The reason for this result can be found in documentation of function strtol which is used first on using the comparison operators EQU, NEQ, LSS, LEQ, GTR, GEQ as explained in my answer on Symbol equivalent to NEQ, LSS, GTR, etc. in Windows batch files.
Return Value
On success, the function returns the converted integral number as a long int value.
If no valid conversion could be performed, a zero value is returned (0L).
If the value read is out of the range of representable values by a long int, the function returns LONG_MAX or LONG_MIN (defined in <climits>), and errno is set to ERANGE.
The last sentence is most important here.
It looks like IF in cmd.exe is coded similar to this C code:
#include <errno.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int main (int argc, char* argv[])
{
const char csNo[] = "no";
const char csYes[] = "yes";
char* pcEndValue1;
char* pcEndValue2;
int iExitCode = 2;
int iErrorNumber1;
int iErrorNumber2;
int iStringResult1;
int iStringResult2;
long lIntegerValue1;
long lIntegerValue2;
if(argc > 2)
{
/* Convert the two arguments to 32-bit signed integers. */
lIntegerValue1 = strtol(argv[1],&pcEndValue1,0);
iErrorNumber1 = errno;
lIntegerValue2 = strtol(argv[2],&pcEndValue2,0);
iErrorNumber2 = errno;
/* Failed the conversion for any of the two arguments? */
if(((lIntegerValue1 == 0) && (*pcEndValue1 != '')) ||
((lIntegerValue2 == 0) && (*pcEndValue2 != '')))
{
/* Compare case-sensitive the two arguments as strings. */
iStringResult1 = strcmp(argv[1],argv[2]);
iStringResult2 = strcmp(argv[2],argv[1]);
printf("String comparing %s (a) with %s (b):
",argv[1],argv[2]);
printf("a GEQ b: %s
",(iStringResult1 >= 0) ? csYes : csNo);
printf("b GEQ a: %s
",(iStringResult2 >= 0) ? csYes : csNo);
printf("a LEQ b: %s
",(iStringResult1 <= 0) ? csYes : csNo);
printf("b LEQ a: %s
",(iStringResult2 <= 0) ? csYes : csNo);
printf("a EQU b: %s
",(iStringResult2 == 0) ? csYes : csNo);
iExitCode = 1;
}
else
{
/* Compare the values. */
printf("Value comparing %s/%ld (a) with %s/%ld (b):
",argv[1],lIntegerValue1,argv[2],lIntegerValue2);
printf("a GEQ b: %s
",(lIntegerValue1 >= lIntegerValue2) ? csYes : csNo);
printf("b GEQ a: %s
",(lIntegerValue2 >= lIntegerValue1) ? csYes : csNo);
printf("a LEQ b: %s
",(lIntegerValue1 <= lIntegerValue2) ? csYes : csNo);
printf("b LEQ a: %s
",(lIntegerValue2 <= lIntegerValue1) ? csYes : csNo);
printf("a EQU b: %s
",(lIntegerValue2 == lIntegerValue1) ? csYes : csNo);
iExitCode = 0;
}
printf("
Error number a: %d ... %s
",iErrorNumber1,strerror(iErrorNumber1));
printf("Error number b: %d ... %s
",iErrorNumber2,strerror(iErrorNumber2));
}
return iExitCode;
}
Compiling this C code as console application and running the executable with the parameters 333333333333 444444444444 results for example in output:
Value comparing 333333333333/2147483647 (a) with 444444444444/2147483647 (b):
a GEQ b: yes
b GEQ a: yes
a LEQ b: yes
b LEQ a: yes
a EQU b: yes
Error number a: 2 ... Output of function out of range (ERANGE)
Error number b: 2 ... Output of function out of range (ERANGE)
And running the executable with the parameters 333333333333 222222222222 results for example in output:
Value comparing 333333333333/2147483647 (a) with 222222222222/2147483647 (b):
a GEQ b: yes
b GEQ a: yes
a LEQ b: yes
b LEQ a: yes
a EQU b: yes
Error number a: 2 ... Output of function out of range (ERANGE)
Error number b: 2 ... Output of function out of range (ERANGE)
Note: The error number and the corresponding error string can differ depending on used C compiler respectively standard library.
In both test cases both arguments resulted in a 32-bit signed integer overflow on conversion from string to long int. Therefore strtol returned for all four values LONG_MAX and set errno to ERANGE. But the overflow condition is not evaluated by code of IF in cmd.exe. It is just checked the conversion result and on which character the end pointer points to for both arguments like by the C code above.
In other words IF processes on usage of comparison operators EQU, NEQ, LSS, LEQ, GTR, GEQ always an integer comparison as long as conversion from string to integer does not fail for any of the two arguments because of an invalid character in argument strings. An out of range condition is no reason for IF not doing an integer comparison.
A string comparison is done only if one of the two argument strings contains an invalid character for an integer.
