This appendix is normative.
The following are notes about implementation requirements corresponding to various features in the SVG language.
There are various scenarios where an SVG document fragment is technically in error:
A document can go in and out of error over time. For example, document changes from the SVG DOM or from animation can cause a document to become in error and a further change can cause the document to become correct again.
The following error processing shall occur when a document is in error:
Because of situations where a block of scripting changes might cause a given SVG document fragment to go into and out of error, error processing shall occur only at times when document presentation (e.g., rendering to the display device) is updated. In particular, error processing shall be disabled whenever redraw has been suspended via DOM calls to suspendRedraw().
The SVG user agent must verify the reference to the PUBLIC identifier in the
<!DOCTYPE>
statement or the namespace reference in the xmlns
attribute
on the 'svg'
element to ensure that the given document (or document fragment) identifies a version of the
SVG language which the SVG user agent supports.
If the version information is missing or the version information indicates
a version of the SVG language which the SVG user agent does not support, then the SVG user agent
is not required to render that document or fragment. In particular, it is not
required that an SVG user agent attempt to render future versions of the SVG language.
If the user environment provides such an option, the user agent should alert or
otherwise notify
the user that the version of the file is not supported and suggest an alternate
processing option (e.g., installing an updated version of the user agent)
if such an option exists.
An SVG user agent which supports the SVG Recommendation
should alert or otherwise notify the user whenever it encounters
an SVG document (or document fragment) whose <!DOCTYPE>
statement or corresponding xmlns
attribute corresponds to a working draft version
of the SVG specification. All content based on working drafts of this
specification should be updated to the SVG Recommendation.
Some numeric attribute and property values have restricted ranges, such as color component values. When out of range values are provided, but user agent shall defer any error checking until after presentation time, as composited actions might produce intermediate values which are out of range but final values which are within range.
Color values are not in error if they are out of range, even if final computations produce an out of range color value at presentation time. It is recommended that user agents clamp color values to the nearest color value (possibly determined by simple clipping) which the system can process as late as possible (e.g., presentation time), although it is acceptable for user agents to clamp color values as early as parse time. Thus, implementation dependencies might preclude consistent behavior across different systems when out of range color values are used.
Opacity values out of range are not in error and should be clamped to the range 0 to 1 at the time which opacity values have to be processed (e.g., at presentation time or when it is necessary to perform intermediate filter effect calculations).
A conforming SVG user agent must implement path rendering as follows:
(newx1, newy1) = (curx - (oldx2 - curx), cury - (oldy2 - cury)) = (2*curx - oldx2, 2*cury - oldy2)
An elliptical arc is a particular path command. As such, it is described by the following parameters in order:
(x_{1}, y_{1}) are the absolute coordinates of the current point on the path, obtained from the last two parameters of the previous path command.
r_{X} and r_{Y} are the radii of the ellipse (also known as its semi-major and semi-minor axes).
is the angle from the x-axis of the current coordinate system to the x-axis of the ellipse.
f_{A} is the large arc flag, and is 0 if an arc spanning less than or equal to 180 degrees is chosen, or 1 if an arc spanning greater than 180 degrees is chosen.
f_{S} is the sweep flag, and is 0 if the line joining center to arc sweeps through decreasing angles, or 1 if it sweeps through increasing angles.
(x_{2}, y_{2}) are the absolute coordinates of the final point of the arc.
This parameterization of elliptical arcs will be referred to as endpoint parameterization. One of the advantages of endpoint parameterization is that it permits a consistent path syntax in which all path commands end in the coordinates of the new "current point". The following notes give rules and formulae to help implementers deal with endpoint parameterization.
Arbitrary numerical values are permitted for all elliptical arc parameters, but where these values are invalid or out of range, an implementation must make sense of them as follows:
If the endpoints (x_{1}, y_{1}) and (x_{2}, y_{2}) are identical, then this is equivalent to omitting the elliptical arc segment entirely.
If r_{X} = 0 or r_{Y} = 0 then this arc is treated as a straight line segment (a "lineto") joining the endpoints.
If r_{X} or r_{Y} have negative signs, these are dropped (the absolute value is used instead).
If r_{X} , r_{Y} and are such that there is no solution (basically, the ellipse is not big enough to reach from (x_{1}, y_{1}) to (x_{2}, y_{2})) then the ellipse is scaled up uniformly until there is exactly one solution (until the ellipse is just big enough).
is taken mod 360 degrees.
Any nonzero value for either of the flags f_{A}or f_{S} is taken to mean the value 1.
This forgiving yet consistent treatment of out-of-range values ensures that
The inevitable approximations arising from computer arithmetic cannot cause a valid set of values written by one SVG implementation to be treated as invalid when read by another SVG implementation. This would otherwise be a problem for common boundary cases such as a semicircular arc.
Continuous animations that cause parameters to pass through invalid values are not a problem. The motion remains continuous.
An arbitrary point (x, y) on the elliptical arc can be described by the 2-dimensional matrix equation
(F.6.3.1) |
(c_{X}, c_{Y}) are the coordinates of the center of the ellipse.
r_{X} and r_{Y} are the radii of the ellipse (also known as its semi-major and semi-minor axes).
is the angle from the x-axis of the current coordinate system to the x-axis of the ellipse.
ranges from:
which is the start angle of the elliptical arc prior to the stretch and rotate operations.
which is the end angle of the elliptical arc prior to the stretch and rotate operations.
which is the difference between these two angles.
If one thinks of an ellipse as a circle that has been stretched and then rotated, then
, | and |
are the start angle, end angle and sweep angle, respectively of the arc prior to the stretch and rotate operations. This leads to an alternate parameterization which is common among graphics APIs, which will be referred to as center parameterization. In the next sections, formulas are given for mapping in both directions between center parameterization and endpoint parameterization.
Given:
the task is to find:
Here are the formulas:
(F.6.4.1) | |
(F.6.4.2) | |
(F.6.4.3) | |
(F.6.4.4) |
Given:
the task is to find:
The equations simplify after a translation which places the origin at the midpoint of the line joining (x_{1}, y_{1}) to (x_{2}, y_{2}), followed by a rotation to line up the coordinate axes with the axes of the ellipse. All transformed coordinates will be written with primes. They are computed as intermediate values on the way toward finding the required center parameterization variables. This procedure consists of the following steps:
Step 1: Compute (x_{1}', y_{1}') according to the formula
(F.6.5.1) |
Step 2: Compute (c_{X} ', c_{Y} ') according to the formula
(F.6.5.2) | |
and the - sign is chosen if |
Step 3: Compute (c_{X}, c_{Y}) from (c_{X} ', c_{Y} ')
(F.6.5.3) |
Step 4: Compute |
and |
In general, the angle between two vectors (u_{X}, u_{Y}) and (v_{X}, v_{Y}) can be computed as
(F.6.5.4) | |
where the ± sign appearing here is the sign of u_{X} v_{Y} - u_{Y} v_{X} |
This angle function can be used to express |
and | as follows: |
(F.6.5.5) | |
(F.6.5.6) |
where | is fixed in the range -360° < | < 360° such that: |
if | 0, then | < 0, |
else if | 1, then | > 0. |
In other words, if f_{S} = 0 and the right side of (F.6.5.6) is > 0, then subtract 360°, whereas if f_{S} = 1 and the right side of (F.6.5.6) is < 0, then add 360°. In all other cases leave it as is. |
This section formalizes the adjustments to out-of-range r_{X} and r_{Y} mentioned in F.6.2. Algorithmically these adjustments consist of the following steps:
Step 1: Ensure radii are non-zero
If r_{X} = 0 or r_{Y} = 0, then treat this as a straight line from (x_{1}, y_{1}) to (x_{2}, y_{2}) and stop. Otherwise,
Step 2: Ensure radii are positive
Take the absolute value of r_{X} and r_{Y}:
(F.6.6.1) |
Step 3: Ensure radii are large enough
Using the primed coordinate values of equation (F.6.5.1), compute
(F.6.6.2) |
If the result of the above equation is less than or equal to 1, then no further change need be made to r_{X} and r_{Y}. If the result of the above equation is greater than 1, then make the replacements
(F.6.6.3) |
Step 4: Proceed with computations
Proceed with the remaining elliptical arc computations, such as those in section F.6.5. Note: As a consequence of the radii corrections in this section, equation (F.6.5.2) for the center of the ellipse always has at least one solution (i.e. the radicand is never negative). In the case that the radii are scaled up using equation (F.6.6.3), the radicand of (F.6.5.2) is zero and there is exactly one solution for the center of the ellipse.
The following implementation notes describe the algorithm for deciding which characters are selected during a text selection operation.
The text selection operation determines the start selection character(s) and start selection subregion and the end selection character(s) and end selection subregion. To determine the start selection character(s), the SVG user agent determines which rendered glyph received the initial select event (e.g., the initial mouse down event) and which character(s) corresponds to the given glyph (note that for ligatures, a single glyph represents multiple characters). For all of the glyphs used to render the given character(s), determine start selection subregion depending on whether the selection/pointer event occurred in the top/left, top/right, bottom/left or bottom/right subregion of the character cell area that encompasses all of the glyphs used to render the given character(s).
The end character(s) and the relevant end character(s) subregion are determined using a similar method, except use the pointer location at the end of the select operation (e.g., when the user releases the given mouse button).
For systems which support pointer devices such as a mouse, the user agent is required to provide a mechanism for selecting text even when the given text has associated event handlers or links, which might block text selection due to event processing precedence rules (see Pointer events). One implementation option for platforms which support a pointer device such as a mouse, the user agent may provide for a small additional region around character cells which initiate text selection operations but do not initiate event handlers or links.
For horizontal text (i.e., when the baseline of the glyph is parallel to the primary text advance direction):
For vertical text (i.e., when the baseline of the glyph is perpendicular to the primary text advance direction):
When the user agent is implementing selection of bi-directional text in lexical order and the selection starts (or ends) between characters which are not contiguous in lexical order, then there might be multiple potential combinations of characters that can be considered part of the selection. The algorithms to choose among the combinations of potential selection options shall choose the selection option which most closely matches the text string's visual rendering order.
For user agents which support both zooming on display devices and printing, it is recommended that the default printing option produce printed output that reflects the display device's current view of the current SVG document fragment, taking into account any zooming and panning done by the user. Thus, if the user zooms into a particular area of a map on the display device and then requests a hardcopy, the hardcopy should show the same view of the map as appears on the display device.