ABITestGen.py
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#!/usr/bin/env python
from __future__ import absolute_import, division, print_function
from pprint import pprint
import random, atexit, time
from random import randrange
import re
from Enumeration import *
from TypeGen import *
####
class TypePrinter(object):
def __init__(self, output, outputHeader=None,
outputTests=None, outputDriver=None,
headerName=None, info=None):
self.output = output
self.outputHeader = outputHeader
self.outputTests = outputTests
self.outputDriver = outputDriver
self.writeBody = outputHeader or outputTests or outputDriver
self.types = {}
self.testValues = {}
self.testReturnValues = {}
self.layoutTests = []
self.declarations = set()
if info:
for f in (self.output,self.outputHeader,self.outputTests,self.outputDriver):
if f:
print(info, file=f)
if self.writeBody:
print('#include <stdio.h>\n', file=self.output)
if self.outputTests:
print('#include <stdio.h>', file=self.outputTests)
print('#include <string.h>', file=self.outputTests)
print('#include <assert.h>\n', file=self.outputTests)
if headerName:
for f in (self.output,self.outputTests,self.outputDriver):
if f is not None:
print('#include "%s"\n'%(headerName,), file=f)
if self.outputDriver:
print('#include <stdio.h>', file=self.outputDriver)
print('#include <stdlib.h>\n', file=self.outputDriver)
print('int main(int argc, char **argv) {', file=self.outputDriver)
print(' int index = -1;', file=self.outputDriver)
print(' if (argc > 1) index = atoi(argv[1]);', file=self.outputDriver)
def finish(self):
if self.layoutTests:
print('int main(int argc, char **argv) {', file=self.output)
print(' int index = -1;', file=self.output)
print(' if (argc > 1) index = atoi(argv[1]);', file=self.output)
for i,f in self.layoutTests:
print(' if (index == -1 || index == %d)' % i, file=self.output)
print(' %s();' % f, file=self.output)
print(' return 0;', file=self.output)
print('}', file=self.output)
if self.outputDriver:
print(' printf("DONE\\n");', file=self.outputDriver)
print(' return 0;', file=self.outputDriver)
print('}', file=self.outputDriver)
def addDeclaration(self, decl):
if decl in self.declarations:
return False
self.declarations.add(decl)
if self.outputHeader:
print(decl, file=self.outputHeader)
else:
print(decl, file=self.output)
if self.outputTests:
print(decl, file=self.outputTests)
return True
def getTypeName(self, T):
name = self.types.get(T)
if name is None:
# Reserve slot
self.types[T] = None
self.types[T] = name = T.getTypeName(self)
return name
def writeLayoutTest(self, i, ty):
tyName = self.getTypeName(ty)
tyNameClean = tyName.replace(' ','_').replace('*','star')
fnName = 'test_%s' % tyNameClean
print('void %s(void) {' % fnName, file=self.output)
self.printSizeOfType(' %s'%fnName, tyName, ty, self.output)
self.printAlignOfType(' %s'%fnName, tyName, ty, self.output)
self.printOffsetsOfType(' %s'%fnName, tyName, ty, self.output)
print('}', file=self.output)
print(file=self.output)
self.layoutTests.append((i,fnName))
def writeFunction(self, i, FT):
args = ', '.join(['%s arg%d'%(self.getTypeName(t),i) for i,t in enumerate(FT.argTypes)])
if not args:
args = 'void'
if FT.returnType is None:
retvalName = None
retvalTypeName = 'void'
else:
retvalTypeName = self.getTypeName(FT.returnType)
if self.writeBody or self.outputTests:
retvalName = self.getTestReturnValue(FT.returnType)
fnName = 'fn%d'%(FT.index,)
if self.outputHeader:
print('%s %s(%s);'%(retvalTypeName, fnName, args), file=self.outputHeader)
elif self.outputTests:
print('%s %s(%s);'%(retvalTypeName, fnName, args), file=self.outputTests)
print('%s %s(%s)'%(retvalTypeName, fnName, args), end=' ', file=self.output)
if self.writeBody:
print('{', file=self.output)
for i,t in enumerate(FT.argTypes):
self.printValueOfType(' %s'%fnName, 'arg%d'%i, t)
if retvalName is not None:
print(' return %s;'%(retvalName,), file=self.output)
print('}', file=self.output)
else:
print('{}', file=self.output)
print(file=self.output)
if self.outputDriver:
print(' if (index == -1 || index == %d) {' % i, file=self.outputDriver)
print(' extern void test_%s(void);' % fnName, file=self.outputDriver)
print(' test_%s();' % fnName, file=self.outputDriver)
print(' }', file=self.outputDriver)
if self.outputTests:
if self.outputHeader:
print('void test_%s(void);'%(fnName,), file=self.outputHeader)
if retvalName is None:
retvalTests = None
else:
retvalTests = self.getTestValuesArray(FT.returnType)
tests = [self.getTestValuesArray(ty) for ty in FT.argTypes]
print('void test_%s(void) {'%(fnName,), file=self.outputTests)
if retvalTests is not None:
print(' printf("%s: testing return.\\n");'%(fnName,), file=self.outputTests)
print(' for (int i=0; i<%d; ++i) {'%(retvalTests[1],), file=self.outputTests)
args = ', '.join(['%s[%d]'%(t,randrange(l)) for t,l in tests])
print(' %s RV;'%(retvalTypeName,), file=self.outputTests)
print(' %s = %s[i];'%(retvalName, retvalTests[0]), file=self.outputTests)
print(' RV = %s(%s);'%(fnName, args), file=self.outputTests)
self.printValueOfType(' %s_RV'%fnName, 'RV', FT.returnType, output=self.outputTests, indent=4)
self.checkTypeValues('RV', '%s[i]' % retvalTests[0], FT.returnType, output=self.outputTests, indent=4)
print(' }', file=self.outputTests)
if tests:
print(' printf("%s: testing arguments.\\n");'%(fnName,), file=self.outputTests)
for i,(array,length) in enumerate(tests):
for j in range(length):
args = ['%s[%d]'%(t,randrange(l)) for t,l in tests]
args[i] = '%s[%d]'%(array,j)
print(' %s(%s);'%(fnName, ', '.join(args),), file=self.outputTests)
print('}', file=self.outputTests)
def getTestReturnValue(self, type):
typeName = self.getTypeName(type)
info = self.testReturnValues.get(typeName)
if info is None:
name = '%s_retval'%(typeName.replace(' ','_').replace('*','star'),)
print('%s %s;'%(typeName,name), file=self.output)
if self.outputHeader:
print('extern %s %s;'%(typeName,name), file=self.outputHeader)
elif self.outputTests:
print('extern %s %s;'%(typeName,name), file=self.outputTests)
info = self.testReturnValues[typeName] = name
return info
def getTestValuesArray(self, type):
typeName = self.getTypeName(type)
info = self.testValues.get(typeName)
if info is None:
name = '%s_values'%(typeName.replace(' ','_').replace('*','star'),)
print('static %s %s[] = {'%(typeName,name), file=self.outputTests)
length = 0
for item in self.getTestValues(type):
print('\t%s,'%(item,), file=self.outputTests)
length += 1
print('};', file=self.outputTests)
info = self.testValues[typeName] = (name,length)
return info
def getTestValues(self, t):
if isinstance(t, BuiltinType):
if t.name=='float':
for i in ['0.0','-1.0','1.0']:
yield i+'f'
elif t.name=='double':
for i in ['0.0','-1.0','1.0']:
yield i
elif t.name in ('void *'):
yield '(void*) 0'
yield '(void*) -1'
else:
yield '(%s) 0'%(t.name,)
yield '(%s) -1'%(t.name,)
yield '(%s) 1'%(t.name,)
elif isinstance(t, EnumType):
for i in range(0, len(t.enumerators)):
yield 'enum%dval%d_%d' % (t.index, i, t.unique_id)
elif isinstance(t, RecordType):
nonPadding = [f for f in t.fields
if not f.isPaddingBitField()]
if not nonPadding:
yield '{ }'
return
# FIXME: Use designated initializers to access non-first
# fields of unions.
if t.isUnion:
for v in self.getTestValues(nonPadding[0]):
yield '{ %s }' % v
return
fieldValues = [list(v) for v in map(self.getTestValues, nonPadding)]
for i,values in enumerate(fieldValues):
for v in values:
elements = [random.choice(fv) for fv in fieldValues]
elements[i] = v
yield '{ %s }'%(', '.join(elements))
elif isinstance(t, ComplexType):
for t in self.getTestValues(t.elementType):
yield '%s + %s * 1i'%(t,t)
elif isinstance(t, ArrayType):
values = list(self.getTestValues(t.elementType))
if not values:
yield '{ }'
for i in range(t.numElements):
for v in values:
elements = [random.choice(values) for i in range(t.numElements)]
elements[i] = v
yield '{ %s }'%(', '.join(elements))
else:
raise NotImplementedError('Cannot make tests values of type: "%s"'%(t,))
def printSizeOfType(self, prefix, name, t, output=None, indent=2):
print('%*sprintf("%s: sizeof(%s) = %%ld\\n", (long)sizeof(%s));'%(indent, '', prefix, name, name), file=output)
def printAlignOfType(self, prefix, name, t, output=None, indent=2):
print('%*sprintf("%s: __alignof__(%s) = %%ld\\n", (long)__alignof__(%s));'%(indent, '', prefix, name, name), file=output)
def printOffsetsOfType(self, prefix, name, t, output=None, indent=2):
if isinstance(t, RecordType):
for i,f in enumerate(t.fields):
if f.isBitField():
continue
fname = 'field%d' % i
print('%*sprintf("%s: __builtin_offsetof(%s, %s) = %%ld\\n", (long)__builtin_offsetof(%s, %s));'%(indent, '', prefix, name, fname, name, fname), file=output)
def printValueOfType(self, prefix, name, t, output=None, indent=2):
if output is None:
output = self.output
if isinstance(t, BuiltinType):
value_expr = name
if t.name.split(' ')[-1] == '_Bool':
# Hack to work around PR5579.
value_expr = "%s ? 2 : 0" % name
if t.name.endswith('long long'):
code = 'lld'
elif t.name.endswith('long'):
code = 'ld'
elif t.name.split(' ')[-1] in ('_Bool','char','short',
'int','unsigned'):
code = 'd'
elif t.name in ('float','double'):
code = 'f'
elif t.name == 'long double':
code = 'Lf'
else:
code = 'p'
print('%*sprintf("%s: %s = %%%s\\n", %s);'%(
indent, '', prefix, name, code, value_expr), file=output)
elif isinstance(t, EnumType):
print('%*sprintf("%s: %s = %%d\\n", %s);'%(indent, '', prefix, name, name), file=output)
elif isinstance(t, RecordType):
if not t.fields:
print('%*sprintf("%s: %s (empty)\\n");'%(indent, '', prefix, name), file=output)
for i,f in enumerate(t.fields):
if f.isPaddingBitField():
continue
fname = '%s.field%d'%(name,i)
self.printValueOfType(prefix, fname, f, output=output, indent=indent)
elif isinstance(t, ComplexType):
self.printValueOfType(prefix, '(__real %s)'%name, t.elementType, output=output,indent=indent)
self.printValueOfType(prefix, '(__imag %s)'%name, t.elementType, output=output,indent=indent)
elif isinstance(t, ArrayType):
for i in range(t.numElements):
# Access in this fashion as a hackish way to portably
# access vectors.
if t.isVector:
self.printValueOfType(prefix, '((%s*) &%s)[%d]'%(t.elementType,name,i), t.elementType, output=output,indent=indent)
else:
self.printValueOfType(prefix, '%s[%d]'%(name,i), t.elementType, output=output,indent=indent)
else:
raise NotImplementedError('Cannot print value of type: "%s"'%(t,))
def checkTypeValues(self, nameLHS, nameRHS, t, output=None, indent=2):
prefix = 'foo'
if output is None:
output = self.output
if isinstance(t, BuiltinType):
print('%*sassert(%s == %s);' % (indent, '', nameLHS, nameRHS), file=output)
elif isinstance(t, EnumType):
print('%*sassert(%s == %s);' % (indent, '', nameLHS, nameRHS), file=output)
elif isinstance(t, RecordType):
for i,f in enumerate(t.fields):
if f.isPaddingBitField():
continue
self.checkTypeValues('%s.field%d'%(nameLHS,i), '%s.field%d'%(nameRHS,i),
f, output=output, indent=indent)
if t.isUnion:
break
elif isinstance(t, ComplexType):
self.checkTypeValues('(__real %s)'%nameLHS, '(__real %s)'%nameRHS, t.elementType, output=output,indent=indent)
self.checkTypeValues('(__imag %s)'%nameLHS, '(__imag %s)'%nameRHS, t.elementType, output=output,indent=indent)
elif isinstance(t, ArrayType):
for i in range(t.numElements):
# Access in this fashion as a hackish way to portably
# access vectors.
if t.isVector:
self.checkTypeValues('((%s*) &%s)[%d]'%(t.elementType,nameLHS,i),
'((%s*) &%s)[%d]'%(t.elementType,nameRHS,i),
t.elementType, output=output,indent=indent)
else:
self.checkTypeValues('%s[%d]'%(nameLHS,i), '%s[%d]'%(nameRHS,i),
t.elementType, output=output,indent=indent)
else:
raise NotImplementedError('Cannot print value of type: "%s"'%(t,))
import sys
def main():
from optparse import OptionParser, OptionGroup
parser = OptionParser("%prog [options] {indices}")
parser.add_option("", "--mode", dest="mode",
help="autogeneration mode (random or linear) [default %default]",
type='choice', choices=('random','linear'), default='linear')
parser.add_option("", "--count", dest="count",
help="autogenerate COUNT functions according to MODE",
type=int, default=0)
parser.add_option("", "--min", dest="minIndex", metavar="N",
help="start autogeneration with the Nth function type [default %default]",
type=int, default=0)
parser.add_option("", "--max", dest="maxIndex", metavar="N",
help="maximum index for random autogeneration [default %default]",
type=int, default=10000000)
parser.add_option("", "--seed", dest="seed",
help="random number generator seed [default %default]",
type=int, default=1)
parser.add_option("", "--use-random-seed", dest="useRandomSeed",
help="use random value for initial random number generator seed",
action='store_true', default=False)
parser.add_option("", "--skip", dest="skipTests",
help="add a test index to skip",
type=int, action='append', default=[])
parser.add_option("-o", "--output", dest="output", metavar="FILE",
help="write output to FILE [default %default]",
type=str, default='-')
parser.add_option("-O", "--output-header", dest="outputHeader", metavar="FILE",
help="write header file for output to FILE [default %default]",
type=str, default=None)
parser.add_option("-T", "--output-tests", dest="outputTests", metavar="FILE",
help="write function tests to FILE [default %default]",
type=str, default=None)
parser.add_option("-D", "--output-driver", dest="outputDriver", metavar="FILE",
help="write test driver to FILE [default %default]",
type=str, default=None)
parser.add_option("", "--test-layout", dest="testLayout", metavar="FILE",
help="test structure layout",
action='store_true', default=False)
group = OptionGroup(parser, "Type Enumeration Options")
# Builtins - Ints
group.add_option("", "--no-char", dest="useChar",
help="do not generate char types",
action="store_false", default=True)
group.add_option("", "--no-short", dest="useShort",
help="do not generate short types",
action="store_false", default=True)
group.add_option("", "--no-int", dest="useInt",
help="do not generate int types",
action="store_false", default=True)
group.add_option("", "--no-long", dest="useLong",
help="do not generate long types",
action="store_false", default=True)
group.add_option("", "--no-long-long", dest="useLongLong",
help="do not generate long long types",
action="store_false", default=True)
group.add_option("", "--no-unsigned", dest="useUnsigned",
help="do not generate unsigned integer types",
action="store_false", default=True)
# Other builtins
group.add_option("", "--no-bool", dest="useBool",
help="do not generate bool types",
action="store_false", default=True)
group.add_option("", "--no-float", dest="useFloat",
help="do not generate float types",
action="store_false", default=True)
group.add_option("", "--no-double", dest="useDouble",
help="do not generate double types",
action="store_false", default=True)
group.add_option("", "--no-long-double", dest="useLongDouble",
help="do not generate long double types",
action="store_false", default=True)
group.add_option("", "--no-void-pointer", dest="useVoidPointer",
help="do not generate void* types",
action="store_false", default=True)
# Enumerations
group.add_option("", "--no-enums", dest="useEnum",
help="do not generate enum types",
action="store_false", default=True)
# Derived types
group.add_option("", "--no-array", dest="useArray",
help="do not generate record types",
action="store_false", default=True)
group.add_option("", "--no-complex", dest="useComplex",
help="do not generate complex types",
action="store_false", default=True)
group.add_option("", "--no-record", dest="useRecord",
help="do not generate record types",
action="store_false", default=True)
group.add_option("", "--no-union", dest="recordUseUnion",
help="do not generate union types",
action="store_false", default=True)
group.add_option("", "--no-vector", dest="useVector",
help="do not generate vector types",
action="store_false", default=True)
group.add_option("", "--no-bit-field", dest="useBitField",
help="do not generate bit-field record members",
action="store_false", default=True)
group.add_option("", "--no-builtins", dest="useBuiltins",
help="do not use any types",
action="store_false", default=True)
# Tuning
group.add_option("", "--no-function-return", dest="functionUseReturn",
help="do not generate return types for functions",
action="store_false", default=True)
group.add_option("", "--vector-types", dest="vectorTypes",
help="comma separated list of vector types (e.g., v2i32) [default %default]",
action="store", type=str, default='v2i16, v1i64, v2i32, v4i16, v8i8, v2f32, v2i64, v4i32, v8i16, v16i8, v2f64, v4f32, v16f32', metavar="N")
group.add_option("", "--bit-fields", dest="bitFields",
help="comma separated list 'type:width' bit-field specifiers [default %default]",
action="store", type=str, default=(
"char:0,char:4,int:0,unsigned:1,int:1,int:4,int:13,int:24"))
group.add_option("", "--max-args", dest="functionMaxArgs",
help="maximum number of arguments per function [default %default]",
action="store", type=int, default=4, metavar="N")
group.add_option("", "--max-array", dest="arrayMaxSize",
help="maximum array size [default %default]",
action="store", type=int, default=4, metavar="N")
group.add_option("", "--max-record", dest="recordMaxSize",
help="maximum number of fields per record [default %default]",
action="store", type=int, default=4, metavar="N")
group.add_option("", "--max-record-depth", dest="recordMaxDepth",
help="maximum nested structure depth [default %default]",
action="store", type=int, default=None, metavar="N")
parser.add_option_group(group)
(opts, args) = parser.parse_args()
if not opts.useRandomSeed:
random.seed(opts.seed)
# Construct type generator
builtins = []
if opts.useBuiltins:
ints = []
if opts.useChar: ints.append(('char',1))
if opts.useShort: ints.append(('short',2))
if opts.useInt: ints.append(('int',4))
# FIXME: Wrong size.
if opts.useLong: ints.append(('long',4))
if opts.useLongLong: ints.append(('long long',8))
if opts.useUnsigned:
ints = ([('unsigned %s'%i,s) for i,s in ints] +
[('signed %s'%i,s) for i,s in ints])
builtins.extend(ints)
if opts.useBool: builtins.append(('_Bool',1))
if opts.useFloat: builtins.append(('float',4))
if opts.useDouble: builtins.append(('double',8))
if opts.useLongDouble: builtins.append(('long double',16))
# FIXME: Wrong size.
if opts.useVoidPointer: builtins.append(('void*',4))
btg = FixedTypeGenerator([BuiltinType(n,s) for n,s in builtins])
bitfields = []
for specifier in opts.bitFields.split(','):
if not specifier.strip():
continue
name,width = specifier.strip().split(':', 1)
bitfields.append(BuiltinType(name,None,int(width)))
bftg = FixedTypeGenerator(bitfields)
charType = BuiltinType('char',1)
shortType = BuiltinType('short',2)
intType = BuiltinType('int',4)
longlongType = BuiltinType('long long',8)
floatType = BuiltinType('float',4)
doubleType = BuiltinType('double',8)
sbtg = FixedTypeGenerator([charType, intType, floatType, doubleType])
atg = AnyTypeGenerator()
artg = AnyTypeGenerator()
def makeGenerator(atg, subgen, subfieldgen, useRecord, useArray, useBitField):
atg.addGenerator(btg)
if useBitField and opts.useBitField:
atg.addGenerator(bftg)
if useRecord and opts.useRecord:
assert subgen
atg.addGenerator(RecordTypeGenerator(subfieldgen, opts.recordUseUnion,
opts.recordMaxSize))
if opts.useComplex:
# FIXME: Allow overriding builtins here
atg.addGenerator(ComplexTypeGenerator(sbtg))
if useArray and opts.useArray:
assert subgen
atg.addGenerator(ArrayTypeGenerator(subgen, opts.arrayMaxSize))
if opts.useVector:
vTypes = []
for i,t in enumerate(opts.vectorTypes.split(',')):
m = re.match('v([1-9][0-9]*)([if][1-9][0-9]*)', t.strip())
if not m:
parser.error('Invalid vector type: %r' % t)
count,kind = m.groups()
count = int(count)
type = { 'i8' : charType,
'i16' : shortType,
'i32' : intType,
'i64' : longlongType,
'f32' : floatType,
'f64' : doubleType,
}.get(kind)
if not type:
parser.error('Invalid vector type: %r' % t)
vTypes.append(ArrayType(i, True, type, count * type.size))
atg.addGenerator(FixedTypeGenerator(vTypes))
if opts.useEnum:
atg.addGenerator(EnumTypeGenerator([None, '-1', '1', '1u'], 1, 4))
if opts.recordMaxDepth is None:
# Fully recursive, just avoid top-level arrays.
subFTG = AnyTypeGenerator()
subTG = AnyTypeGenerator()
atg = AnyTypeGenerator()
makeGenerator(subFTG, atg, atg, True, True, True)
makeGenerator(subTG, atg, subFTG, True, True, False)
makeGenerator(atg, subTG, subFTG, True, False, False)
else:
# Make a chain of type generators, each builds smaller
# structures.
base = AnyTypeGenerator()
fbase = AnyTypeGenerator()
makeGenerator(base, None, None, False, False, False)
makeGenerator(fbase, None, None, False, False, True)
for i in range(opts.recordMaxDepth):
n = AnyTypeGenerator()
fn = AnyTypeGenerator()
makeGenerator(n, base, fbase, True, True, False)
makeGenerator(fn, base, fbase, True, True, True)
base = n
fbase = fn
atg = AnyTypeGenerator()
makeGenerator(atg, base, fbase, True, False, False)
if opts.testLayout:
ftg = atg
else:
ftg = FunctionTypeGenerator(atg, opts.functionUseReturn, opts.functionMaxArgs)
# Override max,min,count if finite
if opts.maxIndex is None:
if ftg.cardinality is aleph0:
opts.maxIndex = 10000000
else:
opts.maxIndex = ftg.cardinality
opts.maxIndex = min(opts.maxIndex, ftg.cardinality)
opts.minIndex = max(0,min(opts.maxIndex-1, opts.minIndex))
if not opts.mode=='random':
opts.count = min(opts.count, opts.maxIndex-opts.minIndex)
if opts.output=='-':
output = sys.stdout
else:
output = open(opts.output,'w')
atexit.register(lambda: output.close())
outputHeader = None
if opts.outputHeader:
outputHeader = open(opts.outputHeader,'w')
atexit.register(lambda: outputHeader.close())
outputTests = None
if opts.outputTests:
outputTests = open(opts.outputTests,'w')
atexit.register(lambda: outputTests.close())
outputDriver = None
if opts.outputDriver:
outputDriver = open(opts.outputDriver,'w')
atexit.register(lambda: outputDriver.close())
info = ''
info += '// %s\n'%(' '.join(sys.argv),)
info += '// Generated: %s\n'%(time.strftime('%Y-%m-%d %H:%M'),)
info += '// Cardinality of function generator: %s\n'%(ftg.cardinality,)
info += '// Cardinality of type generator: %s\n'%(atg.cardinality,)
if opts.testLayout:
info += '\n#include <stdio.h>'
P = TypePrinter(output,
outputHeader=outputHeader,
outputTests=outputTests,
outputDriver=outputDriver,
headerName=opts.outputHeader,
info=info)
def write(N):
try:
FT = ftg.get(N)
except RuntimeError as e:
if e.args[0]=='maximum recursion depth exceeded':
print('WARNING: Skipped %d, recursion limit exceeded (bad arguments?)'%(N,), file=sys.stderr)
return
raise
if opts.testLayout:
P.writeLayoutTest(N, FT)
else:
P.writeFunction(N, FT)
if args:
[write(int(a)) for a in args]
skipTests = set(opts.skipTests)
for i in range(opts.count):
if opts.mode=='linear':
index = opts.minIndex + i
else:
index = opts.minIndex + int((opts.maxIndex-opts.minIndex) * random.random())
if index in skipTests:
continue
write(index)
P.finish()
if __name__=='__main__':
main()