# -*- coding: utf-8 -*-
"""Calculate the perimeter of a glyph."""

from fontTools.pens.basePen import BasePen
from fontTools.misc.bezierTools import approximateQuadraticArcLengthC, calcQuadraticArcLengthC, approximateCubicArcLengthC, calcCubicArcLengthC
import math


__all__ = ["PerimeterPen"]


def _distance(p0, p1):
	return math.hypot(p0[0] - p1[0], p0[1] - p1[1])

class PerimeterPen(BasePen):

	def __init__(self, glyphset=None, tolerance=0.005):
		BasePen.__init__(self, glyphset)
		self.value = 0
		self.tolerance = tolerance

		# Choose which algorithm to use for quadratic and for cubic.
		# Quadrature is faster but has fixed error characteristic with no strong
		# error bound.  The cutoff points are derived empirically.
		self._addCubic = self._addCubicQuadrature if tolerance >= 0.0015 else self._addCubicRecursive
		self._addQuadratic = self._addQuadraticQuadrature if tolerance >= 0.00075 else self._addQuadraticExact

	def _moveTo(self, p0):
		self.__startPoint = p0

	def _closePath(self):
		p0 = self._getCurrentPoint()
		if p0 != self.__startPoint:
			self._lineTo(self.__startPoint)

	def _lineTo(self, p1):
		p0 = self._getCurrentPoint()
		self.value += _distance(p0, p1)

	def _addQuadraticExact(self, c0, c1, c2):
		self.value += calcQuadraticArcLengthC(c0, c1, c2)

	def _addQuadraticQuadrature(self, c0, c1, c2):
		self.value += approximateQuadraticArcLengthC(c0, c1, c2)

	def _qCurveToOne(self, p1, p2):
		p0 = self._getCurrentPoint()
		self._addQuadratic(complex(*p0), complex(*p1), complex(*p2))

	def _addCubicRecursive(self, c0, c1, c2, c3):
		self.value += calcCubicArcLengthC(c0, c1, c2, c3, self.tolerance)

	def _addCubicQuadrature(self, c0, c1, c2, c3):
		self.value += approximateCubicArcLengthC(c0, c1, c2, c3)

	def _curveToOne(self, p1, p2, p3):
		p0 = self._getCurrentPoint()
		self._addCubic(complex(*p0), complex(*p1), complex(*p2), complex(*p3))
