Fixed function registration when function is not a bean

spring-cloud-function-context/pom.xml

@@ -1,7 +1,7 @@
 <?xml version="1.0" encoding="UTF-8"?>
 <project xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
-		 xmlns="http://maven.apache.org/POM/4.0.0"
-		 xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 https://maven.apache.org/xsd/maven-4.0.0.xsd">
+	xmlns="http://maven.apache.org/POM/4.0.0"
+	xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 https://maven.apache.org/xsd/maven-4.0.0.xsd">
 	<modelVersion>4.0.0</modelVersion>
 
 	<artifactId>spring-cloud-function-context</artifactId>
@@ -58,6 +58,14 @@
 			<artifactId>reactor-test</artifactId>
 			<scope>test</scope>
 		</dependency>
+
+
+
+
+		<dependency>
+			<groupId>com.fasterxml.jackson.core</groupId>
+			<artifactId>jackson-databind</artifactId>
+		</dependency>
 	</dependencies>
 	<build>
 		<plugins>

spring-cloud-function-context/src/main/java/org/springframework/cloud/function/context/catalog/FunctionTypeConversionHelper.java

@@ -56,7 +56,7 @@ class FunctionTypeConversionHelper {
 			this.functionArgumentTypes = ((ParameterizedType)this.functionRegistration.getType().getType()).getActualTypeArguments();
 		}
 		else {
-			this.functionArgumentTypes  = new Type[] {this.functionRegistration.getType().getType()};
+			this.functionArgumentTypes  = new Type[] {this.functionRegistration.getType().getInputType()};
 		}
 	}
 

spring-cloud-function-context/src/main/java/org/springframework/cloud/function/context/catalog/LazyFunctionRegistry.java

@@ -118,6 +118,9 @@ public class LazyFunctionRegistry implements FunctionRegistry, FunctionInspector
 	@Override
 	public <T> void register(FunctionRegistration<T> registration) {
 		this.registrationsByFunction.put(registration.getTarget(), (FunctionRegistration<Object>) registration);
+		for (String name : registration.getNames()) {
+			this.registrationsByName.put(name, (FunctionRegistration<Object>) registration);
+		}
 	}
 
 	@Override

spring-cloud-function-context/src/main/java/org/springframework/cloud/function/context/config/ContextFunctionCatalogAutoConfiguration.java

@@ -92,10 +92,10 @@ public class ContextFunctionCatalogAutoConfiguration {
 
 	static final String PREFERRED_MAPPER_PROPERTY = "spring.http.converters.preferred-json-mapper";
 
-//	@Bean
-//	public FunctionRegistry functionCatalog() {
-//		return new BeanFactoryFunctionCatalog();
-//	}
+	//@Bean
+	public FunctionRegistry functionCatalog() {
+		return new BeanFactoryFunctionCatalog();
+	}
 
 	@Bean
 	public FunctionRegistry functionCatalog(@Nullable ConversionService conversionService, @Nullable CompositeMessageConverter messageConverter,