Vulkan-Docs/chapters/primsrast.txt

// Copyright (c) 2015-2018 Khronos Group. This work is licensed under a
// Creative Commons Attribution 4.0 International License; see
// http://creativecommons.org/licenses/by/4.0/

[[primsrast]]
= Rasterization

Rasterization is the process by which a primitive is converted to a
two-dimensional image.
Each point of this image contains associated data such as depth, color, or
other attributes.

Rasterizing a primitive begins by determining which squares of an integer
grid in framebuffer coordinates are occupied by the primitive, and assigning
one or more depth values to each such square.
This process is described below for points, lines, and polygons.

A grid square, including its [eq]#(x,y)# framebuffer coordinates, [eq]#z#
(depth), and associated data added by fragment shaders, is called a
fragment.
A fragment is located by its upper left corner, which lies on integer grid
coordinates.

Rasterization operations also refer to a fragment's sample locations, which
are offset by fractional values from its upper left corner.
The rasterization rules for points, lines, and triangles involve testing
whether each sample location is inside the primitive.
Fragments need not actually be square, and rasterization rules are not
affected by the aspect ratio of fragments.
Display of non-square grids, however, will cause rasterized points and line
segments to appear fatter in one direction than the other.

We assume that fragments are square, since it simplifies antialiasing and
texturing.
After rasterization, fragments are processed by the <<fragops-early,early
per-fragment tests>>, if enabled.

Several factors affect rasterization, including the members of
sname:VkPipelineRasterizationStateCreateInfo and
sname:VkPipelineMultisampleStateCreateInfo.

[open,refpage='VkPipelineRasterizationStateCreateInfo',desc='Structure specifying parameters of a newly created pipeline rasterization state',type='structs']
--

The sname:VkPipelineRasterizationStateCreateInfo structure is defined as:

include::../api/structs/VkPipelineRasterizationStateCreateInfo.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:flags is reserved for future use.
  * pname:depthClampEnable controls whether to clamp the fragment's depth
    values instead of clipping primitives to the z planes of the frustum, as
    described in <<vertexpostproc-clipping,Primitive Clipping>>.
  * pname:rasterizerDiscardEnable controls whether primitives are discarded
    immediately before the rasterization stage.
  * pname:polygonMode is the triangle rendering mode.
    See elink:VkPolygonMode.
  * pname:cullMode is the triangle facing direction used for primitive
    culling.
    See elink:VkCullModeFlagBits.
  * pname:frontFace is a elink:VkFrontFace value specifying the front-facing
    triangle orientation to be used for culling.
  * pname:depthBiasEnable controls whether to bias fragment depth values.
  * pname:depthBiasConstantFactor is a scalar factor controlling the
    constant depth value added to each fragment.
  * pname:depthBiasClamp is the maximum (or minimum) depth bias of a
    fragment.
  * pname:depthBiasSlopeFactor is a scalar factor applied to a fragment's
    slope in depth bias calculations.
  * pname:lineWidth is the width of rasterized line segments.

ifdef::VK_AMD_rasterization_order[]
The application can: also add a
sname:VkPipelineRasterizationStateRasterizationOrderAMD structure to the
pname:pNext chain of a sname:VkPipelineRasterizationStateCreateInfo
structure.
This structure enables selecting the rasterization order to use when
rendering with the corresponding graphics pipeline as described in
<<primrast-order, Rasterization Order>>.
endif::VK_AMD_rasterization_order[]

.Valid Usage
****
  * [[VUID-VkPipelineRasterizationStateCreateInfo-depthClampEnable-00782]]
    If the <<features-features-depthClamp,depth clamping>> feature is not
    enabled, pname:depthClampEnable must: be ename:VK_FALSE
ifndef::VK_NV_fill_rectangle[]
  * [[VUID-VkPipelineRasterizationStateCreateInfo-polygonMode-01413]]
    If the <<features-features-fillModeNonSolid,non-solid fill modes>>
    feature is not enabled, pname:polygonMode must: be
    ename:VK_POLYGON_MODE_FILL
endif::VK_NV_fill_rectangle[]
ifdef::VK_NV_fill_rectangle[]
  * [[VUID-VkPipelineRasterizationStateCreateInfo-polygonMode-01507]]
    If the <<features-features-fillModeNonSolid,non-solid fill modes>>
    feature is not enabled, pname:polygonMode must: be
    ename:VK_POLYGON_MODE_FILL or ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV
  * [[VUID-VkPipelineRasterizationStateCreateInfo-polygonMode-01414]]
    If the `<<VK_NV_fill_rectangle>>` extension is not enabled,
    pname:polygonMode must: not be ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV
endif::VK_NV_fill_rectangle[]
****

include::../validity/structs/VkPipelineRasterizationStateCreateInfo.txt[]
--

[open,refpage='VkPipelineRasterizationStateCreateFlags',desc='Reserved for future use',type='flags']
--
include::../api/flags/VkPipelineRasterizationStateCreateFlags.txt[]

tname:VkPipelineRasterizationStateCreateFlags is a bitmask type for setting
a mask, but is currently reserved for future use.
--

[open,refpage='VkPipelineMultisampleStateCreateInfo',desc='Structure specifying parameters of a newly created pipeline multisample state',type='structs']
--

The sname:VkPipelineMultisampleStateCreateInfo structure is defined as:

include::../api/structs/VkPipelineMultisampleStateCreateInfo.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:flags is reserved for future use.
  * pname:rasterizationSamples is a elink:VkSampleCountFlagBits specifying
    the number of samples used in rasterization.
  * pname:sampleShadingEnable can: be used to enable
    <<primsrast-sampleshading,Sample Shading>>.
  * pname:minSampleShading specifies a minimum fraction of sample shading if
    pname:sampleShadingEnable is set to ename:VK_TRUE.
  * pname:pSampleMask is a bitmask of static coverage information that is
    ANDed with the coverage information generated during rasterization, as
    described in <<fragops-samplemask,Sample Mask>>.
  * pname:alphaToCoverageEnable controls whether a temporary coverage value
    is generated based on the alpha component of the fragment's first color
    output as specified in the <<fragops-covg,Multisample Coverage>>
    section.
  * pname:alphaToOneEnable controls whether the alpha component of the
    fragment's first color output is replaced with one as described in
    <<fragops-covg,Multisample Coverage>>.

.Valid Usage
****
  * [[VUID-VkPipelineMultisampleStateCreateInfo-sampleShadingEnable-00784]]
    If the <<features-features-sampleRateShading,sample rate shading>>
    feature is not enabled, pname:sampleShadingEnable must: be
    ename:VK_FALSE
  * [[VUID-VkPipelineMultisampleStateCreateInfo-alphaToOneEnable-00785]]
    If the <<features-features-alphaToOne,alpha to one>> feature is not
    enabled, pname:alphaToOneEnable must: be ename:VK_FALSE
  * [[VUID-VkPipelineMultisampleStateCreateInfo-minSampleShading-00786]]
    pname:minSampleShading must: be in the range [eq]#[0,1]#
ifdef::VK_NV_framebuffer_mixed_samples[]
  * [[VUID-VkPipelineMultisampleStateCreateInfo-rasterizationSamples-01415]]
    If the `VK_NV_framebuffer_mixed_samples` extension is enabled, and if
    the subpass has any color attachments and pname:rasterizationSamples is
    greater than the number of color samples, then pname:sampleShadingEnable
    must: be ename:VK_FALSE
endif::VK_NV_framebuffer_mixed_samples[]

****

include::../validity/structs/VkPipelineMultisampleStateCreateInfo.txt[]
--

[open,refpage='VkPipelineMultisampleStateCreateFlags',desc='Reserved for future use',type='flags']
--
include::../api/flags/VkPipelineMultisampleStateCreateFlags.txt[]

tname:VkPipelineMultisampleStateCreateFlags is a bitmask type for setting a
mask, but is currently reserved for future use.
--

Rasterization only generates fragments which cover one or more pixels inside
the framebuffer.
Pixels outside the framebuffer are never considered covered in the fragment.
Fragments which would be produced by application of any of the primitive
rasterization rules described below but which lie outside the framebuffer
are not produced, nor are they processed by any later stage of the pipeline,
including any of the early per-fragment tests described in
<<fragops-early,Early Per-Fragment Tests>>.

Surviving fragments are processed by fragment shaders.
Fragment shaders determine associated data for fragments, and can: also
modify or replace their assigned depth values.

When the `VK_AMD_mixed_attachment_samples` and
`VK_NV_framebuffer_mixed_samples` extensions are not enabled, if the subpass
for which this pipeline is being created uses color and/or depth/stencil
attachments, then pname:rasterizationSamples must: be the same as the sample
count for those subpass attachments.

ifdef::VK_AMD_mixed_attachment_samples[]

When the `VK_AMD_mixed_attachment_samples` extension is enabled, if the
subpass for which this pipeline is being created uses color and/or
depth/stencil attachments, then pname:rasterizationSamples must: be the same
as the maximum of the sample counts of those subpass attachments.

endif::VK_AMD_mixed_attachment_samples[]

ifdef::VK_NV_framebuffer_mixed_samples[]

When the `VK_NV_framebuffer_mixed_samples` extension is enabled,
pname:rasterizationSamples must: match the sample count of the depth/stencil
attachment if present, otherwise must: be greater than or equal to the
sample count of the color attachments, if present.

endif::VK_NV_framebuffer_mixed_samples[]

If the subpass for which this pipeline is being created does not use color
or depth/stencil attachments, pname:rasterizationSamples must: follow the
rules for a <<renderpass-noattachments, zero-attachment subpass>>.

[[primsrast-discard]]
== Discarding Primitives Before Rasterization

Primitives are discarded before rasterization if the
pname:rasterizerDiscardEnable member of
slink:VkPipelineRasterizationStateCreateInfo is enabled.
When enabled, primitives are discarded after they are processed by the last
active shader stage in the pipeline before rasterization.

ifdef::VK_EXT_transform_feedback[]

[[primsrast-stream]]
== Controlling the Vertex Stream Used for Rasterization

By default vertex data output from the last vertex processing stage are
directed to vertex stream zero.
Geometry shaders can: emit primitives to multiple independent vertex
streams.
Each vertex emitted by the geometry shader is directed at one of the vertex
streams.
As vertices are received on each vertex stream, they are arranged into
primitives of the type specified by the geometry shader output primitive
type.
The shading language instructions code:OpEndPrimitive and
code:OpEndStreamPrimitive can: be used to end the primitive being assembled
on a given vertex stream and start a new empty primitive of the same type.
An implementation supports up to
sname:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:maxTransformFeedbackStreams
streams, which is at least 1.
The individual streams are numbered 0 through
pname:maxTransformFeedbackStreams minus 1.
There is no requirement on the order of the streams to which vertices are
emitted, and the number of vertices emitted to each vertex stream can: be
completely independent, subject only to the
sname:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:maxTransformFeedbackStreamDataSize
and
sname:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:maxTransformFeedbackBufferDataSize
limits.
The primitives output from all vertex streams are passed to the transform
feedback stage to be captured to transform feedback buffers in the manner
specified by the last vertex processing stage shader's code:XfbBuffer,
code:XfbStride, and code:Offsets decorations on the output interface
variables in the graphics pipeline.
To use a vertex stream other than zero, or to use multiple streams, the
code:GeometryStreams capability must: be specified.

By default, the primitives output from vertex stream zero are rasterized.
If the implementation supports the
slink:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:transformFeedbackRasterizationStreamSelect
property it is possible to rasterize a vertex stream other than zero.

By default, geometry shaders that emit vertices to multiple vertex streams
are limited to using only the code:OutputPoints output primitive type.
If the implementation supports the
slink:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:transformFeedbackStreamsLinesTriangles
property it is possible to emit code:OutputLineStrip or
code:OutputTriangleStrip in addition to code:OutputPoints.


[open,refpage='VkPipelineRasterizationStateStreamCreateInfoEXT',desc='Structure defining the geometry stream used for rasterization',type='structs']
--

The vertex stream used for rasterization is specified by adding a
sname:VkPipelineRasterizationStateStreamCreateInfoEXT structure to the
pname:pNext chain of a slink:VkPipelineRasterizationStateCreateInfo
structure.

The sname:VkPipelineRasterizationStateStreamCreateInfoEXT structure is
defined as:

include::../api/structs/VkPipelineRasterizationStateStreamCreateInfoEXT.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:flags is reserved for future use.
  * pname:rasterizationStream is the vertex stream selected for
    rasterization.

If this structure is not present, pname:rasterizationStream is assumed to be
zero.

.Valid Usage
****
  * [[VUID-VkPipelineRasterizationStateStreamCreateInfoEXT-geometryStreams-02324]]
    sname:VkPhysicalDeviceTransformFeedbackFeaturesEXT::pname:geometryStreams
    must: be enabled
  * [[VUID-VkPipelineRasterizationStateStreamCreateInfoEXT-rasterizationStream-02325]]
    pname:rasterizationStream must: be less than
    slink:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:maxTransformFeedbackStreams
  * [[VUID-VkPipelineRasterizationStateStreamCreateInfoEXT-rasterizationStream-02326]]
    pname:rasterizationStream must: be zero if
    sname:VkPhysicalDeviceTransformFeedbackPropertiesEXT::pname:transformFeedbackRasterizationStreamSelect
    is ename:VK_FALSE
****

include::../validity/structs/VkPipelineRasterizationStateStreamCreateInfoEXT.txt[]
--

[open,refpage='VkPipelineRasterizationStateStreamCreateFlagsEXT',desc='Reserved for future use',type='flags']
--
include::../api/flags/VkPipelineRasterizationStateStreamCreateFlagsEXT.txt[]

tname:VkPipelineRasterizationStateStreamCreateFlagsEXT is a bitmask type for
setting a mask, but is currently reserved for future use.
--

endif::VK_EXT_transform_feedback[]

[[primrast-order]]
== Rasterization Order

Within a subpass of a <<renderpass,render pass instance>>, for a given
(x,y,layer,sample) sample location, the following operations are guaranteed
to execute in _rasterization order_, for each separate primitive that
includes that sample location:

  . <<fragops-scissor,Scissor test>>
ifdef::VK_NV_scissor_exclusive[]
  . <<fragops-exclusive-scissor,Exclusive scissor test>>
endif::VK_NV_scissor_exclusive[]
  . <<fragops-samplemask,Sample mask generation>>
  . <<fragops-dbt,Depth bounds test>>
  . <<fragops-stencil, Stencil test, stencil op and stencil write>>
  . <<fragops-depth, Depth test and depth write>>
  . <<fragops-samplecount,Sample counting>> for
     <<queries-occlusion,occlusion queries>>
ifdef::VK_NV_fragment_coverage_to_color[]
  . <<fragops-coverage-to-color,Fragment Coverage To Color>>
endif::VK_NV_fragment_coverage_to_color[]
  . <<fragops-coverage-reduction,coverage reduction>>
  . <<framebuffer-blending, Blending>>, <<framebuffer-logicop, logic
    operations>>, and color writes

Each of these operations is atomically executed for each primitive and
sample location.

Execution of these operations for each primitive in a subpass occurs in
ifndef::VK_AMD_rasterization_order[]
<<drawing-primitive-order, primitive order>>.
endif::VK_AMD_rasterization_order[]
ifdef::VK_AMD_rasterization_order[]
an order determined by the application.

[open,refpage='VkPipelineRasterizationStateRasterizationOrderAMD',desc='Structure defining rasterization order for a graphics pipeline',type='structs']
--

The rasterization order to use for a graphics pipeline is specified by
adding a sname:VkPipelineRasterizationStateRasterizationOrderAMD structure
to the pname:pNext chain of a slink:VkPipelineRasterizationStateCreateInfo
structure.

The sname:VkPipelineRasterizationStateRasterizationOrderAMD structure is
defined as:

include::../api/structs/VkPipelineRasterizationStateRasterizationOrderAMD.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:rasterizationOrder is a elink:VkRasterizationOrderAMD value
    specifying the primitive rasterization order to use.

include::../validity/structs/VkPipelineRasterizationStateRasterizationOrderAMD.txt[]

If the `<<VK_AMD_rasterization_order>>` device extension is not enabled or
the application does not request a particular rasterization order through
specifying a sname:VkPipelineRasterizationStateRasterizationOrderAMD
structure then the rasterization order used by the graphics pipeline
defaults to ename:VK_RASTERIZATION_ORDER_STRICT_AMD.

--

[open,refpage='VkRasterizationOrderAMD',desc='Specify rasterization order for a graphics pipeline',type='enums']
--

Possible values of
slink:VkPipelineRasterizationStateRasterizationOrderAMD::pname:rasterizationOrder,
specifying the primitive rasterization order, are:

include::../api/enums/VkRasterizationOrderAMD.txt[]

  * ename:VK_RASTERIZATION_ORDER_STRICT_AMD specifies that operations for
    each primitive in a subpass must: occur in <<drawing-primitive-order,
    primitive order>>.
  * ename:VK_RASTERIZATION_ORDER_RELAXED_AMD specifies that operations for
    each primitive in a subpass may: not occur in <<drawing-primitive-order,
    primitive order>>.

--

endif::VK_AMD_rasterization_order[]


[[primsrast-multisampling]]
== Multisampling

Multisampling is a mechanism to antialias all Vulkan primitives: points,
lines, and polygons.
The technique is to sample all primitives multiple times at each pixel.
Each sample in each framebuffer attachment has storage for a color, depth,
and/or stencil value, such that per-fragment operations apply to each sample
independently.
The color sample values can: be later _resolved_ to a single color (see
<<copies-resolve,Resolving Multisample Images>> and the <<renderpass,Render
Pass>> chapter for more details on how to resolve multisample images to
non-multisample images).

Vulkan defines rasterization rules for single-sample modes in a way that is
equivalent to a multisample mode with a single sample in the center of each
fragment.

Each fragment includes a coverage value with pname:rasterizationSamples bits
(see <<fragops-samplemask,Sample Mask>>).
Each fragment includes pname:rasterizationSamples depth values and sets of
associated data.
An implementation may: choose to assign the same associated data to more
than one sample.
The location for evaluating such associated data may: be anywhere within the
fragment area including the fragment's center location [eq]#(x~f~,y~f~)# or
any of the sample locations.
When pname:rasterizationSamples is ename:VK_SAMPLE_COUNT_1_BIT, the
fragment's center location must: be used.
The different associated data values need not all be evaluated at the same
location.
Each fragment thus consists of integer x and y grid coordinates,
pname:rasterizationSamples depth values and sets of associated data, and a
coverage value with pname:rasterizationSamples bits.

It is understood that each pixel has pname:rasterizationSamples locations
associated with it.
These locations are exact positions, rather than regions or areas, and each
is referred to as a sample point.
The sample points associated with a pixel must: be located inside or on the
boundary of the unit square that is considered to bound the pixel.
Furthermore, the relative locations of sample points may: be identical for
each pixel in the framebuffer, or they may: differ.

ifdef::VK_EXT_fragment_density_map[]
If the render pass has a fragment density map attachment, each fragment only
has pname:rasterizationSamples locations associated with it regardless of
how many pixels are covered in the fragment area.
Fragment sample locations are defined as if the fragment had an area of
[eq]#(1,1)# and its sample points must: be located within these bounds.
Their actual location in the framebuffer is calculated by scaling the sample
location by the fragment area.
Attachments with storage for multiple samples per pixel are located at the
pixel sample locations.
Otherwise, the fragment's sample locations are generally used for evaluation
of associated data and fragment operations.
endif::VK_EXT_fragment_density_map[]

If the current pipeline includes a fragment shader with one or more
variables in its interface decorated with code:Sample and code:Input, the
data associated with those variables will be assigned independently for each
sample.
The values for each sample must: be evaluated at the location of the sample.
The data associated with any other variables not decorated with code:Sample
and code:Input need not be evaluated independently for each sample.

If the pname:standardSampleLocations member of slink:VkPhysicalDeviceLimits
is ename:VK_TRUE, then the sample counts ename:VK_SAMPLE_COUNT_1_BIT,
ename:VK_SAMPLE_COUNT_2_BIT, ename:VK_SAMPLE_COUNT_4_BIT,
ename:VK_SAMPLE_COUNT_8_BIT, and ename:VK_SAMPLE_COUNT_16_BIT have sample
locations as listed in the following table, with the [eq]##i##th entry in
the table corresponding to bit [eq]#i# in the sample masks.
ename:VK_SAMPLE_COUNT_32_BIT and ename:VK_SAMPLE_COUNT_64_BIT do not have
standard sample locations.
Locations are defined relative to an origin in the upper left corner of the
fragment.

<<<

.Standard sample locations
[align="center"]
|====
|ename:VK_SAMPLE_COUNT_1_BIT|ename:VK_SAMPLE_COUNT_2_BIT|ename:VK_SAMPLE_COUNT_4_BIT|ename:VK_SAMPLE_COUNT_8_BIT|ename:VK_SAMPLE_COUNT_16_BIT
|
[eq]#(0.5,0.5)#
|
[eq]#(0.75,0.75)# +
[eq]#(0.25,0.25)#
|
[eq]#(0.375, 0.125)# +
[eq]#(0.875, 0.375)# +
[eq]#(0.125, 0.625)# +
[eq]#(0.625, 0.875)#
|
[eq]#(0.5625, 0.3125)# +
[eq]#(0.4375, 0.6875)# +
[eq]#(0.8125, 0.5625)# +
[eq]#(0.3125, 0.1875)# +
[eq]#(0.1875, 0.8125)# +
[eq]#(0.0625, 0.4375)# +
[eq]#(0.6875, 0.9375)# +
[eq]#(0.9375, 0.0625)#
|
[eq]#(0.5625, 0.5625)# +
[eq]#(0.4375, 0.3125)# +
[eq]#(0.3125, 0.625)# +
[eq]#(0.75,   0.4375)# +
[eq]#(0.1875, 0.375)# +
[eq]#(0.625,  0.8125)# +
[eq]#(0.8125, 0.6875)# +
[eq]#(0.6875, 0.1875)# +
[eq]#(0.375,  0.875)# +
[eq]#(0.5,    0.0625)# +
[eq]#(0.25,   0.125)# +
[eq]#(0.125,  0.75)# +
[eq]#(0.0,    0.5)# +
[eq]#(0.9375, 0.25)# +
[eq]#(0.875,  0.9375)# +
[eq]#(0.0625, 0.0)#
|image:images/sample_count_1.svg[align="center",opts="{imageopts}"]
|image:images/sample_count_2.svg[align="center",opts="{imageopts}"]
|image:images/sample_count_4.svg[align="center",opts="{imageopts}"]
|image:images/sample_count_8.svg[align="center",opts="{imageopts}"]
|image:images/sample_count_16.svg[align="center",opts="{imageopts}"]
|====

ifdef::VK_AMD_shader_fragment_mask[]
Color images created with multiple samples per pixel use a compression
technique where there are two arrays of data associated with each pixel.
The first array contains one element per sample where each element stores an
index to the second array defining the _fragment mask_ of the pixel.
The second array contains one element per _color fragment_ and each element
stores a unique color value in the format of the image.
With this compression technique it's not always necessary to actually use
unique storage locations for each color sample: when multiple samples share
the same color value the fragment mask may: have two samples referring to
the same color fragment.
The number of color fragments is determined by the pname:samples member of
the slink:VkImageCreateInfo structure used to create the image.
The `<<VK_AMD_shader_fragment_mask>>` device extension provides shader
instructions enabling the application to get direct access to the fragment
mask and the individual color fragment values.

[[vk-amd-shader-fragment-mask-diagram]]
image::images/fragment_mask.svg[align="center",title="Fragment Mask",align="center",opts="{imageopts}"]

endif::VK_AMD_shader_fragment_mask[]

ifdef::VK_EXT_sample_locations[]

[[primrast-samplelocations]]
== Custom Sample Locations

[open,refpage='VkPipelineSampleLocationsStateCreateInfoEXT',desc='Structure specifying sample locations for a pipeline',type='structs']
--

Applications can: also control the sample locations used for rasterization.

If the pname:pNext chain of the slink:VkPipelineMultisampleStateCreateInfo
structure specified at pipeline creation time includes an instance of the
sname:VkPipelineSampleLocationsStateCreateInfoEXT structure, then that
structure controls the sample locations used when rasterizing primitives
with the pipeline.

The sname:VkPipelineSampleLocationsStateCreateInfoEXT structure is defined
as:

include::../api/structs/VkPipelineSampleLocationsStateCreateInfoEXT.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:sampleLocationsEnable controls whether custom sample locations are
    used.
    If pname:sampleLocationsEnable is ename:VK_FALSE, the default sample
    locations are used and the values specified in pname:sampleLocationsInfo
    are ignored.
  * pname:sampleLocationsInfo is the sample locations to use during
    rasterization if pname:sampleLocationsEnable is ename:VK_TRUE and the
    graphics pipeline is not created with
    ename:VK_DYNAMIC_STATE_SAMPLE_LOCATIONS_EXT.

include::../validity/structs/VkPipelineSampleLocationsStateCreateInfoEXT.txt[]
--

[open,refpage='VkSampleLocationsInfoEXT',desc='Structure specifying a set of sample locations',type='structs']
--

The sname:VkSampleLocationsInfoEXT structure is defined as:

include::../api/structs/VkSampleLocationsInfoEXT.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:sampleLocationsPerPixel is a elink:VkSampleCountFlagBits
    specifying the number of sample locations per pixel.
  * pname:sampleLocationGridSize is the size of the sample location grid to
    select custom sample locations for.
  * pname:sampleLocationsCount is the number of sample locations in
    pname:pSampleLocations.
  * pname:pSampleLocations is an array of pname:sampleLocationsCount
    slink:VkSampleLocationEXT structures.

This structure can: be used either to specify the sample locations to be
used for rendering or to specify the set of sample locations an image
subresource has been last rendered with for the purposes of layout
transitions of depth/stencil images created with
ename:VK_IMAGE_CREATE_SAMPLE_LOCATIONS_COMPATIBLE_DEPTH_BIT_EXT.

The sample locations in pname:pSampleLocations specify
pname:sampleLocationsPerPixel number of sample locations for each pixel in
the grid of the size specified in pname:sampleLocationGridSize.
The sample location for sample [eq]#i# at the pixel grid location
[eq]#(x,y)# is taken from [eq]#pname:pSampleLocations[(x + y *
pname:sampleLocationGridSize.width) * pname:sampleLocationsPerPixel + i]#.

ifdef::VK_EXT_fragment_density_map[]
If the render pass has a fragment density map, the implementation will
choose the sample locations for the fragment and the contents of
pname:pSampleLocations may: be ignored.
endif::VK_EXT_fragment_density_map[]

.Valid Usage
****
  * [[VUID-VkSampleLocationsInfoEXT-sampleLocationsPerPixel-01526]]
    pname:sampleLocationsPerPixel must: be a bit value that is set in
    slink:VkPhysicalDeviceSampleLocationsPropertiesEXT::pname:sampleLocationSampleCounts
  * [[VUID-VkSampleLocationsInfoEXT-sampleLocationsCount-01527]]
    pname:sampleLocationsCount must: equal
    [eq]#pname:sampleLocationsPerPixel {times}
    pname:sampleLocationGridSize.width {times}
    pname:sampleLocationGridSize.height#
****

include::../validity/structs/VkSampleLocationsInfoEXT.txt[]
--

[open,refpage='VkSampleLocationEXT',desc='Structure specifying the coordinates of a sample location',type='structs']
--

The sname:VkSampleLocationEXT structure is defined as:

include::../api/structs/VkSampleLocationEXT.txt[]

  * pname:x is the horizontal coordinate of the sample's location.
  * pname:y is the vertical coordinate of the sample's location.

The domain space of the sample location coordinates has an upper-left origin
within the pixel in framebuffer space.

The values specified in a sname:VkSampleLocationEXT structure are always
clamped to the implementation-dependent sample location coordinate range
[eq]#[pname:sampleLocationCoordinateRange[0],pname:sampleLocationCoordinateRange[1]]#
that can: be queried by chaining the
slink:VkPhysicalDeviceSampleLocationsPropertiesEXT structure to the
pname:pNext chain of slink:VkPhysicalDeviceProperties2.

include::../validity/structs/VkSampleLocationEXT.txt[]
--

[open,refpage='vkCmdSetSampleLocationsEXT',desc='Set the dynamic sample locations state',type='protos']
--
The custom sample locations used for rasterization when
sname:VkPipelineSampleLocationsStateCreateInfoEXT::pname:sampleLocationsEnable
is ename:VK_TRUE are specified by the
sname:VkPipelineSampleLocationsStateCreateInfoEXT::pname:sampleLocationsInfo
property of the bound graphics pipeline, if the pipeline was not created
with ename:VK_DYNAMIC_STATE_SAMPLE_LOCATIONS_EXT enabled.

Otherwise, the sample locations used for rasterization are set by calling
fname:vkCmdSetSampleLocationsEXT:

include::../api/protos/vkCmdSetSampleLocationsEXT.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:pSampleLocationsInfo is the sample locations state to set.

.Valid Usage
****
  * [[VUID-vkCmdSetSampleLocationsEXT-None-01528]]
    The bound graphics pipeline must: have been created with the
    ename:VK_DYNAMIC_STATE_SAMPLE_LOCATIONS_EXT dynamic state enabled
  * [[VUID-vkCmdSetSampleLocationsEXT-sampleLocationsPerPixel-01529]]
    The pname:sampleLocationsPerPixel member of pname:pSampleLocationsInfo
    must: equal the pname:rasterizationSamples member of the
    slink:VkPipelineMultisampleStateCreateInfo structure the bound graphics
    pipeline has been created with
  * [[VUID-vkCmdSetSampleLocationsEXT-variableSampleLocations-01530]]
    If
    slink:VkPhysicalDeviceSampleLocationsPropertiesEXT::pname:variableSampleLocations
    is ename:VK_FALSE then the current render pass must: have been begun by
    specifying a slink:VkRenderPassSampleLocationsBeginInfoEXT structure
    whose pname:pPostSubpassSampleLocations member contains an element with
    a pname:subpassIndex matching the current subpass index and the
    pname:sampleLocationsInfo member of that element must: match the sample
    locations state pointed to by pname:pSampleLocationsInfo
****

include::../validity/protos/vkCmdSetSampleLocationsEXT.txt[]
--

endif::VK_EXT_sample_locations[]

ifdef::VK_NV_shading_rate_image[]

[[primsrast-shading-rate-image]]
== Shading Rate Image

The <<features-features-shadingRateImage, shading rate image>> feature
allows pipelines to use a <<glossary-shading-rate-image,shading rate image>>
to control the <<glossary-fragment-area, fragment area>> and the minimum
number of fragment shader invocations launched for each fragment.
When the shading rate image is enabled, the rasterizer determines a base
<<glossary-shading-rate,shading rate>> for each region of the framebuffer
covered by a primitive by fetching a value from the shading rate image and
translating it to a shading rate using a per-viewport shading rate palette.
This base shading rate is then adjusted to derive a final shading rate,
which specifies the fragment area and fragment shader invocation count to
use for fragments generated in the region.

[open,refpage='VkPipelineViewportShadingRateImageStateCreateInfoNV',desc='Structure specifying parameters controlling shading rate image usage',type='structs']
--

If the pname:pNext chain of slink:VkPipelineViewportStateCreateInfo includes
a sname:VkPipelineViewportShadingRateImageStateCreateInfoNV structure, then
that structure includes parameters that control the shading rate.

The sname:VkPipelineViewportShadingRateImageStateCreateInfoNV structure is
defined as:

include::../api/structs/VkPipelineViewportShadingRateImageStateCreateInfoNV.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:shadingRateImageEnable specifies whether shading rate image and
    palettes are used during rasterization.
  * pname:viewportCount specifies the number of per-viewport palettes used
    to translate values stored in shading rate images.
  * pname:pShadingRatePalettes is a pointer to an array of
    slink:VkShadingRatePaletteNV structures defining the palette for each
    viewport.
    If the shading rate palette state is dynamic, this member is ignored.

If this structure is not present, pname:shadingRateImageEnable is considered
to be ename:VK_FALSE, and the shading rate image and palettes are not used.

.Valid Usage
****
  * [[VUID-VkPipelineViewportShadingRateImageStateCreateInfoNV-viewportCount-02054]]
    If the <<features-features-multiViewport,multiple viewports>> feature is
    not enabled, pname:viewportCount must: be `0` or `1`
  * [[VUID-VkPipelineViewportShadingRateImageStateCreateInfoNV-viewportCount-02055]]
    pname:viewportCount must: be less than or equal to
    sname:VkPhysicalDeviceLimits::pname:maxViewports
  * [[VUID-VkPipelineViewportShadingRateImageStateCreateInfoNV-shadingRateImageEnable-02056]]
    If pname:shadingRateImageEnable is ename:VK_TRUE, pname:viewportCount
    must: be equal to the pname:viewportCount member of
    sname:VkPipelineViewportStateCreateInfo
  * [[VUID-VkPipelineViewportShadingRateImageStateCreateInfoNV-pDynamicStates-02057]]
    If no element of the pname:pDynamicStates member of pname:pDynamicState
    is ename:VK_DYNAMIC_STATE_VIEWPORT_SHADING_RATE_PALETTE_NV,
    pname:pShadingRatePalettes must: be a valid pointer to an array of
    pname:viewportCount sname:VkShadingRatePaletteNV structures
****
include::../validity/structs/VkPipelineViewportShadingRateImageStateCreateInfoNV.txt[]
--

[open,refpage='vkCmdBindShadingRateImageNV',desc='Bind a shading rate image on a command buffer',type='protos']
--

When shading rate image usage is enabled in the bound pipeline, the pipeline
uses a shading rate image specified by the command:

include::../api/protos/vkCmdBindShadingRateImageNV.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:imageView is an image view handle that specifies the shading rate
    image.
    pname:imageView may: be set to dlink:VK_NULL_HANDLE, which is equivalent
    to specifying a view of an image filled with zero values.
  * pname:imageLayout is the layout that the image subresources accessible
    from pname:imageView will be in when the shading rate image is accessed.

.Valid Usage
****
  * [[VUID-vkCmdBindShadingRateImageNV-None-02058]]
    The <<features-features-shadingRateImage,shading rate image>> feature
    must: be enabled.
  * [[VUID-vkCmdBindShadingRateImageNV-imageView-02059]]
    If pname:imageView is not dlink:VK_NULL_HANDLE, it must: be a valid
    slink:VkImageView handle of type ename:VK_IMAGE_VIEW_TYPE_2D or
    ename:VK_IMAGE_VIEW_TYPE_2D_ARRAY.
  * [[VUID-vkCmdBindShadingRateImageNV-imageView-02060]]
    If pname:imageView is not dlink:VK_NULL_HANDLE, it must: have a format
    of ename:VK_FORMAT_R8_UINT.
  * [[VUID-vkCmdBindShadingRateImageNV-imageView-02061]]
    If pname:imageView is not dlink:VK_NULL_HANDLE, it must: have been
    created with a pname:usage value including
    ename:VK_IMAGE_USAGE_SHADING_RATE_IMAGE_BIT_NV
  * [[VUID-vkCmdBindShadingRateImageNV-imageView-02062]]
    If pname:imageView is not dlink:VK_NULL_HANDLE, pname:imageLayout must:
    match the actual elink:VkImageLayout of each subresource accessible from
    pname:imageView at the time the subresource is accessed.
  * [[VUID-vkCmdBindShadingRateImageNV-imageLayout-02063]]
    If pname:imageView is not dlink:VK_NULL_HANDLE, pname:imageLayout must:
    be ename:VK_IMAGE_LAYOUT_SHADING_RATE_OPTIMAL_NV or
    ename:VK_IMAGE_LAYOUT_GENERAL.
****

include::../validity/protos/vkCmdBindShadingRateImageNV.txt[]
--

When the shading rate image is enabled in the current pipeline, rasterizing
a primitive covering the pixel with coordinates (_x_,_y_) will fetch a
shading rate index value from the shading rate image bound by
fname:vkCmdBindShadingRateImageNV.
If the shading rate image view has a type of ename:VK_IMAGE_VIEW_TYPE_2D,
the lookup will use texel coordinates (_u_,_v_) where latexmath:[u = \lfloor
\frac{x}{twidth} \rfloor], latexmath:[v = \lfloor \frac{y}{theight}
\rfloor], and latexmath:[twidth] and latexmath:[theight] are the width and
height of the implementation-dependent
<<features-limits-shading-rate-texel-size, shading rate texel size>>.
If the shading rate image view has a type of
ename:VK_IMAGE_VIEW_TYPE_2D_ARRAY, the lookup will use texel coordinates
(_u_,_v_) to extract a texel from the layer _l_, where _l_ is the layer of
the framebuffer being rendered to.
If _l_ is greater than or equal to the number of layers in the image view,
layer zero will be used.

If the bound shading rate image view is not dlink:VK_NULL_HANDLE and
contains a texel with coordinates (_u_,_v_) in layer _l_ (if applicable),
the single unsigned integer component for that texel will be used as the
shading rate index.
If the (_u_,_v_) coordinate is outside the extents of the subresource used
by the shading rate image view, or if the image view is
dlink:VK_NULL_HANDLE, the shading rate index is zero.
If the shading rate image view has multiple mipmap levels, the base level
identified by sname:VkImageSubresourceRange::pname:baseMipLevel will be
used.

A shading rate index is mapped to a base shading rate using a lookup table
called the shading rate image palette.
There is a separate palette for each viewport.
The number of entries in each palette is given by the
implementation-dependent <<features-limits-shading-rate-palette-size,
shading rate image palette size>>.

[open,refpage='vkCmdSetViewportShadingRatePaletteNV',desc='Set shading rate image palettes on a command buffer',type='protos']
--

If a pipeline state object is created with
ename:VK_DYNAMIC_STATE_VIEWPORT_SHADING_RATE_PALETTE_NV enabled, the
per-viewport shading rate image palettes are set by the command:

include::../api/protos/vkCmdSetViewportShadingRatePaletteNV.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:firstViewport is the index of the first viewport whose shading
    rate palette is updated by the command.
  * pname:viewportCount is the number of viewports whose shading rate
    palettes are updated by the command.
  * pname:pShadingRatePalettes is a pointer to an array of
    slink:VkShadingRatePaletteNV structures defining the palette for each
    viewport.

.Valid Usage
****
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-None-02064]]
    The <<features-features-shadingRateImage,shading rate image>> feature
    must: be enabled.
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-None-02065]]
    The bound graphics pipeline must: have been created with the
    ename:VK_DYNAMIC_STATE_VIEWPORT_SHADING_RATE_PALETTE_NV dynamic state
    enabled
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-firstViewport-02066]]
    pname:firstViewport must: be less than
    sname:VkPhysicalDeviceLimits::pname:maxViewports
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-firstViewport-02067]]
    The sum of pname:firstViewport and pname:viewportCount must: be between
    `1` and sname:VkPhysicalDeviceLimits::pname:maxViewports, inclusive
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-firstViewport-02068]]
    If the <<features-features-multiViewport,multiple viewports>> feature is
    not enabled, pname:firstViewport must: be `0`
  * [[VUID-vkCmdSetViewportShadingRatePaletteNV-viewportCount-02069]]
    If the <<features-features-multiViewport,multiple viewports>> feature is
    not enabled, pname:viewportCount must: be `1`
****

include::../validity/protos/vkCmdSetViewportShadingRatePaletteNV.txt[]
--

[open,refpage='VkShadingRatePaletteNV',desc='Structure specifying a single shading rate palette',type='structs']
--

The sname:VkShadingRatePaletteNV structure specifies to contents of a single
shading rate image palette and is defined as:

include::../api/structs/VkShadingRatePaletteNV.txt[]

  * pname:shadingRatePaletteEntryCount specifies the number of entries in
    the shading rate image palette.
  * pname:pShadingRatePaletteEntries is a pointer to an array of
    elink:VkShadingRatePaletteEntryNV enums defining the shading rate for
    each palette entry.

.Valid Usage
****
  * [[VUID-VkShadingRatePaletteNV-shadingRatePaletteEntryCount-02071]]
    pname:shadingRatePaletteEntryCount must: be between `1` and
    sname:VkPhysicalDeviceShadingRateImagePropertiesNV::pname:shadingRatePaletteSize,
    inclusive

****
include::../validity/structs/VkShadingRatePaletteNV.txt[]
--

To determine the base shading rate image, a shading rate index _i_ is mapped
to array element _i_ in the array pname:pShadingRatePaletteEntries for the
palette corresponding to the viewport used for the fragment.
If _i_ is greater than or equal to the palette size
pname:shadingRatePaletteEntryCount, the base shading rate is undefined.

[open,refpage='VkShadingRatePaletteEntryNV',desc='Shading rate image palette entry types',type='enums']
--

The supported shading rate image palette entries are defined by
elink:VkShadingRatePaletteEntryNV:

include::../api/enums/VkShadingRatePaletteEntryNV.txt[]

The following table indicates the width and height (in pixels) of each
fragment generated using the indicated shading rate, as well as the maximum
number of fragment shader invocations launched for each fragment.
When processing regions of a primitive that have a shading rate of
ename:VK_SHADING_RATE_PALETTE_ENTRY_NO_INVOCATIONS_NV, no fragments will be
generated in that region.

[options="header"]
|========
| Shading Rate | Width | Height | Invocations
| ename:VK_SHADING_RATE_PALETTE_ENTRY_NO_INVOCATIONS_NV                 | 0 | 0 | 0
| ename:VK_SHADING_RATE_PALETTE_ENTRY_16_INVOCATIONS_PER_PIXEL_NV       | 1 | 1 | 16
| ename:VK_SHADING_RATE_PALETTE_ENTRY_8_INVOCATIONS_PER_PIXEL_NV        | 1 | 1 | 8
| ename:VK_SHADING_RATE_PALETTE_ENTRY_4_INVOCATIONS_PER_PIXEL_NV        | 1 | 1 | 4
| ename:VK_SHADING_RATE_PALETTE_ENTRY_2_INVOCATIONS_PER_PIXEL_NV        | 1 | 1 | 2
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_PIXEL_NV         | 1 | 1 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_2X1_PIXELS_NV    | 2 | 1 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_1X2_PIXELS_NV    | 1 | 2 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_2X2_PIXELS_NV    | 2 | 2 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_4X2_PIXELS_NV    | 4 | 2 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_2X4_PIXELS_NV    | 2 | 4 | 1
| ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_4X4_PIXELS_NV    | 4 | 4 | 1
|========
--

When the shading rate image is disabled, a shading rate of
ename:VK_SHADING_RATE_PALETTE_ENTRY_1_INVOCATION_PER_PIXEL_NV will be used
as the base shading rate.

Once a base shading rate has been established, it is adjusted to produce a
final shading rate.
First, if the base shading rate uses multiple pixels for each fragment, the
implementation may: reduce the fragment area to ensure that the total number
of coverage samples for all pixels in a fragment does not exceed
<<features-limits-shading-rate-max-coarse-samples, an
implementation-dependent maximum>>.

If <<primsrast-sampleshading, sample shading>> is active in the current
pipeline and would result in processing _n_ (_n_ > 1) unique samples per
fragment when the shading rate image is disabled, the shading rate is
adjusted in an implementation-dependent manner to increase the number of
fragment shader invocations spawned by the primitive.
If the shading rate indicates _fs_ pixels per fragment and _fs_ is greater
than _n_, the fragment area is adjusted so each fragment has approximately
latexmath:[fs \over n] pixels.
Otherwise, if the shading rate indicates _ipf_ invocations per fragment, the
fragment area will be adjusted to a single pixel with approximately
latexmath:[ipf \times n \over fs] invocations per fragment.

If sample shading occurs due to the use of a fragment shader input variable
decorated with code:SampleId or code:SamplePosition, the shading rate is
ignored.
Each fragment will have a single pixel and will spawn up to
code:totalSamples fragment shader invocations, as when using
<<primsrast-sampleshading, sample shading>> without a shading rate image.

Finally, if the shading rate specifies multiple fragment shader invocations
per fragment, the total number of invocations in the shading rate is clamped
to be no larger than the value of code:totalSamples used for
<<primsrast-sampleshading, sample shading>>.

When the final shading rate for a primitive covering pixel (_x_,_y_) has a
fragment area of latexmath:[fw \times fh], the fragment for that pixel will
cover all pixels with coordinates (_x_',_y_') that satisfy the equations:

[latexmath]
+++++++++++++++++++
\begin{aligned}
\lfloor \frac{x}{fw} \rfloor == \lfloor \frac{x'}{fw} \rfloor
\end{aligned}
+++++++++++++++++++
[latexmath]
+++++++++++++++++++
\begin{aligned}
\lfloor \frac{y}{fh} \rfloor == \lfloor \frac{y'}{fh} \rfloor
\end{aligned}
+++++++++++++++++++

This combined fragment is considered to have multiple coverage samples; the
total number of samples in this fragment is given by latexmath:[samples = fw
\times fh \times rs] where _rs_ indicates the value of
sname:VkPipelineMultisampleStateCreateInfo::pname:rasterizationSamples
specified at pipeline creation time.
The set of coverage samples in the fragment is the union of the per-pixel
coverage samples in each of the fragment's pixels The location and order of
coverage samples within each pixel in the combined fragment are assigned as
described in
ifndef::VK_EXT_sample_locations[]
<<primsrast-multisampling, Multisampling>>.
endif::VK_EXT_sample_locations[]
ifdef::VK_EXT_sample_locations[]
<<primsrast-multisampling, Multisampling>> and <<primrast-samplelocations,
Custom Sample Locations>>.
endif::VK_EXT_sample_locations[]
Each coverage sample in the set of pixels belonging to the combined fragment
is assigned a unique sample number in the range [0,_samples_-1].
If the
<<features-features-shadingRateCoarseSampleOrder,shadingRateCoarseSampleOrder>>
feature is supported, the order of coverage samples can: be specified for
each combination of fragment area and coverage sample count.
If this feature is not supported, the sample order is
implementation-dependent.

[open,refpage='VkPipelineViewportCoarseSampleOrderStateCreateInfoNV',desc='Structure specifying parameters controlling sample order in coarse fragments',type='structs']
--

If the pname:pNext chain of slink:VkPipelineViewportStateCreateInfo includes
a sname:VkPipelineViewportCoarseSampleOrderStateCreateInfoNV structure, then
that structure includes parameters that control the order of coverage
samples in fragments larger than one pixel.

The sname:VkPipelineViewportCoarseSampleOrderStateCreateInfoNV structure is
defined as:

include::../api/structs/VkPipelineViewportCoarseSampleOrderStateCreateInfoNV.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:sampleOrderType specifies the mechanism used to order coverage
    samples in fragments larger than one pixel.
  * pname:customSampleOrderCount specifies the number of custom sample
    orderings to use when ordering coverage samples.
  * pname:pCustomSampleOrders is a pointer to an array of
    slink:VkCoarseSampleOrderCustomNV structures, each of which specifies
    the coverage sample order for a single combination of fragment area and
    coverage sample count.

If this structure is not present, pname:sampleOrderType is considered to be
ename:VK_COARSE_SAMPLE_ORDER_TYPE_DEFAULT_NV.

If pname:sampleOrderType is ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV, the
coverage sample order used for any combination of fragment area and coverage
sample count not enumerated in pname:pCustomSampleOrders will be identical
to that used for ename:VK_COARSE_SAMPLE_ORDER_TYPE_DEFAULT_NV.

If the pipeline was created with
ename:VK_DYNAMIC_STATE_VIEWPORT_COARSE_SAMPLE_ORDER_NV, the contents of this
structure (if present) are ignored, and the coverage sample order is instead
specified by flink:vkCmdSetCoarseSampleOrderNV.

.Valid Usage
****
  * [[VUID-VkPipelineViewportCoarseSampleOrderStateCreateInfoNV-sampleOrderType-02072]]
    If pname:sampleOrderType is not
    ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV,
    pname:customSamplerOrderCount must: be `0`
  * [[VUID-VkPipelineViewportCoarseSampleOrderStateCreateInfoNV-pCustomSampleOrders-02234]]
    The array pname:pCustomSampleOrders must: not contain two structures
    with matching values for both the pname:shadingRate and
    pname:sampleCount members.
****
include::../validity/structs/VkPipelineViewportCoarseSampleOrderStateCreateInfoNV.txt[]
--

[open,refpage='VkCoarseSampleOrderTypeNV',desc='Shading rate image sample ordering types',type='enums']
--

The type elink:VkCoarseSampleOrderTypeNV specifies the technique used to
order coverage samples in fragments larger than one pixel, and is defined
as:

include::../api/enums/VkCoarseSampleOrderTypeNV.txt[]

  * ename:VK_COARSE_SAMPLE_ORDER_TYPE_DEFAULT_NV specifies that coverage
    samples will be ordered in an implementation-dependent manner.
  * ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV specifies that coverage
    samples will be ordered according to the array of custom orderings
    provided in either the pname:pCustomSampleOrders member of
    sname:VkPipelineViewportCoarseSampleOrderStateCreateInfoNV or the
    pname:pCustomSampleOrders member of flink:vkCmdSetCoarseSampleOrderNV.
  * ename:VK_COARSE_SAMPLE_ORDER_TYPE_PIXEL_MAJOR_NV specifies that coverage
    samples will be ordered sequentially, sorted first by pixel coordinate
    (in row-major order) and then by coverage sample number.
  * ename:VK_COARSE_SAMPLE_ORDER_TYPE_SAMPLE_MAJOR_NV specifies that
    coverage samples will be ordered sequentially, sorted first by coverage
    sample number and then by pixel coordinate (in row-major order).

--

When using a coarse sample order of
ename:VK_COARSE_SAMPLE_ORDER_TYPE_PIXEL_MAJOR_NV for a fragment with an
upper-left corner of latexmath:[(fx,fy)] with a width of latexmath:[fw
\times fh] and latexmath:[fsc] coverage samples per pixel, sample
latexmath:[cs] of the fragment will be assigned to sample latexmath:[fs] of
pixel latexmath:[(px,py)] will be assigned as follows:

[latexmath]
+++++++++++++++++++
\begin{aligned}
px = & fx + (\lfloor {cs \over fsc} \rfloor \text{ \% } fw) \\
py = & fy + \lfloor {cs \over {fsc \times fw}} \rfloor \\
fs = & cs \text{ \% } fsc
\end{aligned}
+++++++++++++++++++

When using a coarse sample order of
ename:VK_COARSE_SAMPLE_ORDER_TYPE_SAMPLE_MAJOR_NV, sample latexmath:[cs]
will be assigned as follows:

[latexmath]
+++++++++++++++++++
\begin{aligned}
px = & fx + cs \text{ \% } fw \\
py = & (fy + \lfloor {cs \over fw} \rfloor \text{ \% } fh) \\
fs = & \lfloor {cs \over {fw \times fh}} \rfloor
\end{aligned}
+++++++++++++++++++

[open,refpage='VkCoarseSampleOrderCustomNV',desc='Structure specifying parameters controlling shading rate image usage',type='structs']
--

The sname:VkCoarseSampleOrderCustomNV structure is used with a coverage
sample ordering type of ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV to
specify the order of coverage samples for one combination of fragment width,
fragment height, and coverage sample count.
The structure is defined as:

include::../api/structs/VkCoarseSampleOrderCustomNV.txt[]

  * pname:shadingRate is a shading rate palette entry that identifies the
    fragment width and height for the combination of fragment area and
    per-pixel coverage sample count to control.
  * pname:sampleCount identifies the per-pixel coverage sample count for the
    combination of fragment area and coverage sample count to control.
  * pname:sampleLocationCount specifies the number of sample locations in
    the custom ordering.
  * pname:pSampleLocations is a pointer to an array of
    slink:VkCoarseSampleOrderCustomNV structures that specifies the location
    of each sample in the custom ordering.

When using a custom sample ordering, element _i_ in pname:pSampleLocations
specifies a specific pixel and per-pixel coverage sample number that
corresponds to the coverage sample numbered _i_ in the multi-pixel fragment.

.Valid Usage
****
  * [[VUID-VkCoarseSampleOrderCustomNV-shadingRate-02073]]
    pname:shadingRate must: be a shading rate that generates fragments with
    more than one pixel.
  * [[VUID-VkCoarseSampleOrderCustomNV-sampleCount-02074]]
    pname:sampleCount must: correspond to a sample count enumerated in
    elink:VkSampleCountFlags whose corresponding bit is set in
    slink:VkPhysicalDeviceLimits::pname:framebufferNoAttachmentsSampleCounts.
  * [[VUID-VkCoarseSampleOrderCustomNV-sampleLocationCount-02075]]
    pname:sampleLocationCount must: be equal to the product of
    pname:sampleCount, the fragment width for pname:shadingRate, and the
    fragment height for pname:shadingRate.
  * [[VUID-VkCoarseSampleOrderCustomNV-sampleLocationCount-02076]]
    pname:sampleLocationCount must: be less than or equal to the value of
    sname:VkPhysicalDeviceShadingRateImagePropertiesNV::pname:shadingRateMaxCoarseSamples.
  * [[VUID-VkCoarseSampleOrderCustomNV-pSampleLocations-02077]]
    The array pname:pSampleLocations must: contain exactly one entry for
    every combination of valid values for pname:pixelX, pname:pixelY, and
    pname:sample in the structure slink:VkCoarseSampleOrderCustomNV.
****
include::../validity/structs/VkCoarseSampleOrderCustomNV.txt[]
--

[open,refpage='VkCoarseSampleLocationNV',desc='Structure specifying parameters controlling shading rate image usage',type='structs']
--

The sname:VkCoarseSampleLocationNV structure identifies a specific pixel and
sample number for one of the coverage samples in a fragment that is larger
than one pixel.
This structure is defined as:

include::../api/structs/VkCoarseSampleLocationNV.txt[]

  * pname:pixelX is added to the x coordinate of the upper-leftmost pixel of
    each fragment to identify the pixel containing the coverage sample.
  * pname:pixelY is added to the y coordinate of the upper-leftmost pixel of
    each fragment to identify the pixel containing the coverage sample.
  * pname:sample is the number of the coverage sample in the pixel
    identified by pname:pixelX and pname:pixelY.

.Valid Usage
****
  * [[VUID-VkCoarseSampleLocationNV-pixelX-02078]]
    pname:pixelX must: be less than the width (in pixels) of the fragment.
  * [[VUID-VkCoarseSampleLocationNV-pixelY-02079]]
    pname:pixelY must: be less than the height (in pixels) of the fragment.
  * [[VUID-VkCoarseSampleLocationNV-sample-02080]]
    pname:sample must: be less than the number of coverage samples in each
    pixel belonging to the fragment.
****

include::../validity/structs/VkCoarseSampleLocationNV.txt[]
--

[open,refpage='vkCmdSetCoarseSampleOrderNV',desc='Set sample order for coarse fragments on a command buffer',type='protos']
--

If a pipeline state object is created with
ename:VK_DYNAMIC_STATE_VIEWPORT_COARSE_SAMPLE_ORDER_NV enabled, the order of
coverage samples in fragments larger than one pixel is set by the command:

include::../api/protos/vkCmdSetCoarseSampleOrderNV.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:sampleOrderType specifies the mechanism used to order coverage
    samples in fragments larger than one pixel.
  * pname:customSampleOrderCount specifies the number of custom sample
    orderings to use when ordering coverage samples.
  * pname:pCustomSampleOrders is a pointer to an array of
    slink:VkCoarseSampleOrderCustomNV structures, each of which specifies
    the coverage sample order for a single combination of fragment area and
    coverage sample count.

If pname:sampleOrderType is ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV, the
coverage sample order used for any combination of fragment area and coverage
sample count not enumerated in pname:pCustomSampleOrders will be identical
to that used for ename:VK_COARSE_SAMPLE_ORDER_TYPE_DEFAULT_NV.

.Valid Usage
****
  * [[VUID-vkCmdSetCoarseSampleOrderNV-sampleOrderType-02081]]
    If pname:sampleOrderType is not
    ename:VK_COARSE_SAMPLE_ORDER_TYPE_CUSTOM_NV,
    pname:customSamplerOrderCount must: be `0`
  * [[VUID-vkCmdSetCoarseSampleOrderNV-pCustomSampleOrders-02235]]
    The array pname:pCustomSampleOrders must: not contain two structures
    with matching values for both the pname:shadingRate and
    pname:sampleCount members.

****

include::../validity/protos/vkCmdSetCoarseSampleOrderNV.txt[]
--

If the final shading rate for a primitive covering pixel (_x_,_y_) results
in _n_ invocations per pixel (_n_ > 1), _n_ separate fragment shader
invocations will be generated for the fragment.
Each coverage sample in the fragment will be assigned to one of the _n_
fragment shader invocations in an implementation-dependent manner.
The outputs from the <<interfaces-fragmentoutput, fragment output
interface>> of each shader invocation will be broadcast to all of the
framebuffer samples associated with the invocation.
If none of the coverage samples associated with a fragment shader invocation
is covered by a primitive, the implementation may: discard the fragment
shader invocation for those samples.

If the final shading rate for a primitive covering pixel (_x_,_y_) results
in a fragment containing multiple pixels, a single set of fragment shader
invocations will be generated for all pixels in the combined fragment.
Outputs from the <<interfaces-fragmentoutput, fragment output interface>>
will be broadcast to all covered framebuffer samples belonging to the
fragment.
If the fragment shader executes code discarding the fragment, none of the
samples of the fragment will be updated.

endif::VK_NV_shading_rate_image[]

[[primsrast-sampleshading]]
== Sample Shading

Sample shading can: be used to specify a minimum number of unique samples to
process for each fragment.
If sample shading is enabled an implementation must: provide a minimum of
[eq]#max({lceil} pname:minSampleShadingFactor {times} pname:totalSamples
{rceil}, 1)# unique associated data for each fragment, where
pname:minSampleShadingFactor is the minimum fraction of sample shading.
ifdef::VK_AMD_mixed_attachment_samples[]
If the `VK_AMD_mixed_attachment_samples` extension is enabled and the
subpass uses color attachments, pname:totalSamples is the number of samples
of the color attachments.
Otherwise,
endif::VK_AMD_mixed_attachment_samples[]
pname:totalSamples is the value of
slink:VkPipelineMultisampleStateCreateInfo::pname:rasterizationSamples
specified at pipeline creation time.
These are associated with the samples in an implementation-dependent manner.
When pname:minSampleShadingFactor is `1.0`, a separate set of associated
data are evaluated for each sample, and each set of values is evaluated at
the sample location.

Sample shading is enabled for a graphics pipeline:

  * If the interface of the fragment shader entry point of the graphics
    pipeline includes an input variable decorated with code:SampleId or
    code:SamplePosition.
    In this case pname:minSampleShadingFactor takes the value `1.0`.
  * Else if the pname:sampleShadingEnable member of the
    slink:VkPipelineMultisampleStateCreateInfo structure specified when
    creating the graphics pipeline is set to ename:VK_TRUE.
    In this case pname:minSampleShadingFactor takes the value of
    slink:VkPipelineMultisampleStateCreateInfo::pname:minSampleShading.

Otherwise, sample shading is considered disabled.


ifdef::VK_NV_fragment_shader_barycentric[]

[[primsrast-barycentric]]
== Barycentric Interpolation

When the pname:fragmentShaderBarycentric feature is enabled, the
code:PerVertexNV <<shaders-interpolation-decorations, interpolation
decoration>> can: be used with fragment shader inputs to indicate that the
decorated inputs do not have associated data in the fragment.
Such inputs can: only be accessed in a fragment shader using an array index
whose value (0, 1, or 2) identifies one of the vertices of the primitive
that produced the fragment.

ifndef::VK_NV_mesh_shader[]
When <<tessellation, tessellation>> and <<geometry, geometry shading>>
endif::VK_NV_mesh_shader[]
ifdef::VK_NV_mesh_shader[]
When <<tessellation, tessellation>>, <<geometry, geometry shading>>, and
<<mesh,mesh shading>>
endif::VK_NV_mesh_shader[]
are not active, fragment shader inputs decorated with code:PerVertexNV will
take values from one of the vertices of the primitive that produced the
fragment, identified by the extra index provided in SPIR-V code accessing
the input.
If the _n_ vertices passed to a draw call are numbered 0 through _n_-1, and
the point, line, and triangle primitives produced by the draw call are
numbered with consecutive integers beginning with zero, the following table
indicates the original vertex numbers used for index values of 0, 1, and 2.
If an input decorated with code:PerVertexNV is accessed with any other
vertex index value, the value obtained is undefined.

[[primsrast-barycentric-order-table]]
[options="header"]
|======
| Primitive Topology                                               | Vertex 0    | Vertex 1    | Vertex 2
| ename:VK_PRIMITIVE_TOPOLOGY_POINT_LIST                           | i           | -           | -
| ename:VK_PRIMITIVE_TOPOLOGY_LINE_LIST                            | 2i          | 2i+1        | -
| ename:VK_PRIMITIVE_TOPOLOGY_LINE_STRIP                           | i           | i+1         | -
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_LIST                        | 3i          | 3i+1        | 3i+2
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP (even)                | i           | i+1         | i+2
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP (odd)                 | i           | i+2         | i+1
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_FAN                         | i+1         | i+2         | 0
| ename:VK_PRIMITIVE_TOPOLOGY_LINE_LIST_WITH_ADJACENCY             | 4i+1        | 4i+2        | -
| ename:VK_PRIMITIVE_TOPOLOGY_LINE_STRIP_WITH_ADJACENCY            | i+1         | i+2         | -
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_LIST_WITH_ADJACENCY         | 6i          | 6i+2        | 6i+4
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP_WITH_ADJACENCY (even) | 2i          | 2i+2        | 2i+4
| ename:VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP_WITH_ADJACENCY (odd)  | 2i          | 2i+4        | 2i+2
|======

When geometry
ifdef::VK_NV_mesh_shader[]
or mesh
endif::VK_NV_mesh_shader[]
shading is active, primitives processed by fragment shaders are assembled
from the vertices emitted by the geometry
ifdef::VK_NV_mesh_shader[]
or mesh
endif::VK_NV_mesh_shader[]
shader.
In this case, the vertices used for fragment shader inputs decorated with
code:PerVertexNV are derived by treating the primitives produced by the
shader as though they were specified by a draw call and consulting
<<primsrast-barycentric-order-table, the table above>>.

When using tessellation without geometry shading, the tessellator produces
primitives in an implementation-dependent manner.
While there is no defined vertex ordering for inputs decorated with
code:PerVertexNV, the vertex ordering used in this case will be consistent
with the ordering used to derive the values of inputs decorated with
code::BaryCoordNV or code::BaryCoordNoPerspNV.

Fragment shader inputs decorated with code:BaryCoordNV or
code:BaryCoordNoPerspNV hold three-component vectors with barycentric
weights that indicate the location of the fragment relative to the
screen-space locations of vertices of its primitive.
For point primitives, such variables are always assigned the value (1,0,0).
For <<primsrast-line-basic, line>> primitives, the built-ins are obtained by
interpolating an attribute whose values for the vertices numbered 0 and 1
are (1,0,0) and (0,1,0), respectively.
For <<primsrast-polygon-basic, polygon>> primitives, the built-ins are
obtained by interpolating an attribute whose values for the vertices
numbered 0, 1, and 2 are (1,0,0), (0,1,0), and (0,0,1), respectively.
For code:BaryCoordNV, the values are obtained using perspective
interpolation.
For code:BaryCoordNoPerspNV, the values are obtained using linear
interpolation.

endif::VK_NV_fragment_shader_barycentric[]

[[primsrast-points]]
== Points

A point is drawn by generating a set of fragments in the shape of a square
centered around the vertex of the point.
Each vertex has an associated point size that controls the width/height of
that square.
The point size is taken from the (potentially clipped) shader built-in
code:PointSize written by:

  * the geometry shader, if active;
  * the tessellation evaluation shader, if active and no geometry shader is
    active;
  * the vertex shader, otherwise

and clamped to the implementation-dependent point size range
[eq]#[pname:pointSizeRange[0],pname:pointSizeRange[1]]#.
The value written to code:PointSize must: be greater than zero.

Not all point sizes need be supported, but the size 1.0 must: be supported.
The range of supported sizes and the size of evenly-spaced gradations within
that range are implementation-dependent.
The range and gradations are obtained from the pname:pointSizeRange and
pname:pointSizeGranularity members of slink:VkPhysicalDeviceLimits.
If, for instance, the size range is from 0.1 to 2.0 and the gradation size
is 0.1, then the size 0.1, 0.2, ..., 1.9, 2.0 are supported.
Additional point sizes may: also be supported.
There is no requirement that these sizes be equally spaced.
If an unsupported size is requested, the nearest supported size is used
instead.

ifdef::VK_EXT_fragment_density_map[]
Further, if the render pass has a fragment density map attachment, point
size may: be rounded by the implementation to a multiple of the fragment's
width or height.
endif::VK_EXT_fragment_density_map[]

[[primsrast-points-basic]]
=== Basic Point Rasterization

Point rasterization produces a fragment for each fragment area group of
framebuffer pixels with one or more sample points that intersect a region
centered at the point's [eq]#(x~f~,y~f~)#.
This region is a square with side equal to the current point size.
Coverage bits that correspond to sample points that intersect the region are
1, other coverage bits are 0.
All fragments produced in rasterizing a point are assigned the same
associated data, which are those of the vertex corresponding to the point.
However, the fragment shader built-in code:PointCoord contains point sprite
texture coordinates.
The [eq]#s# and [eq]#t# point sprite texture coordinates vary from zero to
one across the point horizontally left-to-right and top-to-bottom,
respectively.
The following formulas are used to evaluate [eq]#s# and [eq]#t#:

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
s = {1 \over 2} + { \left( x_p - x_f \right) \over \text{size} }
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
t = {1 \over 2} + { \left( y_p - y_f \right) \over \text{size} }
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where size is the point's size; [eq]#(x~p~,y~p~)# is the location at which
the point sprite coordinates are evaluated - this may: be the framebuffer
coordinates of the fragment center, or the location of a sample; and
[eq]#(x~f~,y~f~)# is the exact, unrounded framebuffer coordinate of the
vertex for the point.


[[primsrast-lines]]
== Line Segments

A line is drawn by generating a set of fragments overlapping a rectangle
centered on the line segment.
Each line segment has an associated width that controls the width of that
rectangle.

[open,refpage='vkCmdSetLineWidth',desc='Set the dynamic line width state',type='protos']
--

The line width is specified by the
slink:VkPipelineRasterizationStateCreateInfo::pname:lineWidth property of
the currently active pipeline, if the pipeline was not created with
ename:VK_DYNAMIC_STATE_LINE_WIDTH enabled.

Otherwise, the line width is set by calling fname:vkCmdSetLineWidth:

include::../api/protos/vkCmdSetLineWidth.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:lineWidth is the width of rasterized line segments.

.Valid Usage
****
  * [[VUID-vkCmdSetLineWidth-None-00787]]
    The bound graphics pipeline must: have been created with the
    ename:VK_DYNAMIC_STATE_LINE_WIDTH dynamic state enabled
  * [[VUID-vkCmdSetLineWidth-lineWidth-00788]]
    If the <<features-features-wideLines,wide lines>> feature is not
    enabled, pname:lineWidth must: be `1.0`
****

include::../validity/protos/vkCmdSetLineWidth.txt[]
--

Not all line widths need be supported for line segment rasterization, but
width 1.0 antialiased segments must: be provided.
The range and gradations are obtained from the pname:lineWidthRange and
pname:lineWidthGranularity members of slink:VkPhysicalDeviceLimits.
If, for instance, the size range is from 0.1 to 2.0 and the gradation size
is 0.1, then the size 0.1, 0.2, ..., 1.9, 2.0 are supported.
Additional line widths may: also be supported.
There is no requirement that these widths be equally spaced.
If an unsupported width is requested, the nearest supported width is used
instead.

ifdef::VK_EXT_fragment_density_map[]
Further, if the render pass has a fragment density map attachment, line
width may: be rounded by the implementation to a multiple of the fragment's
width or height.
endif::VK_EXT_fragment_density_map[]

[[primsrast-lines-basic]]
=== Basic Line Segment Rasterization

Rasterized line segments produce fragments which intersect a rectangle
centered on the line segment.
Two of the edges are parallel to the specified line segment; each is at a
distance of one-half the current width from that segment in directions
perpendicular to the direction of the line.
The other two edges pass through the line endpoints and are perpendicular to
the direction of the specified line segment.
Coverage bits that correspond to sample points that intersect the rectangle
are 1, other coverage bits are 0.

Next we specify how the data associated with each rasterized fragment are
obtained.
Let [eq]#**p**~r~ = (x~d~, y~d~)# be the framebuffer coordinates at which
associated data are evaluated.
This may: be the center of a fragment or the location of a sample within the
fragment.
When pname:rasterizationSamples is ename:VK_SAMPLE_COUNT_1_BIT, the fragment
center must: be used.
Let [eq]#**p**~a~ = (x~a~, y~a~)# and [eq]#**p**~b~ = (x~b~,y~b~)# be
initial and final endpoints of the line segment, respectively.
Set

// Equation {linet:eq}
[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
t = {{( \mathbf{p}_r - \mathbf{p}_a ) \cdot ( \mathbf{p}_b - \mathbf{p}_a )}
    \over {\| \mathbf{p}_b - \mathbf{p}_a \|^2 }}
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

(Note that [eq]#t = 0# at [eq]#**p**~a~# and [eq]#t = 1# at [eq]#**p**~b~#.
Also note that this calculation projects the vector from [eq]#**p**~a~# to
[eq]#**p**~r~# onto the line, and thus computes the normalized distance of
the fragment along the line.)

[[line_perspective_interpolation]]
The value of an associated datum [eq]#f# for the fragment, whether it be a
shader output or the clip [eq]#w# coordinate, must: be determined using
_perspective interpolation_:

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
f = {{ (1-t) {f_a / w_a} + t { f_b / w_b} } \over
    {(1-t) / w_a + t / w_b }}
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where [eq]#f~a~# and [eq]#f~b~# are the data associated with the starting
and ending endpoints of the segment, respectively; [eq]#w~a~# and [eq]#w~b~#
are the clip [eq]#w# coordinates of the starting and ending endpoints of the
segments, respectively.

[[line_linear_interpolation]]
Depth values for lines must: be determined using _linear interpolation_:

  :: [eq]#z = (1 - t) z~a~ {plus} t z~b~#

where [eq]#z~a~# and [eq]#z~b~# are the depth values of the starting and
ending endpoints of the segment, respectively.

The code:NoPerspective and code:Flat
<<shaders-interpolation-decorations,interpolation decorations>> can: be used
with fragment shader inputs to declare how they are interpolated.
When neither decoration is applied, <<line_perspective_interpolation,
perspective interpolation>> is performed as described above.
When the code:NoPerspective decoration is used, <<line_linear_interpolation,
linear interpolation>> is performed in the same fashion as for depth values,
as described above.
When the code:Flat decoration is used, no interpolation is performed, and
outputs are taken from the corresponding input value of the
<<vertexpostproc-flatshading,provoking vertex>> corresponding to that
primitive.

ifdef::VK_NV_fragment_shader_barycentric[]
When the pname:fragmentShaderBarycentric feature is enabled, the
code:PerVertexNV <<shaders-interpolation-decorations, interpolation
decoration>> can: also be used with fragment shader inputs which indicate
that the decorated inputs are not interpolated and can: only be accessed
using an extra array dimension, where the extra index identifies one of the
vertices of the primitive that produced the fragment.
endif::VK_NV_fragment_shader_barycentric[]

The above description documents the preferred method of line rasterization,
and must: be used when the implementation advertises the pname:strictLines
limit in slink:VkPhysicalDeviceLimits as ename:VK_TRUE.

When pname:strictLines is ename:VK_FALSE, the edges of the lines are
generated as a parallelogram surrounding the original line.
The major axis is chosen by noting the axis in which there is the greatest
distance between the line start and end points.
If the difference is equal in both directions then the X axis is chosen as
the major axis.
Edges 2 and 3 are aligned to the minor axis and are centered on the
endpoints of the line as in <<fig-non-strict-lines>>, and each is
pname:lineWidth long.
Edges 0 and 1 are parallel to the line and connect the endpoints of edges 2
and 3.
Coverage bits that correspond to sample points that intersect the
parallelogram are 1, other coverage bits are 0.

Samples that fall exactly on the edge of the parallelogram follow the
polygon rasterization rules.

Interpolation occurs as if the parallelogram was decomposed into two
triangles where each pair of vertices at each end of the line has identical
attributes.

[[fig-non-strict-lines]]
image::images/non_strict_lines.svg[align="center",title="Non strict lines",opts="{imageopts}"]


[[primsrast-polygons]]
== Polygons

A polygon results from the decomposition of a triangle strip, triangle fan
or a series of independent triangles.
Like points and line segments, polygon rasterization is controlled by
several variables in the slink:VkPipelineRasterizationStateCreateInfo
structure.


[[primsrast-polygons-basic]]
=== Basic Polygon Rasterization

[open,refpage='VkFrontFace',desc='Interpret polygon front-facing orientation',type='enums']
--

The first step of polygon rasterization is to determine whether the triangle
is _back-facing_ or _front-facing_.
This determination is made based on the sign of the (clipped or unclipped)
polygon's area computed in framebuffer coordinates.
One way to compute this area is:

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
a = -{1 \over 2}\sum_{i=0}^{n-1}
      x_f^i y_f^{i \oplus 1} -
      x_f^{i \oplus 1} y_f^i
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where latexmath:[x_f^i] and latexmath:[y_f^i] are the [eq]#x# and [eq]#y#
framebuffer coordinates of the [eq]##i##th vertex of the [eq]#n#-vertex
polygon (vertices are numbered starting at zero for the purposes of this
computation) and [eq]#i {oplus} 1# is [eq]#(i {plus} 1) mod n#.

The interpretation of the sign of [eq]#a# is determined by the
slink:VkPipelineRasterizationStateCreateInfo::pname:frontFace property of
the currently active pipeline.
Possible values are:

include::../api/enums/VkFrontFace.txt[]

  * ename:VK_FRONT_FACE_COUNTER_CLOCKWISE specifies that a triangle with
    positive area is considered front-facing.
  * ename:VK_FRONT_FACE_CLOCKWISE specifies that a triangle with negative
    area is considered front-facing.

Any triangle which is not front-facing is back-facing, including zero-area
triangles.

--

[open,refpage='VkCullModeFlagBits',desc='Bitmask controlling triangle culling',type='enums']
--

Once the orientation of triangles is determined, they are culled according
to the slink:VkPipelineRasterizationStateCreateInfo::pname:cullMode property
of the currently active pipeline.
Possible values are:

include::../api/enums/VkCullModeFlagBits.txt[]

  * ename:VK_CULL_MODE_NONE specifies that no triangles are discarded
  * ename:VK_CULL_MODE_FRONT_BIT specifies that front-facing triangles are
    discarded
  * ename:VK_CULL_MODE_BACK_BIT specifies that back-facing triangles are
    discarded
  * ename:VK_CULL_MODE_FRONT_AND_BACK specifies that all triangles are
    discarded.

Following culling, fragments are produced for any triangles which have not
been discarded.

--

[open,refpage='VkCullModeFlags',desc='Bitmask of VkCullModeFlagBits',type='flags']
--
include::../api/flags/VkCullModeFlags.txt[]

tname:VkCullModeFlags is a bitmask type for setting a mask of zero or more
elink:VkCullModeFlagBits.
--

The rule for determining which fragments are produced by polygon
rasterization is called _point sampling_.
The two-dimensional projection obtained by taking the x and y framebuffer
coordinates of the polygon's vertices is formed.
Fragments are produced for any fragment area groups of pixels for which any
sample points lie inside of this polygon.
Coverage bits that correspond to sample points that satisfy the point
sampling criteria are 1, other coverage bits are 0.
Special treatment is given to a sample whose sample location lies on a
polygon edge.
In such a case, if two polygons lie on either side of a common edge (with
identical endpoints) on which a sample point lies, then exactly one of the
polygons must: result in a covered sample for that fragment during
rasterization.
As for the data associated with each fragment produced by rasterizing a
polygon, we begin by specifying how these values are produced for fragments
in a triangle.
Define _barycentric coordinates_ for a triangle.
Barycentric coordinates are a set of three numbers, [eq]#a#, [eq]#b#, and
[eq]#c#, each in the range [eq]#[0,1]#, with [eq]#a {plus} b {plus} c = 1#.
These coordinates uniquely specify any point [eq]#p# within the triangle or
on the triangle's boundary as

  :: [eq]#p = a p~a~ {plus} b p~b~ {plus} c p~c~#

where [eq]#p~a~#, [eq]#p~b~#, and [eq]#p~c~# are the vertices of the
triangle.
[eq]#a#, [eq]#b#, and [eq]#c# are determined by:

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
a = {{\mathrm{A}(p p_b p_c)} \over {\mathrm{A}(p_a p_b p_c)}}, \quad
b = {{\mathrm{A}(p p_a p_c)} \over {\mathrm{A}(p_a p_b p_c)}}, \quad
c = {{\mathrm{A}(p p_a p_b)} \over {\mathrm{A}(p_a p_b p_c)}},
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where [eq]#A(lmn)# denotes the area in framebuffer coordinates of the
triangle with vertices [eq]#l#, [eq]#m#, and [eq]#n#.

Denote an associated datum at [eq]#p~a~#, [eq]#p~b~#, or [eq]#p~c~# as
[eq]#f~a~#, [eq]#f~b~#, or [eq]#f~c~#, respectively.

[[triangle_perspective_interpolation]]
The value of an associated datum [eq]#f# for a fragment produced by
rasterizing a triangle, whether it be a shader output or the clip [eq]#w#
coordinate, must: be determined using perspective interpolation:

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
f = { a {f_a / w_a} + b {f_b / w_b} + c {f_c / w_c} } \over
    { {a / w_a} + {b / w_b} + {c / w_c} }
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where [eq]#w~a~#, [eq]#w~b~#, and [eq]#w~c~# are the clip [eq]#w#
coordinates of [eq]#p~a~#, [eq]#p~b~#, and [eq]#p~c~#, respectively.
[eq]#a#, [eq]#b#, and [eq]#c# are the barycentric coordinates of the
location at which the data are produced - this must: be the location of the
fragment center or the location of a sample.
When pname:rasterizationSamples is ename:VK_SAMPLE_COUNT_1_BIT, the fragment
center must: be used.

[[triangle_linear_interpolation]]
Depth values for triangles must: be determined using linear interpolation:

  :: [eq]#z = a z~a~ {plus} b z~b~ {plus} c z~c~#

where [eq]#z~a~#, [eq]#z~b~#, and [eq]#z~c~# are the depth values of
[eq]#p~a~#, [eq]#p~b~#, and [eq]#p~c~#, respectively.

The code:NoPerspective and code:Flat
<<shaders-interpolation-decorations,interpolation decorations>> can: be used
with fragment shader inputs to declare how they are interpolated.
When neither decoration is applied, <<triangle_perspective_interpolation,
perspective interpolation>> is performed as described above.
When the code:NoPerspective decoration is used,
<<triangle_linear_interpolation, linear interpolation>> is performed in the
same fashion as for depth values, as described above.
When the code:Flat decoration is used, no interpolation is performed, and
outputs are taken from the corresponding input value of the
<<vertexpostproc-flatshading,provoking vertex>> corresponding to that
primitive.

ifdef::VK_AMD_shader_explicit_vertex_parameter[]
When the `<<VK_AMD_shader_explicit_vertex_parameter>>` device extension is
enabled the code:CustomInterpAMD <<shaders-interpolation-decorations,
interpolation decoration>> can: also be used with fragment shader inputs
which indicate that the decorated inputs can: only be accessed by the
extended instruction code:InterpolateAtVertexAMD and allows accessing the
value of the inputs for individual vertices of the primitive.
endif::VK_AMD_shader_explicit_vertex_parameter[]

ifdef::VK_NV_fragment_shader_barycentric[]
When the pname:fragmentShaderBarycentric feature is enabled, the
code:PerVertexNV <<shaders-interpolation-decorations, interpolation
decoration>> can: also be used with fragment shader inputs which indicate
that the decorated inputs are not interpolated and can: only be accessed
using an extra array dimension, where the extra index identifies one of the
vertices of the primitive that produced the fragment.
endif::VK_NV_fragment_shader_barycentric[]

For a polygon with more than three edges, such as are produced by clipping a
triangle, a convex combination of the values of the datum at the polygon's
vertices must: be used to obtain the value assigned to each fragment
produced by the rasterization algorithm.
That is, it must: be the case that at every fragment

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
f = \sum_{i=1}^{n} a_i f_i
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where [eq]#n# is the number of vertices in the polygon and [eq]#f~i~# is the
value of [eq]#f# at vertex [eq]#i#.
For each [eq]#i#, [eq]#0 {leq} a~i~ {leq} 1# and
latexmath:[\sum_{i=1}^{n}a_i = 1].
The values of [eq]#a~i~# may: differ from fragment to fragment, but at
vertex [eq]#i#, [eq]#a~i~ = 1# and [eq]#a~j~ = 0# for [eq]#j {neq} i#.

[NOTE]
.Note
====
One algorithm that achieves the required behavior is to triangulate a
polygon (without adding any vertices) and then treat each triangle
individually as already discussed.
A scan-line rasterizer that linearly interpolates data along each edge and
then linearly interpolates data across each horizontal span from edge to
edge also satisfies the restrictions (in this case, the numerator and
denominator of equation <<triangle_perspective_interpolation>> are iterated
independently and a division performed for each fragment).
====


[[primsrast-polygonmode]]
=== Polygon Mode

[open,refpage='VkPolygonMode',desc='Control polygon rasterization mode',type='enums']
--

Possible values of the
slink:VkPipelineRasterizationStateCreateInfo::pname:polygonMode property of
the currently active pipeline, specifying the method of rasterization for
polygons, are:

include::../api/enums/VkPolygonMode.txt[]

  * ename:VK_POLYGON_MODE_POINT specifies that polygon vertices are drawn as
    points.
  * ename:VK_POLYGON_MODE_LINE specifies that polygon edges are drawn as
    line segments.
  * ename:VK_POLYGON_MODE_FILL specifies that polygons are rendered using
    the polygon rasterization rules in this section.
ifdef::VK_NV_fill_rectangle[]
  * ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV specifies that polygons are
    rendered using polygon rasterization rules, modified to consider a
    sample within the primitive if the sample location is inside the
    axis-aligned bounding box of the triangle after projection.
    Note that the barycentric weights used in attribute interpolation can:
    extend outside the range [eq]#[0,1]# when these primitives are shaded.
    Special treatment is given to a sample position on the boundary edge of
    the bounding box.
    In such a case, if two rectangles lie on either side of a common edge
    (with identical endpoints) on which a sample position lies, then exactly
    one of the triangles must: produce a fragment that covers that sample
    during rasterization.
+
Polygons rendered in ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV mode may: be
    clipped by the frustum or by user clip planes.
    If clipping is applied, the triangle is culled rather than clipped.
+
Area calculation and facingness are determined for
    ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV mode using the triangle's
    vertices.
endif::VK_NV_fill_rectangle[]

These modes affect only the final rasterization of polygons: in particular,
a polygon's vertices are shaded and the polygon is clipped and possibly
culled before these modes are applied.

--


[[primsrast-depthbias]]
=== Depth Bias

[open,refpage='vkCmdSetDepthBias',desc='Set the depth bias dynamic state',type='protos']
--

The depth values of all fragments generated by the rasterization of a
polygon can: be offset by a single value that is computed for that polygon.
This behavior is controlled by the pname:depthBiasEnable,
pname:depthBiasConstantFactor, pname:depthBiasClamp, and
pname:depthBiasSlopeFactor members of
slink:VkPipelineRasterizationStateCreateInfo, or by the corresponding
parameters to the fname:vkCmdSetDepthBias command if depth bias state is
dynamic.

include::../api/protos/vkCmdSetDepthBias.txt[]

  * pname:commandBuffer is the command buffer into which the command will be
    recorded.
  * pname:depthBiasConstantFactor is a scalar factor controlling the
    constant depth value added to each fragment.
  * pname:depthBiasClamp is the maximum (or minimum) depth bias of a
    fragment.
  * pname:depthBiasSlopeFactor is a scalar factor applied to a fragment's
    slope in depth bias calculations.

If pname:depthBiasEnable is ename:VK_FALSE, no depth bias is applied and the
fragment's depth values are unchanged.

pname:depthBiasSlopeFactor scales the maximum depth slope of the polygon,
and pname:depthBiasConstantFactor scales an implementation-dependent
constant that relates to the usable resolution of the depth buffer.
The resulting values are summed to produce the depth bias value which is
then clamped to a minimum or maximum value specified by
pname:depthBiasClamp.
pname:depthBiasSlopeFactor, pname:depthBiasConstantFactor, and
pname:depthBiasClamp can: each be positive, negative, or zero.

The maximum depth slope [eq]#m# of a triangle is

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
m = \sqrt{ \left({{\partial z_f} \over {\partial x_f}}\right)^2
        +  \left({{\partial z_f} \over {\partial y_f}}\right)^2}
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

where [eq]#(x~f~, y~f~, z~f~)# is a point on the triangle.
[eq]#m# may: be approximated as

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
m = \max\left( \left| { {\partial z_f} \over {\partial x_f} } \right|,
               \left| { {\partial z_f} \over {\partial y_f} } \right|
       \right).
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

The minimum resolvable difference [eq]#r# is an implementation-dependent
parameter that depends on the depth buffer representation.
It is the smallest difference in framebuffer coordinate [eq]#z# values that
is guaranteed to remain distinct throughout polygon rasterization and in the
depth buffer.
All pairs of fragments generated by the rasterization of two polygons with
otherwise identical vertices, but [eq]#pname:z~f~# values that differ by
[eq]#r#, will have distinct depth values.

For fixed-point depth buffer representations, [eq]#r# is constant throughout
the range of the entire depth buffer.
For floating-point depth buffers, there is no single minimum resolvable
difference.
In this case, the minimum resolvable difference for a given polygon is
dependent on the maximum exponent, [eq]#e#, in the range of [eq]#z# values
spanned by the primitive.
If [eq]#n# is the number of bits in the floating-point mantissa, the minimum
resolvable difference, [eq]#r#, for the given primitive is defined as

  :: [eq]#r = 2^e-n^#

ifdef::VK_NV_fill_rectangle[]
If a triangle is rasterized using the
ename:VK_POLYGON_MODE_FILL_RECTANGLE_NV polygon mode, then this minimum
resolvable difference may: not be resolvable for samples outside of the
triangle, where the depth is extrapolated.
endif::VK_NV_fill_rectangle[]


If no depth buffer is present, [eq]#r# is undefined:.

The bias value [eq]#o# for a polygon is

[latexmath]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
\begin{aligned}
o &= \mathrm{dbclamp}( m \times \mathtt{depthBiasSlopeFactor} + r \times \mathtt{depthBiasConstantFactor} ) \\
\text{where} &\quad \mathrm{dbclamp}(x) =
\begin{cases}
    x                                 & \mathtt{depthBiasClamp} = 0 \ \text{or}\ \texttt{NaN} \\
    \min(x, \mathtt{depthBiasClamp})  & \mathtt{depthBiasClamp} > 0 \\
    \max(x, \mathtt{depthBiasClamp})  & \mathtt{depthBiasClamp} < 0 \\
\end{cases}
\end{aligned}
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

[eq]#m# is computed as described above.
If the depth buffer uses a fixed-point representation, [eq]#m# is a function
of depth values in the range [eq]#[0,1]#, and [eq]#o# is applied to depth
values in the same range.

For fixed-point depth buffers, fragment depth values are always limited to
the range [eq]#[0,1]# by clamping after depth bias addition is performed.
ifdef::VK_EXT_depth_range_unrestricted[]
Unless the `<<VK_EXT_depth_range_unrestricted>>` extension is enabled,
fragment depth values are clamped even when the depth buffer uses a
floating-point representation.
endif::VK_EXT_depth_range_unrestricted[]
ifndef::VK_EXT_depth_range_unrestricted[]
Fragment depth values are clamped even when the depth buffer uses a
floating-point representation.
endif::VK_EXT_depth_range_unrestricted[]

.Valid Usage
****
  * [[VUID-vkCmdSetDepthBias-None-00789]]
    The bound graphics pipeline must: have been created with the
    ename:VK_DYNAMIC_STATE_DEPTH_BIAS dynamic state enabled
  * [[VUID-vkCmdSetDepthBias-depthBiasClamp-00790]]
    If the <<features-features-depthBiasClamp,depth bias clamping>> feature
    is not enabled, pname:depthBiasClamp must: be `0.0`
****

include::../validity/protos/vkCmdSetDepthBias.txt[]
--

ifdef::VK_EXT_conservative_rasterization[]
[[primsrast-conservativeraster]]
=== Conservative Rasterization

[open,refpage='VkPipelineRasterizationConservativeStateCreateInfoEXT',desc='Structure specifying conservative raster state',type='structs']
--

Polygon rasterization can: be made conservative by setting
pname:conservativeRasterizationMode to
ename:VK_CONSERVATIVE_RASTERIZATION_MODE_OVERESTIMATE_EXT or
ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT in
sname:VkPipelineRasterizationConservativeStateCreateInfoEXT.
The sname:VkPipelineRasterizationConservativeStateCreateInfoEXT state is set
by adding an instance of this structure to the pname:pNext chain of an
instance of the sname:VkPipelineRasterizationStateCreateInfo structure when
creating the graphics pipeline.
Enabling these modes also affects line and point rasterization if the
implementation sets
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:conservativePointAndLineRasterization
to pname:VK_TRUE.

sname:VkPipelineRasterizationConservativeStateCreateInfoEXT is defined as:

include::../api/structs/VkPipelineRasterizationConservativeStateCreateInfoEXT.txt[]

  * pname:sType is the type of this structure.
  * pname:pNext is `NULL` or a pointer to an extension-specific structure.
  * pname:flags is reserved for future use.
  * pname:conservativeRasterizationMode is the conservative rasterization
    mode to use.
  * pname:extraPrimitiveOverestimationSize is the extra size in pixels to
    increase the generating primitive during conservative rasterization at
    each of its edges in `X` and `Y` equally in screen space beyond the base
    overestimation specified in
    sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:primitiveOverestimationSize.

.Valid Usage
****
  * [[VUID-VkPipelineRasterizationConservativeStateCreateInfoEXT-extraPrimitiveOverestimationSize-01769]]
    pname:extraPrimitiveOverestimationSize must: be in the range of `0.0` to
    sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:maxExtraPrimitiveOverestimationSize
    inclusive
****

include::../validity/structs/VkPipelineRasterizationConservativeStateCreateInfoEXT.txt[]
--

[open,refpage='VkPipelineRasterizationConservativeStateCreateFlagsEXT',desc='Reserved for future use',type='flags']
--
include::../api/flags/VkPipelineRasterizationConservativeStateCreateFlagsEXT.txt[]

tname:VkPipelineRasterizationConservativeStateCreateFlagsEXT is a bitmask
type for setting a mask, but is currently reserved for future use.
--

[open,refpage='VkConservativeRasterizationModeEXT',desc='Specify the conservative rasterization mode',type='enums']
--

Possible values of
slink:VkPipelineRasterizationConservativeStateCreateInfoEXT::pname:conservativeRasterizationMode,
specifying the conservative rasterization mode are:

include::../api/enums/VkConservativeRasterizationModeEXT.txt[]

  * ename:VK_CONSERVATIVE_RASTERIZATION_MODE_DISABLED_EXT specifies that
    conservative rasterization is disabled and rasterization proceeds as
    normal.
  * ename:VK_CONSERVATIVE_RASTERIZATION_MODE_OVERESTIMATE_EXT specifies that
    conservative rasterization is enabled in overestimation mode.
  * ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT specifies
    that conservative rasterization is enabled in underestimation mode.

--

When overestimate conservative rasterization is enabled, rather than
evaluating coverage at individual sample locations, a determination is made
of whether any portion of the pixel (including its edges and corners) is
covered by the primitive.
If any portion of the pixel is covered, then all bits of the coverage sample
mask for the fragment corresponding to that pixel are enabled.
ifdef::VK_EXT_fragment_density_map[]
If the render pass has a fragment density map attachment and any bit of the
coverage sample mask for the fragment is enabled, then all bits of the
coverage sample mask for the fragment are enabled.
endif::VK_EXT_fragment_density_map[]

ifdef::VK_EXT_post_depth_coverage[]
If the implementation supports
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:conservativeRasterizationPostDepthCoverage
and the
<<shaders-fragment-earlytest-postdepthcoverage,code:PostDepthCoverage>>
execution mode is specified the code:SampleMask built-in input variable will
reflect the coverage after the early per-fragment depth and stencil tests
are applied.
endif::VK_EXT_post_depth_coverage[]

For the purposes of evaluating which pixels are covered by the primitive,
implementations can: increase the size of the primitive by up to
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:primitiveOverestimationSize
pixels at each of the primitive edges.
This may: increase the number of fragments generated by this primitive and
represents an overestimation of the pixel coverage.

This overestimation size can be increased further by setting the
pname:extraPrimitiveOverestimationSize value above `0.0` in steps of
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:extraPrimitiveOverestimationSizeGranularity
up to and including
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:extraPrimitiveOverestimationSize.
This will: further increase the number of fragments generated by this
primitive.

The actual precision of the overestimation size used for conservative
rasterization may: vary between implementations and produce results that
only approximate the pname:primitiveOverestimationSize and
pname:extraPrimitiveOverestimationSizeGranularity properties.
ifdef::VK_EXT_fragment_density_map[]
Implementations may: especially vary these approximations when the render
pass has a fragment density map and the fragment area covers multiple
pixels.
endif::VK_EXT_fragment_density_map[]

For triangles if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_OVERESTIMATE_EXT
is enabled, fragments will be generated if the primitive area covers any
portion of any pixel inside the fragment area, including their edges or
corners.
The tie-breaking rule described in <<primsrast-polygons-basic, Basic Polygon
Rasterization>> does not apply during conservative rasterization and
coverage is set for all fragments generated from shared edges of polygons.
Degenerate triangles that evaluate to zero area after rasterization, even
for pixels that contain a vertex or edge of the zero-area polygon, will be
culled if
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:degenerateTrianglesRasterized
is ename:VK_FALSE or will generate fragments if
pname:degenerateTrianglesRasterized is ename:VK_TRUE.
The fragment input values for these degenerate triangles take their
attribute and depth values from the provoking vertex.
Degenerate triangles are considered backfacing and the application can:
enable backface culling if desired.
Triangles that are zero area before rasterization may: be culled regardless.

For lines if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_OVERESTIMATE_EXT is
enabled, and the implementation sets
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:conservativePointAndLineRasterization
to ename:VK_TRUE, fragments will be generated if the line covers any portion
of any pixel inside the fragment area, including their edges or corners.
Degenerate lines that evaluate to zero length after rasterization will be
culled if
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:degenerateLinesRasterized
is ename:VK_FALSE or will generate fragments if
pname:degenerateLinesRasterized is ename:VK_TRUE.
The fragments input values for these degenerate lines take their attribute
and depth values from the provoking vertex.
Lines that are zero length before rasterization may: be culled regardless.

For points if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_OVERESTIMATE_EXT is
enabled, and the implementation sets
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:conservativePointAndLineRasterization
to ename:VK_TRUE, fragments will be generated if the point square covers any
portion of any pixel inside the fragment area, including their edges or
corners.

When underestimate conservative rasterization is enabled, rather than
evaluating coverage at individual sample locations, a determination is made
of whether all of the pixel (including its edges and corners) is covered by
the primitive.
If the entire pixel is covered, then a fragment is generated with all bits
of its coverage sample mask corresponding to the pixel enabled, otherwise
the pixel is not considered covered even if some portion of the pixel is
covered.
The fragment is discarded if no pixels inside the fragment area are
considered covered.
ifdef::VK_EXT_fragment_density_map[]
If the render pass has a fragment density map attachment and any pixel
inside the fragment area is not considered covered, then the fragment is
discarded even if some pixels are considered covered.
endif::VK_EXT_fragment_density_map[]

ifdef::VK_EXT_post_depth_coverage[]
If the implementation supports
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:conservativeRasterizationPostDepthCoverage
and the
<<shaders-fragment-earlytest-postdepthcoverage,code:PostDepthCoverage>>
execution mode is specified the code:SampleMask built-in input variable will
reflect the coverage after the early per-fragment depth and stencil tests
are applied.
endif::VK_EXT_post_depth_coverage[]

For triangles, if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT
is enabled, fragments will only be generated if any pixel inside the
fragment area is fully covered by the generating primitive, including its
edges and corners.

For lines, if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT is
enabled, fragments will be generated if any pixel inside the fragment area,
including its edges and corners, are entirely covered by the line.

For points, if ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT is
enabled, fragments will only be generated if the point square covers the
entirety of any pixel square inside the fragment area, including its edges
or corners.

ifdef::VK_EXT_fragment_density_map[]
If the render pass has a fragment density map and
ename:VK_CONSERVATIVE_RASTERIZATION_MODE_UNDERESTIMATE_EXT is enabled,
fragments will only be generated if the entirety of all pixels inside the
fragment area are covered by the generating primitive, line, or point.
endif::VK_EXT_fragment_density_map[]

For both overestimate and underestimate conservative rasterization modes a
fragment has all of its pixel squares fully covered by the generating
primitive must: set code:FullyCoveredEXT to pname:VK_TRUE if the
implementation enables the
sname:VkPhysicalDeviceConservativeRasterizationPropertiesEXT::pname:fullyCoveredFragmentShaderInputVariable
feature.

ifdef::VK_NV_shading_rate_image[]

When the use of a <<primsrast-shading-rate-image, shading rate image>>
results in fragments covering multiple pixels, coverage for conservative
rasterization is still evaluated on a per-pixel basis and may result in
fragments with partial coverage.
For fragment shader inputs decorated with code:FullyCoveredEXT, a fragment
is considered fully covered if and only if all pixels in the fragment are
fully covered by the generating primitive.

endif::VK_NV_shading_rate_image[]

endif::VK_EXT_conservative_rasterization[]