Add material, reflection and so on. Also use IntelliJ
This commit is contained in:
parent
753f8b721a
commit
b0a4f766b4
21 changed files with 622 additions and 132 deletions
27
.gitignore
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.gitignore
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.idea/
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.gradle
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*.tga
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build/
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!gradle/wrapper/gradle-wrapper.jar
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!**/src/main/**/build/
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!**/src/test/**/build/
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### IntelliJ IDEA ###
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.idea/modules.xml
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.idea/jarRepositories.xml
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.idea/compiler.xml
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.idea/libraries/
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*.iws
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*.iml
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*.iml
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*.ipr
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out/
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out/
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!**/src/main/**/out/
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!**/src/test/**/out/
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### Kotlin ###
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.kotlin
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### Mac OS ###
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.DS_Store
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test.tga
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3
.idea/.gitignore
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.idea/.gitignore
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# Default ignored files
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/shelf/
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/workspace.xml
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.idea/.name
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.idea/.name
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Ray
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.idea/codeStyles/Project.xml
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.idea/codeStyles/Project.xml
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<component name="ProjectCodeStyleConfiguration">
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<code_scheme name="Project" version="173">
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<JetCodeStyleSettings>
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<option name="CODE_STYLE_DEFAULTS" value="KOTLIN_OFFICIAL" />
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</JetCodeStyleSettings>
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<codeStyleSettings language="kotlin">
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<option name="CODE_STYLE_DEFAULTS" value="KOTLIN_OFFICIAL" />
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</codeStyleSettings>
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</code_scheme>
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</component>
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.idea/codeStyles/codeStyleConfig.xml
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.idea/codeStyles/codeStyleConfig.xml
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<component name="ProjectCodeStyleConfiguration">
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<state>
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<option name="USE_PER_PROJECT_SETTINGS" value="true" />
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</state>
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</component>
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17
.idea/gradle.xml
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.idea/gradle.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="GradleMigrationSettings" migrationVersion="1" />
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<component name="GradleSettings">
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<option name="linkedExternalProjectsSettings">
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<GradleProjectSettings>
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<option name="externalProjectPath" value="$PROJECT_DIR$" />
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<option name="gradleJvm" value="17" />
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<option name="modules">
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<set>
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<option value="$PROJECT_DIR$" />
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</set>
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</option>
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</GradleProjectSettings>
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</option>
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</component>
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</project>
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6
.idea/kotlinc.xml
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.idea/kotlinc.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="KotlinJpsPluginSettings">
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<option name="version" value="2.0.21" />
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</component>
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</project>
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7
.idea/misc.xml
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.idea/misc.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ExternalStorageConfigurationManager" enabled="true" />
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<component name="ProjectRootManager" version="2" languageLevel="JDK_17" default="true" project-jdk-name="23" project-jdk-type="JavaSDK">
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<output url="file://$PROJECT_DIR$/out" />
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</component>
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</project>
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6
.idea/vcs.xml
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.idea/vcs.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="VcsDirectoryMappings">
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<mapping directory="" vcs="Git" />
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</component>
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</project>
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build.gradle.kts
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build.gradle.kts
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plugins {
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kotlin("jvm") version "2.0.21"
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}
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group = "org.example"
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version = "1.0-SNAPSHOT"
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repositories {
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mavenCentral()
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}
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dependencies {
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testImplementation(kotlin("test"))
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}
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tasks.test {
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useJUnitPlatform()
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}
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1
gradle.properties
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1
gradle.properties
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kotlin.code.style=official
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BIN
gradle/wrapper/gradle-wrapper.jar
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BIN
gradle/wrapper/gradle-wrapper.jar
vendored
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Binary file not shown.
6
gradle/wrapper/gradle-wrapper.properties
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6
gradle/wrapper/gradle-wrapper.properties
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#Wed Nov 20 18:10:35 CET 2024
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distributionBase=GRADLE_USER_HOME
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distributionPath=wrapper/dists
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distributionUrl=https\://services.gradle.org/distributions/gradle-8.10-bin.zip
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zipStoreBase=GRADLE_USER_HOME
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zipStorePath=wrapper/dists
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234
gradlew
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gradlew
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#!/bin/sh
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#
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# Copyright © 2015-2021 the original authors.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# https://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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#
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##############################################################################
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#
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# Gradle start up script for POSIX generated by Gradle.
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#
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# Important for running:
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#
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# (1) You need a POSIX-compliant shell to run this script. If your /bin/sh is
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# noncompliant, but you have some other compliant shell such as ksh or
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# bash, then to run this script, type that shell name before the whole
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# command line, like:
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#
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# ksh Gradle
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#
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# Busybox and similar reduced shells will NOT work, because this script
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# requires all of these POSIX shell features:
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# * functions;
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# * expansions «$var», «${var}», «${var:-default}», «${var+SET}»,
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# «${var#prefix}», «${var%suffix}», and «$( cmd )»;
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# * compound commands having a testable exit status, especially «case»;
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# * various built-in commands including «command», «set», and «ulimit».
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#
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# Important for patching:
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#
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# (2) This script targets any POSIX shell, so it avoids extensions provided
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# by Bash, Ksh, etc; in particular arrays are avoided.
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#
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# The "traditional" practice of packing multiple parameters into a
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# space-separated string is a well documented source of bugs and security
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# problems, so this is (mostly) avoided, by progressively accumulating
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# options in "$@", and eventually passing that to Java.
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#
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# Where the inherited environment variables (DEFAULT_JVM_OPTS, JAVA_OPTS,
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# and GRADLE_OPTS) rely on word-splitting, this is performed explicitly;
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# see the in-line comments for details.
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#
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# There are tweaks for specific operating systems such as AIX, CygWin,
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# Darwin, MinGW, and NonStop.
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#
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# (3) This script is generated from the Groovy template
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# https://github.com/gradle/gradle/blob/master/subprojects/plugins/src/main/resources/org/gradle/api/internal/plugins/unixStartScript.txt
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# within the Gradle project.
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#
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# You can find Gradle at https://github.com/gradle/gradle/.
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#
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##############################################################################
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# Attempt to set APP_HOME
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# Resolve links: $0 may be a link
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app_path=$0
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# Need this for daisy-chained symlinks.
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while
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APP_HOME=${app_path%"${app_path##*/}"} # leaves a trailing /; empty if no leading path
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[ -h "$app_path" ]
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do
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ls=$( ls -ld "$app_path" )
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link=${ls#*' -> '}
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case $link in #(
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/*) app_path=$link ;; #(
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*) app_path=$APP_HOME$link ;;
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esac
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done
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APP_HOME=$( cd "${APP_HOME:-./}" && pwd -P ) || exit
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APP_NAME="Gradle"
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APP_BASE_NAME=${0##*/}
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# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
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DEFAULT_JVM_OPTS='"-Xmx64m" "-Xms64m"'
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# Use the maximum available, or set MAX_FD != -1 to use that value.
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MAX_FD=maximum
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warn () {
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echo "$*"
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} >&2
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die () {
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echo
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echo "$*"
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echo
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exit 1
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} >&2
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# OS specific support (must be 'true' or 'false').
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cygwin=false
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msys=false
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darwin=false
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nonstop=false
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case "$( uname )" in #(
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CYGWIN* ) cygwin=true ;; #(
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Darwin* ) darwin=true ;; #(
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MSYS* | MINGW* ) msys=true ;; #(
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NONSTOP* ) nonstop=true ;;
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esac
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CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar
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# Determine the Java command to use to start the JVM.
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if [ -n "$JAVA_HOME" ] ; then
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if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
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# IBM's JDK on AIX uses strange locations for the executables
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JAVACMD=$JAVA_HOME/jre/sh/java
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||||||
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else
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JAVACMD=$JAVA_HOME/bin/java
|
||||||
|
fi
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||||||
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if [ ! -x "$JAVACMD" ] ; then
|
||||||
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die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME
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||||||
|
Please set the JAVA_HOME variable in your environment to match the
|
||||||
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location of your Java installation."
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||||||
|
fi
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||||||
|
else
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||||||
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JAVACMD=java
|
||||||
|
which java >/dev/null 2>&1 || die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
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||||||
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|
||||||
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Please set the JAVA_HOME variable in your environment to match the
|
||||||
|
location of your Java installation."
|
||||||
|
fi
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||||||
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||||||
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# Increase the maximum file descriptors if we can.
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||||||
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if ! "$cygwin" && ! "$darwin" && ! "$nonstop" ; then
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case $MAX_FD in #(
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||||||
|
max*)
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||||||
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MAX_FD=$( ulimit -H -n ) ||
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||||||
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warn "Could not query maximum file descriptor limit"
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||||||
|
esac
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||||||
|
case $MAX_FD in #(
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|
'' | soft) :;; #(
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*)
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||||||
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ulimit -n "$MAX_FD" ||
|
||||||
|
warn "Could not set maximum file descriptor limit to $MAX_FD"
|
||||||
|
esac
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||||||
|
fi
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|
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# Collect all arguments for the java command, stacking in reverse order:
|
||||||
|
# * args from the command line
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# * the main class name
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# * -classpath
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# * -D...appname settings
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# * --module-path (only if needed)
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# * DEFAULT_JVM_OPTS, JAVA_OPTS, and GRADLE_OPTS environment variables.
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||||||
|
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||||||
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# For Cygwin or MSYS, switch paths to Windows format before running java
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if "$cygwin" || "$msys" ; then
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APP_HOME=$( cygpath --path --mixed "$APP_HOME" )
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||||||
|
CLASSPATH=$( cygpath --path --mixed "$CLASSPATH" )
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|
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||||||
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JAVACMD=$( cygpath --unix "$JAVACMD" )
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||||||
|
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||||||
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# Now convert the arguments - kludge to limit ourselves to /bin/sh
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for arg do
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if
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|
case $arg in #(
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||||||
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-*) false ;; # don't mess with options #(
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/?*) t=${arg#/} t=/${t%%/*} # looks like a POSIX filepath
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||||||
|
[ -e "$t" ] ;; #(
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||||||
|
*) false ;;
|
||||||
|
esac
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||||||
|
then
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||||||
|
arg=$( cygpath --path --ignore --mixed "$arg" )
|
||||||
|
fi
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||||||
|
# Roll the args list around exactly as many times as the number of
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|
# args, so each arg winds up back in the position where it started, but
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# possibly modified.
|
||||||
|
#
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||||||
|
# NB: a `for` loop captures its iteration list before it begins, so
|
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# changing the positional parameters here affects neither the number of
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# iterations, nor the values presented in `arg`.
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shift # remove old arg
|
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set -- "$@" "$arg" # push replacement arg
|
||||||
|
done
|
||||||
|
fi
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# Collect all arguments for the java command;
|
||||||
|
# * $DEFAULT_JVM_OPTS, $JAVA_OPTS, and $GRADLE_OPTS can contain fragments of
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|
# shell script including quotes and variable substitutions, so put them in
|
||||||
|
# double quotes to make sure that they get re-expanded; and
|
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# * put everything else in single quotes, so that it's not re-expanded.
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set -- \
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"-Dorg.gradle.appname=$APP_BASE_NAME" \
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-classpath "$CLASSPATH" \
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org.gradle.wrapper.GradleWrapperMain \
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"$@"
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# Use "xargs" to parse quoted args.
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#
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||||||
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# With -n1 it outputs one arg per line, with the quotes and backslashes removed.
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#
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# In Bash we could simply go:
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#
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# readarray ARGS < <( xargs -n1 <<<"$var" ) &&
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# set -- "${ARGS[@]}" "$@"
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#
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# but POSIX shell has neither arrays nor command substitution, so instead we
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# post-process each arg (as a line of input to sed) to backslash-escape any
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# character that might be a shell metacharacter, then use eval to reverse
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# that process (while maintaining the separation between arguments), and wrap
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# the whole thing up as a single "set" statement.
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#
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||||||
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# This will of course break if any of these variables contains a newline or
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# an unmatched quote.
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#
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eval "set -- $(
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printf '%s\n' "$DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS" |
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||||||
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xargs -n1 |
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sed ' s~[^-[:alnum:]+,./:=@_]~\\&~g; ' |
|
||||||
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tr '\n' ' '
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)" '"$@"'
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||||||
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exec "$JAVACMD" "$@"
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89
gradlew.bat
vendored
Normal file
89
gradlew.bat
vendored
Normal file
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@ -0,0 +1,89 @@
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@rem
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@rem Copyright 2015 the original author or authors.
|
||||||
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@rem
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||||||
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@rem Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
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@rem you may not use this file except in compliance with the License.
|
||||||
|
@rem You may obtain a copy of the License at
|
||||||
|
@rem
|
||||||
|
@rem https://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
@rem
|
||||||
|
@rem Unless required by applicable law or agreed to in writing, software
|
||||||
|
@rem distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
@rem WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
@rem See the License for the specific language governing permissions and
|
||||||
|
@rem limitations under the License.
|
||||||
|
@rem
|
||||||
|
|
||||||
|
@if "%DEBUG%" == "" @echo off
|
||||||
|
@rem ##########################################################################
|
||||||
|
@rem
|
||||||
|
@rem Gradle startup script for Windows
|
||||||
|
@rem
|
||||||
|
@rem ##########################################################################
|
||||||
|
|
||||||
|
@rem Set local scope for the variables with windows NT shell
|
||||||
|
if "%OS%"=="Windows_NT" setlocal
|
||||||
|
|
||||||
|
set DIRNAME=%~dp0
|
||||||
|
if "%DIRNAME%" == "" set DIRNAME=.
|
||||||
|
set APP_BASE_NAME=%~n0
|
||||||
|
set APP_HOME=%DIRNAME%
|
||||||
|
|
||||||
|
@rem Resolve any "." and ".." in APP_HOME to make it shorter.
|
||||||
|
for %%i in ("%APP_HOME%") do set APP_HOME=%%~fi
|
||||||
|
|
||||||
|
@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
|
||||||
|
set DEFAULT_JVM_OPTS="-Xmx64m" "-Xms64m"
|
||||||
|
|
||||||
|
@rem Find java.exe
|
||||||
|
if defined JAVA_HOME goto findJavaFromJavaHome
|
||||||
|
|
||||||
|
set JAVA_EXE=java.exe
|
||||||
|
%JAVA_EXE% -version >NUL 2>&1
|
||||||
|
if "%ERRORLEVEL%" == "0" goto execute
|
||||||
|
|
||||||
|
echo.
|
||||||
|
echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
|
||||||
|
echo.
|
||||||
|
echo Please set the JAVA_HOME variable in your environment to match the
|
||||||
|
echo location of your Java installation.
|
||||||
|
|
||||||
|
goto fail
|
||||||
|
|
||||||
|
:findJavaFromJavaHome
|
||||||
|
set JAVA_HOME=%JAVA_HOME:"=%
|
||||||
|
set JAVA_EXE=%JAVA_HOME%/bin/java.exe
|
||||||
|
|
||||||
|
if exist "%JAVA_EXE%" goto execute
|
||||||
|
|
||||||
|
echo.
|
||||||
|
echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME%
|
||||||
|
echo.
|
||||||
|
echo Please set the JAVA_HOME variable in your environment to match the
|
||||||
|
echo location of your Java installation.
|
||||||
|
|
||||||
|
goto fail
|
||||||
|
|
||||||
|
:execute
|
||||||
|
@rem Setup the command line
|
||||||
|
|
||||||
|
set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
|
||||||
|
|
||||||
|
|
||||||
|
@rem Execute Gradle
|
||||||
|
"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %*
|
||||||
|
|
||||||
|
:end
|
||||||
|
@rem End local scope for the variables with windows NT shell
|
||||||
|
if "%ERRORLEVEL%"=="0" goto mainEnd
|
||||||
|
|
||||||
|
:fail
|
||||||
|
rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
|
||||||
|
rem the _cmd.exe /c_ return code!
|
||||||
|
if not "" == "%GRADLE_EXIT_CONSOLE%" exit 1
|
||||||
|
exit /b 1
|
||||||
|
|
||||||
|
:mainEnd
|
||||||
|
if "%OS%"=="Windows_NT" endlocal
|
||||||
|
|
||||||
|
:omega
|
2
settings.gradle.kts
Normal file
2
settings.gradle.kts
Normal file
|
@ -0,0 +1,2 @@
|
||||||
|
rootProject.name = "Ray"
|
||||||
|
|
130
src/Ray.kt
130
src/Ray.kt
|
@ -1,130 +0,0 @@
|
||||||
import java.io.File
|
|
||||||
import java.lang.Float.max
|
|
||||||
import kotlin.math.min
|
|
||||||
import kotlin.math.pow
|
|
||||||
import kotlin.math.sqrt
|
|
||||||
|
|
||||||
data class Hit(val point: Point, val normal: Vector, val distance: Float, val color: MaterialColor)
|
|
||||||
|
|
||||||
data class MaterialColor(val r: Float, val g: Float, val b: Float) {
|
|
||||||
fun toColor(): Color = Color(
|
|
||||||
(r * UByte.MAX_VALUE.toFloat()).toInt().toUByte(),
|
|
||||||
(g * UByte.MAX_VALUE.toFloat()).toInt().toUByte(),
|
|
||||||
(b * UByte.MAX_VALUE.toFloat()).toInt().toUByte()
|
|
||||||
)
|
|
||||||
|
|
||||||
operator fun times(rhs: MaterialColor) = MaterialColor(r * rhs.r, g * rhs.g, b * rhs.b)
|
|
||||||
operator fun plus(rhs: MaterialColor) = MaterialColor(r + rhs.r, g + rhs.g, b + rhs.b)
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun Float.times(rhs: MaterialColor) = MaterialColor(this * rhs.r, this * rhs.g, this * rhs.b)
|
|
||||||
|
|
||||||
data class Ray(val origin: Point, val direction: Vector) {
|
|
||||||
fun at(t: Float) = origin + t * direction
|
|
||||||
}
|
|
||||||
|
|
||||||
interface Thing {
|
|
||||||
fun intersects(ray: Ray): Hit?
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
data class Plane(val point: Point, val normal: Vector, val color: MaterialColor) : Thing {
|
|
||||||
override fun intersects(ray: Ray): Hit? {
|
|
||||||
val bottom = dot(normal, ray.direction)
|
|
||||||
if (bottom == 0.0f) return null
|
|
||||||
val t = dot(normal, point - ray.origin) / bottom
|
|
||||||
if (t <= 0.0f) return null
|
|
||||||
return Hit(ray.at(t), normal, t, color)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
data class Sphere(val center: Point, val radius: Float, val color: MaterialColor) : Thing {
|
|
||||||
override fun intersects(ray: Ray): Hit? {
|
|
||||||
val l = center - ray.origin
|
|
||||||
val tc = dot(l, ray.direction)
|
|
||||||
if (tc < 0f) return null
|
|
||||||
|
|
||||||
val d = l.squaredLength - tc * tc
|
|
||||||
val radiusSquared = radius * radius
|
|
||||||
|
|
||||||
if (d > radiusSquared) return null
|
|
||||||
|
|
||||||
val thc = sqrt(radiusSquared - d)
|
|
||||||
|
|
||||||
val t = min(tc - thc, tc + thc)
|
|
||||||
|
|
||||||
val hitPoint = ray.at(t)
|
|
||||||
return Hit(hitPoint, (hitPoint - center).normalized(), t, color)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
fun dot(lhs: Vector, rhs: Vector): Float = lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z
|
|
||||||
|
|
||||||
data class PointLight(val point: Point, val color: MaterialColor)
|
|
||||||
|
|
||||||
data class Scene(val things: List<Thing>): Thing {
|
|
||||||
override fun intersects(ray: Ray): Hit? {
|
|
||||||
var closest: Hit? = null
|
|
||||||
for (thing in things) {
|
|
||||||
val hit = thing.intersects(ray)
|
|
||||||
if (hit != null && (closest == null || hit.distance < closest.distance)) {
|
|
||||||
closest = hit
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return closest
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
fun main() {
|
|
||||||
val bmp = Bitmap(1000, 1000)
|
|
||||||
val origin = Point(500f, 500f, -500f)
|
|
||||||
|
|
||||||
val sphere = Sphere(Point(500f, 500f, 500f), radius = 500f, color = MaterialColor(0f, 1.0f, 0f))
|
|
||||||
val plane = Plane(
|
|
||||||
Point(0f, -1000f, 0f),
|
|
||||||
normal = Vector(0f, 1f, 0f),
|
|
||||||
color = MaterialColor(0.5f, 0.5f, 0.5f)
|
|
||||||
)
|
|
||||||
|
|
||||||
val leftPlane = Plane(
|
|
||||||
Point(-1000f, 0f, 0f),
|
|
||||||
Vector(1f, 0f, 0f),
|
|
||||||
color = MaterialColor(0.9f, 0.9f, 0.5f)
|
|
||||||
)
|
|
||||||
|
|
||||||
val scene = Scene(listOf(sphere, plane, leftPlane))
|
|
||||||
|
|
||||||
val ambient = MaterialColor(0.1f, 0.1f, 0.1f)
|
|
||||||
|
|
||||||
val light = PointLight(Point(1000f, 1000f, -500f), color = MaterialColor(0.5f, 0.5f, 0.5f))
|
|
||||||
val specular = 100f
|
|
||||||
|
|
||||||
for (y in 0 until bmp.height) {
|
|
||||||
for (x in 0 until bmp.width) {
|
|
||||||
val point = Point(x.toFloat(), y.toFloat(), 0f)
|
|
||||||
val ray = origin.rayTo(point)
|
|
||||||
|
|
||||||
val hit = scene.intersects(ray)
|
|
||||||
if (hit != null) {
|
|
||||||
var color = hit.color * ambient
|
|
||||||
|
|
||||||
val rayToLight = (hit.point + 0.0001f * hit.normal).rayTo(light.point)
|
|
||||||
if (scene.intersects(rayToLight) == null) {
|
|
||||||
|
|
||||||
val lambert = max(0f, dot(hit.normal, rayToLight.direction))
|
|
||||||
color += lambert * light.color
|
|
||||||
|
|
||||||
val h = (-ray.direction + rayToLight.direction).normalized()
|
|
||||||
|
|
||||||
val intensity = dot(hit.normal, h).pow(specular)
|
|
||||||
|
|
||||||
color += intensity * MaterialColor(0.3f, 0f, 0f)
|
|
||||||
}
|
|
||||||
|
|
||||||
bmp.setPixel(x, y, color.toColor())
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
File("test.tga").writeBitmap(bmp)
|
|
||||||
}
|
|
190
src/main/kotlin/Ray.kt
Normal file
190
src/main/kotlin/Ray.kt
Normal file
|
@ -0,0 +1,190 @@
|
||||||
|
import java.io.File
|
||||||
|
import java.lang.Float.max
|
||||||
|
import kotlin.math.min
|
||||||
|
import kotlin.math.pow
|
||||||
|
import kotlin.math.sqrt
|
||||||
|
|
||||||
|
data class Hit(val point: Point, val normal: Vector, val distance: Float, val material: Material)
|
||||||
|
|
||||||
|
data class MaterialColor(val r: Float, val g: Float, val b: Float) {
|
||||||
|
fun toColor(): Color = Color(
|
||||||
|
(r * UByte.MAX_VALUE.toFloat()).toInt().toUByte(),
|
||||||
|
(g * UByte.MAX_VALUE.toFloat()).toInt().toUByte(),
|
||||||
|
(b * UByte.MAX_VALUE.toFloat()).toInt().toUByte()
|
||||||
|
)
|
||||||
|
|
||||||
|
operator fun times(rhs: MaterialColor) = MaterialColor(r * rhs.r, g * rhs.g, b * rhs.b)
|
||||||
|
operator fun plus(rhs: MaterialColor) = MaterialColor(r + rhs.r, g + rhs.g, b + rhs.b)
|
||||||
|
|
||||||
|
companion object {
|
||||||
|
val Black: MaterialColor = MaterialColor(0f, 0f, 0f)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun Float.times(rhs: MaterialColor) = MaterialColor(this * rhs.r, this * rhs.g, this * rhs.b)
|
||||||
|
|
||||||
|
data class Ray(val origin: Point, val direction: Vector) {
|
||||||
|
fun at(t: Float) = origin + t * direction
|
||||||
|
}
|
||||||
|
|
||||||
|
interface Thing {
|
||||||
|
fun intersects(ray: Ray): Hit?
|
||||||
|
}
|
||||||
|
|
||||||
|
interface Material {
|
||||||
|
fun shade(ray: Ray, hit: Hit, scene: Scene): MaterialColor
|
||||||
|
}
|
||||||
|
|
||||||
|
data class WhateverMaterial(val color: MaterialColor,
|
||||||
|
val ambient: MaterialColor = MaterialColor(0.1f, 0.1f, 0.1f),
|
||||||
|
val specular: Float = 100f
|
||||||
|
): Material {
|
||||||
|
override fun shade(ray: Ray, hit: Hit, scene: Scene): MaterialColor {
|
||||||
|
var color = this.color * ambient
|
||||||
|
val light = scene.light
|
||||||
|
val rayToLight = (hit.point + 0.0001f * hit.normal).rayTo(light.point)
|
||||||
|
if (scene.intersects(rayToLight) == null) {
|
||||||
|
|
||||||
|
val lambert = max(0f, dot(hit.normal, rayToLight.direction))
|
||||||
|
color += lambert * light.color
|
||||||
|
|
||||||
|
val h = (-ray.direction + rayToLight.direction).normalized()
|
||||||
|
|
||||||
|
val intensity = dot(hit.normal, h).pow(specular)
|
||||||
|
|
||||||
|
color += intensity * MaterialColor(0.3f, 0f, 0f)
|
||||||
|
}
|
||||||
|
|
||||||
|
return color
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
data class ReflectiveMaterial(
|
||||||
|
val reflectivity: Float,
|
||||||
|
val color: MaterialColor,
|
||||||
|
val ambient: MaterialColor = MaterialColor(0.1f, 0.1f, 0.1f),
|
||||||
|
val specular: Float = 10f
|
||||||
|
): Material {
|
||||||
|
override fun shade(ray: Ray, hit: Hit, scene: Scene): MaterialColor {
|
||||||
|
var color = this.color * ambient
|
||||||
|
val light = scene.light
|
||||||
|
val offsetPoint = hit.point + 0.0001f * hit.normal
|
||||||
|
val rayToLight = offsetPoint.rayTo(light.point)
|
||||||
|
if (scene.intersects(rayToLight) == null) {
|
||||||
|
|
||||||
|
val lambert = max(0f, dot(hit.normal, rayToLight.direction))
|
||||||
|
color += lambert * light.color
|
||||||
|
|
||||||
|
val h = (-ray.direction + rayToLight.direction).normalized()
|
||||||
|
|
||||||
|
val intensity = (hit.normal dot h).pow(specular)
|
||||||
|
|
||||||
|
color += intensity * MaterialColor(0.3f, 0f, 0f)
|
||||||
|
}
|
||||||
|
|
||||||
|
val reflectionDirection = ray.direction - 2 * (ray.direction dot hit.normal) * hit.normal
|
||||||
|
val reflectedColor = scene.colorForRay(Ray(offsetPoint, reflectionDirection)) ?: MaterialColor.Black
|
||||||
|
|
||||||
|
return (1.0f - reflectivity) * color + reflectivity * reflectedColor
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
data class Plane(val point: Point, val normal: Vector, val material: Material) : Thing {
|
||||||
|
override fun intersects(ray: Ray): Hit? {
|
||||||
|
val bottom = dot(normal, ray.direction)
|
||||||
|
if (bottom == 0.0f) return null
|
||||||
|
val t = dot(normal, point - ray.origin) / bottom
|
||||||
|
if (t <= 0.0f) return null
|
||||||
|
return Hit(ray.at(t), normal, t, material)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
data class Sphere(val center: Point, val radius: Float, val material: Material) : Thing {
|
||||||
|
override fun intersects(ray: Ray): Hit? {
|
||||||
|
val l = center - ray.origin
|
||||||
|
val tc = dot(l, ray.direction)
|
||||||
|
if (tc < 0f) return null
|
||||||
|
|
||||||
|
val d = l.squaredLength - tc * tc
|
||||||
|
val radiusSquared = radius * radius
|
||||||
|
|
||||||
|
if (d > radiusSquared) return null
|
||||||
|
|
||||||
|
val thc = sqrt(radiusSquared - d)
|
||||||
|
|
||||||
|
val t = min(tc - thc, tc + thc)
|
||||||
|
|
||||||
|
val hitPoint = ray.at(t)
|
||||||
|
return Hit(hitPoint, (hitPoint - center).normalized(), t, material)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fun dot(lhs: Vector, rhs: Vector): Float = lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z
|
||||||
|
|
||||||
|
data class PointLight(val point: Point, val color: MaterialColor)
|
||||||
|
|
||||||
|
data class Scene(val things: List<Thing>, val light: PointLight): Thing {
|
||||||
|
override fun intersects(ray: Ray): Hit? {
|
||||||
|
var closest: Hit? = null
|
||||||
|
for (thing in things) {
|
||||||
|
val hit = thing.intersects(ray)
|
||||||
|
if (hit != null && (closest == null || hit.distance < closest.distance)) {
|
||||||
|
closest = hit
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return closest
|
||||||
|
}
|
||||||
|
|
||||||
|
fun colorForRay(ray: Ray): MaterialColor? {
|
||||||
|
val hit = intersects(ray)
|
||||||
|
if (hit != null) {
|
||||||
|
return hit.material.shade(ray, hit, this)
|
||||||
|
}
|
||||||
|
return null
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fun main() {
|
||||||
|
val bmp = Bitmap(1000, 1000)
|
||||||
|
val origin = Point(500f, 500f, -500f)
|
||||||
|
|
||||||
|
val sphere = Sphere(Point(500f, 500f, 500f), radius = 500f, material = ReflectiveMaterial(reflectivity = 0.2f, MaterialColor(0f, 1.0f, 0f)))
|
||||||
|
val sphere2 = Sphere(Point(0f, 500f, 50f), radius = 50f, material = ReflectiveMaterial(reflectivity = 0.2f, MaterialColor(1.0f, 0.0f, 0.1f)))
|
||||||
|
|
||||||
|
val plane = Plane(
|
||||||
|
Point(0f, -1000f, 0f),
|
||||||
|
normal = Vector(0f, 1f, 0f),
|
||||||
|
material = WhateverMaterial(MaterialColor(1f, 0.0f, 0.0f))
|
||||||
|
)
|
||||||
|
|
||||||
|
val leftPlane = Plane(
|
||||||
|
Point(-1000f, 0f, 0f),
|
||||||
|
Vector(1f, 0f, 0f),
|
||||||
|
material = WhateverMaterial(MaterialColor(0.0f, 1f, 0.0f))
|
||||||
|
)
|
||||||
|
|
||||||
|
val light = PointLight(Point(1000f, 1000f, -500f), color = 0.2f * MaterialColor(0.9f, 0.9f, 0.9f))
|
||||||
|
|
||||||
|
val scene = Scene(listOf(
|
||||||
|
sphere,
|
||||||
|
sphere2,
|
||||||
|
plane,
|
||||||
|
leftPlane
|
||||||
|
), light = light)
|
||||||
|
|
||||||
|
|
||||||
|
for (y in 0 until bmp.height) {
|
||||||
|
for (x in 0 until bmp.width) {
|
||||||
|
val point = Point(x.toFloat(), y.toFloat(), 0f)
|
||||||
|
val ray = origin.rayTo(point)
|
||||||
|
|
||||||
|
val color = scene.colorForRay(ray)
|
||||||
|
if (color != null) {
|
||||||
|
bmp.setPixel(x, y, color.toColor())
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
File("test.tga").writeBitmap(bmp)
|
||||||
|
}
|
|
@ -11,6 +11,8 @@ data class Vector(val x: Float, val y: Float, val z: Float) {
|
||||||
operator fun unaryMinus(): Vector = Vector(-x, -y, -z)
|
operator fun unaryMinus(): Vector = Vector(-x, -y, -z)
|
||||||
operator fun minus(rhs: Vector): Vector = Vector(x - rhs.x, y - rhs.y, z - rhs.z)
|
operator fun minus(rhs: Vector): Vector = Vector(x - rhs.x, y - rhs.y, z - rhs.z)
|
||||||
operator fun div(rhs: Float): Vector = Vector(x / rhs, y / rhs, z / rhs)
|
operator fun div(rhs: Float): Vector = Vector(x / rhs, y / rhs, z / rhs)
|
||||||
|
|
||||||
|
infix fun dot(rhs: Vector): Float = x * rhs.x + y * rhs.y + z * rhs.z
|
||||||
}
|
}
|
||||||
|
|
||||||
operator fun Float.times(rhs: Vector): Vector = rhs * this
|
operator fun Float.times(rhs: Vector): Vector = rhs * this
|
Loading…
Add table
Reference in a new issue