On 27/06/2026 16:35, Tierney, Luke via R-devel wrote:
I’m pretty sure that at the time this code was written, when R was used almost 
exclusively on 32-bit hardware, this was the option that performed best across 
a range of platforms. Also this pre-dated having int64_t available, so reliably 
getting a 64-bit integer variable across all platforms might have been 
challenging.

It was (and not all platforms had a complete C99 compiler). Further, my memory is that int64_t was made optional in C11 (it certainly is in current C17/23). Consider int_least64_t or int_fast64_t instead.

You could look at using __builtin_mul_overflow() when available to see if that 
helps. I suspect it doesn’t by enough to warrant the hassle of configure 
checks, but might be worth a try.

Best,

luke

On Jun 26, 2026, at 5:49 PM, Michael Chirico <[email protected]> wrote:

Hi all,

I submit myself humbly before you trying to understand something very
basic in low-level R.

The routine R_integer_times [1] is used to multiply two integers. It
works by multiplying the two integers _as integers_, then only
afterwards comparing the result of multiplying them _as doubles_, and
giving NA+warning if they don't match. Implicitly, it relies on x*y
wrapping around if x*y doesn't fit in 'int', however, strictly
speaking this is relying on UB. The comment acknowledges this, but
doesn't explain why we rely on it.

We can trigger this easily: 2L * .Machine$integer.max

This implementation has been around in R for many years. Why? Isn't it
preferable to use a 64-bit type to compute the multiplication? Even on
32-bit platforms it should be faster than the conversion to double
that's done now. I feel I must be missing something.

This patch survives 'make check':

Index: src/main/arithmetic.c
===================================================================
--- src/main/arithmetic.c       (revision 90193)
+++ src/main/arithmetic.c       (working copy)
@@ -348,15 +348,14 @@
     return x - y;
}

-#define GOODIPROD(x, y, z) ((double) (x) * (double) (y) == (z))
static R_INLINE int R_integer_times(int x, int y, bool *pnaflag)
{
     if (x == NA_INTEGER || y == NA_INTEGER)
        return NA_INTEGER;
     else {
-       int z = x * y;  // UBSAN will warn if this overflows (happens in bda)
-       if (GOODIPROD(x, y, z) && z != NA_INTEGER)
-           return z;
+       int64_t z = (int64_t)x * (int64_t)y;
+       if (z <= R_INT_MAX && z >= R_INT_MIN)
+           return (int)z;
        else {
            if (pnaflag != NULL)
                *pnaflag = true;

And this script shows the 30% performance improvement:

This likely depends on the hardware and the compiler, both unstated.

x <- y <- rep(10000L, 5e7)
system.time(for(i in 1:100) x * y)
# current trunk
#   user  system elapsed
# 13.631   1.056  14.691
# with patch
#   user  system elapsed
#  9.231   1.207  10.445

Mike C

[1] 
https://github.com/r-devel/r-svn/blob/4fa83d820f50676eef08c38fff0cdd6bfc10f5e5/src/main/arithmetic.c#L351-L366

Please refer to the actual R sources.

--
Brian D. Ripley,                  [email protected]
Emeritus Professor of Applied Statistics, University of Oxford

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