1. Introduction
WebGPU Shading Language (WGSL) is the shader language for [WebGPU]. That is, an application using the WebGPU API uses WGSL to express the programs, known as shaders, that run on the GPU.
1.1. Technical Overview
WebGPU issues a unit of work to the GPU in the form of a GPU command. WGSL is concerned with two kinds of GPU commands:
-
a draw command executes a render pipeline in the context of inputs, outputs, and attached resources.
-
a dispatch command executes a compute pipeline in the context of inputs and attached resources.
Both kinds of pipelines use shaders written in WGSL.
A shader is the portion of a WGSL program that executes a shader stage in a pipeline. A shader comprises:
-
An entry point function.
-
The transitive closure of all called functions, starting with the entry point. This set includes both user-defined and built-in functions. (For a more rigorous definition, see "functions in a shader stage".)
-
The set of variables and constants statically accessed by all those functions.
-
The set of types used to define or analyze all those functions, variables, and constants.
Note: A WGSL program does not require an entry point; however, such a program cannot be executed by the API because an entry point is required to create a WebGPU § GPUProgrammableStage.
When executing a shader stage, the implementation:
-
Computes the values of constants declared at module-scope.
-
Binds resources to variables in the shader’s resource interface, making the contents of those resources available to the shader during execution.
-
Allocates memory for other module-scope variables, and populates that memory with the specified initial values.
-
Populates the formal parameters of the entry point, if they exist, with the shader stage’s inputs.
-
Connects the entry point return value, if one exists, to the shader stage’s outputs.
-
Then it invokes the entry point.
A WGSL program is organized into:
-
Functions, which specify execution behavior.
-
Statements, which are declarations or units of executable behavior.
-
Literals, which are text representations for pure mathematical values.
-
Constants, each providing a name for a value computed at a specific time.
-
Variables, each providing a name for memory holding a value.
-
Expressions, each of which combines a set of values to produce a result value.
-
Types, each of which describes:
-
A set of values.
-
Constraints on supported expressions.
-
The semantics of those expressions.
-
WGSL is an imperative language: behavior is specified as a sequence of statements to execute. Statements can:
-
Declare constants or variables.
-
Modify the contents of variables.
-
Modify execution order using structured programming constructs:
-
Selective execution:
if
(with optionalelse if
andelse
clauses),switch
. -
Repetition:
loop
,while
,for
. -
Escaping a nested execution construct:
continue
,break
,break if
. -
Refactoring: function call and
return
.
-
-
Evaluate expressions to compute values as part of the above behaviors.
WGSL is statically typed: each value computed by a particular expression is in a specific type, determined only by examining the program source.
WGSL has types to describe booleans, numbers, vectors, matrices, and aggregations of these in the form of arrays and structures. Additional types describe memory.
WGSL does not have implicit conversions or promotions from concrete types, but does provide implicit conversions and promotions from abstract types. Converting a value from one concrete numeric or boolean type to another requires an explicit conversion, construction, or reinterpretation of bits; however, WGSL does provide some limited facility to promote scalar types to vector types. This also applies to composite types.
WGSL has texture and sampler types. Together with their associated built-in functions, these support functionality commonly used for graphics rendering, and commonly provided by GPUs.
The work of a shader stage is partitioned into one or more invocations, each of which executes the entry point, but under slightly different conditions. Invocations in a shader stage share access to certain variables:
-
All invocations in the stage share the resources in the shader interface.
-
In a compute shader, invocations in the same workgroup share variables in the workgroup address space. Invocations in different workgroups do not share those variables.
However, the invocations act on different sets of shader stage inputs, including built-in inputs that provide an identifying value to distinguish an invocation from its peers. Each invocation has its own independent memory space in the form of variables in the private and function address spaces.
Invocations within a shader stage execute concurrently, and may often execute in parallel. The shader author is responsible for ensuring the dynamic behavior of the invocations in a shader stage:
-
Meet the uniformity requirements of certain primitive operations, including texture sampling and control barriers.
-
Coordinate potentially conflicting accesses to shared variables, to avoid race conditions.
WGSL sometimes permits several possible behaviors for a given feature. This is a portability hazard, as different implementations may exhibit the different behaviors. The design of WGSL aims to minimize such cases, but is constrained by feasibility, and goals for achieving high performance across a broad range of devices.
Behavioral requirements are actions the implementation will perform when processing or executing a WGSL program. They describe the implementation’s obligations in the contract with the programmer. The specification explicitly states these obligations when they might not be otherwise obvious.
1.2. Syntax Notation
Following syntax notation describes the conventions of the syntactic grammar of WGSL:
-
Italic text on both sides of a rule indicates a syntax rule.
-
Bold monospace text starting and ending with single quotes (') on the right-hand side of a rule indicates keywords and tokens.
-
A colon (:) in regular text registers a syntax rule.
-
A vertical bar (|) in regular text indicates alternatives.
-
An question mark (?) in regular text indicates that previous keyword, token, rule, or group occurs zero or one times (is optional).
-
An asterisk (*) in regular text indicates that previous keyword, token, rule, or group occurs zero or more times.
-
A plus (+) in regular text indicates that previous keyword, token, rule, or group occurs one or more times.
-
A matching pair of opening parenthesis (() and closing parenthesis ()) in regular text indicates a group of elements.
1.3. Mathematical Terms and Notation
Angles:
-
By convention, angles are measured in radians.
-
The reference ray for measuring angles is the ray from the origin (0,0) toward (0,∞).
-
Let θ be the angle subtended by a comparison ray and the reference ray. Then θ increases as the comparison ray moves counterclockwise.
-
There are 2 π radians in a complete circle.
-
Examples:
-
The angle 0 points from the origin to the right, toward (1,0)
-
The angle 2π points from the origin to the right, toward (1,0)
-
The angle π/4 points from the origin to the point (1,1)
-
The angle π/2 points from the origin to the point (0,1)
-
The angle π points from the origin to the point (-1,0)
-
The angle (3/2)π points from the origin to the point (0,-1)
-
The floor expression is defined over real numbers x extended with +∞ and −∞:
-
⌊ + ∞ ⌋ = +∞
-
⌊ − ∞ ⌋ = −∞
-
for real number x, ⌊x⌋ = k, where k is the unique integer such that k ≤ x < k+1
The ceiling expression is defined over real numbers x extended with +∞ and −∞:
-
⌈ +∞ ⌉ = +∞
-
⌈ −∞ ⌉ = −∞
-
for real number x, ⌈x⌉ = k, where k is the unique integer such that k-1 < x ≤ k
The truncate function is defined over real numbers x extended with +∞ and −∞:
-
truncate(+∞) = +∞
-
truncate(−∞) = −∞
-
for real number x, computes the nearest whole number whose absolute value is less than or equal to x:
-
truncate(x) = ⌊x⌋ if x ≥ 0, and ⌈x⌉ if x < 0.
-
The roundUp function is defined for positive integers k and n as:
-
roundUp(k, n) = ⌈n ÷ k⌉ × k
The transpose of an c-column r-row matrix A is the r-column c-row matrix AT formed by copying the rows of A as the columns of AT:
-
transpose(A) = AT
-
transpose(A)i,j = Aj,i
The transpose of a column vector is defined by interpreting the column vector as a 1-row matrix. Similarly, the transpose of a row vector is defined by interpreting the row vector as a 1-column matrix.
2. Shader Lifecycle
There are four key events in the lifecycle of a WGSL program and the shaders it may contain. The first two correspond to the WebGPU API methods used to prepare a WGSL program for execution. The last two are the start and end of execution of a shader.
The events are:
-
Shader module creation
-
This occurs when the WebGPU createShaderModule method is called. The source text for a WGSL program is provided at this time.
-
-
Pipeline creation
-
This occurs when the WebGPU createComputePipeline method or the WebGPU createRenderPipeline method is invoked. These methods use one or more previously created shader modules, together with other configuration information.
-
-
Shader execution start
-
This occurs when a draw or dispatch command is issued to the GPU, begins executing the pipeline, and invokes the shader stage entry point function.
-
-
-
This occurs when all work in the shader completes:
-
all its invocations terminate, and
-
all accesses to resources complete, and
-
outputs, if any, are passed to downstream pipeline stages.
-
-
The events are ordered due to:
-
data dependencies: shader execution requires a pipeline, and a pipeline requires a shader module.
-
causality: the shader must start executing before it can finish executing.
2.1. Processing Errors
A WebGPU implementation may fail to process a shader for two reasons:
-
A program error occurs if the shader does not satisfy the requirements of the WGSL or WebGPU specifications.
-
An uncategorized error may occur even when all WGSL and WebGPU requirements have been satisfied. Possible causes include:
-
The shaders are too complex, exceeding the capabilities of the implementation, but in a way not easily captured by prescribed limits. Simplifying the shaders may work around the issue.
-
A defect in the WebGPU implementation.
-
A processing error may occur during three phases in the shader lifecycle:
-
A shader-creation error is an error feasibly detectable at shader module creation time. Detection relies only on the WGSL program source text and other information available to the
createShaderModule
API method. Statements in this specification that describe something the program must do generally produce a shader-creation error if those assertions are violated. -
A pipeline-creation error is an error detectable at pipeline creation time. Detection relies on the WGSL program source text and other information available to the particular pipeline creation API method.
-
A dynamic error is an error occurring during shader execution. These errors may or may not be detectable.
Note: For example, a race condition may not be detectable.
Each requirement will be checked at the earliest opportunity. That is:
-
A shader-creation error results when failing to meet a requirement detectable at shader-creation time.
-
A pipeline-creation error results when failing to meet a requirement detectable at pipeline-creation time, but not detectable earlier.
When unclear from context, this specification indicates whether failure to meet a particular requirement results in a shader-creation, pipeline-creation, or dynamic error.
The WebGPU specification describes the consequences of each kind of error.
3. Textual Structure
The text/wgsl
media type is used to identify content as a WGSL program.
See Appendix A: The text/wgsl media type.
A WGSL program is Unicode text using the UTF-8 encoding, with no byte order mark (BOM).
WGSL program text consists of a sequence of Unicode code points, grouped into contiguous non-empty sets forming:
The program text must not include a null code point (U+0000
).
3.1. Parsing
To parse a WGSL program:
-
Remove comments:
-
Replace the first comment with a space code point (
U+0020
). -
Repeat until no comments remain.
-
-
Parse the whole text, attempting to match the translation_unit grammar rule. Parsing uses a LALR(1) parser (one token of lookahead) [DeRemer1969], with the following customization:
-
Tokenization is interleaved with parsing, and is context-aware. When the parser requests the next token:
-
Consume and ignore an initial sequence of blankspace code points.
-
A token candidate is any WGSL token formed from the non-empty prefix of the remaining unconsumed code points.
-
The token returned is the longest token candidate that is also a valid lookahead token for the current parser state. [VanWyk2007]
-
-
A shader-creation error results if:
-
the entire source text cannot be converted into a finite sequence of valid tokens, or
-
the translation_unit grammar rule does not match the entire token sequence.
3.2. Blankspace and line breaks
Blankspace is any combination of one or more of code points from the Unicode Pattern_White_Space property. The following is the set of code points in Pattern_White_Space:
-
space (
U+0020
) -
horizontal tab (
U+0009
) -
line feed (
U+000A
) -
vertical tab (
U+000B
) -
form feed (
U+000C
) -
carriage return (
U+000D
) -
next line (
U+0085
) -
left-to-right mark (
U+200E
) -
right-to-left mark (
U+200F
) -
line separator (
U+2028
) -
paragraph separator (
U+2029
)
A line break is a contiguous sequence of blankspace code points indicating the end of a line. It is defined as the blankspace signalling a "mandatory break" as defined by UAX14 Section 6.1 Non-tailorable Line Breaking Rules LB4 and LB5. That is, a line break is any of:
-
line feed (
U+000A
) -
vertical tab (
U+000B
) -
form feed (
U+000C
) -
carriage return (
U+000D
) when not also followed by line feed (U+000A
) -
carriage return (
U+000D
) followed by line feed (U+000A
) -
next line (
U+0085
) -
line separator (
U+2028
) -
paragraph separator (
U+2029
)
Note: Diagnostics that report source text locations in terms of line numbers should use line breaks to count lines.
3.3. Comments
A comment is a span of text that does not influence the validity or meaning of a WGSL program, except that a comment can separate tokens. Shader authors can use comments to document their programs.
A line-ending comment is a kind of comment consisting
of the two code points //
(U+002F
followed by U+002F
) and the code points that follow,
up until but not including:
-
the next line break, or
-
the end of the program.
A block comment is a kind of comment consisting of:
-
The two code points
/*
(U+002F
followed byU+002A
) -
Then any sequence of:
-
A block comment, or
-
Text that does not contain either
*/
(U+002A
followed byU+002F
) or/*
(U+002F
followed byU+002A
)
-
-
Then the two code points
*/
(U+002A
followed byU+002F
)
Note: Block comments can be nested. Since a block comment requires matching start and end text sequences, and allows arbitrary nesting, a block comment cannot be recognized with a regular expression. This is a consequence of the Pumping Lemma for Regular Languages.
const f = 1.5 ; // This is line-ending comment. const g = 2.5 ; /* This is a block comment that spans lines. /* Block comments can nest. */ But all block comments must terminate. */
3.4. Tokens
A token is a contiguous sequence of code points forming one of:
-
a literal.
-
a keyword.
-
an identifier.
3.5. Literals
A literal is one of:
-
A numeric literal: either an integer literal or a floating point literal, and is used to represent a number.
3.5.1. Boolean Literals
3.5.2. Numeric Literals
The form of a numeric literal is defined via pattern-matching.
An integer literal is:
-
An integer specified as any of:
-
0
-
A sequence of decimal digits, where the first digit is not
0
. -
0x
or0X
followed by a sequence of hexadecimal digits.
-
-
Then an optional
i
oru
suffix.
| /0[iu]?/
| /[1-9][0-9]*[iu]?/
| /0[xX][0-9a-fA-F]+[iu]?/
A floating point literal is either a decimal floating point literal or a hexadecimal floating point literal.
A floating point literal has two logical parts: a mantissa to representing a fraction, and an optional exponent. Roughly, the value of the literal is the mantissa multiplied by a base value raised to the given exponent. A mantissa digit is significant if it is non-zero, or if there are mantissa digits to its left and to its right that are both non-zero. Significant digits are counted from left-to-right: the N'th significant digit has N-1 significant digits to its left.
A decimal floating point literal is:
-
A mantissa, specified as a sequence of digits, with an optional decimal point (
.
) somewhere among them. The mantissa represents a fraction in base 10 notation. -
Then an optional exponent suffix consisting of:
-
e
orE
. -
Then an exponent specified as an decimal number with an optional leading sign (
+
or-
). -
Then an optional
f
orh
suffix.
-
-
At least one of the decimal point, or the exponent, or the
f
orh
suffix must be present. If none are, then the token is instead an integer literal.
| /0[fh]/
| /[1-9][0-9]*[fh]/
| /[0-9]*\.[0-9]+([eE][+-]?[0-9]+)?[fh]?/
| /[0-9]+\.[0-9]*([eE][+-]?[0-9]+)?[fh]?/
| /[0-9]+[eE][+-]?[0-9]+[fh]?/
const a = 0. e + 4 f ; const b = 01. ; const c = . 01 ; const d = 12.34 ; const f = . 0 f ; const g = 0 h ; const h = 1e-3 ;
-
Compute effective_mantissa from mantissa:
-
If mantissa has 20 or fewer significant digits, then effective_mantissa is mantissa.
-
Otherwise:
-
Let truncated_mantissa be the same as mantissa except each digit to the right of the 20th significant digit is replaced with 0.
-
Let truncated_mantissa_next be the same as mantissa except:
-
the 20th significant digit is incremented by 1, and carries are propagated to the left as needed needed to ensure each digit remains in the range 0 through 9, and
-
each digit to the right of the 20th significant digit is replaced with 0.
-
-
Set effective_mantissa to either truncated_mantissa or truncated_mantissa_next. This is an implementation choice.
-
-
-
The mathematical value of the literal is the mathematical value of effective_mantissa as a decimal fraction, multiplied by 10 to the power of the exponent. When no exponent is specified, an exponent of 0 is assumed.
Note: The decimal mantissa is truncated after 20 decimal digits, preserving approximately log(10)/log(2)×20 ≈ 66.4 significant bits in the fraction.
A hexadecimal floating point literal is:
-
A
0x
or0X
prefix -
Then a mantissa, specified as a sequence of hexadecimal digits, with an optional hexadecimal point (
.
) somewhere among them. The mantissa represents a fraction in base 16 notation. -
Then an optional exponent suffix consisting of:
-
p
orP
-
Then an exponent specified as an decimal number with an optional leading sign (
+
or-
). -
Then an optional
f
orh
suffix.
-
-
At least one of the hexadecimal point, or the exponent must be present. If neither are, then the token is instead an integer literal.
| /0[xX][0-9a-fA-F]*\.[0-9a-fA-F]+([pP][+-]?[0-9]+[fh]?)?/
| /0[xX][0-9a-fA-F]+\.[0-9a-fA-F]*([pP][+-]?[0-9]+[fh]?)?/
| /0[xX][0-9a-fA-F]+[pP][+-]?[0-9]+[fh]?/
const a = 0xa . fp + 2 ; const b = 0x1 P + 4 f ; const c = 0 X . 3 ; const d = 0x3 p + 2 h ; const e = 0X1 . fp - 4 ; const f = 0x3 . 2 p + 2 h ;
-
Compute effective_mantissa from mantissa:
-
If mantissa has 16 or fewer significant digits, then effective_mantissa is mantissa.
-
Otherwise:
-
Let truncated_mantissa be the same as mantissa except each digit to the right of the 16th significant digit is replaced with 0.
-
Let truncated_mantissa_next be the same as mantissa except:
-
the 16th significant digit is incremented by 1, and carries are propagated to the left as needed needed to ensure each digit remains in the range 0 through
f
, and -
each digit to the right of the 16th significant digit is replaced with 0.
-
-
Set effective_mantissa to either truncated_mantissa or truncated_mantissa_next. This is an implementation choice.
-
-
-
The mathematical value of the literal is the mathematical value of effective_mantissa as a hexadecimal fraction, multiplied by 2 to the power of the exponent. When no exponent is specified, an exponent of 0 is assumed.
Note: The hexadecimal mantissa is truncated after 16 hexadecimal digits, preserving approximately 4 ×16 = 64 significant bits in the fraction.
When a numeric literal has a suffix, the literal denotes a value in a specific concrete scalar type. Otherwise, the literal denotes a value one of the abstract numeric types defined below. In either case, the value denoted by the literal is its mathematical value after conversion to the target type, following the rules in § 13.6.2 Floating Point Conversion.
Numeric Literal | Suffix | Type | Examples |
---|---|---|---|
integer literal | i
| i32 | 42i |
integer literal | u
| u32 | 42u |
integer literal | AbstractInt | 124 | |
floating point literal | f
| f32 | 42f 1e5f 1.2f 0x1.0p10f |
floating point literal | h
| f16 | 42h 1e5h 1.2h 0x1.0p10h |
floating point literal | AbstractFloat | 1e5 1.2 0x1.0p10 |
A shader-creation error results if:
-
An integer literal with a
i
oru
suffix cannot be represented by the target type. -
A hexadecimal floating point literal with a
f
orh
suffix overflows or cannot be exactly represented by the target type. -
A decimal floating point literal with a
f
orh
suffix overflows the target type. -
A floating point literal with a
h
suffix is used while the f16 extension is not enabled.
Note: The hexadecimal float value 0x1.00000001p0 requires 33 mantissa bits to be represented exactly, but f32 only has 23 explicit mantissa bits.
Note: If you want to use an f
suffix to force a hexadecimal float literal to be of type, the literal must also
use a binary exponent. For example, write 0x1p0f
. In comparison, 0x1f
is a hexadecimal integer literal.
3.6. Keywords
A keyword is a token which refers to a predefined language concept. See § 15.1 Keyword Summary for the list of WGSL keywords.
3.7. Identifiers
An identifier is a kind of token used as a name. See § 4 Declaration and Scope.
WGSL uses two grammar nonterminals to separate use cases:
-
An ident is used to name a declared object.
-
A member_ident is used to name a member of a structure type.
The form of an identifier is based on the Unicode Standard Annex #31 for Unicode Version 14.0.0, with the following elaborations.
Identifiers use the following profile described in terms of UAX31 Grammar:
<Identifier> := <Start> <Continue>* (<Medial> <Continue>+)* <Start> := XID_Start + U+005F <Continue> := <Start> + XID_Continue <Medial> :=
This means identifiers with non-ASCII code points like these are
valid: Δέλτα
, réflexion
, Кызыл
, 𐰓𐰏𐰇
, 朝焼け
, سلام
, 검정
, שָׁלוֹם
, गुलाबी
, փիրուզ
.
With the following exceptions:
-
An identifier must not have the same spelling as a keyword or as a reserved word.
-
An identifier must not be
_
(a single underscore,U+005F
). -
An identifier must not start with
__
(two underscores,U+005F
followed byU+005F
).
| /([_\p{XID_Start}][\p{XID_Continue}]+)|([\p{XID_Start}])/uy
Unicode Character Database for Unicode Version 14.0.0 includes non-normative listing with all valid code points of both XID_Start and XID_Continue.
Note: The return type for some built-in functions are structure types whose name cannot be used WGSL source.
Those structure types are described as if they were predeclared with a name starting with two underscores.
The result value can be saved into newly declared let
or var
using type inferencing, or immediately have one of its members
immediately extracted by name. See example usages in the description of frexp
and modf
.
3.7.1. Identifier Comparison
Two WGSL identifiers are the same if and only if they consist of the same sequence of code points.
Note: This specification does not permit Unicode normalization of values for the purposes of comparison. Values that are visually and semantically identical but use different Unicode character sequences will not match. Content authors are advised to use the same encoding sequence consistently or to avoid potentially troublesome characters when choosing values. For more information, see [CHARMOD-NORM].
Note: A user agent should issue developer-visible warnings when the meaning of a WGSL program would change if all instances of an identifier are replaced with one of that identifier’s homographs. (A homoglyph is a sequence of code points that may appear the same to a reader as another sequence of code points. Examples of mappings to detect homoglyphs are the transformations, mappings, and matching algorithms mentioned in the previous paragraph. Two sequences of code points are homographs if the identifier can transform one into the other by repeatedly replacing a subsequence with its homoglyph.)
3.8. Context-Dependent Names
A context-dependent name is a token used to name a concept, but only in specific grammatical contexts. The spelling of the token may be the same as an identifier, but the token does not resolve to a declared object.
Section § 15.4 Context-Dependent Name Tokens lists all such tokens.
3.9. Attributes
An attribute modifies an object. WGSL provides a unified syntax for applying attributes. Attributes are used for a variety of purposes such as specifying the interface with the API.
Generally speaking, from the language’s point-of-view, attributes can be ignored for the purposes of type and semantic checking. Additionally, the attribute name is a context-dependent name, and some attribute parameters are also context-dependent names.
An attribute must not be specified more than once per object or type.
Attribute | Valid Values | Description |
---|---|---|
align
| Must be a const-expression that resolves to an i32 or u32. Must be positive. |
Must only be applied to a member of a structure type.
Must be a power of 2, and must satisfy the required-alignment for the member type: If |
binding
| Must be a const-expression that resolves to an i32 or u32. Must be non-negative. |
Must only be applied to a resource variable.
Specifies the binding number of the resource in a bind group. See § 10.3.2 Resource Interface. |
builtin
| Name of a built-in value |
Must only be applied to an entry point
function parameter, entry point return type, or member of a structure.
Declares a built-in value with the given context-dependent name. See § 16 Built-in Values. |
const
| None |
Must only be applied to function declarations.
Specifies that the function can be used as a const-function. This attribute must not be applied to a user-defined function. Note: This attribute is used as a notational convention to describe which built-in functions can be used in const-expressions. |
group
| Must be a const-expression that resolves to an i32 or u32. Must be non-negative. |
Must only be applied to a resource variable.
Specifies the binding group of the resource. See § 10.3.2 Resource Interface. |
id
| Must be a const-expression that resolves to an i32 or u32. Must be non-negative. |
Must only be applied to an override-declaration of scalar type.
Specifies a numeric identifier as an alternate name for a pipeline-overridable constant. |
interpolate
|
One or two parameters.
The first parameter must be an interpolation type. The second parameter, if present, must specify the interpolation sampling. |
Must only be applied to a declaration that
has a location attribute applied.
Specifies how the user-defined IO must be interpolated. The attribute is only significant on user-defined vertex outputs and fragment inputs. See § 10.3.1.4 Interpolation. Both parameters are context-dependent names. |
invariant
| None |
Must only be applied to the position built-in value.
When applied to the position built-in output value of a vertex
shader, the computation of the result is invariant across different
programs and different invocations of the same entry point.
That is, if the data and control flow match for two Note: This attribute maps to the |
location
| Must be a const-expression that resolves to an i32 or u32. Must be non-negative. |
Must only be applied to an entry point function parameter, entry point
return type, or member of a structure type. Must only be applied to declarations of objects with numeric scalar or numeric vector type. Must not be used with the compute shader stage.
Specifies a part of the user-defined IO of an entry point. See § 10.3.1.3 Input-output Locations. |
size
| Must be a const-expression that resolves to an i32 or u32. Must be positive. |
Must only be applied to a member of a structure type.
The member type must have creation-fixed footprint.
The number of bytes reserved in the struct for this member. This number must be at least the byte-size of the type of the member: If |
workgroup_size
|
One, two or three parameters.
Each parameter must be a const-expression or an override-expression. All parameters must be the same type, either i32 or u32. A pipeline-creation error results if any specified parameter is 0 or exceeds an upper bound specified by the WebGPU API, or if the product of the parameter values exceeds the upper bound specified by the WebGPU API (see WebGPU § limits). |
Must be applied to a compute shader entry point function. Must not be applied to any other object.
Specifies the x, y, and z dimensions of the workgroup grid for the compute shader. The first parameter specifies the x dimension. The second parameter, if provided, specifies the y dimension, otherwise is assumed to be 1. The third parameter, if provided, specifies the z dimension, otherwise is assumed to be 1. |
The shader stage attributes below designate a function as an entry point for a particular shader stage. These attributes must only be applied to function declarations, and at most one may be present on a given function. They take no parameters.
Attribute | Description |
---|---|
vertex | Declares the function to be an entry point for the vertex shader stage of a render pipeline. |
fragment | Declares the function to be an entry point for the fragment shader stage of a render pipeline. |
compute | Declares the function to be an entry point for the compute shader stage of a compute pipeline. |
| '@'
'align'
'('
expression attrib_end
| '@'
'binding'
'('
expression attrib_end
| '@'
'builtin'
'('
builtin_value_name attrib_end
| '@'
'const'
| '@'
'group'
'('
expression attrib_end
| '@'
'id'
'('
expression attrib_end
| '@'
'interpolate'
'('
interpolation_type_name attrib_end
| '@'
'interpolate'
'('
interpolation_type_name ','
interpolation_sample_name attrib_end
| '@'
'invariant'
| '@'
'location'
'('
expression attrib_end
| '@'
'size'
'('
expression attrib_end
| '@'
'workgroup_size'
'('
expression attrib_end
| '@'
'workgroup_size'
'('
expression ','
expression attrib_end
| '@'
'workgroup_size'
'('
expression ','
expression ','
expression attrib_end
| '@'
'vertex'
| '@'
'fragment'
| '@'
'compute'
3.10. Directives
A directive is a token sequence which modifies how a WGSL program is processed by a WebGPU implementation.
Directives are optional. If present, all directives must appear before any declarations or static assertions.
4. Declaration and Scope
A declaration associates an identifier with one of the following kinds of objects:
In other words, a declaration introduces a name for an object.
A declaration is at module scope if the declaration appears outside the text of any other declaration.
A function declaration appears at module-scope. A function declaration contains declarations for formal parameters, if it has any, and it may contain variable and value declarations inside its body. Those contained declarations are therefore not at module-scope.
Note: The only kind of declaration that contain another declaration is a function declaration.
Certain objects are provided by the WebGPU implementation, and are treated as if they have been declared before the start of the WGSL program source. We say such objects are predeclared. For example, WGSL predeclares built-in functions, and built-in types such as i32 and f32.
The scope of a declaration is the set of program source locations where a declared identifier potentially denotes its associated object. We say the identifier is in scope (of the declaration) at those source locations.
Where a declaration appears determines its scope:
-
Predeclared objects, and objects declared at module-scope, are in scope across the entire program source.
-
Otherwise, the scope is a span of text beginning immediately after the end of the declaration. For details, see § 6 Variable and Value Declarations, and the declaration of formal parameters in § 9.1 Declaring a User-defined Function.
Two declarations in the same WGSL source program must not simultaneously:
-
introduce the same identifier name, and
-
have the same end-of-scope.
Note: A predeclared object does not have a declaration in the WGSL source. So a declaration at module-scope or inside a function can have the same name as a built-in function.
TODO(#2941): Once built-in types are not named by keywords or reserved words, then user declarations can also have the same name as a built-in type.
Identifiers are used as follows, distinguished by grammatical context:
-
A token matching the ident grammar element is:
-
Used in a declaration, as the name of the object being declared, or
-
Used as a name, denoting an object declared elsewhere. This is the common case.
-
-
A token matching the member_ident grammar element is:
-
Used in a structure type declaration, as the name of a member, or
-
Used as a name, denoting a member of a structure value, or denoting a reference to a member of a structure. See § 7.7.4 Structure Access Expression.
-
When an ident token appears as a name denoting an object declared elsewhere, it must be in scope for some declaration. The object denoted by the identifier token is determined as follows:
-
If the token is in scope for at least one non-module-scope declaration, then the token denotes the object associated with the nearest of those declarations.
Note: The nearest such declaration appears before the identifier token.
-
Otherwise, if there is a module-scope declaration with that name, then the token denotes that declared object.
Note: The module-scope declaration may appear before or after the identifier token.
-
Otherwise, if there is a predeclared object with that name, then the token denotes that object.
When the above algorithm is used to map an identifier to a declaration, we say the identifier resolves to that declaration. Similarly, we also say the identifier resolves to the declared object.
It is a shader-creation error if any module scope declaration is recursive. That is, no cycles can exist among the declarations:
Consider the directed graph where:
Each node corresponds to a declaration D.
There is an edge from declaration D to declaration T when the definition for D mentions an identifier which resolves to T.
This graph must not have a cycle.
Note: The function body is part of the function declaration, thus functions must not be recursive, either directly or indirectly.
Note: Use of a non-module scope identifier must follow the declaration of that identifier in the text.
// Valid, user-defined variables can have the same name as a built-in function. var < private > modf :f32 = 0.0 ; // Valid, foo_1 is in scope for the entire program. var < private > foo :f32 = 0.0 ; // foo_1 // Valid, bar_1 is in scope for the entire program. var < private > bar :u32 = 0 u ; // bar_1 // Valid, my_func_1 is in scope for the entire program. // Valid, foo_2 is in scope until the end of the function. fn my_func ( foo :f32 ) { // my_func_1, foo_2 // Any reference to 'foo' resolves to the function parameter. // Invalid, modf resolves to the module-scope variable. let res = modf ( foo ); // Invalid, the scope of foo_2 ends at the of the function. var foo :f32 ; // foo_3 // Valid, bar_2 is in scope until the end of the function. var bar :u32 ; // bar_2 // References to 'bar' resolve to bar_2 { // Valid, foo_4 is in scope until the end of the compound statement. var foo :f32 ; // foo_4 // Valid, bar_3 is in scope until the end of the compound statement. var bar :u32 ; // bar_3 // References to 'bar' resolve to bar_3 // Invalid, bar_4 has the same end scope as bar_3. var bar :i32 ; // bar_4 // Valid, i_1 is in scope until the end of the for loop for ( var i :i32 = 0 ; i < 10 ; i ++ ) { // i_1 // Invalid, i_2 has the same end scope as i_1. var i :i32 = 1 ; // i_2. } } // Invalid, bar_5 has the same end scope as bar_2. var bar :u32 ; // bar_5 // Valid, later_def, a module scope declaration, is in scope for the entire program. var early_use :i32 = later_def ; } // Invalid, bar_6 has the same scope as bar_1. var < private > bar :u32 = 1 u ; // bar_6 // Invalid, my_func_2 has the same end scope as my_func_1. fn my_func () { } // my_func_2 // Valid, my_foo_1 is in scope for the entire program. fn my_foo ( //my_foo_1 // Valid, my_foo_2 is in scope until the end of the function. my_foo :i32 // my_foo_2 ) { } var < private > later_def :i32 = 1 ;
5. Types
Programs calculate values.
In WGSL, a type is a set of values, and each value belongs to exactly one type. A value’s type determines the syntax and semantics of operations that can be performed on that value.
For example, the mathematical number 1 corresponds to these distinct values in WGSL:
-
the 32-bit signed integer value
1i
, -
the 32-bit unsigned integer value
1u
, -
the 32-bit floating point value
1.0f
, -
the 16-bit floating point value
1.0h
if the f16 extension is enabled, -
the AbstractInt value 1, and
-
the AbstractFloat value 1.0
WGSL treats these as different because their machine representation and operations differ.
A type is either predeclared, or created in WGSL source via a declaration.
We distinguish between the concept of a type and the syntax in WGSL to denote that type. In many cases the spelling of a type in this specification is the same as its WGSL syntax. For example:
-
the set of 32-bit unsigned integer values is spelled
u32
in this specification, and also in a WGSL program. -
the spelling is different for structure types, or types containing structures.
Some WGSL types are only used for analyzing a source program and for determining the program’s runtime behavior. This specification will describe such types, but they do not appear in WGSL source text.
Note: WGSL reference types are not written in WGSL programs. See § 5.4.1 Reference and Pointer Types.
5.1. Type Checking
A WGSL value is computed by evaluating an expression.
An expression is a segment of source text
parsed as one of the WGSL grammar rules whose name ends with "_expression
".
An expression E can contain subexpressions which are expressions properly contained
in the outer expression E.
A top-level expression is an expression that is not itself a subexpression.
See § 7.18 Expression Grammar Summary.
The particular value produced by an expression evaluation depends on:
-
static context: the source text surrounding the expression, and
-
dynamic context: the state of the invocation evaluating the expression, and the execution context in which the invocation is running.
The values that may result from evaluating a particular expression will always belong to a specific WGSL type, known as the static type of the expression. The rules of WGSL are designed so that the static type of an expression depends only on the expression’s static context.
A type assertion is a mapping from some WGSL source expression to a WGSL type. The notation
e : T
is a type assertion meaning T is the static type of WGSL expression e.
Note: A type assertion is a statement of fact about the text of a program. It is not a runtime check.
Statements often use expressions, and may place requirements on the static types of those expressions. For example:
-
The condition expression of an
if
statement must be of type bool. -
In a
let
declaration with an explicit type specified, the initializer expression must evaluate to that type.
Type checking a successfully parsed WGSL program is the process of mapping each expression to its static type, and verifying that type requirements of each statement are satisfied. If type checking fails, a special case of a shader-creation error, called a type error, results.
Type checking can be performed by recursively applying type rules to syntactic phrases, where a syntactic phrase is either an expression or a statement. A type rule describes how the static context for a syntactic phrase determines the static type for expressions contained within that phrase. A type rule has two parts:
-
A conclusion.
-
If the phrase is an expression, the conclusion is a type assertion for the expression.
-
If the phrase is a statement, the conclusion is a set of type assertions, one for each of the statement’s top-level expressions.
-
In both cases, the syntactic phrases are specified schematically, using italicized names to denote subexpressions or other syntactically-determined parameters.
-
-
Preconditions, consisting of:
-
For expressions:
-
Type assertions for subexpressions, when it has subexpressions. Each may be satisfied directly, or via a feasible automatic conversion (as defined in § 5.1.2 Conversion Rank).
-
How the expression is used in a statement.
-
-
For statements:
-
The syntactic form of the statement, and
-
Type assertions for top-level expressions in the statement.
-
-
Conditions on the other schematic parameters, if any.
-
Optionally, other static context.
-
Type rules may have type parameters in their preconditions and conclusions. When a type rule’s conclusion or preconditions contain type parameters, we say it is parameterized. When they do not, we say the rule is fully elaborated. We can make a fully elaborated type rule from a parameterized one by substituting a type for each of its type parameters, using the same type for all occurrences of a given parameter in the rule. An assignment of types to a rule’s type parameters is called a substitution.
For example, here is the type rule for logical negation (an expression of the form !
e):
Precondition | Conclusion |
---|---|
e: T T is bool or vecN<bool> | ! e: T
|
This is a parameterized rule, because it contains the type parameter T,
which can represent any one of four types bool, vec2<bool>
, vec3<bool>
, or vec4<bool>
.
Applying the substitution that maps T to vec3<bool>
produces the fully elaborated type rule:
Precondition | Conclusion |
---|---|
e: vec3<bool> | ! e: vec3<bool>
|
Each fully elaborated rule we can produce from a parameterized rule by applying some substitution that meets the rule’s other conditions is called an overload of the parameterized rule. For example, the boolean negation rule has four overloads, because there are four possible ways to assign a type to its type parameter T.
Note: In other words, a parameterized type rule provides the pattern for a collection of fully elaborated type rules, each one produced by applying a different substitution to the parameterized rule.
A type rule applies to a syntactic phrase when:
-
The rule’s conclusion matches a valid parse of the syntactic phrase, and
-
The rule’s preconditions are satisfied.
A parameterized type rule applies to an expression if there exists a substitution producing a fully elaborated type rule that applies to the expression.
Consider the expression, 1u+2u
.
It has two literal subexpressions: 1u
and 2u
, both of type u32.
The top-level expression is an addition.
Referring to the rules in § 7.9 Arithmetic Expressions, the type rule for addition applies to the expression, because:
-
1u+2u
matches a parse of the form e1+e2, with e1 standing for1u
and e2 standing for2u
, and -
e1 is of type u32, and
-
e2 is of type u32, and
-
we can substitute u32 for the type parameter T in the type rule, resulting in a fully elaborated rule that applies to the entire expression.
When analyzing a syntactic phrase, three cases may occur:
-
No type rules apply to the expression. This results in a type error.
-
Exactly one fully elaborated type rule applies to the expression. In this case, the rule’s conclusion is asserted, determining the static type for the expression.
-
More than one type rule applies. That is, the preconditions for more than one overload are satisfied. In this case the tie-breaking procedure described in § 5.1.3 Overload Resolution is used.
-
If overload resolution succeeds, a single overload is determined to apply to the expression. The type assertions in the conclusion for that overload are asserted, and therefore determine the types for the expression or expressions in the syntactic phrase.
-
If overload resolution fails, a type error results.
-
Continuing the example above, only one type rule applies to the expression 1u+2u
, and so type checking
accepts the conclusion of that type rule, which is that 1u+2u
is of type u32.
A WGSL source program is well-typed when:
-
The static type can be determined for each expression in the program by applying the type rules, and
-
The type requirements for each statement are satisfied.
Otherwise there is a type error and the source program is not a valid WGSL program.
WGSL is a statically typed language because type checking a WGSL program will either succeed or discover a type error, while only having to inspect the program source text.
5.1.1. Type Rule Tables
The WGSL type rules for expressions are organized into type rule tables, with one row per type rule.
The semantics of an expression is the effect of evaluating that expression, and is primarily the production of a result value. The Description column of the type rule that applies to an expression will specify the expression’s semantics. The semantics usually depends on the values of the type rule parameters, including the assumed values of any subexpressions. Sometimes the semantics of an expression includes effects other than producing a result value, such as the non-result-value effects of its subexpressions.
TODO: example: non-result-value effect is any side effect of a function call subexpression.
5.1.2. Conversion Rank
When a type assertion e:T is used as a type rule precondition, it is satisfied when:
-
e is already of type T, or
-
e is of type S, and type S is automatically convertible to type T, as defined below.
The rule is codified by the ConversionRank function over pairs of types, defined in the table below. The ConversionRank function expresses the preference and feasibility of automatically converting a value of one type (Src) to another type (Dest). Lower ranks are more desirable.
A feasible automatic conversion converts a value from type Src to type Dest, and is allowed when ConversionRank(Src,Dest) is finite. Such conversions are value-preserving, subject to limitations described in § 13.6 Floating Point Evaluation.
Note: Automatic conversions only occur in two kinds of situations. First, when converting a const-expression to its corresponding typed numeric value that can be used on the GPU. Second, when a load from a reference-to-memory occurs, yielding the value stored in that memory.
Note: A conversion of infinite rank is infeasible, i.e. not allowed.
Note: When no conversion is performed, the conversion rank is zero.
Src | Dest | ConversionRank(Src,Dest) | Description |
---|---|---|---|
T | T | 0 | Identity. No conversion performed. |
ref<AS,T,AM> for address space AS, and where access mode AM is read or read_write. | T | 0 | Apply the Load Rule to load a value from a memory reference. |
AbstractFloat | f32 | 1 | See § 13.6.2 Floating Point Conversion |
AbstractFloat | f16 | 2 | See § 13.6.2 Floating Point Conversion |
AbstractInt | i32 | 3 | Identity if the value is in i32. Produces a shader-creation error otherwise. |
AbstractInt | u32 | 4 | Identity if the value is in u32. Produces a shader-creation error otherwise. |
AbstractInt | AbstractFloat | 5 | See § 13.6.2 Floating Point Conversion |
AbstractInt | f32 | 6 | Behaves as AbstractInt to AbstractFloat, and then AbstractFloat to f32 |
AbstractInt | f16 | 7 | Behaves as AbstractInt to AbstractFloat, and then AbstractFloat to f16 |
vecN<S> | vecN<T> | ConversionRank(S,T) | Inherit conversion rank from component type. |
matCxR<S> | matCxR<T> | ConversionRank(S,T) | Inherit conversion rank from component type. |
array<S,N> | array<T,N> | ConversionRank(S,T) | Inherit conversion rank from component type. Note: Only fixed-size arrays may have an abstract component type. |
__frexp_result_abstract | __frexp_result_f32 | 1 | |
__frexp_result_abstract | __frexp_result_f16 | 2 | |
__frexp_result_vecN_abstract | __frexp_result_vecN_f32 | 1 | |
__frexp_result_vecN_abstract | __frexp_result_vecN_f16 | 2 | |
__modf_result_abstract | __modf_result_f32 | 1 | |
__modf_result_abstract | __modf_result_f16 | 2 | |
__modf_result_vecN_abstract | __modf_result_vecN_f32 | 1 | |
__modf_result_vecN_abstract | __modf_result_vecN_f16 | 2 | |
S | T where above cases don’t apply | infinity | There are no automatic conversions between other types. |
The type T
is the concretization of type S
if:
-
T
is not a reference type, and -
ConversionRank(
S
,T
) is finite, and -
For any other non-reference type
T2
, ConversionRank(S
,T2
) > ConversionRank(S
,T
).
The concretization of a value e
of type T
is the value
resulting from applying, to e
, the feasible conversion that maps T
to the concretization of T
.
5.1.3. Overload Resolution
When more than one type rule applies to a syntactic phrase, a tie-breaking procedure is used to determine which one should take effect. This procedure is called overload resolution, and assumes type checking has already succeeded in finding static types for subexpressions.
Consider a syntactic phrase P, and all type rules that apply to P. The overload resolution algorithm calls these type rules overload candidates. For each candidate:
-
Its preconditions have been met either directly or through automatic conversion.
-
Its conclusion has:
-
A syntactic form matching a valid parse of P, and
-
A type assertion corresponding to each top-level expression in P.
-
Overload resolution for P proceeds as follows, with the goal of finding a single most preferable overload candidate:
-
For each candidate C, enumerate conversion ranks for subexpressions in the syntactic phrase. The candidate’s preconditions have been met, and so for the i’th subexpression in the P:
-
Its static type has been computed.
-
There is a feasible automatic conversion from the expression’s static type to the type required by the corresponding type assertion in the preconditions. Let C.R(i) be the ConversionRank of that conversion.
-
-
Eliminate any candidate where one of its subexpressions resolves to an abstract type after feasible automatic conversions, but another of the candidate’s subexpressions is not a const-expression.
-
That is, overload resolution will concretize the type of an expression unless all its subexpressions are const-expressions.
-
-
Rank candidates: Given two overload candidates C1 and C2, C1 is preferred over C2 if:
-
For each expression position i in P, C1.R(i) ≤ C2.R(i).
-
That is, each expression conversion required to apply C1 to P is at least as preferable as the corresponding expression conversion required to apply C2 to P.
-
-
There is at least one expression position i where C1.R(i) < C2.R(i).
-
That is, there is at least one expression conversion required to apply C1 that is strictly more preferable than the corresponding conversion required to apply C2.
-
-
-
If there is a single candidate C which is preferred over all the others, then overload resolution succeeds, yielding the candidate type rule C. Otherwise, overload resolution fails.
TODO: Examples
5.2. Plain Types
Plain types are types for the machine representation of boolean values, numbers, vectors, matrices, or aggregations of such values.
A plain type is either a scalar type, an atomic type, or a composite type.
Note: Plain types in WGSL are similar to Plain-Old-Data types in C++, but also include atomic types and abstract numeric types.
5.2.1. Abstract Numeric Types
These types cannot be spelled in WGSL source. They are only used by type checking.
Certain expressions are evaluated at shader-creation time, and with a numeric range and precision that may be larger than directly implemented by the GPU.
WGSL defines two abstract numeric types for these evaluations:
-
The AbstractInt type is the set of integers i, with -263 ≤ i < 263.
-
The AbstractFloat type is the set of finite floating point numbers representable in the IEEE-754 binary64 (double precision) format.
An evaluation of an expression in one of these types must not overflow or produce infinite, NaN, undefined, or indeterminate results.
A type is abstract if it is an abstract numeric type or contains an abstract numeric type. A type is concrete if it is not abstract.
A numeric literal without a suffix denotes a value in an abstract numeric type:
-
An integer literal without an
i
oru
suffix denotes an AbstractInt value. -
A floating point literal without an
f
suffix denotes a AbstractFloat value.
Example: The expression log2(32)
is analyzed as follows:
-
log2(32)
is parsed as a function call to thelog2
builtin function with operand AbstractInt value 32. -
There is no overload of
log2
with an integer scalar formal parameter. -
Instead overload resolution applies, considering two possible overloads and feasible automatic conversions:
-
AbstractInt to AbstractFloat. (Conversion rank 4)
-
AbstractInt to f32. (Conversion rank 5)
-
-
The resulting computation occurs as an AbstractFloat (e.g.
log2(32.0)
).
Example: The expression 1 + 2.5
is analyzed as follows:
-
1 + 2.5
is parsed as an addition operation with subexpressions AbstractInt value 1, and AbstractFloat value 2.5. -
There is no overload for e+f where e is integer type and f is floating point.
-
However, using feasible automatic conversions, there are two potential overloads:
-
1
is converted to AbstractFloat value1.0
(rank 4) and2.5
remains an AbstractFloat (rank 0). -
1
is converted to f32 value1.0f
(rank 5) and2.5
is converted to f32 value2.5f
(rank 1).
-
-
The first overload is the preferable candidate and type checking succeeds.
-
The resulting computation occurs as an AbstractFloat
1.0 + 2.5
.
Example: let x = 1 + 2.5;
-
This example is similar to the above, except that
x
cannot resolve to an abstract numeric type. -
Therefore, there is only one viable overload candidate: addition using f32.
-
The effect of the declaration is as if it were written
let x : f32 = 1.0f + 2.5f;
.
Example: 1u + 2.5
results in a shader-creation error:
-
The
1u
term is an expression of type u32. -
The
2.5
term is an expression of type AbstractFloat. -
There are no valid overload candidates:
-
There is no feasible automatic conversion from a GPU-materialized integer scalar type to a floating point type.
-
No type rule matches e
+
f with e in an integer scalar type, and f in a floating point type.
-
// Explicitly-typed unsigned integer literal. var u32_1 = 1 u ; // variable holds a u32 // Explicitly-typed signed integer literal. var i32_1 = 1 i ; // variable holds a i32 // Explicitly-typed floating point literal. var f32_1 = 1 f ; // variable holds a f32 // Explicitly-typed unsigned integer literal cannot be negated. var u32_neg = - 1 u ; // invalid: unary minus does not support u32 // When a concrete type is required, but no part of the statement or // expression forces a particular concrete type, an integer literal is // interpreted as an i32 value: // Initializer for a let-declaration must be constructible (or pointer). // The most preferred automatic conversion from AbstractInt to a constructible type // is AbstractInt to i32, with conversion rank 2. So '1' is inferred as i32. let some_i32 = 1 ; // like let some_i32: i32 = 1i; // Inferred from declaration type. var i32_from_type :i32 = 1 ; // variable holds i32. AbstractInt to i32, conversion rank 2 var u32_from_type :u32 = 1 ; // variable holds u32. AbstractInt to u32, conversion rank 3 // Unsuffixed integer literal can convert to floating point when needed: // Automatically convert AbstractInt to f32, with conversion rank 5. var f32_promotion :f32 = 1 ; // variable holds f32 // Invalid: no feasible conversion from floating point to integer var i32_demotion :i32 = 1.0 ; // Invalid // Inferred from expression. var u32_from_expr = 1 + u32_1 ; // variable holds u32 var i32_from_expr = 1 + i32_1 ; // variable holds i32 // Values must be representable. let u32_too_large :u32 = 1234567890123456890 ; // invalid, overflow let i32_too_large :i32 = 1234567890123456890 ; // invalid, overflow let u32_large :u32 = 2147483649 ; // valid let i32_large :i32 = 2147483649 ; // invalid, overflow let f32_out_of_range1 = 0x1 p500 ; // invalid, out of range let f32_hex_lost_bits = 0x1 . 0000000001 p0 ; // invalid, not exactly representable in f32 // Minimum integer: unary negation over AbstractInt, then infer i32. // Most preferred conversion from AbstractInt to a constructible type (with lowest // conversion rank) is AbstractInt to i32. let i32_min = - 2147483648 ; // has type i32 // Invalid. Select AbstractInt to i32 as above, but the value is out of // range, producing shader-creation error. let i32_too_large_2 = 2147483648 ; // Invalid. // Subexpressions can resolve to AbstractInt and AbstractFloat. // The following examples are all valid and the value of the variable is 6u. // var u32_expr1 = (1 + (1 + (1 + (1 + 1)))) + 1u; // var u32_expr2 = 1u + (1 + (1 + (1 + (1 + 1)))); // var u32_expr3 = (1 + (1 + (1 + (1u + 1)))) + 1; // var u32_expr4 = 1 + (1 + (1 + (1 + (1u + 1)))); // Inference based on built-in function parameters. // Most-preferred candidate is clamp(i32,i32,i32)->i32 let i32_clamp = clamp ( 1 , - 5 , 5 ); // Most preferred candidate is clamp(u32,u32,u32). // Literals use automatic conversion AbstractInt to u32. let u32_clamp = clamp ( 5 , 0 , u32_from_expr ); // Most preferred candidate is clamp(f32,f32,f32)->f32 // literals use automatic conversion AbstractInt to f32. let f32_clamp = clamp ( 0 , f32_1 , 1 ); // TODO: When AbstractFloat gains support for addition, then these will become valid, // via promotion. // let f32_promotion1 = 1.0 + 2 + 3 + 4; // TODO: like let f32_promotion1:f32 = 10f; // let f32_promotion2 = 2 + 1.0 + 3 + 4; // TODO: like let f32_promotion1:f32 = 10f; // let f32_promotion3 = 1f + ((2 + 3) + 4); // TODO: like let f32_promotion1:f32 = 10f; // let f32_promotion4 = ((2 + (3 + 1f)) + 4); // TODO: like let f32_promotion1:f32 = 10f; // Type rule violations. // Invalid, the initializer can only resolve to f32: // No feasible automatic conversion from AbstractFloat to u32. let mismatch :u32 = 1.0 ; // Invalid. There is no overload of clamp that allows mixed sign parameters. let ambiguous_clamp = clamp ( 1 u , 0 , 1 i ); // Inference completes at the statement level. // Initializer for a let-declaration must be constructible (or pointer). // The most preferred automatic conversion from AbstractInt to a constructible type // is AbstractInt to i32, with conversion rank 2. So '1' is inferred as i32. let some_i32 = 1 ; // like let some_i32: i32 = 1i; let some_f32 :f32 = some_i32 ; // Type error: i32 cannot be assigned to f32 // Another overflow case let overflow_u32 = ( 1 - 2 ) + 1 u ; // invalid, -1 is out of range of u32 // Ideal value out of range of 32-bits, but brought back into range let out_and_in_again = ( 0x1ffffffff / 8 ); // Similar, but invalid let out_of_range = ( 0x1ffffffff / 8 u ); // requires computation is done in 32-bits, // making 0x1ffffffff out of range.
5.2.2. Boolean Type
The bool type contains the values true
and false
.
Precondition | Conclusion | Description |
---|---|---|
true : bool
| The true value. | |
false : bool
| The false value. |
5.2.3. Integer Types
The u32 type is the set of 32-bit unsigned integers.
The i32 type is the set of 32-bit signed integers. It uses a two’s complementation representation, with the sign bit in the most significant bit position.
Type | Lowest value | Highest value |
---|---|---|
i32 | i32(-2147483648) | 2147483647i |
i32(-0x80000000) | 0x7fffffffi | |
u32 | 0u | 4294967295u |
0x0u | 0xffffffffu |
5.2.4. Floating Point Type
The f32 type is the set of 32-bit floating point values of the IEEE-754 binary32 (single precision) format. See § 13.6 Floating Point Evaluation for details.
The f16 type is the set of 16-bit floating point values of the IEEE-754 binary16 (half precision) format. It is a shader-creation error if the f16 type is used unless the program contains the enable f16;
directive to enable
the f16 extension. See § 13.6 Floating Point Evaluation for details.
The following table lists certain extreme values for floating point types. Each has a corresponding negative value.
Type | Smallest positive denormal | Smallest positive normal | Largest positive finite |
---|---|---|---|
f32 | 1.40129846432481707092e-45f | 1.17549435082228750797e-38f | 3.40282346638528859812e+38f |
0x1p-149f | 0x1p-126f | 0x1.fffffep+127f | |
f16 | 5.9604644775390625e-8h | 0.00006103515625h | 65504.0h |
0x1p-24h | 0x1p-14h | 0x1.ffcp+15h |
5.2.5. Scalar Types
The scalar types are bool, AbstractInt, AbstractFloat, i32, u32, f32, and f16.
The numeric scalar types are AbstractInt, AbstractFloat, i32, u32, f32, and f16.
The integer scalar types are AbstractInt, i32, and u32.
5.2.6. Vector Types
A vector is a grouped sequence of 2, 3, or 4 scalar components.
Type | Description |
---|---|
vecN<T> | Vector of N components of type T. N must be in {2, 3, 4} and T must be one of the scalar types. We say T is the component type of the vector. |
A vector is a numeric vector if its component type is a numeric scalar.
Key use cases of a vector include:
-
to express both a direction and a magnitude.
-
to express a position in space.
-
to express a color in some color space. For example, the components could be intensities of red, green, and blue, while the fourth component could be an alpha (opacity) value.
Many operations on vectors act component-wise, i.e. the result vector is formed by operating on each component independently.
let x :vec3 < f32 > = a + b ; // a and b are vec3<f32> // x[0] = a[0] + b[0] // x[1] = a[1] + b[1] // x[2] = a[2] + b[2]
WGSL also predeclares the following type aliases:
Predeclared alias | Original type | Restrictions |
---|---|---|
vec2i | vec2<i32> | |
vec3i | vec3<i32> | |
vec4i | vec4<i32> | |
vec2u | vec2<u32> | |
vec3u | vec3<u32> | |
vec4u | vec4<u32> | |
vec2f | vec2<f32> | |
vec3f | vec3<f32> | |
vec4f | vec4<f32> | |
vec2h | vec2<f16> | Requires the f16 extension. |
vec3h | vec3<f16> | |
vec4h | vec4<f16> |
5.2.7. Matrix Types
A matrix is a grouped sequence of 2, 3, or 4 floating point vectors.
Type | Description |
---|---|
matCxR<T> | Matrix of C columns and R rows of type T, where C and R are both in {2, 3, 4}, and T must be f32, f16, or AbstractFloat. Equivalently, it can be viewed as C column vectors of type vecR<T>. |
The key use case for a matrix is to embody a linear transformation. In this interpretation, the vectors of a matrix are treated as column vectors.
The product operator (*
) is used to either:
-
scale the transformation by a scalar magnitude.
-
apply the transformation to a vector.
-
combine the transformation with another matrix.
See § 7.9 Arithmetic Expressions.
mat2x3 < f32 > // This is a 2 column, 3 row matrix of 32-bit floats. // Equivalently, it is 2 column vectors of type vec3<f32>.
WGSL also predeclares the following type aliases:
Predeclared alias | Original type | Restrictions |
---|---|---|
mat2x2f | mat2x2<f32> | |
mat2x3f | mat2x3<f32> | |
mat2x4f | mat2x4<f32> | |
mat3x2f | mat3x2<f32> | |
mat3x3f | mat3x3<f32> | |
mat3x4f | mat3x4<f32> | |
mat4x2f | mat4x2<f32> | |
mat4x3f | mat4x3<f32> | |
mat4x4f | mat4x4<f32> | |
mat2x2h | mat2x2<f16> | Requires the f16 extension. |
mat2x3h | mat2x3<f16> | |
mat2x4h | mat2x4<f16> | |
mat3x2h | mat3x2<f16> | |
mat3x3h | mat3x3<f16> | |
mat3x4h | mat3x4<f16> | |
mat4x2h | mat4x2<f16> | |
mat4x3h | mat4x3<f16> | |
mat4x4h | mat4x4<f16> |
5.2.8. Atomic Types
An atomic type encapsulates a concrete integer scalar type such that:
-
atomic objects provide certain guarantees to concurrent observers, and
-
the only valid operations on atomic objects are the atomic builtin functions.
Type | Description |
---|---|
atomic<T> | Atomic of type T. T must be either u32 or i32. |
An expression must not evaluate to an atomic type.
Atomic types may only be instantiated by variables in the workgroup address space or by storage buffer variables with a read_write access mode.
The memory scope of operations on the type is determined by the address space it is instantiated in.
Atomic types in the workgroup address space have a memory scope of Workgroup
, while those in the storage address space have a memory scope of QueueFamily
.
An atomic modification is any operation on an atomic object which sets the content of the object. The operation counts as a modification even if the new value is the same as the object’s existing value.
In WGSL, atomic modifications are mutually ordered, for each object. That is, during execution of a shader stage, for each atomic object A, all agents observe the same order of modification operations applied to A. The ordering for distinct atomic objects may not be related in any way; no causality is implied. Note that variables in workgroup space are shared within a workgroup, but are not shared between different workgroups.
5.2.9. Array Types
An array is an indexable grouping of element values.
Type | Description |
---|---|
array<E,N> | A fixed-size array with N elements of type E. N is called the element count of the array. |
array<E> | A runtime-sized array of elements of type E.
These may only appear in specific contexts. |
The first element in an array is at index 0, and each successive element is at the next integer index. See § 7.7.3 Array Access Expression.
An expression must not evaluate to a runtime-sized array type.
The element count expression N of a fixed-size array is subject to the following constraints:
-
It must be an override-expression.
-
It must evaluate to a concrete integer scalar.
-
It is a pipeline-creation error if expression is not greater than zero.
Note: The element count value is fully determined at pipeline creation time.
An array element type must be one of:
-
a scalar type
-
a vector type
-
a matrix type
-
an atomic type
-
an array type having a creation-fixed footprint
-
a structure type having a creation-fixed footprint.
Note: The element type must be a plain type.
Two array types are the same if and only if all of the following are true:
-
They have the same element type.
-
Their element count specifications match, i.e. one of the following is true:
-
They are both runtime-sized.
-
They are both fixed-sized with creation-fixed footprint, and equal-valued element counts, even if one is signed and the other is unsigned. (Signed and unsigned values are comparable in this case because element counts are always positive.)
-
They are both fixed-sized with element counts specified as identifiers resolving to the same declaration of a pipeline-overridable constant.
-
// array<f32,8> and array<i32,8> are different types: // different element types var < private > a :array < f32 , 8 > ; var < private > b :array < i32 , 8 > ; var < private > c :array < i32 , 8 u > ; // array<i32,8> and array<i32,8u> are the same type const width = 8 ; const height = 8 ; // array<i32,8>, array<i32,8u>, and array<i32,width> are the same type. // Their element counts evaluate to 8. var < private > d :array < i32 , width > ; // array<i32,height> and array<i32,width> are the same type. var < private > e :array < i32 , width > ; var < private > f :array < i32 , height > ;
Note: The only valid use of an array type sized by an overridable constant is as a memory view in the workgroup address space. This includes the store type of a workgroup variable.
override blockSize = 16 ; var < workgroup > odds :array < i32 , blockSize > ; var < workgroup > evens :array < i32 , blockSize > ; // Same type // None of the following have the same type as 'odds' and 'evens'. // Different type: Not the identifier 'blockSize' var < workgroup > evens_0 :array < i32 , 16 > ; // Different type: Uses arithmetic to express the element count. var < workgroup > evens_1 :array < i32 ,( blockSize * 2 / 2 ) > ; // Different type: Uses parentheses, not just an identifier. var < workgroup > evens_2 :array < i32 ,( blockSize ) > ; // An invalid example, because the overridable element count may only occur // at the outer level. // var<workgroup> both: array<array<i32,blockSize>,2>; // An invalid example, because the overridable element count is only // valid for workgroup variables. // var<private> bad_address_space: array<i32,blockSize>;
| 'array'
'<'
type_specifier ( ','
element_count_expression ) ? '>'
5.2.10. Structure Types
A structure is a named grouping of named member values.
Type | Description |
---|---|
struct AStructName {M1 : T1, ... MN : TN, } |
A declaration of a structure type named by identifier AStructName and having N members,
where member i is named by identifier Mi and is of type Ti.
N must be at least 1. Two members of the same structure type must not have the same name. |
Structure types are declared at module scope. Elsewhere in the program source, a structure type is denoted by its identifier name. See § 4 Declaration and Scope.
Two structure types are the same if and only if they have the same name.
A structure member type must be one of:
-
a scalar type
-
a vector type
-
a matrix type
-
an atomic type
-
a fixed-size array type with creation-fixed footprint
-
a runtime-sized array type, but only if it is the last member of the structure
-
a structure type that has a creation-fixed footprint
Note: All user-declared structure types are concrete.
Note: Each member type must be a plain type.
Some consequences of the restrictions structure member and array element types are:
-
A pointer, texture, or sampler must not appear in any level of nesting within an array or structure.
-
When a runtime-sized array is part of a larger type, it may only appear as the last element of a structure, which itself cannot be part of an enclosing array or structure.
// A structure with three members. struct Data { a :i32 , b :vec2 < f32 > , c :array < i32 , 10 > , // last comma is optional } // Declare a variable storing a value of type Data. var < private > some_data :Data ;
| '{'
struct_member ( ','
struct_member ) * ','
? '}'
The following attributes can be applied to structure members:
Attributes builtin, location, interpolate, and invariant are IO attributes. An IO attribute on a member of a structure S has effect only when S is used as the type of a formal parameter or return type of an entry point. See § 10.3.1 Inter-stage Input and Output Interface.
Attributes align and size are layout attributes, and may be required if the structure type is used to define a uniform buffer or a storage buffer. See § 5.3.6 Memory Layout.
// Runtime Array type RTArr = array < vec4 < f32 >> ; struct S { a :f32 , b :f32 , data :RTArr } @ group ( 0 ) @ binding ( 0 ) var < storage > buffer :S ;
5.2.11. Composite Types
A type is composite if it has internal structure expressed as a composition of other types. The internal parts do not overlap, and are called components. A composite value may be decomposed into its components. See § 7.7 Composite Value Decomposition Expressions.
The composite types are:
For a composite type T, the nesting depth of T, written NestDepth(T) is:
-
1 for a vector type
-
2 for a matrix type
-
1 + NestDepth(E) for an array type with element type E
-
1 + max(NestDepth(M1),..., NestDepth(MN)) if T is a structure type with member types M1,...,M1
5.2.12. Constructible Types
Many kinds of values can be created, loaded, stored, passed into functions, and returned from functions. We call these constructible.
A type is constructible if it is one of:
-
a scalar type
-
a vector type
-
a matrix type
-
a fixed-size array type, if it has creation-fixed footprint and its element type is constructible.
-
a structure type, if all its members are constructible.
Note: All constructible types have a creation-fixed footprint.
Note: Atomic types and runtime-sized array types are not constructible. Composite types containing atomics and runtime-sized arrays are not constructible.
5.2.13. Fixed-Footprint Types
The memory footprint of a variable is the number of memory locations used to store the contents of the variable. The memory footprint of a variable depends on its store type and becomes finalized at some point in the shader lifecycle. Most variables are sized very early, at shader creation time. Some variables may be sized later, at pipeline creation time, and others as late as the start of shader execution.
A type has a creation-fixed footprint if its concretization has a size that is fully determined at shader creation time.
A type has a fixed footprint if its size is fully determined at pipeline creation time.
Note: Pipeline creation depends on shader creation, so a type with creation-fixed footprint also has fixed footprint.
The types with creation-fixed footprint are:
-
a scalar type
-
a vector type
-
a matrix type
-
an atomic type
-
a fixed-size array type, when:
-
its element count is a const-expression.
-
-
a structure type, if all its members have creation-fixed footprint.
Note: A constructible type has a creation-fixed footprint.
The plain types with fixed footprint are any of:
-
a type with creation-fixed footprint
-
a fixed-size array type (without further constraining its element count)
Note: The only valid use of a fixed-size array with an element count that is an override-expression that is not a const-expression is as a memory view in the workgroup address space. This includes the store type of a workgroup variable.
Note: A fixed-footprint type may contain an atomic type, either directly or indirectly, while a constructible type cannot.
Note: Fixed-footprint types exclude runtime-sized arrays, and any structure that contains a runtime-sized array.
5.3. Memory
In WGSL, a value of storable type may be stored in memory, for later retrieval. This section describes the structure of memory, and how WGSL types are used to describe the contents of memory.
5.3.1. Memory Locations
Memory consists of a set of distinct memory locations. Each memory location is 8-bits in size. An operation affecting memory interacts with a set of one or more memory locations. Memory operations on structures and arrays will not access padding memory locations.
Two sets of memory locations overlap if the intersection of their sets of memory locations is non-empty.
5.3.2. Memory Access Mode
A memory access is an operation that acts on memory locations.
-
A read access observes the contents of memory locations.
-
A write access sets the contents of memory locations.
A single operation can read, write, or both read and write.
Particular memory locations may support only certain kinds of accesses, expressed as the memory’s access mode:
- read
-
Supports read accesses, but not writes.
- write
-
Supports write accesses, but not reads.
- read_write
-
Supports both read and write accesses.
When a token matches the access_mode grammar nonterminal, it is considered a context-dependent name. In particular, the token does not resolve to any declared object.
5.3.3. Storable Types
The value contained in a variable must be of a storable type. A storable type may have an explicit representation defined by WGSL, as described in § 5.3.6.4 Internal Layout of Values, or it may be opaque, such as for textures and samplers.
A type is storable if it is both concrete and one of:
-
a scalar type
-
a vector type
-
a matrix type
-
an atomic type
-
an array type
-
a structure type
-
a texture type
-
a sampler type
Note: That is, the storable types are the concrete plain types, texture types, and sampler types.
5.3.4. Host-shareable Types
Host-shareable types are used to describe the contents of buffers which are shared between the host and the GPU, or copied between host and GPU without format translation. When used for this purpose, the type may additionally have layout attributes applied as described in § 5.3.6 Memory Layout. We will see in § 6.3 var Declarations that the store type of uniform buffer and storage buffer variables must be host-shareable.
A type is host-shareable if it is both concrete and one of:
-
a numeric scalar type
-
a numeric vector type
-
a matrix type
-
an atomic type
-
a fixed-size array type, if it has creation-fixed footprint and its element type is host-shareable
-
a runtime-sized array type, if its element type is host-shareable
-
a structure type, if all its members are host-shareable
Note: Many types are host-shareable, but not IO-shareable, including atomic types, runtime-sized arrays, and any composite types containing them.
Note: Both IO-shareable and host-shareable types have specified sizes, but counted differently. IO-shareable types are sized by a location-count metric, see § 10.3.1.3 Input-output Locations. Host-shareable types are sized by a byte-count metric, see § 5.3.6 Memory Layout.
5.3.5. Address Spaces
Memory locations are partitioned into address spaces. Each address space has unique properties determining mutability, visibility, the values it may contain, and how to use variables with it. See § 6 Variable and Value Declarations for more details.
Address space | Sharing among invocations | Notes |
---|---|---|
function | Same invocation only | |
private | Same invocation only | |
workgroup | Invocations in the same compute shader workgroup | The element count of an outermost array may be a pipeline-overridable constant. |
uniform | Invocations in the same shader stage | For uniform buffer variables |
storage | Invocations in the same shader stage | For storage buffer variables |
handle | Invocations in the same shader stage | For sampler and texture variables. |
When a token matches the address_space grammar nonterminal, it is considered a context-dependent name. In particular, the token does not resolve to any declared object.
Note: The token handle
is reserved: it is never used in a WGSL program.
5.3.6. Memory Layout
Uniform buffer and storage buffer variables are used to share bulk data organized as a sequence of bytes in memory. Buffers are shared between the CPU and the GPU, or between different shader stages in a pipeline, or between different pipelines.
Because buffer data are shared without reformatting or translation, it is a dynamic error if buffer producers and consumers do not agree on the memory layout, which is the description of how the bytes in a buffer are organized into typed WGSL values.
The store type of a buffer variable must be host-shareable, with fully elaborated memory layout, as described below.
Each buffer variable must be declared in either the uniform or storage address spaces.
The memory layout of a type is significant only when evaluating an expression with:
An 8-bit byte is the most basic unit of host-shareable memory. The terms defined in this section express counts of 8-bit bytes.
We will use the following notation:
-
AlignOf(T) is the alignment of host-shareable type T.
-
AlignOfMember(S, i) is the alignment of the i’th member of the host-shareable structure S.
-
SizeOf(T) is the byte-size of host-shareable type T.
-
SizeOfMember(S, i) is the size of the i’th member of the host-shareable structure S.
-
OffsetOfMember(S, i) is the offset of the i’th member from the start of the host-shareable structure S.
-
StrideOf(A) is the element stride of host-shareable array type A, defined as the number of bytes from the start of one array element to the start of the next element. It equals the size of the array’s element type, rounded up to the alignment of the element type:
StrideOf(array<E, N>) = roundUp(AlignOf(E), SizeOf(E))
StrideOf(array<E>) = roundUp(AlignOf(E), SizeOf(E))
5.3.6.1. Alignment and Size
Each host-shareable data type T has an alignment and size.
The alignment of a type is a constraint on where values of that type may be placed in memory, expressed as an integer: a type’s alignment must evenly divide the byte address of the starting memory location of a value of that type. Alignments enable use of more efficient hardware instructions for accessing the values, or satisfy more restrictive hardware requirements on certain address spaces. (See address space layout constraints).
Note: Each alignment value is always a power of two, by construction.
The byte-size of a type or structure member is the number of contiguous bytes reserved in host-shareable memory for the purpose of storing a value of the type or structure member. The size may include non-addressable padding at the end of the type. Consequently, loads and stores of a value might access fewer memory locations than the value’s size.
Alignment and size for host-shareable types are defined recursively in the following table:
Host-shareable type T | AlignOf(T) | SizeOf(T) |
---|---|---|
i32, u32, or f32 | 4 | 4 |
f16 | 2 | 2 |
atomic<|T|> | 4 | 4 |
vec2<T>, T is i32, u32, or f32 | 8 | 8 |
vec2<f16> | 4 | 4 |
vec3<T>, T is i32, u32, or f32 | 16 | 12 |
vec3<f16> | 8 | 6 |
vec4<T>, T is i32, u32, or f32 | 16 | 16 |
vec4<f16> | 8 | 8 |
matCxR (col-major) (General form) | AlignOf(vecR) | SizeOf(array<vecR, C>) |
mat2x2<f32> | 8 | 16 |
mat2x2<f16> | 4 | 8 |
mat3x2<f32> | 8 | 24 |
mat3x2<f16> | 4 | 12 |
mat4x2<f32> | 8 | 32 |
mat4x2<f16> | 4 | 16 |
mat2x3<f32> | 16 | 32 |
mat2x3<f16> | 8 | 16 |
mat3x3<f32> | 16 | 48 |
mat3x3<f16> | 8 | 24 |
mat4x3<f32> | 16 | 64 |
mat4x3<f16> | 8 | 32 |
mat2x4<f32> | 16 | 32 |
mat2x4<f16> | 8 | 16 |
mat3x4<f32> | 16 | 48 |
mat3x4<f16> | 8 | 24 |
mat4x4<f32> | 16 | 64 |
mat4x4<f16> | 8 | 32 |
struct S with members M1...MN | max(AlignOfMember(S,1), ... , AlignOfMember(S,N)) | roundUp(AlignOf(S), justPastLastMember) where justPastLastMember = OffsetOfMember(S,N) + SizeOfMember(S,N) |
array<E, N> | AlignOf(E) | N × roundUp(AlignOf(E), SizeOf(E)) |
array<E> | AlignOf(E) | Nruntime × roundUp(AlignOf(E),SizeOf(E)) where Nruntime is the runtime-determined number of elements of T |
5.3.6.2. Structure Member Layout
The internal layout of a structure is computed from the sizes and alignments of its members. By default, the members are arranged tightly, in order, without overlap, while satisfying member alignment requirements.
This default internal layout can be overriden by using layout attributes, which are:
The i’th member of structure type S has a size and alignment, denoted by SizeOfMember(S, i) and AlignOfMember(S, i), respectively. The member sizes and alignments are used to calculate each member’s byte offset from the start of the structure, as described in § 5.3.6.4 Internal Layout of Values.
SizeOfMember(S, i) is k if the i’th member of S has attribute size(k). Otherwise, it is SizeOf(T) where T is the type of the member.
AlignOfMember(S, i) is k if the i’th member of S has attribute align(k). Otherwise, it is AlignOf(T) where T is the type of the member.
If a structure member has the size attribute applied, the value must be at least as large as the size of the member’s type:
SizeOfMember(S, i) ≥ SizeOf(T)
Where T is the type of the i’th member of S.
The first structure member always has a zero byte offset from the start of the structure:
OffsetOfMember(S, 1) = 0
Each subsequent member is placed at the lowest offset that satisfies the member type alignment, and which avoids overlap with the previous member. For each member index i > 1:
OffsetOfMember(S, i) = roundUp(AlignOfMember(S, i ), OffsetOfMember(S, i-1) + SizeOfMember(S, i-1))
struct A { // align(8) size(24) u :f32 , // offset(0) align(4) size(4) v :f32 , // offset(4) align(4) size(4) w :vec2 < f32 > , // offset(8) align(8) size(8) x :f32 // offset(16) align(4) size(4) // -- implicit struct size padding -- // offset(20) size(4) } struct B { // align(16) size(160) a :vec2 < f32 > , // offset(0) align(8) size(8) // -- implicit member alignment padding -- // offset(8) size(8) b :vec3 < f32 > , // offset(16) align(16) size(12) c :f32 , // offset(28) align(4) size(4) d :f32 , // offset(32) align(4) size(4) // -- implicit member alignment padding -- // offset(36) size(4) e :A , // offset(40) align(8) size(24) f :vec3 < f32 > , // offset(64) align(16) size(12) // -- implicit member alignment padding -- // offset(76) size(4) g :array < A , 3 > , // element stride 24 offset(80) align(8) size(72) h :i32 // offset(152) align(4) size(4) // -- implicit struct size padding -- // offset(156) size(4) } @ group ( 0 ) @ binding ( 0 ) var < storage , read_write > storage_buffer :B ;
struct A { // align(8) size(32) u :f32 , // offset(0) align(4) size(4) v :f32 , // offset(4) align(4) size(4) w :vec2 < f32 > , // offset(8) align(8) size(8) @ size ( 16 ) x :f32 // offset(16) align(4) size(16) } struct B { // align(16) size(208) a :vec2 < f32 > , // offset(0) align(8) size(8) // -- implicit member alignment padding -- // offset(8) size(8) b :vec3 < f32 > , // offset(16) align(16) size(12) c :f32 , // offset(28) align(4) size(4) d :f32 , // offset(32) align(4) size(4) // -- implicit member alignment padding -- // offset(36) size(12) @ align ( 16 ) e :A , // offset(48) align(16) size(32) f :vec3 < f32 > , // offset(80) align(16) size(12) // -- implicit member alignment padding -- // offset(92) size(4) g :array < A , 3 > , // element stride 32 offset(96) align(8) size(96) h :i32 // offset(192) align(4) size(4) // -- implicit struct size padding -- // offset(196) size(12) } @ group ( 0 ) @ binding ( 0 ) var < uniform > uniform_buffer :B ;
5.3.6.3. Array Layout Examples
// Array where: // - alignment is 4 = AlignOf(f32) // - element stride is 4 = roundUp(AlignOf(f32),SizeOf(f32)) = roundUp(4,4) // - size is 32 = stride * number_of_elements = 4 * 8 var small_stride :array < f32 , 8 > ; // Array where: // - alignment is 16 = AlignOf(vec3<f32>) = 16 // - element stride is 16 = roundUp(AlignOf(vec3<f32>), SizeOf(vec3<f32>)) // = roundUp(16,12) // - size is 128 = stride * number_of_elements = 16 * 8 var bigger_stride :array < vec3 < f32 > , 8 > ;
// Array where: // - alignment is 4 = AlignOf(f32) // - element stride is 4 = roundUp(AlignOf(f32),SizeOf(f32)) = 4 // If B is the effective buffer binding size for the binding on the // draw or dispatch command, the number of elements is: // N_runtime = floor(B / element stride) = floor(B / 4) @ group ( 0 ) @ binding ( 0 ) var < storage > weights :array < f32 > ; // Array where: // - alignment is 16 = AlignOf(vec3<f32>) = 16 // - element stride is 16 = roundUp(AlignOf(vec3<f32>), SizeOf(vec3<f32>)) // = roundUp(16,12) // If B is the effective buffer binding size for the binding on the // draw or dispatch command, the number of elements is: // N_runtime = floor(B / element stride) = floor(B / 16) var < storage > directions :array < vec3 < f32 >> ;
5.3.6.4. Internal Layout of Values
This section describes how the internals of a value are placed in the byte locations of a buffer, given an assumed placement of the overall value. These layouts depend on the value’s type, and the align and size attributes on structure members.
The buffer byte offset at which a value is placed must satisfy the type alignment requirement: If a value of type T is placed at buffer offset k, then k = c × AlignOf(T), for some non-negative integer c.
The data will appear identically regardless of the address space.
When a value V of type u32 or i32 is placed at byte offset k of a host-shared buffer, then:
-
Byte k contains bits 0 through 7 of V
-
Byte k+1 contains bits 8 through 15 of V
-
Byte k+2 contains bits 16 through 23 of V
-
Byte k+3 contains bits 24 through 31 of V
Note: Recall that i32 uses twos-complement representation, so the sign bit is in bit position 31.
A value V of type f32 is represented in IEEE-754 binary32 format. It has one sign bit, 8 exponent bits, and 23 fraction bits. When V is placed at byte offset k of host-shared buffer, then:
-
Byte k contains bits 0 through 7 of the fraction.
-
Byte k+1 contains bits 8 through 15 of the fraction.
-
Bits 0 through 6 of byte k+2 contain bits 16 through 22 of the fraction.
-
Bit 7 of byte k+2 contains bit 0 of the exponent.
-
Bits 0 through 6 of byte k+3 contain bits 1 through 7 of the exponent.
-
Bit 7 of byte k+3 contains the sign bit.
A value V of type f16 is represented in IEEE-754 binary16 format. It has one sign bit, 5 exponent bits, and 10 fraction bits. When V is placed at byte offset k of host-shared buffer, then:
-
Byte k contains bits 0 through 7 of the fraction.
-
Bits 0 through 1 of byte k+1 contain bits 8 through 9 of the fraction.
-
Bits 2 through 6 of byte k+1 contain bits 0 through 4 of the exponent.
-
Bit 7 of byte k+1 contains the sign bit.
Note: The above rules imply that numeric values in host-shared buffers are stored in little-endian format.
When a value V of atomic type atomic
<T> is placed in a host-shared buffer,
it has the same internal layout as a value of the underlying type T.
When a value V of vector type vecN<T> is placed at byte offset k of a host-shared buffer, then:
-
V.x is placed at byte offset k
-
V.y is placed at byte offset k + SizeOf(T)
-
If N ≥ 3, then V.z is placed at byte offset k + 2 × SizeOf(T)
-
If N ≥ 4, then V.w is placed at byte offset k + 3 × SizeOf(T)
When a value V of matrix type matCxR<T> is placed at byte offset k of a host-shared buffer, then:
-
Column vector i of V is placed at byte offset k + i × AlignOf(vecR<T>)
When a value of array type A is placed at byte offset k of a host-shared memory buffer, then:
-
Element i of the array is placed at byte offset k + i × StrideOf(A)
When a value of structure type S is placed at byte offset k of a host-shared memory buffer, then:
-
The i’th member of the structure value is placed at byte offset k + OffsetOfMember(S,i). See § 5.3.6.2 Structure Member Layout.
5.3.6.5. Address Space Layout Constraints
The storage and uniform address spaces have different buffer layout constraints which are described in this section.
All structure and array types directly or indirectly referenced by a variable must obey the constraints of the variable’s address space. Violations of an address space constraint results in a shader-creation error.
In this section we define RequiredAlignOf(S, C) as the byte offset alignment requirement of values of host-shareable type S when used in address space C.
Host-shareable type S | RequiredAlignOf(S, storage) | RequiredAlignOf(S, uniform) |
---|---|---|
i32, u32, f32, or f16 | AlignOf(S) | AlignOf(S) |
atomic<T> | AlignOf(S) | AlignOf(S) |
vecN<T> | AlignOf(S) | AlignOf(S) |
matCxR<T> | AlignOf(S) | AlignOf(S) |
array<T, N> | AlignOf(S) | roundUp(16, AlignOf(S)) |
array<T> | AlignOf(S) | roundUp(16, AlignOf(S)) |
struct S | AlignOf(S) | roundUp(16, AlignOf(S)) |
Structure members of type T must have a byte offset from the start of the structure that is a multiple of the RequiredAlignOf(T, C) for the address space C:
OffsetOfMember(S, M) = k × RequiredAlignOf(T, C)
Where k is a positive integer and M is a member of structure S with type T
Arrays of element type T must have an element stride that is a multiple of the RequiredAlignOf(T, C) for the address space C:
StrideOf(array<T, N>) = k × RequiredAlignOf(T, C)
StrideOf(array<T>) = k × RequiredAlignOf(T, C)
Where k is a positive integer
Note: RequiredAlignOf(T, C) does not impose any additional restrictions on the values permitted for an align attribute, nor does it affect the rules of AlignOf(T). Data is laid out with the rules defined in previous sections and then the resulting layout is validated against the RequiredAlignOf(T, C) rules.
The uniform address space also requires that:
-
Array elements are aligned to 16 byte boundaries. That is, StrideOf(array<T,N>) = 16 × k’ for some positive integer k’.
-
If a structure member itself has a structure type
S
, then the number of bytes between the start of that member and the start of any following member must be at least roundUp(16, SizeOf(S)).
Note: The following examples show how to use align and size attributes on structure members to satisfy layout requirements for uniform buffers. In particular, these techniques can be used mechanically transform a GLSL buffer with std140 layout to WGSL.
struct S { x :f32 } struct Invalid { a :S , b :f32 // invalid: offset between a and b is 4 bytes, but must be at least 16 } @ group ( 0 ) @ binding ( 0 ) var < uniform > invalid :Invalid ; struct Valid { a :S , @ align ( 16 ) b :f32 // valid: offset between a and b is 16 bytes } @ group ( 0 ) @ binding ( 1 ) var < uniform > valid :Valid ;
struct small_stride { a :array < f32 , 8 > // stride 4 } // Invalid, stride must be a multiple of 16 @ group ( 0 ) @ binding ( 0 ) var < uniform > invalid :small_stride ; struct wrapped_f32 { @ size ( 16 ) elem :f32 } struct big_stride { a :array < wrapped_f32 , 8 > // stride 16 } @ group ( 0 ) @ binding ( 1 ) var < uniform > valid :big_stride ; // Valid
5.4. Memory Views
In addition to calculating with plain values, a WGSL program will also often read values from memory or write values to memory, via memory access operations. Each memory access is performed via a memory view.
A memory view comprises:
-
a set of memory locations in a particular address space,
-
an interpretation of the contents of those locations as a WGSL type, known as the store type, and
-
an access mode.
The access mode of a memory view must be supported by the address space. See § 5.3.5 Address Spaces.
5.4.1. Reference and Pointer Types
WGSL has two kinds of types for representing memory views: reference types and pointer types.
Constraint | Type | Description |
---|---|---|
AS is an address space, T is a storable type, AM is an access mode | ref<AS,T,AM> |
The reference type identified with the set of memory views for memory locations in AS holding values of type T,
supporting memory accesses described by mode AM.
Here, T is the store type. Reference types are not written in WGSL program source; instead they are used to analyze a WGSL program. |
AS is an address space, T is a storable type, AM is an access mode | ptr<AS,T,AM> |
The pointer type identified with the set of memory views for memory locations in AS holding values of type T,
supporting memory accesses described by mode AM.
Here, T is the store type. Pointer types may appear in WGSL program source. |
Two pointer types are the same if and only if they have the same address space, store type, and access mode.
When analyzing a WGSL program, reference and pointer types are fully parameterized by an address space, a storable type, and an access mode. In code examples in this specification, the comments show this fully parameterized form.
However, in WGSL source text:
-
Reference types must not appear.
-
Pointer types may appear.
-
A pointer type is spelled with parameterization by:
-
store type, and
-
sometimes by access mode, as specified in § 5.4.2 Access Mode Defaults.
-
If a pointer type appears in the program source, it must also be valid to declare a variable, somewhere in the program, with the pointer type’s address space, store type, and access mode.
Note: This restriction forbids the declaration of certain type aliases and function formal parameters that can never be used at runtime. Without the restriction, it would be valid to declare an alias to a pointer type, but never be able to create a pointer value of that type. Similarly, it would be valid to declare a function with a pointer formal parameter, but never be able to call that function.
-
fn my_function ( /* 'ptr<function,i32,read_write>' is the type of a pointer value that references memory for keeping an 'i32' value, using memory locations in the 'function' address space. Here 'i32' is the store type. The implied access mode is 'read_write'. See below for access mode defaults. */ ptr_int :ptr < function , i32 > , // 'ptr<private,array<f32,50>,read_write>' is the type of a pointer value that // refers to memory for keeping an array of 50 elements of type 'f32', using // memory locations in the 'private' address space. // Here the store type is 'array<f32,50>'. // The implied access mode is 'read_write'. See below for access mode defaults. ptr_array :ptr < private , array < f32 , 50 >> ) { }
Reference types and pointer types are both sets of memory views: a particular memory view is associated with a unique reference value and also a unique pointer value:
Each pointer value p of type ptr<AS,T,AM> corresponds to a unique reference value r of type ref<AS,T,AM>, and vice versa, where p and r describe the same memory view.
5.4.2. Access Mode Defaults
The access mode for a memory view is often determined by context:
The storage address spaces supports both read and read_write access modes. Each other address space supports only one access mode. The default access mode for each address space is described in the following table.
Address Space | Default Access Mode |
---|---|
function | read_write |
private | read_write |
workgroup | read_write |
uniform | read |
storage | read |
handle | read |
When writing a variable declaration or a pointer type in WGSL source:
-
For the storage address space, the access mode is optional, and defaults to read.
-
For other address spaces, the access mode must not be written.
5.4.3. Originating Variable
In WGSL a reference value always corresponds to the memory view for some or all of the memory locations for some variable. This defines the originating variable for the reference value.
A pointer value always corresponds to a reference value, and so the originating variable of a pointer is the same as the originating variable of the corresponding reference.
Note: The originating variable is a dynamic concept. The originating variable for a formal parameter of a function depends on the call sites for the function. Different call sites may supply pointers into different originating variables.
5.4.4. Invalid Memory Reference
If a reference or pointer access is out of bounds, an invalid memory reference is produced. Loads from an invalid reference return one of:
-
when the originating variable is a uniform buffer or a storage buffer, the value from any memory location(s) of the WebGPU buffer bound to the originating variable
-
when the originating variable is not a uniform buffer or storage buffer, a value from any memory location(s) in the originating variable
-
the zero value for store type of the reference
-
if the loaded value is a vector, the value (0, 0, 0, x), where x is:
-
0, 1, or the maximum positive value for integer components
-
0.0 or 1.0 for floating-point components
-
-
when the originating variable is a uniform buffer or a storage buffer, store the value to any memory location(s) of the WebGPU buffer bound to the originating variable
-
when the originating variable is not a uniform buffer or storage buffer, store the value to any memory locations(s) in the originating variable
-
not be executed
5.4.5. Use Cases for References and Pointers
References and pointers are distinguished by how they are used:
-
The type of a variable is a reference type.
-
The address-of operation (unary
&
) converts a reference value to its corresponding pointer value. -
The indirection operation (unary
*
) converts a pointer value to its corresponding reference value. -
A let-declaration can be of pointer type, but not of reference type.
-
A formal parameter can be of pointer type, but not of reference type.
-
A simple assignment statement performs a write access to update the contents of memory via a reference, where:
-
The left-hand side of the assignment statement must be of reference type, with access mode write or read_write.
-
The right-hand side of the assignment statement must evaluate to the store type of the left-hand side.
-
-
The Load Rule: Inside a function, a reference is automatically dereferenced (read from) to satisfy type rules:
-
In a function, when a reference expression r with store type T is used in a statement or an expression, where
-
r has an access mode of read or read_write, and
-
The only potentially matching type rules require r to have a value of type T, then
-
That type rule requirement is considered to have been met, and
-
The result of evaluating r in that context is the value (of type T) stored in the memory locations referenced by r at the time of evaluation. That is, a read access is performed to produce the result value.
-
Defining references in this way enables simple idiomatic use of variables:
@ compute @ workgroup_size ( 1 ) fn main () { // 'i' has reference type ref<function,i32,read_write> // The memory locations for 'i' store the i32 value 0. var i :i32 = 0 ; // 'i + 1' can only match a type rule where the 'i' subexpression is of type i32. // So the expression 'i + 1' has type i32, and at evaluation, the 'i' subexpression // evaluates to the i32 value stored in the memory locations for 'i' at the time // of evaluation. let one :i32 = i + 1 ; // Update the value in the locations referenced by 'i' so they hold the value 2. i = one + 1 ; // Update the value in the locations referenced by 'i' so they hold the value 5. // The evaluation of the right-hand-side occurs before the assignment takes effect. i = i + 3 ; }
var < private > age :i32 ; fn get_age () ->i32 { // The type of the expression in the return statement must be 'i32' since it // must match the declared return type of the function. // The 'age' expression is of type ref<private,i32,read_write>. // Apply the Load Rule, since the store type of the reference matches the // required type of the expression, and no other type rule applies. // The evaluation of 'age' in this context is the i32 value loaded from the // memory locations referenced by 'age' at the time the return statement is // executed. return age ; } fn caller () { age = 21 ; // The copy_age constant will get the i32 value 21. let copy_age :i32 = get_age (); }
Defining pointers in this way enables two key use cases:
-
Using a let-declaration with pointer type, to form a short name for part of the contents of a variable.
-
Using a formal parameter of a function to refer to the memory of a variable that is accessible to the calling function.
-
The call to such a function must supply a pointer value for that operand. This often requires using an address-of operation (unary
&
) to get a pointer to the variable’s contents.
-
Note: The following examples use WGSL features explained later in this specification.
struct Particle { position :vec3 < f32 > , velocity :vec3 < f32 > } struct System { active_index :i32 , timestep :f32 , particles :array < Particle , 100 > } @ group ( 0 ) @ binding ( 0 ) var < storage , read_write > system :System ; @ compute @ workgroup_size ( 1 ) fn main () { // Form a pointer to a specific Particle in storage memory. let active_particle :ptr < storage , Particle > = & system . particles [ system . active_index ]; let delta_position :vec3 < f32 > = ( * active_particle ). velocity * system . timestep ; let current_position :vec3 < f32 > = ( * active_particle ). position ; ( * active_particle ). position = delta_position + current_position ; }
fn add_one ( x :ptr < function , i32 > ) { /* Update the locations for 'x' to contain the next higher integer value, (or to wrap around to the largest negative i32 value). On the left-hand side, unary '*' converts the pointer to a reference that can then be assigned to. It has a read_write access mode, by default. /* On the right-hand side: - Unary '*' converts the pointer to a reference, with a read_write access mode. - The only matching type rule is for addition (+) and requires '*x' to have type i32, which is the store type for '*x'. So the Load Rule applies and '*x' evaluates to the value stored in the memory for '*x' at the time of evaluation, which is the i32 value for 0. - Add 1 to 0, to produce a final value of 1 for the right-hand side. */ Store 1 into the memory for '*x'. */ * x = * x + 1 ; } @ compute @ workgroup_size ( 1 ) fn main () { var i :i32 = 0 ; // Modify the contents of 'i' so it will contain 1. // Use unary '&' to get a pointer value for 'i'. // This is a clear signal that the called function has access to the memory // for 'i', and may modify it. add_one ( & i ); let one :i32 = i ; // 'one' has value 1. }
5.4.6. Forming Reference and Pointer Values
A reference value is formed in one of the following ways:
-
The identifier resolving to an in-scope variable v denotes the reference value for v's memory.
-
The resolved variable is the originating variable for the reference.
-
-
Use the indirection (unary
*
) operation on a pointer.-
The originating variable of the result is defined as the originating variable of the pointer.
-
-
Use a composite reference component expression. In each case the originating variable of the result is defined as the originating variable of the original reference.
-
Given a reference with a vector store type, appending a single-letter vector access phrase results in a reference to the named component of the vector. See § 7.7.1.3 Component Reference from Vector Reference.
-
Given a reference with a vector store type, appending an array index access phrase results in a reference to the indexed component of the vector. See § 7.7.1.3 Component Reference from Vector Reference.
-
Given a reference with a matrix store type, appending an array index access phrase results in a reference to the indexed column vector of the matrix. See § 7.7.2 Matrix Access Expression.
-
Given a reference with an array store type, appending an array index access phrase results in a reference to the indexed element of the array. See § 7.7.3 Array Access Expression.
-
Given a reference with a structure store type, appending a member access phrase results in a reference to the named member of the structure. See § 7.7.4 Structure Access Expression.
-
In all cases, the access mode of the result is the same as the access mode of the original reference.
struct S { age :i32 , weight :f32 } var < private > person :S ; // Elsewhere, 'person' denotes the reference to the memory underlying the variable, // and will have type ref<private,S,read_write>. fn f () { var uv :vec2 < f32 > ; // For the remainder of this function body, 'uv' denotes the reference // to the memory underlying the variable, and will have type // ref<function,vec2<f32>,read_write>. // Evaluate the left-hand side of the assignment: // Evaluate 'uv.x' to yield a reference: // 1. First evaluate 'uv', yielding a reference to the memory for // the 'uv' variable. The result has type ref<function,vec2<f32>,read_write>. // 2. Then apply the '.x' vector access phrase, yielding a reference to // the memory for the first component of the vector pointed at by the // reference value from the previous step. // The result has type ref<function,f32,read_write>. // Evaluating the right-hand side of the assignment yields the f32 value 1.0. // Store the f32 value 1.0 into the storage memory locations referenced by uv.x. uv . x = 1.0 ; // Evaluate the left-hand side of the assignment: // Evaluate 'uv[1]' to yield a reference: // 1. First evaluate 'uv', yielding a reference to the memory for // the 'uv' variable. The result has type ref<function,vec2<f32>,read_write>. // 2. Then apply the '[1]' array index phrase, yielding a reference to // the memory for second component of the vector referenced from // the previous step. The result has type ref<function,f32,read_write>. // Evaluating the right-hand side of the assignment yields the f32 value 2.0. // Store the f32 value 2.0 into the storage memory locations referenced by uv[1]. uv [ 1 ] = 2.0 ; var m :mat3x2 < f32 > ; // When evaluating 'm[2]': // 1. First evaluate 'm', yielding a reference to the memory for // the 'm' variable. The result has type ref<function,mat3x2<f32>,read_write>. // 2. Then apply the '[2]' array index phrase, yielding a reference to // the memory for the third column vector pointed at by the reference // value from the previous step. // Therefore the 'm[2]' expression has type ref<function,vec2<f32>,read_write>. // The 'let' declaration is for type vec2<f32>, so the declaration // statement requires the initializer to be of type vec2<f32>. // The Load Rule applies (because no other type rule can apply), and // the evaluation of the initializer yields the vec2<f32> value loaded // from the memory locations referenced by 'm[2]' at the time the declaration // is executed. let p_m_col2 :vec2 < f32 > = m [ 2 ]; var A :array < i32 , 5 > ; // When evaluating 'A[4]' // 1. First evaluate 'A', yielding a reference to the memory for // the 'A' variable. The result has type ref<function,array<i32,5>,read_write>. // 2. Then apply the '[4]' array index phrase, yielding a reference to // the memory for the fifth element of the array referenced by // the reference value from the previous step. // The result value has type ref<function,i32,read_write>. // The let-declaration requires the right-hand-side to be of type i32. // The Load Rule applies (because no other type rule can apply), and // the evaluation of the initializer yields the i32 value loaded from // the memory locations referenced by 'A[4]' at the time the declaration // is executed. let A_4_value :i32 = A [ 4 ]; // When evaluating 'person.weight' // 1. First evaluate 'person', yielding a reference to the memory for // the 'person' variable declared at module scope. // The result has type ref<private,S,read_write>. // 2. Then apply the '.weight' member access phrase, yielding a reference to // the memory for the second member of the memory referenced by // the reference value from the previous step. // The result has type ref<private,f32,read_write>. // The let-declaration requires the right-hand-side to be of type f32. // The Load Rule applies (because no other type rule can apply), and // the evaluation of the initializer yields the f32 value loaded from // the memory locations referenced by 'person.weight' at the time the // declaration is executed. let person_weight :f32 = person . weight ; }
A pointer value is formed in one of the following ways:
-
Use the address-of (unary
&
) operator on a reference.-
The originating variable of the result is defined as the originating variable of the reference.
-
-
If a function formal parameter has pointer type, then when the function is invoked at runtime the uses of the formal parameter denote the pointer value provided to the corresponding operand at the call site in the calling function.
-
The originating variable of the formal parameter (at runtime) is defined as the originating variable of the pointer operand at the call site.
-
In all cases, the access mode of the result is the same as the access mode of the original pointer.
// Declare a variable in the private address space, for storing an f32 value. var < private > x :f32 ; fn f () { // Declare a variable in the function address space, for storing an i32 value. var y :i32 ; // The name 'x' resolves to the module-scope variable 'x', // and has reference type ref<private,f32,read_write>. // Applying the unary '&' operator converts the reference to a pointer. // The access mode is the same as the access mode of the original variable, so // the fully specified type is ptr<private,f32,read_write>. But read_write // is the default access mode for function address space, so read_write does not // have to be spelled in this case let x_ptr :ptr < private , f32 > = & x ; // The name 'y' resolves to the function-scope variable 'y', // and has reference type ref<private,i32,read_write>. // Applying the unary '&' operator converts the reference to a pointer. // The access mode defaults to 'read_write'. let y_ptr :ptr < function , i32 > = & y ; // A new variable, distinct from the variable declared at module scope. var x :u32 ; // Here, the name 'x' resolves to the function-scope variable 'x' declared in // the previous statement, and has type ref<function,u32,read_write>. // Applying the unary '&' operator converts the reference to a pointer. // The access mode defaults to 'read_write'. let inner_x_ptr :ptr < function , u32 > = & x ; }
5.4.7. Comparison with References and Pointers in Other Languages
This section is informative, not normative.
References and pointers in WGSL are more restricted than in other languages. In particular:
-
In WGSL a reference can’t directly be declared as an alias to another reference or variable, either as a variable or as a formal parameter.
-
In WGSL pointers and references are not storable. That is, the content of a WGSL variable declaration may not contain a pointer or a reference.
-
In WGSL a function must not return a pointer or reference.
-
In WGSL there is no way to convert between integer values and pointer values.
-
In WGSL there is no way to forcibly change the type of a pointer value into another pointer type.
-
A composite component reference expression is different: it takes a reference to a composite value and yields a reference to one of the components or elements inside the composite value. These are considered different references in WGSL, even though they may have the same machine address at a lower level of implementation abstraction.
-
-
In WGSL there is no way to forcibly change the type of a reference value into another reference type.
-
In WGSL there is no way to change the access mode of a pointer or reference.
-
By comparison, C++ automatically converts a non-const pointer to a const pointer, and has a
const_cast
to convert a const value to a non-const value.
-
-
In WGSL there is no way to allocate new memory from a "heap".
-
In WGSL there is no way to explicitly destroy a variable. The memory for a WGSL variable becomes inaccessible only when the variable goes out of scope.
Note: From the above rules, it is not possible to form a "dangling" pointer, i.e. a pointer that does not reference the memory for a valid (or "live") originating variable.
5.5. Texture and Sampler Types
A texel is a scalar or vector used as the smallest independently accessible element of a texture. The word texel is short for texture element.
A texture is a collection of texels supporting special operations useful for rendering. In WGSL, those operations are invoked via texture builtin functions. See § 17.5 Texture Built-in Functions for a complete list.
A WGSL texture corresponds to a WebGPU GPUTexture.
A texture is either arrayed, or non-arrayed:
-
A non-arrayed texture is a grid of texels. Each texel has a unique grid coordinate.
-
An arrayed texture is a homogeneous array of grids of texels. In an arrayed texture, each texel is identified with its unique combination of array index and grid coordinate.
A texture has the following features:
- texel format
-
The data in each texel. See § 5.5.1 Texel Formats.
- dimensionality
-
The number of dimensions in the grid coordinates, and how the coordinates are interpreted. The number of dimensions is 1, 2, or 3. Most textures use cartesian coordinates. Cube textures have six square faces, and are sampled with a three dimensional coordinate interpreted as a direction vector from the origin toward the cube centered on the origin.
- size
-
The extent of grid coordinates along each dimension.
- mip level count
-
The mip level count is at least 1 for sampled textures, and equal to 1 for storage textures.
Mip level 0 contains a full size version of the texture. Each successive mip level contains a filtered version of the previous mip level at half the size (within rounding) of the previous mip level.
When sampling a texture, an explicit or implicitly-computed level-of-detail is used to select the mip levels from which to read texel data. These are then combined via filtering to produce the sampled value. - arrayed
-
whether the texture is arrayed.
- array size
-
the number of homogeneous grids, if the texture is arrayed
A texture’s representation is typically optimized for rendering operations. To achieve this, many details are hidden from the programmer, including data layouts, data types, and internal operations that cannot be expressed directly in the shader language.
As a consequence, a shader does not have direct access to the texel memory within a texture variable. Instead, access is mediated through an opaque handle:
-
Within the shader:
-
Declare a module-scope variable where the store type is one of the texture types described in later sections. The variable stores an opaque handle to the underlying texture memory, and is automatically placed in the handle address space.
-
Inside a function, call one of the texture builtin functions, and provide the texture variable or function parameter as the builtin function’s first parameter.
-
-
When constructing the WebGPU pipeline, the texture variable’s store type and binding must be compatible with the corresponding bind group layout entry.
In this way, the set of supported operations for a texture type is determined by the availability of texture builtin functions having a formal parameter with that texture type.
Note: The handle stored by a texture variable cannot be changed by the shader. That is, the variable is read-only, even if the underlying texture to which it provides access may be mutable (e.g. a write-only storage texture).
The texture types are the set of types defined in:
A sampler is an opaque handle that controls how texels are accessed from a sampled texture.
A WGSL sampler maps to a WebGPU GPUSampler.
Texel access is controlled via several properties of the sampler:
- addressing mode
-
Controls how texture boundaries and out-of-bounds coordinates are resolved. The addressing mode for each texture dimension can be set independently. See WebGPU GPUAddressMode.
- filter mode
-
Controls which texels are accessed to produce the final result. Filtering can either use the nearest texel or interpolate between multiple texels. Multiple filter modes can be set independently. See WebGPU GPUFilterMode.
- LOD clamp
-
Controls the min and max levels of details that are accessed.
- comparison
-
Controls the type of comparison done for comparison sampler. See WebGPU GPUCompareFunction.
- max anisotropy
-
Controls the maximum anisotropy value used by the sampler.
Samplers cannot be created in WGSL programs and their state (e.g. the properties listed above) are immutable within a shader and can only be set by the WebGPU API.
It is a pipeline-creation error if a filtering sampler (i.e. any sampler using interpolative filtering) is used with texture that has a non-filterable format.
Note: The handle stored by a sampler variable cannot be changed by the shader.
5.5.1. Texel Formats
In WGSL, certain texture types are parameterized by texel format.
A texel format is characterized by:
- channels
-
Each channel contains a scalar. A texel format has up to four channels:
r
,g
,b
, anda
, normally corresponding to the concepts of red, green, blue, and alpha channels. - channel format
-
The number of bits in the channel, and how those bits are interpreted.
Each texel format in WGSL corresponds to a WebGPU GPUTextureFormat with the same name.
Only certain texel formats are used in WGSL source code. The channel formats used to define those texel formats are listed in the Channel Formats table. The last column specifies the conversion from the stored channel bits to the value used in the shader. This is also known as the channel transfer function, or CTF.
Note: The channel transfer function for 8unorm maps {0,...,255} to the floating point interval [0.0, 1.0].
Note: The channel transfer function for 8snorm maps {-128,...,127} to the floating point interval [-1.0, 1.0].
Channel format | Number of stored bits | Interpretation of stored bits | Shader type | Shader value (Channel Transfer Function) |
---|---|---|---|---|
8unorm | 8 | unsigned integer v ∈ {0,...,255} | f32 | v ÷ 255 |
8snorm | 8 | signed integer v ∈ {-128,...,127} | f32 | max(-1, v ÷ 127) |
8uint | 8 | unsigned integer v ∈ {0,...,255} | u32 | v |
8sint | 8 | signed integer v ∈ {-128,...,127} | i32 | v |
16uint | 16 | unsigned integer v ∈ {0,...,65535} | u32 | v |
16sint | 16 | signed integer v ∈ {-32768,...,32767} | i32 | v |
16float | 16 | IEEE-754 binary16 16-bit floating point value v, with 1 sign bit, 5 exponent bits, 10 mantissa bits | f32 | v |
32uint | 32 | 32-bit unsigned integer value v | u32 | v |
32sint | 32 | 32-bit signed integer value v | i32 | v |
32float | 32 | IEEE-754 binary32 32-bit floating point value v | f32 | v |
The texel formats listed in the Texel Formats for Storage Textures table correspond to the WebGPU plain color formats which support the WebGPU STORAGE usage. These texel formats are used to parameterize the storage texture types defined in § 5.5.5 Storage Texture Types.
When the texel format does not have all four channels, then:
-
When reading the texel:
-
If the texel format has no green channel, then the second component of the shader value is 0.
-
If the texel format has no blue channel, then the third component of the shader value is 0.
-
If the texel format has no alpha channel, then the fourth component of the shader value is 1.
-
-
When writing the texel, shader value components for missing channels are ignored.
The last column in the table below uses the format-specific channel transfer function from the channel formats table.
Texel format | Channel format | Channels in memory order | Corresponding shader value |
---|---|---|---|
rgba8unorm | 8unorm | r, g, b, a | vec4<f32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba8snorm | 8snorm | r, g, b, a | vec4<f32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba8uint | 8uint | r, g, b, a | vec4<u32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba8sint | 8sint | r, g, b, a | vec4<i32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba16uint | 16uint | r, g, b, a | vec4<u32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba16sint | 16sint | r, g, b, a | vec4<i32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba16float | 16float | r, g, b, a | vec4<f32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
r32uint | 32uint | r | vec4<u32>(CTF(r), 0u, 0u, 1u) |
r32sint | 32sint | r | vec4<i32>(CTF(r), 0, 0, 1) |
r32float | 32float | r | vec4<f32>(CTF(r), 0.0, 0.0, 1.0) |
rg32uint | 32uint | r, g | vec4<u32>(CTF(r), CTF(g), 0.0, 1.0) |
rg32sint | 32sint | r, g | vec4<i32>(CTF(r), CTF(g), 0.0, 1.0) |
rg32float | 32float | r, g | vec4<f32>(CTF(r), CTF(g), 0.0, 1.0) |
rgba32uint | 32uint | r, g, b, a | vec4<u32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba32sint | 32sint | r, g, b, a | vec4<i32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
rgba32float | 32float | r, g, b, a | vec4<f32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
bgra8unorm | 8unorm | b, g, r, a | vec4<f32>(CTF(r), CTF(g), CTF(b), CTF(a)) |
5.5.2. Sampled Texture Types
texture_1d<type>
texture_2d<type>
texture_2d_array<type>
texture_3d<type>
texture_cube<type>
texture_cube_array<type>
-
type must be
f32
,i32
oru32
-
The parameterized type for the images is the type after conversion from sampling. E.g. you can have an image with texels with 8bit unorm components, but when you sample them you get a 32-bit float result (or vec-of-f32).
5.5.3. Multisampled Texture Types
texture_multisampled_2d<type>
-
type must be
f32
,i32
oru32
5.5.4. External Sampled Texture Types
texture_external
texture_external
is an opaque 2d float-sampled texture type similar to texture_2d<f32>
but potentially with a different representation.
It can be read using textureLoad or textureSampleBaseClampToEdge built-in functions,
which handle these different representations opaquely.
See WebGPU § GPUExternalTexture.
5.5.5. Storage Texture Types
A storage texture supports accessing a single texel without the use of a sampler.
-
A write-only storage texture supports writing a single texel, with automatic conversion of the shader value to a stored texel value.
A storage texture type must be parameterized by one of the texel formats for storage textures. The texel format determines the conversion function as specified in § 5.5.1 Texel Formats.
For a write-only storage texture the inverse of the conversion function is used to convert the shader value to the stored texel.
See § 17.5 Texture Built-in Functions.
TODO(dneto): Move description of the conversion to the builtin function that actually does the reading.
texture_storage_1d<texel_format,access>
texture_storage_2d<texel_format,access>
texture_storage_2d_array<texel_format,access>
texture_storage_3d<texel_format,access>
-
texel_format
is a context-dependent name and must be one of the texel types specified in storage-texel-formats -
access
is a context-dependent name and must be write.
5.5.6. Depth Texture Types
texture_depth_2d
texture_depth_2d_array
texture_depth_cube
texture_depth_cube_array
texture_depth_multisampled_2d
5.5.7. Sampler Type
A sampler mediates access to a sampled texture or a depth texture, by performing a combination of:
-
coordinate transformation.
-
optionally modifying mip-level selection.
-
for a sampled texture, optionally filtering retrieved texel values.
-
for a depth texture, determining the comparison function applied to the retrieved texel.
A sampler types are:
Type | Description |
---|---|
sampler | Sampler. Mediates access to a sampled texture. |
sampler_comparison | Comparison sampler. Mediates access to a depth texture. |
Samplers are parameterized when created in the WebGPU API. They cannot be modified by a WGSL program.
Samplers can only be used by the texture builtin functions.
sampler sampler_comparison
5.5.8. Texture and Sampler Types Grammar
| sampled_texture_type '<'
type_specifier '>'
5.6. Type Aliases
A type alias declares a new name for an existing type. The declaration must appear at module scope, and its scope is the entire program.
When type T is defined as a type alias for a structure type S, all properties of the members of S, including attributes, carry over to the members of T.
type Arr = array < i32 , 5 > ; type RTArr = array < vec4 < f32 >> ; type single = f32 ; // Declare an alias for f32 const pi_approx :single = 3.1415 ; fn two_pi () ->single { return single ( 2 ) * pi_approx ; }
5.7. Type Specifier Grammar
| ident
| 'bool'
| 'f32'
| 'f16'
| 'i32'
| 'u32'
| vec_prefix '<'
type_specifier '>'
| mat_prefix '<'
type_specifier '>'
| 'ptr'
'<'
address_space ','
type_specifier ( ','
access_mode ) ? '>'
| 'mat2x2'
| 'mat2x3'
| 'mat2x4'
| 'mat3x2'
| 'mat3x3'
| 'mat3x4'
| 'mat4x2'
| 'mat4x3'
| 'mat4x4'
When the type is named by an identifier, the use of the identifier must be in scope of a type alias or a structure type declaration for that name. See § 4 Declaration and Scope.
6. Variable and Value Declarations
Variable and value declarations provide names for data values.
A value declaration creates a name for a value, and that
value is immutable once it has been declared.
The four kinds of value declarations are const
, override
, let
, and formal parameter declarations,
further described below (see § 6.2 Value Declarations).
A variable declaration creates a name for memory locations for storing a value; the value stored there may be updated, if the variable has
a read_write access mode.
There is one kind of variable declaration, var
, but it has options for address space and access modes in various combinations, described
below (see § 6.3 var Declarations).
Note: A value declaration does not have associated memory locations. For example, no WGSL expression can form a pointer to the value.
A declaration appearing outside of any function definition is at module scope. Its name is in scope for the entire program.
A declaration appearing within a function definition is in function scope. The name is available for use in the statement immediately after its declaration until the end of the brace-delimited list of statements immediately enclosing the declaration. A function-scope declaration is a dynamic context.
Variable and value declarations have a similar overall syntax:
// Specific value declarations. const name [ :type ] = initializer ; [ attribute ] override name [ :type ] [ = initializer ]; let name [ :type ] = initializer ; // General variable form. [ attribute ] * var [ < address_space [, access_mode ] > ] name [ :type ] [ = initializer ]; // Specific variable declarations. // Function scope. var [ < function > ] name [ :type ] [ = initializer ]; // Module scope. var < private > name [ :type ] [ = initializer ]; var < workgroup > name :type ; [ attribute ] + var < uniform > name :type ; [ attribute ] + var name :texture_type ; [ attribute ] + var name :sampler_type ; [ attribute ] + var < storage [, access_mode ] > name :type ;
Each such declaration must have an explicitly specified type or an initializer. Both a type and an initializer may be specified. Each such declaration determines the type for the associated data value, known as the effective-value-type for the declaration. The effective-value-type of the declaration is:
-
The declared type, if explicitly specified.
-
Otherwise, if the initializer expression has type
T
:-
For a
const
declaration, the effective-value-type isT
itself. -
For a
override
,let
, orvar
declaration, the effective-value-type is the concretization ofT
.
-
Each kind of value or variable declaration may place additional constraints on the form of the initializer expression, if present, and on the effective-value-type.
-
Only const-declarations can be abstract types, and only when the type is not explicitly specified.
-
The type of the expression must be feasibly converted to the effective-value-type.
-
If an initializer is not specified, a value must be provided at pipeline-creation time.
-
Override-declarations are part of the shader interface, but are not bound resources.
-
Atomic types can only appear in mutable storage buffers or workgroup variables.
-
The data in storage textures with a write access mode is mutable, but can only be modified via textureStore built-in function. The variable itself cannot be modified.
-
The element count of the outermost array may be an override-expression.
-
If there is no initializer, the variable is default initialized.
6.1. Variables vs Values
Variable declarations are the only mutable data in a WGSL program. Value declarations are always immutable. Variables can be the basis of reference and pointer values because variables have associated memory locations, whereas a value declaration cannot be the basis of a pointer or reference value.
Using variables is generally more expensive than using value declarations, because using a variable requires extra operations to read or write to the memory locations associated with the variable.
Generally speaking, an author should prefer using declarations in the following order, with the most preferred option listed first:
This will generally result in the best overall performance of a shader.
6.2. Value Declarations
When an identifier resolves to a value declaration, the identifier denotes that value.
WGSL provides multiple kinds of value declarations. The value for each kind of declaration is fixed at a different point in the shader lifecycle. The different kinds of value declarations and when their values are fixed are:
-
let-declarations, when they are executed
-
formal parameter declarations, when the associated function call argument is executed
Note: Formal parameters are described in § 9 Functions.
6.2.1. const
Declarations
A const-declaration specifies a name for a data value that is fixed at shader-creation time. Each const-declaration requires an initializer. A const-declaration can be declared in module or function scope. The initializer expression must be a const-expression. The type of a const-declaration must be a concrete or abstract constructible type. const-declarations are the only declarations where the effective-value-type may be abstract.
Note: Since abstract numeric types cannot be spelled in WGSL, they can only be used via type inference.
const a = 4; // AbstractInt with a value of 4. const b : i32 = 4; // i32 with a value of 4. const c : u32 = 4; // u32 with a value of 4. const d : f32 = 4; // f32 with a value of 4. const e = vec3(a, a, a); // vec3 of AbstractInt with a value of (4, 4, 4). const f = 2.0; // AbstractFloat with a value of 2. const g = mat2x2(a, f, a, f); // mat2x2 of AbstractFloat with a value of: // ((4.0, 2.0), (4.0, 2.0)). // The AbstractInt a converts to AbstractFloat. // An AbstractFloat cannot convert to AbstractInt. const h = array(a, f, a, f); // array of AbstractFloat with 4 components: // (4.0, 2.0, 4.0, 2.0).
6.2.2. override
Declarations
An override-declaration specifies a name for a pipeline-overridable constant value. The value of a pipeline-overridable constant is fixed at pipeline-creation time. The value is one provided by the WebGPU pipeline-creation method, if specified, and otherwise is the value of its concretized initializer expression. The effective-value-type of an override-declaration must be a concrete scalar type.
An initializer expression is optional. If present, it must be an override-expression and represents the pipeline-overridable constant default value. If no initializer is specified, it is a pipeline-creation error if a value is not provided at pipeline-creation time.
If the declaration has an id attribute applied, the literal operand is known as the pipeline constant ID, and must be a unique integer between 0 and 65535 inclusive. That is, two override-declarations must not use the same pipeline constant ID.
The application can specify its own value for an override-declaration at pipeline-creation time. The pipeline creation API accepts a mapping from overridable constants to a value of the constant’s type. The constant is identified by a pipeline-overridable constant identifier string, which is the base-10 representation of the pipeline constant ID if specified, and otherwise the declared name of the constant.
@ id ( 0 ) override has_point_light :bool = true ; // Algorithmic control @ id ( 1200 ) override specular_param :f32 = 2.3 ; // Numeric control @ id ( 1300 ) override gain :f32 ; // Must be overridden override width :f32 = 0.0 ; // Specified at the API level using // the name "width". override depth :f32 ; // Specified at the API level using // the name "depth". // Must be overridden. override height = 2 * depth ; // The default value // (if not set at the API level), // depends on another // overridable constant.
6.2.3. let
Declarations
A let-declaration specifies a name for a value that is fixed each time the statement is executed at runtime. A let-declaration must only be declared in function scope, and as such, is a dynamic context. A let-declaration must have an initializer expression. The value is the concretized value of the initializer. The effective-value-type of a let-declaration must be either a concrete constructible type or a pointer type.
// 'blockSize' denotes the i32 value 1024. let blockSize :i32 = 1024 ; // 'row_size' denotes the u32 value 16u. The type is inferred. let row_size = 16 u ;
6.3. var
Declarations
A variable is a named reference to memory that can contain a value of a particular storable type.
Two types are associated with a variable: its store type (the type of value
that may be placed in the referenced memory) and its reference type (the type
of the variable itself).
If a variable has store type T
, address space AS
, and access mode AM
, then its reference type is ref<AS,T,AM>
.
The store type of a variable is always concrete.
A variable declaration:
-
Specifies the variable’s name.
-
Determines the variable’s address space, store type, and access mode. Together these comprise the variable’s reference type.
-
The store type is the effective-value-type of the variable’s declaration.
-
-
Ensures the execution environment allocates memory for a value of the store type, in the specified address space, supporting the given access mode, for the lifetime of the variable.
-
Optionally has an initializer expression if the variable is in the private or function address spaces. If present, the initializer must evaluate to the variable’s store type. If present, the initializer for a private variable must be a const-expression or an override-expression. Variables in address spaces other than function or private must not have an initializer.
When an identifier resolves to a variable declaration, the identifier is an expression denoting the reference memory view for the variable’s memory, and its type is the variable’s reference type. See § 7.13 Variable Identifier Expression.
Variables in the private, storage, uniform, workgroup, and handle address spaces must only be declared in module scope, while variables in the function address space must only be declared in function scope. The address space must be specified for all address spaces except handle and function. The handle address space must not be specified. Specifying the function address space is optional.
The access mode always has a default value, and except for variables in the storage address space, must not be specified in the WGSL source. See § 5.4.2 Access Mode Defaults.
A variable in the uniform address space is a uniform buffer variable. Its store type must be a host-shareable constructible type, and must satisfy the address space layout constraints.
A variable in the storage address space is a storage buffer variable. Its store type must be a host-shareable type and must satisfy the address space layout constraints. The variable may be declared with a read or read_write access mode; the default is read.
A texture resource is a variable whose effective-value-type is a texture type. It is declared at module scope. It holds an opaque handle which is used to access the underlying grid of texels in a texture. The handle itself is in the handle address space and is always read-only. In many cases the underlying texels are read-only, and we say the texture variable immutable. For a write-only storage texture, the underlying texels are write-only, and by convention we say the texture variable is mutable.
A sampler resource is a variable whose effective-value-type is a sampler type. It is declared at module scope, exists in the handle address space, and is immutable.
As described in § 10.3.2 Resource Interface, uniform buffers, storage buffers, textures, and samplers form the resource interface of a shader.
The lifetime of a variable is the period during shader execution for which the memory locations are associated with the variable. The lifetime of a module scope variable is the entire execution of the shader stage. There is an independent version of a variable in the private and function address spaces for each invocation. Function-scope variables are a dynamic context. The lifetime of a function-scope variable is determined by its scope:
-
It starts when control enters the variable’s declaration.
-
It ends when the name is no longer in scope of any part of the dynamic context. That is, the lifetime includes any functions called while the name is in scope.
Two resource variables may have overlapping memory locations, but it is a dynamic error if either of those variables is mutable. Other variables with overlapping lifetimes will not have overlapping memory locations. When a variable’s lifetime ends, its memory may be used for another variable.
Note: WGSL ensures the contents of a variable are only observable during the variable’s lifetime.
When a variable in the private, function, or workgroup address spaces is created, it will have an initial value. If no initializer is specified the initial value is the default initial value. The initial values are computed as follows:
-
For variables in the function address space:
-
The zero value of the store type, if the variable declaration did not specify an initializer.
-
Otherwise it is the result of evaluating the concretized initializer expression at that point in program execution.
-
-
For variables in the private address space:
-
The zero value of the store type, if the variable declaration did not specify an initializer.
-
Otherwise it is the result of evaluating the concretized initializer expression. The initializer must be an override-expression, and so its value is fixed no later than pipeline-creation time.
-
-
For variables in the workgroup address space:
-
When the store type is constructible, the zero value for the store type.
-
If the store type is an atomic type, the zero value is that of the underlying type (concrete integer scalar).
-
Otherwise, if the store type is not constructible, the zero value is determined by recursively applying these rules to each component of the composite until a constructible type is encountered.
-
Note: This commonly occurs when using an array with a pipeline-overridable element count or a composite that contains an atomic type.
-
-
Variables in other address spaces are resources set by bindings in the draw command or dispatch command.
Consider the following snippet of WGSL:
var i :i32 ; // Initial value is 0. Not recommended style. loop { var twice :i32 = 2 * i ; // Re-evaluated each iteration. i ++ ; if i == 5 { break ; } }
i
will take on values 0, 1, 2, 3, 4, 5, and variable twice
will take on values 0, 2, 4, 6, 8.
Consider the following snippet of WGSL:
Becausex
is a variable, all accesses to it turn into load and store operations.
However, it is expected that either the browser or the driver optimizes this intermediate representation
such that the redundant loads are eliminated.
var < private > decibels :f32 ; var < workgroup > worklist :array < i32 , 10 > ; struct Params { specular :f32 , count :i32 } // Uniform buffer. Always read-only, and has more restrictive layout rules. @ group ( 0 ) @ binding ( 2 ) var < uniform > param :Params ; // A uniform buffer // A storage buffer, for reading and writing @ group ( 0 ) @ binding ( 0 ) var < storage , read_write > pbuf :array < vec2 < f32 >> ; // Textures and samplers are always in "handle" space. @ group ( 0 ) @ binding ( 1 ) var filter_params :sampler ;
// Storage buffers @ group ( 0 ) @ binding ( 0 ) var < storage , read > buf1 :Buffer ; // Can read, cannot write. @ group ( 0 ) @ binding ( 0 ) var < storage > buf2 :Buffer ; // Can read, cannot write. @ group ( 0 ) @ binding ( 1 ) var < storage , read_write > buf3 :Buffer ; // Can both read and write. struct ParamsTable { weight :f32 } // Uniform buffer. Always read-only, and has more restrictive layout rules. @ group ( 0 ) @ binding ( 2 ) var < uniform > params :ParamsTable ; // Can read, cannot write.
fn f () { var < function > count :u32 ; // A variable in function address space. var delta :i32 ; // Another variable in the function address space. var sum :f32 = 0.0 ; // A function address space variable with initializer. var pi = 3.14159 ; // Infer the f32 store type from the initializer. }
6.4. Variable and Value Declaration Grammar Summary
| variable_decl '='
expression
| ident ( ':'
type_specifier ) ?
| '<'
address_space ( ','
access_mode ) ? '>'
| attribute * variable_decl ( '='
expression ) ?
| 'const'
optionally_typed_ident '='
expression
| attribute * 'override'
optionally_typed_ident ( '='
expression ) ?
7. Expressions
Expressions specify how values are computed.
The different kinds of value expressions provide a tradeoff between when they are evaluated and how expressive they can be. The sooner the evaluation, the more constrained the operations, but also the more places the value can be used. This tradeoff leads to different flexibility with each kind of value declaration. const-expressions and override-expressions are evaluated prior to execution on the GPU, so only the result of the computation of the expression is necessary in the final GPU code. Additionally, because const-expressions are evaluated at shader-creation time they can be used in more situations than override-expressions, for example, to size arrays in function scope variables. A runtime expression is an expression that is neither a const-expression nor an override-expression. A runtime expression is computed on the GPU during shader execution. While runtime expressions can be used by fewer grammar elements, they can be computed from a larger class of expressions, for example, other runtime values.
7.1. Early Evaluation Expressions
WGSL defines two types of expressions that can be evaluated before runtime:
7.1.1. const
Expressions
Expressions that can be evaluated at shader-creation time are called const-expressions. An expression is a const-expression if all its identifiers resolve to:
-
const-functions, or
-
type aliases, or
-
structure names.
The type of a const
expression must resolve to a type with a creation-fixed footprint.
Note: Abstract types can be the inferred type of a const-expression.
A const-expression E will be evaluated if and only if:
-
E is top-level expression, or
-
E is a subexpression of an expression OuterE, and OuterE will be evaluated, and evaluation of OuterE requires E to be evaluated.
Note: The evaluation rule implies that short-circuiting operators &&
and ||
guard evaluation of their right-hand
side subexpressions.
Example: (42)
is analyzed as follows:
-
The term
42
is the AbstractInt value 42. -
Surrounding that term with parentheses produces a new expression
(42)
that is of type AbstractInt with value 42.
Example: -5
is analyzed as follows:
-
The term
5
is the AbstractInt value 5. -
Preceding that term with '
-
' produces a new expression-5
that is of type AbstractInt with value -5.
Example: -2147483648
is analyzed as follows:
-
The term
2147483648
is the AbstractInt value 2147483648. Note that this value does not fit in a 32-bit signed integer. -
Preceding that term with '
-
' produces a new expression-2147483648
that is of type AbstractInt with value -2147483648.
Example: const minint = -2147483648;
is analyzed as follows:
-
As above,
-2147483648
evaluates to a AbstractInt value -2147483648. -
A const-declaration allows the initializer to be an abstract numeric type.
-
The result is that
minint
is declared to be the AbstractInt value -2147483648.
Example: let minint = -2147483648;
is analyzed as follows:
-
As above,
-2147483648
evaluates to a AbstractInt value -2147483648. -
A let-declaration requires the initializer to be a concrete constructible type or a pointer type.
-
The let-declaration does not have an explicit type, so overload resolution is used. The overload candidates that apply use feasible automatic conversions from AbstractInt to either i32, u32, or f32. The one of lowest rank is to i32, and so AbstractInt -2147483648 value is converted to the i32 value -2147483648.
-
The result is that
minint
is declared to be the i32 value -2147483648.
Example: false && (10i < i32(5 * 1000 * 1000 * 1000))
is analyzed as follows:
-
The entire expression is a const-expression.
-
However, the short-circuiting rules of the
&&
operator apply: the left-hand side evaluates tofalse
, and so the right-hand side is not evaluated. -
Evaluation of i32(5 * 1000 * 1000 * 1000) would have caused a shader-creation error because the AbstractInt value 5000000000 overflows the i32 type.
7.1.2. override
Expressions
Expressions that can be evaluated at pipeline creation time are called override-expressions. An expression is an override-expression if all its identifiers resolve to:
-
const-functions, or
-
type aliases, or
-
structure names.
Note: All const-expressions are also override-expressions.
An override-expression E will be evaluated if and only if:
-
E is top-level expression, or
-
E is a subexpression of an expression OuterE, and OuterE will be evaluated, and evaluation of OuterE requires E to be evaluated.
Note: An override-expression may not be usable as the initializer for an override-declaration, because such initializers must resolve to a concrete scalar type.
Example: override x = 42;
is analyzed as follows:
-
The term
42
is the AbstractInt value 42. -
An override-declaration requires a concrete scalar type.
-
42
is converted to i32 via a feasible automatic conversion.
Example: let y = x + 1;
is analyzed as follows:
-
From above,
x
has a type of i32. -
The expression
x + 1
is an override-expression because it is composed of an override-declaration and an integer literal. -
The expression has a type of i32 and is evaluated at pipeline creation time. Its value depends on whether or not
x
is overridden at pipeline creation time.
Example: vec3(x,x,x)
is analyzed as follows:
-
From above,
x
is an override-declaration with the type i32. -
vec3(x,x,x)
is an override-expression because the only identifiers resolve to override-declarations. -
The type of the expression is a vector of 3 components of i32 (
vec3<i32>
).
7.2. Indeterminate values
In limited cases, an evaluation of a runtime expression can occur using unsupported values for its subexpressions.
In such a case, the result of that evaluation is an indeterminate value of the expression’s static type, meaning some arbitrary implementation-chosen value of the static type.
A distinct value may be produced for each unique dynamic context in which the expression is evaluated. For example, if the evaluation occurs once per iteration of a loop, a distinct value may be computed for each loop iteration.
Note: If the type is a floating point type and the implementation supports NaN values, then the indeterminate value produced at runtime may be a NaN value.
fn fun () { var extracted_values :array < i32 , 2 > ; const v = vec2 < i32 > ( 0 , 1 ); for ( var i :i32 = 0 ; i < 2 ; i ++ ) { // A runtime-expression used to index a vector, but outside the // indexing bounds of the vector, produces an indeterminate value // of the vector component type. let extract = v [ i + 5 ]; // Now 'extract' is any value of type i32. // Save it for later. extracted_values [ i ] = extract ; if extract == extract { // This is always executed } if extract < 2 { // This might be executed, but might not be executed. // Even though the original vector components are 0 and 1, // the extracted value might not be either of those values. } } if extracted_value [ 0 ] == extracted_values [ 1 ] { // This might be executed, but might not be executed. } } fn float_fun ( runtime_index :u32 ) { const v = vec2 < f32 > ( 0 , 1 ); // A vector of floating point values // As in the previous example, 'float_extract' is an indeterminate value. // Since it is a floating point type, it may be a NaN. let float_extract :f32 = v [ runtime_index + 5 ]; if float_extract == float_extract { // This *might not* be executed, because: // - 'float_extract' may be NaN, and // - a NaN is never equal to any other floating point number, // even another NaN. } }
7.3. Literal Value Expressions
Precondition | Conclusion | Notes |
---|---|---|
true : bool
| true boolean value.
| |
false : bool
| false boolean value.
| |
e is an integer literal with no suffix | e: AbstractInt | Abstract integer literal value. |
e is a floating point literal with no suffix | e: AbstractFloat | Abstract float literal value. |
e is an integer literal with i suffix
| e: i32 | 32-bit signed integer literal value. |
e is an integer literal with u suffix
| e: u32 | 32-bit unsigned integer literal value. |
e is an floating point literal with f suffix
| e: f32 | 32-bit floating point literal value. |
e is an floating point literal with h suffix
| e: f16 | 16-bit floating point literal value. |
7.4. Parenthesized Expressions
Precondition | Conclusion | Description |
---|---|---|
e : T | ( e ) : T
| Evaluates to e. Use parentheses to isolate an expression from the surrounding text. |
7.5. Type Constructor Expressions
A type constructor expression explicitly creates a value of a given concrete constructible type.
There are three kinds of constructor expressions:
In the following sections, when a type name precedes a parenthesized argument list, any user-defined or predeclared alias for that type can be used instead, with the same effect.
type my_vec3f = vec3 < f32 > ; type my_vec4f = vec4 < f32 > ; // Computes vec3<f32>(0.0f, 1.0f, 0.0f) const threeD_e2 = my_vec3f ( 0.0 , 1.0 , 0.0 ); // Same as writing vec4<f32>(threeD_e2, 0.0) // Computes vec4<f32>(0.0f, 1.0f, 0.0f, 0.0f) const fourD_e2 = my_vec4f ( threeD_e2 , 0.0 ); // Same as writing vec3<f32>() // Computes vec3<f32>(0.0f, 0.0f, 0.0f) const threeD_zero = my_vec3f (); // Use the fully-elaborated name for a 4-element vector of f32. const fourD_ones_first = vec4 < f32 > ( 1.0 f ); // Use vec4f, the predeclared alias to vec4<f32>. const fourD_ones_second = vec4f ( 1.0 f );
7.5.1. Construction From Components
The expressions defined in this section create a constructible value by:
-
Copying an existing value of the same type (i.e. the identity function), or
-
Creating a composite value from an explicit list of components.
The scalar forms given here are redundant, but provide symmetry with scalar conversion expressions, and can be used to enhance readability.
The vector and matrix forms construct vector and matrix values from various combinations of components and subvectors with matching component types. There are overloads for constructing vectors and matrices that specify the dimensions of the target type without having to specify the component type; the component type is inferred from the constructor arguments.
Precondition | Conclusion | Notes |
---|---|---|
e: bool | bool(e) : bool
| Identity. |
e: i32 | i32(e) : i32
| Identity. |
e: u32 | u32(e) : u32
| Identity. |
e: f32 | f32(e) : f32
| Identity. |
e: f16 | f16(e) : f16
| Identity. |
Precondition | Conclusion | Notes |
---|---|---|
e: T | vec N< T>( e) : vecN<T>
| Evaluates e once. Results in the N-component vector where each component has the value of e. |
vec N( e) : vecN<T>
| ||
e1: T e2: T | vec2<T>(e1,e2) : vec2<T>
| |
vec2(e1,e2) : vec2<T>
| ||
e: vec2<T> | vec2<T>(e) : vec2<T>
| Identity. The result is e. |
vec2(e) : vec2<T>
| ||
e1: T e2: T e3: T | vec3<T>(e1,e2,e3) : vec3<T>
| |
vec3(e1,e2,e3) : vec3<T>
| ||
e1: T e2: vec2<T> | vec3<T>(e1,e2) : vec3<T>vec3<T>(e2,e1) : vec3<T>
| |
vec3(e1,e2) : vec3<T>vec3(e2,e1) : vec3<T>
| ||
e: vec3<T> | vec3<T>(e) : vec3<T>
| Identity. The result is e. |
vec3(e) : vec3<T>
| ||
e1: T e2: T e3: T e4: T | vec4<T>(e1,e2,e3,e4) : vec4<T>
| |
vec4(e1,e2,e3,e4) : vec4<T>
| ||
e1: T e2: T e3: vec2<T> | vec4<T>(e1,e2,e3) : vec4<T>vec4<T>(e1,e3,e2) : vec4<T>vec4<T>(e3,e1,e2) : vec4<T>
| |
vec4(e1,e2,e3) : vec4<T>vec4(e1,e3,e2) : vec4<T>vec4(e3,e1,e2) : vec4<T>
| ||
e1: vec2<T> e2: vec2<T> | vec4<T>(e1,e2) : vec4<T>
| |
vec4(e1,e2) : vec4<T>
| ||
e1: T e2: vec3<T> | vec4<T>(e1,e2) : vec4<T>vec4<T>(e2,e1) : vec4<T>
| |
vec4(e1,e2) : vec4<T>vec4(e2,e1) : vec4<T>
| ||
e: vec4<T> | vec4<T>(e) : vec4<T>
| Identity. The result is e. |
vec4(e) : vec4<T>
|
Precondition | Conclusion | Notes |
---|---|---|
e: mat2x2<T> | mat2x2< T>( e) : mat2x2<T>mat2x2( e) : mat2x2<T> | Identity type conversion. The result is e. |
e: mat2x3<T> | mat2x3< T>( e) : mat2x3<T>mat2x3( e) : mat2x3<T>
| |
e: mat2x4<T> | mat2x4< T>( e) : mat2x4<T>mat2x4( e) : mat2x4<T>
| |
e: mat3x2<T> | mat3x2< T>( e) : mat3x2<T>mat3x2( e) : mat3x2<T>
| |
e: mat3x3<T> | mat3x3< T>( e) : mat3x3<T>mat3x3( e) : mat3x3<T>
| |
e: mat3x4<T> | mat3x4< T>( e) : mat3x4<T>mat3x4( e) : mat3x4<T>
| |
e: mat4x2<T> | mat4x2< T>( e) : mat4x2<T>mat4x2( e) : mat4x2<T>
| |
e: mat4x3<T> | mat4x3< T>( e) : mat4x3<T>mat4x3( e) : mat4x3<T>
| |
e: mat4x4<T> | mat4x4< T>( e) : mat4x4<T>mat4x4( e) : mat4x4<T>
| |
e1: T ... eN: T | mat2x2<T>(e1,e2,e3,e4) : mat2x2<T>mat3x2<T>(e1,...,e6) : mat3x2<T>mat2x3<T>(e1,...,e6) : mat2x3<T>mat4x2<T>(e1,...,e8) : mat4x2<T>mat2x4<T>(e1,...,e8) : mat2x4<T>mat3x3<T>(e1,...,e9) : mat3x3<T>mat4x3<T>(e1,...,e12) : mat4x3<T>mat3x4<T>(e1,...,e12) : mat3x4<T>mat4x4<T>(e1,...,e16) : mat4x4<T>
| Column-major construction by elements. |
mat2x2(e1,e2,e3,e4) : mat2x2<T>mat3x2(e1,...,e6) : mat3x2<T>mat2x3(e1,...,e6) : mat2x3<T>mat4x2(e1,...,e8) : mat4x2<T>mat2x4(e1,...,e8) : mat2x4<T>mat3x3(e1,...,e9) : mat3x3<T>mat4x3(e1,...,e12) : mat4x3<T>mat3x4(e1,...,e12) : mat3x4<T>mat4x4(e1,...,e16) : mat4x4<T>
| ||
e1: vec2<T> e2: vec2<T> e3: vec2<T> e4: vec2<T> | mat2x2<T>(e1,e2) : mat2x2<T>mat3x2<T>(e1,e2,e3) : mat3x2<T>mat4x2<T>(e1,e2,e3,e4) : mat4x2<T>
| Column by column construction. |
mat2x2(e1,e2) : mat2x2<T>mat3x2(e1,e2,e3) : mat3x2<T>mat4x2(e1,e2,e3,e4) : mat4x2<T>
| ||
e1: vec3<T> e2: vec3<T> e3: vec3<T> e4: vec3<T> | mat2x3<T>(e1,e2) : mat2x3<T>mat3x3<T>(e1,e2,e3) : mat3x3<T>mat4x3<T>(e1,e2,e3,e4) : mat4x3<T>
| Column by column construction. |
mat2x3(e1,e2) : mat2x3<T>mat3x3(e1,e2,e3) : mat3x3<T>mat4x3(e1,e2,e3,e4) : mat4x3<T>
| ||
e1: vec4<T> e2: vec4<T> e3: vec4<T> e4: vec4<T> | mat2x4<T>(e1,e2) : mat2x4<T>mat3x4<T>(e1,e2,e3) : mat3x4<T>mat4x4<T>(e1,e2,e3,e4) : mat4x4<T>
| Column by column construction. |
mat2x4(e1,e2) : mat2x4<T>mat3x4(e1,e2,e3) : mat3x4<T>mat4x4(e1,e2,e3,e4) : mat4x4<T>
|
Precondition | Conclusion | Notes |
---|---|---|
e1: T ... eN: T, T is concrete and constructible | array< T,N>( e1,...,eN) : array<T,N>
|
Construction of an array from elements.
Note: array<T,N> is constructible because its element count is equal to the number of arguments to the constructor, and hence fully determined at shader-creation time. |
e1: T ... eN: T, T is constructible | array( e1,...,eN) : array<T,N>
| Construction of an array from elements. The component type is inferred from the elements' types. |
Precondition | Conclusion | Notes |
---|---|---|
e1: T1 ... eN: TN, S is a constructible structure type with members having types T1 ... TN. The expression is in the scope of declaration of S. | S( e1,...,eN) : S
| Construction of a structure from members. |
7.5.2. Zero Value Expressions
Each concrete, constructible T has a unique zero value written in WGSL as the type followed by an empty pair of parentheses: T ()
.
The zero values are as follows:
-
bool()
isfalse
-
i32()
is 0 -
u32()
is 0 -
f32()
is 0.0 -
f16()
is 0.0 -
The zero value for an N-component vector of type T is the N-component vector of the zero value for T.
-
The zero value for an C-column R-row matrix of type T is the matrix of those dimensions filled with the zero value for T.
-
The zero value for a constructible N-element array with element type E is an array of N elements of the zero value for E.
-
The zero value for a constructible structure type S is the structure value S with zero-valued members.
Note: WGSL does not have zero expression for atomic types, runtime-sized arrays, or other types that are not constructible.
Precondition | Conclusion | Notes |
---|---|---|
bool() : bool
| false Zero value | |
i32() : i32
| 0 Zero value | |
u32() : u32
| 0u Zero value | |
f32() : f32
| 0.0 Zero value | |
f16() : f16
| 0.0 Zero value |
Precondition | Conclusion | Notes |
---|---|---|
vec2<T>() : vec2<T>
| Zero value | |
vec3<T>() : vec3<T>
| Zero value | |
vec4<T>() : vec4<T>
| Zero value |
vec2 < f32 > () // The zero-valued vector of two f32 components. vec2 < f32 > ( 0.0 , 0.0 ) // The same value, written explicitly. vec3 < i32 > () // The zero-valued vector of three i32 components. vec3 < i32 > ( 0 , 0 , 0 ) // The same value, written explicitly.
Precondition | Conclusion | Notes |
---|---|---|
T is f32 or f16 | mat2x2<T>() : mat2x2<T>mat3x2<T>() : mat3x2<T>mat4x2<T>() : mat4x2<T>
| Zero value |
mat2x3<T>() : mat2x3<T>mat3x3<T>() : mat3x3<T>mat4x3<T>() : mat4x3<T>
| Zero value | |
mat2x4<T>() : mat2x4<T>mat3x4<T>() : mat3x4<T>mat4x4<T>() : mat4x4<T>
| Zero value |
Precondition | Conclusion | Notes |
---|---|---|
T is a constructible | array< T,N>() : array<T,N>
| Zero-valued array |
array < bool , 2 > () // The zero-valued array of two booleans. array < bool , 2 > ( false , false ) // The same value, written explicitly.
Precondition | Conclusion | Notes |
---|---|---|
S is a constructible structure type. The expression is in the scope of declaration of S. | S() : S
| Zero-valued structure: a structure of type S where each member is the zero value for its member type. |
struct Student { grade :i32 , GPA :f32 , attendance :array < bool , 4 > } fn func () { var s :Student ; // The zero value for Student s = Student (); // The same value, written explicitly. s = Student ( 0 , 0.0 , array < bool , 4 > ( false , false , false , false )); // The same value, written with zero-valued members. s = Student ( i32 (), f32 (), array < bool , 4 > ()); }
7.5.3. Conversion Expressions
WGSL does not implicitly convert or promote a numeric or boolean value to another type. Instead use a conversion expression as defined in the tables below.
For details on conversion to and from floating point types, see § 13.6.2 Floating Point Conversion.
Precondition | Conclusion | Notes |
---|---|---|
e: u32 | bool( e) : bool
| Coercion to boolean. The result is false if e is 0, and true otherwise. |
e: i32 | bool( e) : bool
| Coercion to boolean. The result is false if e is 0, and true otherwise. |
e: f32 | bool( e) : bool
| Coercion to boolean. The result is false if e is 0.0 or -0.0, and true otherwise. In particular NaN and infinity values map to true. |
e: f16 | bool( e) : bool
| Coercion to boolean. The result is false if e is 0.0 or -0.0, and true otherwise. In particular NaN and infinity values map to true. |
e: bool | i32( e) : i32
| Conversion of a boolean value to a signed integer The result is 1 if e is true and 0 otherwise. |
e: u32 | i32( e) : i32
| Reinterpretation of bits. The result is the unique value in i32 that has the same bit pattern as e. |
e: f32 | i32( e) : i32
| Value conversion, rounding toward zero. |
e: f16 | i32( e) : i32
| Value conversion, rounding toward zero. |
e: bool | u32( e) : u32
| Conversion of a boolean value to an unsigned integer. The result is 1u if e is true and 0u otherwise. |
e: i32 | u32( e) : u32
| Reinterpretation of bits. The result is the unique value in u32 that has the same bit pattern as e. |
e: AbstractInt | u32( e) : u32
|
Value conversion.
Identity if the value of e can be represented in u32. Otherwise produces a shader-creation error. Note: This overload exists so expressions such as |
e: f32 | u32( e) : u32
| Value conversion, rounding toward zero. |
e: f16 | u32( e) : u32
| Value conversion, rounding toward zero. |
e: bool | f32( e) : f32
| Conversion of a boolean value to floating point. The result is 1.0 if e is true and 0.0 otherwise. |
e: i32 | f32( e) : f32
| Value conversion, including invalid cases. |
e: u32 | f32( e) : f32
| Value conversion, including invalid cases. |
e: f16 | f32( e) : f32
| Exact value conversion. |
e: bool | f16( e) : f16
| Conversion of a boolean value to floating point The result is 1.0 if e is true and 0.0 otherwise. |
e: i32 | f16( e) : f16
| Value conversion, including invalid cases. |
e: u32 | f16( e) : f16
| Value conversion, including invalid cases. |
e: f32 | f16( e) : f16
| Lossy value conversion. |
Details of conversion to and from floating point are explained in § 13.6.2 Floating Point Conversion.
Precondition | Conclusion | Notes |
---|---|---|
e: vecN<u32> | vec N<bool >( e) : vecN<bool>
| Component-wise coercion of a unsigned integer vector to a boolean vector. |
e: vecN<i32> | vec N<bool >( e) : vecN<bool>
| Component-wise coercion of a signed integer vector to a boolean vector. |
e: vecN<f32> | vec N<bool >( e) : vecN<bool>
| Component-wise coercion of a binary32 floating point vector to a boolean vector. |
e: vecN<f16> | vec N<bool >( e) : vecN<bool>
| Component-wise coercion of a binary16 floating point vector to a boolean vector. |
e: vecN<bool> | vec N<i32 >( e) : vecN<i32>
| Component-wise conversion of a boolean vector to signed. Component i of the result is i32( e[ i])
|
e: vecN<u32> | vec N<i32 >( e) : vecN<i32>
| Component-wise reinterpretation of bits. Component i of the result is i32( e[ i])
|
e: vecN<f32> | vec N<i32 >( e) : vecN<i32>
| Component-wise value conversion to signed integer, including invalid cases. |
e: vecN<f16> | vec N<i32 >( e) : vecN<i32>
| Component-wise value conversion to signed integer, including invalid cases. |
e: vecN<bool> | vec N<u32 >( e) : vecN<u32>
| Component-wise conversion of a boolean vector to unsigned. Component i of the result is u32( e[ i])
|
e: vecN<AbstractInt> or vecN<i32> | vec N<u32 >( e) : vecN<u32>
| Component-wise reinterpretation of bits. |
e: vecN<f32> | vec N<u32 >( e) : vecN<u32>
| Component-wise value conversion to unsigned integer, including invalid cases. |
e: vecN<f16> | vec N<u32 >( e) : vecN<u32>
| Component-wise value conversion to unsigned integer, including invalid cases. |
e: vecN<bool> | vec N<f32 >( e) : vecN<f32>
| Component-wise conversion of a boolean vector to floating point. Component i of the result is f32( e[ i])
|
e: vecN<i32> | vec N<f32 >( e) : vecN<f32>
| Component-wise value conversion to binary32 floating point, including invalid cases. |
e: vecN<u32> | vec N<f32 >( e) : vecN<f32>
| Component-wise value conversion to binary32 floating point, including invalid cases. |
e: vecN<f16> | vec N<f32 >( e) : vecN<f32>
| Component-wise exact value conversion to binary32 floating point. |
e: vecN<bool> | vec N<f16 >( e) : vecN<f16>
| Component-wise conversion of a boolean vector to binary16 floating point. Component i of the result is f16( e[ i])
|
e: vecN<i32> | vec N<f16 >( e) : vecN<f16>
| Component-wise value conversion to binary16 floating point, including invalid cases. |
e: vecN<u32> | vec N<f16 >( e) : vecN<f>
| Component-wise value conversion to binary16 floating point, including invalid cases. |
e: vecN<f32> | vec N<f16 >( e) : vecN<f16>
| Component-wise lossy value conversion to binary16 floating point. |
Precondition | Conclusion | Notes |
---|---|---|
e: matCxR<f16> | mat Cx R<f32 >( e) : matCxR<f32>
| Component-wise exact value conversion to binary32 floating point. |
e: matCxR<f32> | mat Cx R<f16 >( e) : matCxR<f16>
| Component-wise lossy value conversion to binary16 floating point. |
7.6. Reinterpretation of Representation Expressions
A bitcast
expression is used to reinterpet the bit representation of a
value in one type as a value in another type.
Precondition | Conclusion | Notes |
---|---|---|
e: T T is a concrete numeric scalar or concrete numeric vector type | bitcast<T>(e): T | Identity transform. Component-wise when T is a vector. The result is e. |
e: T1 T1 is i32, u32, or f32 T2 is not T1 and is i32, u32, or f32 | bitcast<T2>(e): T2 | Reinterpretation of bits as T2. The result is the reinterpretation of the bits in e as a T2 value. |
e: vecN<T1> T1 is i32, u32, or f32 T2 is not T1 and is i32, u32, or f32 | bitcast<vecN<T2>>(e): vecN<T2> | Component-wise reinterpretation of bits as T2. The result is the reinterpretation of the bits in e as a vecN<T2> value. |
e: vec2<f16> T is i32, u32, or f32 | bitcast<T>(e): T | Reinterpretation of bits as T. The result is the reinterpretation of the 32 bits in e as a T value, following the internal layout rules. |
e: T T is i32, u32, or f32 | bitcast<vec2<f16>>(e): vec2<f16> | Reinterpretation of bits as vec2<f16>. The result is the reinterpretation of the 32 bits in e as a vec2<f16> value, following the internal layout rules. |
e: vec4<f16> T is i32, u32, or f32 | bitcast<vec2<T>>(e): vec2<T> | Reinterpretation of bits as vec2<T>. The result is the reinterpretation of the 64 bits in e as a vec2<T> value, following the internal layout rules. |
e: vec2<T> T is i32, u32, or f32 | bitcast<vec4<f16>>(e): vec4<f16> | Reinterpretation of bits as vec4<f16>. The result is the reinterpretation of the 64 bits in e as a vec4<f16> value, following the internal layout rules. |
The internal layout rules are described in § 5.3.6.4 Internal Layout of Values.
7.7. Composite Value Decomposition Expressions
7.7.1. Vector Access Expression
Accessing components of a vector can be done either:
-
Using array subscripting (e.g.
v[2]
), or -
Using a swizzle name, a context-dependent name written as a sequence of convenience names, each mapping to a component of the source vector.
-
The color set of convenience names:
r
,g
,b
,a
for vector components 0, 1, 2, and 3 respectively. -
The dimensional set of convenience names:
x
,y
,z
,w
for vector components 0, 1, 2, and 3, respectively.
-
The convenience names are accessed using the .
notation. (e.g. color.bgra
).
The convenience letterings must not be mixed. For example, you can not use .rybw
.
A convenience letter must not access a component past the end of the vector.
The convenience letterings can be applied in any order, including duplicating letters as needed. The provided number of letters must be between 1 and 4. That is, using convenience letters can only produce a valid vector type.
The result type depends on the number of letters provided. Assuming a vec4<f32>
Accessor | Result type |
---|---|
r | f32
|
rg | vec2<f32>
|
rgb | vec3<f32>
|
rgba | vec4<f32>
|
var a :vec3 < f32 > = vec3 < f32 > ( 1. , 2. , 3. ); var b :f32 = a . y ; // b = 2.0 var c :vec2 < f32 > = a . bb ; // c = (3.0, 3.0) var d :vec3 < f32 > = a . zyx ; // d = (3.0, 2.0, 1.0) var e :f32 = a [ 1 ]; // e = 2.0
7.7.1.1. Vector Single Component Selection
Precondition | Conclusion | Description |
---|---|---|
e: vecN<T> | e.x : Te .r : T
| Select the first component of e |
e: vecN<T> | e.y : Te .g : T
| Select the second component of e |
e: vecN<T> N is 3 or 4 | e.z : Te .b : T
| Select the third component of e |
e: vec4<T> | e.w : Te .a : T
| Select the fourth component of e |
e: vecN<T> i: i32 or u32 T is concrete | e[i]: T |
Select the i’th component of vector The first component is at index i=0. If i is outside the range [0,N-1]:
|
e: vecN<T> i: i32 or u32 T is abstract i is a const-expression | e[i]: T |
Select the i’th component of vector The first component is at index i=0. It is a shader-creation error if i is outside the range [0,N-1]. Note: When an abstract vector value e is indexed by an expression that is not a const-expression, then the vector is concretized before the index is applied. |
7.7.1.2. Vector Multiple Component Selection
Precondition | Conclusion | Description |
---|---|---|
e: vecN<T> I is the letter x , y , z , or w J is the letter x , y , z , or w | e. IJ: vec2<T> | Computes the two-component vector with first component e.I, and second component e.J. Letter z is valid only when N is 3 or 4.Letter w is valid only when N is 4.
|
e: vecN<T> I is the letter r , g , b , or a J is the letter r , g , b , or a | e. IJ: vec2<T> | Computes the two-component vector with first component e.I, and second component e.J. Letter b is valid only when N is 3 or 4.Letter a is valid only when N is 4.
|
e: vecN<T> I is the letter x , y , z , or w J is the letter x , y , z , or w K is the letter x , y , z , or w | e. IJK: vec3<T> | Computes the three-component vector with first component e.I, second component e.J, and third component e.K. Letter z is valid only when N is 3 or 4.Letter w is valid only when N is 4.
|
e: vecN<T> I is the letter r , g , b , or a J is the letter r , g , b , or a K is the letter r , g , b , or a | e. IJK: vec3<T> | Computes the three-component vector with first component e.I, second component e.J, and third component e.K. Letter b is only valid when N is 3 or 4.Letter a is only valid when N is 4.
|
e: vecN<T> I is the letter x , y , z , or w J is the letter x , y , z , or w K is the letter x , y , z , or w L is the letter x , y , z , or w | e. IJKL: vec4<T> | Computes the four-component vector with first component e.I, second component e.J, third component e.K, and fourth component e.L. Letter z is valid only when N is 3 or 4.Letter w is valid only when N is 4.
|
e: vecN<T> I is the letter r , g , b , or a J is the letter r , g , b , or a K is the letter r , g , b , or a L is the letter r , g , b , or a | e. IJKL: vec4<T> | Computes the four-component vector with first component e.I, second component e.J, third component e.K, and fourth component e.L. Letter b is only valid when N is 3 or 4.Letter a is only valid when N is 4.
|
7.7.1.3. Component Reference from Vector Reference
A write access to component of a vector may access all of the memory locations associated with that vector.
Note: This means accesses to different components of a vector by different invocations must be synchronized if at least one access is a write access. See § 17.9 Synchronization Built-in Functions.
Precondition | Conclusion | Description |
---|---|---|
r: ref<AS,vecN<T>,AM> | r.x : ref<AS,T,AM>r .r : ref<AS,T,AM> | Compute a reference to the first component of the vector referenced by the reference r. The originating variable of the resulting reference is the same as the originating variable of r. |
r: ref<AS,vecN<T>,AM> | r.y : ref<AS,T,AM>r .g : ref<AS,T,AM> | Compute a reference to the second component of the vector referenced by the reference r. The originating variable of the resulting reference is the same as the originating variable of r. |
r: ref<AS,vecN<T>,AM> N is 3 or 4 | r.z : ref<AS,T,AM>r .b : ref<AS,T,AM> | Compute a reference to the third component of the vector referenced by the reference r. The originating variable of the resulting reference is the same as the originating variable of r. |
r: ref<AS,vec4<T>,AM> | r.w : ref<AS,T,AM>r .a : ref<AS,T,AM> | Compute a reference to the fourth component of the vector referenced by the reference r. The originating variable of the resulting reference is the same as the originating variable of r. |
r: ref<AS,vecN<T>,AM> i: i32 or u32 | r[i] : ref<AS,T,AM> |
Compute a reference to the i’th component of the vector
referenced by the reference r.
If i is outside the range [0,N-1]:
The originating variable of the resulting reference is the same as the originating variable of r. |
7.7.2. Matrix Access Expression
Precondition | Conclusion | Description |
---|---|---|
e: matCxR<T> i: i32 or u32 T is concrete | e[i]: vecR<T> |
The result is the i’th column vector of e.
If i is outside the range [0,C-1]:
|
e: matCxR<T> i: i32 or u32 T is abstract i is a const-expression | e[i]: vecR<T> |
The result is the i’th column vector of e.
It is a shader-creation error if i is outside the range [0,C-1]. Note: When an abstract matrix value e is indexed by an expression that is not a const-expression, then the matrix is concretized before the index is applied. |
Precondition | Conclusion | Description |
---|---|---|
r: ref<AS,matCxR<T>,AM> i: i32 or u32 | r[i] : ref<AS,vecR<T>,AM> |
Compute a reference to the i’th column vector of the
matrix referenced by the reference r.
If i is outside the range [0,C-1]:
The originating variable of the resulting reference is the same as the originating variable of r. |
7.7.3. Array Access Expression
Precondition | Conclusion | Description |
---|---|---|
e: array<T,N> i: i32 or u32 T is concrete | e[i] : T |
The result is the value of the i’th element of the array value e.
If i is outside the range [0,N-1]:
|
Precondition | Conclusion | Description |
---|---|---|
r: ref<AS,array<T,N>,AM> i: i32 or u32 | r[i] : ref<AS,T,AM> |
Compute a reference to the i’th element of the array
referenced by the reference r.
If i is outside the range [0,N-1]:
The originating variable of the resulting reference is the same as the originating variable of r. |
r: ref<AS,array<T>,AM> i: i32 or u32 | r[i] : ref<AS,T,AM> |
Compute a reference to the i’th element of the
runtime-sized array referenced by the reference r.
If at runtime the array has N elements, and i is outside the range [0,N-1], then the expression evaluates to an invalid memory reference. If i is a signed integer, and i is less than 0:
The originating variable of the resulting reference is the same as the originating variable of r. |
7.7.4. Structure Access Expression
Precondition | Conclusion | Description |
---|---|---|
S is a structure type M is the identifier name of a member of S, having type T e: S | e.M: T | The result is the value of the member with name M from the structure value e. |
Precondition | Conclusion | Description |
---|---|---|
S is a structure type M is the identifier name of a member of S, having type T r: ref<AS,S,AM> | r.M: ref<AS,T,AM> | Given a reference to a structure, the result is a reference to the structure member with identifier name M. The originating variable of the resulting reference is the same as the originating variable of r. |
7.8. Logical Expressions
Precondition | Conclusion | Notes |
---|---|---|
e: T T is bool or vecN<bool> | ! e: T
| Logical negation.
The result is true when e is false and false when e is true . Component-wise when T is a vector.
|
Precondition | Conclusion | Notes |
---|---|---|
e1: bool e2: bool | e1 || e2: bool
| Short-circuiting "or". Yields true if either e1 or e2 are true;
evaluates e2 only if e1 is false.
|
e1: bool e2: bool | e1 && e2: bool
| Short-circuiting "and". Yields true if both e1 and e2 are true;
evaluates e2 only if e1 is true.
|
e1: T e2: T T is bool or vecN<bool> | e1 | e2: T
| Logical "or". Component-wise when T is a vector. Evaluates both e1 and e2. |
e1: T e2: T T is bool or vecN<bool> | e1 & e2: T
| Logical "and". Component-wise when T is a vector. Evaluates both e1 and e2. |
7.9. Arithmetic Expressions
Precondition | Conclusion | Notes |
---|---|---|
e: T T is AbstractInt, AbstractFloat, i32, f32, f16, vecN<AbstractInt>, vecN<AbstractFloat>, vecN<i32>, vecN<f32>, or vecN<f16> | - e: T
| Negation. Component-wise when T is a vector. If T is an integer scalar type and e evaluates to the largest negative value, then the result is e. |
Precondition | Conclusion | Notes |
---|---|---|
e1 : T e2 : T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> | e1 + e2 : T
| Addition. Component-wise when T is a vector. If T is a concrete integer scalar type, then the result is modulo 232. |
e1 : T e2 : T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> | e1 - e2 : T
| Subtraction Component-wise when T is a vector. If T is a concrete integer scalar type, then the result is modulo 232. |
e1 : T e2 : T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> | e1 * e2 : T
| Multiplication. Component-wise when T is a vector. If T is a concrete integer scalar type, then the result is modulo 232. |
e1 : T e2 : T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> | e1 / e2 : T
|
Division. Component-wise when T is a vector.
If T is a signed integer scalar type, evaluates to:
Note: The need to ensure truncation behavior may require an implementation to perform more operations than when computing an unsigned division. Use unsigned division when both operands are known to have the same sign. If T is an unsigned integer scalar type, evaluates to:
|
e1 : T e2 : T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> | e1 % e2 : T
|
Remainder. Component-wise when T is a vector.
If T is a signed integer scalar type, evaluates e1 and e2 once, and evaluates to:
Note: When non-zero, the result has the same sign as e1. Note: The need to ensure consistent behavior may require an implementation to perform more operations than when computing an unsigned remainder. If T is an unsigned integer scalar type, evaluates to:
If T is a floating point type, the result is equal to: |
Preconditions | Conclusions | Semantics |
---|---|---|
S is one of AbstractInt, AbstractFloat, f32, f16, i32, u32 V is vecN<S> es: S ev: V | ev + es: V
| ev + V(es)
|
es + ev: V
| V(es) + ev
| |
ev - es: V
| ev - V(es)
| |
es - ev: V
| V(es) - ev
| |
ev * es: V
| ev * V(es)
| |
es * ev: V
| V(es) * ev
| |
ev / es: V
| ev / V(es)
| |
es / ev: V
| V(es) / ev
| |
ev % es: V
| ev % V(es)
| |
es % ev: V
| V(es) % ev
|
Preconditions | Conclusions | Semantics |
---|---|---|
e1, e2: matCxR<T> T is AbstractFloat, f32, or f16 | e1 + e2: matCxR<T> | Matrix addition: column i of the result is e1[i] + e2[i] |
e1 - e2: matCxR<T>
| Matrix subtraction: column i of the result is e1[i] - e2[i] | |
m: matCxR<T> s: T T is AbstractFloat, f32, or f16 | m * s: matCxR<T> | Component-wise scaling: (m * s)[i][j] is m[i][j] * s
|
s * m: matCxR<T> | Component-wise scaling: (s * m)[i][j] is m[i][j] * s
| |
m: matCxR<T> v: vecC<T> T is AbstractFloat, f32, or f16 | m * v: vecR<T> | Linear algebra matrix-column-vector product:
Component i of the result is dot (transpose(m)[i],v)
|
m: matCxR<T> v: vecR<T> T is AbstractFloat, f32, or f16 | v * m: vecC<T> | Linear algebra row-vector-matrix product: transpose(transpose(m) * transpose(v))
|
e1: matKxR<T> e2: matCxK<T> T is AbstractFloat, f32, or f16 | e1 * e2: matCxR<T> | Linear algebra matrix product. |
7.10. Comparison Expressions
Precondition | Conclusion | Notes |
---|---|---|
e1: T e2: T S is AbstractInt, AbstractFloat, bool, i32, u32, f32, or f16 T is S or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 == e2: TB
| Equality. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, AbstractFloat, bool, i32, u32, f32, or f16 T is S or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 != e2: TB
| Inequality. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 < e2: TB
| Less than. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 <= e2: TB
| Less than or equal. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 > e2: TB
| Greater than. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> TB is vecN<bool> if T is a vector, otherwise TB is bool | e1 >= e2: TB
| Greater than or equal. Component-wise when T is a vector. |
7.11. Bit Expressions
Precondition | Conclusion | Notes |
---|---|---|
e: T S is AbstractInt, i32, or u32 T is S or vecN<S> | ~ e : T
| Bitwise complement on e. Each bit in the result is the opposite of the corresponding bit in e. Component-wise when T is a vector. |
Precondition | Conclusion | Notes |
---|---|---|
e1: T e2: T S is AbstractInt, i32, or u32 T is S or vecN<S> | e1 | e2: T
| Bitwise-or. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, i32, or u32 T is S or vecN<S> | e1 & e2: T
| Bitwise-and. Component-wise when T is a vector. |
e1: T e2: T S is AbstractInt, i32, or u32 T is S or vecN<S> | e1 ^ e2: T
| Bitwise-exclusive-or. Component-wise when T is a vector. |
Precondition | Conclusion | Notes |
---|---|---|
e1: T e2: TS S is i32 or u32 T is S or vecN<S> TS is u32 when T is S, otherwise TS is vecN<u32> | e1 << e2: T
|
Shift left (shifted value is concrete):
Shift e1 left, inserting zero bits at the least significant positions, and discarding the most significant bits. The number of bits to shift is the value of e2, modulo the bit width of e1.
When both e1 and e2 are known before shader execution start, the result must not overflow:
Component-wise when T is a vector. |
e1: T e2: TS T is AbstractInt or vecN<AbstractInt> TS is u32 when T is AbstractInt, otherwise TS is vecN<u32> | e1 << e2: T
|
Shift left (shifted value abstract):
Shift e1 left, inserting zero bits at the least significant positions, and discarding the most significant bits. The number of bits to shift is the value of e2. The e2+1 most significant bits of e1 must have the same bit value. Otherwise overflow would occur. Note: This condition means all the discarded bits must be the same as the sign bit of the original value, and the same as the sign bit of the final value. Component-wise when T is a vector. |
e1: T e2: TS S is i32 or u32 T is S or vecN<S> TS is u32 when T is S, otherwise TS is vecN<u32> | e1 >> e2: T |
Shift right (shifted value is concrete).
Shift e1 right, discarding the least significant bits. If S is an unsigned type, insert zero bits at the most significant positions. If S is a signed type:
The number of bits to shift is the value of e2, modulo the bit width of e1. If e2 is greater than or equal to the bit width or e1, then:
Component-wise when T is a vector. |
e1: T e2: TS T is AbstractInt or vecN<AbstractInt> TS is u32 when T is AbstractInt, otherwise TS is vecN<u32> | e1 >> e2: T |
Shift right (abstract).
Shift e1 right, discarding the least significant bits. If e1 is negative, each inserted bit is 1, and so the result is also negative. Otherwise, each inserted bit is 0. The number of bits to shift is the value of e2. Component-wise when T is a vector. |
7.12. Function Call Expression
A function call expression executes a function call where the called function has a return type. If the called function does not return a value, a function call statement should be used instead. See § 8.5 Function Call Statement.
7.13. Variable Identifier Expression
Precondition | Conclusion | Description |
---|---|---|
v is an identifier resolving to an in-scope variable declared in address space AS with store type T and access mode AM | v: ref<AS,T,AM> | Result is a reference to the memory for the named variable v. |
7.14. Formal Parameter Expression
Precondition | Conclusion | Description |
---|---|---|
a is an identifier resolving to an in-scope formal parameter declaration with type T | a: T | Result is the value supplied for the corresponding function call operand at the call site invoking this instance of the function. |
7.15. Address-Of Expression
The address-of operator converts a reference to its corresponding pointer.
Precondition | Conclusion | Description |
---|---|---|
r: ref<AS,T,AM> | & r: ptr<AS,T,AM>
|
Result is the pointer value corresponding to the
same memory view as the reference value r.
If r is an invalid memory reference, then the resulting pointer is also an invalid memory reference. It is a shader-creation error if AS is the handle address space. It is a shader-creation error if r is a reference to a vector component. |
7.16. Indirection Expression
The indirection operator converts a pointer to its corresponding reference.
Precondition | Conclusion | Description |
---|---|---|
p: ptr<AS,T,AM> | * p: ref<AS,T,AM>
|
Result is the reference value corresponding to the
same memory view as the pointer value p.
If p is an invalid memory reference, then the resulting reference is also an invalid memory reference. |
7.17. Identifier Expressions for Value Declarations
Precondition | Conclusion | Description |
---|---|---|
c is an identifier resolving to an in-scope const-declaration with type T | c: T | Result is the value computed for the initializer expression. The expression is a const-expression, and is evaluated at shader-creation time. |
c is an identifier resolving to an in-scope override-declaration with type T | c: T |
If pipeline creation specified a value for the constant ID,
then the result is that value.
This value may be different for different pipeline instances.
Otherwise, the result is the value computed for the initializer expression. Pipeline-overridable constants appear at module-scope, so evaluation occurs before the shader begins execution. Note: Pipeline creation fails if no initial value was specified in the API call
and the |
c is an identifier resolving to an in-scope let-declaration with type T | c: T | Result is the value computed for the initializer expression.
A let-declaration appears inside a function body, and its initializer
is evaluated each time control flow reaches the declaration. |
7.18. Expression Grammar Summary
When an identifier is used as a callable item, it is one of:
-
The name of a user-defined function or built-in function, as part of a function call.
-
The name of a structure type or a type alias, as part of a constructor expression.
Declaration and scope rules ensure those names are always distinct.
| '('
expression ')'
| expression ( ','
expression ) * ','
?
| '['
expression ']'
component_or_swizzle_specifier ?
| ident
| multiplicative_expression multiplicative_operator unary_expression
| additive_expression additive_operator multiplicative_expression
| shift_expression '<'
shift_expression
| shift_expression '>'
shift_expression
| shift_expression '<='
shift_expression
| shift_expression '>='
shift_expression
| binary_and_expression '&'
unary_expression
| short_circuit_or_expression '||'
relational_expression
7.19. Operator Precedence and Associativity
This entire subsection is non-normative.
Operator precedence and associativity in right-hand side WGSL expressions emerge from their grammar in summary. Right-hand expressions group operators to organize them, as illustrated by the following diagram:
To promote readability through verbosity, the following groups do not associate with other groups:
-
Short-circuit OR (can associate with self and relational weakly),
-
Short-circuit AND (can associate with self and relational weakly),
-
Binary AND (can associate with self and unary weakly),
-
Binary XOR (can associate with self and unary weakly).
And the following groups do not associate with themselves:
-
Relational (can associate with additive and shift weakly).
Associating both group sections above requires parentheses to set the relationship explicitly. The following exemplifies where these rules render expressions invalid in comments:
let a = x & (y ^ (z | w)); // Invalid: x & y ^ z | w let b = (x + y) << (z >= w); // Invalid: x + y << z >= w let c = x < (y > z); // Invalid: x < y > z let d = x && (y || z); // Invalid: x && y || z
Emergent precedence controls the implicit parentheses of an expression, where the stronger
binding operator will act as if it is surrounded by parentheses when together with operators
of weaker precedence. For example, stronger binding multiplicative operators than additive will
infer (a + (b * c))
from a + b * c
expression. Similarly, the emergent associativity controls
the direction of these implicit parentheses. For example, a left-to-right association will
infer ((a + b) + c)
from a + b + c
expression, whereas a right-to-left association
will infer (* (* a))
from * * a
expression.
The following table summarizes operator precedence, associativity, and binding, sorting by starting with strongest to weakest. The binding column contains the stronger expression of the given operator, meaning, for example, if "All above" is the value, then this operator can include any of the stronger expressions. But, for example, if "Unary" is the value, then anything weaker than unary but stronger than the operator at row would require parentheses to bind with this operator. This column is necessary for linearly listing operators.
Name | Operators | Associativity | Binding |
---|---|---|---|
Parenthesized | (...)
| ||
Primary | a() , a[] , a.b
| Left-to-right | |
Unary | -a , !a , ~a , *a , &a
| Right-to-left | All above |
Multiplicative | a*b , a/b , a%b
| Left-to-right | All above |
Additive | a+b , a-b
| Left-to-right | All above |
Shift | a<<b , a>>b
| Requires parentheses | Unary |
Relational | a<b , a>b , a<=b , a>=b , a==b , a!=b
| Requires parentheses | All above |
Binary AND | a&b
| Left-to-right | Unary |
Binary XOR | a^b
| Left-to-right | Unary |
Binary OR | a|b
| Left-to-right | Unary |
Short-circuit AND | a&&b
| Left-to-right | Relational |
Short-circuit OR | a||b
| Left-to-right | Relational |
8. Statements
Statements are program fragments that control its execution. Statements are generally executed in sequential order; however, control flow statements may cause a program to execute in non-sequential order.
8.1. Compound Statement
A compound statement is a brace-enclosed sequence of zero or more statements. When a declaration is one of those statements, its identifier is in scope from the start of the next statement until the end of the compound statement.
The continuing_compound_statement is a special form of compound statement that forms the body of a continuing statement, and allows an option break-if statement at the end.
8.2. Assignment Statement
An assignment evaluates an expression, and optionally stores it in memory (thus updating the contents of a variable).
| lhs_expression ( '='
| compound_assignment_operator ) expression
| '_'
'='
expression
The text to the left of the operator token is the left-hand side, and the expression to the right of the operator token is the right-hand side.
8.2.1. Simple Assignment
An assignment is a simple assignment when the left-hand side is an expression, and the operator is the '='
token.
In this case the value of the right-hand side is written to the memory referenced by the left-hand side.
Precondition | Statement | Description |
---|---|---|
e: T, T is a concrete constructible type, r: ref<AS,T,AM>, AS is a writable address space, access mode AM is write or read_write | r = e | Evaluates e, evaluates r, then writes the value computed for e into the memory locations referenced by r. Note: If the reference is an invalid memory reference, the write may not execute, or may write to a different memory location than expected. |
In the simplest case, the left hand side is the name of a variable. See § 5.4.6 Forming Reference and Pointer Values for other cases.
struct S { age :i32 , weight :f32 } var < private > person :S ; fn f () { var a :i32 = 20 ; a = 30 ; // Replace the contents of 'a' with 30. person . age = 31 ; // Write 31 into the age field of the person variable. var uv :vec2 < f32 > ; uv . y = 1.25 ; // Place 1.25 into the second component of uv. let uv_x_ptr :ptr < function , f32 > = & uv . x ; * uv_x_ptr = 2.5 ; // Place 2.5 into the first component of uv. var friend :S ; // Copy the contents of the 'person' variable into the 'friend' variable. friend = person ; }
8.2.2. Phony Assignment
An assignment is a phony assignment when the left-hand side is an underscore token. In this case the right-hand side is evaluated, and then ignored.
Precondition | Statement | Description |
---|---|---|
e: T, T is constructible, a pointer type, a texture type, or a sampler type | _ = e |
Evaluates e.
Note: The resulting value is not stored.
The |
A phony-assignment is useful for:
-
Calling a function that returns a value, but clearly expressing that the resulting value is not needed.
-
Statically accessing a variable, thus establishing it as a part of the shader’s resource interface.
Note: A buffer variable’s store type may not be constructible, e.g. it contains an atomic type, or a runtime-sized array. In these cases, use a pointer to the variable’s contents instead.
var < private > counter :i32 ; fn increment_and_yield_previous () ->i32 { let previous = counter ; counter = counter + 1 ; return previous ; } fn user () { // Increment the counter, but don’t use the result. _ = increment_and_yield_previous (); }
struct BufferContents { counter :atomic < u32 > , data :array < vec4 < f32 >> } @ group ( 0 ) @ binding ( 0 ) var < storage > buf :BufferContents ; @ group ( 0 ) @ binding ( 1 ) var t :texture_2d < f32 > ; @ group ( 0 ) @ binding ( 2 ) var s :sampler ; @ fragment fn shade_it () ->@ location ( 0 ) vec4 < f32 > { // Declare that buf, t, and s are part of the shader interface, without // using them for anything. _ = & buf ; _ = t ; _ = s ; return vec4 < f32 > (); }
8.2.3. Compound Assignment
An assignment is a compound assignment when the left-hand side is an expression, and the operator is one of the compound_assignment_operators.
| '+='
| '-='
| '*='
| '/='
| '%='
| '&='
| '|='
| '^='
| '>>='
| '<<='
The type requirements, semantics, and behavior of each statement is defined as if the compound assignment expands as in the following table, except that:
-
the reference expression e1 is evaluated only once, and
-
the reference type for e1 must have a read_write access mode.
Statement | Expansion |
---|---|
e1 += e2 | e1 = e1 + (e2) |
e1 -= e2 | e1 = e1 - (e2) |
e1 *= e2 | e1 = e1 * (e2) |
e1 /= e2 | e1 = e1 / (e2) |
e1 %= e2 | e1 = e1 % (e2) |
e1 &= e2 | e1 = e1 & (e2) |
e1 |= e2 | e1 = e1 | (e2) |
e1 ^= e2 | e1 = e1 ^ (e2) |
e1 >>= e2 | e1 = e1 >> (e2) |
e1 <<= e2 | e1 = e1 << (e2) |
Note: The syntax does not allow a compound assignment to also be a phony assignment.
Note: Even though the reference e1 is evaluated once, its underlying memory is accessed twice: first a read access gets the old value, and then a write access stores the updated value.
var < private > next_item :i32 = 0 ; fn advance_item () ->i32 { next_item += 1 ; // Adds 1 to next_item. return next_item - 1 ; } fn bump_item () { var data :array < f32 , 10 > ; next_item = 0 ; // Adds 5.0 to data[0], calling advance_item() only once. data [ advance_item ()] += 5.0 ; // next_item will be 1 here. } fn precedence_example () { var value = 1 ; // The right-hand side of a compound assignment is its own expression. value *= 2 + 3 ; // Same as value = value * (2 + 3); // 'value' now holds 5. }
Note: A compound assignment can rewritten as different WGSL code that uses a simple assignment instead. The idea is to use a pointer to hold the result of evaluating the reference once.
For example,
when e1 is not a reference to a component inside a vector, then e1+=
e2 can be rewritten as {let p = &(
e1); *p = *p + (
e2);}
,
where the identifier p
is chosen to be different from all other identifiers in the program.
When e1 is a reference to a component inside a vector, the above technique
needs to be modified because WGSL does not allow taking the address in that case.
For example, if ev is a reference to a vector, the statement ev[
c] +=
e2 can be rewritten as {let p = &(
ev); let c0 =
c; (*p)[c0] = (*p)[c0] + (
e2);}
, where
identifiers c0
and p
are chosen to be different from all other identifiers in the program.
8.3. Increment and Decrement Statements
An increment statement adds 1 to the contents of a variable. A decrement statement subtracts 1 from the contents of a variable.
The expression must evaluate to a reference with a concrete integer scalar store type and read_write access mode.
Precondition | Statement | Description |
---|---|---|
r : ref<AS,T,read_write>, T is a concrete integer scalar | r++
| Adds 1 to the contents of memory referenced by r. Same as r += T(1) |
r : ref<AS,T,read_write>, T is a concrete integer scalar | r--
| Subtracts 1 from the contents of memory referenced by r. Same as r -= T(1) |
fn f () { var a :i32 = 20 ; a ++ ; // Now a contains 21 a -- ; // Now a contains 20 }
8.4. Control Flow
Control flow statements may cause the program to execute in non-sequential order.
8.4.1. If Statement
An if statement conditionally executes at most one compound statement based on the evaluation of condition expressions.
An if
statement has an if
clause, followed by zero or more else if
clauses, followed by an optional else
clause.
Type rule precondition:
The expression in each if
and else if
clause must be of bool type.
An if
statement is executed as follows:
-
The condition associated with the
if
clause is evaluated. If the result istrue
, control transfers to the first compound statement (immediately after the condition expression). -
Otherwise, the condition of the next
else if
clause in textual order (if one exists) is evaluated and, if the result istrue
, control transfers to the associated compound statement.-
This behavior is repeated for all
else if
clauses until one of the conditions evaluates totrue
.
-
-
If no condition evaluates to
true
, then control transfers to the compound statement associated with theelse
clause (if it exists).
8.4.2. Switch Statement
A switch statement transfers control to one of a set of case clauses, or to the default clause, depending on the evaluation of a selector expression.
| case_selector ( ','
case_selector ) * ','
?
A case clause is the 'case'
token followed by a comma-separated list of case selectors and a
body in the form of a compound statement.
A default-alone clause is the 'default'
token followed by a body in the form of a compound statement.
A default clause is either:
-
a case clause where
'default'
appears as one of its selectors, or
Each switch statement must have exactly one default clause.
The 'default'
token must not appear more than once in a single case_selector list.
Type rule precondition: For a single switch statement, the selector expression and all case selector expressions must be of the same concrete integer scalar type.
The expressions in the case_selectors must be const-expressions.
Two different case selector expressions in the same switch statement must not have the same value.
If the selector value equals the value of an expression in a case_selector list, then control is transferred to the body of that case clause. If the selector value does not equal any of the case selector values, then control is transferred to the body of the default clause.
When control reaches the end of the body of a clause, control transfers to the first statement after the switch statement.
When one of the statements in the body of a clause is a declaration, it follows the normal scope and lifetime rules of a declaration in a compound statement. That is, the body is a sequence of statements, and if one of those is a declaration then the scope of that declaration extends from the start of the next statement in the sequence until the end of the body. The declaration executes when it is reached, creating a new instance of the variable or value, and initializes it.
var a :i32 ; let x :i32 = generateValue (); switch x { case 0 :{ // The colon is optional a = 1 ; } default { // The default need not appear last a = 2 ; } case 1 , 2 , { // Multiple selector values can be used a = 3 ; } case 3 , { // The trailing comma is optional a = 4 ; } case 4 { a = 5 ; } }
const c = 2 ; var a :i32 ; let x :i32 = generateValue (); switch x { case 0 :{ a = 1 ; } case 1 , c { // Const-expression can be used in case selectors a = 3 ; } case 3 , default { // The default keyword can be used with other clauses a = 4 ; } }
8.4.3. Loop Statement
A loop statement repeatedly executes a loop body; the loop body is specified as a compound statement. Each execution of the loop body is called an iteration.
This repetition can be interrupted by a break, or return statement.
Optionally, the last statement in the loop body may be a continuing statement.
When one of the statements in the loop body is a declaration, it follows the normal scope and lifetime rules of a declaration in a compound statement. That is, the loop body is a sequence of statements, and if one of those is a declaration then the scope of that declaration extends from the start of the next statement in the sequence until the end of the loop body. The declaration executes each time it is reached, so each new iteration creates a new instance of the variable or value, and re-initializes it.
Note: The loop statement is one of the biggest differences from other shader languages.
This design directly expresses loop idioms commonly found in compiled code. In particular, placing the loop update statements at the end of the loop body allows them to naturally use values defined in the loop body.
var a :i32 = 2 ; var i :i32 = 0 ; // <1> loop { if i >= 4 { break ; } a = a * 2 ; i ++ ; }
- <1> The initialization is listed before the loop.
int a = 2; let int step = 1; for (int i = 0; i < 4; i += step) { if i % 2 == 0 continue; a *= 2; }
var a :i32 = 2 ; var i :i32 = 0 ; loop { if i >= 4 { break ; } let step :i32 = 1 ; i = i + step ; if i % 2 == 0 { continue ; } a = a * 2 ; }
var a :i32 = 2 ; var i :i32 = 0 ; loop { if i >= 4 { break ; } let step :i32 = 1 ; if i % 2 == 0 { continue ; } a = a * 2 ; continuing { // <2> i = i + step ; } }
- <2> The continue construct is placed at the end of the
loop
8.4.4. For Statement
| for_init ? ';'
expression ? ';'
for_update ?
The for statement takes the form for (initializer; condition; update_part) { body }
and is syntactic sugar on top of a loop statement with the same body
.
Additionally:
-
If
initializer
is non-empty, it is executed inside an additional scope before the first iteration. The scope of a declaration in the initializer extends to the end of the loop body. -
Type rule precondition: If the condition is non-empty, it must be an expression of bool type.
-
If present, the condition is evaluated immediately before executing the loop body. If the condition is false, then a § 8.4.6 Break Statement is executed, finishing execution of the loop. This check is performed at the start of each loop iteration.
-
-
If
update_part
is non-empty, it becomes a continuing statement at the end of the loop body.
The initializer
of a for loop is executed once prior to executing the loop.
When a declaration appears in the initializer, its identifier is in scope until the end of the body
.
Unlike declarations in the body
, the declaration is not re-initialized each iteration.
The condition
, body
and update_part
execute in that order to form a loop iteration.
The body
is a special form of compound statement.
The identifier of a declaration in the body
is in scope from the start of
the next statement until the end of the body
.
The declaration is executed each time it is reached, so each new iteration
creates a new instance of the variable or constant, and re-initializes it.
for(var i: i32 = 0; i < 4; i++) { if a == 0 { continue; } a = a + 2; }
Converts to:
{ // Introduce new scope for loop variable i var i :i32 = 0 ; var a :i32 = 0 ; loop { if ! ( i < 4 ) { break ; } if a == 0 { continue ; } a = a + 2 ; continuing { i ++ ; } } }
8.4.5. While Statement
The while statement is a kind of loop parameterized by a condition. At the start of each loop iteration, a boolean condition is evaluated. If the condition is false, the while loop ends execution. Otherwise, the rest of the iteration is executed.
Type rule precondition: The condition must be of bool type.
A while loop can be viewed as syntactic sugar over either a loop or for statement. The following statement forms are equivalent:
-
while
condition{
body_statements}
-
loop { if !
condition{break;}
body_statements}
-
for (;
condition;) {
body_statements}
8.4.6. Break Statement
| 'break'
A break statement transfers control to immediately after the body of the nearest-enclosing loop or switch statement, thus ending execution of the loop or switch statement.
A break
statement must only be used within loop, for, while, and switch statements.
A break
statement must not be placed such that it would exit from a loop’s continuing statement.
Use a break-if statement instead.
var a :i32 = 2 ; var i :i32 = 0 ; loop { let step :i32 = 1 ; if i % 2 == 0 { continue ; } a = a * 2 ; continuing { i = i + step ; if i >= 4 { break ; } // Invalid. Use break-if instead. } }
8.4.7. Break-If Statement
A break-if statement evaluates a boolean condition; If the condition is true, control is transferred to immediately after the body of the nearest-enclosing loop statement, ending execution of that loop.
Type rule precondition: The condition must be of bool type.
Note: A break-if statement may only appear as the last statement in the body of a continuing statement.
var a :i32 = 2 ; var i :i32 = 0 ; loop { let step :i32 = 1 ; if i % 2 == 0 { continue ; } a = a * 2 ; continuing { i = i + step ; break if i >= 4 ; } }
8.4.8. Continue Statement
A continue statement transfers control in the nearest-enclosing loop:
-
forward to the continuing statement at the end of the body of that loop, if it exists.
-
otherwise backward to the first statement in the loop body, starting the next iteration.
A continue
statement must only be used in a loop, for or while statement.
A continue
statement must not be placed such that it would transfer
control to an enclosing continuing statement.
(It is a forward branch when branching to a continuing
statement.)
A continue
statement must not be placed such that it would transfer
control past a declaration used in the targeted continuing statement.
Note: A continue
can only be used in a continuing
statement if it is used for transferring control
flow within another loop nested in the continuing
statement. That is, a continue
cannot be used to transfer control to the start of the currently executing continuing
statement.
var i :i32 = 0 ; loop { if i >= 4 { break ; } if i % 2 == 0 { continue ; } // <3> let step :i32 = 2 ; continuing { i = i + step ; } }
- <3> The
continue
is invalid because it bypasses the declaration ofstep
used in thecontinuing
construct
8.4.9. Continuing Statement
| '{'
statement * break_if_statement ? '}'
A continuing statement specifies a compound statement to be executed at the end of a loop iteration. The construct is optional.
The compound statement must not contain a return at any compound statement nesting level.
8.4.10. Return Statement
| 'return'
expression ?
A return statement ends execution of the current function. If the function is an entry point, then the current shader invocation is terminated. Otherwise, evaluation continues with the next expression or statement after the evaluation of the call site of the current function invocation.
If the function does not have a return type, then the return statement is optional. If the return statement is provided for such a function, it must not supply a value. Otherwise the expression must be present, and is called the return value. In this case the call site of this function invocation evaluates to the return value. The type of the return value must match the return type of the function.
8.4.11. Discard Statement
A discard statement converts the invocation into
a helper invocation and throws away the fragment.
The discard
statement must only be used in a fragment shader stage.
More precisely, executing a discard
statement will:
-
convert the current invocation into a helper invocation, and
-
prevent the current fragment from being processed downstream in the GPURenderPipeline.
Only statements executed prior to the discard
statement will have observable effects.
Note: A discard
statement may be executed by any function in a fragment stage and the effect is the same:
the fragment will be thrown away.
@ group ( 0 ) @ binding ( 0 ) var < storage , read_write > will_emit_color :u32 ; fn discard_if_shallow ( pos :vec4 < f32 > ) { if pos . z < 0.001 { // If this is executed, then the will_emit_color variable will // never be set to 1 because helper invocations will not write // to shared memory. discard ; } will_emit_color = 1 ; } @ fragment fn main ( @ builtin ( position ) coord_in :vec4 < f32 > ) ->@ location ( 0 ) vec4 < f32 > { discard_if_shallow ( coord_in ); // Set the value to 1 and emit red, but only if the helper function // did not execute the discard statement. will_emit_color = 1 ; return vec4 < f32 > ( 1.0 , 0.0 , 0.0 , 1.0 ); }
8.5. Function Call Statement
A function call statement executes a function call.
Note: If the function returns a value, that value is ignored.
8.6. Static Assertion Statement
A static assertion statement produces a shader-creation error if the
expression evaluates to false
.
The expression must be a const-expression.
The statement can satisfy static access conditions in
a shader, but otherwise has no effect on the compiled shader.
This statement can be used at module scope and within functions.
const x = 1 ; const y = 2 ; static_assert x < y ; // valid at module-scope. static_assert ( y != 0 ); // parentheses are optional. fn foo () { const z = x + y - 2 ; static_assert z > 0 ; // valid in functions. let a = 3 ; static_assert a != 0 ; // invalid, the expresion must be a const-expression. }
8.7. Statements Grammar Summary
The statement rule matches statements that can be used in most places inside a function body.
| ';'
Additionally, certain statements may only be used in very specific contexts:
8.8. Statements Behavior Analysis
8.8.1. Rules
Some statements affecting control-flow are only valid in some contexts. For example, continue is invalid outside of a loop, for, or while. Additionally, the uniformity analysis (see § 13.2 Uniformity) needs to know when control flow can exit a statement in multiple different ways.
Both goals are achieved by a system for summarizing execution behaviors of statements and expressions. Behavior analysis maps each statement and expression to the set of possible ways execution proceeds after evaluation of the statement or expression completes. As with type analysis for values and expressions, behavior analysis proceeds bottom up: first determine behaviors for certain basic statements, and then determine behavior for higher level constructs by applying combining rules.
A behavior is a set, whose elements may be:
-
Return
-
Break
-
Continue
-
Next
Each of those correspond to a way to exit a compound statement: either through a keyword, or by falling to the next statement ("Next").
We note "s: B" to say that s respects the rules regarding behaviors, and has behavior B.
For each function:
-
Its body must be a valid statement by these rules.
-
If the function has a return type, the behavior of its body must be {Return}.
-
Otherwise, the behavior of its body must be a subset of {Next, Return}.
We assign a behavior to each function: it is its body’s behavior (treating the body as a regular statement), with any "Return" replaced by "Next". As a consequence of the rules above, a function behavior is always one of {}, or {Next}.
Behavior analysis must be able to determine a non-empty behavior for each statement, and function.
Statement | Preconditions | Resulting behavior |
---|---|---|
empty statement | {Next} | |
{s} | s: B | B |
s1 s2
Note: s1 often ends in a semicolon. | s1: B1 Next in B1 s2: B2 | (B1∖{Next}) ∪ B2 |
s1: B1 Next not in B1 s2: B2 | B1 | |
var x:T; | {Next} | |
let x = e; | {Next} | |
var x = e; | {Next} | |
x = e; | {Next} | |
_ = e; | {Next} | |
f(e1, ..., en); | f has behavior B | B |
return; | {Return} | |
return e; | {Return} | |
discard; | {Next} | |
break; | {Break} | |
break if e; | {Break, Next} | |
continue; | {Continue} | |
if e s1 else s2 | s1: B1 s2: B2 | B1 ∪ B2 |
loop {s1 continuing {s2}} | s1: B1 s2: B2 None of {Continue, Return} are in B2 Break is not in (B1 ∪ B2) | (B1 ∪ B2)∖{Continue, Next} |
s1: B1 s2: B2 None of {Continue, Return} are in B2 Break is in (B1 ∪ B2) | (B1 ∪ B2 ∪ {Next})∖{Break, Continue} | |
switch e {case c1: s1 ... case cn: sn} | s1: B1 ... sn: Bn Break is not in (B1 ∪ ... ∪ Bn) | B1 ∪ ... ∪ Bn |
s1: B1 ... sn: Bn Break is in (B1 ∪ ... ∪ Bn) | (B1 ∪ ... ∪ Bn ∪ {Next})∖Break |
Note: The empty statement case occurs when a loop
has an empty body, or when a for
loop lacks an initialization or update statement.
For the purpose of this analysis:
-
for
loops get desugared (see § 8.4.4 For Statement) -
while
loops get desugared (see § 8.4.5 While Statement) -
loop {s}
is treated asloop {s continuing {}}
-
if
statements without anelse
branch are treated as if they had an empty else branch (which adds Next to their behavior) -
if
statements withelse if
branches are treated as if they were nested simpleif/else
statements -
a switch_body starting with
default
behaves just like a switch_body starting withcase _:
Each built-in function has a behavior of {Next}. And each operator application not listed in the table above has the same behavior as if it were a function call with the same operands and with a function’s behavior of {Next}.
The behavior of a function must satisfy the rules given above.
Note: It is unnecessary to analyze the behavior of expressions because they will always be {Next} or a previously analyzed function will have produced a error.
8.8.2. Notes
This section is informative, non-normative.
Here is the full list of ways that these rules can cause a program to be rejected (this is just restating information already listed above):
-
The body of a function (treated as a regular statement) has a behavior not included in {Next, Return}.
-
The body of a function with a return type has a behavior which is not {Return}.
-
The behavior of a continuing block contains any of Continue, or Return.
-
Some obviously infinite loops have an empty behavior set, and are therefore invalid.
This analysis can be run in linear time, by analyzing the call-graph bottom-up (since the behavior of a function call can depend on the function’s code).
8.8.3. Examples
Here are some examples showing this analysis in action:
fn simple () ->i32 { var a :i32 ; return 0 ; // Behavior: {Return} a = 1 ; // Valid, statically unreachable code. // Statement behavior: {Next} // Overall behavior (due to sequential statements): {Return} return 2 ; // Valid, statically unreachable code. Behavior: {Return} } // Function behavior: {Return}
fn nested () ->i32 { var a :i32 ; { // The start of a compound statement. a = 2 ; // Behavior: {Next} return 1 ; // Behavior: {Return} } // The compound statement as a whole has behavior {Return} a = 1 ; // Valid, statically unreachable code. // Statement behavior: {Next} // Overall behavior (due to sequential statements): {Return} return 2 ; // Valid, statically unreachable code. Behavior: {Return} }
fn if_example () { var a :i32 = 0 ; loop { if a == 5 { break ; // Behavior: {Break} } // Behavior of the whole if compound statement: {Break, Next}, // as the if has an implicit empty else a = a + 1 ; // Valid, as the previous statement had "Next" in its behavior } }
fn if_example () { var a :i32 = 0 ; loop { if a == 5 { break ; // Behavior: {Break} } else { continue ; // Behavior: {Continue} } // Behavior of the whole if compound statement: {Break, Continue} a = a + 1 ; // Valid, statically unreachable code. // Statement behavior: {Next} // Overall behavior: {Break, Continue} } }
fn if_example () { var a :i32 = 0 ; loop { // if e1 s1 else if e2 s2 else s3 // is identical to // if e1 else { if e2 s2 else s3 } if a == 5 { break ; // Behavior: {Break} } else if a == 42 { continue ; // Behavior: {Continue} } else { return ; // Behavior {Return} } // Behavior of the whole if compound statement: // {Break, Continue, Return} } // Behavior of the whole loop compound statement {Next, Return} } // Behavior of the whole function {Next}
fn switch_example () { var a :i32 = 0 ; switch a { default :{ break ; // Behavior: {Break} } } // Behavior: {Next}, as switch replaces Break by Next a = 5 ; // Valid, as the previous statement had Next in its behavior }
fn invalid_infinite_loop () { loop { } // Behavior: { }. Invalid because it’s empty. }
fn invalid_infinite_loop () { loop { discard ; // Behavior { Next }. } // Invalid, behavior of the whole loop is { }. }
fn conditional_continue () { var a :i32 ; loop { if a == 5 { break ; } // Behavior: {Break, Next} if a % 2 == 1 { // Valid, as the previous statement has Next in its behavior continue ; // Behavior: {Continue} } // Behavior: {Continue, Next} a = a * 2 ; // Valid, as the previous statement has Next in its behavior continuing { // Valid as the continuing statement has behavior {Next} // which does not include any of: // {Break, Continue, Return} a = a + 1 ; } } // The loop as a whole has behavior {Next}, // as it absorbs "Continue" and "Next", // then replaces "Break" with "Next" }
fn redundant_continue_with_continuing () { var a :i32 ; loop { if a == 5 { break ; } continue ; // Valid. This is redundant, branching to the next statement. continuing { a = a + 1 ; } } }
fn continue_end_of_loop_body () { for ( var i :i32 = 0 ; i < 5 ; i ++ ) { continue ; // Valid. This is redundant, // branching to the end of the loop body. } // Behavior: {Next}, // as loops absorb "Continue", // and "for" loops always add "Next" }
for
loops desugar to loop
with a conditional break. As shown in a previous example, the conditional break has behavior {Break, Next}, which leads to adding "Next" to the loop’s behavior.
fn missing_return () ->i32 { var a :i32 = 0 ; if a == 42 { return a ; // Behavior: {Return} } // Behavior: {Next, Return} } // Error: Next is invalid in the body of a // function with a return type
fn continue_out_of_loop () { var a :i32 = 0 ; if a > 0 { continue ; // Behavior: {Continue} } // Behavior: {Next, Continue} } // Error: Continue is invalid in the body of a function
continue
was replaced by break
.
9. Functions
A function performs computational work when invoked.
A function is invoked in one of the following ways:
-
By evaluating a function call expression. See § 7.12 Function Call Expression.
-
By executing a function call statement. See § 8.5 Function Call Statement.
-
An entry point function is invoked by the WebGPU implementation to perform the work of a shader stage in a pipeline. See § 10 Entry Points
There are two kinds of functions:
-
A built-in function is provided by the WGSL implementation, and is always available to a WGSL program. See § 17 Built-in Functions.
-
A user-defined function is declared in a WGSL program.
9.1. Declaring a User-defined Function
A function declaration creates a user-defined function, by specifying:
-
An optional set of attributes.
-
The name of the function.
-
The formal parameter list: an ordered sequence of zero or more formal parameter declarations, which may have attributes applied, separated by commas, and surrounded by parentheses.
-
An optional return type, which may have attributes applied.
-
The function body. This is the set of statements to be executed when the function is called.
A function declaration must only occur at module scope. A function name is in scope for the entire program.
A formal parameter declaration specifies an identifier name and a type for a value that must be provided when invoking the function. A formal parameter may have attributes. See § 9.2 Function Calls. The identifier is in scope until the end of the function. Two formal parameters for a given function must not have the same name.
Note: Some built-in functions may allow parameters to be abstract numeric types; however, this functionality is not currently supported for user-declared functions.
The return type, if specified, must be constructible.
WGSL defines the following attributes that can be applied to function declarations:
-
the shader stage attributes: vertex, fragment, and compute
WGSL defines the following attributes that can be applied to function parameters and return types:
| 'fn'
ident '('
param_list ? ')'
( '->'
attribute * type_specifier ) ?
// Declare the add_two function. // It has two formal parameters, i and b. // It has a return type of i32. // It has a body with a return statement. fn add_two ( i :i32 , b :f32 ) ->i32 { return i + 2 ; // A formal parameter is available for use in the body. } // A compute shader entry point function, 'main'. // It has no specified return type. // It invokes the add_two function, and captures // the resulting value in the named value 'six'. @ compute @ workgroup_size ( 1 ) fn main () { let six :i32 = add_two ( 4 , 5.0 ); }
9.2. Function Calls
A function call is a statement or expression which invokes a function.
The function containing the function call is the calling function, or caller. The function being invoked is the called function, or callee.
The function call:
-
Names the called function, and
-
Provides a parenthesized, comma-separated list of argument value expressions.
The function call must supply the same number of argument values as there are formal parameters in the called function. Each argument value must evaluate to the same type as the corresponding formal parameter, by position.
In summary, when calling a function:
-
Execution of the calling function is suspended.
-
The called function executes until it returns.
-
Execution of the calling function resumes.
A called function returns as follows:
-
A built-in function returns when its work has completed.
-
A user-defined function with a return type returns when it executes a return statement.
-
A user-defined function with no return type returns when it executes a return statement, or when execution reaches the end of its function body.
In detail, when a function call is executed the following steps occur:
-
Function call argument values are evaluated. The relative order of evaluation is left-to-right.
-
Execution of the calling function is suspended. All function scope variables and constants maintain their current values.
-
If the called function is user-defined, memory is allocated for each function scope variable in the called function.
-
Initialization occurs as described in § 6.3 var Declarations.
-
-
Values for the formal parameters of the called function are determined by matching the function call argument values by position. For example, the first formal parameter of the called function will have the value of the first argument at the call site.
-
Control is transferred to the called function. If the called function is user-defined, execution proceeds starting from the first statement in the body.
-
The called function is executed, until it returns.
-
Control is transferred back to the calling function, and the called function’s execution is unsuspended. If the called function returns a value, that value is supplied for the value of the function call expression.
The location of a function call is referred to as a call site. Call sites are a dynamic context. As such, the same textual location may represent multiple call sites.
Note: It is possible that a function call in a fragment shader never returns if all of the invocations in a quad are discarded. In such a case, control will not be tranferred back to the calling function.
9.3. const
Functions
A function declared with a const attribute can be evaluated at shader-creation time. These functions are called const-functions. Calls to these functions can part of const-expressions.
It is a shader-creation error if the function contains any expressions that are not const-expressions, or any declarations that are not const-declarations.
Note: The const attribute cannot be applied to user-declared functions.
const first_one = firstLeadingBit(1234 + 4567); // Evaluates to 12 // first_one has the type i32, because // firstLeadingBit cannot operate on // AbstractInt @id(1) override x : i32; override y = firstLeadingBit(x); // const-expressions can be // used in override-expressions. // firstLeadingBit(x) is not a // const-expression in this context. fn foo() { var a : array<i32, firstLeadingBit(257)>; // const-functions can be used in // const-expressions if all their // parameters are const-expressions. }
9.4. Restrictions on Functions
-
A vertex shader must return the position built-in output value.
-
An entry point must never be the target of a function call.
-
If a function has a return type, it must be a constructible type.
-
A function parameter must one the following types:
-
a constructible type
-
a pointer type
-
a texture type
-
a sampler type
-
-
Each function call argument must evaluate to the type of the corresponding function parameter.
-
In particular, an argument that is a pointer must agree with the formal parameter on address space, store type, and access mode.
-
-
For user-defined functions, a parameter of pointer type must be in one of the following address spaces:
-
For built-in functions, a parameter of pointer type must be in one of the following address spaces:
-
Each argument of pointer type to a user-defined function must have the same memory view as its root identifier.
-
Note: This means no vector, matrix, array, or struct access expressions can be applied to produce a memory view into the root identifier when traced from the argument back through all the let-declarations.
-
Note: Recursion is disallowed because cycles are not permitted among any kinds of declarations.
fn bar ( p :ptr < function , f32 > ) { } fn baz ( p :ptr < private , i32 > ) { } fn bar2 ( p :ptr < function , f32 > ) { let a = &*&* ( p ); bar ( p ); // Valid bar ( a ); // Valid } struct S { x :i32 } var usable_priv :i32 ; var unusable_priv :array < i32 , 4 > ; fn foo () { var usable_func :f32 ; var unusable_func :S ; let a_priv = & usable_priv ; let b_priv = a_priv ; let c_priv = &*& usable_priv ; let d_priv = & ( unusable_priv . x ); let e_priv = d_priv ; let a_func = & usable_func ; let b_func = & unusable_func ; let c_func = & ( * b_func )[ 0 ]; let d_func = c_func ; let e_func = &* a_func ; baz ( & usable_priv ); // Valid, address-of a variable. baz ( a_priv ); // Valid, effectively address-of a variable. baz ( b_priv ); // Valid, effectively address-of a variable. baz ( c_priv ); // Valid, effectively address-of a variable. baz ( d_priv ); // Invalid, memory view has changed. baz ( e_priv ); // Invalid, memory view has changed. bar ( & usable_func ); // Valid, address-of a variable. bar ( c_func ); // Invalid, memory view has changed. bar ( d_func ); // Invalid, memory view has changed. bar ( e_func ); // Valid, effectively address-of a variable. }
9.4.1. Alias Analysis
9.4.1.1. Root Identifier
Memory locations can be accessed during the execution of a function using memory views. Within a function, each memory view has a particular root identifier, which names the variable or formal parameter that first provides access to that memory in that function.
Locally derived expressions of reference or pointer type may introduce new names for a particular root identifier, but each expression has a statically determinable root identifier.
Given an expression E of pointer or reference type, the root identifier is the originating variable or formal parameter of pointer type found as follows:
-
If E is an identifier resolving to a variable, then the root identifier is that variable.
-
If E is an identifier resolving to a formal parameter of pointer type, then the root identifier is that formal parameter.
-
If E is an identifier resolving to a let-declaration with initializer E2, then the root identifier is the root identifier of E2.
-
If E is of the form
(
E2)
,&
E2,*
E2, or E2[
Ei]
then the root identifier is the root identifier of E2. -
If E is a vector access expression of the form E2.swiz, where swiz is a swizzle name, then the root identifer is the root identifier of E2.
-
If E is a structure access expression of the form E2.member_name, then the root identifer is the root identifier of E2.
9.4.1.2. Aliasing
While the originating variable of a root identifier is a dynamic concept that depends on the call sites for the function, WGSL programs can be statically analyzed to determine the set of all possible originating variables for each root identifier.
Two root identifiers alias when they have the same originating variable. Execution of a WGSL function must not potentially access memory through aliased root identifiers, where one access is a write and the other is a read or a write. This is determined by analyzing the program from the leaves of the callgraph upwards (i.e. topological order). For each function the analysis records the following sets:
-
Module-scope variables that are written. This includes any module-scope variables that are written in functions called from this function.
-
Module-scope variables that are read. This includes any module-scope variables that are read in functions called from this function.
-
Pointer parameters used as root identifiers of memory views that are written in this function or in called functions.
-
Pointer parameters used as root identifiers of memory views that are read in this function or in called functions.
At each call site of a function, it is a shader-creation error if any of the following occur:
-
Two arguments of pointer type have the same root identifier and either corresponding parameter is in the written parameter set.
-
An argument of pointer type whose root identifier is a module-scope variable where:
-
the corresponding pointer parameter is in the set of written pointer parameters, and
-
the module-scope variable is in the read set for the called function.
-
-
An argument of pointer type whose root identifier is a module-scope variable where:
-
the corresponding pointer parameter is in the set of written pointer parameters, and
-
the module-scope variable is in the written set for the called function.
-
-
An argument of pointer type whose root identifier is a module-scope variable where:
-
the corresponding pointer parameter is in the set of read pointer parameters, and
-
the module-scope variable is in the written set for the called function.
-
var x :i32 = 0 ; fn f1 ( p1 :ptr < function , i32 > , p2 :ptr < function , i32 > ) { * p1 = * p2 ; } fn f2 ( p1 :ptr < function , i32 > , p2 :ptr < function , i32 > ) { f1 ( p1 , p2 ); } fn f3 () { var a :i32 = 0 ; f2 ( & a , & a ); // Invalid. Cannot pass two pointer parameters // with the same root identifier when one or // more are written (even by a subfunction). } fn f4 ( p1 :ptr < function , i32 > , p2 :ptr < function , i32 > ) ->i32 { return * p1 + * p2 ; } fn f5 () { var a :i32 = 0 ; let b = f4 ( & a , & a ); // Valid. p1 and p2 in f3 are both only read. } fn f6 ( p :ptr < private , i32 > ) { x = * p ; } fn f7 ( p :ptr < private , i32 > ) ->i32 { return x + * p ; } fn f8 () { let a = f6 ( & x ); // Invalid. x is written as a global variable and // read as a parameter. let b = f7 ( & x ); // Valid. x is only read as both a parameter and // a variable. }
10. Entry Points
An entry point is a user-defined function that performs the work for a particular shader stage.
10.1. Shader Stages
WebGPU issues work to the GPU in the form of draw or dispatch commands. These commands execute a pipeline in the context of a set of shader stage inputs, outputs, and attached resources.
A pipeline describes the work to be performed on the GPU, as a sequence of stages, some of which are programmable. In WebGPU, a pipeline is created before scheduling a draw or dispatch command for execution. There are two kinds of pipelines: GPUComputePipeline, and GPURenderPipeline.
A dispatch command uses a GPUComputePipeline to run a compute shader stage over a logical grid of points with a controllable amount of parallelism, while reading and possibly updating buffer and image resources.
A draw command uses a GPURenderPipeline to run a multi-stage process with two programmable stages among other fixed-function stages:
-
A vertex shader stage maps input attributes for a single vertex into output attributes for the vertex.
-
Fixed-function stages map vertices into graphic primitives (such as triangles) which are then rasterized to produce fragments.
-
A fragment shader stage processes each fragment, possibly producing a fragment output.
-
Fixed-function stages consume a fragment output, possibly updating external state such as color attachments and depth and stencil buffers.
The WebGPU specification describes pipelines in greater detail.
WGSL defines three shader stages, corresponding to the programmable parts of pipelines:
-
compute
-
vertex
-
fragment
Each shader stage has its own set of features and constraints, described elsewhere.
10.2. Entry Point Declaration
To create an entry point, declare a user-defined function with a shader stage attribute.
When configuring a pipeline in the WebGPU API,
the entry point’s function name maps to the entryPoint
attribute of the WebGPU § GPUProgrammableStage object.
The entry point’s formal parameters denote the stage’s shader stage inputs. The entry point’s return value, if specified, denotes the stage’s shader stage outputs.
The type of each formal parameter, and the entry point’s return type, must be one of:
-
a structure whose member types are any of bool, numeric scalar, or numeric vector.
A structure type can be used to group user-defined inputs with each other and optionally with built-in inputs. A structure type can be used as the return type to group user-defined outputs with each other and optionally with built-in outputs.
Note: The bool case is forbidden for user-defined inputs and outputs. It is only permitted for the front_facing builtin value.
Note: Compute entry points never have a return type.
@ vertex fn vert_main () ->@ builtin ( position ) vec4 < f32 > { return vec4 < f32 > ( 0.0 , 0.0 , 0.0 , 1.0 ); } @ fragment fn frag_main ( @ builtin ( position ) coord_in :vec4 < f32 > ) ->@ location ( 0 ) vec4 < f32 > { return vec4 < f32 > ( coord_in . x , coord_in . y , 0.0 , 1.0 ); } @ compute @ workgroup_size ( 1 ) fn comp_main () { }
The set of functions in a shader stage is the union of:
-
The entry point function for the stage.
-
The targets of function calls from within the body of a function in the shader stage, whether or not that call is executed.
The union is applied repeatedly until it stabilizes. It will stabilize in a finite number of steps.
10.2.1. Function Attributes for Entry Points
WGSL defines the following attributes that can be applied to entry point declarations:
-
the shader stage attributes: vertex, fragment, and compute
Can we query upper bounds on workgroup size dimensions? Is it independent of the shader, or a property to be queried after creating the shader module?
@ compute @ workgroup_size ( 8 , 4 , 1 ) fn sorter () { } @ compute @ workgroup_size ( 8 u ) fn reverser () { } // Using an pipeline-overridable constant. @ id ( 42 ) override block_width = 12 u ; @ compute @ workgroup_size ( block_width ) fn shuffler () { } // Error: workgroup_size must be specified on compute shader @ compute fn bad_shader () { }
10.3. Shader Interface
The shader interface is the set of objects through which the shader accesses data external to the shader stage, either for reading or writing, and the pipeline-overridable constants used to configure the shader. The interface includes:
-
Attached resources, which include:
A declaration D is statically accessed by a shader when:
-
An identifier resolving to D appears in the declaration of any of the functions in the shader stage.
-
An identifier resolving to D is used to define a type for a statically accessed declaration.
-
An identifier resolving to D is used in the initializer for a statically accessed declaration.
-
An identifier resolving to D is used by an attribute used by a statically accessed declaration.
-
All the parts of a function declaration including attributes, formal parameters, return type, and function body.
-
Any type needed to define the above, including following type aliases.
-
As a particular case of helping to define a type, any override-declaration used in an override-expression that is the element count of an array type for a variable in the workgroup address space, when that variable itself is statically accessed.
-
Any override declarations used to support the evaluation of override-expressions in any of the above.
-
Any attributes on any of the above.
We can now precisely define the interface of a shader as consisting of:
-
The formal parameters of the entry point. These denote the shader stage inputs.
-
The return value of the entry point. This denotes the shader stage outputs.
-
The uniform buffer, storage buffer, texture resource, and sampler resource variables statically accessed by the shader.
-
The override-declarations statically accessed by the shader.
10.3.1. Inter-stage Input and Output Interface
A shader stage input is a datum provided to the shader stage from upstream in the pipeline. Each datum is either a built-in input value, or a user-defined input.
A shader stage output is a datum the shader provides for further processing downstream in the pipeline. Each datum is either a built-in output value, or a user-defined output.
IO attributes are used to establish an object as a shader stage input or a shader stage output, or to further describe the properties of an input or output. The IO attributes are:
10.3.1.1. Built-in Inputs and Outputs
A built-in input value provides access to system-generated control information. The set of built-in inputs are listed in § 16 Built-in Values. An entry point must not contain duplicated built-in inputs.
A built-in input for stage S with name X and type TX is accessed via a formal parameter to an entry point for shader stage S, in one of two ways:
-
The parameter has attribute
builtin(
X)
and is of type TX. -
The parameter has structure type, where one of the structure members has attribute
builtin(
X)
and is of type TX.
Conversely, when a parameter or member of a parameter for an entry point has a builtin attribute, the corresponding builtin must be an input for the entry point’s shader stage.
A built-in output value is used by the shader to convey control information to later processing steps in the pipeline. The set of built-in outputs are listed in § 16 Built-in Values. An entry point must not contain duplicated built-in outputs.
A built-in output for stage S with name Y and type TY is set via the return value for an entry point for shader stage S, in one of two ways:
-
The entry point return type has attribute
builtin(
Y)
and is of type TY. -
The entry point return type has structure type, where one of the structure members has attribute
builtin(
Y)
and is of type TY.
Conversely, when the return type or member of a return type for an entry point has a builtin attribute, the corresponding builtin must be an output for the entry point’s shader stage.
Note: The position built-in is both an output of a vertex shader, and an input to the fragment shader.
Collectively, built-in input and built-in output values are known as built-in values.
10.3.1.2. User-defined Inputs and Outputs
User-defined data can be passed as input to the start of a pipeline, passed between stages of a pipeline or output from the end of a pipeline.
Each user-defined input datum and user-defined output datum must:
-
be of numeric scalar type or numeric vector type.
-
be assigned an IO location. See § 10.3.1.3 Input-output Locations.
A compute shader must not have user-defined inputs or outputs.
10.3.1.3. Input-output Locations
Each input-output location can store a value up to 16 bytes in size. The byte size of a type is defined using the SizeOf column in § 5.3.6.1 Alignment and Size. For example, a four-component vector of floating-point values occupies a single location.
IO locations are specified via the location attribute.
Each user-defined input and output must have an explicitly specified IO location. Each structure member in the entry point IO must be one of either a built-in value (see § 10.3.1.1 Built-in Inputs and Outputs), or assigned a location.
Locations must not overlap within each of the following sets:
-
Members within a structure type. This applies to any structure, not just those used in shader stage inputs or outputs.
-
An entry point’s shader stage inputs, i.e. locations for its formal parameters, or for the members of its formal parameters of structure type.
Note: Location numbering is distinct between inputs and outputs: Location numbers for an entry point’s shader stage inputs do not conflict with location numbers for the entry point’s shader stage outputs.
Note: No additional rule is required to prevent location overlap within an entry point’s outputs. When the output is a structure, the first rule above prevents overlap. Otherwise, the output is a scalar or a vector, and can have only a single location assigned to it.
Note: The number of available locations for an entry point is defined by the WebGPU API.
User-defined IO can be mixed with built-in values in the same structure. For example,
// Mixed builtins and user-defined inputs. struct MyInputs { @ location ( 0 ) x :vec4 < f32 > , @ builtin ( front_facing ) y :bool , @ location ( 1 ) @ interpolate ( flat ) z :u32 } struct MyOutputs { @ builtin ( frag_depth ) x :f32 , @ location ( 0 ) y :vec4 < f32 > } @ fragment fn fragShader ( in1 :MyInputs ) ->MyOutputs { // ... }
struct A { @ location ( 0 ) x :f32 , // Invalid, x and y cannot share a location. @ location ( 0 ) y :f32 } struct B { @ location ( 0 ) x :f32 } struct C { // Invalid, structures with user-defined IO cannot be nested. b :B } struct D { x :vec4 < f32 > } @ fragment // Invalid, location cannot be applied to a structure type. fn fragShader1 ( @ location ( 0 ) in1 :D ) { // ... } @ fragment // Invalid, in1 and in2 cannot share a location. fn fragShader2 ( @ location ( 0 ) in1 :f32 , @ location ( 0 ) in2 :f32 ) { // ... } @ fragment // Invalid, location cannot be applied to a structure. fn fragShader3 ( @ location ( 0 ) in1 :vec4 < f32 > ) ->@ location ( 0 ) D { // ... }
10.3.1.4. Interpolation
Authors can control how user-defined IO data is interpolated through the use of the interpolate attribute. WGSL offers two aspects of interpolation to control: the type of interpolation, and the sampling of the interpolation.
The interpolation type must be one of:
-
perspective
- Values are interpolated in a perspective correct manner. -
linear
- Values are interpolated in a linear, non-perspective correct manner. -
flat
- Values are not interpolated. Interpolation sampling is not used withflat
interpolation.
The interpolation sampling must be one of:
-
center
- Interpolation is performed at the center of the pixel. -
centroid
- Interpolation is performed at a point that lies within all the samples covered by the fragment within the current primitive. This value is the same for all samples in the primitive. -
sample
- Interpolation is performed per sample. The fragment shader is invoked once per sample when this attribute is applied.
For user-defined IO of scalar or vector floating-point type:
-
If the interpolation attribute is not specified, then
@interpolate(perspective, center)
is assumed. -
If the interpolation attribute is specified with an interpolation type:
-
If the interpolation type is
flat
, then interpolation sampling must not be specified. -
If the interpolation type is
perspective
orlinear
, then:-
Any interpolation sampling is valid.
-
If interpolation sampling is not specified,
center
is assumed.
-
-
User-defined vertex outputs and fragment inputs of scalar or vector
integer type must always be specified as @interpolate(flat)
.
Interpolation attributes must match between vertex outputs and fragment inputs with the same location assignment within the same pipeline.
10.3.2. Resource Interface
A resource is an object which provides access to data external to a shader stage, and which is not an override-declaration and not a shader stage input or output. Resources are shared by all invocations of the shader.
There are four kinds of resources:
The resource interface of a shader is the set of module-scope resource variables statically accessed by functions in the shader stage.
Each resource variable must be declared with both group and binding attributes. Together with the shader’s stage, these identify the binding address of the resource on the shader’s pipeline. See WebGPU § GPUPipelineLayout.
Two different resource variables in a shader must not have the same group and binding values, when considered as a pair.
10.3.3. Resource Layout Compatibility
WebGPU requires that a shader’s resource interface match the layout of the pipeline using the shader.
It is a pipeline-creation error if a WGSL variable in a resource interface is bound to an incompatible WebGPU resource type or binding type, where compatibility is defined by the following table.
WGSL resource | WebGPU Resource type | WebGPU Binding member | WebGPU Binding type | |
---|---|---|---|---|
uniform buffer | GPUBufferBinding | buffer | GPUBufferBindingType | uniform |
storage buffer with read_write access | storage | |||
storage buffer with read access | read-only-storage | |||
sampler | GPUSampler | sampler | GPUSamplerBindingType | filtering |
non-filtering | ||||
sampler_comparison | comparison | |||
sampled texture | GPUTextureView | texture | GPUTextureSampleType | float |
unfilterable-float | ||||
sint | ||||
uint | ||||
depth | ||||
write-only storage texture | GPUTextureView | storageTexture | GPUStorageTextureAccess | write-only |
external sampled texture | GPUExternalTexture | externalTexture | (not applicable) |
See the WebGPU API specification for interface validation requirements.
11. Language Extensions
The WGSL language is expected to evolve over time.
An extension is a named grouping for a coherent set of modifications to a particular version of the WGSL specification, consisting of any combination of:
-
Addition of new concepts and behaviors via new syntax, including:
-
declarations, statements, attributes, and built-in functions.
-
-
Removal of restrictions in the current specification or in previously published extensions.
-
Syntax for reducing the set of permissible behaviors.
-
Syntax for limiting the features available to a part of the program.
-
A description of how the extension interacts with the existing specification, and optionally with other extensions.
Hypothetically, extensions could be used to:
-
Add numeric scalar types, such as different bit width integers.
-
Add syntax to constrain floating point rounding mode.
-
Add syntax to signal that a shader does not use atomic types.
-
Add new kinds of statements.
-
Add new built-in functions.
-
Add constraints on how shader invocations execute.
-
Add new shader stages.
11.1. Enable Directive
An enable directive indicates that the functionality described by a particular named extension may be used. The grammar rules imply that all enable directives must appear before any declarations or static assertions.
The directive uses a context-dependent name to name the extension.
In particular, an extension name may be spelled the same as a keyword or reserved word, but is not interpreted as any of those.
The valid extensions are listed in § 11.2 Extensions List.
Note: The grammar rule includes the terminating semicolon token,
ensuring the additional functionality is usable only after that semicolon.
Therefore any WGSL implementation can parse the entire enable
directive.
When an implementation encounters an enable directive for an unsupported extension,
the implementation can issue a clear diagnostic.
// Enable a hypothetical extension for arbitrary precision floating point types. enable arbitrary_precision_float ; enable arbitrary_precision_float ; // A redundant enable directive is ok. // Enable a hypothetical extension to control the rounding mode. enable rounding_mode ; // Assuming arbitrary_precision_float enables use of: // - a type f<E,M> // - as a type in function return, formal parameters and let-declarations // - as a type constructor from AbstractFloat // - operands to division operator: / // Assuming @rounding_mode attribute is enabled by the rounding_mode enable directive. @ rounding_mode ( round_to_even ) fn halve_it ( x :f < 8 , 7 > ) ->f < 8 , 7 > { let two = f < 8 , 7 > ( 2 ); return x / 2 ; // uses round to even rounding mode. }
11.2. Extensions List
WGSL extension name | WebGPU extension name | Description |
---|---|---|
f16
| "shader-f16"
| Keyword f16 and any floating point literal with a h suffix is valid if and only if this extension is enabled. Otherwise, using f16 keyword or any floating point literal with a h suffix will result in a shader-creation error.
|
12. WGSL Program
A WGSL program is a sequence of optional directives followed by module scope declarations.
| global_directive * global_decl *
| ';'
12.1. Limits
A WGSL implementation will support shaders that satisfy the following limits. A WGSL implementation may support shaders that go beyond the specified limits.
Note: A WGSL implementation should issue an error if it does not support a shader that goes beyond the specified limits.
Limit | Minimum supported value |
---|---|
Maximum number of members in a structure type | 16383 |
Maximum nesting depth of a composite type | 255 |
Maximum nesting depth of brace-enclosed statements in a function | 127 |
Maximum number of parameters for a function | 255 |
Maximum number of case selector values in a switch statement | 16383 |
Maximum byte-size of an array type instantiated in the function or private address spaces
For the purposes of this limit, bool has a size of 1 byte. | 65535 |
Maximum byte-size of an array type instantiated in the workgroup address space
For the purposes of this limit, bool has a size of 1 byte. | 16384 |
Maximum number of elements in const-expression of array type | 65535 |
13. Execution
§ 1.1 Technical Overview describes how a shader is invoked and partitioned into invocations. This section describes further constraints on how invocations execute, individually and collectively.
13.1. Program Order Within an Invocation
Each statement in a WGSL program may be executed zero or more times during execution. For a given invocation, each execution of a given statement represents a unique dynamic statement instance.
When a statement includes an expression, the statement’s semantics determines:
-
Whether the expression is evaluated as part of statement execution.
-
The relative ordering of evaluation between independent expressions in the statement.
Expression nesting defines data dependencies which must be satisfied to
complete evaluation.
That is, a nested expression must be evaluated before the enclosing expression
can be evaluated.
The order of evaluation for operands of an expression is left-to-right in
WGSL.
For example, foo() + bar()
must evaluate foo()
before bar()
.
See § 7 Expressions.
Statements in a WGSL program are executed in control flow order. See § 8 Statements and § 9.2 Function Calls.
13.2. Uniformity
Collective operations (e.g. barriers and derivatives) require coordination among different invocations running concurrently on the GPU. To ensure correct and portable behavior, WGSL requires that these operations can be statically analyzed to not have any control dependencies such that a non-empty strict subset of invocations will execute the operation (i.e. the operation must be executed in uniform control flow). Non-uniform control dependencies arise from control flow statements whose behavior depends on non-uniform values. These non-uniform values can be traced back to certain sources that are not statically proven to be uniform. These sources include, but are not limited to:
-
Mutable module-scope variables
-
Most built-in values, except num_workgroups and workgroup_id
-
Certain built-in functions (see § 13.2.7 Uniformity Rules for Function Calls)
The remainder of this section is devoted to a description of this static analysis an implementation will perform to validate the WGSL program.
13.2.1. Terminology and Concepts
The following definitions are merely informative, trying to give an intuition for what the analysis in the next subsection is computing. The analysis is what actually defines these concepts, and when a program is valid or breaks the uniformity rules.
For a given group of invocations:
-
If all invocations in a given scope execute as if they are executing in lockstep at a given point in the program, that point is said to have uniform control flow.
-
For a compute shader stage, the scope of uniform control flow is all invocations in the same workgroup.
-
For other shader stages, the scope of uniform control flow is all invocations for that entry point in the same draw command.
-
-
If an expression is executed in uniform control flow, and all invocations compute the same value, it is said to be a uniform value.
-
If invocations hold the same value for a local variable at every point where it is live, it is said to be a uniform variable.
13.2.2. Uniformity Analysis Overview
The remaining subsections specify a static analysis that verifies that collective operations are only executed in uniform control flow.
-
Sound (meaning that it rejects every program that would break the uniformity requirements of builtins)
-
Linear time complexity (in the number of tokens in the program)
-
Refactoring a piece of code into a function, or inlining a function, cannot make a shader invalid if it was valid before the transformation
-
If the analysis refuses a program, it provides a straightforward chain of implications that can be used by the user agent to craft a good error message
Each function is analyzed, verifying that there is a context where it is safe to call this function. It rejects the program as invalid if there is no such context.
At the same time, it computes metadata about the function to help analyze its callers in turn. This means that the call graph must first be built, and functions must be analyzed from the leaves upwards, i.e. from functions that call no function outside the standard library toward the entry point. This way, whenever a function is analyzed, the metadata for all of its callees has already been computed. There is no risk of being trapped in a cycle, as recurrence is forbidden in the language.
Note: Another way of saying the same thing is that we do a topological sort of functions ordered by the "is a (possibly indirect) callee of" partial order, and analyze them in that order.
13.2.3. Analyzing the Uniformity Requirements of a Function
Each function is analyzed in two phases.
The first phase walks over the syntax of the function, building a directed graph along the way based on the rules in the following subsections. The second phase explores that graph, resulting in either rejecting the program, or computing the constraints on calling this function.
-
A specific point of the program must be executed in uniform control flow
-
An expression must be a uniform value
-
A variable must be a uniform variable
An edge can be understood as an implication from the statement corresponding to its source node to the statement corresponding to its target node.
To express that uniformity requirement (e.g. the control flow at the call site of a derivative), we add an edge from RequiredToBeUniform to the corresponding node. One way to understand this, is that RequiredToBeUniform corresponds to the proposition True, so that RequiredToBeUniform -> X is the same as saying that X is true.
Reciprocally, to express that we cannot ensure the uniformity of something (e.g. a variable which holds the thread id), we add an edge from the corresponding node to MayBeNonUniform. One way to understand this, is that MayBeNonUniform corresponds to the proposition False, so that X -> MayBeNonUniform is the same as saying that X is false.
A consequence of this interpretation is that every node reachable from RequiredToBeUniform corresponds to something which is required to be uniform for the program to be valid, and every node from which MayBeNonUniform is reachable corresponds to something whose uniformity we cannot guarantee. It follows that we have a uniformity violation (and thus reject the program) if there is any path from RequiredToBeUniform to MayBeNonUniform.
For each function, two tags are computed:
-
A call site tag describing the control flow uniformity requirements on the call sites of the function, and
-
A function tag describing the function’s effects on uniformity.
Additionally, for each formal parameter of a function, a parameter tag is computed and, if the parameter is a function address space pointer, a pointer parameter tag is also computed. The parameter tag describes the uniformity requirement of the parameter value. The pointer parameter tag describes whether the value stored in the memory pointed to by the parameter becomes non-uniform during the execution of the function call.
Call Site Tag | Description |
---|---|
CallSiteRequiredToBeUniform | The function must only be called from uniform control flow. |
CallSiteNoRestriction | The function may be called from non-uniform control flow. |
Function Tag | Description |
---|---|
ReturnValueMayBeNonUniform | The return value of the function may be non-uniform. |
NoRestriction | The function does not introduce non-uniformity. |
Parameter Tag | Description |
---|---|
ParameterRequiredToBeUniform | The parameter must be a uniform value. |
ParameterRequiredToBeUniformForReturnValue | The parameter must be a uniform value in order for the return value to be a uniform value. |
ParameterNoRestriction | The parameter value has no uniformity requirement. |
Pointer Parameter Tag | Description |
---|---|
PointerParameterMayBeNonUniform | The value stored in the memory pointed to by the pointer parameter may be non-uniform after the function call. |
PointerParameterNoRestriction | The uniformity of the value stored in the memory pointed to by the pointer parameter is unaffected by the function call. |
The following algorithm describes how to compute these tags for a given function:
-
Create nodes called "RequiredToBeUniform", "MayBeNonUniform", "CF_start", and if the function has a return type a node called "Value_return".
-
Create one node for each parameter of the function which we’ll call "arg_i".
-
Desugar pointers as described in § 13.2.4 Pointer Desugaring.
-
For each pointer parameter in the function address space, create a "Value_return_i" node.
-
-
Walk over the syntax of the function, adding nodes and edges to the graph following the rules of the next sections (§ 13.2.5 Function-scope Variable Value Analysis, § 13.2.6 Uniformity Rules for Statements, § 13.2.7 Uniformity Rules for Function Calls, § 13.2.8 Uniformity Rules for Expressions), using "CF_start" as the starting control-flow for the function’s body.
-
For each "Value_return_i" node, record which "arg_i" nodes are reachable from it.
-
Look at which nodes are reachable from "RequiredToBeUniform".
-
If this set includes the node "MayBeNonUniform", then reject the program.
-
If this set includes "CF_start", then the call site tag for the function is CallSiteRequiredToBeUniform.
-
Otherwise, the call site tag is CallSiteNoRestriction.
-
For each "arg_i" in this set, the corresponding parameter tag is ParameterRequiredToBeUniform.
-
Remove from the graph all nodes that have been visited.
-
-
If "Value_return" exists, look at which nodes are reachable from it
-
If this set includes "MayBeNonUniform", then the function tag is ReturnValueMayBeNonUniform.
-
For each "arg_i" in this set, the corresponding parameter tag is ParameterRequiredToBeUniformForReturnValue.
-
-
For each "Value_return_i" node, look at which nodes are reachable from it
-
If this set includes "MayBeNonUniform", the corresponding pointer parameter tag is PointerParameterMayBeNonUniform.
-
Otherwise, the corresponding pointer parameter tag is PointerParameterNoRestriction.
-
-
If the function tag has not been assigned, then it is NoRestriction.
-
For each parameter, if it has not been assigned a parameter tag, then it is ParameterNoRestriction.
Note: The entire graph can be destroyed at this point. The tags listed above are all that we need to remember to analyze callers of this function.
13.2.4. Pointer Desugaring
Each parameter of pointer type in the function address space is desugared as a local variable declaration whose initial value is equivalent to dereferencing the parameter. That is, function address space pointers are viewed as aliases to a local variable declaration.
Each let-declaration, L, with an effective-value-type that is a pointer type is desugared as follows:
-
Visit each subexpression, SE, of the initializer expression of L in a postorder depth-first traversal:
-
If SE invokes the load rule during type checking and the root identifier is a mutable variable then:
-
Create a new let-declaration, LSE, immediately prior to L initialized with SE.
-
Replace SE in L with a value identifier expression composed of LSE.
-
-
-
Record the, possibly updated, initializer expression of L.
-
Substitute each identifier that resolves to L with the recorded initializer expression (wrapped in a parenthesized expression).
This desugaring simplifies the subsequent analyses by exposing the root identifier of the pointer directly at each of its uses.
Note: For the purposes of uniformity analysis type checking is described to occur both before and after this desugaring has occurred.
fn foo ( p :ptr < function , array < f32 , 4 >> , i :i32 ) ->f32 { let p1 = p ; var x = i ; let p2 = & (( * p1 )[ x ]); x = 0 ; * p2 = 5 ; return ( * p1 )[ x ]; } // This is the equivalent version of foo for the analysis. fn foo_for_analysis ( p :ptr < function , array < f32 , 4 >> , i :i32 ) ->f32 { var p_var = * p ; // Introduce variable for p. let p1 = & p_var ; // Use the variable for p1 var x = i ; let x_tmp1 = x ; // Capture value of x let p2 = & ( p_var [ x_tmp1 ]); // Substitute p1’s initializer x = 0 ; * ( & ( p_var [ x_tmp1 ])) = 5 ; // Substitute p2’s initializer return ( * ( & p_var ))[ x ]; // Substitute p1’s initializer }
13.2.5. Function-scope Variable Value Analysis
The value of each function-scope variable at a particular statement can be analyzed in terms of the assignments that reach it and, potentially, its initial value.
An assignment is a full assignment if:
-
The variable’s effective-value-type is a scalar type, or
-
the variable’s effective-value-type is a composite type and each component of the composite is assigned a value.
Otherwise, an assignment is a partial assignment.
A full reference is an expression of reference type that is one of:
-
an identifier x that resolves to a variable, or
-
(
r)
where r is a full reference, or -
*
p where p is a full pointer.
A full pointer is an expression of pointer type that is one of:
-
&
r where r is a full reference, or -
an identifier p that resolves to a let-declaration initialized to a full pointer, or
-
(
p)
where p is a full pointer.
Note: For the purposes of this analysis, we don’t need the case where a formal parameter of pointer type may be a full pointer.
A full reference, and similarly a full pointer, is a memory view for all the memory locations for the corresponding originating variable x.
A reference that is not a full reference is a partial reference. As such, a partial reference is either:
-
a memory view for a strict subset of the memory locations for the corresponding originating variable, or
-
a memory view the with same set of locations as the corresponding originating variable, but with a different store type.
Consider a structure type with a single member, and a variable storing that type:
struct S { member :i32 ; } fn foo () { var v :S ; }
Then v
is a full reference and v.member
is a partial reference.
Their memory views cover the same memory
locations, but the store type for v
is S
and the store type of v.s
is i32
.
A similar situation occurs with arrays having a single element:
fn foo () { var arr :array < i32 , 1 > ; }
Then arr
is a full reference and arr[0]
is a partial reference.
Their memory views cover the same memory
locations, but the store type for arr
is array<i32,1>
and the store type of arr[0]
is i32
.
To simplify analysis, an assignment via any kind of partial reference is treated as if it does not modify every memory location in the associated originating variable. This causes the analysis to be conservative, potentially rejecting more programs than strictly necessary.
An assignment through a full reference is a full assignment.
An assignment through a partial reference is a partial assignment.
When the uniformity rules in subsequent sections refer to the value for a function-scope variable used as an RValue, it means the value of the variable prior to evaluation of the RValue expression. When the uniformity rules in subsequent sections refer to the value for a function-scope variable used as an LValue, it means the value of the variable after execution of the statement the expression appears in.
Multiple assignments to a variable might reach a use of that variable due to control-flow statements or partial assignments. The analysis joins multiple assignments reaching out of control-flow statements by unioning the set of assignments that reach each control-flow exit.
The following table describes the rules for joining assignments.
In the uniformity graph, each join is an edge from the result node to node
representing the source of the value.
It is written in terms of an arbitrary variable x
. It uses the following
notations:
-
Vin(S) is the value of
x
prior the execution of the statement S. -
Vout(S) is the value of
x
after the execution of the statement S. -
Vout(prev) is the value of
x
prior to the execution of the current statement. -
Vin(next) is the value of
x
prior to the execution of the next statement. -
V(e) is a value node for an expression as in the subsequent sections.
-
V(0) is the zero value of
x
's effective-value-type.
Statement | Result | Edges from the Result |
---|---|---|
var x; | Vin(next) | V(0) |
var x = e; | Vin(next) |
V(e)
Note: This is a full assignment to x. |
x = e; | ||
r = e; where r is a full reference to variable x | ||
r = e; where r is a partial reference to variable x | Vout(s) |
V(e), V(prev)
Note: This is a partial assignment to x. Note: Partial assignments include the previous value. The assignment either writes only a subset of the stored components, or the type of the written value differs from the store type of the originating variable. |
s1 s2 where Next is in behavior of s1. Note: s1 often ends in a semicolon. | Vin(s2) | Vout(s1) |
if e s1 else s2 where Next is in the behaviors of both s1 and s2 | Vin(next) | Vout(s1), Vout(s2) |
if e s1 else s2 where Next is in the behavior of s1, but not s2 | Vin(next) | Vout(s1) |
where Next is in the behavior of s2, but not s1 | Vin(next) | Vout(s2) |
loop { s1 continuing { s2 } } | Vin(s1) | Vout(prev), Vout(s2) |
loop { s1 continuing { s2 } } | Vin(s2) | Vout(s1), Vout(si) for all si in s1 whose behavior is {Continue} and transfer control to s2 |
loop { s1 continuing { s2 } } | Vin(next) | Vout(s2), Vout(si) for all si in s1 whose behavior is {Break} and transfer control to next |
switch e { case _: s1 case _: s2 ... case _: s3 } | Vin(si) | Vout(prev) |
switch e { case _: s1 case _: s2 ... case _: s3 } | Vin(next) | Vout(si), for all si whose behavior includes Next or Break, and Vout(sj) for all statements inside sj whose behavior is {Break} and trasfer control to next |
For all other statements (except function calls), Vin(next) is equivalent to Vout(prev).
Note: The same desugarings apply as in statement behavior analysis.
13.2.6. Uniformity Rules for Statements
The rules for analyzing statements take as argument both the statement itself and the node corresponding to control flow at the beginning of it (which we’ll note "CF" below) and return both of the following:
-
A node corresponding to control flow at the exit of it
-
A set of new nodes and edges to add to the graph
In the table below, (CF1, S) => CF2
means "run the analysis on S starting with control flow CF1, apply the required changes to the graph, and name the resulting control flow CF2".
Similarly, (CF1, E) => (CF2, V)
means "run the analysis on expression E, starting with control flow CF1, apply the required changes to the graph, and name the resulting control flow node CF2 and the resulting value node V" (see next section for the analysis of expressions).
We have a similar set of rules for expressions in left-value positions, that we denote by LValue: (CF, E) => (CF, L)
. Instead of computing the node which corresponds to the uniformity of the value, it computes the node which corresponds to the uniformity of the variable we are addressing.
When several edges have to be created we use X -> {Y, Z}
as a short-hand for X -> Y, X -> Z
.
Statement | New nodes | Recursive analyses | Resulting control flow node | New edges |
---|---|---|---|---|
{s} | (CF, s) => CF' | CF' | ||
s1 s2, with Next in behavior of s1 Note: s1 often ends in a semicolon. | (CF, s1) => CF1 (CF1, s2) => CF2 | CF2 | ||
s1 s2, without Next in behavior of s1 Note: s1 often ends in a semicolon. |
(CF, s1) => CF1 Note: s2 is statically unreachable and not recursively analyzed. s2 does not contribute to the uniformity analysis. | CF1 | ||
if e s1 else s2 with behavior {Next} | (CF, e) => (CF', V) (V, s1) => CF1 (V, s2) => CF2 | CF | ||
if e s1 else s2 with another behavior | CFend | CFend | CFend -> {CF1, CF2} | |
loop {s1 continuing {s2}} with behavior {Next} | CF' | (CF', s1) => CF1 (CF1, s2) => CF2 | CF | CF' -> {CF2, CF} |
loop {s1 continuing {s2}} with another behavior | CF' | |||
loop {s1} with behavior {Next} | CF' | (CF', s1) => CF1 | CF | CF' -> {CF1, CF} |
loop {s1} with another behavior | CF' | |||
switch e case _: s_1 .. case _: s_n with behavior {Next} | (CF, e) => (CF', V) (V, s_1) => CF_1 ... (V, s_n) => CF_n | CF | ||
switch e case _: s_1 .. case _: s_n with another behavior | CFend | CFend | CFend -> {CF_1, ..., CF_n} | |
var x: T; | CF | Note: If x is a function address space variable, CF is used as the zero value initializer in the value analysis. | ||
break; | ||||
continue; | ||||
break if e; | (CF, e) => (CF', V) | CF' | ||
return; | CF | For each function address space pointer parameter i, Value_return_i -> Vin(prev) (see § 13.2.5 Function-scope Variable Value Analysis) | ||
return e; | (CF, e) => (CF', V) | CF' |
Value_return -> V
For each function address space pointer parameter i, Value_return_i -> Vin(prev) (see § 13.2.5 Function-scope Variable Value Analysis) | |
e2 = e1; | (CF, e1) => (CF1, V1) LValue: (CF1, e2) => (CF2, L2) | CF2 |
L2 -> V1
Note: L2 is the result value from the value analysis. | |
_ = e | (CF, e) => (CF', V) | CF' | ||
let x = e; | (CF, e) => (CF', V) | CF' | ||
var x = e; | (CF, e) => (CF', V) | CF' | Note: If x is a function address space variable, V is used as the result value in the value analysis. |
Analysis of for and while loops follows from their respective desugaring translations to loop statements.
In switch, a default-alone clause block is treated exactly like a case clause with regards to uniformity.
To maximize performance, implementations often try to minimize the amount of non-uniform control flow. However, the points at which invocations can be said to be uniform varies depending on a number of factors. WGSL’s static analysis conservatively assumes a return to uniform control flow occuring at the end of if, switch, and loop statements if the behavior for the statement is {Next}. This is modeled in the preceding table as the resulting control flow node being the same as input control flow node.
13.2.7. Uniformity Rules for Function Calls
The most complex rule is for function calls:
-
For each argument, apply the corresponding expression rule, with the control flow at the exit of the previous argument (using the control flow at the beginning of the function call for the first argument). Name the corresponding value nodes "arg_i" and the corresponding control flow nodes "CF_i"
-
Create two new nodes, named "Result" and "CF_after"
-
If the call site tag of the function is CallSiteRequiredToBeUniform, then add an edge from RequiredToBeUniform to the last CF_i
-
Otherwise add an edge from CF_after to the last CF_i
-
If the function tag is ReturnValueMayBeNonUniform, then add an edge from Result to MayBeNonUniform
-
Add an edge from Result to CF_after
-
For each argument i:
-
If the corresponding parameter tag is ParameterRequiredToBeUniform, then add an edge from RequiredToBeUniform to arg_i
-
Otherwise if the parameter tag is ParameterRequiredToBeUniformForReturnValue, then add an edge from Result to arg_i
-
If the corresponding parameter has a pointer parameter tag of PointerParameterMayBeNonUniform, then add an edge from Vout(call) to MayBeNonUniform
-
If the parameter is a pointer in the function address space, add an edge from Vout(call) to each corresponding arg_i for the reachable parameters recorded previously
-
Note: Refer to § 13.2.5 Function-scope Variable Value Analysis for the definition of Vout(call).
Most built-in functions have tags of:
-
A function tag of NoRestriction.
-
For each parameter, a tag of ParameterRequiredToBeUniformForReturnValue.
Here is the list of exceptions:
-
All functions in § 17.9 Synchronization Built-in Functions have a call site tag of CallSiteRequiredToBeUniform.
-
The parameter
p
in workgroupUniformLoad has a parameter tag of ParameterRequiredToBeUniform.
-
-
All functions in § 17.4 Derivative Built-in Functions, § 17.5.8 textureSample, § 17.5.9 textureSampleBias, and § 17.5.10 textureSampleCompare have a call site tag of CallSiteRequiredToBeUniform and a function tag of ReturnValueMayBeNonUniform.
-
arrayLength has a call site tag of CallSiteNoRestriction, a function tag of NoRestriction and the input parameter
p
has a parameter tag of ParameterNoRestriction
Note: A WGSL implementation will ensure that if control flow prior to a function call is uniform, it will also be uniform after the function call.
13.2.8. Uniformity Rules for Expressions
The rules for analyzing expressions take as argument both the expression itself and the node corresponding to control flow at the beginning of it (which we’ll note "CF" below) and return the following:
-
A node corresponding to control flow at the exit of it
-
A node corresponding to its value
-
A set of new nodes and edges to add to the graph
Expression | New nodes | Recursive analyses | Resulting control flow node, value node | New edges |
---|---|---|---|---|
e1 || e2 | (CF, e1) => (CF1, V1) (V1, e2) => (CF2, V2) | CF, V2 | ||
e1 && e2 | ||||
Literal | CF, CF | |||
identifier resolving to function-scope variable "x", where the identifier appears as the root identifier of a memory view expression, MVE, and the load rule is invoked on MVE during type checking | Result | X is the node corresponding to the value of "x" at the input to the statement containing this expression | CF, Result |
Result -> {CF, X}
Note: X is equivalent to Vout(prev) for "x" |
identifier resolving to function-scope variable "x", where the identifier appears as the root identifier of a memory view expression, MVE, and the load rule is not invoked on MVE during type checking | CF, CF | |||
identifier resolving to const-declaration, override-declaration, let-declaration, or non-built-in formal parameter "x" | Result | X is the node corresponding to "x" | CF, Result | Result -> {CF, X} |
identifier resolving to uniform built-in value "x" | CF, CF | |||
identifier resolving to non-uniform built-in value "x" | CF, MayBeNonUniform | |||
identifier resolving to read-only module-scope variable "x" | CF, CF | |||
identifier resolving to non-read-only module-scope variable "x" where the identifier appears as the root identifier of a memory view expression, MVE, and the load rule is invoked on MVE during type checking | CF, MayBeNonUniform | |||
identifier resolving to non-read-only module-scope variable "x" where the identifier appears as the root identifier of a memory view expression, MVE, and the load rule is not invoked on MVE during type checking | CF,CF | |||
op e, where op is a unary operator | (CF, e) => (CF', V) | CF', V | ||
e.field | ||||
e1 op e2, where op is a non-short-circuiting binary operator | Result | (CF, e1) => (CF1, V1) (CF1, e2) => (CF2, V2) | CF2, Result | Result -> {V1, V2} |
e1[e2] |
The following built-in input variables are considered uniform:
All other ones (see § 16 Built-in Values) are considered non-uniform.
Note: An author should avoid grouping the uniform built-in values together with other non-uniform inputs because the analysis does not analyze the components of a composite type separately.
Expression | New nodes | Recursive analyses | Resulting control flow node, variable node | New edges |
---|---|---|---|---|
identifier resolving to function-scope variable "x" | Result | X is the node corresponding to the value of "x" at the output of the statement containing this expression. | CF, Result |
Result -> {CF, X}
Note: X is equivalent to Vin(next) for "x" |
identifier resolving to const-declaration, override-declaration, let-declaration, or formal parameter "x" | X is the node corresponding to "x" | CF, X | ||
identifier resolving to module-scope variable "x" | CF, MayBeNonUniform | |||
e.field | LValue: (CF, e) => (CF1, L1) | CF1, L1 | ||
e1[e2] | LValue: (CF, e1) => (CF1, L1) (CF1, e2) => (CF2, V2) | CF2, L1 | L1 -> V2 |
13.2.9. Annotating the Uniformity of Every Point in the Control-flow
This entire subsection is non-normative.
If implementers want to provide developers with a diagnostic mode that shows for each point in the control-flow of the entire shader whether it is uniform or not (and thus whether it would be valid to call a function that requires uniformity there), we suggest the following:
-
Run the (mandatory, normative) analysis described in the previous subsections, keeping the graph for every function.
-
Reverse all edges in all of those graphs
-
Go through each function, starting with the entry point and never visiting a function before having visited all of its callers:
-
Add an edge from MayBeNonUniform to every argument that was non-uniform in at least one caller
-
Add an edge from MayBeNonUniform to CF_start if the function was called in non-uniform control-flow in at least one caller
-
Look at which nodes are reachable from MayBeNonUniform. Every node visited is an expression or point in the control-flow whose uniformity cannot be proven by the analysis
-
Any node which is not visited by these reachability analyses can be proven to be uniform by the analysis (and so it would be safe to call a derivative or similar function there).
Note: The bottom-up analysis is still required, as it lets us know what edges to add to the graphs when encountering calls.
13.2.10. Examples
The graphs in the subsequent example use the following conventions for nodes:
-
Rectangles represent value nodes.
-
Rounded rectangles represent control flow nodes.
13.2.10.1. Invalid textureSample
Function Call
This example shows an invalid use of a textureSample built-in function call.
The function call is made within an if statement whose condition depends on a
non-uniform value (i.e. the built-in value position
).
The invalid dependency chain is highlighted in red.
@ group ( 0 ) @ binding ( 0 ) var t :texture_2d < f32 > ; @ group ( 0 ) @ binding ( 1 ) var s :sampler ; @ fragment fn main ( @ builtin ( position ) pos :vec4 < f32 > ) { if ( pos . x < 0.5 ) { // Invalid textureSample function call. _ = textureSample ( t , s , pos . xy ); } }
The example also shows that uniformity of the control flow after the if
statement is the same as the uniformity prior to the if statement (CF_return
being connected to CF_start).
That is, the control flow is once again uniform after the if statement (because
it is guaranteed to start as uniform control flow at the beginning of the entry
point).
If the textureSample
function call had been moved outside the if statement
the program would have been valid.
Likewise, if the condition of the if statement were a uniform value (e.g. each
invocation read the same value from a uniform buffer), the program would
also have been valid.
13.2.10.2. Function-scope Variable Uniformity
This example shows both a valid and an invalid barrier function call that depend on the value of a
function-scope variable.
The workgroupBarrier
is invalid because the value of x
is derived from the
mutable module-scope variable a
.
The storageBarrier
is valid because the value of x
is derived from the
immutable module-scope variable b
.
This example highlights the value analysis' ability to separate different periods of uniformity in a function-scope
variable’s lifetime.
This example also clearly shows that control flow becomes uniform again after
the end of the first if statement.
We know this because that section of the graph is independent from the second
if statement.
@ group ( 0 ) @ binding ( 0 ) var < storage , read_write > a :i32 ; @ group ( 0 ) @ binding ( 1 ) var < uniform > b :i32 ; @ compute @ workgroup_size ( 16 , 1 , 1 ) fn main () { var x :i32 ; x = a ; if x > 0 { // Invalid barrier function call. workgroupBarrier (); } x = b ; if x < 0 { // Valid barrier function call. storageBarrier (); } }
Note: The subgraphs are only included in the example for ease of understanding.
13.2.10.3. Composite Value Analysis Limitations
One limitation of the uniformity analysis is that it does not track the components of a composite value independently. That is, any non-uniform component value will cause the analysis to treat the entire composite value as non-uniform. This example illustrates this issue and a potential workaround that shader authors can employ to avoid this limitation.
struct Inputs { // workgroup_id is a uniform built-in value. @ builtin ( workgroup_id ) wgid :vec3 < u32 > , // local_invocation_index is a non-uniform built-in value. @ builtin ( local_invocation_index ) lid :u32 } @ compute @ workgroup_size ( 16 , 1 , 1 ) fn main ( inputs :Inputs ) { // This comparison is always uniform, // but the analysis cannot determine that. if inputs . wgid . x == 1 { workgroupBarrier (); } }
The easiest way to work around this limitation of the analysis is to split the composite up so that values that are known to be uniform are separate from value that are known to be non-uniform. In the alternative WGSL below, splitting the two built-in values into separate parameters satisfies the uniformity analysis. This can be seen by the lack of a path from RequiredToBeUniform to MayBeNonUniform in the graph.
@ compute @ workgroup_size ( 16 , 1 , 1 ) fn main ( @ builtin ( workgroup_id ) wgid :vec3 < u32 > , @ builtin ( local_invocation_index ) lid :u32 ) { // The uniformity analysis can now correctly determine this comparison is // always uniform. if wgid . x == 1 { // Valid barrier function call. workgroupBarrier (); } }
13.2.10.4. Uniformity in a Loop
In this example, there is an invalid workgroupBarrier
function call in a
loop.
The non-uniform built-in value local_invocation_index
is the ultimate cause
despite the fact that it appears after the barrier in the loop.
This occurs, because on later iterations some of the invocations in the
workgroup will have exited the loop prematurely while others attempt to execute
the barrier.
The analysis models the inter-iteration dependencies as an edge, where the control
at the start of the loop body (CF_loop_body) depends on the control flow at the
end of the loop body (CF_after_if).
@ compute @ workgroup_size ( 16 , 1 , 1 ) fn main ( @ builtin ( local_invocation_index ) lid :u32 ) { for ( var i = 0 u ; i < 10 ; i ++ ) { workgroupBarrier (); if ( lid + i ) > 7 { break ; } } }
13.2.10.5. User-defined Function Calls
This example is modification of the first example, but
uses a user-defined function call.
The analysis tags both parameters of scale
as ParameterRequiredToBeUniformForReturnValue.
This leads to the path in main
between the return value of the scale
function call and the position
built-in value.
That path is a subpath of the overall invalid path from RequiredToBeUniform to
MayBeNonUniform.
fn scale ( in1 :f32 , in2 :f32 ) ->f32 { let v = in1 / in2 ; return v ; } @ group ( 0 ) @ binding ( 0 ) var t :texture_2d < f32 > ; @ group ( 0 ) @ binding ( 1 ) var s :sampler ; @ fragment fn main ( @ builtin ( position ) pos :vec4 < f32 > ) { let tmp = scale ( pos . x , 0.5 ); if tmp > 1.0 { _ = textureSample ( t , s , pos . xy ); } }
Note: The subgraphs are only included in the example for ease of understanding.
13.3. Compute Shaders and Workgroups
A workgroup is a set of invocations which concurrently execute a compute shader stage entry point, and share access to shader variables in the workgroup address space.
The workgroup grid for a compute shader is the set of points with integer coordinates (i,j,k) with:
-
0 ≤ i < workgroup_size_x
-
0 ≤ j < workgroup_size_y
-
0 ≤ k < workgroup_size_z
where (workgroup_size_x, workgroup_size_y, workgroup_size_z) is the value specified for the workgroup_size attribute of the entry point.
There is exactly one invocation in a workgroup for each point in the workgroup grid.
An invocation’s local invocation ID is the coordinate triple for the invocation’s corresponding workgroup grid point.
When an invocation has local invocation ID (i,j,k), then its local invocation index is
i + (j * workgroup_size_x) + (k * workgroup_size_x * workgroup_size_y)
Note that if a workgroup has W invocations, then each invocation I the workgroup has a unique local invocation index L(I) such that 0 ≤ L(I) < W, and that entire range is covered.
A compute shader begins execution when a WebGPU implementation removes a dispatch command from a queue and begins the specified work on the GPU. The dispatch command specifies a dispatch size, which is an integer triple (group_count_x, group_count_y, group_count_z) indicating the number of workgroups to be executed, as described in the following.
The compute shader grid for a particular dispatch is the set of points with integer coordinates (CSi,CSj,CSk) with:
-
0 ≤ CSi < workgroup_size_x × group_count_x
-
0 ≤ CSj < workgroup_size_y × group_count_y
-
0 ≤ CSk < workgroup_size_z × group_count_z
where workgroup_size_x, workgroup_size_y, and workgroup_size_z are as above for the compute shader entry point.
The work to be performed by a compute shader dispatch is to execute exactly one invocation of the entry point for each point in the compute shader grid.
An invocation’s global invocation ID is the coordinate triple for the invocation’s corresponding compute shader grid point.
The invocations are organized into workgroups, so that each invocation (CSi, CSj, CSk) is identified with the workgroup grid point
( CSi mod workgroup_size_x , CSj mod workgroup_size_y , CSk mod workgroup_size_z )
in workgroup ID
( ⌊ CSi ÷ workgroup_size_x ⌋, ⌊ CSj ÷ workgroup_size_y ⌋, ⌊ CSk ÷ workgroup_size_z ⌋).
WebGPU provides no guarantees about:
-
Whether invocations from different workgroups execute concurrently. That is, you cannot assume more than one workgroup executes at a time.
-
Whether, once invocations from a workgroup begin executing, that other workgroups are blocked from execution. That is, you cannot assume that only one workgroup executes at a time. While a workgroup is executing, the implementation may choose to concurrently execute other workgroups as well, or other queued but unblocked work.
-
Whether invocations from one particular workgroup begin executing before the invocations of another workgroup. That is, you cannot assume that workgroups are launched in a particular order.
13.4. Fragment Shaders and Helper Invocations
Invocations in the fragment shader stage are divided into 2x2 grids of invocations with neighbouring positions in the X and Y dimensions. Each of these grids is referred to as a quad. Quads can collaborate in some collective operations (see § 13.5.2 Derivatives).
Ordinarily, fragment processing creates one invocation of a fragment shader for each RasterizationPoint produced by rasterization. Sometimes there may be insufficient RasterizationPoints to fully populate a quad, for example at the edge of a graphics primitive. When a quad has only 1, 2, or 3 invocations corresponding to RasterizationPoints, fragment processing will create a helper invocation for each unpopulated position in the quad.
Helper invocations do not have observable effects, except that they help compute derivatives. As such, helper invocations are subject to the following restrictions:
-
No write accesses (see also § 14.1 Memory Operation) will be performed on the storage, workgroup, or handle address spaces.
-
Atomic built-in functions will return indeterminate results.
-
The Entry point return value will not be further processed downstream in the GPURenderPipeline.
If all of the invocations in a quad become helper invocations (e.g. due to executing a discard statement), execution of the quad may be terminated; however, such termination is not considered to produce non-uniform control flow.
13.5. Collective Operations
13.5.1. Barriers
A barrier is a synchronization built-in function that orders memory operations in a program. A control barrier is executed by all invocations in the same workgroup as if it were executed concurrently. As such, control barriers must only be executed in uniform control flow in a compute shader.
13.5.2. Derivatives
A partial derivative is the rate of change of a value along an axis. Fragment shader invocations within the same quad collaborate to compute approximate partial derivatives.
Partial derivatives of the fragment coordinate are computed implicitly as part of operation of the following built-in functions:
For these, the derivatives help determine the mip levels of texels to be sampled, or in the case of textureSampleCompare
, sampled and compared against a reference value.
Partial derivatives of invocation-specified values are computed by the built-in functions described in § 17.4 Derivative Built-in Functions:
-
dpdx
,dpdxCoarse
, anddpdxFine
compute partial derivatives along the x axis. -
dpdy
,dpdyCoarse
, anddpdyFine
compute partial derivatives along the y axis. -
fwidth
,fwidthCoarse
, andfwidthFine
compute the Manhattan metric over the associated x and y partial derivatives.
Because neighbouring invocations collaborate to compute derivatives, these functions must only be invoked in uniform control flow in a fragment shader.
13.6. Floating Point Evaluation
WGSL follows the IEEE-754 standard for floating point computation with the following exceptions:
-
No floating point exceptions are generated.
-
Signaling NaNs may not be generated. Any signaling NaN may be converted to a quiet NaN.
-
Implementations may assume that NaNs and infinities are not present at runtime.
-
In such an implementation, when an expression evaluation would produce an infinity or a NaN, an indeterminate value of the target type is produced instead.
-
It is a shader-creation error if any const-expression of floating-point type evaluates to NaN or infinity.
-
It is a pipeline-creation error if any override-expression of floating-point type evaluates to NaN or infinity.
-
Note: This means some functions (e.g.
min
andmax
) may not return the expected result due to optimizations about the presence of NaNs and infinities.
-
-
Implementations may ignore the sign of a zero. That is, a zero with a positive sign may behave like a zero a with a negative sign, and vice versa.
-
No rounding mode is specified.
-
To flush to zero is to replace a denormalized value for a floating point type with a zero value of that type.
-
Any inputs or outputs of operations listed in § 13.6.1 Floating Point Accuracy may be flushed to zero.
-
Additionally, intermediate values of operations listed in § 17.7 Data Packing Built-in Functions or § 17.8 Data Unpacking Built-in Functions may be flushed to zero.
-
Other operations are required to preserve denormalized numbers.
-
-
The accuracy of operations is given in § 13.6.1 Floating Point Accuracy.
13.6.1. Floating Point Accuracy
-
x, when x is in T,
-
Otherwise:
-
the smallest value in T greater than x, or
-
the largest value in T less than x.
-
That is, the result may be rounded up or down: WGSL does not specify a rounding mode.
Note: Floating point types include positive and negative infinity, so the correctly rounded result may be finite or infinite.
The units in the last place, ULP, for a floating point
number x
is the minimum distance between two non-equal floating point numbers a
and b
such that a
≤ x
≤ b
(i.e. ulp(x) =
min
a,b
|b - a|
).
In the following tables, the accuracy of an operation is provided among five possibilities:
-
Correct result (for non-floating point return values).
-
A relative error bound expressed as ULP.
-
A function that the accuracy is inherited from. That is, the accuracy is equal to implementing the operation in terms of the derived function.
-
An absolute error bound.
For any accuracy values specified over a range, the accuracy is undefined for results outside that range.
If an allowable return value for any operation is greater in magnitude than the largest representable finite floating-point value, then that operation may additionally return either the infinity with the same sign or the largest finite value with the same sign.
Expression | Accuracy for f32 | Accuracy for f16 |
---|---|---|
x + y
| Correctly rounded | |
x - y
| Correctly rounded | |
x * y
| Correctly rounded | |
x / y
| 2.5 ULP for |y| in the range [2-126, 2126]
| 2.5 ULP for |y| in the range [2-14, 214]
|
x % y
| Derived from x - y * trunc(x/y)
| |
-x
| Correctly rounded | |
x == y
| Correct result | |
x != y
| Correct result | |
x < y
| Correct result | |
x <= y
| Correct result | |
x > y
| Correct result | |
x >= y
| Correct result |
Built-in Function | Accuracy for f32 | Accuracy for f16 |
---|---|---|
abs(x)
| Correctly rounded | |
acos(x)
| Inherited from atan2(sqrt(1.0 - x * x), x)
| |
acosh(x)
| Inherited from log(x + sqrt(x * x - 1.0))
| |
asin(x)
| Inherited from atan2(x, sqrt(1.0 - x * x))
| |
asinh(x)
| Inherited from log(x + sqrt(x * x + 1.0))
| |
atan(x)
| 4096 ULP | 5 ULP |
atan2(y, x)
| When y is finite and normal, inherited from atan(y / x)
| |
atanh(x)
| Inherited from log( (1.0 + x) / (1.0 - x) ) * 0.5
| |
ceil(x)
| Correctly rounded | |
clamp(x,low,high)
| Correctly rounded. Note: The infinitely precise result is computed using either the min-max formulation, or the median-of-3-values formulation. These may differ when low > high .
| |
cos(x)
| Absolute error at most 2-11 when x is in the interval [-π, π]
| Absolute error at most 2-7 when x is in the interval [-π, π]
|
cosh(x)
| Inherited from (exp(x) + exp(-x)) * 0.5
| |
cross(x, y)
| Inherited from (x[i] * y[j] - x[j] * y[i])
| |
degrees(x)
| Inherited from x * 57.295779513082322865
| |
distance(x, y)
| Inherited from length(x - y)
| |
dot(x, y)
| Inherited from sum of x[i] * y[i]
| |
exp(x)
| 3 + 2 * |x| ULP
| 1 + 2 * |x| ULP
|
exp2(x)
| 3 + 2 * |x| ULP
| 1 + 2 * |x| ULP
|
faceForward(x, y, z)
| Inherited from select(-x, x, dot(z, y) < 0.0)
| |
floor(x)
| Correctly rounded | |
fma(x, y, z)
| Inherited from x * y + z
| |
fract(x)
| Inherited from x - floor(x)
| |
frexp(x)
| Correctly rounded | |
inverseSqrt(x)
| 2 ULP | |
ldexp(x, y)
| Correctly rounded | |
length(x)
| Inherited from sqrt(dot(x, x)) in the vector case, and sqrt(x*x) in the scalar case.
| |
log(x)
| Absolute error at most 2-21 when x is in the interval [0.5, 2.0].3 ULP when x is outside the interval [0.5, 2.0]. | Absolute error at most 2-7 when x is in the interval [0.5, 2.0].3 ULP when x is outside the interval [0.5, 2.0]. |
log2(x)
| Absolute error at most 2-21 when x is in the interval [0.5, 2.0].3 ULP when x is outside the interval [0.5, 2.0]. | Absolute error at most 2-7 when x is in the interval [0.5, 2.0].3 ULP when x is outside the interval [0.5, 2.0]. |
max(x, y)
| Correctly rounded | |
min(x, y)
| Correctly rounded | |
mix(x, y, z)
| Inherited from x * (1.0 - z) + y * z
| |
modf(x)
| Correctly rounded | |
normalize(x)
| Inherited from x / length(x)
| |
pack4x8snorm(x)
| Correctly rounded intermediate value. Correct result. | |
pack4x8unorm(x)
| Correctly rounded intermediate value. Correct result. | |
pack2x16snorm(x)
| Correctly rounded intermediate value. Correct result. | |
pack2x16unorm(x)
| Correctly rounded intermediate value. Correct result. | |
pack2x16float(x)
| Correctly rounded intermediate value. Correct result. | |
pow(x, y)
| Inherited from exp2(y * log2(x))
| |
quantizeToF16(x)
| Correctly rounded | |
radians(x)
| Inherited from x * 0.017453292519943295474
| |
reflect(x, y)
| Inherited from x - 2.0 * dot(x, y) * y
| |
refract(x, y, z)
| Inherited from z * x - (z * dot(y, x) + sqrt(k)) * y ,where k = 1.0 - z * z * (1.0 - dot(y, x) * dot(y, x)) If k < 0.0 the result is precisely 0.0
| |
round(x)
| Correctly rounded | |
sign(x)
| Correctly rounded | |
sin(x)
| Absolute error at most 2-11 when x is in the interval [-π, π]
| Absolute error at most 2-7 when x is in the interval [-π, π]
|
sinh(x)
| Inherited from (exp(x) - exp(-x)) * 0.5
| |
saturate(x)
| Correctly rounded | |
smoothstep(low, high, x)
| Inherited from t * t * (3.0 - 2.0 * t) ,where t = clamp((x - low) / (high - low), 0.0, 1.0)
| |
sqrt(x)
| Inherited from 1.0 / inverseSqrt(x)
| |
step(edge, x)
| Correctly rounded | |
tan(x)
| Inherited from sin(x) / cos(x)
| |
tanh(x)
| Inherited from sinh(x) / cosh(x)
| |
trunc(x)
| Correctly rounded | |
unpack4x8snorm(x)
| Correctly rounded | |
unpack4x8unorm(x)
| Correctly rounded | |
unpack2x16snorm(x)
| Correctly rounded | |
unpack2x16unorm(x)
| Correctly rounded | |
unpack2x16float(x)
| Correctly rounded |
Reassociation is the reordering of operations in an expression such that the answer is the same if computed exactly. For example:
-
(a + b) + c
reassociates toa + (b + c)
-
(a - b) + c
reassociates to(a + c) - b
-
(a * b) / c
reassociates to(a / c) * b
However, the result may not be the same when computed in floating point. The reassociated result may be inaccurate due to approximation, or may trigger an overflow or NaN when computing intermediate results.
An implementation may reassociate operations.
An implementation may fuse operations if the transformed expression is at least as accurate as the original formulation. For example, some fused multiply-add implementations can be more accurate than performing a multiply followed by an addition.
13.6.2. Floating Point Conversion
In this section, a floating point type may be any of:
-
A hypothetical type corresponding to a binary format defined by the IEEE-754 floating point standard.
Note: Recall that the f32 WGSL type corresponds to the IEEE-754 binary32 format, and the f16 WGSL type corresponds to the IEEE-754 binary16 format.
When converting a floating point scalar value to an integer scalar type:
-
If the original value is exactly representable in the destination type, then the result is that value.
-
Otherwise, the original value is rounded toward zero.
-
If the rounded value is exactly representable in the destination type, the result is that value.
-
Otherwise, the result is the value in the destination type that is closest to the rounded value.
-
Note: In other words, floating point to integer conversion rounds toward zero, then saturates.
Note: The result in the overflow case may not yield the value with the maximum magnitude in the target type, because
that value may not be exactly representable in the original floating point type.
For example, the maximum value in u32 is 4294967295, but 4294967295.0 is not exactly representable in f32
.
For any real number x with 4294967040 ≤ x ≤ 4294967295,
the f32 value nearest to x is either larger than 429467295 or rounds down to 4294967040.
Therefore the maximum u32 value resulting from a floating point conversion is 4294967040u.
When converting a value to a floating point type:
-
If the original value is exactly representable in the destination type, then the result is that value.
-
Additionally, if the original value is zero and of integer scalar type, then the resulting value has a zero sign bit.
-
-
Otherwise, the original value is not exactly representable.
-
If the original value is different from but lies between two adjacent finite values representable in the destination type, then the result is one of those two values. WGSL does not specify whether the larger or smaller representable value is chosen, and different instances of such a conversion may choose differently.
-
Otherwise, the original value lies outside the finite range of the destination type:
-
A shader-creation error results if the original expression is a const-expression.
-
A pipeline-creation error results if the original expression is an override-expression.
-
Otherwise the conversion proceeds as follows:
-
Set X to the original value.
-
If the source type is a floating point type with more mantissa bits than the destination type, the extra mantissa bits of the source value may be discarded (i.e. treated as if they are 0). Update X accordingly.
-
If X is the most-positive or most-negative normal value of the destination type, then the result is X.
-
Otherwise, the result is the infinity value of the destination type, with the same sign as X.
-
-
-
Otherwise, if the original value is a NaN for the source type, then the result is a NaN in the destination type.
-
NOTE: An integer value may lie between two adjacent representable floating point values. In particular, the f32 type uses 23 explicit fractional bits. Additionally, when the floating point value is in the normal range (the exponent is neither extreme value), then the mantissa is the set of fractional bits together with an extra 1-bit at the most significant position at bit position 23. Then, for example, integers 228 and 1+228 both map to the same floating point value: the difference in the least significant 1 bit is not representable by the floating point format. This kind of collision occurs for pairs of adjacent integers with a magnitude of at least 225.
Note: The original value is always within range of the destination type when the original type is one of i32 or u32 and the destination type is f32.
Note: The original value is always within range of the destination type when the source type is a floating point type with fewer exponent and mantissa bits than the target floating point type.
Check behavior of the f32 to f16 conversion for numbers just beyond the max normal f16 values. I’ve written what an NVIDIA GPU does. See https://github.com/google/amber/pull/918 for an executable test case.
14. Memory Model
In general, WGSL follows the Vulkan Memory Model. The remainder of this section describes how WGSL programs map to the Vulkan Memory Model.
Note: The Vulkan Memory Model is a textual version of a formal Alloy model.
14.1. Memory Operation
In WGSL, a read access is equivalent to a memory read operation in the Vulkan Memory Model. A WGSL, a write access is equivalent to a memory write operation in the Vulkan Memory Model.
A read access occurs when an invocation executes one of the following:
-
An evaluation of the Load Rule
-
Any texture builtin function except:
-
Any atomic built-in function except atomicStore
A write access occurs when an invocation executes one of the following:
-
An assignment statement
-
A textureStore built-in function
-
Any atomic built-in function except atomicLoad
-
atomicCompareExchangeWeak only performs a write if the
exchanged
member of the returned result istrue
-
Atomic read-modify-write built-in functions perform a single memory operation that is both a read access and a write access.
Read and write accesses do not occur under any other circumstances. Read and write accesses are collectively known as memory operations in the Vulkan Memory Model.
A memory operation accesses exactly the set of locations associated with the particular memory view used in the operation. For example, a memory read that accesses a u32 from a struct containing multiple members, only reads the memory locations associated with that u32 member.
struct S { a :f32 , b :u32 , c :f32 } @ group ( 0 ) @ binding ( 0 ) var < storage > v :S ; fn foo () { let x = v . b ; // Does not access memory locations for v.a or v.c. }
14.2. Memory Model Reference
Each module-scope resource variable forms a memory model reference form the unique group and binding pair. Each other variable (i.e. variables in the function, private, and workgroup address spaces) forms a unique memory model reference for the lifetime of the variable.
14.3. Scoped Operations
When an invocation performs a scoped operation, it will affect one or two sets of invocations. These sets are the memory scope and the execution scope. The memory scope specifies the set of invocations that will see any updates to memory contents affected by the operation. For synchronization built-in functions, this also means that all affected memory operations program ordered before the function are visible to affected operations program ordered after the function. The execution scope specifies the set of invocations which may participate in an operation (see § 13.5 Collective Operations).
Atomic built-in functions map to atomic operations whose memory scope is:
-
Workgroup
if the atomic pointer is in the workgroup address space -
QueueFamily
if the atomic pointer is in the storage address space
Synchronization built-in functions map to control
barriers whose execution and memory scopes are Workgroup
.
Implicit and explicit derivatives have an implicit quad execution scope.
Note: If the Vulkan memory model is not enabled in generated shaders, Device
scope should be used instead of QueueFamily
.
14.4. Memory Semantics
All Atomic built-in functions use Relaxed
memory semantics and, thus, no address space
semantics.
workgroupBarrier uses AcquireRelease
memory semantics and WorkgroupMemory
semantics. storageBarrier uses AcquireRelease
memory semantics and UniformMemory
semantics.
Note: A combined workgroupBarrier
and storageBarrier
uses AcquireRelease
ordering semantics and both WorkgroupMemory
and UniformMemory
memory
semantics.
Note: No atomic or synchronization built-in functions use MakeAvailable
or MakeVisible
semantics.
14.5. Private vs Non-private
All non-atomic read accesses in the storage or workgroup address spaces are considered non-private and correspond to read operations with NonPrivatePointer | MakePointerVisible
memory operands with the Workgroup
scope.
All non-atomic write accesses in the storage or workgroup address spaces are considered non-private and correspond to write operations
with NonPrivatePointer | MakePointerAvailable
memory operands with the Workgroup
scope.
https://github.com/gpuweb/gpuweb/issues/1621
15. Keyword and Token Summary
15.1. Keyword Summary
15.1.1. Type-defining Keywords
-
array
-
atomic
-
bool
-
f32
-
f16
-
i32
-
mat2x2
-
mat2x3
-
mat2x4
-
mat3x2
-
mat3x3
-
mat3x4
-
mat4x2
-
mat4x3
-
mat4x4
-
ptr
-
sampler
-
sampler_comparison
-
texture_1d
-
texture_2d
-
texture_2d_array
-
texture_3d
-
texture_cube
-
texture_cube_array
-
texture_multisampled_2d
-
texture_storage_1d
-
texture_storage_2d
-
texture_storage_2d_array
-
texture_storage_3d
-
texture_depth_2d
-
texture_depth_2d_array
-
texture_depth_cube
-
texture_depth_cube_array
-
texture_depth_multisampled_2d
-
u32
-
vec2
-
vec3
-
vec4
15.1.2. Other Keywords
-
bitcast
-
break
-
case
-
const
-
continue
-
continuing
-
default
-
discard
-
else
-
enable
-
false
-
fn
-
for
-
if
-
let
-
loop
-
override
-
return
-
static_assert
-
struct
-
switch
-
true
-
type
-
var
-
while
15.2. Reserved Words
A reserved word is a token which is reserved for future use. A WGSL program must not contain a reserved word.
The following are reserved words:
| 'CompileShader'
| 'ComputeShader'
| 'DomainShader'
| 'GeometryShader'
| 'Hullshader'
| 'NULL'
| 'Self'
| 'abstract'
| 'active'
| 'alignas'
| 'alignof'
| 'as'
| 'asm'
| 'asm_fragment'
| 'async'
| 'attribute'
| 'auto'
| 'await'
| 'become'
| 'binding_array'
| 'cast'
| 'catch'
| 'class'
| 'co_await'
| 'co_return'
| 'co_yield'
| 'coherent'
| 'column_major'
| 'common'
| 'compile'
| 'compile_fragment'
| 'concept'
| 'const_cast'
| 'consteval'
| 'constexpr'
| 'constinit'
| 'crate'
| 'debugger'
| 'decltype'
| 'delete'
| 'demote'
| 'demote_to_helper'
| 'do'
| 'dynamic_cast'
| 'enum'
| 'explicit'
| 'export'
| 'extends'
| 'extern'
| 'external'
| 'fallthrough'
| 'filter'
| 'final'
| 'finally'
| 'friend'
| 'from'
| 'fxgroup'
| 'get'
| 'goto'
| 'groupshared'
| 'handle'
| 'highp'
| 'impl'
| 'implements'
| 'import'
| 'inline'
| 'inout'
| 'instanceof'
| 'interface'
| 'layout'
| 'lowp'
| 'macro'
| 'macro_rules'
| 'match'
| 'mediump'
| 'meta'
| 'mod'
| 'module'
| 'move'
| 'mut'
| 'mutable'
| 'namespace'
| 'new'
| 'nil'
| 'noexcept'
| 'noinline'
| 'nointerpolation'
| 'noperspective'
| 'null'
| 'nullptr'
| 'of'
| 'operator'
| 'package'
| 'packoffset'
| 'partition'
| 'pass'
| 'patch'
| 'pixelfragment'
| 'precise'
| 'precision'
| 'premerge'
| 'priv'
| 'protected'
| 'pub'
| 'public'
| 'readonly'
| 'ref'
| 'regardless'
| 'register'
| 'reinterpret_cast'
| 'requires'
| 'resource'
| 'restrict'
| 'self'
| 'set'
| 'shared'
| 'signed'
| 'sizeof'
| 'smooth'
| 'snorm'
| 'static'
| 'static_assert'
| 'static_cast'
| 'std'
| 'subroutine'
| 'super'
| 'target'
| 'template'
| 'this'
| 'thread_local'
| 'throw'
| 'trait'
| 'try'
| 'typedef'
| 'typeid'
| 'typename'
| 'typeof'
| 'union'
| 'unless'
| 'unorm'
| 'unsafe'
| 'unsized'
| 'use'
| 'using'
| 'varying'
| 'virtual'
| 'volatile'
| 'wgsl'
| 'where'
| 'with'
| 'writeonly'
| 'yield'
15.3. Syntactic Tokens
A syntactic token is a sequence of special code points, used:
-
to spell an expression operator, or
-
as punctuation: to group, sequence, or separate other grammar elements.
List of syntactic tokens:
-
'&'
(Code point:U+0026
) -
'&&'
(Code points:U+0026
U+0026
) -
'->'
(Code points:U+002D
U+003E
) -
'@'
(Code point:U+0040
) -
'/'
(Code point:U+002F
) -
'!'
(Code point:U+0021
) -
'['
(Code point:U+005B
) -
']'
(Code point:U+005D
) -
'{'
(Code point:U+007B
) -
'}'
(Code point:U+007D
) -
':'
(Code point:U+003A
) -
','
(Code point:U+002C
) -
'='
(Code point:U+003D
) -
'=='
(Code points:U+003D
U+003D
) -
'!='
(Code points:U+0021
U+003D
) -
'>'
(Code point:U+003E
) -
'>='
(Code points:U+003E
U+003D
) -
'>>'
(Code point:U+003E
U+003E
) -
'<'
(Code point:U+003C
) -
'<='
(Code points:U+003C
U+003D
) -
'<<'
(Code points:U+003C
U+003C
) -
'%'
(Code point:U+0025
) -
'-'
(Code point:U+002D
) -
'--'
(Code points:U+002D
U+002D
) -
'.'
(Code point:U+002E
) -
'+'
(Code point:U+002B
) -
'++'
(Code points:U+002B
U+002B
) -
'|'
(Code point:U+007C
) -
'||'
(Code points:U+007C
U+007C
) -
'('
(Code point:U+0028
) -
')'
(Code point:U+0029
) -
';'
(Code point:U+003B
) -
'*'
(Code point:U+002A
) -
'~'
(Code point:U+007E
) -
'_'
(Code point:U+005F
) -
'^'
(Code point:U+005E
) -
'+='
(Code points:U+002B
U+003D
) -
'-='
(Code points:U+002D
U+003D
) -
'*='
(Code points:U+002A
U+003D
) -
'/='
(Code points:U+002F
U+003D
) -
'%='
(Code points:U+0025
U+003D
) -
'&='
(Code points:U+0026
U+003D
) -
'|='
(Code points:U+007C
U+003D
) -
'^='
(Code points:U+005E
U+003D
) -
'>>='
(Code points:U+003E
U+003E
U+003D
) -
'<<='
(Code points:U+003C
U+003C
U+003D
)
15.4. Context-Dependent Name Tokens
This section lists the tokens used as context-dependent names.
The attribute names are:
-
'align'
-
'binding'
-
'builtin'
-
'compute'
-
'const'
-
'fragment'
-
'group'
-
'id'
-
'interpolate'
-
'invariant'
-
'location'
-
'size'
-
'vertex'
-
'workgroup_size'
The interpolation type names are:
| 'perspective'
| 'linear'
| 'flat'
The interpolation sampling names are:
| 'center'
| 'centroid'
| 'sample'
The built-in value names are:
| 'vertex_index'
| 'instance_index'
| 'position'
| 'front_facing'
| 'frag_depth'
| 'local_invocation_id'
| 'local_invocation_index'
| 'global_invocation_id'
| 'workgroup_id'
| 'num_workgroups'
| 'sample_index'
| 'sample_mask'
The access mode names are:
| 'read'
| 'write'
| 'read_write'
The address space names are:
| 'function'
| 'private'
| 'workgroup'
| 'uniform'
| 'storage'
The texel format names are:
| 'rgba8unorm'
| 'rgba8snorm'
| 'rgba8uint'
| 'rgba8sint'
| 'rgba16uint'
| 'rgba16sint'
| 'rgba16float'
| 'r32uint'
| 'r32sint'
| 'r32float'
| 'rg32uint'
| 'rg32sint'
| 'rg32float'
| 'rgba32uint'
| 'rgba32sint'
| 'rgba32float'
| 'bgra8unorm'
The extension names are:
| 'f16'
The swizzle names are used in vector access expressions:
| '/[rgba]/'
| '/[rgba][rgba]/'
| '/[rgba][rgba][rgba]/'
| '/[rgba][rgba][rgba][rgba]/'
| '/[xyzw]/'
| '/[xyzw][xyzw]/'
| '/[xyzw][xyzw][xyzw]/'
| '/[xyzw][xyzw][xyzw][xyzw]/'
16. Built-in Values
The following table lists the available built-in values.
See § 10.3.1.1 Built-in Inputs and Outputs for how to declare a built-in value.
Name | Stage | Input or Output | Type | Description |
---|---|---|---|---|
vertex_index
| vertex | input | u32 |
Index of the current vertex within the current API-level draw command,
independent of draw instancing.
For a non-indexed draw, the first vertex has an index equal to the For an indexed draw, the index is equal to the index buffer entry for the
vertex, plus the |
instance_index
| vertex | input | u32 |
Instance index of the current vertex within the current API-level draw command.
The first instance has an index equal to the |
position
| vertex | output | vec4<f32> | Output position of the current vertex, using homogeneous coordinates. After homogeneous normalization (where each of the x, y, and z components are divided by the w component), the position is in the WebGPU normalized device coordinate space. See WebGPU § Coordinate Systems. |
fragment | input | vec4<f32> | Framebuffer position of the current fragment in framebuffer space. (The x, y, and z components have already been scaled such that w is now 1.) See WebGPU § Coordinate Systems. | |
front_facing
| fragment | input | bool | True when the current fragment is on a front-facing primitive. False otherwise. See WebGPU § Front-facing. |
frag_depth
| fragment | output | f32 | Updated depth of the fragment, in the viewport depth range. See WebGPU § Coordinate Systems. |
local_invocation_id
| compute | input | vec3<u32> | The current invocation’s local invocation ID, i.e. its position in the workgroup grid. |
local_invocation_index
| compute | input | u32 | The current invocation’s local invocation index, a linearized index of the invocation’s position within the workgroup grid. |
global_invocation_id
| compute | input | vec3<u32> | The current invocation’s global invocation ID, i.e. its position in the compute shader grid. |
workgroup_id
| compute | input | vec3<u32> | The current invocation’s workgroup ID, i.e. the position of the workgroup in the workgroup grid. |
num_workgroups
| compute | input | vec3<u32> | The dispatch size, vec<u32>(group_count_x, group_count_y, group_count_z) , of the compute shader dispatched by the API.
|
sample_index
| fragment | input | u32 | Sample index for the current fragment.
The value is least 0 and at most sampleCount -1, where sampleCount is the number of MSAA samples specified for the GPU render pipeline. See WebGPU § GPURenderPipeline. |
sample_mask
| fragment | input | u32 | Sample coverage mask for the current fragment.
It contains a bitmask indicating which samples in this fragment are covered
by the primitive being rendered. See WebGPU § Sample Masking. |
fragment | output | u32 | Sample coverage mask control for the current fragment.
The last value written to this variable becomes the shader-output mask.
Zero bits in the written value will cause corresponding samples in
the color attachments to be discarded. See WebGPU § Sample Masking. |
struct VertexOutput { @ builtin ( position ) my_pos :vec4 < f32 > } @ vertex fn vs_main ( @ builtin ( vertex_index ) my_index :u32 , @ builtin ( instance_index ) my_inst_index :u32 , ) ->VertexOutput {} struct FragmentOutput { @ builtin ( frag_depth ) depth :f32 , @ builtin ( sample_mask ) mask_out :u32 } @ fragment fn fs_main ( @ builtin ( front_facing ) is_front :bool , @ builtin ( position ) coord :vec4 < f32 > , @ builtin ( sample_index ) my_sample_index :u32 , @ builtin ( sample_mask ) mask_in :u32 , ) ->FragmentOutput {} @ compute @ workgroup_size ( 64 ) fn cs_main ( @ builtin ( local_invocation_id ) local_id :vec3 < u32 > , @ builtin ( local_invocation_index ) local_index :u32 , @ builtin ( global_invocation_id ) global_id :vec3 < u32 > , ) {}
17. Built-in Functions
Certain functions are predeclared, provided by the implementation, and therefore always available for use in a WGSL program. These are called built-in functions.
A built-in function is a family of functions, all with the same name, but distinguished by the number, order, and types of their formal parameters. Each of these distinct function variations is an overload.
Note: Each user-defined function only has one overload.
Each overload is described below via:
-
Type parameterizations, if any.
-
The built-in function name, a parenthesized list of formal parameters, and optionally a return type.
-
The behavior of this overload of the function.
When calling a built-in function, all arguments to the function are evaluated before function evaluation begins. See § 9.2 Function Calls.
17.1. Logical Built-in Functions
17.1.1. all
Overload |
|
Description | Returns true if each component of e is true.
|
Overload |
|
Description | Returns e .
|
17.1.2. any
Overload |
|
Description | Returns true if any component of e is true.
|
Overload |
|
Description | Returns e .
|
17.1.3. select
Overload |
|
Parameterization | T is scalar or vector
|
Description | Returns t when cond is true, and f otherwise.
|
Overload |
|
Parameterization | T is scalar
|
Description | Component-wise selection. Result component i is evaluated
as select(f[i], t[i], cond[i]) .
|
17.2. Array Built-in Functions
17.2.1. arrayLength
Overload |
|
Parameterization | E is an element type for a runtime-sized array,access mode AM is read or read_write
|
Description | Returns the number of elements in the runtime-sized array. |
17.3. Numeric Built-in Functions
17.3.1. abs
Overload |
|
Parameterization | S is AbstractInt, AbstractFloat, i32, u32, f32, or f16 T is S, or vecN<S> |
Description |
The absolute value of e . Component-wise when T is a vector.
If |
17.3.2. acos
Overload |
|
Parameterization | S is AbstractFloat, f32, or f16 T is S or vecN<S> |
Description |
Returns the principal value, in radians, of the inverse cosine (cos-1) of e .That is, approximates x with 0 ≤ x ≤ π, such that cos (x ) = e .
Component-wise when |
Note: The result is not mathematically meaningful when |
17.3.3. acosh
Overload |
|
Parameterization | S is AbstractFloat, f32, or f16 T is S or vecN<S> |
Description |
Returns the inverse hyperbolic cosine (cosh-1) of e , as a
hyperbolic angle in radians.That is, approximates x with 0 ≤ x ≤ ∞, such that cosh (x ) = e .
Component-wise when |
Note: The result is not mathematically meaningful when |
17.3.4. asin
Overload |
|
Parameterization | S is AbstractFloat, f32, or f16 T is S or vecN<S> |
Description |
Returns the principal value, in radians, of the inverse sine (sin-1) of e .That is, approximates x with -π/2 ≤ x ≤ π/2, such that sin (x ) = e .
Component-wise when |
Note: The result is not mathematically meaningful when |
17.3.5. asinh
Overload |
|
Parameterization | S is AbstractFloat, f32, or f16 T is S or vecN<S> |
Description |
Returns the inverse hyperbolic sine (sinh-1) of e , as a hyperbolic angle in radians.That is, approximates x such that sinh (x ) = e .
Component-wise when |