The bean 'AmazonEc2InstanceDataPropertySourcePostProcessor', defined in null, could not be registered - amazon-web-services

I try to migrate spring from 1.5.7 version to 2.1.5 and this exception occurred.
The stack trace listed below.
2020-02-18 07:23:02.056 INFO 1 --- [ main] c.c.c.ConfigServicePropertySourceLocator : Fetching config from server at : http://localhost:8888
2020-02-18 07:23:02.226 INFO 1 --- [ main] c.c.c.ConfigServicePropertySourceLocator : Connect Timeout Exception on Url - http://localhost:8888. Will be trying the next url if available
2020-02-18 07:23:02.226 WARN 1 --- [ main] c.c.c.ConfigServicePropertySourceLocator : Could not locate PropertySource: I/O error on GET request for "http://localhost:8888/application/dockerEE,solrWriterEnabled,writerBatchSize5000,aws_integration3a,commondb,neo,reviewModelIndexingDisabled/aws_integration3a": Connection refused (Connection refused); nested exception is java.net.ConnectException: Connection refused (Connection refused)
2020-02-18 07:23:02.229 INFO 1 --- [ main] c.j.itemdiscovery.index.Application : The following profiles are active: dockerEE,solrWriterEnabled,writerBatchSize5000,aws_integration3a,commondb,neo,reviewModelIndexingDisabled
2020-02-18 07:23:03.480 INFO 1 --- [ main] .s.d.r.c.RepositoryConfigurationDelegate : Bootstrapping Spring Data repositories in DEFAULT mode.
2020-02-18 07:23:03.510 INFO 1 --- [ main] .s.d.r.c.RepositoryConfigurationDelegate : Finished Spring Data repository scanning in 23ms. Found 0 repository interfaces.
2020-02-18 07:23:03.515 INFO 1 --- [ main] .s.d.r.c.RepositoryConfigurationDelegate : Bootstrapping Spring Data repositories in DEFAULT mode.
2020-02-18 07:23:03.520 INFO 1 --- [ main] .s.d.r.c.RepositoryConfigurationDelegate : Finished Spring Data repository scanning in 5ms. Found 0 repository interfaces.
2020-02-18 07:23:03.575 WARN 1 --- [ main] s.c.a.AnnotationConfigApplicationContext : Exception encountered during context initialization - cancelling refresh attempt: org.springframework.beans.factory.support.BeanDefinitionOverrideException: Invalid bean definition with name 'AmazonEc2InstanceDataPropertySourcePostProcessor' defined in null: Cannot register bean definition [Generic bean: class [org.springframework.cloud.aws.context.config.AmazonEc2InstanceDataPropertySourcePostProcessor]; scope=; abstract=false; lazyInit=false; autowireMode=0; dependencyCheck=0; autowireCandidate=true; primary=false; factoryBeanName=null; factoryMethodName=null; initMethodName=null; destroyMethodName=null] for bean 'AmazonEc2InstanceDataPropertySourcePostProcessor': There is already [Generic bean: class [org.springframework.cloud.aws.context.config.AmazonEc2InstanceDataPropertySourcePostProcessor]; scope=; abstract=false; lazyInit=false; autowireMode=0; dependencyCheck=0; autowireCandidate=true; primary=false; factoryBeanName=null; factoryMethodName=null; initMethodName=null; destroyMethodName=null] bound.
2020-02-18 07:23:03.589 INFO 1 --- [ main] ConditionEvaluationReportLoggingListener :
Error starting ApplicationContext. To display the conditions report re-run your application with 'debug' enabled.
2020-02-18 07:23:03.593 ERROR 1 --- [ main] o.s.b.d.LoggingFailureAnalysisReporter :
***************************
APPLICATION FAILED TO START
***************************
Description:
The bean 'AmazonEc2InstanceDataPropertySourcePostProcessor', defined in null, could not be registered. A bean with that name has already been defined in null and overriding is disabled.
Action:
Consider renaming one of the beans or enabling overriding by setting spring.main.allow-bean-definition-overriding=true
This is gradle properties of indexer project
apply plugin: 'application'
apply plugin: 'org.springframework.boot'
configurations {
compile.exclude module: 'spring-boot-starter-tomcat'
compile.exclude module: 'slf4j-log4j12'
compile.exclude module: 'log4j-slf4j-impl'
compile.exclude module: 'jms-api'
compile.exclude module: 'tibjms'
compile.exclude module: 'spring-jms'
compile.extendsFrom(springBootCommon, springCloudCommon)
}
dependencyManagement {
imports {
mavenBom "org.springframework.cloud:spring-cloud-dependencies:${springCloudVersion}"
}
dependencies {
dependencySet(group: 'org.apache.solr', version: '6.4.1') {
entry 'solr-solrj'
}
}
}
dependencies {
compile project(':tdm-integration-common')
compileOnly 'org.projectlombok:lombok'
testCompile group: 'junit', name: 'junit', version: '4.12'
testCompile group: 'com.tngtech.java', name: 'junit-dataprovider', version: '1.12.0'
testCompile group: 'org.mockito', name: 'mockito-all', version: '1.10.19'
}
Dependencies tree
compileClasspath - Compile classpath for source set 'main'.
+--- project :tdm-integration-common
| +--- com.dig.platform:cassandra:2.1.16
| | +--- com.datastax.dse:dse-java-driver-core:1.8.1
| | | +--- io.netty:netty-handler:4.0.56.Final -> 4.1.36.Final
| | | | +--- io.netty:netty-common:4.1.36.Final
| | | | +--- io.netty:netty-buffer:4.1.36.Final
| | | | | \--- io.netty:netty-common:4.1.36.Final
| | | | +--- io.netty:netty-transport:4.1.36.Final
| | | | | +--- io.netty:netty-common:4.1.36.Final
| | | | | +--- io.netty:netty-buffer:4.1.36.Final (*)
| | | | | \--- io.netty:netty-resolver:4.1.36.Final
| | | | | \--- io.netty:netty-common:4.1.36.Final
| | | | \--- io.netty:netty-codec:4.1.36.Final
| | | | +--- io.netty:netty-common:4.1.36.Final
| | | | +--- io.netty:netty-buffer:4.1.36.Final (*)
| | | | \--- io.netty:netty-transport:4.1.36.Final (*)
| | | +--- com.google.guava:guava:19.0
| | | +--- io.dropwizard.metrics:metrics-core:3.2.2 -> 3.1.2
| | | | \--- org.slf4j:slf4j-api:1.7.7 -> 1.7.26
| | | +--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| | | +--- com.github.jnr:jnr-ffi:2.1.7
| | | | +--- com.github.jnr:jffi:1.2.16
| | | | +--- org.ow2.asm:asm:5.0.3
| | | | +--- org.ow2.asm:asm-commons:5.0.3
| | | | | \--- org.ow2.asm:asm-tree:5.0.3
| | | | | \--- org.ow2.asm:asm:5.0.3
| | | | +--- org.ow2.asm:asm-analysis:5.0.3
| | | | | \--- org.ow2.asm:asm-tree:5.0.3 (*)
| | | | +--- org.ow2.asm:asm-tree:5.0.3 (*)
| | | | +--- org.ow2.asm:asm-util:5.0.3
| | | | | \--- org.ow2.asm:asm-tree:5.0.3 (*)
| | | | \--- com.github.jnr:jnr-x86asm:1.0.2
| | | \--- com.github.jnr:jnr-posix:3.0.44
| | | +--- com.github.jnr:jnr-ffi:2.1.7 (*)
| | | \--- com.github.jnr:jnr-constants:0.9.9
| | +--- com.google.guava:guava:19.0
| | +--- org.springframework.data:spring-data-cassandra:2.1.5.RELEASE -> 2.1.8.RELEASE
| | | +--- org.springframework:spring-context:5.1.7.RELEASE
| | | | +--- org.springframework:spring-aop:5.1.7.RELEASE
| | | | | +--- org.springframework:spring-beans:5.1.7.RELEASE
| | | | | | \--- org.springframework:spring-core:5.1.7.RELEASE
| | | | | | \--- org.springframework:spring-jcl:5.1.7.RELEASE
| | | | | \--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | | +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| | | | +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | | \--- org.springframework:spring-expression:5.1.7.RELEASE
| | | | \--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-tx:5.1.7.RELEASE
| | | | +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| | | | \--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-expression:5.1.7.RELEASE (*)
| | | +--- org.springframework.data:spring-data-commons:2.1.8.RELEASE
| | | | +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | | +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| | | | \--- org.slf4j:slf4j-api:1.7.26
| | | \--- org.slf4j:slf4j-api:1.7.26
| | \--- org.projectlombok:lombok:1.16.12 -> 1.18.8
| +--- com.dig.platform:metrics:2.1.16
| | +--- org.springframework.boot:spring-boot-starter-actuator:2.1.5.RELEASE
| | | +--- org.springframework.boot:spring-boot-starter:2.1.5.RELEASE
| | | | +--- org.springframework.boot:spring-boot:2.1.5.RELEASE
| | | | | +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | | | \--- org.springframework:spring-context:5.1.7.RELEASE (*)
| | | | +--- org.springframework.boot:spring-boot-autoconfigure:2.1.5.RELEASE
| | | | | \--- org.springframework.boot:spring-boot:2.1.5.RELEASE (*)
| | | | +--- org.springframework.boot:spring-boot-starter-logging:2.1.5.RELEASE
| | | | | +--- ch.qos.logback:logback-classic:1.2.3
| | | | | | +--- ch.qos.logback:logback-core:1.2.3
| | | | | | \--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| | | | | +--- org.apache.logging.log4j:log4j-to-slf4j:2.11.2
| | | | | | +--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| | | | | | \--- org.apache.logging.log4j:log4j-api:2.11.2
| | | | | \--- org.slf4j:jul-to-slf4j:1.7.26
| | | | | \--- org.slf4j:slf4j-api:1.7.26
| | | | +--- javax.annotation:javax.annotation-api:1.3.2
| | | | \--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | +--- org.springframework.boot:spring-boot-actuator-autoconfigure:2.1.5.RELEASE
| | | | +--- org.springframework.boot:spring-boot-actuator:2.1.5.RELEASE
| | | | | \--- org.springframework.boot:spring-boot:2.1.5.RELEASE (*)
| | | | +--- org.springframework.boot:spring-boot-autoconfigure:2.1.5.RELEASE (*)
| | | | +--- com.fasterxml.jackson.core:jackson-databind:2.9.8
| | | | | +--- com.fasterxml.jackson.core:jackson-annotations:2.9.0
| | | | | \--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | | | +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | | \--- org.springframework:spring-context:5.1.7.RELEASE (*)
| | | \--- io.micrometer:micrometer-core:1.1.4
| | | +--- org.hdrhistogram:HdrHistogram:2.1.9
| | | \--- org.latencyutils:LatencyUtils:2.0.3
| | +--- org.springframework.cloud:spring-cloud-config-client:2.1.1.RELEASE
| | | +--- org.springframework.boot:spring-boot-autoconfigure:2.1.3.RELEASE -> 2.1.5.RELEASE (*)
| | | +--- org.springframework.cloud:spring-cloud-commons:2.1.1.RELEASE
| | | | \--- org.springframework.security:spring-security-crypto:5.1.4.RELEASE -> 5.1.5.RELEASE
| | | +--- org.springframework.cloud:spring-cloud-context:2.1.1.RELEASE
| | | | \--- org.springframework.security:spring-security-crypto:5.1.4.RELEASE -> 5.1.5.RELEASE
| | | +--- org.springframework:spring-web:5.1.5.RELEASE -> 5.1.7.RELEASE
| | | | +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| | | | \--- org.springframework:spring-core:5.1.7.RELEASE (*)
| | | +--- com.fasterxml.jackson.core:jackson-annotations:2.9.0
| | | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| | \--- io.micrometer:micrometer-registry-prometheus:1.1.2 -> 1.1.4
| | +--- io.micrometer:micrometer-core:1.1.4 (*)
| | \--- io.prometheus:simpleclient_common:0.5.0
| | \--- io.prometheus:simpleclient:0.5.0
| +--- com.dig.platform:feature-logging-logback:1.9.20
| | \--- ch.qos.logback:logback-classic:1.1.7 -> 1.2.3 (*)
| +--- org.springframework:spring-context:5.1.7.RELEASE (*)
| +--- com.datastax.dse:dse-java-driver-mapping:1.8.1
| | +--- com.datastax.dse:dse-java-driver-core:1.8.1 (*)
| | +--- com.google.guava:guava:19.0
| | \--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| +--- com.datastax.dse:dse-java-driver-extras:1.8.1
| | +--- com.datastax.dse:dse-java-driver-core:1.8.1 (*)
| | \--- com.google.guava:guava:19.0
| +--- com.fasterxml.jackson.dataformat:jackson-dataformat-yaml:2.8.6 -> 2.9.8
| | +--- org.yaml:snakeyaml:1.23
| | \--- com.fasterxml.jackson.core:jackson-core:2.9.8
| +--- com.fasterxml.jackson.core:jackson-databind:2.8.6 -> 2.9.8 (*)
| +--- com.fasterxml.jackson.core:jackson-core:2.8.6 -> 2.9.8
| +--- com.fasterxml.jackson.jaxrs:jackson-jaxrs-json-provider:2.8.6 -> 2.9.8
| | +--- com.fasterxml.jackson.jaxrs:jackson-jaxrs-base:2.9.8
| | | +--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| | \--- com.fasterxml.jackson.module:jackson-module-jaxb-annotations:2.9.8
| | +--- com.fasterxml.jackson.core:jackson-annotations:2.9.0
| | +--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| +--- com.google.code.gson:gson:2.8.0 -> 2.8.5
| +--- org.json:json:20180130
| +--- org.apache.cxf:cxf-core:3.1.12
| | +--- org.codehaus.woodstox:woodstox-core-asl:4.4.1
| | | \--- org.codehaus.woodstox:stax2-api:3.1.4
| | \--- org.apache.ws.xmlschema:xmlschema-core:2.2.2
| +--- org.apache.cxf:cxf-rt-rs-client:3.1.12
| | +--- org.apache.cxf:cxf-rt-transports-http:3.1.12
| | | \--- org.apache.cxf:cxf-core:3.1.12 (*)
| | +--- org.apache.cxf:cxf-core:3.1.12 (*)
| | \--- org.apache.cxf:cxf-rt-frontend-jaxrs:3.1.12
| | +--- org.apache.cxf:cxf-core:3.1.12 (*)
| | +--- javax.ws.rs:javax.ws.rs-api:2.0.1
| | +--- javax.annotation:javax.annotation-api:1.2 -> 1.3.2
| | \--- org.apache.cxf:cxf-rt-transports-http:3.1.12 (*)
| +--- org.apache.cxf:cxf-rt-transports-http-hc:3.1.12
| | +--- org.apache.cxf:cxf-core:3.1.12 (*)
| | +--- org.apache.cxf:cxf-rt-transports-http:3.1.12 (*)
| | +--- org.slf4j:slf4j-api:1.7.24 -> 1.7.26
| | +--- org.slf4j:jcl-over-slf4j:1.7.24 -> 1.7.26
| | | \--- org.slf4j:slf4j-api:1.7.26
| | +--- org.apache.httpcomponents:httpcore-nio:4.4.6 -> 4.4.11
| | | \--- org.apache.httpcomponents:httpcore:4.4.11
| | \--- org.apache.httpcomponents:httpasyncclient:4.1.3 -> 4.1.4
| | +--- org.apache.httpcomponents:httpcore:4.4.10 -> 4.4.11
| | +--- org.apache.httpcomponents:httpcore-nio:4.4.10 -> 4.4.11 (*)
| | \--- org.apache.httpcomponents:httpclient:4.5.6 -> 4.5.8
| | +--- org.apache.httpcomponents:httpcore:4.4.11
| | \--- commons-codec:commons-codec:1.11
| +--- org.apache.cxf:cxf-rt-frontend-jaxrs:3.1.12 (*)
| +--- com.amazonaws:aws-java-sdk-s3:1.11.180 -> 1.11.415
| | +--- com.amazonaws:aws-java-sdk-kms:1.11.415
| | | +--- com.amazonaws:aws-java-sdk-core:1.11.415
| | | | +--- org.apache.httpcomponents:httpclient:4.5.5 -> 4.5.8 (*)
| | | | +--- software.amazon.ion:ion-java:1.0.2
| | | | +--- com.fasterxml.jackson.core:jackson-databind:2.6.7.1 -> 2.9.8 (*)
| | | | +--- com.fasterxml.jackson.dataformat:jackson-dataformat-cbor:2.6.7 -> 2.9.8
| | | | | \--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | | | \--- joda-time:joda-time:2.8.1 -> 2.10.2
| | | \--- com.amazonaws:jmespath-java:1.11.415
| | | \--- com.fasterxml.jackson.core:jackson-databind:2.6.7.1 -> 2.9.8 (*)
| | +--- com.amazonaws:aws-java-sdk-core:1.11.415 (*)
| | \--- com.amazonaws:jmespath-java:1.11.415 (*)
| +--- com.amazonaws:aws-java-sdk-core:1.11.180 -> 1.11.415 (*)
| +--- javax.jms:javax.jms-api:2.0.1
| +--- org.apache.solr:solr-solrj:6.4.1
| | +--- commons-io:commons-io:2.5
| | +--- org.apache.httpcomponents:httpclient:4.4.1 -> 4.5.8 (*)
| | +--- org.apache.httpcomponents:httpcore:4.4.1 -> 4.4.11
| | +--- org.apache.httpcomponents:httpmime:4.4.1 -> 4.5.8
| | +--- org.apache.zookeeper:zookeeper:3.4.6
| | +--- org.codehaus.woodstox:stax2-api:3.1.4
| | +--- org.codehaus.woodstox:woodstox-core-asl:4.4.1 (*)
| | +--- org.noggit:noggit:0.6
| | +--- org.slf4j:jcl-over-slf4j:1.7.7 -> 1.7.26 (*)
| | \--- org.slf4j:slf4j-api:1.7.7 -> 1.7.26
| +--- commons-codec:commons-codec:1.10 -> 1.11
| +--- commons-io:commons-io:2.5
| +--- org.apache.commons:commons-lang3:3.9 -> 3.8.1
| \--- org.hibernate:hibernate-validator:6.0.10.Final
| \--- org.hibernate.validator:hibernate-validator:6.0.10.Final -> 6.0.16.Final
| +--- javax.validation:validation-api:2.0.1.Final
| +--- org.jboss.logging:jboss-logging:3.3.2.Final
| \--- com.fasterxml:classmate:1.3.4 -> 1.4.0
+--- io.dropwizard.metrics:metrics-core:3.1.2 (*)
+--- org.projectlombok:lombok -> 1.18.8
+--- org.springframework.boot:spring-boot-starter-actuator -> 2.1.5.RELEASE (*)
+--- org.springframework.boot:spring-boot-starter-security -> 2.1.5.RELEASE
| +--- org.springframework.boot:spring-boot-starter:2.1.5.RELEASE (*)
| +--- org.springframework:spring-aop:5.1.7.RELEASE (*)
| +--- org.springframework.security:spring-security-config:5.1.5.RELEASE
| | +--- org.springframework.security:spring-security-core:5.1.5.RELEASE
| | | +--- org.springframework:spring-aop:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-beans:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-context:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-core:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | | \--- org.springframework:spring-expression:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | +--- org.springframework:spring-aop:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | +--- org.springframework:spring-beans:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | +--- org.springframework:spring-context:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| | \--- org.springframework:spring-core:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| \--- org.springframework.security:spring-security-web:5.1.5.RELEASE
| +--- org.springframework.security:spring-security-core:5.1.5.RELEASE (*)
| +--- org.springframework:spring-aop:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| +--- org.springframework:spring-beans:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| +--- org.springframework:spring-context:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| +--- org.springframework:spring-core:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| +--- org.springframework:spring-expression:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
| \--- org.springframework:spring-web:5.1.6.RELEASE -> 5.1.7.RELEASE (*)
+--- org.springframework.boot:spring-boot-starter-web -> 2.1.5.RELEASE
| +--- org.springframework.boot:spring-boot-starter:2.1.5.RELEASE (*)
| +--- org.springframework.boot:spring-boot-starter-json:2.1.5.RELEASE
| | +--- org.springframework.boot:spring-boot-starter:2.1.5.RELEASE (*)
| | +--- org.springframework:spring-web:5.1.7.RELEASE (*)
| | +--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| | +--- com.fasterxml.jackson.datatype:jackson-datatype-jdk8:2.9.8
| | | +--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| | +--- com.fasterxml.jackson.datatype:jackson-datatype-jsr310:2.9.8
| | | +--- com.fasterxml.jackson.core:jackson-annotations:2.9.0
| | | +--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| | \--- com.fasterxml.jackson.module:jackson-module-parameter-names:2.9.8
| | +--- com.fasterxml.jackson.core:jackson-core:2.9.8
| | \--- com.fasterxml.jackson.core:jackson-databind:2.9.8 (*)
| +--- org.hibernate.validator:hibernate-validator:6.0.16.Final (*)
| +--- org.springframework:spring-web:5.1.7.RELEASE (*)
| \--- org.springframework:spring-webmvc:5.1.7.RELEASE
| +--- org.springframework:spring-aop:5.1.7.RELEASE (*)
| +--- org.springframework:spring-beans:5.1.7.RELEASE (*)
| +--- org.springframework:spring-context:5.1.7.RELEASE (*)
| +--- org.springframework:spring-core:5.1.7.RELEASE (*)
| +--- org.springframework:spring-expression:5.1.7.RELEASE (*)
| \--- org.springframework:spring-web:5.1.7.RELEASE (*)
+--- org.springframework.boot:spring-boot-starter-aop -> 2.1.5.RELEASE
| +--- org.springframework.boot:spring-boot-starter:2.1.5.RELEASE (*)
| +--- org.springframework:spring-aop:5.1.7.RELEASE (*)
| \--- org.aspectj:aspectjweaver:1.9.4
+--- org.springframework.cloud:spring-cloud-config-client -> 2.1.1.RELEASE (*)
+--- org.springframework.cloud:spring-cloud-starter-netflix-eureka-client -> 2.1.1.RELEASE
| +--- org.springframework.cloud:spring-cloud-starter:2.1.1.RELEASE
| | +--- org.springframework.boot:spring-boot-starter:2.1.3.RELEASE -> 2.1.5.RELEASE (*)
| | +--- org.springframework.cloud:spring-cloud-context:2.1.1.RELEASE (*)
| | +--- org.springframework.cloud:spring-cloud-commons:2.1.1.RELEASE (*)
| | \--- org.springframework.security:spring-security-rsa:1.0.7.RELEASE
| | \--- org.bouncycastle:bcpkix-jdk15on:1.60
| | \--- org.bouncycastle:bcprov-jdk15on:1.60
| +--- org.springframework.cloud:spring-cloud-netflix-hystrix:2.1.1.RELEASE
| | +--- org.springframework.boot:spring-boot-autoconfigure:2.1.3.RELEASE -> 2.1.5.RELEASE (*)
| | \--- org.springframework.boot:spring-boot-starter-aop:2.1.3.RELEASE -> 2.1.5.RELEASE (*)
| +--- org.springframework.cloud:spring-cloud-netflix-eureka-client:2.1.1.RELEASE
| | \--- org.springframework.cloud:spring-cloud-netflix-hystrix:2.1.1.RELEASE (*)
| +--- com.netflix.eureka:eureka-client:1.9.8
| +--- com.netflix.eureka:eureka-core:1.9.8
| +--- org.springframework.cloud:spring-cloud-starter-netflix-archaius:2.1.1.RELEASE
| | +--- org.springframework.cloud:spring-cloud-starter:2.1.1.RELEASE (*)
| | +--- org.springframework.cloud:spring-cloud-netflix-ribbon:2.1.1.RELEASE
| | | \--- org.springframework.cloud:spring-cloud-netflix-archaius:2.1.1.RELEASE
| | +--- org.springframework.cloud:spring-cloud-netflix-archaius:2.1.1.RELEASE
| | +--- com.netflix.archaius:archaius-core:0.7.6
| | \--- commons-configuration:commons-configuration:1.8
| | \--- commons-lang:commons-lang:2.6
| +--- org.springframework.cloud:spring-cloud-starter-netflix-ribbon:2.1.1.RELEASE
| | +--- org.springframework.cloud:spring-cloud-starter:2.1.1.RELEASE (*)
| | +--- org.springframework.cloud:spring-cloud-netflix-ribbon:2.1.1.RELEASE (*)
| | +--- org.springframework.cloud:spring-cloud-starter-netflix-archaius:2.1.1.RELEASE (*)
| | +--- com.netflix.ribbon:ribbon:2.3.0
| | +--- com.netflix.ribbon:ribbon-core:2.3.0
| | +--- com.netflix.ribbon:ribbon-httpclient:2.3.0
| | +--- com.netflix.ribbon:ribbon-loadbalancer:2.3.0
| | \--- io.reactivex:rxjava:1.2.0
| +--- com.netflix.ribbon:ribbon-eureka:2.3.0
| \--- com.thoughtworks.xstream:xstream:1.4.10
| +--- xmlpull:xmlpull:1.1.3.1
| \--- xpp3:xpp3_min:1.1.4c
+--- org.springframework.cloud:spring-cloud-aws-autoconfigure -> 2.1.1.RELEASE
| +--- org.springframework.cloud:spring-cloud-aws-context:2.1.1.RELEASE
| | +--- org.springframework.cloud:spring-cloud-aws-core:2.1.1.RELEASE
| | | +--- org.springframework:spring-beans:5.1.5.RELEASE -> 5.1.7.RELEASE (*)
| | | +--- org.springframework:spring-aop:5.1.5.RELEASE -> 5.1.7.RELEASE (*)
| | | +--- com.amazonaws:aws-java-sdk-core:1.11.415 (*)
| | | +--- com.amazonaws:aws-java-sdk-s3:1.11.415 (*)
| | | +--- com.amazonaws:aws-java-sdk-ec2:1.11.415
| | | | +--- com.amazonaws:aws-java-sdk-core:1.11.415 (*)
| | | | \--- com.amazonaws:jmespath-java:1.11.415 (*)
| | | +--- com.amazonaws:aws-java-sdk-cloudformation:1.11.415
| | | | +--- com.amazonaws:aws-java-sdk-core:1.11.415 (*)
| | | | \--- com.amazonaws:jmespath-java:1.11.415 (*)
| | | \--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| | +--- org.springframework:spring-context:5.1.5.RELEASE -> 5.1.7.RELEASE (*)
| | \--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
| +--- org.springframework.boot:spring-boot-autoconfigure:2.1.3.RELEASE -> 2.1.5.RELEASE (*)
| \--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
\--- org.springframework.cloud:spring-cloud-starter-aws -> 2.1.1.RELEASE
+--- org.springframework.cloud:spring-cloud-aws-context:2.1.1.RELEASE (*)
+--- org.springframework.cloud:spring-cloud-aws-autoconfigure:2.1.1.RELEASE (*)
\--- org.slf4j:slf4j-api:1.7.25 -> 1.7.26
This is multi-project and it uses spring and spring-boot simultaneously.
It looks like I have dependencies overlapping from spring and spring boot because some projects use Spring, for example, to build a Rest API and some use Spring Boot for command-line applications.

That happens because you have already spring-cloud-aws-autoconfigure jar on classpath which contains spring.facories which loads automatically AWS related beans (autoconfiguration). When you use in your project annotation #EnableContextInstanceData it underneath causes loading the same configuration second time.

Related

why does read barrier can causes all effects prior to storage from another cpu be perceptible?

Documentation about memory barriers of linux kernel(https://www.kernel.org/doc/Documentation/memory-barriers.txt) has this example to illustrate the read barrier in the SMP case can be used to causes all effects prior to storage from another cpu be perceptible.
why dose read barrier can do that?
+-------+ : : : :
| | +------+ +-------+
| |------>| A=1 |------ --->| A->0 |
| | +------+ \ +-------+
| CPU 1 | wwwwwwwwwwwwwwww \ --->| B->9 |
| | +------+ | +-------+
| |------>| B=2 |--- | : :
| | +------+ \ | : : +-------+
+-------+ : : \ | +-------+ | |
---------->| B->2 |------>| |
| +-------+ | CPU 2 |
| : : | |
| : : | |
At this point the read ----> \ rrrrrrrrrrrrrrrrr | |
barrier causes all effects \ +-------+ | |
prior to the storage of B ---->| A->1 |------>| |
to be perceptible to CPU 2 +-------+ | |
: : +-------+

difference between size_t (*B)[N] and size_t *B[N]

what's the difference between these two lines of code in c++?
size_t (*B)[N] = new size_t[N][N]; and
size_t *B[N] = new size_t[N][N];
first one compiles correctly but with second line, g++ gives this error
matrixim.cpp:43:20: error: array must be initialized with a brace-enclosed initializer
43 | size_t *B[N] = new size_t[N][N];
size_t *B[N]
Here, B is an array of N pointers to size_t
size_t (*B)[N]
Here, B is a pointer to an array of N size_ts
Both of these constructs could be used to create something approximating a 2-dimensional array, but their layout in memory is very different.
size_t *B[N] would look something like this:
B +-------------+-------------+-----+-------------+
+--------+ | B[0][0] | B[0][1] | ... | B[0][N-1] |
| B[0] +--->+-------------+-------------+-----+-------------+
+--------+
| B[1] +--->+-------------+-------------+-----+-------------+
+--------+ | B[1][0] | B[1][1] | ... | B[1][N-1] |
| | +-------------+-------------+-----+-------------+
| ... |
| |
+--------+
| B[N-1] +--->+-------------+-------------+-----+-------------+
+--------+ | B[N-1][0] | B[N-1][1] | ... | B[N-1][N-1] |
+-------------+-------------+-----+-------------+
B is an array of N pointers to size_t, each of which points to the first element of an array of N size_t.
size_t (*B)[N] would look something like this:
B +---------------------------------------------------+
+----+ | B[0] |
| +--->+ +-------------+-------------+-----+-------------+ |
+----+ | | B[0][0] | B[0][1] | ... | B[0][N-1] | |
| +-------------+-------------+-----+-------------+ |
+---------------------------------------------------+
| B[1] |
| +-------------+-------------+-----+-------------+ |
| | B[1][0] | B[1][1] | ... | B[1][N-1] | |
| +-------------+-------------+-----+-------------+ |
+---------------------------------------------------+
| |
| ... |
| |
+---------------------------------------------------+
| B[N-1] |
| +-------------+-------------+-----+-------------+ |
| | B[N-1][0] | B[N-1][1] | ... | B[N-1][N-1] | |
| +-------------+-------------+-----+-------------+ |
+---------------------------------------------------+
Here, B is a pointer to the first element of an array of N arrays of N size_t.

How to print a 6* 6 grid as described below in Python

How can i print a grid as shown below without any contents:
I tried the below input:
grid = [["|" for x in range(7)] for y in range(6)]
for row in grid:
print(" ".join(row))
But it generated the below output:
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
I can't think of how to connect the empty spaces with _. Any help would be appreciated.
try below code:
grid = [[" _" for x in range(6)]]
for y in range(6):
list1 = []
for x in range(13):
if x%2 == 0:
list1.append("|")
else:
list1.append("_")
grid.append(list1)
for row in grid:
print("".join(row))
output:
_ _ _ _ _ _
|_|_|_|_|_|_|
|_|_|_|_|_|_|
|_|_|_|_|_|_|
|_|_|_|_|_|_|
|_|_|_|_|_|_|
|_|_|_|_|_|_|

How to check at compile-time if a function that can be called with a specific set of arguments exists?

This is different from checking if a specific function is defined. Here, for this check to return true, the function has to be defined and passing the arguments of a certain type should result in a valid call.
Example: for a function f and an argument of type T &&, the check should return true if f is a valid function that accepts—either directly or through implicit conversion—an argument of type T &&.
void f(int &) {};
int main(int argc, char **av)
{
isFunctionCallable<int>(f); // true because `int i; f(i);` is valid.
isFunctionCallable<int &&>(f); // false because `int i; f(std::move(i));` is invalid.
return 0;
}
Please note the distinction between “arguments” and “parameters” as explained in this answer.
Making use of C++11, this can be done using a mixture of SFINAE, decltype and std::declval.
template<typename ...>
struct Bool
{ using type = bool; };
template<typename ... T_Dummies>
using BoolT = typename Bool<T_Dummies ...>::type;
template<typename T>
struct DeclvalType
{
using type = typename std::conditional<
std::is_rvalue_reference<T>::value,
T,
T &
>::type;
};
template<typename T>
using DeclvalTypeT = typename DeclvalType<T>::type;
template<typename T>
struct ExtractFunction;
template<typename T_Return, typename ... T_Args>
struct ExtractFunction<T_Return(T_Args ...)>
{ using type = T_Return(T_Args ...); };
template<typename T_Return, typename ... T_Args>
struct ExtractFunction<T_Return(*)(T_Args ...)>
{ using type = T_Return(T_Args ...); };
template<typename T, typename T_Return, typename ... T_Args>
struct ExtractFunction<T_Return(T::*)(T_Args ...)>
{ using type = T_Return(T_Args ...); };
template<typename T, typename T_Return, typename ... T_Args>
struct ExtractFunction<T_Return(T::*)(T_Args ...) const>
{ using type = T_Return(T_Args ...); };
template<typename T>
using ExtractFunctionT = typename ExtractFunction<T>::type;
template<typename ... T, typename T_Function>
constexpr auto
impl(T_Function function) ->
BoolT<decltype(
std::declval<ExtractFunctionT<T_Function>>()
(std::declval<DeclvalTypeT<T>>() ...)
)>
{ return true; }
template<typename ... T>
constexpr bool
impl(...)
{ return false; }
template<typename ... T, typename T_Function>
constexpr bool
isFunctionCallable(T_Function function)
{ return impl<T ...>(function); }
With the help of some more code (available in this Gist), it is possible to output tables showing what type of arguments can be passed to what type of parameters.
using T = Default (empty struct with implicit constructors):
+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| | |
| Function signature | Argument type |
| | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| | T | const T | volatile T | const volatile T | T & | const T & | volatile T & | const volatile T & | T && |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &) | x | | | | x | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T &) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T &) | x | | x | | x | | x | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T &) | x | x | x | x | x | x | x | x | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &&) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
using T = NonCopiable:
+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| | |
| Function signature | Argument type |
| | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| | T | const T | volatile T | const volatile T | T & | const T & | volatile T & | const volatile T & | T && |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &) | x | | | | x | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T &) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T &) | x | | x | | x | | x | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T &) | x | x | x | x | x | x | x | x | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &&) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
using T = NonMovable:
+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| | |
| Function signature | Argument type |
| | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| | T | const T | volatile T | const volatile T | T & | const T & | volatile T & | const volatile T & | T && |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T) | x | x | | | x | x | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T) | x | x | | | x | x | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T) | x | x | | | x | x | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T) | x | x | | | x | x | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &) | x | | | | x | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T &) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T &) | x | | x | | x | | x | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T &) | x | x | x | x | x | x | x | x | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &&) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
using T = NonCopiableNonMovable:
+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| | |
| Function signature | Argument type |
| | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| | T | const T | volatile T | const volatile T | T & | const T & | volatile T & | const volatile T & | T && |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T) | | | | | | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T) | | | | | | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T) | | | | | | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T) | | | | | | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &) | x | | | | x | | | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const T &) | x | x | | | x | x | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(volatile T &) | x | | x | | x | | x | | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(const volatile T &) | x | x | x | x | x | x | x | x | |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
| function(T &&) | | | | | | | | | x |
+--------------------------------+-----+-----------+---------------+---------------------+-------+-------------+-----------------+-----------------------+---------+
We can for example deduce from these tables that an argument of type T can't be passed to a function that takes T && as parameter. Or that function(T &&) only accepts arguments of type T &&.
Note how deleting the copy and/or the move constructor reduce the possibilities since the arguments can't be converted implicitly anymore.
Edit:
Added support for member functions, thanks to #hvd.
#define overload_set(F)\
struct { auto operator()(auto&&...args)const\
->decltype(F(std::forward<decltype(args)>(args)...))\
{ return (F(std::forward<decltype(args)>(args)...)); }\
}
this takes a token F and generates an overload set type for F.
It is not quite perfect: it only does perfect forwarding with SFINAE tests. But it is close.
We then use this:
template<class T,class=void>struct can_invoke:std::false_type{};
template<class F,class...Args>
struct can_invoke<F(Args...),
decltype(void(
std::declval<F>()(std::declval<Args>()...)
))
>:std::true_type{};
Mixing them we get:
typedef overload_set(Foo) Foo_overloads;
std::cout << can_invoke<Foo_overloads(int, int) >::value<<"\n";
will print 1 if Foo(3,2) works. As noted, this is limited by failures of perfect forwarding.
You can also pass Foo_overloads{} to functions expecting a function object, and it will dispatch at the call site instead of doing it when you pass the function object.

How to get minimum count rectangles that covers another pile of rectangle?

Assume I have a pile of rectangles, some of which intersect, some isolate. E. g.
+--------------- + +-------- +
| | | |
| | | |
| A | | C |
| +---------------- + | |
| | | | +---------+-------- +
| | | | | |
+---------|----- + B | | D |
| | | |
| | +------------------ +
+---------------- +
+------------------ + +-------- +
| | | |
| E | | X |
+-------------------+ | |
| | +-------- +
| | +------------ +
| | | |
| F | | |
| | | Y |
| | | |
+-------------------+ +------------ +
Rect A, B intersect with each other, C, D have one same point, E, F have two same points, X, Y are isolated.
I have two questions:
How to partion these rectangles into rectangles which cover A, B, C, D, E, F, X, Y exactly also have minimum count like this:
+---------+----- + +-------- +
| | | | |
| | | | |
| | | | |
| | +--------- + | |
| | | | +---------+-------- +
| | | | | |
+---------+ | | | |
| | | | |
| | | +-------------------+
+------+----------+
+------------------ + +-------- +
| | | |
| | | |
| | | |
| | +---------+
| | +------------ +
| | | |
| | | |
| | | |
| | | |
+-------------------+ +-------------+
How to cover intersected rectangles with big ones? Like this:
+---------------------------+ +-------------------+
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | +-------------------+
+---------------------------+
+-------------------+ +---------+
| | | |
| | | |
| | | |
| | +---------+
| | +------------ +
| | | |
| | | |
| | | |
| | | |
+-------------------+ +-------------+
For Q1, I've no idea at all....
For Q2, I wrote some code in C++ but have poor efficiency. I believe there're better methods/algorithm.
bool intersectRect(const Rect& rect1, const Rect& rect2) {
/* if rect1 and rect2 intersect return true
else return false
*/
}
Rect mergeIntersectRects(const set<Rect>& rects) {
// suppose rects are all intersected. This function only return a smallest Rect that cover all rects.
}
set<Rect> mergeRectToRects(const set<Rect>& rectset, const Rect& rect) {
set<Rect> _intersect_rects;
set<Rect> _unintersect_rects;
for(set<Rect>::const_iterator it = rectset.begin();
it != rectset.end();
++it) {
if(intersectRect(*it, rect))
_intersect_rects.insert(*it);
else
_unintersect_rects.insert(*it);
}
if(!_intersect_rects.empty()) {
_intersect_rects.insert(rect);
return mergeRectToRects(_unintersect_rects,
mergeIntersectRects(_intersect_rects));
}
else {
_unintersect_rects.insert(rect);
return _unintersect_rects;
}
}
First, I'm assuming that your rectangles are all axis-aligned.
For Q1, one option would be to sweep the plane while maintaining a list of line segments along the sweep line that lie in the interior of the rectangles. As you discover each rectangle vertex during the sweep you can check to see if it modifies the current interior segments and if so, start or end a rectangle as necessary.
For example, let's say your sweep line moves left to right:
Current
Interior
|
+-|------------- + +-------- + *
| | | | | |
| | | | | |
| | A | | C | |
| | +---------------- + | | |
| | | | | +---------+-------- + |
| | | | | | | |
+-|-------|----- + B | | D | *
| | | | |
| | | +------------------ +
| +---------------- +
|
+-|---------------- + +-------- + *
| | | | | |
| | E | | X | |
| |-----------------+ | | |
| | | +-------- + |
| | | +------------ + |
| | | | | |
| | F | | | |
| | | | Y | |
| | | | | |
+-|-----------------+ +------------ + *
|
When the sweep line is in the position shown above, there are two interior segments. Namely, that inside A and that inside (E U F). When the sweep line reaches the leftmost edge of B, we output a rectangle for the portion of A lying to the left. We then replace the interior of A in the segment list with the interior of (A U B).
Current
Interior
|
+---------+-|--- + +-------- + *
| | | | | | |
| | | | | | |
| | | | | C | |
| | |-------------- + | | |
| | | | | +---------+-------- + |
| | | | | | | |
+---------+ |--- + B | | D | |
| | | | | |
| | | +------------------ + |
+-|-------------- + *
|
+-----------|------ + +-------- + *
| | | | | |
| | | | X | |
| |-------+ | | |
| | | +-------- + |
| | | +------------ + |
| | | | | |
| | | | | |
| | | | Y | |
| | | | | |
+-----------|-------+ +------------ + *
|
For Q2, the answer could be computed during the same sweep by keeping track of the x-coordinate at which a segment was first added to the list (e.g. "left side of A") as well as the min and max y-coordinates that it spans during its lifetime (e.g. bottom of B to top of A). When the segment is finally removed from the list (e.g. "right side of B"), then output a rectangle using these four coordinates.
Sorting the rectangle vertices lexicographically in a preprocessing step would be O(n * log n). Processing them would be O(log n) since you can do a binary search on the known interior ranges. The total runtime should be O(n * log n).
Q1: this is called partition of rectilinear polygon. Answer from Rob's comment has very good description. I found paper mentioned in the answer useful.
Q2: I suppose that you don't want two covers of non-intersecting regions to intersect. Like cover for 3 rectangle, 2 rectangle producing L and rectangle intersection cover of L but not any L rectangle.
If it is like that, than it is possible to incrementally create covers. Here is a simple algorithm for it.
covers = {A}
for each rectangle R
while there is a cover that intersects R, say C
remove C from covers and set R = cover of R and C
add R to covers
This code is not efficient in standard form. With good structure for covers structure, it can be efficient.
Here's the algorithm: http://goo.gl/aWDJo
You can read about finding the convex hull algorithms: http://ralph.cs.cf.ac.uk/papers/Geometry/boxing.pdf
I'd use the method suggested by #Damon but speed up neighbouring rectangle search with some spatial indexing structure, for example a quadtree or a grid. You'd need two of them, first built over the set of input rectangles, to search for intersecting rectangles to split, and second built over the set of split rectangles obtained in first step, to search adjacent rectangles to merge. That should speed things up considerably compared to the naive approach.