This macro applies a 2D rotation transformation to workpiece coordinates, which is essential when a part is fixtured at an angle on the CNC machine. It takes the rotation angle (in degrees) and the original X, Y, and Z c...

The `TransformWorkpieceCoordinates` macro takes an angle in degrees and input X, Y, Z coordinates. It first validates and normalizes the angle to be within 0-360 degrees. If the angle is 0 or 360, it directly assigns input to output coordinates, avoiding unnecessary calculations. Otherwise, it converts the angle to radians and computes its cosine and sine. The core transformation uses the 2D rotation matrix: `outputX = inputX * cos(angle) - inputY * sin(angle)` and `outputY = inputX * sin(angle) + inputY * cos(angle)`. The Z-coordinate remains unchanged. Helper functions `Modulo` and `Floor` are used for angle normalization. The time complexity is O(1) as it involves a fixed number of arithmetic and trigonometric operations. Space complexity is O(1) for its local variables.

FUNCTION TransformWorkpieceCoordinates(angleDegrees, inputX, inputY, inputZ, OUT outputX, OUT outputY, OUT outputZ): angleDegrees = Modulo(angleDegrees, 360.0) IF angleDegrees < 0 THEN angleDegrees += 360.0 IF angleDegre...

This macro system manages tool offset compensation and tracks tool wear for CNC machines. It allows for activation of tools, updating their offsets based on measured values, and recording their usage hours. The system al...

The system uses a `ToolData` structure to store offset values (X, Y, Z), current wear, total usage hours, and an active status for each tool. `InitializeToolRegistry` sets up default values. `ActivateTool` enables a tool and sets its initial offsets. `UpdateOffsetCompensation` compares measured offsets to commanded ones, updates the tool's offsets, and accumulates wear based on the correction magnitude. It checks against `MAX_WEAR_THRESHOLD`. `RecordToolUsage` adds to `TotalHours` and calculates remaining life against `TOOL_LIFE_HOURS`, warning if life is exceeded. `GetToolOffsets` retrieves data for a specific tool, performing validation. Error handling is implemented for invalid tool numbers, inactive tools, negative wear accumulation, and exceeding thresholds. The time complexity for most operations is O(1) as they access a specific tool's data directly. Space complexity is O(M), where M is `MAX_TOOLS`, due to the `ToolRegistry` array.

TYPE ToolData: OffsetX, OffsetY, OffsetZ, CurrentWear, TotalHours AS FLOAT IsActive AS BOOLEAN END TYPE DECLARE ToolRegistry[MAX_TOOLS] AS ToolData PROCEDURE InitializeToolRegistry(): FOR i FROM 1 TO MAX_TOOLS: ToolRegis...

This macro generates a circular pattern of holes, commonly used in manufacturing for bolt circles or component mounting. It takes the center coordinates, radius, and the desired number of holes as parameters. The macro c...

The `GenerateCircularHolePattern` macro utilizes basic trigonometry to determine the coordinates of each hole in a circular array. It first validates the input parameters, ensuring the radius is non-negative and the number of holes is positive. If invalid, it provides informative messages and exits. The core logic involves calculating the angular separation between holes (`angleStep`) and then iterating `numHoles` times. In each iteration, it uses `cos()` and `sin()` functions with the current angle and the given radius to find the relative offsets from the center. These offsets are added to the `centerX` and `centerY` to get the absolute hole coordinates. The loop invariant is that after `i` iterations, `i` holes have been correctly positioned. The time complexity is O(N), where N is the number of holes, as it performs a constant amount of work for each hole. Space complexity is O(1) as it only uses a few variables.

FUNCTION GenerateCircularHolePattern(centerX, centerY, radius, numHoles): IF radius < 0 THEN DISPLAY "Error: Radius cannot be negative." RETURN END IF IF numHoles <= 0 THEN DISPLAY "Warning: Number of holes is zero or ne...

This Fanuc macro subprogram is designed to machine a rectangular pocket with optional rounded corners. It accepts parameters defining the pocket's center, dimensions, depth, and corner radius. The subprogram calculates t...

The `PocketRectangular` subprogram first validates its input parameters, checking for positive dimensions, negative depth, and non-negative radius. It then determines a `toolRadius` (hardcoded for this example, but ideally a parameter) and adjusts the requested `P_R` if it's too large for the pocket dimensions and tool, preventing collisions. The pocket's start and end coordinates are calculated, considering the corner radius. The machining sequence involves moving to a safe Z height, then positioning to the pocket's starting contour point. It plunges to the specified depth (`P_D`) using a controlled feed (simulated by `G01`). The contour is then traced with a series of `MoveTo` and `ArcTo` (simulated `G02`) commands, creating straight edges and rounded corners. Finally, it retracts to a safe Z height and returns control. The time complexity is O(1) as it performs a fixed sequence of operations regardless of pocket size. Space complexity is O(1) for its local variables.

SUB PocketRectangular(P_X, P_Y, P_W, P_H, P_D, P_R): VALIDATE P_W > 0, P_H > 0, P_D < 0, P_R >= 0 IF validation fails THEN DISPLAY Error Message RETURN END IF toolRadius = GetToolRadius() // Placeholder IF P_R > (MIN(P_W...