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