($a_4,$a_5,$a_6,$a_7)=($b_0,$b_1,$b_2,$b_3);
+sub add_c2 () {
+my ($hi,$lo,$c0,$c1,$c2,
+ $warm, # !$warm denotes first call with specific sequence of
+ # $c_[XYZ] when there is no Z-carry to accumulate yet;
+ $an,$bn # these two are arguments for multiplication which
+ # result is used in *next* step [which is why it's
+ # commented as "forward multiplication" below];
+ )=@_;
+$code.=<<___;
+ mflo $lo
+ mfhi $hi
+ $ADDU $c0,$lo
+ sltu $at,$c0,$lo
+ $MULTU $an,$bn # forward multiplication
+ $ADDU $c0,$lo
+ $ADDU $at,$hi
+ sltu $lo,$c0,$lo
+ $ADDU $c1,$at
+ $ADDU $hi,$lo
+___
+$code.=<<___ if (!$warm);
+ sltu $c2,$c1,$at
+ $ADDU $c1,$hi
+ sltu $hi,$c1,$hi
+ $ADDU $c2,$hi
+___
+$code.=<<___ if ($warm);
+ sltu $at,$c1,$at
+ $ADDU $c1,$hi
+ $ADDU $c2,$at
+ sltu $hi,$c1,$hi
+ $ADDU $c2,$hi
+___
+}
+
$code.=<<___;
.align 5
sltu $at,$c_2,$t_1
$ADDU $c_3,$t_2,$at
$ST $c_2,$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_1 # mul_add_c(a[1],b[1],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_1,$a_1); # mul_add_c(a[1],b[1],c3,c1,c2);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_3,$t_1
sltu $at,$c_1,$t_2
$ADDU $c_2,$at
$ST $c_3,2*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_3,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_2 # mul_add_c2(a[1],b[2],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_4,$a_0 # mul_add_c2(a[4],b[0],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
+___
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,0,
+ $a_1,$a_2); # mul_add_c2(a[1],b[2],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_4,$a_0); # mul_add_c2(a[4],b[0],c2,c3,c1);
+$code.=<<___;
$ST $c_1,3*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_1,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_3,$a_1 # mul_add_c2(a[3],b[1],c2,c3,c1);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_1,$at
- $MULTU $a_2,$a_2 # mul_add_c(a[2],b[2],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
+___
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,0,
+ $a_3,$a_1); # mul_add_c2(a[3],b[1],c2,c3,c1);
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,1,
+ $a_2,$a_2); # mul_add_c(a[2],b[2],c2,c3,c1);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_2,$t_1
sltu $at,$c_3,$t_2
$ADDU $c_1,$at
$ST $c_2,4*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_4 # mul_add_c2(a[1],b[4],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_2,$at
- $MULTU $a_2,$a_3 # mul_add_c2(a[2],b[3],c3,c1,c2);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $MULTU $a_6,$a_0 # mul_add_c2(a[6],b[0],c1,c2,c3);
- $ADDU $c_2,$at
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_1,$a_4); # mul_add_c2(a[1],b[4],c3,c1,c2);
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,1,
+ $a_2,$a_3); # mul_add_c2(a[2],b[3],c3,c1,c2);
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,1,
+ $a_6,$a_0); # mul_add_c2(a[6],b[0],c1,c2,c3);
+$code.=<<___;
$ST $c_3,5*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_3,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_5,$a_1 # mul_add_c2(a[5],b[1],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_4,$a_2 # mul_add_c2(a[4],b[2],c1,c2,c3);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_3,$a_3 # mul_add_c(a[3],b[3],c1,c2,c3);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
+___
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,0,
+ $a_5,$a_1); # mul_add_c2(a[5],b[1],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_4,$a_2); # mul_add_c2(a[4],b[2],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_3,$a_3); # mul_add_c(a[3],b[3],c1,c2,c3);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_1,$t_1
sltu $at,$c_2,$t_2
$ADDU $c_3,$at
$ST $c_1,6*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_1,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_6 # mul_add_c2(a[1],b[6],c2,c3,c1);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_1,$at
- $MULTU $a_2,$a_5 # mul_add_c2(a[2],b[5],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_1,$at
- $MULTU $a_3,$a_4 # mul_add_c2(a[3],b[4],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_1,$at
- $MULTU $a_7,$a_1 # mul_add_c2(a[7],b[1],c3,c1,c2);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
+___
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,0,
+ $a_1,$a_6); # mul_add_c2(a[1],b[6],c2,c3,c1);
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,1,
+ $a_2,$a_5); # mul_add_c2(a[2],b[5],c2,c3,c1);
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,1,
+ $a_3,$a_4); # mul_add_c2(a[3],b[4],c2,c3,c1);
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,1,
+ $a_7,$a_1); # mul_add_c2(a[7],b[1],c3,c1,c2);
+$code.=<<___;
$ST $c_2,7*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_6,$a_2 # mul_add_c2(a[6],b[2],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_2,$at
- $MULTU $a_5,$a_3 # mul_add_c2(a[5],b[3],c3,c1,c2);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_2,$at
- $MULTU $a_4,$a_4 # mul_add_c(a[4],b[4],c3,c1,c2);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_6,$a_2); # mul_add_c2(a[6],b[2],c3,c1,c2);
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,1,
+ $a_5,$a_3); # mul_add_c2(a[5],b[3],c3,c1,c2);
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,1,
+ $a_4,$a_4); # mul_add_c(a[4],b[4],c3,c1,c2);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_3,$t_1
sltu $at,$c_1,$t_2
$ADDU $c_2,$at
$ST $c_3,8*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_3,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_3,$a_6 # mul_add_c2(a[3],b[6],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_4,$a_5 # mul_add_c2(a[4],b[5],c1,c2,c3);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_7,$a_3 # mul_add_c2(a[7],b[3],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
+___
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,0,
+ $a_3,$a_6); # mul_add_c2(a[3],b[6],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_4,$a_5); # mul_add_c2(a[4],b[5],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_7,$a_3); # mul_add_c2(a[7],b[3],c2,c3,c1);
+$code.=<<___;
$ST $c_1,9*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_1,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_6,$a_4 # mul_add_c2(a[6],b[4],c2,c3,c1);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_1,$at
- $MULTU $a_5,$a_5 # mul_add_c(a[5],b[5],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
+___
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,0,
+ $a_6,$a_4); # mul_add_c2(a[6],b[4],c2,c3,c1);
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,1,
+ $a_5,$a_5); # mul_add_c(a[5],b[5],c2,c3,c1);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_2,$t_1
sltu $at,$c_3,$t_2
$ADDU $c_1,$at
$ST $c_2,10*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_5,$a_6 # mul_add_c2(a[5],b[6],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_2,$at
- $MULTU $a_7,$a_5 # mul_add_c2(a[7],b[5],c1,c2,c3);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_5,$a_6); # mul_add_c2(a[5],b[6],c3,c1,c2);
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,1,
+ $a_7,$a_5); # mul_add_c2(a[7],b[5],c1,c2,c3);
+$code.=<<___;
$ST $c_3,11*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_3,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_6,$a_6 # mul_add_c(a[6],b[6],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
+___
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,0,
+ $a_6,$a_6); # mul_add_c(a[6],b[6],c1,c2,c3);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_1,$t_1
sltu $at,$c_2,$t_2
$ADDU $c_3,$at
$ST $c_1,12*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_1,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_7,$a_7 # mul_add_c(a[7],b[7],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
+___
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,0,
+ $a_7,$a_7); # mul_add_c(a[7],b[7],c3,c1,c2);
+$code.=<<___;
$ST $c_2,13*$BNSZ($a0)
mflo $t_1
sltu $at,$c_2,$t_1
$ADDU $c_3,$t_2,$at
$ST $c_2,$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_1 # mul_add_c(a[1],b[1],c3,c1,c2);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_1,$a_1); # mul_add_c(a[1],b[1],c3,c1,c2);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_3,$t_1
sltu $at,$c_1,$t_2
$ADDU $c_2,$at
$ST $c_3,2*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_3,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_1,$a_2 # mul_add_c(a2[1],b[2],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
- mflo $t_1
- mfhi $t_2
- slt $at,$t_2,$zero
- $ADDU $c_3,$at
- $MULTU $a_3,$a_1 # mul_add_c2(a[3],b[1],c2,c3,c1);
- $SLL $t_2,1
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_1,$t_1
- sltu $at,$c_1,$t_1
- $ADDU $t_2,$at
- $ADDU $c_2,$t_2
- sltu $at,$c_2,$t_2
- $ADDU $c_3,$at
+___
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,0,
+ $a_1,$a_2); # mul_add_c2(a2[1],b[2],c1,c2,c3);
+ &add_c2($t_2,$t_1,$c_1,$c_2,$c_3,1,
+ $a_3,$a_1); # mul_add_c2(a[3],b[1],c2,c3,c1);
+$code.=<<___;
$ST $c_1,3*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_1,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_2,$a_2 # mul_add_c(a[2],b[2],c2,c3,c1);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_2,$t_1
- sltu $at,$c_2,$t_1
- $ADDU $t_2,$at
- $ADDU $c_3,$t_2
- sltu $at,$c_3,$t_2
- $ADDU $c_1,$at
+___
+ &add_c2($t_2,$t_1,$c_2,$c_3,$c_1,0,
+ $a_2,$a_2); # mul_add_c(a[2],b[2],c2,c3,c1);
+$code.=<<___;
mflo $t_1
mfhi $t_2
$ADDU $c_2,$t_1
sltu $at,$c_3,$t_2
$ADDU $c_1,$at
$ST $c_2,4*$BNSZ($a0)
-
- mflo $t_1
- mfhi $t_2
- slt $c_2,$t_2,$zero
- $SLL $t_2,1
- $MULTU $a_3,$a_3 # mul_add_c(a[3],b[3],c1,c2,c3);
- slt $a2,$t_1,$zero
- $ADDU $t_2,$a2
- $SLL $t_1,1
- $ADDU $c_3,$t_1
- sltu $at,$c_3,$t_1
- $ADDU $t_2,$at
- $ADDU $c_1,$t_2
- sltu $at,$c_1,$t_2
- $ADDU $c_2,$at
+___
+ &add_c2($t_2,$t_1,$c_3,$c_1,$c_2,0,
+ $a_3,$a_3); # mul_add_c(a[3],b[3],c1,c2,c3);
+$code.=<<___;
$ST $c_3,5*$BNSZ($a0)
mflo $t_1
/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
+/*
+ * Keep in mind that carrying into high part of multiplication result
+ * can not overflow, because it cannot be all-ones.
+ */
#if 0
/* original macros are kept for reference purposes */
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- t1 = ta * tb; \
- t2 = BN_UMULT_HIGH(ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- t1 = BN_UMULT_HIGH(ta,tb); \
- t0 = ta * tb; \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi, tt; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; tt = hi+((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
#else
#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
asm ("mulq %3" \
: "=a"(t1),"=d"(t2) \
: "a"(a),"m"(b) \
: "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
} while (0)
#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
asm ("mulq %2" \
: "=a"(t1),"=d"(t2) \
: "a"(a[i]) \
: "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
} while (0)
#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG t1,t2; \
asm ("mulq %3" \
: "=a"(t1),"=d"(t2) \
: "a"(a),"m"(b) \
: "cc"); \
- asm ("addq %0,%0; adcq %2,%1" \
- : "+d"(t2),"+r"(c2) \
- : "g"(0) \
- : "cc"); \
- asm ("addq %0,%0; adcq %2,%1" \
- : "+a"(t1),"+d"(t2) \
- : "g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c0),"+d"(t2) \
- : "a"(t1),"g"(0) \
- : "cc"); \
- asm ("addq %2,%0; adcq %3,%1" \
- : "+r"(c1),"+r"(c2) \
- : "d"(t2),"g"(0) \
- : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
+ asm ("addq %3,%0; adcq %4,%1; adcq %5,%2" \
+ : "+r"(c0),"+r"(c1),"+r"(c2) \
+ : "r"(t1),"r"(t2),"g"(0) \
+ : "cc"); \
} while (0)
#endif
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
{
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
{
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
{
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
{
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
#ifdef BN_LLONG
-#define mul_add_c(a,b,c0,c1,c2) \
- t=(BN_ULLONG)a*b; \
- t1=(BN_ULONG)Lw(t); \
- t2=(BN_ULONG)Hw(t); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define mul_add_c2(a,b,c0,c1,c2) \
- t=(BN_ULLONG)a*b; \
- tt=(t+t)&BN_MASK; \
- if (tt < t) c2++; \
- t1=(BN_ULONG)Lw(tt); \
- t2=(BN_ULONG)Hw(tt); \
- c0=(c0+t1)&BN_MASK2; \
- if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c(a,i,c0,c1,c2) \
- t=(BN_ULLONG)a[i]*a[i]; \
- t1=(BN_ULONG)Lw(t); \
- t2=(BN_ULONG)Hw(t); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+/*
+ * Keep in mind that additions to multiplication result can not
+ * overflow, because its high half cannot be all-ones.
+ */
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)(a)*(b); \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)(a)*(b); \
+ BN_ULLONG tt = t+c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(tt); \
+ hi = (BN_ULONG)Hw(tt); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)a[i]*a[i]; \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
#define sqr_add_c2(a,i,j,c0,c1,c2) \
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
#elif defined(BN_UMULT_LOHI)
-
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- BN_UMULT_LOHI(t1,t2,ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- BN_UMULT_LOHI(t0,t1,ta,tb); \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c(a,i,c0,c1,c2) { \
- BN_ULONG ta=(a)[i]; \
- BN_UMULT_LOHI(t1,t2,ta,ta); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi, tt; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; tt = hi+((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
#define sqr_add_c2(a,i,j,c0,c1,c2) \
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
#elif defined(BN_UMULT_HIGH)
-
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- t1 = ta * tb; \
- t2 = BN_UMULT_HIGH(ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- t1 = BN_UMULT_HIGH(ta,tb); \
- t0 = ta * tb; \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c(a,i,c0,c1,c2) { \
- BN_ULONG ta=(a)[i]; \
- t1 = ta * ta; \
- t2 = BN_UMULT_HIGH(ta,ta); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo = ta * tb; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b), tt; \
+ BN_ULONG lo = ta * tb; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,tb); \
+ c0 += lo; tt = hi + ((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo = ta * ta; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
#define sqr_add_c2(a,i,j,c0,c1,c2) \
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
#else /* !BN_LLONG */
-#define mul_add_c(a,b,c0,c1,c2) \
- t1=LBITS(a); t2=HBITS(a); \
- bl=LBITS(b); bh=HBITS(b); \
- mul64(t1,t2,bl,bh); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define mul_add_c2(a,b,c0,c1,c2) \
- t1=LBITS(a); t2=HBITS(a); \
- bl=LBITS(b); bh=HBITS(b); \
- mul64(t1,t2,bl,bh); \
- if (t2 & BN_TBIT) c2++; \
- t2=(t2+t2)&BN_MASK2; \
- if (t1 & BN_TBIT) t2++; \
- t1=(t1+t1)&BN_MASK2; \
- c0=(c0+t1)&BN_MASK2; \
- if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c(a,i,c0,c1,c2) \
- sqr64(t1,t2,(a)[i]); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG lo = LBITS(a), hi = HBITS(a); \
+ BN_ULONG bl = LBITS(b), bh = HBITS(b); \
+ mul64(lo,hi,bl,bh); \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG tt; \
+ BN_ULONG lo = LBITS(a), hi = HBITS(a); \
+ BN_ULONG bl = LBITS(b), bh = HBITS(b); \
+ mul64(lo,hi,bl,bh); \
+ tt = hi; \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) tt++; \
+ c1 = (c1+tt)&BN_MASK2; if (c1<tt) c2++; \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG lo, hi; \
+ sqr64(lo,hi,(a)[i]); \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
#define sqr_add_c2(a,i,j,c0,c1,c2) \
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
{
-#ifdef BN_LLONG
- BN_ULLONG t;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
{
-#ifdef BN_LLONG
- BN_ULLONG t;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
{
-#ifdef BN_LLONG
- BN_ULLONG t,tt;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
{
-#ifdef BN_LLONG
- BN_ULLONG t,tt;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
BN_ULONG c1,c2,c3;
c1=0;
int test_sqr(BIO *bp, BN_CTX *ctx)
{
- BIGNUM a,c,d,e;
- int i;
+ BIGNUM *a,*c,*d,*e;
+ int i, ret = 0;
- BN_init(&a);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
+ a = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+ if (a == NULL || c == NULL || d == NULL || e == NULL)
+ {
+ goto err;
+ }
for (i=0; i<num0; i++)
{
- BN_bntest_rand(&a,40+i*10,0,0);
- a.neg=rand_neg();
- BN_sqr(&c,&a,ctx);
+ BN_bntest_rand(a,40+i*10,0,0);
+ a->neg=rand_neg();
+ BN_sqr(c,a,ctx);
if (bp != NULL)
{
if (!results)
{
- BN_print(bp,&a);
+ BN_print(bp,a);
BIO_puts(bp," * ");
- BN_print(bp,&a);
+ BN_print(bp,a);
BIO_puts(bp," - ");
}
- BN_print(bp,&c);
+ BN_print(bp,c);
BIO_puts(bp,"\n");
}
- BN_div(&d,&e,&c,&a,ctx);
- BN_sub(&d,&d,&a);
- if(!BN_is_zero(&d) || !BN_is_zero(&e))
- {
- fprintf(stderr,"Square test failed!\n");
- return 0;
- }
+ BN_div(d,e,c,a,ctx);
+ BN_sub(d,d,a);
+ if(!BN_is_zero(d) || !BN_is_zero(e))
+ {
+ fprintf(stderr,"Square test failed!\n");
+ goto err;
+ }
}
- BN_free(&a);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- return(1);
+
+ /* Regression test for a BN_sqr overflow bug. */
+ BN_hex2bn(&a,
+ "80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000");
+ BN_sqr(c, a, ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d, a, a, ctx);
+ if (BN_cmp(c, d))
+ {
+ fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
+ "different results!\n");
+ goto err;
+ }
+
+ /* Regression test for a BN_sqr overflow bug. */
+ BN_hex2bn(&a,
+ "80000000000000000000000080000001FFFFFFFE000000000000000000000000");
+ BN_sqr(c, a, ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d, a, a, ctx);
+ if (BN_cmp(c, d))
+ {
+ fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
+ "different results!\n");
+ goto err;
+ }
+ ret = 1;
+err:
+ if (a != NULL) BN_free(a);
+ if (c != NULL) BN_free(c);
+ if (d != NULL) BN_free(d);
+ if (e != NULL) BN_free(e);
+ return ret;
}
int test_mont(BIO *bp, BN_CTX *ctx)