InnerPath Mac OS
Is your Mac up to date with the latest version of the Mac operating system? Is it using the version required by a product you want to use with your Mac? Which versions are earlier (older) or later (newer, more recent)? To find out, learn which version is installed now.
If your macOS isn't up to date, you may be able to update to a later version.
Which macOS version is installed?
đ§ Get the latest tutorials on Linux, Open Source & DevOps via RSS feed or Weekly email newsletter. 30 Handy Bash Shell Aliases For Linux / Unix / Mac OS X; 3.
From the Apple menu  in the corner of your screen, choose About This Mac. You should see the macOS name, such as macOS Big Sur, followed by its version number. If you need to know the build number as well, click the version number to see it.
- Support for course setting is not a priority because there already exists a very good open source program for this task, Purple Pen, though it would be nice to have. Technology C with Qt has been chosen for the implementation, providing a comfortable way for cross-platform programming for the big desktop platforms: Windows, Linux, and Mac OS X.
- Function pathdiagram2 can merge two-level pathdiagrams into one nested pathdiagram where inner path diagram is a path diagram of causal variables contributing onto outcome and the outside path diagram is a diagram of path of causal variables including outcome onto the disease.
What is the latest macOS version?
These are all Mac operating systems, starting with the most recent. When a major new macOS is released, it gets a new name, such as macOS Big Sur. As updates that change the macOS version number become available, this article will be updated to show the latest version of that macOS.
If your Mac is using an earlier version of any Mac operating system, you should install the latest Apple software updates, which can include important security updates and updates for the apps that are installed by macOS, such as Safari, Books, Messages, Mail, Music, Calendar and Photos.
macOS | Latest version |
---|---|
macOS Big Sur | 11.2.3 |
macOS Catalina | 10.15.7 |
macOS Mojave | 10.14.6 |
macOS High Sierra | 10.13.6 |
macOS Sierra | 10.12.6 |
OS X El Capitan | 10.11.6 |
OS X Yosemite | 10.10.5 |
OS X Mavericks | 10.9.5 |
OS X Mountain Lion | 10.8.5 |
OS X Lion | 10.7.5 |
Mac OS X Snow Leopard | 10.6.8 |
Mac OS X Leopard | 10.5.8 |
Mac OS X Tiger | 10.4.11 |
Mac OS X Panther | 10.3.9 |
Mac OS X Jaguar | 10.2.8 |
Mac OS X Puma | 10.1.5 |
Mac OS X Cheetah | 10.0.4 |
I want to revisit Tuesdayâs discussion of clipping; when I wrote that post I was laboring under certain misconceptions related to Core Graphics paths, which I would like to discuss. As a consequence of correcting these misconceptions, I can see that Core Graphics clipping is much easier to work with than I had supposed.
Whoops
My basic mistake was to assume that a Core Graphics path was, essentially, a single closed loop. In fact, a path is a collection of line segments and loops; it is essentially a collection of subpaths, where a subpath corresponds to my original conception of an overall path.
In particular, I misunderstood the purpose of these functions:
I thought that CGContextBeginPath
and CGContextClosePath
formed a pair, and that a path was defined by Core Graphics calls made between these bookends. In fact, CGContextMoveToPoint
and CGContextClosePath
form the pair; CGContextMoveToPoint
establishes the first point on a subpath to which CGContextClosePath
will connect, if it is called.
Once this misapprehension was corrected, some other issues related to clipping became clear.
Winding vs. Non-Zero
Inner Path Mac Os Downloads
I had been puzzled by this language in the Core Graphics documentation for CGContextClip
:
The function uses the nonzero winding number rule to calculate the intersection of the current path with the current clipping path. Quartz then uses the path resulting from the intersection as the new current clipping path for subsequent painting operations.
and CGContextEOClip
:
The function uses the even-odd rule to calculate the intersection of the current path with the current clipping path. Quartz then uses the path resulting from the intersection as the new current clipping path for subsequent painting operations.
When I was working on clipping to hollow shapes, I first tried this procedure:
- Define the âouterâ hull
- Invoke
CGContext*Clip
- Define the âinnerâ hull
- Invoke
CGContext*Clip
However, no matter which CGContext*Clip
functions I called at which point, and no matter which winding I used when defining the hulls, I could not get the clipping paths to interact in the way I wanted. I now understand why: These functions effectively apply the ânonzero windingâ or âeven-oddâ rule to the current path (i.e. collection of subpaths), and then take the intersection of the resulting clipping region with the current clipping region.
(Incidentally, the difference between the ânonzero windingâ and âeven-oddâ rules is reasonably well explained here; itâs not Apple documentation, but itâs on-point.)
Inner Path Mac Os Download
Examples
This function defines a relatively complex clipping region, used to create the image at the top of this post:
Three points:
Inner Path Mac Os Catalina
- This example was hacked together, so some of the arguments to the function donât make much sense
- The documentation for
CGContextAddArc
states that the final argument (clockwise
) must be 1 on the iPhone to create a CCW arc; this does not appear to be true, although I may be misinterpreting my results - The
CGContextMoveToPoint()s
preceding the arcs are crucial; without them, Core Graphics will insert line segments between the last point of one arc and the first point of another, with undesirable results
Inner Path Mac Os X
With our new understanding of paths and clipping, we can simplify the code that we saw on Tuesday: