path: root/src/pkg/crypto/x509/verify_test.go

// Copyright 2011 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package x509

import (
	"encoding/pem"
	"os"
	"strings"
	"testing"
)

type verifyTest struct {
	leaf          string
	intermediates []string
	roots         []string
	currentTime   int64
	dnsName       string

	errorCallback  func(*testing.T, int, os.Error) bool
	expectedChains [][]string
}

var verifyTests = []verifyTest{
	{
		leaf:          googleLeaf,
		intermediates: []string{thawteIntermediate},
		roots:         []string{verisignRoot},
		currentTime:   1302726541,
		dnsName:       "www.google.com",

		expectedChains: [][]string{
			[]string{"Google", "Thawte", "VeriSign"},
		},
	},
	{
		leaf:          googleLeaf,
		intermediates: []string{thawteIntermediate},
		roots:         []string{verisignRoot},
		currentTime:   1302726541,
		dnsName:       "www.example.com",

		errorCallback: expectHostnameError,
	},
	{
		leaf:          googleLeaf,
		intermediates: []string{thawteIntermediate},
		roots:         []string{verisignRoot},
		currentTime:   1,
		dnsName:       "www.example.com",

		errorCallback: expectExpired,
	},
	{
		leaf:        googleLeaf,
		roots:       []string{verisignRoot},
		currentTime: 1302726541,
		dnsName:     "www.google.com",

		errorCallback: expectAuthorityUnknown,
	},
	{
		leaf:          googleLeaf,
		intermediates: []string{verisignRoot, thawteIntermediate},
		roots:         []string{verisignRoot},
		currentTime:   1302726541,
		dnsName:       "www.google.com",

		expectedChains: [][]string{
			[]string{"Google", "Thawte", "VeriSign"},
		},
	},
	{
		leaf:          googleLeaf,
		intermediates: []string{verisignRoot, thawteIntermediate},
		roots:         []string{verisignRoot},
		currentTime:   1302726541,

		expectedChains: [][]string{
			[]string{"Google", "Thawte", "VeriSign"},
		},
	},
	{
		leaf:          dnssecExpLeaf,
		intermediates: []string{startComIntermediate},
		roots:         []string{startComRoot},
		currentTime:   1302726541,

		expectedChains: [][]string{
			[]string{"dnssec-exp", "StartCom Class 1", "StartCom Certification Authority"},
		},
	},
}

func expectHostnameError(t *testing.T, i int, err os.Error) (ok bool) {
	if _, ok := err.(HostnameError); !ok {
		t.Errorf("#%d: error was not a HostnameError: %s", i, err)
		return false
	}
	return true
}

func expectExpired(t *testing.T, i int, err os.Error) (ok bool) {
	if inval, ok := err.(CertificateInvalidError); !ok || inval.Reason != Expired {
		t.Errorf("#%d: error was not Expired: %s", i, err)
		return false
	}
	return true
}

func expectAuthorityUnknown(t *testing.T, i int, err os.Error) (ok bool) {
	if _, ok := err.(UnknownAuthorityError); !ok {
		t.Errorf("#%d: error was not UnknownAuthorityError: %s", i, err)
		return false
	}
	return true
}

func certificateFromPEM(pemBytes string) (*Certificate, os.Error) {
	block, _ := pem.Decode([]byte(pemBytes))
	if block == nil {
		return nil, os.NewError("failed to decode PEM")
	}
	return ParseCertificate(block.Bytes)
}

func TestVerify(t *testing.T) {
	for i, test := range verifyTests {
		opts := VerifyOptions{
			Roots:         NewCertPool(),
			Intermediates: NewCertPool(),
			DNSName:       test.dnsName,
			CurrentTime:   test.currentTime,
		}

		for j, root := range test.roots {
			ok := opts.Roots.AppendCertsFromPEM([]byte(root))
			if !ok {
				t.Errorf("#%d: failed to parse root #%d", i, j)
				return
			}
		}

		for j, intermediate := range test.intermediates {
			ok := opts.Intermediates.AppendCertsFromPEM([]byte(intermediate))
			if !ok {
				t.Errorf("#%d: failed to parse intermediate #%d", i, j)
				return
			}
		}

		leaf, err := certificateFromPEM(test.leaf)
		if err != nil {
			t.Errorf("#%d: failed to parse leaf: %s", i, err)
			return
		}

		chains, err := leaf.Verify(opts)

		if test.errorCallback == nil && err != nil {
			t.Errorf("#%d: unexpected error: %s", i, err)
		}
		if test.errorCallback != nil {
			if !test.errorCallback(t, i, err) {
				return
			}
		}

		if len(chains) != len(test.expectedChains) {
			t.Errorf("#%d: wanted %d chains, got %d", i, len(test.expectedChains), len(chains))
		}

		// We check that each returned chain matches a chain from
		// expectedChains but an entry in expectedChains can't match
		// two chains.
		seenChains := make([]bool, len(chains))
	NextOutputChain:
		for _, chain := range chains {
		TryNextExpected:
			for j, expectedChain := range test.expectedChains {
				if seenChains[j] {
					continue
				}
				if len(chain) != len(expectedChain) {
					continue
				}
				for k, cert := range chain {
					if strings.Index(nameToKey(&cert.Subject), expectedChain[k]) == -1 {
						continue TryNextExpected
					}
				}
				// we matched
				seenChains[j] = true
				continue NextOutputChain
			}
			t.Errorf("#%d: No expected chain matched %s", i, chainToDebugString(chain))
		}
	}
}

func chainToDebugString(chain []*Certificate) string {
	var chainStr string
	for _, cert := range chain {
		if len(chainStr) > 0 {
			chainStr += " -> "
		}
		chainStr += nameToKey(&cert.Subject)
	}
	return chainStr
}

const verisignRoot = `-----BEGIN CERTIFICATE-----
MIICPDCCAaUCEHC65B0Q2Sk0tjjKewPMur8wDQYJKoZIhvcNAQECBQAwXzELMAkG
A1UEBhMCVVMxFzAVBgNVBAoTDlZlcmlTaWduLCBJbmMuMTcwNQYDVQQLEy5DbGFz
cyAzIFB1YmxpYyBQcmltYXJ5IENlcnRpZmljYXRpb24gQXV0aG9yaXR5MB4XDTk2
MDEyOTAwMDAwMFoXDTI4MDgwMTIzNTk1OVowXzELMAkGA1UEBhMCVVMxFzAVBgNV
BAoTDlZlcmlTaWduLCBJbmMuMTcwNQYDVQQLEy5DbGFzcyAzIFB1YmxpYyBQcmlt
YXJ5IENlcnRpZmljYXRpb24gQXV0aG9yaXR5MIGfMA0GCSqGSIb3DQEBAQUAA4GN
ADCBiQKBgQDJXFme8huKARS0EN8EQNvjV69qRUCPhAwL0TPZ2RHP7gJYHyX3KqhE
BarsAx94f56TuZoAqiN91qyFomNFx3InzPRMxnVx0jnvT0Lwdd8KkMaOIG+YD/is
I19wKTakyYbnsZogy1Olhec9vn2a/iRFM9x2Fe0PonFkTGUugWhFpwIDAQABMA0G
CSqGSIb3DQEBAgUAA4GBALtMEivPLCYATxQT3ab7/AoRhIzzKBxnki98tsX63/Do
lbwdj2wsqFHMc9ikwFPwTtYmwHYBV4GSXiHx0bH/59AhWM1pF+NEHJwZRDmJXNyc
AA9WjQKZ7aKQRUzkuxCkPfAyAw7xzvjoyVGM5mKf5p/AfbdynMk2OmufTqj/ZA1k
-----END CERTIFICATE-----
`

const thawteIntermediate = `-----BEGIN CERTIFICATE-----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-----END CERTIFICATE-----
`

const googleLeaf = `-----BEGIN CERTIFICATE-----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-----END CERTIFICATE-----`

const dnssecExpLeaf = `-----BEGIN CERTIFICATE-----
MIIGzTCCBbWgAwIBAgIDAdD6MA0GCSqGSIb3DQEBBQUAMIGMMQswCQYDVQQGEwJJ
TDEWMBQGA1UEChMNU3RhcnRDb20gTHRkLjErMCkGA1UECxMiU2VjdXJlIERpZ2l0
YWwgQ2VydGlmaWNhdGUgU2lnbmluZzE4MDYGA1UEAxMvU3RhcnRDb20gQ2xhc3Mg
MSBQcmltYXJ5IEludGVybWVkaWF0ZSBTZXJ2ZXIgQ0EwHhcNMTAwNzA0MTQ1MjQ1
WhcNMTEwNzA1MTA1NzA0WjCBwTEgMB4GA1UEDRMXMjIxMTM3LWxpOWE5dHhJRzZM
NnNyVFMxCzAJBgNVBAYTAlVTMR4wHAYDVQQKExVQZXJzb25hIE5vdCBWYWxpZGF0
ZWQxKTAnBgNVBAsTIFN0YXJ0Q29tIEZyZWUgQ2VydGlmaWNhdGUgTWVtYmVyMRsw
GQYDVQQDExJ3d3cuZG5zc2VjLWV4cC5vcmcxKDAmBgkqhkiG9w0BCQEWGWhvc3Rt
YXN0ZXJAZG5zc2VjLWV4cC5vcmcwggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEK
AoIBAQDEdF/22vaxrPbqpgVYMWi+alfpzBctpbfLBdPGuqOazJdCT0NbWcK8/+B4
X6OlSOURNIlwLzhkmwVsWdVv6dVSaN7d4yI/fJkvgfDB9+au+iBJb6Pcz8ULBfe6
D8HVvqKdORp6INzHz71z0sghxrQ0EAEkoWAZLh+kcn2ZHdcmZaBNUfjmGbyU6PRt
RjdqoP+owIaC1aktBN7zl4uO7cRjlYFdusINrh2kPP02KAx2W84xjxX1uyj6oS6e
7eBfvcwe8czW/N1rbE0CoR7h9+HnIrjnVG9RhBiZEiw3mUmF++Up26+4KTdRKbu3
+BL4yMpfd66z0+zzqu+HkvyLpFn5AgMBAAGjggL/MIIC+zAJBgNVHRMEAjAAMAsG
A1UdDwQEAwIDqDATBgNVHSUEDDAKBggrBgEFBQcDATAdBgNVHQ4EFgQUy04I5guM
drzfh2JQaXhgV86+4jUwHwYDVR0jBBgwFoAU60I00Jiwq5/0G2sI98xkLu8OLEUw
LQYDVR0RBCYwJIISd3d3LmRuc3NlYy1leHAub3Jngg5kbnNzZWMtZXhwLm9yZzCC
AUIGA1UdIASCATkwggE1MIIBMQYLKwYBBAGBtTcBAgIwggEgMC4GCCsGAQUFBwIB
FiJodHRwOi8vd3d3LnN0YXJ0c3NsLmNvbS9wb2xpY3kucGRmMDQGCCsGAQUFBwIB
FihodHRwOi8vd3d3LnN0YXJ0c3NsLmNvbS9pbnRlcm1lZGlhdGUucGRmMIG3Bggr
BgEFBQcCAjCBqjAUFg1TdGFydENvbSBMdGQuMAMCAQEagZFMaW1pdGVkIExpYWJp
bGl0eSwgc2VlIHNlY3Rpb24gKkxlZ2FsIExpbWl0YXRpb25zKiBvZiB0aGUgU3Rh
cnRDb20gQ2VydGlmaWNhdGlvbiBBdXRob3JpdHkgUG9saWN5IGF2YWlsYWJsZSBh
dCBodHRwOi8vd3d3LnN0YXJ0c3NsLmNvbS9wb2xpY3kucGRmMGEGA1UdHwRaMFgw
KqAooCaGJGh0dHA6Ly93d3cuc3RhcnRzc2wuY29tL2NydDEtY3JsLmNybDAqoCig
JoYkaHR0cDovL2NybC5zdGFydHNzbC5jb20vY3J0MS1jcmwuY3JsMIGOBggrBgEF
BQcBAQSBgTB/MDkGCCsGAQUFBzABhi1odHRwOi8vb2NzcC5zdGFydHNzbC5jb20v
c3ViL2NsYXNzMS9zZXJ2ZXIvY2EwQgYIKwYBBQUHMAKGNmh0dHA6Ly93d3cuc3Rh
cnRzc2wuY29tL2NlcnRzL3N1Yi5jbGFzczEuc2VydmVyLmNhLmNydDAjBgNVHRIE
HDAahhhodHRwOi8vd3d3LnN0YXJ0c3NsLmNvbS8wDQYJKoZIhvcNAQEFBQADggEB
ACXj6SB59KRJPenn6gUdGEqcta97U769SATyiQ87i9er64qLwvIGLMa3o2Rcgl2Y
kghUeyLdN/EXyFBYA8L8uvZREPoc7EZukpT/ZDLXy9i2S0jkOxvF2fD/XLbcjGjM
iEYG1/6ASw0ri9C0k4oDDoJLCoeH9++yqF7SFCCMcDkJqiAGXNb4euDpa8vCCtEQ
CSS+ObZbfkreRt3cNCf5LfCXe9OsTnCfc8Cuq81c0oLaG+SmaLUQNBuToq8e9/Zm
+b+/a3RVjxmkV5OCcGVBxsXNDn54Q6wsdw0TBMcjwoEndzpLS7yWgFbbkq5ZiGpw
Qibb2+CfKuQ+WFV1GkVQmVA=
-----END CERTIFICATE-----`

const startComIntermediate = `-----BEGIN CERTIFICATE-----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-----END CERTIFICATE-----`

const startComRoot = `-----BEGIN CERTIFICATE-----
MIIHyTCCBbGgAwIBAgIBATANBgkqhkiG9w0BAQUFADB9MQswCQYDVQQGEwJJTDEW
MBQGA1UEChMNU3RhcnRDb20gTHRkLjErMCkGA1UECxMiU2VjdXJlIERpZ2l0YWwg
Q2VydGlmaWNhdGUgU2lnbmluZzEpMCcGA1UEAxMgU3RhcnRDb20gQ2VydGlmaWNh
dGlvbiBBdXRob3JpdHkwHhcNMDYwOTE3MTk0NjM2WhcNMzYwOTE3MTk0NjM2WjB9
MQswCQYDVQQGEwJJTDEWMBQGA1UEChMNU3RhcnRDb20gTHRkLjErMCkGA1UECxMi
U2VjdXJlIERpZ2l0YWwgQ2VydGlmaWNhdGUgU2lnbmluZzEpMCcGA1UEAxMgU3Rh
cnRDb20gQ2VydGlmaWNhdGlvbiBBdXRob3JpdHkwggIiMA0GCSqGSIb3DQEBAQUA
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-----END CERTIFICATE-----`