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Again, we just need to use logic to figure out in which region the circle resides. However, there are a few little minefields to sidestep that won t be obvious at first, and I ll point these out as we walk through the example. Let s take a look at the code in the source that finds the regions. There are a few different ways you could code this, and although this one isn t the most efficient, it s the most understandable. //Which region is the circle in //First check the hypotenuse if(dp1 < 0 && dp1 > -_hypotenuse.m && _c1.xPos > _t1.xPos - _t1.width / 2 && _c1.yPos < _t1.yPos + _t1.height / 2) { region = "hypotenuse"; } //If the circle isn't in the hypotenuse region, //check the other possibilities else { //Check the top corner if(_c1.yPos < _t1.yPos - _t1.height / 2) { region = "topCorner"; } //The circle isn't above the top edge, so it might be //below the bottom edge else if (_c1.yPos > _t1.yPos + _t1.height / 2) { //If it is, we need to check whether it's in the //bottom left, bottom center or bottom right if(_c1.xPos < _t1.xPos - _t1.width / 2) { region = "bottomLeftCorner"; } else if(_c1.xPos > _t1.xPos + _t1.width / 2) { region = "bottomRightCorner"; } else { region = "bottomMiddle"; } }

The main problem here is that middle octal, the group octal, which assigns read (r) and execute (e), but not write (w) rights. By default in OS X, newly created files are not group writeable. Failing to recognize this leads to serious permissions problems in a collaborative environment. Luckily, you can change the umask. To do so in OS X 10.5, simply run the umask command with the desired mode. In this case, we want rwxrwxr-x, so we use a umask of 002. The command for this is (brace yourself): umask 002. Unfortunately, executing umask may not affect all running processes, and the result won t persist across reboots. To remedy the situation, we recommend using the launchd launchd-user.conf file found in /private/etc. To set this, simply run echo "umask 002" >> /private/etc/launchd-user.conf as root. That s it. Reboot and you re done. You may also want to set this on your file servers as well. But depending on your environment and usage, though, this can have security implications, so proceed with caution. A better solution, at least with AFP, is to use either AFP inheritance or ACLs, as described in the next section. If you re running OS X 10.4 or earlier, the process for changing the umask is slightly different. We recommend installing the program Umask Doctor and setting it to launch at login if you do not wish to do this programatically. This utility specifically performs this duty, and it works out pretty well. Alternatively, you can simply make the change via the defaults command run with root/sudo privileges:

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Figure 2-5. Creating a new database connection that will be used by Entity Framework to create a database script that we can use to create a database from our conceptual model

Note, however, that the NSUmask value is actually a decimal representation of the octal umask, so you ll have to do a conversion. One approach is to revert to the binary representation of the umask and convert that to decimal. For example, in binary, the three octets of the umask 022 are 000, 010, and 010. Concatenated, they make the binary number 000010010, which is 18 decimal (0 20 + 1 21 + 0 22 +0 23 + 1 24 = 18) and that s the number to substitute for the NSUmask value. There s one other note: The programs that honor the NSUmask value always seem to run under GUIs. Not all thirdparty programs support this value, but generally the major players do. So that my friends, is POSIX permissions in a nutshell. The system may seem somewhat limited, but really, you re limited only by your own ingenuity and the speed at which your fingers type. In a POSIX environment, groups and nested hierarchies are your friend.

//The circle isn't above the top edge or below the bottom //edge, so it must be on the left or right side else { if(_c1.xPos < _t1.xPos - _t1.width / 2) { region = "leftMiddle"; } //If all the previous tests fail, then //the circle must be within the wedge of space between the //bottom-right corner and the the hypotenuse's region else { region = "bottomRightCorner"; } } } First, we check whether the circle is in the hypotenuse region, as shown in Figure 4-45. if(dp1 < 0 && dp1 > -_hypotenuse.m && _c1.xPos > _t1.xPos - _t1.width / 2 && _c1.yPos < _t1.yPos + _t1.height / 2) { region = "hypotenuse"; } In addition to checking the value of the dot product, we also must make sure that the circle is above the bottom of the triangle and to the right of its left edge. This is important because the dot product condition could be true if the circle is on the opposite side of the hypotenuse. These extra checks make sure that it s on the correct side of the triangle.

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