libmp: add awk-generated tests

This commit is contained in:
aiju 2018-05-05 12:14:39 +00:00
parent a7a07b2d43
commit ec60da4961
6 changed files with 1021 additions and 0 deletions

10
sys/src/libmp/test/dat.h Normal file
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typedef struct ldint ldint;
struct ldint {
int n;
u8int *b;
};
enum {NTEST = 2 * 257 + 32};
#pragma varargck type "L" ldint *

8
sys/src/libmp/test/fns.h Normal file
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ldint* ldnew(int);
void ldfree(ldint *);
void testgen(int, ldint *);
int ldmpeq(ldint *, mpint *);
mpint* ldtomp(ldint *, mpint *);
void mptarget(mpint *);
void tests(void);
void mpdiv_(mpint *, mpint *, mpint *, mpint *);

660
sys/src/libmp/test/ld.c Normal file
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#include <u.h>
#include <libc.h>
#include <mp.h>
#include <libsec.h>
#include "dat.h"
#include "fns.h"
ldint _ldzero = {1, (u8int*)"\0"};
ldint _ldone = {2, (u8int*)"\1\0"};
ldint *ldzero = &_ldzero;
ldint *ldone = &_ldone;
int
ldget(ldint *a, int n)
{
if(n < 0) return 0;
if(n >= a->n) return a->b[a->n - 1]&1;
return a->b[n]&1;
}
void
ldbits(ldint *a, int n)
{
a->b = realloc(a->b, n);
a->n = n;
}
ldint *
ldnorm(ldint *a)
{
int i;
if(a->n > 0){
for(i = a->n - 2; i >= 0; i--)
if(a->b[i] != a->b[a->n-1])
break;
ldbits(a, i + 2);
}else{
ldbits(a, 1);
a->b[0] = 0;
}
return a;
}
void
ldneg(ldint *a)
{
int i, c, s, z;
c = 1;
s = a->b[a->n - 1];
z = 1;
for(i = 0; i < a->n; i++){
if(a->b[i]) z = 0;
c += 1 ^ a->b[i] & 1;
a->b[i] = c & 1;
c >>= 1;
}
if(!z && s == a->b[a->n - 1]){
ldbits(a, a->n + 1);
a->b[a->n - 1] = !s;
}
}
int
max(int a, int b)
{
return a>b? a : b;
}
ldint *
ldnew(int n)
{
ldint *a;
a = malloc(sizeof(ldint));
if(n <= 0) n = 1;
a->b = malloc(n);
a->n = n;
return a;
}
void
ldfree(ldint *a)
{
if(a == nil) return;
free(a->b);
free(a);
}
void
ldsanity(ldint *a)
{
int i;
assert(a->n > 0);
for(i = 0; i < a->n; i++)
assert(a->b[i] < 2);
}
ldint *
ldrand(int n, ldint *a)
{
int i;
if(a == nil)
a = ldnew(n);
else
ldbits(a, n);
for(i = 0; i < n; i++)
a->b[i] = rand() & 1;
return a;
}
mpint *
ldtomp(ldint *a, mpint *b)
{
int s, c, i;
if(b == nil)
b = mpnew(0);
mpbits(b, a->n);
s = a->b[a->n - 1] & 1;
b->sign = 1 - 2 * s;
c = s;
memset(b->p, 0, (a->n + Dbits - 1) / Dbits * Dbytes);
for(i = 0; i < a->n; i++){
c += s ^ a->b[i] & 1;
b->p[i / Dbits] |= (mpdigit)(c & 1) << (i & Dbits - 1);
c >>= 1;
}
b->top = (a->n + Dbits - 1) / Dbits;
mpnorm(b);
return b;
}
void
mptold(mpint *b, ldint *a)
{
int i, j, n, c;
n = mpsignif(b) + 1;
ldbits(a, n);
memset(a->b, 0, n);
for(i = 0; i <= b->top; i++)
for(j = 0; j < Dbits; j++)
if(Dbits * i + j < n)
a->b[Dbits * i + j] = b->p[i] >> j & 1;
if(b->sign < 0){
c = 1;
for(i = 0; i < a->n; i++){
c += 1 ^ a->b[i] & 1;
a->b[i] = c & 1;
c >>= 1;
}
}
}
ldint *
itold(int n, ldint *a)
{
int i;
if(a == nil)
a = ldnew(sizeof(n)*8);
else
ldbits(a, sizeof(n)*8);
for(i = 0; i < sizeof(n)*8; i++)
a->b[i] = n >> i & 1;
ldnorm(a);
return a;
}
ldint *
pow2told(int n, ldint *a)
{
int k;
k = abs(n);
if(a == nil)
a = ldnew(k+2);
else
ldbits(a, k+2);
memset(a->b, 0, k+2);
a->b[k] = 1;
if(n < 0) ldneg(a);
ldnorm(a);
return a;
}
int
ldfmt(Fmt *f)
{
ldint *a;
char *b, *p;
int i, d, s, c;
a = va_arg(f->args, ldint *);
d = (a->n + 3) / 4;
b = calloc(1, d + 1);
c = s = a->b[a->n - 1];
for(i = 0; i < a->n; i++){
c += s^ldget(a, i);
b[d - 1 - (i >> 2)] |= (c & 1) << (i & 3);
c >>= 1;
}
for(i = 0; i < d; i++)
b[i] = "0123456789ABCDEF"[b[i]];
p = b;
while(*p == '0' && p[1] != 0) p++;
if(a->b[a->n - 1]) fmtrune(f, '-');
fmtprint(f, "0x%s", p);
free(b);
return 0;
}
int
ldcmp(ldint *a, ldint *b)
{
int x, y;
int i, r;
r = max(a->n, b->n);
if(a->b[a->n-1] != b->b[b->n-1])
return b->b[b->n - 1] - a->b[a->n - 1];
for(i = r - 1; --i >= 0; ){
x = ldget(a, i);
y = ldget(b, i);
if(x != y)
return x - y;
}
return 0;
}
int
ldmagcmp(ldint *a, ldint *b)
{
int s1, s2, r;
s1 = a->b[a->n - 1];
s2 = b->b[b->n - 1];
if(s1) ldneg(a);
if(s2) ldneg(b);
r = ldcmp(a, b);
if(s1) ldneg(a);
if(s2) ldneg(b);
return r;
}
int
ldmpeq(ldint *a, mpint *b)
{
int i, c;
if(b->sign > 0){
for(i = 0; i < b->top * Dbits; i++)
if(ldget(a, i) != (b->p[i / Dbits] >> (i & Dbits - 1) & 1))
return 0;
for(; i < a->n; i++)
if(a->b[i] != 0)
return 0;
return 1;
}else{
c = 1;
for(i = 0; i < b->top * Dbits; i++){
c += !ldget(a, i);
if((c & 1) != (b->p[i / Dbits] >> (i & Dbits - 1) & 1))
return 0;
c >>= 1;
}
for(; i < a->n; i++)
if(a->b[i] != 1)
return 0;
return 1;
}
}
void
mptarget(mpint *r)
{
int n;
n = nrand(16);
mpbits(r, n * Dbits);
r->top = n;
prng((void *) r->p, n * Dbytes);
r->sign = 1 - 2 * (rand() & 1);
}
void
ldadd(ldint *a, ldint *b, ldint *q)
{
int r, i, c;
r = max(a->n, b->n) + 1;
ldbits(q, r);
c = 0;
for(i = 0; i < r; i++){
c += ldget(a, i) + ldget(b, i);
q->b[i] = c & 1;
c >>= 1;
}
ldnorm(q);
}
void
ldmagadd(ldint *a, ldint *b, ldint *q)
{
int i, r, s1, s2, c1, c2, co;
r = max(a->n, b->n) + 2;
ldbits(q, r);
co = 0;
s1 = c1 = a->b[a->n - 1] & 1;
s2 = c2 = b->b[b->n - 1] & 1;
for(i = 0; i < r; i++){
c1 += s1 ^ ldget(a, i) & 1;
c2 += s2 ^ ldget(b, i) & 1;
co += (c1 & 1) + (c2 & 1);
q->b[i] = co & 1;
co >>= 1;
c1 >>= 1;
c2 >>= 1;
}
ldnorm(q);
}
void
ldmagsub(ldint *a, ldint *b, ldint *q)
{
int i, r, s1, s2, c1, c2, co;
r = max(a->n, b->n) + 2;
ldbits(q, r);
co = 0;
s1 = c1 = a->b[a->n - 1] & 1;
s2 = c2 = 1 ^ b->b[b->n - 1] & 1;
for(i = 0; i < r; i++){
c1 += s1 ^ ldget(a, i) & 1;
c2 += s2 ^ ldget(b, i) & 1;
co += (c1 & 1) + (c2 & 1);
q->b[i] = co & 1;
co >>= 1;
c1 >>= 1;
c2 >>= 1;
}
ldnorm(q);
}
void
ldsub(ldint *a, ldint *b, ldint *q)
{
int r, i, c;
r = max(a->n, b->n) + 1;
ldbits(q, r);
c = 1;
for(i = 0; i < r; i++){
c += ldget(a, i) + (1^ldget(b, i));
q->b[i] = c & 1;
c >>= 1;
}
ldnorm(q);
}
void
ldmul(ldint *a, ldint *b, ldint *q)
{
int c1, c2, co, s1, s2, so, i, j;
c1 = s1 = a->b[a->n - 1] & 1;
s2 = b->b[b->n - 1] & 1;
so = s1 ^ s2;
ldbits(q, a->n + b->n + 1);
memset(q->b, 0, a->n + b->n + 1);
for(i = 0; i < a->n; i++){
c1 += s1 ^ a->b[i] & 1;
if((c1 & 1) != 0){
c2 = s2;
for(j = 0; j < b->n; j++){
c2 += (s2 ^ b->b[j] & 1) + q->b[i + j];
q->b[i + j] = c2 & 1;
c2 >>= 1;
}
for(; c2 > 0; j++){
assert(i + j < q->n);
q->b[i + j] = c2 & 1;
c2 >>= 1;
}
}
c1 >>= 1;
}
co = so;
for(i = 0; i < q->n; i++){
co += so ^ q->b[i];
q->b[i] = co & 1;
co >>= 1;
}
}
void
lddiv(ldint *a, ldint *b, ldint *q, ldint *r)
{
int n, i, j, c, s;
n = max(a->n, b->n) + 1;
ldbits(q, n);
ldbits(r, n);
memset(r->b, 0, n);
c = s = a->b[a->n-1];
for(i = 0; i < n; i++){
c += s ^ ldget(a, i);
q->b[i] = c & 1;
c >>= 1;
}
for(i = 0; i < n; i++){
for(j = n-1; --j >= 0; )
r->b[j + 1] = r->b[j];
r->b[0] = q->b[n - 1];
for(j = n-1; --j >= 0; )
q->b[j + 1] = q->b[j];
q->b[0] = !r->b[n - 1];
c = s = r->b[n - 1] == b->b[b->n - 1];
for(j = 0; j < n; j++){
c += r->b[j] + (s ^ ldget(b, j));
r->b[j] = c & 1;
c >>= 1;
}
}
for(j = n-1; --j >= 0; )
q->b[j + 1] = q->b[j];
q->b[0] = 1;
if(r->b[r->n - 1]){
c = 0;
for(j = 0; j < n; j++){
c += 1 + q->b[j];
q->b[j] = c & 1;
c >>= 1;
}
c = s = b->b[b->n - 1];
for(j = 0; j < n; j++){
c += r->b[j] + (s ^ ldget(b, j));
r->b[j] = c & 1;
c >>= 1;
}
}
c = s = a->b[a->n-1] ^ b->b[b->n-1];
for(j = 0; j < n; j++){
c += s ^ q->b[j];
q->b[j] = c & 1;
c >>= 1;
}
c = s = a->b[a->n-1];
for(j = 0; j < n; j++){
c += s ^ r->b[j];
r->b[j] = c & 1;
c >>= 1;
}
ldnorm(q);
ldnorm(r);
}
void
lddiv_(ldint *a, ldint *b, ldint *q, ldint *r)
{
if(ldmpeq(b, mpzero)){
memset(q->b, 0, q->n);
memset(r->b, 0, r->n);
return;
}
lddiv(a, b, q, r);
}
void
mpdiv_(mpint *a, mpint *b, mpint *q, mpint *r)
{
if(mpcmp(b, mpzero) == 0){
mpassign(mpzero, q);
mpassign(mpzero, r);
return;
}
mpdiv(a, b, q, r);
}
void
ldand(ldint *a, ldint *b, ldint *q)
{
int r, i;
r = max(a->n, b->n);
ldbits(q, r);
for(i = 0; i < r; i++)
q->b[i] = ldget(a, i) & ldget(b, i);
ldnorm(q);
}
void
ldbic(ldint *a, ldint *b, ldint *q)
{
int r, i;
r = max(a->n, b->n);
ldbits(q, r);
for(i = 0; i < r; i++)
q->b[i] = ldget(a, i) & ~ldget(b, i);
ldnorm(q);
}
void
ldor(ldint *a, ldint *b, ldint *q)
{
int r, i;
r = max(a->n, b->n);
ldbits(q, r);
for(i = 0; i < r; i++)
q->b[i] = ldget(a, i) | ldget(b, i);
ldnorm(q);
}
void
ldxor(ldint *a, ldint *b, ldint *q)
{
int r, i;
r = max(a->n, b->n);
ldbits(q, r);
for(i = 0; i < r; i++)
q->b[i] = ldget(a, i) ^ ldget(b, i);
ldnorm(q);
}
void
ldleft(ldint *a, int n, ldint *b)
{
int i, c;
if(n < 0){
if(a->n <= -n){
b->n = 0;
ldnorm(b);
return;
}
c = 0;
if(a->b[a->n - 1])
for(i = 0; i < -n; i++)
if(a->b[i]){
c = 1;
break;
}
ldbits(b, a->n + n);
for(i = 0; i < a->n + n; i++){
c += a->b[i - n] & 1;
b->b[i] = c & 1;
c >>= 1;
}
}else{
ldbits(b, a->n + n);
memmove(b->b + n, a->b, a->n);
memset(b->b, 0, n);
}
ldnorm(b);
}
void
ldright(ldint *a, int n, ldint *b)
{
ldleft(a, -n, b);
}
void
ldasr(ldint *a, int n, ldint *b)
{
if(n < 0){
ldleft(a, -n, b);
return;
}
if(a->n <= n){
ldbits(b, 1);
b->b[0] = a->b[a->n - 1];
return;
}
ldbits(b, a->n - n);
memmove(b->b, a->b + n, a->n - n);
ldnorm(b);
}
void
ldtrunc(ldint *a, int n, ldint *b)
{
ldbits(b, n+1);
b->b[n] = 0;
if(a->n >= n)
memmove(b->b, a->b, n);
else{
memmove(b->b, a->b, a->n);
memset(b->b + a->n, a->b[a->n - 1], n - a->n);
}
ldnorm(b);
}
void
ldxtend(ldint *a, int n, ldint *b)
{
ldbits(b, n);
if(a->n >= n)
memmove(b->b, a->b, n);
else{
memmove(b->b, a->b, a->n);
memset(b->b + a->n, a->b[a->n - 1], n - a->n);
}
ldnorm(b);
}
void
ldnot(ldint *a, ldint *b)
{
int i;
ldbits(b, a->n);
for(i = 0; i < a->n; i++)
b->b[i] = a->b[i] ^ 1;
}
u32int xorshift(u32int *state)
{
u32int x = *state;
x ^= x << 13;
x ^= x >> 17;
x ^= x << 5;
*state = x;
return x;
}
void
testgen(int i, ldint *a)
{
u32int state;
u32int r;
int j;
if(i < 257)
itold(i-128, a);
else if(i < 514)
pow2told(i-385, a);
else{
state = i;
xorshift(&state);
xorshift(&state);
xorshift(&state);
ldbits(a, Dbits * (1 + (xorshift(&state) & 15)));
SET(r);
for(j = 0; j < a->n; j++){
if((j & 31) == 0)
r = xorshift(&state);
a->b[j] = r & 1;
r >>= 1;
}
}
}

52
sys/src/libmp/test/main.c Normal file
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#include <u.h>
#include <libc.h>
#include <mp.h>
#include "dat.h"
#include "fns.h"
static int
mpdetfmt(Fmt *f)
{
mpint *a;
int i, j;
a = va_arg(f->args, mpint *);
fmtprint(f, "(sign=%d,top=%d,size=%d,", a->sign, a->top, a->size);
for(i=0;i<a->top;){
fmtprint(f, "%ullx", (uvlong)a->p[i]);
if(++i == a->top) break;
fmtrune(f, ',');
for(j = i+1; j < a->top; j++)
if(a->p[i] != a->p[j])
goto next;
fmtprint(f, "...");
break;
next:;
}
fmtrune(f, '|');
for(i=a->top;i<a->size;){
fmtprint(f, "%ullx", (uvlong)a->p[i]);
if(++i == a->size) break;
fmtrune(f, ',');
for(j = i+1; j < a->top; j++)
if(a->p[i] != a->p[j])
goto next2;
fmtprint(f, "...");
break;
next2:;
}
fmtrune(f, ')');
return 0;
}
void
main()
{
extern int ldfmt(Fmt *);
fmtinstall('B', mpfmt);
fmtinstall(L'β', mpdetfmt);
fmtinstall('L', ldfmt);
tests();
}

16
sys/src/libmp/test/mkfile Normal file
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</$objtype/mkfile
TARG=test
OFILES=\
main.$O\
ld.$O\
gen.tab.$O\
HFILES=dat.h fns.h
CLEANFILES=gen.tab.c
</sys/src/cmd/mkone
gen.tab.c:D: testgen.rc
rc testgen.rc >gen.tab.c

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#!/bin/rc
echo '
cmp in in retsign
magcmp in in retsign
add in in out
sub in in out
magadd in in out
magsub in in out
and in in out
bic in in out
or in in out
xor in in out
not in out
left in int out
right in int out
asr in int out
div_ in in out out
' | sed 's/#.*//g' | awk '
BEGIN {
print "#include <u.h>"
print "#include <libc.h>"
print "#include <mp.h>"
print "#include \"dat.h\""
print "#include \"fns.h\""
}
function initio()
{
for(j=2;j<=NF;j++){
if($j == "in")
printf "ldtomp(l%d, m%d);\n", j, j
if($j == "out")
printf "mptarget(m%d);\n", j
}
}
function fail0()
{
printf "fprint(2, \"FAIL: mp%s(", $1
first = 1
for(j=2;j<=NF;j++){
if(!first) printf ", "
first = 0
if($j == "in")
printf "%%L"
if($j == "int")
printf "%%d"
if($j == "out")
printf "out"
}
printf "): "
if(test) printf "%s: ", test
}
function fail1()
{
for(j=2;j<=NF;j++){
if($j == "in")
printf ", l%d", j
if($j == "int")
printf ", i%d", j
}
}
function testarg(ref,i,t)
{
if(t == "in"){
printf "if(!ldmpeq(l%d, m%d)){\n", ref, i
fail0()
printf "arg %d: input corrupted\\n\"", ref - 1
fail1()
printf ");\n"
printf "fail=1;\n}\n"
}
if(t == "out"){
printf "if(m%d->top == 0 && m%d->sign < 0){\n", i, i
fail0()
printf "arg %d: got -0, shouldn''t happen\\n\"", ref - 1
fail1()
printf ");\n"
print "fail=1;"
printf "}else if(m%d->top != 0 && m%d->p[m%d->top - 1] == 0){\n", i, i, i
fail0()
printf "arg %d: got denormalised result\\n\"", ref - 1
fail1()
printf ");\n"
print "fail=1;"
printf "}else if(!ldmpeq(l%d, m%d)){\n", ref, i
fail0()
printf "arg %d: got %%#B, expected %%L\\n\"", ref - 1
fail1()
printf ", m%d, l%d);\n", i, ref
printf "fail=1;\n"
printf "}\n"
}
}
NF > 0 && !($NF ~ /^ret/) {
printf "void ld%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "ldint *"
if($i == "int")
printf "int"
if(i<NF) printf ", "
}
printf ");\n"
printf "void\ntest%s(void)\n{\n", $1
print "int fail=0;"
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out"){
printf "ldint *l%d = ldnew(0);\n", i
printf "mpint *m%d = mpnew(0);\n", i
}
if($i == "int" || $i == "in")
printf "int i%d;\n", i
}
for(i=2;i<=NF;i++){
if($i == "in"){
printf "for(i%d=0;i%d<NTEST;i%d++){\n", i, i, i
printf "testgen(i%d, l%d);\n", i, i
}
if($i == "int")
printf "for(i%d=-128;i%d<=128;i%d++){\n", i, i, i
}
test=""
printf "ld%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "l%d", i
if($i == "int")
printf "i%d", i
if(i<NF) printf ", "
}
printf ");\n"
initio()
printf "mp%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "m%d", i
if($i == "int")
printf "i%d", i
if(i<NF) printf ", "
}
printf ");\n"
for(i=2;i<=NF;i++)
testarg(i, i, $i)
for(i=2;i<=NF;i++){
if($i != "out") continue
for(k=2;k<=NF;k++){
if($k != "in") continue
test="alias "(i-1)" and "(k-1)
initio()
printf "mp%s(", $1
for(l=2;l<=NF;l++){
if(l == i){
printf "m%d", k
}else{
if($l == "in" || $l == "out")
printf "m%d", l
if($l == "int")
printf "i%d", l
}
if(l<NF) printf ", "
}
printf ");\n"
for(l=2;l<=NF;l++)
if(l != k && l != i)
testarg(l, l, $l)
testarg(i, k, "out")
}
}
for(i=2;i<=NF;i++)
if($i == "in" || $i == "int")
printf "}\n"
for(i=2;i<=NF;i++)
if($i == "in" || $i == "out"){
printf "ldfree(l%d);\nmpfree(m%d);\n", i, i
}
printf "if(!fail) fprint(2, \"mp%s: passed\\n\");\n", $1
printf "}\n"
tests[ntests++] = $1
next
}
NF > 0 {
sign=$NF=="retsign";
NF--
printf "int ld%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "ldint *"
if($i == "int")
printf "int"
if(i<NF) printf ", "
}
printf ");\n"
printf "void\ntest%s(void)\n{\n", $1
print "int fail=0;"
print "int a, b;"
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out"){
printf "ldint *l%d = ldnew(0);\n", i
printf "mpint *m%d = mpnew(0);\n", i
}
if($i == "int" || $i == "in")
printf "int i%d;\n", i
}
for(i=2;i<=NF;i++){
if($i == "in"){
printf "for(i%d=0;i%d<NTEST;i%d++){\n", i, i, i
printf "testgen(i%d, l%d);\n", i, i
}
if($i == "int")
printf "for(i%d=-128;i%d<=128;i%d++){\n", i, i, i
}
test=""
printf "a=ld%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "l%d", i
if($i == "int")
printf "i%d", i
if(i<NF) printf ", "
}
printf ");\n"
initio()
printf "b=mp%s(", $1
for(i=2;i<=NF;i++){
if($i == "in" || $i == "out")
printf "m%d", i
if($i == "int")
printf "i%d", i
if(i<NF) printf ", "
}
printf ");\n"
if(sign) printf "if(b<0) b=-1;\nif(b>0) b=1;\n"
printf "if(a != b){\n", ref, i
fail0()
printf "return value: got %%d, expected %%d\\n\""
fail1()
printf ", b, a);\n"
printf "fail=1;\n"
printf "}\n"
for(i=2;i<=NF;i++)
testarg(i, i, $i)
for(i=2;i<=NF;i++)
if($i == "in" || $i == "int")
printf "}\n"
for(i=2;i<=NF;i++)
if($i == "in" || $i == "out"){
printf "ldfree(l%d);\nmpfree(m%d);\n", i, i
}
printf "if(!fail) fprint(2, \"mp%s: passed\\n\");\n", $1
printf "}\n"
tests[ntests++] = $1
}
END {
printf "void\ntests()\n{\n"
for(i = 0; i < ntests; i++)
printf "test%s();\n", tests[i]
printf "}\n"
}
' | awk '
/^[ ]*}/ { ind = substr(ind, 2) }
{ printf "%s%s\n", ind, $0 }
/{ *$/ { ind = "\t" ind }
'