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const { vtkErrorMacro } = macro;
// ----------------------------------------------------------------------------
// vtkPiecewiseFunction methods
// ----------------------------------------------------------------------------
function vtkPiecewiseFunction(publicAPI, model) {
// Set our className
model.classHierarchy.push('vtkPiecewiseFunction');
// Return the number of points which specify this function
publicAPI.getSize = () => model.nodes.length;
// Return the type of function stored in object:
// Function Types:
// 0 : Constant (No change in slope between end points)
// 1 : NonDecreasing (Always increasing or zero slope)
// 2 : NonIncreasing (Always decreasing or zero slope)
// 3 : Varied (Contains both decreasing and increasing slopes)
// 4 : Unknown (Error condition)
//
publicAPI.getType = () => {
let value;
let prevValue = 0.0;
let functionType = 0;
if (model.nodes.length > 0) {
prevValue = model.nodes[0].y;
}
for (let i = 1; i < model.nodes.length; i++) {
value = model.nodes[i].y;
// Do not change the function type if equal
if (value !== prevValue) {
if (value > prevValue) {
switch (functionType) {
case 0:
case 1:
// NonDecreasing
functionType = 1;
break;
case 2:
default:
// Varied
functionType = 3;
break;
}
} else {
// value < prev_value
switch (functionType) {
case 0:
case 2:
// NonIncreasing
functionType = 2;
break;
case 1:
default:
// Varied
functionType = 3;
break;
}
}
}
prevValue = value;
// Exit loop if we find a Varied function
if (functionType === 3) {
break;
}
}
switch (functionType) {
case 0:
return 'Constant';
case 1:
return 'NonDecreasing';
case 2:
return 'NonIncreasing';
case 3:
default:
return 'Varied';
}
};
// Since we no longer store the data in an array, we must
// copy out of the vector into an array. No modified check -
// could be added if performance is a problem
publicAPI.getDataPointer = () => {
const size = model.nodes.length;
model.function = null;
if (size > 0) {
model.function = [];
for (let i = 0; i < size; i++) {
model.function[2 * i] = model.nodes[i].x;
model.function[2 * i + 1] = model.nodes[i].y;
}
}
return model.function;
};
// Returns the first point location which starts a non-zero segment of the
// function. Note that the value at this point may be zero.
publicAPI.getFirstNonZeroValue = () => {
// Check if no points specified
if (model.nodes.length === 0) {
return 0;
}
let allZero = 1;
let x = 0.0;
let i = 0;
for (; i < model.nodes.length; i++) {
if (model.nodes[i].y !== 0.0) {
allZero = 0;
break;
}
}
// If every specified point has a zero value then return
// a large value
if (allZero) {
x = Number.MAX_VALUE;
} else if (i > 0) {
// A point was found with a non-zero value
// Return the value of the point that precedes this one
x = model.nodes[i - 1].x;
} else if (model.clamping) {
// If this is the first point in the function, return its
// value is clamping is off, otherwise VTK_DOUBLE_MIN if
// clamping is on.
x = -Number.MAX_VALUE;
} else {
x = model.nodes[0].x;
}
return x;
};
// For a specified index value, get the node parameters
publicAPI.getNodeValue = (index, val) => {
const size = model.nodes.length;
Iif (index < 0 || index >= size) {
vtkErrorMacro('Index out of range!');
return -1;
}
val[0] = model.nodes[index].x;
val[1] = model.nodes[index].y;
val[2] = model.nodes[index].midpoint;
val[3] = model.nodes[index].sharpness;
return 1;
};
// For a specified index value, get the node parameters
publicAPI.setNodeValue = (index, val) => {
const size = model.nodes.length;
if (index < 0 || index >= size) {
vtkErrorMacro('Index out of range!');
return -1;
}
const oldX = model.nodes[index].x;
model.nodes[index].x = val[0];
model.nodes[index].y = val[1];
model.nodes[index].midpoint = val[2];
model.nodes[index].sharpness = val[3];
if (oldX !== val[0]) {
// The point has been moved, the order of points or the range might have
// been modified.
publicAPI.sortAndUpdateRange();
// No need to call Modified() here because SortAndUpdateRange() has done it
// already.
} else {
publicAPI.modified();
}
return 1;
};
// Adds a point to the function. If a duplicate point is inserted
// then the function value at that location is set to the new value.
// This is the legacy version that assumes midpoint = 0.5 and
// sharpness = 0.0
publicAPI.addPoint = (x, y) => publicAPI.addPointLong(x, y, 0.5, 0.0);
// Adds a point to the function and returns the array index of the point.
publicAPI.addPointLong = (x, y, midpoint, sharpness) => {
// Error check
Iif (midpoint < 0.0 || midpoint > 1.0) {
vtkErrorMacro('Midpoint outside range [0.0, 1.0]');
return -1;
}
Iif (sharpness < 0.0 || sharpness > 1.0) {
vtkErrorMacro('Sharpness outside range [0.0, 1.0]');
return -1;
}
// remove any node already at this X location
if (!model.allowDuplicateScalars) {
publicAPI.removePoint(x);
}
// Create the new node
const node = { x, y, midpoint, sharpness };
// Add it, then sort to get everything in order
model.nodes.push(node);
publicAPI.sortAndUpdateRange();
// Now find this node so we can return the index
let i;
for (i = 0; i < model.nodes.length; i++) {
if (model.nodes[i].x === x) {
break;
}
}
// If we didn't find it, something went horribly wrong so
// return -1
if (i < model.nodes.length) {
return i;
}
return -1;
};
publicAPI.setNodes = (nodes) => {
if (model.nodes !== nodes) {
model.nodes = nodes;
publicAPI.sortAndUpdateRange();
}
};
// Sort the vector in increasing order, then fill in
// the Range
publicAPI.sortAndUpdateRange = () => {
model.nodes.sort((a, b) => a.x - b.x);
const modifiedInvoked = publicAPI.updateRange();
// If range is updated, Modified() has been called, don't call it again.
if (!modifiedInvoked) {
publicAPI.modified();
}
};
//----------------------------------------------------------------------------
publicAPI.updateRange = () => {
const oldRange = model.range.slice();
const size = model.nodes.length;
if (size) {
model.range[0] = model.nodes[0].x;
model.range[1] = model.nodes[size - 1].x;
} else {
model.range[0] = 0;
model.range[1] = 0;
}
// If the rage is the same, then no need to call Modified()
if (oldRange[0] === model.range[0] && oldRange[1] === model.range[1]) {
return false;
}
publicAPI.modified();
return true;
};
// Removes a point from the function. If no point is found then function
// remains the same.
publicAPI.removePoint = (x) => {
// First find the node since we need to know its
// index as our return value
let i;
for (i = 0; i < model.nodes.length; i++) {
Iif (model.nodes[i].x === x) {
break;
}
}
// If the node doesn't exist, we return -1
if (i >= model.nodes.length) {
return -1;
}
const retVal = i;
// If the first or last point has been removed, then we update the range
// No need to sort here as the order of points hasn't changed.
let modifiedInvoked = false;
model.nodes.splice(i, 1);
if (i === 0 || i === model.nodes.length) {
modifiedInvoked = publicAPI.updateRange();
}
if (!modifiedInvoked) {
publicAPI.modified();
}
return retVal;
};
// Removes all points from the function.
publicAPI.removeAllPoints = () => {
model.nodes = [];
publicAPI.sortAndUpdateRange();
};
// Add in end points of line and remove any points between them
// Legacy method with no way to specify midpoint and sharpness
publicAPI.addSegment = (x1, y1, x2, y2) => {
// First, find all points in this range and remove them
publicAPI.sortAndUpdateRange();
for (let i = 0; i < model.nodes.length; ) {
if (model.nodes[i].x >= x1 && model.nodes[i].x <= x2) {
model.nodes.splice(i, 1);
} else {
i++;
}
}
// Now add the points
publicAPI.addPoint(x1, y1, 0.5, 0.0);
publicAPI.addPoint(x2, y2, 0.5, 0.0);
};
// Return the value of the function at a position
publicAPI.getValue = (x) => {
const table = [];
publicAPI.getTable(x, x, 1, table);
return table[0];
};
// Remove all points outside the range, and make sure a point
// exists at each end of the range. Used as a convenience method
// for transfer function editors
publicAPI.adjustRange = (range) => {
if (range.length < 2) {
return 0;
}
const functionRange = publicAPI.getRange();
// Make sure we have points at each end of the range
if (functionRange[0] < range[0]) {
publicAPI.addPoint(range[0], publicAPI.getValue(range[0]));
} else {
publicAPI.addPoint(range[0], publicAPI.getValue(functionRange[0]));
}
if (functionRange[1] > range[1]) {
publicAPI.addPoint(range[1], publicAPI.getValue(range[1]));
} else {
publicAPI.addPoint(range[1], publicAPI.getValue(functionRange[1]));
}
// Remove all points out-of-range
publicAPI.sortAndUpdateRange();
for (let i = 0; i < model.nodes.length; ) {
if (model.nodes[i].x >= range[0] && model.nodes[i].x <= range[1]) {
model.nodes.splice(i, 1);
} else {
++i;
}
}
publicAPI.sortAndUpdateRange();
return 1;
};
//--------------------------------------------------------------------------
publicAPI.estimateMinNumberOfSamples = (x1, x2) => {
const d = publicAPI.findMinimumXDistance();
return Math.ceil((x2 - x1) / d);
};
//----------------------------------------------------------------------------
publicAPI.findMinimumXDistance = () => {
const size = model.nodes.length;
if (size < 2) {
return -1.0;
}
let distance = model.nodes[1].x - model.nodes[0].x;
for (let i = 0; i < size - 1; i++) {
const currentDist = model.nodes[i + 1].x - model.nodes[i].x;
if (currentDist < distance) {
distance = currentDist;
}
}
return distance;
};
// Returns a table of function values evaluated at regular intervals
/* eslint-disable prefer-destructuring */
/* eslint-disable no-continue */
publicAPI.getTable = (xStart, xEnd, size, table, stride = 1) => {
let i;
let idx = 0;
const numNodes = model.nodes.length;
// Need to keep track of the last value so that
// we can fill in table locations past this with
// this value if Clamping is On.
let lastValue = 0.0;
if (numNodes !== 0) {
lastValue = model.nodes[numNodes - 1].y;
}
let x = 0.0;
let x1 = 0.0;
let x2 = 0.0;
let y1 = 0.0;
let y2 = 0.0;
let midpoint = 0.0;
let sharpness = 0.0;
// For each table entry
for (i = 0; i < size; i++) {
// Find our location in the table
const tidx = stride * i;
// Find our X location. If we are taking only 1 sample, make
// it halfway between start and end (usually start and end will
// be the same in this case)
if (size > 1) {
x = xStart + (i / (size - 1.0)) * (xEnd - xStart);
} else E{
x = 0.5 * (xStart + xEnd);
}
// Do we need to move to the next node?
while (idx < numNodes && x > model.nodes[idx].x) {
idx++;
// If we are at a valid point index, fill in
// the value at this node, and the one before (the
// two that surround our current sample location)
// idx cannot be 0 since we just incremented it.
if (idx < numNodes) {
x1 = model.nodes[idx - 1].x;
x2 = model.nodes[idx].x;
y1 = model.nodes[idx - 1].y;
y2 = model.nodes[idx].y;
// We only need the previous midpoint and sharpness
// since these control this region
midpoint = model.nodes[idx - 1].midpoint;
sharpness = model.nodes[idx - 1].sharpness;
// Move midpoint away from extreme ends of range to avoid
// degenerate math
Iif (midpoint < 0.00001) {
midpoint = 0.00001;
}
Iif (midpoint > 0.99999) {
midpoint = 0.99999;
}
}
}
// Are we at the end? If so, just use the last value
Iif (idx >= numNodes) {
table[tidx] = model.clamping ? lastValue : 0.0;
} else if (idx === 0) {
// Are we before the first node? If so, duplicate this nodes values
table[tidx] = model.clamping ? model.nodes[0].y : 0.0;
} else {
// Otherwise, we are between two nodes - interpolate
// Our first attempt at a normalized location [0,1] -
// we will be modifying this based on midpoint and
// sharpness to get the curve shape we want and to have
// it pass through (y1+y2)/2 at the midpoint.
let s = (x - x1) / (x2 - x1);
// Readjust based on the midpoint - linear adjustment
if (s < midpoint) {
s = (0.5 * s) / midpoint;
} else {
s = 0.5 + (0.5 * (s - midpoint)) / (1.0 - midpoint);
}
// override for sharpness > 0.99
// In this case we just want piecewise constant
if (sharpness > 0.99) {
// Use the first value since we are below the midpoint
if (s < 0.5) {
table[tidx] = y1;
continue;
} else {
// Use the second value at or above the midpoint
table[tidx] = y2;
continue;
}
}
// Override for sharpness < 0.01
// In this case we want piecewise linear
if (sharpness < 0.01) {
// Simple linear interpolation
table[tidx] = (1 - s) * y1 + s * y2;
continue;
}
// We have a sharpness between [0.01, 0.99] - we will
// used a modified hermite curve interpolation where we
// derive the slope based on the sharpness, and we compress
// the curve non-linearly based on the sharpness
// First, we will adjust our position based on sharpness in
// order to make the curve sharper (closer to piecewise constant)
if (s < 0.5) {
s = 0.5 * (s * 2) ** (1.0 + 10 * sharpness);
} else if (s > 0.5) {
s = 1.0 - 0.5 * ((1.0 - s) * 2) ** (1 + 10 * sharpness);
}
// Compute some coefficients we will need for the hermite curve
const ss = s * s;
const sss = ss * s;
const h1 = 2 * sss - 3 * ss + 1;
const h2 = -2 * sss + 3 * ss;
const h3 = sss - 2 * ss + s;
const h4 = sss - ss;
// Use one slope for both end points
const slope = y2 - y1;
const t = (1.0 - sharpness) * slope;
// Compute the value
table[tidx] = h1 * y1 + h2 * y2 + h3 * t + h4 * t;
// Final error check to make sure we don't go outside
// the Y range
const min = y1 < y2 ? y1 : y2;
const max = y1 > y2 ? y1 : y2;
table[tidx] = table[tidx] < min ? min : table[tidx];
table[tidx] = table[tidx] > max ? max : table[tidx];
}
}
};
}
/* eslint-enable prefer-destructuring */
/* eslint-enable no-continue */
// ----------------------------------------------------------------------------
// Object factory
// ----------------------------------------------------------------------------
const DEFAULT_VALUES = {
// model.function = NULL;
range: [0, 0],
clamping: true,
allowDuplicateScalars: false,
};
// ----------------------------------------------------------------------------
export function extend(publicAPI, model, initialValues = {}) {
Object.assign(model, DEFAULT_VALUES, initialValues);
// Inheritance
macro.obj(publicAPI, model);
// Internal objects initialization
model.nodes = [];
// Create get-set macros
macro.setGet(publicAPI, model, ['allowDuplicateScalars', 'clamping']);
macro.setArray(publicAPI, model, ['range'], 2);
// Create get macros for array
macro.getArray(publicAPI, model, ['range']);
// For more macro methods, see "Sources/macros.js"
// Object specific methods
vtkPiecewiseFunction(publicAPI, model);
}
// ----------------------------------------------------------------------------
export const newInstance = macro.newInstance(extend, 'vtkPiecewiseFunction');
// ----------------------------------------------------------------------------
export default { newInstance, extend };
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