def point(path, t, segments=None): """Returns coordinates for point at t on the path. Gets the length of the path, based on the length of each curve and line in the path. Determines in what segment t falls. Gets the point on that segment. When you supply the list of segment lengths yourself, as returned from length(path, segmented=True), point() works about thirty times faster in a for-loop, since it doesn't need to recalculate the length during each iteration. Note that this has been deprecated: the Bezier now caches the segment lengths the moment you use them. >>> path = Bezier(None) >>> point(path, 0.0) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.moveto(0, 0) >>> point(path, 0.0) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.lineto(100, 0) >>> point(path, 0.0) Curve(LINETO, ((0.0, 0.0),)) >>> point(path, 0.1) Curve(LINETO, ((10.0, 0.0),)) """ from ..gfx.bezier import Curve if len(path) == 0: raise DeviceError, "The given path is empty" i, t, closeto = _locate(path, t, segments=segments) x0, y0 = path[i].x, path[i].y p1 = path[i+1] if p1.cmd == CLOSE: x, y = linepoint(t, x0, y0, closeto.x, closeto.y) return Curve(LINETO, ((x, y),)) elif p1.cmd == LINETO: x1, y1 = p1.x, p1.y x, y = linepoint(t, x0, y0, x1, y1) return Curve(LINETO, ((x, y),)) elif p1.cmd == CURVETO: x3, y3, x1, y1, x2, y2 = p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y x, y, c1x, c1y, c2x, c2y = curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3) return Curve(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y))) else: raise DeviceError, "Unknown cmd for p1 %s" % p1
def point(path, t, segments=None): """Returns coordinates for point at t on the path. Gets the length of the path, based on the length of each curve and line in the path. Determines in what segment t falls. Gets the point on that segment. When you supply the list of segment lengths yourself, as returned from length(path, segmented=True), point() works about thirty times faster in a for-loop, since it doesn't need to recalculate the length during each iteration. Note that this has been deprecated: the Bezier now caches the segment lengths the moment you use them. >>> path = Bezier(None) >>> point(path, 0.0) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.moveto(0, 0) >>> point(path, 0.0) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.lineto(100, 0) >>> point(path, 0.0) Curve(LINETO, ((0.0, 0.0),)) >>> point(path, 0.1) Curve(LINETO, ((10.0, 0.0),)) """ from ..gfx.bezier import Curve if len(path) == 0: raise DeviceError, "The given path is empty" i, t, closeto = _locate(path, t, segments=segments) x0, y0 = path[i].x, path[i].y p1 = path[i + 1] if p1.cmd == CLOSE: x, y = linepoint(t, x0, y0, closeto.x, closeto.y) return Curve(LINETO, ((x, y), )) elif p1.cmd == LINETO: x1, y1 = p1.x, p1.y x, y = linepoint(t, x0, y0, x1, y1) return Curve(LINETO, ((x, y), )) elif p1.cmd == CURVETO: x3, y3, x1, y1, x2, y2 = p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y x, y, c1x, c1y, c2x, c2y = curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3) return Curve(CURVETO, ((c1x, c1y), (c2x, c2y), (x, y))) else: raise DeviceError, "Unknown cmd for p1 %s" % p1
def insert_point(path, t): """Returns a path copy with an extra point at t. >>> path = Bezier(None) >>> path.moveto(0, 0) >>> insert_point(path, 0.1) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.moveto(0, 0) >>> insert_point(path, 0.2) Traceback (most recent call last): ... DeviceError: The given path is empty >>> path.lineto(100, 50) >>> len(path) 2 >>> path = insert_point(path, 0.5) >>> len(path) 3 >>> path[1] Curve(LINETO, ((50.0, 25.0),)) >>> path = Bezier(None) >>> path.moveto(0, 100) >>> path.curveto(0, 50, 100, 50, 100, 100) >>> path = insert_point(path, 0.5) >>> path[1] Curve(LINETO, ((25.0, 62.5), (0.0, 75.0), (50.0, 62.5)) """ i, t, closeto = _locate(path, t) x0 = path[i].x y0 = path[i].y p1 = path[i+1] p1cmd, x3, y3, x1, y1, x2, y2 = p1.cmd, p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y if p1cmd == CLOSE: pt_cmd = LINETO pt_x, pt_y = linepoint(t, x0, y0, closeto.x, closeto.y) elif p1cmd == LINETO: pt_cmd = LINETO pt_x, pt_y = linepoint(t, x0, y0, x3, y3) elif p1cmd == CURVETO: pt_cmd = CURVETO pt_x, pt_y, pt_c1x, pt_c1y, pt_c2x, pt_c2y, pt_h1x, pt_h1y, pt_h2x, pt_h2y = \ curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3, True) else: raise DeviceError, "Locate should not return a MOVETO" new_path = Bezier(None) new_path.moveto(path[0].x, path[0].y) for j in range(1, len(path)): if j == i+1: if pt_cmd == CURVETO: new_path.curveto(pt_h1x, pt_h1y, pt_c1x, pt_c1y, pt_x, pt_y) new_path.curveto(pt_c2x, pt_c2y, pt_h2x, pt_h2y, path[j].x, path[j].y) elif pt_cmd == LINETO: new_path.lineto(pt_x, pt_y) if path[j].cmd != CLOSE: new_path.lineto(path[j].x, path[j].y) else: new_path.closepath() else: raise DeviceError, "Didn't expect pt_cmd %s here" % pt_cmd else: if path[j].cmd == MOVETO: new_path.moveto(path[j].x, path[j].y) if path[j].cmd == LINETO: new_path.lineto(path[j].x, path[j].y) if path[j].cmd == CURVETO: new_path.curveto(path[j].ctrl1.x, path[j].ctrl1.y, path[j].ctrl2.x, path[j].ctrl2.y, path[j].x, path[j].y) if path[j].cmd == CLOSE: new_path.closepath() return new_path
def insert_point(path, t): """Returns a path copy with an extra point at t. >>> path = BezierPath(None) >>> path.moveto(0, 0) >>> insert_point(path, 0.1) Traceback (most recent call last): ... NodeBoxError: The given path is empty >>> path.moveto(0, 0) >>> insert_point(path, 0.2) Traceback (most recent call last): ... NodeBoxError: The given path is empty >>> path.lineto(100, 50) >>> len(path) 2 >>> path = insert_point(path, 0.5) >>> len(path) 3 >>> path[1] PathElement(LINETO, ((50.0, 25.0),)) >>> path = BezierPath(None) >>> path.moveto(0, 100) >>> path.curveto(0, 50, 100, 50, 100, 100) >>> path = insert_point(path, 0.5) >>> path[1] PathElement(LINETO, ((25.0, 62.5), (0.0, 75.0), (50.0, 62.5)) """ i, t, closeto = _locate(path, t) x0 = path[i].x y0 = path[i].y p1 = path[i + 1] p1cmd, x3, y3, x1, y1, x2, y2 = p1.cmd, p1.x, p1.y, p1.ctrl1.x, p1.ctrl1.y, p1.ctrl2.x, p1.ctrl2.y if p1cmd == CLOSE: pt_cmd = LINETO pt_x, pt_y = linepoint(t, x0, y0, closeto.x, closeto.y) elif p1cmd == LINETO: pt_cmd = LINETO pt_x, pt_y = linepoint(t, x0, y0, x3, y3) elif p1cmd == CURVETO: pt_cmd = CURVETO pt_x, pt_y, pt_c1x, pt_c1y, pt_c2x, pt_c2y, pt_h1x, pt_h1y, pt_h2x, pt_h2y = \ curvepoint(t, x0, y0, x1, y1, x2, y2, x3, y3, True) else: raise NodeBoxError, "Locate should not return a MOVETO" new_path = BezierPath(None) new_path.moveto(path[0].x, path[0].y) for j in range(1, len(path)): if j == i + 1: if pt_cmd == CURVETO: new_path.curveto(pt_h1x, pt_h1y, pt_c1x, pt_c1y, pt_x, pt_y) new_path.curveto(pt_c2x, pt_c2y, pt_h2x, pt_h2y, path[j].x, path[j].y) elif pt_cmd == LINETO: new_path.lineto(pt_x, pt_y) if path[j].cmd != CLOSE: new_path.lineto(path[j].x, path[j].y) else: new_path.closepath() else: raise NodeBoxError, "Didn't expect pt_cmd %s here" % pt_cmd else: if path[j].cmd == MOVETO: new_path.moveto(path[j].x, path[j].y) if path[j].cmd == LINETO: new_path.lineto(path[j].x, path[j].y) if path[j].cmd == CURVETO: new_path.curveto(path[j].ctrl1.x, path[j].ctrl1.y, path[j].ctrl2.x, path[j].ctrl2.y, path[j].x, path[j].y) if path[j].cmd == CLOSE: new_path.closepath() return new_path