The following code performs matrix multiplication in c$++.$

It takes integer pointers

int dot$\_$product$\_$i$($int$*$ m$1,$ int$*$ m$2,$ int r$,$ int c$,$ int l$)$

$\{$

int product $=0$;

for$($int i$=0$; i $<$ l; i$++)$

$\{$

int a $=$ m$1[$i $+$ r $*$ l$]$; $//$row of matrix $1$

int b $=$ m$2[$c $+$ i $*$ l$]$; $//$col of matrix $2$

product $+=$ a $*$b;

$\}$

return product;

$\}$

The following is the assembly for the above c$++$ code. The requirement is to remove redundant instructions to improve performance. Please provide new working assembly file with improved code. Please explain the improvement $($changes$)$ Thanks.

$.$text

$.$file $"$dp$\_$int.cpp$"$

$.$globl $\_$Z$13$dot$\_$product$\_$iPiS$\_$iii # $--$ Begin function $\_$Z$13$dot$\_$product$\_$iPiS$\_$iii

$.$p$2$align $4,0$x$90$

$.$type $\_$Z$13$dot$\_$product$\_$iPiS$\_$iii,@function

$\_$Z$13$dot$\_$product$\_$iPiS$\_$iii: # @$\_$Z$13$dot$\_$product$\_$iPiS$\_$iii

$.$cfi$\_$startproc

# $\%$bb$\mathrm{.}0$:

pushq $\%$rbp

$.$cfi$\_$def$\_$cfa$\_$offset $16$

$.$cfi$\_$offset $\%$rbp$,-16$

movq $\%$rsp$,\%$rbp

$.$cfi$\_$def$\_$cfa$\_$register $\%$rbp

movq $\%$rdi, $-8(\%$rbp$)$

movq $\%$rsi, $-16(\%$rbp$)$

movl $\%$edx, $-20(\%$rbp$)$

movl $\%$ecx, $-24(\%$rbp$)$

movl $\%$r$8$d$,-28(\%$rbp$)$

movl $$0,-32(\%$rbp$)$

movl $$0,-36(\%$rbp$)$

$.$LBB$0\_1$: # $=>$This Inner Loop Header: Depth$=1$

movl $-36(\%$rbp$),\%$eax

cmpl $-28(\%$rbp$),\%$eax

jge $.$LBB$0\_4$

# $\%$bb$\mathrm{.}2$: # in Loop: Header$=$BB$0\_1$ Depth$=1$

movq $-8(\%$rbp$),\%$rax

movl $-36(\%$rbp$),\%$ecx

movl $-20(\%$rbp$),\%$edx

imull $-28(\%$rbp$),\%$edx

addl $\%$edx, $\%$ecx

movslq $\%$ecx, $\%$rcx

movl $(\%$rax,$\%$rcx$,4),\%$eax

movl $\%$eax, $-40(\%$rbp$)$

movq $-16(\%$rbp$),\%$rax

movl $-24(\%$rbp$),\%$ecx

movl $-36(\%$rbp$),\%$edx

imull $-28(\%$rbp$),\%$edx

addl $\%$edx, $\%$ecx

movslq $\%$ecx, $\%$rcx

movl $(\%$rax,$\%$rcx$,4),\%$eax

movl $\%$eax, $-44(\%$rbp$)$

movl $-40(\%$rbp$),\%$eax

imull $-44(\%$rbp$),\%$eax

addl $-32(\%$rbp$),\%$eax

movl $\%$eax, $-32(\%$rbp$)$

# $\%$bb$\mathrm{.}3$: # in Loop: Header$=$BB$0\_1$ Depth$=1$

movl $-36(\%$rbp$),\%$eax

addl $$1,\%$eax

movl $\%$eax, $-36(\%$rbp$)$

jmp $.$LBB$0\_1$

$.$LBB$0\_4$:

movl $-32(\%$rbp$),\%$eax

popq $\%$rbp

$.$cfi$\_$def$\_$cfa $\%$rsp$,8$

retq

$.$Lfunc$\_$end$0$:

$.$size $\_$Z$13$dot$\_$product$\_$iPiS$\_$iii, $.$Lfunc$\_$end$0-\_$Z$13$dot$\_$product$\_$iPiS$\_$iii

$.$cfi$\_$endproc

# $--$ End function

$.$ident "clang version $17\mathrm{.}0\mathrm{.}6($CentOS $17\mathrm{.}0\mathrm{.}6-5.$el$9)"$

$.$section $".$note.GNU$-$stack","",@progbits

$.$addrsig