/*
Copyright 2018 The pdfcpu Authors.

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

	http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

package pdfcpu

import "fmt"

type matrix [3][3]float64

var identMatrix = matrix{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}

func (m matrix) multiply(n matrix) matrix {
	var p matrix
	for i := 0; i < 3; i++ {
		for j := 0; j < 3; j++ {
			for k := 0; k < 3; k++ {
				p[i][j] += m[i][k] * n[k][j]
			}
		}
	}
	return p
}

func (m matrix) String() string {
	return fmt.Sprintf("%3.2f %3.2f %3.2f\n%3.2f %3.2f %3.2f\n%3.2f %3.2f %3.2f\n",
		m[0][0], m[0][1], m[0][2],
		m[1][0], m[1][1], m[1][2],
		m[2][0], m[2][1], m[2][2])
}

func calcTransformMatrix(sx, sy, sin, cos, dx, dy float64) matrix {
	// Scale
	m1 := identMatrix
	m1[0][0] = sx
	m1[1][1] = sy
	// Rotate
	m2 := identMatrix
	m2[0][0] = cos
	m2[0][1] = sin
	m2[1][0] = -sin
	m2[1][1] = cos
	// Translate
	m3 := identMatrix
	m3[2][0] = dx
	m3[2][1] = dy
	return m1.multiply(m2).multiply(m3)
}