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line segments intersecting each other, the rule considers the inside to be the entire area enclosed by the star, including the pentagon in the center For a path composed of two concentric circles, the areas enclosed by both circles are considered to be inside, provided that both are drawn in the same direction If the circles are drawn in opposite directions, only the doughnut shape between them is inside, according to the rule; the doughnut hole is outside
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FIGURE 410 Nonzero winding number rule
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Even-Odd Rule
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An alternative to the nonzero winding number rule is the even-odd rule This rule determines the insideness of a point by drawing a ray from that point in any direction and simply counting the number of path segments that cross the ray, regardless of direction If this number is odd, the point is inside; if even, the point is outside This yields the same results as the nonzero winding number rule for paths with simple shapes, but produces different results for more complex shapes Figure 411 shows the effects of applying the even-odd rule to complex paths For the ve-pointed star, the rule considers the triangular points to be inside the path, but not the pentagon in the center For the two concentric circles, only the doughnut shape between the two circles is considered inside, regardless of the directions in which the circles are drawn
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Path Construction and Painting
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FIGURE 411 Even-odd rule
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443 Clipping Path Operators
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The graphics state contains a current clipping path that limits the regions of the page affected by painting operators The closed subpaths of this path de ne the area that can be painted Marks falling inside this area will be applied to the page; those falling outside it will not (Precisely what is considered to be inside a path is discussed under Filling, above) Note: In the context of the transparent imaging model (PDF 14), the current clipping path constrains an object s shape (see Section 71, Overview of Transparency ) The effective shape is the intersection of the object s intrinsic shape with the clipping path; the source shape value is 00 outside this intersection Similarly, the shape of a transparency group (de ned as the union of the shapes of its constituent objects) is in uenced both by the clipping path in effect when each of the objects is painted and by the one in effect at the time the group s results are painted onto its backdrop The initial clipping path includes the entire page A clipping path operator (W or W*, shown in Table 411) may appear after the last path construction operator and before the path-painting operator that terminates a path object Although the clipping path operator appears before the painting operator, it does not alter the clipping path at the point where it appears Rather, it modi es the effect of the succeeding painting operator After the path has been painted, the clipping path in the graphics state is set to the intersection of the current clipping path and the newly constructed path
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TABLE 411 Clipping path operators
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OPERANDS OPERATOR DESCRIPTION
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Modify the current clipping path by intersecting it with the current path, using the nonzero winding number rule to determine which regions lie inside the clipping path Modify the current clipping path by intersecting it with the current path, using the even-odd rule to determine which regions lie inside the clipping path
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Note: In addition to path objects, text objects can also be used for clipping; see Section 525, Text Rendering Mode The n operator (see Table 410 on page 167) is a no-op path-painting operator; it causes no marks to be placed on the page, but can be used with a clipping path operator to establish a new clipping path That is, after a path has been constructed, the sequence W n will intersect that path with the current clipping path to establish a new clipping path There is no way to enlarge the current clipping path or to set a new clipping path without reference to the current one However, since the clipping path is part of the graphics state, its effect can be localized to speci c graphics objects by enclosing the modi cation of the clipping path and the painting of those objects between a pair of q and Q operators (see Section 431, Graphics State Stack ) Execution of the Q operator causes the clipping path to revert to the value that was saved by the q operator, before the clipping path was modi ed
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