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Add pixel perfect coordinates transformations
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files/libraries/coordinates.lua
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227
files/libraries/coordinates.lua
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-- Copyright (c) 2022 David Vogel
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--
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-- This software is released under the MIT License.
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-- https://opensource.org/licenses/MIT
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-- Viewport coordinates transformation (world <-> window) for Noita.
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---@type Vec2
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local Vec2 = dofile_once("mods/noita-mapcap/files/libraries/vec2.lua")
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---@type NoitaAPI
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local NoitaAPI = dofile_once("mods/noita-mapcap/files/libraries/noita-api.lua")
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---@class Coords
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---@field InternalResolution Vec2
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---@field WindowResolution Vec2
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---@field VirtualResolution Vec2
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local Coords = {
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InternalResolution = Vec2(0, 0),
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WindowResolution = Vec2(0, 0),
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VirtualResolution = Vec2(0, 0),
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}
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---Returns the size of the internal rectangle in window/screen coordinates.
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---The internal rect is always uniformly scaled to fit inside the window rectangle.
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---@return Vec2
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function Coords:InternalRectSize()
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return self.InternalResolution * math.min(self.WindowResolution.x / self.InternalResolution.x, self.WindowResolution.y / self.InternalResolution.y)
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end
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---Returns the window coordinates of the internal rectangle in window/screen coordinates.
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---This rectangle is centered and scaled to fit exactly into the window rectangle.
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---@return Vec2 topLeft
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---@return Vec2 bottomRight -- These coordinates are outside of the rectangle.
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function Coords:InternalRect()
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local internalRectSize = self:InternalRectSize()
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-- Center rectangle and return corner points.
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---@type Vec2
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local halfDifference = (self.WindowResolution - internalRectSize) / 2
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return halfDifference, internalRectSize + halfDifference
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end
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---Returns the virtual rectangle coordinates in window/screen coordinates.
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---This is the rectangle that has all chunks and terrain rendered correctly.
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---The rectangle may be larger than the screen, though.
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---@return Vec2 topLeft
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---@return Vec2 bottomRight -- These coordinates are outside of the rectangle.
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function Coords:VirtualRect()
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local internalTopLeft, internalBottomRight = self:InternalRect()
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return internalTopLeft, internalTopLeft + self.VirtualResolution * self:PixelScale()
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end
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---Returns the rectangle that contains valid rendered terrain and chunks.
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---This is cropped to the internal rectangle, and can be used to determine the usable area of window screenshots.
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---@return Vec2 topLeft
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---@return Vec2 bottomRight -- These coordinates are outside of the rectangle.
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function Coords:ValidRenderingRect()
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local internalTopLeft, internalBottomRight = self:InternalRect()
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local virtualTopLeft, virtualBottomRight = self:VirtualRect()
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return virtualTopLeft, Vec2(math.min(virtualBottomRight.x, internalBottomRight.x), math.min(virtualBottomRight.y, internalBottomRight.y))
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end
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---Returns the ratio of window pixels per world pixels.
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---As pixels are always square, this returns just a single number.
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---@return number
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function Coords:PixelScale()
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local internalRectSize = self:InternalRectSize()
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-- The virtual rectangle is always scaled to fit horizontally.
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return internalRectSize.x / self.VirtualResolution.x
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end
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---Converts the given virtual/world coordinates into window/screen coordinates.
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---@param world Vec2 -- World coordiante, origin is near the cave entrance.
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---@param viewportCenter Vec2|nil -- Result of `GameGetCameraPos()`. Will be queried automatically if set to nil.
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---@return Vec2 window
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function Coords:ToWindow(world, viewportCenter)
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viewportCenter = viewportCenter or NoitaAPI.Camera.Pos()
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local internalTopLeft, internalBottomRight = self:InternalRect()
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local pixelScale = self:PixelScale()
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return internalTopLeft + (self.VirtualResolution / 2 + world - viewportCenter) * pixelScale
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end
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---Converts the given window coordinates into world/virtual coordinates.
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---@param window Vec2 -- In screen pixels, origin is at the top left of the window client area.
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---@param viewportCenter Vec2|nil -- Result of `GameGetCameraPos()`. Will be queried automatically if set to nil.
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---@return Vec2 world
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function Coords:ToWorld(window, viewportCenter)
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viewportCenter = viewportCenter or NoitaAPI.Camera.Pos()
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local internalTopLeft, internalBottomRight = self:InternalRect()
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local pixelScale = self:PixelScale()
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return viewportCenter - self.VirtualResolution / 2 + (window - internalTopLeft) / pixelScale
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end
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-------------
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-- Testing --
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-------------
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---Values to test the coordinate transformations.
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---
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--- Configuration (`...\save_shared\config.xml`) parameters:
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--- - `backbuffer_width`, `backbuffer_height`: The resolution for the final pixel shader, or something like that. Lowering this will not change the coordinate system, but make everything look more pixelated. The backbuffer size should be set at least to the internal resolution, Noita sets it to the window resolution.
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--- - `internal_size_w`, `internal_size_h`: The rectangle that all window content will be displayed in. If the window ratio is different than the internal size ratio, there will be black bars either at the top and bottom, or left and right.
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--- - `window_w`, `window_h`: The window client area size in pixels, duh.
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---
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--- Magic numbers (`.\mods\noita-mapcap\files\magic_numbers.xml`):
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--- - `VIRTUAL_RESOLUTION_X`, `VIRTUAL_RESOLUTION_X`: The resolution of the rendered world.
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--- - `VIRTUAL_RESOLUTION_OFFSET_X`, `VIRTUAL_RESOLUTION_OFFSET_Y`: Offset of the world/virtual coordinate system, has to be set to `-2, 0` to map pixel exact to the screen.
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---
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--- Table contents:
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---
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--- - `InternalRes`, `WindowRes`, `VirtualRes` -- are the settings from the above mentioned config files.
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--- - `WindowTopLeft` contains the resulting world coordinates of the window's top left pixel with GameSetCameraPos(0, 0).
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--- - `WindowCenter` contains the resulting world coordinates of the window's center pixel with GameSetCameraPos(0, 0).
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--- - `RenderedTopLeft`, `RenderedBottomRight` describe the rectangle in world coordinates that contains correctly rendered chunks. Everything outside this rectangle may either just be a blank background image or completely black.
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local testTable = {
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-512, -512), WindowCenter = Vec2(0, 0), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 512) },
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(512, 1024), WindowTopLeft = Vec2(-256, -512), WindowCenter = Vec2(0, -256), RenderedTopLeft = Vec2(-256, -512), RenderedBottomRight = Vec2(256, 0) },
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(1024, 512), WindowTopLeft = Vec2(-512, -256), WindowCenter = Vec2(0, 256), RenderedTopLeft = Vec2(-512, -256), RenderedBottomRight = Vec2(512, 256) },
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{ InternalRes = Vec2(512, 1024), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-1024, -512), WindowCenter = Vec2(0, 512), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 512) },
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{ InternalRes = Vec2(1024, 512), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-512, -768), WindowCenter = Vec2(0, -256), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 0) },
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(1024, 2048), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-512, -1024), WindowCenter = Vec2(0, 0), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 512) },
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(2048, 1024), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-1024, -512), WindowCenter = Vec2(0, 0), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 512) },
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{ InternalRes = Vec2(1024, 512), WindowRes = Vec2(1024, 512), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-512, -512), WindowCenter = Vec2(0, -256), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 0) },
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{ InternalRes = Vec2(2048, 1024), WindowRes = Vec2(2048, 1024), VirtualRes = Vec2(1024, 1024), WindowTopLeft = Vec2(-512, -512), WindowCenter = Vec2(0, -256), RenderedTopLeft = Vec2(-512, -512), RenderedBottomRight = Vec2(512, 0) },
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{ InternalRes = Vec2(2048, 1024), WindowRes = Vec2(2048, 1024), VirtualRes = Vec2(2048, 1024), WindowTopLeft = Vec2(-1024, -512), WindowCenter = Vec2(0, 0), RenderedTopLeft = Vec2(-1024, -512), RenderedBottomRight = Vec2(1024, 512) },
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{ InternalRes = Vec2(2048, 1024), WindowRes = Vec2(2048, 1024), VirtualRes = Vec2(512, 2048), WindowTopLeft = Vec2(-256, -1024), WindowCenter = Vec2(0, -896), RenderedTopLeft = Vec2(-256, -1024), RenderedBottomRight = Vec2(256, -768) },
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{ InternalRes = Vec2(2048, 1024), WindowRes = Vec2(2048, 1024), VirtualRes = Vec2(1024, 16), WindowTopLeft = Vec2(-512, -8), WindowCenter = Vec2(0, 248), RenderedTopLeft = Vec2(-512, -8), RenderedBottomRight = Vec2(512, 8) },
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{ InternalRes = Vec2(1024, 1024), WindowRes = Vec2(1024, 1024), VirtualRes = Vec2(32, 16), WindowTopLeft = Vec2(-16, -8), WindowCenter = Vec2(0, 8), RenderedTopLeft = Vec2(-16, -8), RenderedBottomRight = Vec2(16, 8) },
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{ InternalRes = Vec2(1280, 720), WindowRes = Vec2(1920, 1080), VirtualRes = Vec2(427, 242), WindowTopLeft = Vec2(-213.5, -121), WindowCenter = Vec2(0, -0.90625), RenderedTopLeft = Vec2(-213.5, -121), RenderedBottomRight = Vec2(213.5, 119.1875) },
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{ InternalRes = Vec2(1280, 720), WindowRes = Vec2(1920, 1200), VirtualRes = Vec2(427, 242), WindowTopLeft = Vec2(-213.5, -134.34375), WindowCenter = Vec2(0, -0.90625), RenderedTopLeft = Vec2(-213.5, -121), RenderedBottomRight = Vec2(213.5, 119.1875) },
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{ InternalRes = Vec2(1280, 720), WindowRes = Vec2(2048, 1080), VirtualRes = Vec2(427, 242), WindowTopLeft = Vec2(-227.73333, -121), WindowCenter = Vec2(0, -0.90625), RenderedTopLeft = Vec2(-213.5, -121), RenderedBottomRight = Vec2(213.5, 119.1875) },
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}
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---Tests all possible test cases.
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---Throws an error in case any test fails.
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local function testToWindow()
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for i, v in ipairs(testTable) do
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Coords.InternalResolution, Coords.WindowResolution, Coords.VirtualResolution = v.InternalRes, v.WindowRes, v.VirtualRes
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---@type Vec2
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local viewportCenter = Vec2(0, 0)
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---@type Vec2, Vec2
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local world, expected = v.WindowTopLeft, Vec2(0, 0)
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local window = Coords:ToWindow(world, viewportCenter)
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assert(window:EqualTo(expected, 0.001), string.format("test case %d: Coords:ToWindow(%q) failed. Got %q, expected %q", i, tostring(world), tostring(window), tostring(expected)))
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---@type Vec2, Vec2
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local world, expected = v.WindowCenter, v.WindowRes / 2
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local window = Coords:ToWindow(world, viewportCenter)
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assert(window:EqualTo(expected, 0.001), string.format("test case %d: Coords:ToWindow(%q) failed. Got %q, expected %q", i, tostring(world), tostring(window), tostring(expected)))
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end
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end
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---Tests all possible test cases.
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---Throws an error in case any test fails.
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local function testToWorld()
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for i, v in ipairs(testTable) do
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Coords.InternalResolution, Coords.WindowResolution, Coords.VirtualResolution = v.InternalRes, v.WindowRes, v.VirtualRes
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---@type Vec2
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local viewportCenter = Vec2(0, 0)
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---@type Vec2, Vec2
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local window, expected = Vec2(0, 0), v.WindowTopLeft
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local world = Coords:ToWorld(window, viewportCenter)
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assert(world:EqualTo(expected, 0.001), string.format("test case %d: Coords:ToWorld(%q) failed. Got %q, expected %q", i, tostring(window), tostring(world), tostring(expected)))
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---@type Vec2, Vec2
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local window, expected = v.WindowRes / 2, v.WindowCenter
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local world = Coords:ToWorld(window, viewportCenter)
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assert(world:EqualTo(expected, 0.001), string.format("test case %d: Coords:ToWorld(%q) failed. Got %q, expected %q", i, tostring(window), tostring(world), tostring(expected)))
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end
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end
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---Tests all possible test cases.
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---Throws an error in case any test fails.
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local function testValidRenderingRect()
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for i, v in ipairs(testTable) do
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Coords.InternalResolution, Coords.WindowResolution, Coords.VirtualResolution = v.InternalRes, v.WindowRes, v.VirtualRes
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---@type Vec2
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local viewportCenter = Vec2(0, 0)
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local expectedTopLeft, expectedBottomRight = v.RenderedTopLeft, v.RenderedBottomRight
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---@type Vec2, Vec2
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local validTopLeft, validBottomRight = Coords:ValidRenderingRect()
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local validTopLeftWorld, validBottomRightWorld = Coords:ToWorld(validTopLeft, viewportCenter), Coords:ToWorld(validBottomRight, viewportCenter)
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assert(validTopLeftWorld:EqualTo(expectedTopLeft, 0.001) and validBottomRightWorld:EqualTo(expectedBottomRight, 0.001),
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string.format("test case %d: Coords:ValidRenderingRect() failed. Got %q - %q, expected %q - %q",
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i, tostring(validTopLeftWorld), tostring(validBottomRightWorld), tostring(expectedTopLeft), tostring(expectedBottomRight)
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)
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)
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end
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end
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---Runs all tests of this module.
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local function testAll()
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local ok, err = pcall(testToWindow)
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if not ok then
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print(string.format("testToWindow failed: %s.", err))
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end
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local ok, err = pcall(testToWorld)
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if not ok then
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print(string.format("testToWorld failed: %s.", err))
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end
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local ok, err = pcall(testValidRenderingRect)
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if not ok then
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print(string.format("testValidRenderingRect failed: %s.", err))
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end
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end
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--testAll()
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return Coords
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