gawk: backport randtest stability fix

diff --git a/meta/recipes-extended/gawk/files/randtest-fix.patch b/meta/recipes-extended/gawk/files/randtest-fix.patch
new file mode 100644
index 0000000000..b909d52263
--- /dev/null
+++ b/meta/recipes-extended/gawk/files/randtest-fix.patch
@@ -0,0 +1,138 @@ 
+From f2250f4bc864913437619af7a9834a1c24915acd Mon Sep 17 00:00:00 2001
+From: "Arnold D. Robbins" <arnold@skeeve.com>
+Date: Thu, 28 May 2026 09:52:41 -0400
+Subject: [PATCH] Improve test/randtest.sh.
+
+Backport upstream fix to improve stability of randtest.sh by retrying
+when sigma is too small, avoiding intermittent failures.
+
+Upstream-Status: Backport [f2250f4bc864913437619af7a9834a1c24915acd]
+
+---
+
+diff --git a/test/randtest.sh b/test/randtest.sh
+index 597376a8..6ae6f830 100755
+--- a/test/randtest.sh
++++ b/test/randtest.sh
+@@ -45,68 +45,77 @@ $AWK 'BEGIN{
+     nsamples=('$NSAMPLES');
+     max_allowed_sigma=('$MAX_ALLOWED_SIGMA');
+     nruns=('$NRUNS');
+-    for(tau=0;tau<nsamples/2;tau++) corr[tau]=0;
++    max_retries=5
+ 
+-    for(run=0;run<nruns;run++) {
+-	sum=0;
++    for (retry=0; retry<max_retries; retry++) {
++        for(tau=0; tau<nsamples/2; tau++) corr[tau]=0;
+ 
+-	# Fill an array with a sequence of samples that are a
+-	# function of pairs of rand() values.
++        for(run=0; run<nruns; run++) {
++            sum=0;
+ 
+-	for(i=0;i<nsamples;i++) {
+-	   samp[i]=((rand()-0.5)*(rand()-0.5))^2;
+-	   sum=sum+samp[i];
+-	   }
++	    # Fill an array with a sequence of samples that are a
++	    # function of pairs of rand() values.
+ 
+-	# Subtract off the mean of the sequence:
++            for(i=0; i<nsamples; i++) {
++                samp[i]=((rand()-0.5)*(rand()-0.5))^2;
++	        sum=sum+samp[i];
++            }
+ 
+-	mean=sum/nsamples;
+-	for(i=0;i<nsamples;i++) samp[i]=samp[i]-mean;
++	    # Subtract off the mean of the sequence:
+ 
+-	# Calculate an autocorrelation function on the sequence.
+-	# Because the values of rand() should be independent, there
+-	# should be no peaks in the autocorrelation.
++	    mean=sum/nsamples;
++	    for(i=0;i<nsamples;i++) samp[i]=samp[i]-mean;
+ 
+-	for(tau=0;tau<nsamples/2;tau++) {
+-	    sum=0;
+-	    for(i=0;i<nsamples/2;i++) sum=sum+samp[i]*samp[i+tau];
+-	    corr[tau]=corr[tau]+sum;
+-	    }
++	    # Calculate an autocorrelation function on the sequence.
++	    # Because the values of rand() should be independent, there
++	    # should be no peaks in the autocorrelation.
+ 
+-	}
+-    # Normalize the autocorrelation to the tau=0 value.
++            for(tau=0; tau<nsamples/2; tau++) {
++	        sum=0;
++	        for(i=0;i<nsamples/2;i++) sum=sum+samp[i]*samp[i+tau];
++	        corr[tau]=corr[tau]+sum;
++            }
+ 
+-    max_corr=corr[0];
+-    for(tau=0;tau<nsamples/2;tau++) corr[tau]=corr[tau]/max_corr;
++        }
++        # Normalize the autocorrelation to the tau=0 value.
+ 
+-    # OPTIONALLY Print out the autocorrelation values:
++        max_corr=corr[0];
++        for(tau=0;tau<nsamples/2;tau++) corr[tau]=corr[tau]/max_corr;
+ 
+-    # for(tau=0;tau<nsamples/2;tau++) print tau, corr[tau] > "pairpower_corr.data";
++        # OPTIONALLY Print out the autocorrelation values:
+ 
+-    # Calculate the sigma for the non-zero tau values: 
++        # for(tau=0;tau<nsamples/2;tau++) print tau, corr[tau] > "pairpower_corr.data";
+ 
+-    power_sum=0;
++        # Calculate the sigma for the non-zero tau values: 
+ 
+-    for(tau=1;tau<nsamples/2;tau++) power_sum=power_sum+(corr[tau])^2;
++        power_sum=0;
+ 
+-    sigma=sqrt(power_sum/(nsamples/2-1));
++        for(tau=1;tau<nsamples/2;tau++) power_sum=power_sum+(corr[tau])^2;
+ 
+-    # See if any of the correlations exceed a reasonable number of sigma:
++        sigma=sqrt(power_sum/(nsamples/2-1));
+ 
+-    passed=1;
+-    for(tau=1;tau<nsamples/2;tau++) {
+-	if ( abs(corr[tau])/sigma > max_allowed_sigma ) {
+-	    print "Tau=", tau ", Autocorr=", corr[tau]/sigma, "sigma";
+-	    passed=0;
+-	    }
++        if (sigma < 1e-6) {
++            print "Sigma too small, retrying run", retry
++            continue
+         }
+-    if(!passed) {
+-	print "Test failed."
+-	exit(1);
++
++        # See if any of the correlations exceed a reasonable number of sigma:
++
++        for(tau=1;tau<nsamples/2;tau++) {
++            if (abs(corr[tau])/sigma > max_allowed_sigma) {
++                print "Tau=", tau ", Autocorr=", corr[tau]/sigma, "sigma";
++                print "Test failed."
++                exit 1
++            }
+         }
+-    else exit (0);
++
++        exit 0
+     }
+ 
++    print "Test failed after retries due to unstable sigma"
++    exit 1
++}
++
+ function abs(abs_input) { return(sqrt(abs_input^2)) ; }
+ '
+ 
+-- 
+2.34.1
+
diff --git a/meta/recipes-extended/gawk/gawk_5.3.0.bb b/meta/recipes-extended/gawk/gawk_5.3.0.bb
index ac9d8500d6..a6bf793e65 100644
--- a/meta/recipes-extended/gawk/gawk_5.3.0.bb
+++ b/meta/recipes-extended/gawk/gawk_5.3.0.bb
@@ -19,6 +19,7 @@  SRC_URI = "${GNU_MIRROR}/gawk/gawk-${PV}.tar.gz \
            file://0001-m4-readline-add-missing-includes.patch \
            file://run-ptest \
            "
+SRC_URI += "file://randtest-fix.patch"
 
 SRC_URI[sha256sum] = "378f8864ec21cfceaa048f7e1869ac9b4597b449087caf1eb55e440d30273336"