XSD Tutorials - Herong's Tutorial Examples - Version 5.10, by Dr. Herong Yang

"nonNegativeInteger", "positiveInteger", "nonPositiveInteger", "negativeInteger" Datatypes

This section describes the built-in primitive datatypes, 'nonNegativeInteger', 'positiveInteger', 'nonPositiveInteger' and 'negativeInteger', that represents integer numbers according signs and the zero value. Leading and trailing whitespaces are allowed and trimmed.

Also based on the "long" datatype, 4 other built-in datatypes are derived in XSD 1.1 to represent integer numbers within different ranges according to signs and the zero value: "nonNegativeInteger", "positiveInteger", "nonPositiveInteger" and "negativeInteger". Their definitions can be summarized as:

  • The value space of "nonNegativeInteger" is all positive integer numbers and zero. Negative integers are excluded.
  • The value space of "positiveInteger" is all positive integer numbers. Zero and negative integers are excluded.
  • The value space of "nonPositiveInteger" is all negative integer numbers and zero. Positive integers are excluded.
  • The value space of "negativeInteger" is all negative integer numbers. Zero and positive integers are excluded.
  • Lexical spaces of "nonNegativeInteger", "positiveInteger", "nonPositiveInteger" and "negativeInteger" are all possible values in their value spaces represented in decimal format with leading and trailing whitespaces allowed and trimmed.
  • Leading zeroes are optional.
  • Decimal point is not allowed.
  • "nonNegativeInteger", "positiveInteger", "nonPositiveInteger" and "negativeInteger" lexical representations after whitespaces are trimmed should match this regular expression: /[\-+]?[0-9]+/.

To verify these rules, I wrote this simple XSD document that uses "nonNegativeInteger", "positiveInteger", "nonPositiveInteger" and "negativeInteger" datatypes to declare XML elements:

<?xml version="1.1"?>
<!-- positive_negative_integer_datatype_test.xsd
 - Copyright (c) 2013, HerongYang.com, All Rights Reserved.
-->
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema">
<xs:element name="Positive_Negative_Integer_Datatype_Test">
  <xs:complexType>
    <xs:sequence>
      <xs:element name="NonNegativeInteger" type="xs:nonNegativeInteger" 
        maxOccurs="unbounded"/>
      <xs:element name="PositiveInteger" type="xs:positiveInteger" 
        maxOccurs="unbounded"/>
      <xs:element name="NonPositiveInteger" type="xs:nonPositiveInteger" 
        maxOccurs="unbounded"/>
      <xs:element name="NegativeInteger" type="xs:negativeInteger" 
        maxOccurs="unbounded"/>
    </xs:sequence>
  </xs:complexType>
</xs:element>
</xs:schema>

Here is a sample XML document that can be used to test these declarations:

<?xml version="1.1"?>
<!-- positive_negative_integer_datatype_test.xml
 - Copyright (c) 2013, HerongYang.com, All Rights Reserved.
-->
<Positive_Negative_Integer_Datatype_Test>
<!-- 2 valid "NonNegativeInteger" elements -->
  <NonNegativeInteger>012345678901234567890123456</NonNegativeInteger>
  <NonNegativeInteger>000000000000000000000000000</NonNegativeInteger>

<!-- 1 invalid "NonNegativeInteger" elements -->
  <NonNegativeInteger>-1</NonNegativeInteger>

<!-- 1 valid "PositiveInteger" elements -->
  <PositiveInteger>012345678901234567890123456</PositiveInteger>

<!-- 2 invalid "PositiveInteger" elements -->
  <PositiveInteger>-1</PositiveInteger>
  <PositiveInteger> 0</PositiveInteger>

<!-- 2 valid "NonPositiveInteger" elements -->
  <NonPositiveInteger>-012345678901234567890123456</NonPositiveInteger>
  <NonPositiveInteger> 000000000000000000000000000</NonPositiveInteger>

<!-- 1 invalid "NonPositiveInteger" elements -->
  <NonPositiveInteger>1</NonPositiveInteger>

<!-- 1 valid "NegativeInteger" elements -->
  <NegativeInteger>-012345678901234567890123456</NegativeInteger>

<!-- 2 invalid "NegativeInteger" elements -->
  <NegativeInteger>1</NegativeInteger>
  <NegativeInteger>0</NegativeInteger>
  
</Positive_Negative_Integer_Datatype_Test>

When validating this XML document with my XsdSchemaValidator.java program presented earlier in the book, I get 6 groups errors for 6 invalid XML elements:

c:\Progra~1\Java\jdk1.7.0_07\bin\java XsdSchemaValidator 
   positive_negative_integer_datatype_test.xsd 
   positive_negative_integer_datatype_test.xml
   
Error:
   Line number: 11
   Column number: 46
   Message: cvc-minInclusive-valid: Value '-1' is not facet-valid with
   respect to minInclusive '0' for type 'nonNegativeInteger'.

Error:
   Line number: 11
   Column number: 46
   Message: cvc-type.3.1.3: The value '-1' of element 
   'NonNegativeInteger' is not valid.

Error:
   Line number: 17
   Column number: 40
   Message: cvc-minInclusive-valid: Value '-1' is not facet-valid with
   respect to minInclusive '1' for type 'positiveInteger'.

Error:
   Line number: 17
   Column number: 40
   Message: cvc-type.3.1.3: The value '-1' of element 
   'PositiveInteger' is not valid.

Error:
   Line number: 18
   Column number: 40
   Message: cvc-minInclusive-valid: Value '0' is not facet-valid with
   respect to minInclusive '1' for type 'positiveInteger'.

Error:
   Line number: 18
   Column number: 40
   Message: cvc-type.3.1.3: The value ' 0' of element 
   'PositiveInteger' is not valid.

Error:
   Line number: 25
   Column number: 45
   Message: cvc-maxInclusive-valid: Value '1' is not facet-valid with
   respect to maxInclusive '0' for type 'nonPositiveInteger'.

Error:
   Line number: 25
   Column number: 45
   Message: cvc-type.3.1.3: The value '1' of element 
   'NonPositiveInteger' is not valid.

Error:
   Line number: 31
   Column number: 39
   Message: cvc-maxInclusive-valid: Value '1' is not facet-valid with
   respect to maxInclusive '-1' for type 'negativeInteger'.

Error:
   Line number: 31
   Column number: 39
   Message: cvc-type.3.1.3: The value '1' of element 'NegativeInteger'
   is not valid.

Error:
   Line number: 32
   Column number: 39
   Message: cvc-maxInclusive-valid: Value '0' is not facet-valid with
   respect to maxInclusive '-1' for type 'negativeInteger'.

Error:
   Line number: 32
   Column number: 39
   Message: cvc-type.3.1.3: The value '0' of element 'NegativeInteger'
   is not valid.

Failed with errors: 12

Last update: 2013.

Table of Contents

 About This Book

 Introduction to XML Schema

 XML Editor and Schema Processor - XMLPad

 Java API for XML Processing - JAXP

 JAXP - XML Schema (XSD) Validation

 Xerces2 Java Parser - Java API of XML Parsers

 Using Xerces2 Java API

 XML Schema Language - Basics

 Introduction of XSD Built-in Datatypes

 "string" and Its Derived Datatypes

"decimal" and Its Derived Datatypes

 "decimal" Datatype Values and Representations

 "integer" Datatype Values and Representations

 "long", "int", "short" and "byte" Datatypes

"nonNegativeInteger", "positiveInteger", "nonPositiveInteger", "negativeInteger" Datatypes

 ""unsignedLong" and "unsignedShort" Datatypes

 "dateTime" and Its Related Datatypes

 Miscellaneous Built-in Datatypes

 Facets, Constraining Facets and Restriction Datatypes

 "simpleType" - Defining Your Own Simple Datatypes

 Complex Element Declaration

 Identity-Constraints: unique, key and keyref

 Assertion as Custom Validation Rules

 XML Schema Location and Namespace in XML Documents

 Overriding Element Types in XML Documents

 Linking Multiple Schema Documents Together

 Glossary

 References

 PDF Printing Version

"nonNegativeInteger", "positiveInteger", "nonPositiveInteger", "negativeInteger" Datatypes - Updated in 2014, by Dr. Herong Yang