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477 lines
16 KiB
477 lines
16 KiB
14 years ago
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/*
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------- Strong random data generation on a Macintosh (pre - OS X) ------
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-- GENERAL: We aim to generate unpredictable bits without explicit
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user interaction. A general review of the problem may be found
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in RFC 1750, "Randomness Recommendations for Security", and some
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more discussion, of general and Mac-specific issues has appeared
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in "Using and Creating Cryptographic- Quality Random Numbers" by
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Jon Callas (www.merrymeet.com/jon/usingrandom.html).
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The data and entropy estimates provided below are based on my
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limited experimentation and estimates, rather than by any
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rigorous study, and the entropy estimates tend to be optimistic.
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They should not be considered absolute.
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Some of the information being collected may be correlated in
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subtle ways. That includes mouse positions, timings, and disk
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size measurements. Some obvious correlations will be eliminated
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by the programmer, but other, weaker ones may remain. The
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reliability of the code depends on such correlations being
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poorly understood, both by us and by potential interceptors.
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This package has been planned to be used with OpenSSL, v. 0.9.5.
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It requires the OpenSSL function RAND_add.
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-- OTHER WORK: Some source code and other details have been
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published elsewhere, but I haven't found any to be satisfactory
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for the Mac per se:
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* The Linux random number generator (by Theodore Ts'o, in
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drivers/char/random.c), is a carefully designed open-source
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crypto random number package. It collects data from a variety
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of sources, including mouse, keyboard and other interrupts.
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One nice feature is that it explicitly estimates the entropy
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of the data it collects. Some of its features (e.g. interrupt
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timing) cannot be reliably exported to the Mac without using
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undocumented APIs.
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* Truerand by Don P. Mitchell and Matt Blaze uses variations
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between different timing mechanisms on the same system. This
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has not been tested on the Mac, but requires preemptive
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multitasking, and is hardware-dependent, and can't be relied
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on to work well if only one oscillator is present.
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* Cryptlib's RNG for the Mac (RNDMAC.C by Peter Gutmann),
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gathers a lot of information about the machine and system
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environment. Unfortunately, much of it is constant from one
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startup to the next. In other words, the random seed could be
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the same from one day to the next. Some of the APIs are
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hardware-dependent, and not all are compatible with Carbon (OS
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X). Incidentally, the EGD library is based on the UNIX entropy
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gathering methods in cryptlib, and isn't suitable for MacOS
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either.
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* Mozilla (and perhaps earlier versions of Netscape) uses the
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time of day (in seconds) and an uninitialized local variable
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to seed the random number generator. The time of day is known
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to an outside interceptor (to within the accuracy of the
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system clock). The uninitialized variable could easily be
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identical between subsequent launches of an application, if it
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is reached through the same path.
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* OpenSSL provides the function RAND_screen(), by G. van
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Oosten, which hashes the contents of the screen to generate a
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seed. This is not useful for an extension or for an
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application which launches at startup time, since the screen
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is likely to look identical from one launch to the next. This
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method is also rather slow.
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* Using variations in disk drive seek times has been proposed
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(Davis, Ihaka and Fenstermacher, world.std.com/~dtd/;
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Jakobsson, Shriver, Hillyer and Juels,
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www.bell-labs.com/user/shriver/random.html). These variations
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appear to be due to air turbulence inside the disk drive
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mechanism, and are very strongly unpredictable. Unfortunately
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this technique is slow, and some implementations of it may be
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patented (see Shriver's page above.) It of course cannot be
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used with a RAM disk.
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-- TIMING: On the 601 PowerPC the time base register is guaranteed
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to change at least once every 10 addi instructions, i.e. 10
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cycles. On a 60 MHz machine (slowest PowerPC) this translates to
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a resolution of 1/6 usec. Newer machines seem to be using a 10
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cycle resolution as well.
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For 68K Macs, the Microseconds() call may be used. See Develop
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issue 29 on the Apple developer site
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(developer.apple.com/dev/techsupport/develop/issue29/minow.html)
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for information on its accuracy and resolution. The code below
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has been tested only on PowerPC based machines.
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The time from machine startup to the launch of an application in
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the startup folder has a variance of about 1.6 msec on a new G4
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machine with a defragmented and optimized disk, most extensions
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off and no icons on the desktop. This can be reasonably taken as
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a lower bound on the variance. Most of this variation is likely
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due to disk seek time variability. The distribution of startup
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times is probably not entirely even or uncorrelated. This needs
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to be investigated, but I am guessing that it not a majpor
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problem. Entropy = log2 (1600/0.166) ~= 13 bits on a 60 MHz
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machine, ~16 bits for a 450 MHz machine.
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User-launched application startup times will have a variance of
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a second or more relative to machine startup time. Entropy >~22
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bits.
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Machine startup time is available with a 1-second resolution. It
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is predictable to no better a minute or two, in the case of
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people who show up punctually to work at the same time and
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immediately start their computer. Using the scheduled startup
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feature (when available) will cause the machine to start up at
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the same time every day, making the value predictable. Entropy
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>~7 bits, or 0 bits with scheduled startup.
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The time of day is of course known to an outsider and thus has 0
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entropy if the system clock is regularly calibrated.
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-- KEY TIMING: A very fast typist (120 wpm) will have a typical
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inter-key timing interval of 100 msec. We can assume a variance
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of no less than 2 msec -- maybe. Do good typists have a constant
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rhythm, like drummers? Since what we measure is not the
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key-generated interrupt but the time at which the key event was
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taken off the event queue, our resolution is roughly the time
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between process switches, at best 1 tick (17 msec). I therefore
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consider this technique questionable and not very useful for
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obtaining high entropy data on the Mac.
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-- MOUSE POSITION AND TIMING: The high bits of the mouse position
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are far from arbitrary, since the mouse tends to stay in a few
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limited areas of the screen. I am guessing that the position of
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the mouse is arbitrary within a 6 pixel square. Since the mouse
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stays still for long periods of time, it should be sampled only
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after it was moved, to avoid correlated data. This gives an
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entropy of log2(6*6) ~= 5 bits per measurement.
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The time during which the mouse stays still can vary from zero
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to, say, 5 seconds (occasionally longer). If the still time is
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measured by sampling the mouse during null events, and null
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events are received once per tick, its resolution is 1/60th of a
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second, giving an entropy of log2 (60*5) ~= 8 bits per
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measurement. Since the distribution of still times is uneven,
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this estimate is on the high side.
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For simplicity and compatibility across system versions, the
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mouse is to be sampled explicitly (e.g. in the event loop),
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rather than in a time manager task.
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-- STARTUP DISK TOTAL FILE SIZE: Varies typically by at least 20k
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from one startup to the next, with 'minimal' computer use. Won't
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vary at all if machine is started again immediately after
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startup (unless virtual memory is on), but any application which
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uses the web and caches information to disk is likely to cause
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this much variation or more. The variation is probably not
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random, but I don't know in what way. File sizes tend to be
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divisible by 4 bytes since file format fields are often
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long-aligned. Entropy > log2 (20000/4) ~= 12 bits.
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-- STARTUP DISK FIRST AVAILABLE ALLOCATION BLOCK: As the volume
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gets fragmented this could be anywhere in principle. In a
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perfectly unfragmented volume this will be strongly correlated
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with the total file size on the disk. With more fragmentation
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comes less certainty. I took the variation in this value to be
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1/8 of the total file size on the volume.
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-- SYSTEM REQUIREMENTS: The code here requires System 7.0 and above
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(for Gestalt and Microseconds calls). All the calls used are
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Carbon-compatible.
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*/
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/*------------------------------ Includes ----------------------------*/
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#include "Randomizer.h"
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// Mac OS API
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#include <Files.h>
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#include <Folders.h>
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#include <Events.h>
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#include <Processes.h>
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#include <Gestalt.h>
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#include <Resources.h>
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#include <LowMem.h>
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// Standard C library
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#include <stdlib.h>
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#include <math.h>
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/*---------------------- Function declarations -----------------------*/
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// declared in OpenSSL/crypto/rand/rand.h
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extern "C" void RAND_add (const void *buf, int num, double entropy);
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unsigned long GetPPCTimer (bool is601); // Make it global if needed
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// elsewhere
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/*---------------------------- Constants -----------------------------*/
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#define kMouseResolution 6 // Mouse position has to differ
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// from the last one by this
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// much to be entered
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#define kMousePositionEntropy 5.16 // log2 (kMouseResolution**2)
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#define kTypicalMouseIdleTicks 300.0 // I am guessing that a typical
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// amount of time between mouse
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// moves is 5 seconds
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#define kVolumeBytesEntropy 12.0 // about log2 (20000/4),
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// assuming a variation of 20K
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// in total file size and
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// long-aligned file formats.
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#define kApplicationUpTimeEntropy 6.0 // Variance > 1 second, uptime
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// in ticks
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#define kSysStartupEntropy 7.0 // Entropy for machine startup
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// time
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/*------------------------ Function definitions ----------------------*/
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CRandomizer::CRandomizer (void)
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{
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long result;
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mSupportsLargeVolumes =
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(Gestalt(gestaltFSAttr, &result) == noErr) &&
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((result & (1L << gestaltFSSupports2TBVols)) != 0);
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if (Gestalt (gestaltNativeCPUtype, &result) != noErr)
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{
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mIsPowerPC = false;
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mIs601 = false;
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}
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else
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{
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mIs601 = (result == gestaltCPU601);
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mIsPowerPC = (result >= gestaltCPU601);
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}
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mLastMouse.h = mLastMouse.v = -10; // First mouse will
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// always be recorded
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mLastPeriodicTicks = TickCount();
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GetTimeBaseResolution ();
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// Add initial entropy
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AddTimeSinceMachineStartup ();
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AddAbsoluteSystemStartupTime ();
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AddStartupVolumeInfo ();
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AddFiller ();
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}
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void CRandomizer::PeriodicAction (void)
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{
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AddCurrentMouse ();
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AddNow (0.0); // Should have a better entropy estimate here
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mLastPeriodicTicks = TickCount();
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}
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/*------------------------- Private Methods --------------------------*/
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void CRandomizer::AddCurrentMouse (void)
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{
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Point mouseLoc;
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unsigned long lastCheck; // Ticks since mouse was last
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// sampled
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#if TARGET_API_MAC_CARBON
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GetGlobalMouse (&mouseLoc);
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#else
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mouseLoc = LMGetMouseLocation();
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#endif
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if (labs (mLastMouse.h - mouseLoc.h) > kMouseResolution/2 &&
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labs (mLastMouse.v - mouseLoc.v) > kMouseResolution/2)
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AddBytes (&mouseLoc, sizeof (mouseLoc),
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kMousePositionEntropy);
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if (mLastMouse.h == mouseLoc.h && mLastMouse.v == mouseLoc.v)
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mMouseStill ++;
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else
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{
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double entropy;
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// Mouse has moved. Add the number of measurements for
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// which it's been still. If the resolution is too
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// coarse, assume the entropy is 0.
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lastCheck = TickCount() - mLastPeriodicTicks;
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if (lastCheck <= 0)
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lastCheck = 1;
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entropy = log2l
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(kTypicalMouseIdleTicks/(double)lastCheck);
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if (entropy < 0.0)
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entropy = 0.0;
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AddBytes (&mMouseStill, sizeof (mMouseStill), entropy);
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mMouseStill = 0;
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}
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mLastMouse = mouseLoc;
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}
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void CRandomizer::AddAbsoluteSystemStartupTime (void)
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{
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unsigned long now; // Time in seconds since
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// 1/1/1904
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GetDateTime (&now);
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now -= TickCount() / 60; // Time in ticks since machine
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// startup
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AddBytes (&now, sizeof (now), kSysStartupEntropy);
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}
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void CRandomizer::AddTimeSinceMachineStartup (void)
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{
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AddNow (1.5); // Uncertainty in app startup
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// time is > 1.5 msec (for
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// automated app startup).
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}
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void CRandomizer::AddAppRunningTime (void)
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{
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ProcessSerialNumber PSN;
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ProcessInfoRec ProcessInfo;
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ProcessInfo.processInfoLength = sizeof (ProcessInfoRec);
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ProcessInfo.processName = nil;
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ProcessInfo.processAppSpec = nil;
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GetCurrentProcess (&PSN);
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GetProcessInformation (&PSN, &ProcessInfo);
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// Now add the amount of time in ticks that the current process
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// has been active
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AddBytes (&ProcessInfo, sizeof (ProcessInfoRec),
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kApplicationUpTimeEntropy);
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}
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void CRandomizer::AddStartupVolumeInfo (void)
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{
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short vRefNum;
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long dirID;
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XVolumeParam pb;
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OSErr err;
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if (!mSupportsLargeVolumes)
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return;
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FindFolder (kOnSystemDisk, kSystemFolderType, kDontCreateFolder,
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&vRefNum, &dirID);
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pb.ioVRefNum = vRefNum;
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pb.ioCompletion = 0;
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pb.ioNamePtr = 0;
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pb.ioVolIndex = 0;
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err = PBXGetVolInfoSync (&pb);
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if (err != noErr)
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return;
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// Base the entropy on the amount of space used on the disk and
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// on the next available allocation block. A lot else might be
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// unpredictable, so might as well toss the whole block in. See
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// comments for entropy estimate justifications.
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AddBytes (&pb, sizeof (pb),
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kVolumeBytesEntropy +
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log2l (((pb.ioVTotalBytes.hi - pb.ioVFreeBytes.hi)
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* 4294967296.0D +
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(pb.ioVTotalBytes.lo - pb.ioVFreeBytes.lo))
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/ pb.ioVAlBlkSiz - 3.0));
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}
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/*
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On a typical startup CRandomizer will come up with about 60
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bits of good, unpredictable data. Assuming no more input will
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be available, we'll need some more lower-quality data to give
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OpenSSL the 128 bits of entropy it desires. AddFiller adds some
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relatively predictable data into the soup.
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*/
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void CRandomizer::AddFiller (void)
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{
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struct
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{
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ProcessSerialNumber psn; // Front process serial
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// number
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RGBColor hiliteRGBValue; // User-selected
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// highlight color
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long processCount; // Number of active
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// processes
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long cpuSpeed; // Processor speed
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long totalMemory; // Total logical memory
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// (incl. virtual one)
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long systemVersion; // OS version
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short resFile; // Current resource file
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} data;
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GetNextProcess ((ProcessSerialNumber*) kNoProcess);
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while (GetNextProcess (&data.psn) == noErr)
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data.processCount++;
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GetFrontProcess (&data.psn);
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LMGetHiliteRGB (&data.hiliteRGBValue);
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Gestalt (gestaltProcClkSpeed, &data.cpuSpeed);
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Gestalt (gestaltLogicalRAMSize, &data.totalMemory);
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Gestalt (gestaltSystemVersion, &data.systemVersion);
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data.resFile = CurResFile ();
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// Here we pretend to feed the PRNG completely random data. This
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// is of course false, as much of the above data is predictable
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// by an outsider. At this point we don't have any more
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// randomness to add, but with OpenSSL we must have a 128 bit
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// seed before we can start. We just add what we can, without a
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// real entropy estimate, and hope for the best.
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AddBytes (&data, sizeof(data), 8.0 * sizeof(data));
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AddCurrentMouse ();
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AddNow (1.0);
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}
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//------------------- LOW LEVEL ---------------------
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void CRandomizer::AddBytes (void *data, long size, double entropy)
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{
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RAND_add (data, size, entropy * 0.125); // Convert entropy bits
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// to bytes
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}
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void CRandomizer::AddNow (double millisecondUncertainty)
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{
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long time = SysTimer();
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AddBytes (&time, sizeof (time), log2l (millisecondUncertainty *
|
||
|
mTimebaseTicksPerMillisec));
|
||
|
}
|
||
|
|
||
|
//----------------- TIMING SUPPORT ------------------
|
||
|
|
||
|
void CRandomizer::GetTimeBaseResolution (void)
|
||
|
{
|
||
|
#ifdef __powerc
|
||
|
long speed;
|
||
|
|
||
|
// gestaltProcClkSpeed available on System 7.5.2 and above
|
||
|
if (Gestalt (gestaltProcClkSpeed, &speed) != noErr)
|
||
|
// Only PowerPCs running pre-7.5.2 are 60-80 MHz
|
||
|
// machines.
|
||
|
mTimebaseTicksPerMillisec = 6000.0D;
|
||
|
// Assume 10 cycles per clock update, as in 601 spec. Seems true
|
||
|
// for later chips as well.
|
||
|
mTimebaseTicksPerMillisec = speed / 1.0e4D;
|
||
|
#else
|
||
|
// 68K VIA-based machines (see Develop Magazine no. 29)
|
||
|
mTimebaseTicksPerMillisec = 783.360D;
|
||
|
#endif
|
||
|
}
|
||
|
|
||
|
unsigned long CRandomizer::SysTimer (void) // returns the lower 32
|
||
|
// bit of the chip timer
|
||
|
{
|
||
|
#ifdef __powerc
|
||
|
return GetPPCTimer (mIs601);
|
||
|
#else
|
||
|
UnsignedWide usec;
|
||
|
Microseconds (&usec);
|
||
|
return usec.lo;
|
||
|
#endif
|
||
|
}
|
||
|
|
||
|
#ifdef __powerc
|
||
|
// The timebase is available through mfspr on 601, mftb on later chips.
|
||
|
// Motorola recommends that an 601 implementation map mftb to mfspr
|
||
|
// through an exception, but I haven't tested to see if MacOS actually
|
||
|
// does this. We only sample the lower 32 bits of the timer (i.e. a
|
||
|
// few minutes of resolution)
|
||
|
|
||
|
asm unsigned long GetPPCTimer (register bool is601)
|
||
|
{
|
||
|
cmplwi is601, 0 // Check if 601
|
||
|
bne _601 // if non-zero goto _601
|
||
|
mftb r3 // Available on 603 and later.
|
||
|
blr // return with result in r3
|
||
|
_601:
|
||
|
mfspr r3, spr5 // Available on 601 only.
|
||
|
// blr inserted automatically
|
||
|
}
|
||
|
#endif
|