1 files changed, 9 insertions, 4 deletions
diff --git a/lupd.awk b/lupd.awk
index 39bf00c..08e1e30 100644
--- a/lupd.awk
+++ b/lupd.awk
@@ -9,6 +9,7 @@
 # note, matrix indexing begins with 1 and uses i=row, j=col
 # lu = L + U - I
 
+
 # solve A[n,n] * x[n] = b[n]
 function lu_solve(A, b, n) {
 
@@ -56,6 +57,7 @@ function lu_solve(A, b, n) {
 
 }
 
+
 # regex to identify strings that look like numbers
 BEGIN {
     OFS = FS
@@ -66,19 +68,21 @@ BEGIN {
     number = "^" sign "(" decimal "|" fraction ")" exponent "$"
 }
 
+
 # column headers
 NR == 1 {
     for (y=1; y<=NF; y++)
         ($y ~ number) ? header[y] = "col" y : header[y] = $y
 }
 
+
 # read input data
 NF > 0 {
     (NF > nf_max) ? nf_max = NF : nf_max = nf_max
 
-    ### columns
+    # columns
     for (y=1; y<=nf_max; y++) {
-        ### rows
+        # rows
         if ($y !~ number) {
             continue
         }
@@ -90,12 +94,13 @@ NF > 0 {
     }
 }
 
+
 END {
     print length(row_sum), length(col_sum)
-    ### columns
+    # columns
     for (y=1; y<=nf_max; y++) {
         if (y in col_sum) {
-            ### rows
+            # rows
             for (x=1; x<=NR; x++) {
                 if (x in row_sum) {
                     printf("[" OFMT "," OFMT "]" OFS OFMT OFS OFMT,