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+All about co_lnotab, the line number table.
+
+Code objects store a field named co_lnotab. This is an array of unsigned bytes
+disguised as a Python string. It is used to map bytecode offsets to source code
+line #s for tracebacks and to identify line number boundaries for line tracing.
+
+The array is conceptually a compressed list of
+ (bytecode offset increment, line number increment)
+pairs. The details are important and delicate, best illustrated by example:
+
+ byte code offset source code line number
+ 0 1
+ 6 2
+ 50 7
+ 350 307
+ 361 308
+
+Instead of storing these numbers literally, we compress the list by storing only
+the increments from one row to the next. Conceptually, the stored list might
+look like:
+
+ 0, 1, 6, 1, 44, 5, 300, 300, 11, 1
+
+The above doesn't really work, but it's a start. Note that an unsigned byte
+can't hold negative values, or values larger than 255, and the above example
+contains two such values. So we make two tweaks:
+
+ (a) there's a deep assumption that byte code offsets and their corresponding
+ line #s both increase monotonically, and
+ (b) if at least one column jumps by more than 255 from one row to the next,
+ more than one pair is written to the table. In case #b, there's no way to know
+ from looking at the table later how many were written. That's the delicate
+ part. A user of co_lnotab desiring to find the source line number
+ corresponding to a bytecode address A should do something like this
+
+ lineno = addr = 0
+ for addr_incr, line_incr in co_lnotab:
+ addr += addr_incr
+ if addr > A:
+ return lineno
+ lineno += line_incr
+
+(In C, this is implemented by PyCode_Addr2Line().) In order for this to work,
+when the addr field increments by more than 255, the line # increment in each
+pair generated must be 0 until the remaining addr increment is < 256. So, in
+the example above, assemble_lnotab in compile.c should not (as was actually done
+until 2.2) expand 300, 300 to
+ 255, 255, 45, 45,
+but to
+ 255, 0, 45, 255, 0, 45.
+
+The above is sufficient to reconstruct line numbers for tracebacks, but not for
+line tracing. Tracing is handled by PyCode_CheckLineNumber() in codeobject.c
+and maybe_call_line_trace() in ceval.c.
+
+*** Tracing ***
+
+To a first approximation, we want to call the tracing function when the line
+number of the current instruction changes. Re-computing the current line for
+every instruction is a little slow, though, so each time we compute the line
+number we save the bytecode indices where it's valid:
+
+ *instr_lb <= frame->f_lasti < *instr_ub
+
+is true so long as execution does not change lines. That is, *instr_lb holds
+the first bytecode index of the current line, and *instr_ub holds the first
+bytecode index of the next line. As long as the above expression is true,
+maybe_call_line_trace() does not need to call PyCode_CheckLineNumber(). Note
+that the same line may appear multiple times in the lnotab, either because the
+bytecode jumped more than 255 indices between line number changes or because
+the compiler inserted the same line twice. Even in that case, *instr_ub holds
+the first index of the next line.
+
+However, we don't *always* want to call the line trace function when the above
+test fails.
+
+Consider this code:
+
+1: def f(a):
+2: while a:
+3: print 1,
+4: break
+5: else:
+6: print 2,
+
+which compiles to this:
+
+ 2 0 SETUP_LOOP 19 (to 22)
+ >> 3 LOAD_FAST 0 (a)
+ 6 POP_JUMP_IF_FALSE 17
+
+ 3 9 LOAD_CONST 1 (1)
+ 12 PRINT_ITEM
+
+ 4 13 BREAK_LOOP
+ 14 JUMP_ABSOLUTE 3
+ >> 17 POP_BLOCK
+
+ 6 18 LOAD_CONST 2 (2)
+ 21 PRINT_ITEM
+ >> 22 LOAD_CONST 0 (None)
+ 25 RETURN_VALUE
+
+If 'a' is false, execution will jump to the POP_BLOCK instruction at offset 17
+and the co_lnotab will claim that execution has moved to line 4, which is wrong.
+In this case, we could instead associate the POP_BLOCK with line 5, but that
+would break jumps around loops without else clauses.
+
+We fix this by only calling the line trace function for a forward jump if the
+co_lnotab indicates we have jumped to the *start* of a line, i.e. if the current
+instruction offset matches the offset given for the start of a line by the
+co_lnotab. For backward jumps, however, we always call the line trace function,
+which lets a debugger stop on every evaluation of a loop guard (which usually
+won't be the first opcode in a line).
+
+Why do we set f_lineno when tracing, and only just before calling the trace
+function? Well, consider the code above when 'a' is true. If stepping through
+this with 'n' in pdb, you would stop at line 1 with a "call" type event, then
+line events on lines 2, 3, and 4, then a "return" type event -- but because the
+code for the return actually falls in the range of the "line 6" opcodes, you
+would be shown line 6 during this event. This is a change from the behaviour in
+2.2 and before, and I've found it confusing in practice. By setting and using
+f_lineno when tracing, one can report a line number different from that
+suggested by f_lasti on this one occasion where it's desirable.