Element Slopefield
JXG.GeometryElement
↳ JXG.Curve
↳ Vectorfield
↳ Slopefield
Slope field.
Plot a slope field given by a function f(x, y) returning a number.
Defined in: vectorfield.js.
Extends
Vectorfield.
Constructor Attributes | Constructor Name and Description |
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Field Attributes | Field Name and Description |
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Customize arrow heads of vectors.
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Set length of the vectors in user coordinates.
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Method Attributes | Method Name and Description |
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setF(func)
Set the defining functions of slope field.
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- Methods borrowed from class JXG.Curve:
- addTransform, allocatePoints, generateTerm, getTransformationSource, hasPoint, interpolationFunctionFromArray, maxX, minX, moveTo, notifyParents, update, updateCurve, updateDataArray, updateRenderer, updateTransform, X, Y, Z
- Methods borrowed from class JXG.GeometryElement:
- _set, addChild, addDescendants, addParents, addParentsFromJCFunctions, addRotation, addTicks, animate, bounds, clearTrace, cloneToBackground, countChildren, createGradient, createLabel, draggable, eval, evalVisProp, formatNumberLocale, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, noHighlight, normalize, prepareUpdate, remove, removeAllTicks, removeChild, removeDescendants, removeTicks, resolveShortcuts, setArrow, setAttribute, setDash, setDisplayRendNode, setLabel, setLabelText, setName, setParents, setPosition, setPositionDirectly, setProperty, show, showElement, snapToPoints, updateVisibility, useLocale
- Events borrowed from class JXG.GeometryElement:
- attribute, attribute:key, down, drag, keydrag, mousedown, mousedrag, mousemove, mouseout, mouseover, mouseup, move, out, over, pendown, pendrag, penup, touchdown, touchdrag, touchup, up
Element Detail
Slopefield
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This element has no direct constructor. To create an instance of this element you have to call JXG.Board#create
with type "slopefield".
- Possible parent array combinations are:
-
{Function|String} F
- Function f(x, y) returning a number.
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{Array} xData
- Array of length 3 containing start value for x, number of steps, end value of x. The slope field will contain (number of steps) + 1 vectors in direction of x.
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{Array} yData
- Array of length 3 containing start value for y, number of steps, end value of y. The slope field will contain (number of steps) + 1 vectors in direction of y.
- Throws:
- {Error}
- If the element cannot be constructed with the given parent objects an exception is thrown. Parameter options:
- Examples:
var field = board.create('slopefield', [ (x, y) => x * x - x - 2, [-6, 25, 6], // Horizontal mesh [-5, 20, 5] // Vertical mesh ]);
// Slider to control length of vectors var s = board.create('slider', [[-3, 7], [3, 7], [0, 0.33, 1]], {name: 'length'}); // Slider to control number of steps var stepsize = board.create('slider', [[-3, 6], [3, 6], [1, 20, 100]], {name: 'steps', snapWidth: 1}); var field = board.create('slopefield', [ (x, y) => x * x - y * y, [-6, () => stepsize.Value(), 6], [-5, () => stepsize.Value(), 5]], { strokeWidth: 1.5, highlightStrokeWidth: 0.5, highlightStrokeColor: JXG.palette.blue, scale: () => s.Value(), arrowHead: { enabled: false, size: 8, angle: Math.PI / 16 } });
Attribute Detail
arrowhead
Customize arrow heads of vectors. Be careful! If enabled this will slow down the performance.
Fields are:
Defined in: options.js.
- enabled: Boolean
- size: length of the arrow head legs (in pixel)
- angle: angle of the arrow head legs In radians.
Defined in: options.js.
- Default Value:
- {enabled: false, size: 5, angle: Math.PI * 0.125}
scale
Set length of the vectors in user coordinates. This in contrast to vector fields, where this attribute just scales the vector.
Defined in: options.js.
Defined in: options.js.
- See:
- Vectorfield.scale
- Default Value:
- 1
Method Detail
{Object}
setF(func)
Set the defining functions of slope field.
- Parameters:
- {Function} func
- Function f(x, y) returning a number.
- Returns:
- {Object} Reference to the slope field object.
- Examples:
field.setF((x, y) => x * x + y * y); board.update();
Attributes borrowed from other Elements
- Attributes borrowed from class JXG.Curve:
- lineCap
- Attributes borrowed from class JXG.GeometryElement:
- aria, cssClass, dash, dashScale, draft, dragToTopOfLayer, element3D, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, highlight, highlightCssClass, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, isLabel, layer, needsRegularUpdate, nonnegativeOnly, precision, priv, rotatable, scalable, shadow, snapToGrid, strokeColor, strokeOpacity, strokeWidth, tabindex, trace, traceAttributes, transitionDuration, transitionProperties, visible, withLabel
Fields borrowed from other Elements
- Fields borrowed from class JXG.Curve:
- dataX, dataY, numberPoints, qdt, ticks
- Fields borrowed from class JXG.GeometryElement:
- _org_type, _pos, ancestors, baseElement, board, childElements, descendants, dump, elementClass, elType, hasLabel, highlighted, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsUpdate, notExistingParents, numTraces, parents, quadraticform, rendNode, stdform, subs, symbolic, traces, transformations, type, visProp, visPropCalc
Methods borrowed from other Elements
- Methods borrowed from class JXG.Curve:
- addTransform, allocatePoints, generateTerm, getTransformationSource, hasPoint, interpolationFunctionFromArray, maxX, minX, moveTo, notifyParents, update, updateCurve, updateDataArray, updateRenderer, updateTransform, X, Y, Z
- Methods borrowed from class JXG.GeometryElement:
- _set, addChild, addDescendants, addParents, addParentsFromJCFunctions, addRotation, addTicks, animate, bounds, clearTrace, cloneToBackground, countChildren, createGradient, createLabel, draggable, eval, evalVisProp, formatNumberLocale, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, noHighlight, normalize, prepareUpdate, remove, removeAllTicks, removeChild, removeDescendants, removeTicks, resolveShortcuts, setArrow, setAttribute, setDash, setDisplayRendNode, setLabel, setLabelText, setName, setParents, setPosition, setPositionDirectly, setProperty, show, showElement, snapToPoints, updateVisibility, useLocale
Events borrowed from other Elements