`mgl_does:have:`](#code-mgl_does-have-code) function, which is used on its own
+without the `FUNCTION()` operator. You can also check whether an object has an
+attribute by comparing the key path to `NIL`, for example `cheeseburger != NIL`
+or `burger.cheese != NIL`
+
+### `mgl_expressionWithContext:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_expressionWithContext:</code></dd>
+<dt>Format string syntax:</dt>
+<dd>
+ <code>FUNCTION($ios + $macos, 'mgl_expressionWithContext:', %@)</code> with
+ a dictionary containing <code>ios</code> and <code>macos</code> keys
+</dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that may contain references to the variables
+ defined in the context dictionary.
+</dd>
+<dt>Arguments:</dt>
+<dd>
+ An <code>NSDictionary</code> with <code>NSString</code>s as keys and
+ <code>NSExpression</code>s as values. Each key is a variable name and each
+ value is the variable’s value within the target expression.
+</dd>
+</dl>
+
+The target expression with variable subexpressions replaced with the values
+defined in the context dictionary.
+
+This function corresponds to the
+[`let`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-let)
+operator in the Mapbox Style Specification. See also the
+[`MGL_LET`](#code-mgl_let-code) function, which is used on its own without the
+`FUNCTION()` operator.
+
+### `mgl_interpolateWithCurveType:parameters:stops:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_interpolateWithCurveType:parameters:stops:</code></dd>
+<dt>Format string syntax:</dt>
+<dd>
+ <code>FUNCTION($zoomLevel, 'mgl_interpolateWithCurveType:parameters:stops:', 'linear', NIL, %@)</code>
+ with a dictionary containing zoom levels or other constant values as keys
+</dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to a number and contains a
+ variable or key path expression.
+</dd>
+<dt>Arguments:</dt>
+<dd>
+ The first argument is one of the following strings denoting curve types:
+ <code>linear</code>, <code>exponential</code>, or <code>cubic-bezier</code>.
+
+ The second argument is an expression providing parameters for the curve:
+
+ <ul>
+ <li>If the curve type is <code>linear</code>, the argument is <code>NIL</code>.</li>
+ <li>
+ If the curve type is <code>exponential</code>, the argument is an
+ expression that evaluates to a number, specifying the base of the
+ exponential interpolation.
+ </li>
+ <li>
+ If the curve type is <code>cubic-bezier</code>, the argument is an
+ array or aggregate expression containing four expressions, each
+ evaluating to a number. The four numbers are control points for the
+ cubic Bézier curve.
+ </li>
+ </ul>
+
+ The third argument is an <code>NSDictionary</code> object representing the
+ interpolation’s stops, with numeric zoom levels as keys and expressions as
+ values.
+</dd>
+</dl>
+
+A value interpolated along the continuous mathematical function defined by the
+arguments, with the target as the input to the function.
+
+The input expression is matched against the keys in the stop dictionary. The
+keys may be feature attribute values, zoom levels, or heatmap densities. The
+values may be constant values or `NSExpression` objects. For example, you can
+use a stop dictionary with the zoom levels 0, 10, and 20 as keys and the colors
+yellow, orange, and red as the values.
+
+This function corresponds to the
+`+[NSExpression(MGLAdditions) mgl_expressionForInterpolatingExpression:withCurveType:parameters:stops:]`
+method and the
+[`interpolate`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-interpolate)
+operator in the Mapbox Style Specification. See also the
+[`mgl_interpolate:withCurveType:parameters:stops:`](#code-mgl_interpolate-withcurvetype-parameters-stops-code)
+function, which is used on its own without the `FUNCTION()` operator.
+
+### `mgl_numberWithFallbackValues:`
+
+<dl>
+<dt>Selector:</dt>
+<dd>
+ <code>mgl_numberWithFallbackValues:</code>,
+ <code>doubleValue</code>,
+ <code>floatValue</code>, or
+ <code>decimalValue</code>
+</dd>
+<dt>Format string syntax:</dt>
+<dd><code>FUNCTION(ele, 'mgl_numberWithFallbackValues:', 0)</code></dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to a Boolean value, number, or
+ string.
+</dd>
+<dt>Arguments:</dt>
+<dd>
+ Zero or more <code>NSExpression</code>s, each evaluating to a Boolean value
+ or string.
+</dd>
+</dl>
+
+A numeric representation of the target:
+
+* If the target is <code>NIL</code> or <code>FALSE</code>, the result is 0.
+* If the target is true, the result is 1.
+ * If the target is a string, it is converted to a number as specified by the
+ “[ToNumber Applied to the String Type](https://tc39.github.io/ecma262/#sec-tonumber-applied-to-the-string-type)”
+ algorithm of the ECMAScript Language Specification.
+ * If multiple values are provided, each one is evaluated in order until the
+ first successful conversion is obtained.
+
+This function corresponds to the
+[`to-number`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-types-to-number)
+operator in the Mapbox Style Specification. You can also cast a value to a
+number by passing the value and the string `NSNumber` into the `CAST()`
+operator.
+
+### `mgl_stepWithMinimum:stops:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>mgl_stepWithMinimum:stops:</code></dd>
+<dt>Format string syntax:</dt>
+<dd>
+ <code>FUNCTION($zoomLevel, 'mgl_stepWithMinimum:stops:', 0, %@)</code> with
+ a dictionary with zoom levels or other constant values as keys
+</dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to a number and contains a
+ variable or key path expression.
+</dd>
+<dt>Arguments:</dt>
+<dd>
+ The first argument is an expression that evaluates to a number, specifying
+ the minimum value in case the target is less than any of the stops in the
+ second argument.
+
+ The second argument is an <code>NSDictionary</code> object representing the
+ interpolation’s stops, with numeric zoom levels as keys and expressions as
+ values.
+</dd>
+</dl>
+
+The output value of the stop whose key is just less than the evaluated target,
+or the minimum value if the target is less than the least of the stops’ keys.
+
+The input expression is matched against the keys in the stop dictionary. The
+keys may be feature attribute values, zoom levels, or heatmap densities. The
+values may be constant values or `NSExpression` objects. For example, you can
+use a stop dictionary with the zoom levels 0, 10, and 20 as keys and the colors
+yellow, orange, and red as the values.
+
+This function corresponds to the
+`+[NSExpression(MGLAdditions) mgl_expressionForSteppingExpression:fromExpression:stops:]`
+method and the
+[`step`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-step)
+operator in the Mapbox Style Specification.
+
+### `stringByAppendingString:`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>stringByAppendingString:</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>FUNCTION('Old', 'stringByAppendingString:', 'MacDonald')</code></dd>
+<dt>Target:</dt>
+<dd>An <code>NSExpression</code> that evaluates to a string.</dd>
+<dt>Arguments:</dt>
+<dd>One or more <code>NSExpression</code>s, each evaluating to a string.</dd>
+</dl>
+
+The target string with each of the argument strings appended in order.
+
+This function corresponds to the
+`-[NSExpression(MGLAdditions) mgl_expressionByAppendingExpression:]`
+method and is similar to the
+[`concat`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-concat)
+operator in the Mapbox Style Specification. See also the
+[`mgl_join:`](#code-mgl_join-code) function, which concatenates multiple
+expressions and is used on its own without the `FUNCTION()` operator.
+
+### `stringValue`
+
+<dl>
+<dt>Selector:</dt>
+<dd><code>stringValue</code></dd>
+<dt>Format string syntax:</dt>
+<dd><code>FUNCTION(ele, 'stringValue')</code></dd>
+<dt>Target:</dt>
+<dd>
+ An <code>NSExpression</code> that evaluates to a Boolean value, number, or
+ string.
+</dd>
+<dt>Arguments:</dt>
+<dd>None.</dd>
+</dl>
+
+A string representation of the target:
+
+* If the target is <code>NIL</code>, the result is the empty string.
+* If the target is a Boolean value, the result is the string `true` or `false`.
+* If the target is a number, it is converted to a string as specified by the
+ “[NumberToString](https://tc39.github.io/ecma262/#sec-tostring-applied-to-the-number-type)”
+ algorithm of the ECMAScript Language Specification.
+* If the target is a color, it is converted to a string of the form
+ `rgba(r,g,b,a)`, where <var>r</var>, <var>g</var>, and <var>b</var> are
+ numerals ranging from 0 to 255 and <var>a</var> ranges from 0 to 1.
+* Otherwise, the target is converted to a string in the format specified by the
+ [`JSON.stringify()`](https://tc39.github.io/ecma262/#sec-json.stringify)
+ function of the ECMAScript Language Specification.
+
+This function corresponds to the
+[`to-string`](https://www.mapbox.com/mapbox-gl-js/style-spec/#expressions-types-to-string)
+operator in the Mapbox Style Specification. You can also cast a value to a
+string by passing the value and the string `NSString` into the `CAST()`
+operator.