Debugging

Many tools are at your disposal for debugging Pintos. This section introduces a few of them to you.

printf()

Don't underestimate the value of printf().

  • The way printf() is implemented in Pintos, you can call it from practically anywhere in the kernel, whether it's in a kernel thread or an interrupt handler, almost regardless of what locks are held.

printf() is useful for more than just examining data. It can also help figure out when and where something goes wrong, even when the kernel crashes or panics without a useful error message.

  • The strategy is to sprinkle calls to printf() with different strings (e.g. "<1>", "<2>", ...) throughout the pieces of code you suspect are failing. If you don't even see <1> printed, then something bad happened before that point, if you see <1> but not <2>, then something bad happened between those two points, and so on.

  • Based on what you learn, you can then insert more printf() calls in the new, smaller region of code you suspect. Eventually, you can narrow the problem down to a single statement. See the following expansion Triple Faults, for a related technique.

Triple Faults

What is a triple fault?

When a CPU exception handler, such as a page fault handler, cannot be invoked because it is missing or defective, the CPU will try to invoke the "double fault" handler. If the double fault handler is itself missing or defective, that's called a "triple fault". A triple fault causes an immediate CPU reset.

Thus, if you get yourself into a situation where the machine reboots in a loop, that's probably a "triple fault."

How to debug a triple fault?

In a triple fault situation, you might not be able to use printf() for debugging, because the reboots might be happening even before everything needed for printf() is initialized.

There are at least two ways to debug triple faults.

  • First, you can run Pintos in Bochs under GDB (see section GDB). If Bochs has been built properly for Pintos, a triple fault under GDB will cause it to print the message "Triple fault: stopping for gdb" on the console and break into the debugger. (If Bochs is not running under GDB, a triple fault will still cause it to reboot.) You can then inspect where Pintos stopped, which is where the triple fault occurred.

  • Another option is what I call "debugging by infinite loop." Pick a place in the Pintos code, insert the infinite loop for (;;); there, and recompile and run. There are two likely possibilities:

    • The machine hangs without rebooting. If this happens, you know that the infinite loop is running. That means that whatever caused the reboot must be after the place you inserted the infinite loop. Now move the infinite loop later in the code sequence.

    • The machine reboots in a loop. If this happens, you know that the machine didn't make it to the infinite loop. Thus, whatever caused the reboot must be before the place you inserted the infinite loop. Now move the infinite loop earlier in the code sequence.

    If you move around the infinite loop in a "binary search" fashion, you can use this technique to pin down the exact spot that everything goes wrong. It should only take a few minutes at most.

ASSERT

Assertions are useful because they can catch problems early, before they'd otherwise be noticed.

  • Ideally, each function should begin with a set of assertions that check its arguments for validity. (Initializers for functions' local variables are evaluated before assertions are checked, so be careful not to assume that an argument is valid in an initializer.)

  • You can also sprinkle assertions throughout the body of functions in places where you suspect things are likely to go wrong. They are especially useful for checking loop invariants.

Pintos provides the ASSERT macro, defined in <debug.h>, for checking assertions.

  • Macro: ASSERT (expression)

    • Tests the value of expression. If it evaluates to zero (false), the kernel panics. The panic message includes the expression that failed, its file and line number, and a backtrace, which should help you to find the problem. See the following expansion Backtraces, for more information.

Backtraces

When the kernel panics, it prints a "backtrace", that is, a summary of how your program got where it is, as a list of addresses inside the functions that were running at the time of the panic.

  • You can also insert a call to debug_backtrace(), prototyped in <debug.h>, to print a backtrace at any point in your code.

  • debug_backtrace_all(), also declared in <debug.h>, prints backtraces of all threads.

The addresses in a backtrace are listed as raw hexadecimal numbers, which are difficult to interpret. We provide a tool called backtrace to translate these into function names and source file line numbers.

  • Give it the name of your kernel.o as the first argument and the hexadecimal numbers composing the backtrace (including the 0x prefixes) as the remaining arguments.

  • It outputs the function name and source file line numbers that correspond to each address.

  • You can see the following expansion Backtraces Examples to have a better understanding.

If the translated form of a backtrace is garbled or doesn't make sense (e.g. function A is listed above function B, but B doesn't call A), then

  • it's a good sign that you're corrupting a kernel thread's stack, because the backtrace is extracted from the stack.

  • Alternatively, it could be the kernel.o you passed to backtrace is not the same kernel that produced the backtrace.

Sometimes backtraces can be confusing without any corruption. Compiler optimizations can cause surprising behavior.

  • When a function has called another function as its final action (a tail call), the calling function may not appear in a backtrace at all. Similarly, when function A calls another function B that never returns, the compiler may optimize such that an unrelated function C appears in the backtrace instead of A. Function C is simply the function that happens to be in memory just after A. In the threads project, this is commonly seen in backtraces for test failures.

Backtraces Example

Here's a backtraces example.

Suppose that Pintos printed out this following call stack, which is taken from an actual Pintos submission for the file system project:

Call stack: 0xc0106eff 0xc01102fb 0xc010dc22 0xc010cf67 0xc0102319 0xc010325a 0x804812c 0x8048a96 0x8048ac8.

You would then invoke the backtrace utility like shown below, cutting and pasting the backtrace information into the command line. This assumes that kernel.o is in the current directory. You would of course enter all of the following on a single shell command line, even though that would overflow our margins here:

backtrace kernel.o 0xc0106eff 0xc01102fb 0xc010dc22 0xc010cf67 0xc0102319 0xc010325a 0x804812c 0x8048a96 0x8048ac8

The backtrace output would then look something like this:

0xc0106eff: debug_panic (lib/debug.c:86)
0xc01102fb: file_seek (filesys/file.c:405)
0xc010dc22: seek (userprog/syscall.c:744)
0xc010cf67: syscall_handler (userprog/syscall.c:444)
0xc0102319: intr_handler (threads/interrupt.c:334)
0xc010325a: intr_entry (threads/intr-stubs.S:38)
0x0804812c: (unknown)
0x08048a96: (unknown)
0x08048ac8: (unknown)

(You will probably not see exactly the same addresses if you run the command above on your own kernel binary, because the source code you compiled and the compiler you used are probably different.)

  • The first line in the backtrace refers to debug_panic(), the function that implements kernel panics. Because backtraces commonly result from kernel panics, debug_panic() will often be the first function shown in a backtrace.

  • The second line shows file_seek() as the function that panicked, in this case as the result of an assertion failure. In the source code tree used for this example, line 405 of filesys/file.c is the assertion

ASSERT (file_ofs >= 0);

(This line was also cited in the assertion failure message.) Thus, file_seek() panicked because it passed a negative file offset argument.

  • The third line indicates that seek() called file_seek(), presumably without validating the offset argument. In this submission, seek() implements the seek system call.

  • The fourth line shows that syscall_handler(), the system call handler, invoked seek().

  • The fifth and sixth lines are the interrupt handler entry path.

  • The remaining lines are for addresses below PHYS_BASE. This means that they refer to addresses in the user program, not in the kernel. If you know what user program was running when the kernel panicked, you can re-run backtrace on the user program, like so: (typing the command on a single line, of course):

backtrace tests/filesys/extended/grow-too-big 0xc0106eff 0xc01102fb 0xc010dc22 0xc010cf67 0xc0102319 0xc010325a 0x804812c 0x8048a96 0x8048ac8

The results look like this:

0xc0106eff: (unknown)
0xc01102fb: (unknown)
0xc010dc22: (unknown)
0xc010cf67: (unknown)
0xc0102319: (unknown)
0xc010325a: (unknown)
0x0804812c: test_main (...xtended/grow-too-big.c:20)
0x08048a96: main (tests/main.c:10)
0x08048ac8: _start (lib/user/entry.c:9)

You can even specify both the kernel and the user program names on the command line, like so:

backtrace kernel.o tests/filesys/extended/grow-too-big 0xc0106eff 0xc01102fb 0xc010dc22 0xc010cf67 0xc0102319 0xc010325a 0x804812c 0x8048a96 0x8048ac8

The result is a combined backtrace:

In kernel.o:
0xc0106eff: debug_panic (lib/debug.c:86)
0xc01102fb: file_seek (filesys/file.c:405)
0xc010dc22: seek (userprog/syscall.c:744)
0xc010cf67: syscall_handler (userprog/syscall.c:444)
0xc0102319: intr_handler (threads/interrupt.c:334)
0xc010325a: intr_entry (threads/intr-stubs.S:38)
In tests/filesys/extended/grow-too-big:
0x0804812c: test_main (...xtended/grow-too-big.c:20)
0x08048a96: main (tests/main.c:10)
0x08048ac8: _start (lib/user/entry.c:9)

Here's an extra tip for anyone who read this far: backtrace is smart enough to strip the "Call stack" header and "." trailer from the command line if you include them. This can save you a little bit of trouble in cutting and pasting. Thus, the following command prints the same output as the first one we used:

backtrace kernel.o Call stack: 0xc0106eff 0xc01102fb 0xc010dc22 0xc010cf67 0xc0102319 0xc010325a 0x804812c 0x8048a96 0x8048ac8.

Function and Parameter Attributes

These macros defined in <debug.h> tell the compiler special attributes of a function or function parameter. Their expansions are GCC-specific.

  • Macro: UNUSED

    • Appended to a function parameter to tell the compiler that the parameter might not be used within the function. It suppresses the warning that would otherwise appear.

  • Macro: NO_RETURN

    • Appended to a function prototype to tell the compiler that the function never returns. It allows the compiler to fine-tune its warnings and its code generation.

  • Macro: NO_INLINE

    • Appended to a function prototype to tell the compiler to never emit the function in-line. Occasionally useful to improve the quality of backtraces (see below).

  • Macro: PRINTF_FORMAT** _(format, first)**_

    • Appended to a function prototype to tell the compiler that the function takes a printf()-like format string as the argument numbered format (starting from 1) and that the corresponding value arguments start at the argument numbered first. This lets the compiler tell you if you pass the wrong argument types.

GDB

You can run Pintos under the supervision of the GDB debugger.

  • First, start Pintos with the --gdb option, e.g. pintos --gdb -- run mytest.

You should find your Pintos program blocked, which waits for the GDB to attach to this gdb session.

  • Second, open a second terminal on the same machine (or in the same container, see below) and use pintos-gdb to invoke GDB on kernel.o:

If you develop Pintos in a virtual machine, it is easy to do the second step above by opening another terminal.

If you use docker, you need a way to attach your Pintos container to another terminal in your host computer.

  • Now open a new terminal and run

docker exec -it pintos bash

You may remember that when you launch the Pintos docker container , you name it as "pintos" by specifying "--name pintos". So here you just exec a bash shell in your pintos container.

  • Third, use pintos-gdb to invoke GDB on kernel.oin the second terminal:

cd pintos/src/threads/build
pintos-gdb kernel.o

and issue the following GDB command:

debugpintos

A GDB macro debugpintos is provided as a shorthand for target remote localhost:1234, so you can type this shorter command (debugpintos) instead.

  • Now GDB is connected to the simulator over a local network connection. You can now issue any normal GDB commands.

    • If you issue the "c" (continue) command, the simulated Qemu will take control, load Pintos, and then Pintos will run in the usual way. You can pause the process at any point with Ctrl+C.

Using GDB

You can read the GDB manual by typing info gdb at a terminal command prompt. Here's a few commonly useful GDB commands:

  • GDB Command: c

    • Continues execution until Ctrl+C or the next breakpoint.

  • GDB Command: si

    • Execute one machine instruction.

  • GDB Command: s

    • Execute until next line reached, step into function calls.

  • GDB Command: n

    • Execute until next line reached, step over function calls.

  • GDB Command: p** **expression

    • Evaluates the given expression and prints its value. If the expression contains a function call, that function will actually be executed.

  • GDB Command: finish

    • Run until the selected function (stack frame) returns

  • GDB Command: b** **function

  • GDB Command: b** **file:line

  • GDB Command: b *address

    • Sets a breakpoint at function, at line within file, or address. b is short for break or breakpoint. (Use a 0x prefix to specify an address in hex.)

    • Use b pintos_init to make GDB stop when Pintos starts running.

  • GDB Command: info registers

    • Print the general purpose registers, eip, eflags, and the segment selectors. For a much more thorough dump of the machine register state, see QEMU's own info registers command.

  • GDB Command: x/Nx addr

    • Display a hex dump of N words starting at virtual address addr. If N is omitted, it defaults to 1. addr can be any expression.

  • GDB Command: x/Ni addr

    • Display the N assembly instructions starting at addr. Using $eip as addr will display the instructions at the current instruction pointer.

  • GDB Command: l *address

    • Lists a few lines of code around address. (Use a 0x prefix to specify an address in hex.)

  • GDB Command: bt

    • Prints a stack backtrace similar to that output by the backtrace program described above.

  • GDB Command: frame n

    • Select frame number n or frame at address n

  • GDB Command: p/a address

    • Prints the name of the function or variable that occupies address. (Use a 0x prefix to specify an address in hex.)

  • GDB Command: diassemble function

    • Disassembles function.

  • GDB Command: thread n

    • GDB focuses on one thread (i.e., CPU) at a time. This command switches that focus to thread n, numbered from zero.

  • GDB Command: info threads

    • List all threads (i.e., CPUs), including their state (active or halted) and what function they're in.

We also provide a set of macros specialized for debugging Pintos, written by Godmar Back gback@cs.vt.edu. You can type help user-defined for basic help with the macros. Here is an overview of their functionality, based on Godmar's documentation:

  • GDB Macro: debugpintos

    • Attach debugger to a waiting pintos process on the same machine. Shorthand for target remote localhost:1234.

  • GDB Macro: dumplist &list type element

    • Prints the elements of list, which should be a struct list that contains elements of the given type (without the word struct) in which element is the struct list_elem member that links the elements.

    • Example: dumplist &all_list thread allelem prints all elements of struct thread that are linked in struct list all_list using the struct list_elem allelem which is part of struct thread.

  • GDB Macro: btthread thread

    • Shows the backtrace of thread, which is a pointer to the struct thread of the thread whose backtrace it should show. For the current thread, this is identical to the bt (backtrace) command. It also works for any thread suspended in schedule(), provided you know where its kernel stack page is located.

  • GDB Macro: btthreadlist list element

    • Shows the backtraces of all threads in list, the struct list in which the threads are kept. Specify element as the struct list_elem field used inside struct thread to link the threads together.

    • Example: btthreadlist all_list allelem shows the backtraces of all threads contained in struct list all_list, linked together by allelem. This command is useful to determine where your threads are stuck when a deadlock occurs. Please see the example scenario below.

  • GDB Macro: btpagefault

    • Print a backtrace of the current thread after a page fault exception. Normally, when a page fault exception occurs, GDB will stop with a message that might say:

Program received signal 0, Signal 0.
0xc0102320 in intr0e_stub ()

In that case, the bt command might not give a useful backtrace. Use btpagefault instead.

You may also use btpagefault for page faults that occur in a user process. In this case, you may wish to also load the user program's symbol table using the loadusersymbols macro, as described below.

  • GDB Macro: loadusersymbols

    • You can also use GDB to debug a user program running under Pintos. To do that, use the loadusersymbols macro to load the program's symbol table:

loadusersymbols program

where program is the name of the program's executable (in the host file system, not in the Pintos file system). For example, you may issue:

(gdb) loadusersymbols tests/userprog/exec-multiple
add symbol table from file "tests/userprog/exec-multiple" at
    .text_addr = 0x80480a0
(gdb) 

After this, you should be able to debug the user program the same way you would the kernel, by placing breakpoints, inspecting data, etc. Your actions apply to every user program running in Pintos, not just to the one you want to debug, so be careful in interpreting the results: GDB does not know which process is currently active (because that is an abstraction the Pintos kernel creates). Also, a name that appears in both the kernel and the user program will actually refer to the kernel name. (The latter problem can be avoided by giving the user executable name on the GDB command line, instead of kernel.o, and then using loadusersymbols to load kernel.o.) loadusersymbols is implemented via GDB's add-symbol-file command.

  • GDB Macro: hook-stop

    • GDB invokes this macro every time the simulation stops, which Bochs will do for every processor exception, among other reasons. If the simulation stops due to a page fault, hook-stop will print a message that says and explains further whether the page fault occurred in the kernel or in user code.

    • If the exception occurred from user code, hook-stop will say:

pintos-debug: a page fault exception occurred in user mode
pintos-debug: hit 'c' to continue, or 's' to step to intr_handler

In Project 2, a page fault in a user process leads to the termination of the process. You should expect those page faults to occur in the robustness tests where we test that your kernel properly terminates processes that try to access invalid addresses. To debug those, set a break point in page_fault() in exception.c, which you will need to modify accordingly.

In Project 3, a page fault in a user process no longer automatically leads to the termination of a process. Instead, it may require reading in data for the page the process was trying to access, either because it was swapped out or because this is the first time it's accessed. In either case, you will reach page_fault() and need to take the appropriate action there.

If the page fault did not occur in user mode while executing a user process, then it occurred in kernel mode while executing kernel code. In this case, hook-stop will print this message:

pintos-debug: a page fault occurred in kernel mode

followed by the output of the btpagefault command.

Before Project 2, a page fault exception in kernel code is always a bug in your kernel, because your kernel should never crash. Starting with Project 2, the situation will change if you use the get_user() and put_user() strategy to verify user memory accesses (If you are don't know what does this mean, don't worry, you should understand when you work on Project 2.)

Example GDB Session

This section narrates a sample GDB session, provided by Godmar Back. This example illustrates how one might debug a Project 1 solution in which occasionally a thread that calls timer_sleep() is not woken up. With this bug, tests such as mlfqs_load_1 get stuck.

This session was captured with a slightly older version of Bochs and the GDB macros for Pintos, so it looks slightly different than it would now. Program output is shown in normal type, user input is after the "$" or "(gdb)".

  • First, I start Pintos:

$ pintos -v --gdb -- -q -mlfqs run mlfqs-load-1
Writing command line to /tmp/gDAlqTB5Uf.dsk...
bochs -q
========================================================================
                       Bochs x86 Emulator 2.2.5
             Build from CVS snapshot on December 30, 2005
========================================================================
00000000000i[     ] reading configuration from bochsrc.txt
00000000000i[     ] Enabled gdbstub
00000000000i[     ] installing nogui module as the Bochs GUI
00000000000i[     ] using log file bochsout.txt
Waiting for gdb connection on localhost:1234
  • Then, I open a second window on the same machine (or container) and start GDB:

$ pintos-gdb kernel.o
GNU gdb Red Hat Linux (6.3.0.0-1.84rh)
Copyright 2004 Free Software Foundation, Inc.
GDB is free software, covered by the GNU General Public License, and you are
welcome to change it and/or distribute copies of it under certain conditions.
Type "show copying" to see the conditions.
There is absolutely no warranty for GDB.  Type "show warranty" for details.
This GDB was configured as "i386-redhat-linux-gnu"...
Using host libthread_db library "/lib/libthread_db.so.1".
  • Then, I tell GDB to attach to the waiting Pintos emulator:

(gdb) debugpintos
Remote debugging using localhost:1234
0x0000fff0 in ?? ()
Reply contains invalid hex digit 78
  • Now I tell Pintos to run by executing c (short for continue) twice:

(gdb) c
Continuing.
Reply contains invalid hex digit 78
(gdb) c
Continuing.
  • Now Pintos will continue and output:

Pintos booting with 4,096 kB RAM...
Kernel command line: -q -mlfqs run mlfqs-load-1
374 pages available in kernel pool.
373 pages available in user pool.
Calibrating timer...  102,400 loops/s.
Boot complete.
Executing 'mlfqs-load-1':
(mlfqs-load-1) begin
(mlfqs-load-1) spinning for up to 45 seconds, please wait...
(mlfqs-load-1) load average rose to 0.5 after 42 seconds
(mlfqs-load-1) sleeping for another 10 seconds, please wait...
  • ...until it gets stuck because of the bug I had introduced. I hit Ctrl+C in the debugger window:

Program received signal 0, Signal 0.
0xc010168c in next_thread_to_run () at ../../threads/thread.c:649
649	  while (i <= PRI_MAX && list_empty (&ready_list[i]))
(gdb) 
  • The thread that was running when I interrupted Pintos was the idle thread. If I run backtrace, it shows this backtrace:

(gdb) bt
#0  0xc010168c in next_thread_to_run () at ../../threads/thread.c:649
#1  0xc0101778 in schedule () at ../../threads/thread.c:714
#2  0xc0100f8f in thread_block () at ../../threads/thread.c:324
#3  0xc0101419 in idle (aux=0x0) at ../../threads/thread.c:551
#4  0xc010145a in kernel_thread (function=0xc01013ff , aux=0x0)
    at ../../threads/thread.c:575
#5  0x00000000 in ?? ()

Not terribly useful. What I really like to know is what's up with the other thread (or threads). Since I keep all threads in a linked list called all_list, linked together by a struct list_elem member named allelem, I can use the btthreadlist macro from the macro library I wrote. btthreadlist iterates through the list of threads and prints the backtrace for each thread:

(gdb) btthreadlist all_list allelem
pintos-debug: dumping backtrace of thread 'main' @0xc002f000
#0  0xc0101820 in schedule () at ../../threads/thread.c:722
#1  0xc0100f8f in thread_block () at ../../threads/thread.c:324
#2  0xc0104755 in timer_sleep (ticks=1000) at ../../devices/timer.c:141
#3  0xc010bf7c in test_mlfqs_load_1 () at ../../tests/threads/mlfqs-load-1.c:49
#4  0xc010aabb in run_test (name=0xc0007d8c "mlfqs-load-1")
    at ../../tests/threads/tests.c:50
#5  0xc0100647 in run_task (argv=0xc0110d28) at ../../threads/init.c:281
#6  0xc0100721 in run_actions (argv=0xc0110d28) at ../../threads/init.c:331
#7  0xc01000c7 in main () at ../../threads/init.c:140

pintos-debug: dumping backtrace of thread 'idle' @0xc0116000
#0  0xc010168c in next_thread_to_run () at ../../threads/thread.c:649
#1  0xc0101778 in schedule () at ../../threads/thread.c:714
#2  0xc0100f8f in thread_block () at ../../threads/thread.c:324
#3  0xc0101419 in idle (aux=0x0) at ../../threads/thread.c:551
#4  0xc010145a in kernel_thread (function=0xc01013ff , aux=0x0)
    at ../../threads/thread.c:575
#5  0x00000000 in ?? ()

In this case, there are only two threads, the idle thread and the main thread. The kernel stack pages (to which the struct thread points) are at 0xc0116000 and 0xc002f000, respectively. The main thread is stuck in timer_sleep(), called from test_mlfqs_load_1.

Knowing where threads are stuck can be tremendously useful, for instance when diagnosing deadlocks or unexplained hangs.

FAQ

GDB can't connect to Bochs.

If the target remote command fails, then make sure that both GDB and pintos are running on the same machine (or container) by running hostname in each terminal. If the names printed differ, then you need to open a new terminal for GDB on the machine running pintos.

GDB doesn't recognize any of the macros.

If you start GDB with pintos-gdb, it should load the Pintos macros automatically. If you start GDB some other way, then you must issue the command source pintosdir/src/misc/gdb-macros, where pintosdir is the root of your Pintos directory, before you can use them.

Can I debug Pintos with DDD?

Yes, you can. DDD invokes GDB as a subprocess, so you'll need to tell it to invokes pintos-gdb instead:

ddd --gdb --debugger pintos-gdb

Can I use GDB inside Emacs?

Yes, you can. Emacs has special support for running GDB as a subprocess. Type M-x gdb and enter your pintos-gdb command at the prompt. The Emacs manual has information on how to use its debugging features in a section titled "Debuggers."

GDB is doing something weird.

If you notice strange behavior while using GDB, there are three possibilities: a bug in your modified Pintos, a bug in Bochs's interface to GDB or in GDB itself, or a bug in the original Pintos code. The first and second are quite likely, and you should seriously consider both. We hope that the third is less likely, but it is also possible.

Using GDB to Debug a Single Test

If you issue the make command to run a single test (see Run an individual test), you will see the command our test suite uses to generate .result output (see the example below). With this command added --gdb option before --, you can run this single test in gdb mode and then debug with pintos-gdb as above.

Tips

The page allocator in threads/palloc.c and the block allocator in threads/malloc.c clear all the bytes in memory to 0xcc at time of free.

  • Thus, if you see an attempt to dereference a pointer like 0xcccccccc, or some other reference to 0xcc, there's a good chance you're trying to reuse a page that's already been freed.

  • Also, byte 0xcc is the CPU opcode for "invoke interrupt 3," so if you see an error like Interrupt 0x03 (#BP Breakpoint Exception), then Pintos tried to execute code in a freed page or block.

An assertion failure on the expression sec_no < d->capacity indicates that:

  • Pintos tried to access a file through an inode that has been closed and freed. Freeing an inode clears its starting sector number to 0xcccccccc, which is not a valid sector number for disks smaller than about 1.6 TB.

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