bspy.splineOpenGLFrame

class SplineOpenGLFrame(pyopengltk.win32.OpenGLFrame):

A tkinter OpenGLFrame with shaders to display a Spline.

SplineOpenGLFrame( *args, eye=(0.0, 0.0, 3.0), center=(0.0, 0.0, 0.0), up=(0.0, 1.0, 0.0), draw_func=None, **kw)

Construct a frame widget with the parent MASTER.

Valid resource names: background, bd, bg, borderwidth, class, colormap, container, cursor, height, highlightbackground, highlightcolor, highlightthickness, relief, takefocus, visual, width.

ROTATE = 1

Default view mode in which dragging the left mouse rotates the view.

PAN = 2

View mode in which dragging the left mouse pans the view.

FLY = 3

View mode in which dragging the left mouse flies toward the mouse position.

MsPerFrame = 50

Milliseconds per frame when animating or flying.

maxOrder = 9

Maximum order for drawable splines.

maxKnots = 1024

Maximum number of 2D knots for drawable splines (order[0] + nCoef[0] + order[1] + nCoef[1] + 4, includes 4 header values).

maxCoefficients = 16384

Maximum number of 2D coefficients for drawable splines (nCoef[0] * nCoef[1], textures must support this width).

HULL = 1

Option to draw the convex hull of the spline (the coefficients). Off by default.

SHADED = 2

Option to draw the spline shaded (only useful for nInd >= 2). On by default.

BOUNDARY = 4

Option to draw the boundary of the spline in the line color (only useful for nInd >= 2). On by default.

ISOPARMS = 8

Option to draw the lines of constant knot values of the spline in the line color (only useful for nInd >= 2). Off by default.

computeShaderCode = '\n #version 430 core\n\n layout(local_size_x = 1) in;\n layout(rgba32f, binding = 3) uniform image1D uTransformedCoefs;\n\n uniform mat4 uTransformMatrix;\n uniform samplerBuffer uXYZCoefs;\n\n void main()\n {\n // Use global work group to index into coefs data\n int coefficientOffset = int(gl_GlobalInvocationID.x);\n imageStore(uTransformedCoefs, coefficientOffset, uTransformMatrix * texelFetch(uXYZCoefs, coefficientOffset));\n }\n '

computeBSplineCode = '\n void ComputeBSpline(in int offset, in int order, in int n, in int knot, in float u, \n out float uBSpline[{maxOrder}], out float duBSpline[{maxOrder}])\n {{\n int degree = 1;\n\n for (int i = 0; i < {maxOrder}; i++)\n {{\n uBSpline[i] = 0.0;\n duBSpline[i] = 0.0;\n }}\n uBSpline[order-1] = 1.0;\n\n while (degree < order - 1)\n {{\n int b = order - degree;\n for (int i = knot - degree; i < knot; i++)\n {{\n float knotValue = texelFetch(uKnots, offset + i).x; // knots[i]\n float alpha = (u - knotValue) / (texelFetch(uKnots, offset + i + degree).x - knotValue); // (u - knots[i]) / (knots[i+degree] - knots[i]);\n uBSpline[b-1] += (1.0 - alpha) * uBSpline[b];\n uBSpline[b] *= alpha;\n b++;\n }}\n degree++;\n }}\n if (degree < order)\n {{\n int b = order - degree;\n for (int i = knot - degree; i < knot; i++)\n {{\n float knotValue = texelFetch(uKnots, offset + i).x; // knots[i]\n float gap = texelFetch(uKnots, offset + i + degree).x - knotValue; // knots[i+degree] - knots[i]\n float alpha = degree / gap;\n duBSpline[b-1] += -alpha * uBSpline[b];\n duBSpline[b] = alpha * uBSpline[b];\n\n alpha = (u - knotValue) / gap; // (u - knots[i]) / gap;\n uBSpline[b-1] += (1.0 - alpha) * uBSpline[b];\n uBSpline[b] *= alpha;\n b++;\n }}\n }}\n }}\n '

computeSampleRateCode = '\n float ComputeSampleRate(in vec3 point, in vec3 dPoint, in vec3 d2Point, in float minRate)\n {\n float rate = 0.0;\n float scale = uScreenScale.z > 0.0 ? -point.z : 1.0;\n\n // Only consider points that lie within the clip bounds or whose derivative spans the clip bounds.\n if (point.z < uClipBounds[3] && point.z > uClipBounds[2] && \n ((point.y < scale * uClipBounds[1] && point.y > -scale * uClipBounds[1]) ||\n (point.y >= scale * uClipBounds[1] && point.y + dPoint.y <= -scale * uClipBounds[1]) ||\n (point.y <= -scale * uClipBounds[1] && point.y + dPoint.y >= scale * uClipBounds[1])) &&\n ((point.x < scale * uClipBounds[0] && point.x > -scale * uClipBounds[0]) ||\n (point.x >= scale * uClipBounds[0] && point.x + dPoint.x <= -scale * uClipBounds[0]) ||\n (point.x <= -scale * uClipBounds[0] && point.x + dPoint.x >= scale * uClipBounds[0])))\n {\n float zScale = -1.0 / point.z;\n float zScale2 = zScale * zScale;\n float zScale3 = zScale2 * zScale;\n vec2 projection = uScreenScale.z > 0.0 ? \n vec2(uScreenScale.x * (d2Point.x * zScale - 2.0 * dPoint.x * dPoint.z * zScale2 +\n point.x * (2.0 * dPoint.z * dPoint.z * zScale3 - d2Point.z * zScale2)),\n uScreenScale.y * (d2Point.y * zScale - 2.0 * dPoint.y * dPoint.z * zScale2 +\n point.y * (2.0 * dPoint.z * dPoint.z * zScale3 - d2Point.z * zScale2)))\n : vec2(uScreenScale.x * d2Point.x, uScreenScale.y * d2Point.y);\n rate = max(sqrt(length(projection)), minRate);\n }\n return rate;\n }\n '

curveVertexShaderCode = '\n #version 410 core\n \n const int header = 2;\n\n attribute vec4 aParameters;\n\n uniform samplerBuffer uKnots;\n\n out SplineInfo\n {\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n } outData;\n\n void main()\n {\n outData.uOrder = int(texelFetch(uKnots, 0).x);\n outData.uN = int(texelFetch(uKnots, 1).x);\n outData.uKnot = min(gl_InstanceID + outData.uOrder, outData.uN);\n outData.u = texelFetch(uKnots, header + outData.uKnot - 1).x; // knots[uKnot-1]\n outData.uInterval = texelFetch(uKnots, header + outData.uKnot).x - outData.u; // knots[uKnot] - knots[uKnot-1]\n gl_Position = aParameters;\n }\n '

computeCurveSamplesCode = "\n void ComputeCurveSamples(in int maxSamples, out float uSamples)\n {{\n float sampleRate = 0.0;\n if (outData.uInterval > 0.0)\n {{\n float minRate = 1.0 / outData.uInterval;\n if (outData.uOrder < 3)\n {{\n // It's a line or point, so just do the minimum sample.\n sampleRate = minRate;\n }}\n else\n {{\n int i = outData.uKnot - outData.uOrder;\n int coefficientOffset = i;\n vec3 coefficient0 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n coefficientOffset++;\n vec3 coefficient1 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n float gap = texelFetch(uKnots, header + i+outData.uOrder).x - texelFetch(uKnots, header + i+1).x; // uKnots[i+uOrder] - uKnots[i+1]\n vec3 dPoint0 = ((outData.uOrder - 1) / gap) * (coefficient1 - coefficient0);\n while (i < outData.uKnot-2)\n {{\n coefficientOffset++;\n vec3 coefficient2 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n gap = texelFetch(uKnots, header + i+1+outData.uOrder).x - texelFetch(uKnots, header + i+2).x; // uKnots[i+1+uOrder] - uKnots[i+2]\n vec3 dPoint1 = ((outData.uOrder - 1) / gap) * (coefficient2 - coefficient1);\n gap = texelFetch(uKnots, header + i+outData.uOrder).x - texelFetch(uKnots, header + i+2).x; // uKnots[i+uOrder] - uKnots[i+2]\n vec3 d2Point = ((outData.uOrder - 2) / gap) * (dPoint1 - dPoint0);\n\n sampleRate = max(sampleRate, ComputeSampleRate(coefficient0, dPoint0, d2Point, minRate));\n sampleRate = max(sampleRate, ComputeSampleRate(coefficient1, dPoint0, d2Point, minRate));\n sampleRate = max(sampleRate, ComputeSampleRate(coefficient1, dPoint1, d2Point, minRate));\n sampleRate = max(sampleRate, ComputeSampleRate(coefficient2, dPoint1, d2Point, minRate));\n\n coefficient0 = coefficient1;\n coefficient1 = coefficient2;\n dPoint0 = dPoint1;\n i++;\n }}\n }}\n }}\n uSamples = min(floor(0.5 + outData.uInterval * sampleRate), maxSamples);\n }}\n "

curveTCShaderCode = '\n #version 410 core\n\n layout (vertices = 1) out;\n\n const int header = 2;\n\n in SplineInfo\n {{\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n }} inData[];\n\n uniform vec3 uScreenScale;\n uniform vec4 uClipBounds;\n uniform samplerBuffer uKnots;\n uniform sampler1D uXYZCoefs;\n\n patch out SplineInfo\n {{\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n }} outData;\n\n {computeSampleRateCode}\n\n {computeCurveSamplesCode}\n\n void main()\n {{\n outData = inData[gl_InvocationID];\n gl_out[gl_InvocationID].gl_Position = gl_in[gl_InvocationID].gl_Position;\n\n float uSamples = 0.0;\n ComputeCurveSamples(gl_MaxTessGenLevel, uSamples);\n gl_TessLevelOuter[0] = 1.0;\n gl_TessLevelOuter[1] = uSamples;\n }}\n '

curveTEShaderCode = '\n #version 410 core\n\n layout (isolines) in;\n\n const int header = 2;\n\n patch in SplineInfo\n {{\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n }} inData;\n\n uniform mat4 uProjectionMatrix;\n uniform samplerBuffer uKnots;\n uniform sampler1D uXYZCoefs;\n\n {computeBSplineCode}\n\n void main()\n {{\n float uBSpline[{maxOrder}];\n float duBSpline[{maxOrder}];\n ComputeBSpline(header, inData.uOrder, inData.uN, inData.uKnot,\n inData.u + gl_TessCoord.x * inData.uInterval, \n uBSpline, duBSpline);\n \n vec4 point = vec4(0.0, 0.0, 0.0, 1.0);\n int i = inData.uKnot - inData.uOrder;\n for (int b = 0; b < inData.uOrder; b++) // loop from coefficient[uKnot-order] to coefficient[uKnot]\n {{\n point.xyz += uBSpline[b] * texelFetch(uXYZCoefs, i, 0).xyz;\n i++;\n }}\n\n gl_Position = uProjectionMatrix * point;\n }}\n '

curveGeometryShaderCode = "\n #version 330 core\n\n layout( points ) in;\n layout( line_strip, max_vertices = 256 ) out;\n\n const int header = 2;\n\n in SplineInfo\n {{\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n }} inData[];\n\n uniform mat4 uProjectionMatrix;\n uniform vec3 uScreenScale;\n uniform vec4 uClipBounds;\n uniform samplerBuffer uKnots;\n uniform samplerBuffer uXYZCoefs;\n\n struct SplineInfoStruct\n {{\n int uOrder;\n int uN;\n int uKnot;\n float u;\n float uInterval;\n }} outData; // We don't output outData (too many components per vertex), but we do use it in ComputeCurveSamples.\n\n {computeSampleRateCode}\n\n {computeCurveSamplesCode}\n\n {computeBSplineCode}\n\n void main()\n {{\n float uSamples = 0.0;\n\n outData.uOrder = inData[0].uOrder;\n outData.uN = inData[0].uN;\n outData.uKnot = inData[0].uKnot;\n outData.u = inData[0].u;\n outData.uInterval = inData[0].uInterval;\n ComputeCurveSamples(gl_MaxGeometryOutputVertices - 1, uSamples);\n\n if (uSamples > 0.0)\n {{\n float uBSpline[{maxOrder}];\n float duBSpline[{maxOrder}];\n float u = outData.u;\n float deltaU = outData.uInterval / uSamples;\n int iOffset = outData.uKnot - outData.uOrder;\n\n for (int uSample = 0; uSample <= uSamples; uSample++)\n {{\n ComputeBSpline(header, outData.uOrder, outData.uN, outData.uKnot,\n u, uBSpline, duBSpline);\n \n vec4 point = vec4(0.0, 0.0, 0.0, 1.0);\n int i = iOffset;\n for (int b = 0; b < outData.uOrder; b++) // loop from coefficient[uKnot-order] to coefficient[uKnot]\n {{\n point.xyz += uBSpline[b] * texelFetch(uXYZCoefs, i).xyz;\n i++;\n }}\n\n gl_Position = uProjectionMatrix * point;\n EmitVertex();\n u += deltaU; \n }}\n EndPrimitive();\n }}\n }}\n "

curveFragmentShaderCode = '\n #version 410 core\n \n uniform vec4 uLineColor;\n\n out vec4 color;\n \n void main()\n {\n color = uLineColor;\n }\n '

surfaceVertexShaderCode = '\n #version 410 core\n\n const int header = 4;\n \n attribute vec4 aParameters;\n\n uniform samplerBuffer uKnots;\n\n out SplineInfo\n {\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n } outData;\n\n void main()\n {\n outData.uOrder = int(texelFetch(uKnots, 0).x);\n outData.vOrder = int(texelFetch(uKnots, 1).x);\n outData.uN = int(texelFetch(uKnots, 2).x);\n outData.vN = int(texelFetch(uKnots, 3).x);\n int stride = outData.uN - outData.uOrder + 1;\n int strides = gl_InstanceID / stride;\n\n outData.uKnot = gl_InstanceID - stride * strides + outData.uOrder;\n outData.vKnot = strides + outData.vOrder;\n outData.uFirst = texelFetch(uKnots, header + outData.uOrder - 1).x; // uKnots[uOrder-1]\n outData.vFirst = texelFetch(uKnots, header + outData.uOrder + outData.uN + outData.vOrder - 1).x; // vKnots[vOrder-1]\n outData.uSpan = texelFetch(uKnots, header + outData.uN).x - outData.uFirst; // uKnots[uN] - uKnots[uOrder-1]\n outData.vSpan = texelFetch(uKnots, header + outData.uOrder + outData.uN + outData.vN).x - outData.vFirst; // vKnots[vN] - vKnots[vOrder-1]\n outData.u = texelFetch(uKnots, header + outData.uKnot - 1).x; // uKnots[uKnot-1]\n outData.v = texelFetch(uKnots, header + outData.uOrder + outData.uN + outData.vKnot - 1).x; // vKnots[vKnot-1]\n outData.uInterval = texelFetch(uKnots, header + outData.uKnot).x - outData.u; // uKnots[uKnot] - uKnots[uKnot-1]\n outData.vInterval = texelFetch(uKnots, header + outData.uOrder + outData.uN + outData.vKnot).x - outData.v; // vKnots[vKnot] - vKnots[vKnot-1]\n gl_Position = aParameters;\n }\n '

computeSurfaceSamplesCode = "\n void ComputeSurfaceSamples(in int maxSamples, out float uSamples[3], out float vSamples[3])\n {{\n // Computes sample counts for u and v for the left side ([0]), middle ([1]), and right side ([2]).\n // The left side sample count matches the right side sample count for the previous knot.\n // The middle sample count is the number of samples between knots (same as ComputeCurveSamples).\n float sampleRate[3] = float[3](0.0, 0.0, 0.0);\n if (outData.uInterval > 0.0)\n {{\n float minRate = 1.0 / outData.uInterval;\n if (outData.uOrder < 3)\n {{\n // It's a plane or point, so just do the minimum sample.\n sampleRate = float[3](minRate, minRate, minRate);\n }}\n else\n {{\n float sampleRateLeft[{maxOrder}];\n float sampleRateRight[{maxOrder}];\n\n for (int k = 0; k < outData.uOrder; k++)\n {{\n sampleRateLeft[k] = 0.0;\n sampleRateRight[k] = 0.0;\n }}\n for (int j = outData.vKnot-outData.vOrder; j < outData.vKnot; j++)\n {{\n int i = max(outData.uKnot - 1 - outData.uOrder, 0);\n int iLimit = min(outData.uKnot - 1, outData.uN - 2);\n int coefficientOffset = outData.uN*j + i;\n vec3 coefficient0 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n coefficientOffset++;\n vec3 coefficient1 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n float gap = texelFetch(uKnots, header + i+outData.uOrder).x - texelFetch(uKnots, header + i+1).x; // uKnots[i+uOrder] - uKnots[i+1]\n vec3 dPoint0 = ((outData.uOrder - 1) / gap) * (coefficient1 - coefficient0);\n while (i < iLimit)\n {{\n coefficientOffset++;\n vec3 coefficient2 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n gap = texelFetch(uKnots, header + i+1+outData.uOrder).x - texelFetch(uKnots, header + i+2).x; // uKnots[i+1+uOrder] - uKnots[i+2]\n vec3 dPoint1 = ((outData.uOrder - 1) / gap) * (coefficient2 - coefficient1);\n gap = texelFetch(uKnots, header + i+outData.uOrder).x - texelFetch(uKnots, header + i+2).x; // uKnots[i+uOrder] - uKnots[i+2]\n vec3 d2Point = ((outData.uOrder - 2) / gap) * (dPoint1 - dPoint0);\n\n int k = i - outData.uKnot + 1 + outData.uOrder;\n sampleRateLeft[k] = max(sampleRateLeft[k], ComputeSampleRate(coefficient0, dPoint0, d2Point, minRate));\n sampleRateLeft[k] = max(sampleRateLeft[k], ComputeSampleRate(coefficient1, dPoint0, d2Point, minRate));\n sampleRateRight[k] = max(sampleRateRight[k], ComputeSampleRate(coefficient1, dPoint1, d2Point, minRate));\n sampleRateRight[k] = max(sampleRateRight[k], ComputeSampleRate(coefficient2, dPoint1, d2Point, minRate));\n\n coefficient0 = coefficient1;\n coefficient1 = coefficient2;\n dPoint0 = dPoint1;\n i++;\n }}\n }}\n for (int k = 1; k < outData.uOrder - 1; k++)\n {{\n sampleRate[0] = max(sampleRate[0], sampleRateRight[k-1]);\n sampleRate[0] = max(sampleRate[0], sampleRateLeft[k]);\n sampleRate[1] = max(sampleRate[1], sampleRateLeft[k]);\n sampleRate[1] = max(sampleRate[1], sampleRateRight[k]);\n sampleRate[2] = max(sampleRate[2], sampleRateRight[k]);\n sampleRate[2] = max(sampleRate[2], sampleRateLeft[k+1]);\n }}\n }}\n }}\n uSamples[0] = min(floor(0.5 + outData.uInterval * sampleRate[0]), maxSamples);\n uSamples[1] = min(floor(0.5 + outData.uInterval * sampleRate[1]), maxSamples);\n uSamples[2] = min(floor(0.5 + outData.uInterval * sampleRate[2]), maxSamples);\n\n sampleRate = float[3](0.0, 0.0, 0.0);\n if (outData.vInterval > 0.0)\n {{\n float minRate = 1.0 / outData.vInterval;\n if (outData.vOrder < 3)\n {{\n // It's a plane or point, so just do the minimum sample.\n sampleRate = float[3](minRate, minRate, minRate);\n }}\n else\n {{\n float sampleRateLeft[{maxOrder}];\n float sampleRateRight[{maxOrder}];\n\n for (int k = 0; k < outData.vOrder; k++)\n {{\n sampleRateLeft[k] = 0.0;\n sampleRateRight[k] = 0.0;\n }}\n for (int i = outData.uKnot-outData.uOrder; i < outData.uKnot; i++)\n {{\n int j = max(outData.vKnot - 1 - outData.vOrder, 0);\n int jLimit = min(outData.vKnot - 1, outData.vN - 2);\n int coefficientOffset = outData.uN*j + i;\n vec3 coefficient0 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n coefficientOffset += outData.uN;\n vec3 coefficient1 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n float gap = texelFetch(uKnots, header + outData.uOrder+outData.uN + j+outData.vOrder).x - texelFetch(uKnots, header + outData.uOrder+outData.uN + j+1).x; // vKnots[j+vOrder] - vKnots[j+1]\n vec3 dPoint0 = ((outData.vOrder - 1) / gap) * (coefficient1 - coefficient0);\n while (j < jLimit)\n {{\n coefficientOffset += outData.uN;\n vec3 coefficient2 = texelFetch(uXYZCoefs, coefficientOffset{lod}).xyz;\n gap = texelFetch(uKnots, header + outData.uOrder+outData.uN + j+1+outData.vOrder).x - texelFetch(uKnots, header + outData.uOrder+outData.uN + j+2).x; // vKnots[j+1+vOrder] - vKnots[j+2]\n vec3 dPoint1 = ((outData.vOrder - 1) / gap) * (coefficient2 - coefficient1);\n gap = texelFetch(uKnots, header + outData.uOrder+outData.uN + j+outData.vOrder).x - texelFetch(uKnots, header + outData.uOrder+outData.uN + j+2).x; // vKnots[j+vOrder] - vKnots[j+2]\n vec3 d2Point = ((outData.vOrder - 2) / gap) * (dPoint1 - dPoint0);\n\n int k = j - outData.vKnot + 1 + outData.vOrder;\n sampleRateLeft[k] = max(sampleRateLeft[k], ComputeSampleRate(coefficient0, dPoint0, d2Point, minRate));\n sampleRateLeft[k] = max(sampleRateLeft[k], ComputeSampleRate(coefficient1, dPoint0, d2Point, minRate));\n sampleRateRight[k] = max(sampleRateRight[k], ComputeSampleRate(coefficient1, dPoint1, d2Point, minRate));\n sampleRateRight[k] = max(sampleRateRight[k], ComputeSampleRate(coefficient2, dPoint1, d2Point, minRate));\n\n coefficient0 = coefficient1;\n coefficient1 = coefficient2;\n dPoint0 = dPoint1;\n j++;\n }}\n }}\n for (int k = 1; k < outData.vOrder - 1; k++)\n {{\n sampleRate[0] = max(sampleRate[0], sampleRateRight[k-1]);\n sampleRate[0] = max(sampleRate[0], sampleRateLeft[k]);\n sampleRate[1] = max(sampleRate[1], sampleRateLeft[k]);\n sampleRate[1] = max(sampleRate[1], sampleRateRight[k]);\n sampleRate[2] = max(sampleRate[2], sampleRateRight[k]);\n sampleRate[2] = max(sampleRate[2], sampleRateLeft[k+1]);\n }}\n }}\n }}\n vSamples[0] = min(floor(0.5 + outData.vInterval * sampleRate[0]), maxSamples);\n vSamples[1] = min(floor(0.5 + outData.vInterval * sampleRate[1]), maxSamples);\n vSamples[2] = min(floor(0.5 + outData.vInterval * sampleRate[2]), maxSamples);\n }}\n "

surfaceTCShaderCode = '\n #version 410 core\n\n layout (vertices = 1) out;\n\n const int header = 4;\n\n in SplineInfo\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} inData[];\n\n uniform vec3 uScreenScale;\n uniform vec4 uClipBounds;\n uniform samplerBuffer uKnots;\n uniform sampler1D uXYZCoefs;\n\n patch out SplineInfo\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} outData;\n\n {computeSampleRateCode}\n\n {computeSurfaceSamplesCode}\n\n void main()\n {{\n outData = inData[gl_InvocationID];\n gl_out[gl_InvocationID].gl_Position = gl_in[gl_InvocationID].gl_Position;\n\n float uSamples[3];\n float vSamples[3];\n ComputeSurfaceSamples(gl_MaxTessGenLevel, uSamples, vSamples);\n gl_TessLevelOuter[0] = vSamples[0] > 0.0 ? vSamples[0] : vSamples[1];\n gl_TessLevelOuter[1] = uSamples[0] > 0.0 ? uSamples[0] : uSamples[1];\n gl_TessLevelOuter[2] = vSamples[2] > 0.0 ? vSamples[2] : vSamples[1];\n gl_TessLevelOuter[3] = uSamples[2] > 0.0 ? uSamples[2] : uSamples[1];\n gl_TessLevelInner[0] = uSamples[1];\n gl_TessLevelInner[1] = vSamples[1];\n }}\n '

surfaceTEShaderCode = '\n #version 410 core\n\n layout (quads) in;\n\n const int header = 4;\n\n patch in SplineInfo\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} inData;\n\n uniform mat4 uProjectionMatrix;\n uniform vec3 uScreenScale;\n uniform vec4 uFillColor;\n uniform samplerBuffer uKnots;\n uniform sampler1D uXYZCoefs;\n uniform samplerBuffer uColorCoefs;\n\n flat out SplineInfo\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} outData;\n out vec3 worldPosition;\n out vec3 splineColor;\n out vec3 normal;\n out vec2 parameters;\n out vec2 pixelPer;\n\n {computeBSplineCode}\n\n void main()\n {{\n float uBSpline[{maxOrder}];\n float duBSpline[{maxOrder}];\n parameters.x = inData.u + gl_TessCoord.x * inData.uInterval;\n ComputeBSpline(header, inData.uOrder, inData.uN, inData.uKnot, parameters.x, uBSpline, duBSpline);\n\n float vBSpline[{maxOrder}];\n float dvBSpline[{maxOrder}];\n parameters.y = inData.v + gl_TessCoord.y * inData.vInterval;\n ComputeBSpline(header + inData.uOrder+inData.uN, inData.vOrder, inData.vN, inData.vKnot, parameters.y, vBSpline, dvBSpline);\n\n {splineColorDeclarations}\n\n vec4 point = vec4(0.0, 0.0, 0.0, 1.0);\n vec3 duPoint = vec3(0.0, 0.0, 0.0);\n vec3 dvPoint = vec3(0.0, 0.0, 0.0);\n {initializeSplineColor}\n int j = (inData.vKnot - inData.vOrder) * inData.uN;\n for (int vB = 0; vB < inData.vOrder; vB++)\n {{\n int i = j + inData.uKnot - inData.uOrder;\n for (int uB = 0; uB < inData.uOrder; uB++)\n {{\n vec3 coefs = texelFetch(uXYZCoefs, i, 0).xyz;\n point.xyz += uBSpline[uB] * vBSpline[vB] * coefs;\n duPoint += duBSpline[uB] * vBSpline[vB] * coefs;\n dvPoint += uBSpline[uB] * dvBSpline[vB] * coefs;\n {computeSplineColor}\n i++;\n }}\n j += inData.uN;\n }}\n {postProcessSplineColor}\n\n outData = inData;\n\n worldPosition = point.xyz;\n normal = normalize(cross(duPoint, dvPoint));\n float zScale = 1.0 / (point.z * point.z);\n pixelPer.x = zScale * max(uScreenScale.x * abs(point.x * duPoint.z - duPoint.x * point.z), uScreenScale.y * abs(point.y * duPoint.z - duPoint.y * point.z));\n pixelPer.y = zScale * max(uScreenScale.x * abs(point.x * dvPoint.z - dvPoint.x * point.z), uScreenScale.y * abs(point.y * dvPoint.z - dvPoint.y * point.z));\n gl_Position = uProjectionMatrix * point;\n }}\n '

surfaceGeometryShaderCode = "\n #version 330 core\n\n layout( points ) in;\n layout( triangle_strip, max_vertices = 256 ) out;\n\n const int header = 4;\n\n in SplineInfo\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} inData[];\n\n uniform mat4 uProjectionMatrix;\n uniform vec3 uScreenScale;\n uniform vec4 uClipBounds;\n uniform vec4 uFillColor;\n uniform vec3 uLightDirection;\n uniform samplerBuffer uKnots;\n uniform samplerBuffer uXYZCoefs;\n uniform samplerBuffer uColorCoefs;\n\n out vec3 splineColor; // We restrict our output to color to reduce the number of components per vertex.\n\n struct SplineInfoStruct\n {{\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n }} outData; // We don't output outData (too many components per vertex), but we do use it in ComputeSurfaceSamples.\n\n {computeSampleRateCode}\n\n {computeSurfaceSamplesCode}\n\n {computeBSplineCode}\n\n void main() \n {{\n float uFullSamples[3];\n float vFullSamples[3];\n\n outData.uOrder = inData[0].uOrder;\n outData.vOrder = inData[0].vOrder;\n outData.uN = inData[0].uN;\n outData.vN = inData[0].vN;\n outData.uKnot = inData[0].uKnot;\n outData.vKnot = inData[0].vKnot;\n outData.u = inData[0].u;\n outData.v = inData[0].v;\n outData.uInterval = inData[0].uInterval;\n outData.vInterval = inData[0].vInterval;\n int maxVertices = gl_MaxGeometryTotalOutputComponents / 7; // The number of output components per vertex is 7 = position.xyzw + splineColor.rgb\n ComputeSurfaceSamples(maxVertices, uFullSamples, vFullSamples);\n\n if (uFullSamples[1] > 0.0 && vFullSamples[1] > 0.0)\n {{\n float alpha = maxVertices / (2.0 * uFullSamples[1] * (vFullSamples[1] + 1.0));\n if (alpha < 1.0)\n {{\n alpha = sqrt(alpha);\n uFullSamples[1] = alpha * uFullSamples[1];\n vFullSamples[1] = alpha * (vFullSamples[1] + 1.0) - 1.0;\n }}\n int uSamples = int(uFullSamples[1]);\n int vSamples = int(vFullSamples[1]);\n\n {splineColorDeclarations}\n\n float uBSpline[{maxOrder}];\n float duBSpline[{maxOrder}];\n float uBSplineNext[{maxOrder}];\n float duBSplineNext[{maxOrder}];\n float vBSpline[{maxOrder}];\n float dvBSpline[{maxOrder}];\n float deltaU = outData.uInterval / uSamples;\n float deltaV = outData.vInterval / vSamples;\n float u = outData.u;\n ComputeBSpline(header, outData.uOrder, outData.uN, outData.uKnot, u, uBSpline, duBSpline);\n\n int jOffset = (outData.vKnot - outData.vOrder) * outData.uN;\n int iOffset = outData.uKnot - outData.uOrder;\n\n for (int uSample = 0; uSample < uSamples; uSample++)\n {{\n float uNext = u + deltaU;\n ComputeBSpline(header, outData.uOrder, outData.uN, outData.uKnot, uNext, uBSplineNext, duBSplineNext);\n \n float v = outData.v;\n for (int vSample = 0; vSample <= vSamples; vSample++)\n {{\n ComputeBSpline(header + outData.uOrder+outData.uN, outData.vOrder, outData.vN, outData.vKnot, v, vBSpline, dvBSpline);\n\n vec4 point = vec4(0.0, 0.0, 0.0, 1.0);\n vec3 duPoint = vec3(0.0, 0.0, 0.0);\n vec3 dvPoint = vec3(0.0, 0.0, 0.0);\n {initializeSplineColor}\n int j = jOffset;\n for (int vB = 0; vB < outData.vOrder; vB++)\n {{\n int i = j + iOffset;\n for (int uB = 0; uB < outData.uOrder; uB++)\n {{\n vec3 coefs = texelFetch(uXYZCoefs, i).xyz;\n point.xyz += uBSpline[uB] * vBSpline[vB] * coefs;\n duPoint += duBSpline[uB] * vBSpline[vB] * coefs;\n dvPoint += uBSpline[uB] * dvBSpline[vB] * coefs;\n {computeSplineColor}\n i++;\n }}\n j += outData.uN;\n }}\n {postProcessSplineColor}\n vec3 normal = normalize(cross(duPoint, dvPoint));\n float specular = pow(abs(dot(normal, normalize(uLightDirection + point.xyz / length(point)))), 25.0);\n splineColor = (0.3 + 0.5 * abs(dot(normal, uLightDirection)) + 0.2 * specular) * splineColor;\n gl_Position = uProjectionMatrix * point;\n EmitVertex();\n\n point = vec4(0.0, 0.0, 0.0, 1.0);\n duPoint = vec3(0.0, 0.0, 0.0);\n dvPoint = vec3(0.0, 0.0, 0.0);\n {initializeSplineColor}\n j = jOffset;\n for (int vB = 0; vB < outData.vOrder; vB++)\n {{\n int i = j + iOffset;\n for (int uB = 0; uB < outData.uOrder; uB++)\n {{\n vec3 coefs = texelFetch(uXYZCoefs, i).xyz;\n point.xyz += uBSplineNext[uB] * vBSpline[vB] * coefs;\n duPoint += duBSplineNext[uB] * vBSpline[vB] * coefs;\n dvPoint += uBSplineNext[uB] * dvBSpline[vB] * coefs;\n {computeSplineColor}\n i++;\n }}\n j += outData.uN;\n }}\n {postProcessSplineColor}\n normal = normalize(cross(duPoint, dvPoint));\n specular = pow(abs(dot(normal, normalize(uLightDirection + point.xyz / length(point)))), 25.0);\n splineColor = (0.3 + 0.5 * abs(dot(normal, uLightDirection)) + 0.2 * specular) * splineColor;\n gl_Position = uProjectionMatrix * point;\n EmitVertex();\n\n v += deltaV; \n }}\n EndPrimitive();\n u = uNext;\n uBSpline = uBSplineNext;\n duBSpline = duBSplineNext;\n }}\n }}\n }}\n "

surfaceSimpleFragmentShaderCode = '\n #version 330 core\n \n in vec3 splineColor;\n uniform vec4 uFillColor;\n out vec4 color;\n \n void main() {\n color = vec4(splineColor, uFillColor.a);\n }\n '

surfaceFragmentShaderCode = '\n #version 410 core\n \n flat in SplineInfo\n {\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n } inData;\n in vec3 worldPosition;\n in vec3 splineColor;\n in vec3 normal;\n in vec2 parameters;\n in vec2 pixelPer;\n\n uniform vec4 uFillColor;\n uniform vec4 uLineColor;\n uniform vec3 uLightDirection;\n uniform int uOptions;\n\n out vec4 color;\n \n void main()\n {\n float specular = pow(abs(dot(normal, normalize(uLightDirection + worldPosition / length(worldPosition)))), 25.0);\n bool line = (uOptions & (1 << 2)) > 0 && (pixelPer.x * (parameters.x - inData.uFirst) < 1.5 || pixelPer.x * (inData.uFirst + inData.uSpan - parameters.x) < 1.5);\n line = line || ((uOptions & (1 << 2)) > 0 && (pixelPer.y * (parameters.y - inData.vFirst) < 1.5 || pixelPer.y * (inData.vFirst + inData.vSpan - parameters.y) < 1.5));\n line = line || ((uOptions & (1 << 3)) > 0 && pixelPer.x * (parameters.x - inData.u) < 1.5);\n line = line || ((uOptions & (1 << 3)) > 0 && pixelPer.y * (parameters.y - inData.v) < 1.5);\n color = line ? uLineColor : ((uOptions & (1 << 1)) > 0 ? vec4(splineColor, uFillColor.a) : vec4(0.0, 0.0, 0.0, 0.0));\n color.rgb = (0.3 + 0.5 * abs(dot(normal, uLightDirection)) + 0.2 * specular) * color.rgb;\n if (color.a == 0.0)\n discard;\n }\n '

trimmedSurfaceFragmentShaderCode = '\n #version 410 core\n \n flat in SplineInfo\n {\n int uOrder, vOrder;\n int uN, vN;\n int uKnot, vKnot;\n float uFirst, vFirst;\n float uSpan, vSpan;\n float u, v;\n float uInterval, vInterval;\n } inData;\n in vec3 worldPosition;\n in vec3 splineColor;\n in vec3 normal;\n in vec2 parameters;\n in vec2 pixelPer;\n\n uniform vec4 uFillColor;\n uniform vec4 uLineColor;\n uniform vec3 uLightDirection;\n uniform int uOptions;\n uniform sampler2D uTrimTextureMap;\n\n out vec4 color;\n \n void main()\n {\n \tvec2 tex = vec2((parameters.x - inData.uFirst) / inData.uSpan, (parameters.y - inData.vFirst) / inData.vSpan);\n float specular = pow(abs(dot(normal, normalize(uLightDirection + worldPosition / length(worldPosition)))), 25.0);\n bool line = (uOptions & (1 << 2)) > 0 && (pixelPer.x * (parameters.x - inData.uFirst) < 1.5 || pixelPer.x * (inData.uFirst + inData.uSpan - parameters.x) < 1.5);\n line = line || ((uOptions & (1 << 2)) > 0 && (pixelPer.y * (parameters.y - inData.vFirst) < 1.5 || pixelPer.y * (inData.vFirst + inData.vSpan - parameters.y) < 1.5));\n line = line || ((uOptions & (1 << 3)) > 0 && pixelPer.x * (parameters.x - inData.u) < 1.5);\n line = line || ((uOptions & (1 << 3)) > 0 && pixelPer.y * (parameters.y - inData.v) < 1.5);\n color = line ? uLineColor : ((uOptions & (1 << 1)) > 0 ? vec4(splineColor, uFillColor.a) : vec4(0.0, 0.0, 0.0, 0.0));\n color.rgb = (0.3 + 0.5 * abs(dot(normal, uLightDirection)) + 0.2 * specular) * color.rgb;\n if (color.a * texture(uTrimTextureMap, tex).r == 0.0)\n discard;\n }\n '

draw_func

animating

animate

frameCount

tessellationEnabled

glInitialized

origin

button

mode

@staticmethod

def compute_color_vector(r, g=None, b=None, a=None):

Return an float32 array with the specified color.

Parameters

r (float, int or array-like of floats or ints): The red value [0, 1] as a float, [0, 255] as an int, or the rgb or rgba value as floats or ints (default).
g (float or int): The green value [0, 1] as a float or [0, 255] as an int.
b (float or int): The blue value [0, 1] as a float or [0, 255] as an int.
a (float, int, or None): The alpha value [0, 1] as a float or [0, 255] as an int. If None then alpha is set to 1.

Returns

color (numpy.array): The specified color as an array of 4 float32 values between 0 and 1.

def SetDefaultView(self, eye, center, up):

Set the default view values used when resetting the view.

def SetBackgroundColor(self, r, g=None, b=None, a=None):

Set the background color for the frame.

Parameters

r (float, int or array-like of floats or ints): The red value [0, 1] as a float, [0, 255] as an int, or the rgb or rgba value as floats or ints (default).
g (float or int): The green value [0, 1] as a float or [0, 255] as an int.
b (float or int): The blue value [0, 1] as a float or [0, 255] as an int.
a (float, int, or None): The alpha value [0, 1] as a float or [0, 255] as an int. If None then alpha is set to 1.

def ResetView(self):

Update the view position to default values.

def initgl(self):

Handle OpenGLFrame initgl action. Calls CreateGLResources and HandleScreenSizeUpdate.

def CreateGLResources(self):

Create OpenGL resources upon creation of the frame and window recovery (un-minimize).

def ResetBounds(self):

Handle window size and/or clipping plane update (typically after a window resize).

def redraw(self):

Handle OpenGLFrame redraw action. Updates view and draws spline list.

def Unmap(self, event):

Handle window unmap.

def Update(self):

Update the frame, typically after updating the spline list.

def Reset(self):

Reset the view and update the frame.

def SetMode(self, mode):

Set the view mode for the frame.

Parameters

mode (int with the following values:):
- SplineOpenGLFrame.ROTATE Dragging the left mouse rotates the view.
- SplineOpenGLFrame.PAN Dragging the left mouse pans the view.
- SplineOpenGLFrame.FLY Dragging the left mouse flies toward the mouse position.

def SetScale(self, scale):

Set anchor distance and/or flying speed (depending on mode).

Parameters

scale (float): Scale between 0 and 1.

def SetAnimating(self, animating):

def MouseDown(self, event):

Handle mouse down event.

def MouseMove(self, event):

Handle mouse move event.

def MouseUp(self, event):

Handle mouse up event.

def MouseWheel(self, event):

Handle mouse wheel event.

@staticmethod

def make_drawable(spline):

Ensure a Spline can be drawn in a SplineOpenGLFrame. Converts 1D splines into 3D drawable curves, 2D splines into drawable surfaces (y-axis hold amplitude), and 3D splines into drawable solids.

Spline surfaces and solids with more than 3 dependent variables will have their added dimensions rendered as colors (up to 6 dependent variables are supported).

def tessellate2DSolid(self, solid):

Returns an array of triangles that tessellate the given 2D solid

@staticmethod

def ConvertRGBToHSV(r, g, b, a):

def DrawSpline(self, spline, transform):

Draw a spline within a SplineOpenGLFrame.

Inherited Members

pyopengltk.win32.OpenGLFrame: tkCreateContext; tkMakeCurrent; tkSwapBuffers
pyopengltk.base.BaseOpenGLFrame: cb; context_created; tkMap; printContext; tkExpose; tkResize
tkinter.BaseWidget: widgetName; destroy
tkinter.Misc: deletecommand; tk_strictMotif; tk_bisque; tk_setPalette; wait_variable; waitvar; wait_window; wait_visibility; setvar; getvar; getint; getdouble; getboolean; focus_set; focus; focus_force; focus_get; focus_displayof; focus_lastfor; tk_focusFollowsMouse; tk_focusNext; tk_focusPrev; after; after_idle; after_cancel; bell; clipboard_get; clipboard_clear; clipboard_append; grab_current; grab_release; grab_set; grab_set_global; grab_status; option_add; option_clear; option_get; option_readfile; selection_clear; selection_get; selection_handle; selection_own; selection_own_get; send; lower; tkraise; lift; winfo_atom; winfo_atomname; winfo_cells; winfo_children; winfo_class; winfo_colormapfull; winfo_containing; winfo_depth; winfo_exists; winfo_fpixels; winfo_geometry; winfo_height; winfo_id; winfo_interps; winfo_ismapped; winfo_manager; winfo_name; winfo_parent; winfo_pathname; winfo_pixels; winfo_pointerx; winfo_pointerxy; winfo_pointery; winfo_reqheight; winfo_reqwidth; winfo_rgb; winfo_rootx; winfo_rooty; winfo_screen; winfo_screencells; winfo_screendepth; winfo_screenheight; winfo_screenmmheight; winfo_screenmmwidth; winfo_screenvisual; winfo_screenwidth; winfo_server; winfo_toplevel; winfo_viewable; winfo_visual; winfo_visualid; winfo_visualsavailable; winfo_vrootheight; winfo_vrootwidth; winfo_vrootx; winfo_vrooty; winfo_width; winfo_x; winfo_y; update; update_idletasks; bindtags; bind; unbind; bind_all; unbind_all; bind_class; unbind_class; mainloop; quit; nametowidget; register; configure; config; cget; keys; pack_propagate; propagate; pack_slaves; slaves; place_slaves; grid_anchor; anchor; grid_bbox; bbox; grid_columnconfigure; columnconfigure; grid_location; grid_propagate; grid_rowconfigure; rowconfigure; grid_size; size; grid_slaves; event_add; event_delete; event_generate; event_info; image_names; image_types
tkinter.Pack: pack_configure; pack_forget; forget; pack_info; info; pack
tkinter.Place: place_configure; place_forget; place_info; place
tkinter.Grid: grid_configure; grid_forget; grid_remove; grid_info; grid; location

class ComputeProgram:

Compile compute program

ComputeProgram(frame)

computeProgram

uTransformMatrix

class CurveProgram:

Compile curve program

CurveProgram(frame)

aCurveParameters

uCurveProjectionMatrix

uCurveScreenScale

uCurveClipBounds

uCurveLineColor

def ResetBounds(self, frame):

Reset bounds and other frame configuration for curve program

class SurfaceProgram:

Compile surface program

SurfaceProgram( frame, trimmed, nDep, splineColorDeclarations, initializeSplineColor, computeSplineColor, postProcessSplineColor)

aSurfaceParameters

uSurfaceProjectionMatrix

uSurfaceScreenScale

uSurfaceClipBounds

uSurfaceFillColor

uSurfaceLineColor

uSurfaceOptions

def ResetBounds(self, frame):

Reset bounds and other frame configuration for surface program