// Copyright 2025-2026 肖其顿 (XIAO QI DUN) // // 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 ofdgo import ( "fmt" "slices" "strconv" "strings" basegeom "github.com/xiaoqidun/ofdgo/internal/base/geom" ) // IdentityMatrix 单位矩阵 var IdentityMatrix = Matrix{1, 0, 0, 1, 0, 0} // Box 矩形区域 type Box = basegeom.Box // Point 平面坐标点 type Point = basegeom.Point // Matrix 2D仿射变换矩阵 type Matrix struct { a, b, c, d, e, f float64 } // ParseBox 解析Box字符串 // 入参: s 字符串 // 返回: Box 矩形对象, error 错误信息 func ParseBox(s string) (Box, error) { var values [4]float64 i := 0 for part := range strings.FieldsSeq(s) { if i == len(values) { return Box{}, fmt.Errorf("invalid box: %s", s) } value, err := strconv.ParseFloat(part, 64) if err != nil { return Box{}, fmt.Errorf("invalid box: %s", s) } values[i] = value i++ } if i != len(values) { return Box{}, fmt.Errorf("invalid box: %s", s) } return Box{X: values[0], Y: values[1], W: values[2], H: values[3]}, nil } // MatrixFromValues 从a、b、c、d、e、f构造矩阵,不经过文本格式化 // 入参: values 矩阵分量 // 返回: Matrix 变换矩阵 func MatrixFromValues(values [6]float64) Matrix { return Matrix{a: values[0], b: values[1], c: values[2], d: values[3], e: values[4], f: values[5]} } // Values 返回a、b、c、d、e、f的独立副本,保留原始浮点精度 // 返回: [6]float64 矩阵分量 func (m Matrix) Values() [6]float64 { return [6]float64{m.a, m.b, m.c, m.d, m.e, m.f} } // NewMatrix 解析CTM字符串 // 入参: s 字符串 // 返回: Matrix 矩阵对象 func NewMatrix(s string) Matrix { floats := parseFloats(s) if len(floats) != 6 { return IdentityMatrix } return Matrix{ a: floats[0], b: floats[1], c: floats[2], d: floats[3], e: floats[4], f: floats[5], } } // Multiply 矩阵乘法 (m * o) // 入参: o 右侧矩阵 // 返回: Matrix 结果矩阵 func (m Matrix) Multiply(o Matrix) Matrix { return MatrixFromValues(basegeom.MatrixFromValues(m.Values()).Multiply(basegeom.MatrixFromValues(o.Values())).Values()) } // Transform 应用变换矩阵 // 入参: x X坐标, y Y坐标 // 返回: float64 变换后X, float64 变换后Y func (m Matrix) Transform(x, y float64) (float64, float64) { return basegeom.MatrixFromValues(m.Values()).Transform(x, y) } // TransformBox 获取矩形经仿射变换后的轴对齐边界 // 入参: box 原始矩形范围 // 返回: Box 变换后的轴对齐边界 func (m Matrix) TransformBox(box Box) Box { return basegeom.MatrixFromValues(m.Values()).TransformBox(box) } // String 返回标准CTM属性值 // 返回: string 六个空格分隔的矩阵分量 func (m Matrix) String() string { return fmt.Sprintf("%s %s %s %s %s %s", ofdNumber(m.a), ofdNumber(m.b), ofdNumber(m.c), ofdNumber(m.d), ofdNumber(m.e), ofdNumber(m.f)) } // Invert 求仿射矩阵的逆变换 // 返回: Matrix 逆矩阵,失败时返回单位矩阵, bool 是否存在有限逆矩阵 func (m Matrix) Invert() (Matrix, bool) { result, ok := basegeom.MatrixFromValues(m.Values()).Invert() if !ok { return IdentityMatrix, false } return MatrixFromValues(result.Values()), true } // TranslationMatrix 构造平移矩阵 // 入参: x X轴偏移, y Y轴偏移 // 返回: Matrix 平移矩阵 func TranslationMatrix(x, y float64) Matrix { return MatrixFromValues(basegeom.TranslationMatrix(x, y).Values()) } // YScale 获取Y轴缩放比例 // 返回: float64 缩放比例 func (m Matrix) YScale() float64 { return basegeom.MatrixFromValues(m.Values()).YScale() } // parseFloats 解析浮点数数组 // 入参: s 字符串 // 返回: []float64 浮点数数组 func parseFloats(s string) []float64 { if s == "" { return nil } if strings.Contains(s, "g") { return parseFloatsWithG(s) } s = strings.ReplaceAll(s, ",", " ") parts := strings.Fields(s) result := make([]float64, 0, len(parts)) for _, p := range parts { if v, err := strconv.ParseFloat(p, 64); err == nil { result = append(result, v) } } return result } // parseFloatsWithG 解析带g的压缩浮点数数组 // 入参: s 字符串 // 返回: []float64 浮点数数组 func parseFloatsWithG(s string) []float64 { var result []float64 gFlag := false gCount := 0 for p := range strings.FieldsSeq(s) { if p == "g" { gFlag = true continue } if gFlag { var err error gCount, err = strconv.Atoi(p) if err != nil { gCount = 0 } gFlag = false continue } if gCount > 0 { v, _ := strconv.ParseFloat(p, 64) result = slices.Grow(result, gCount) for j := 0; j < gCount; j++ { result = append(result, v) } gCount = 0 } else { if v, err := strconv.ParseFloat(p, 64); err == nil { result = append(result, v) } } } return result } // parseInts 解析整数数组 // 入参: s 字符串 // 返回: []int 整数数组 func parseInts(s string) []int { if s == "" { return nil } s = strings.ReplaceAll(s, ",", " ") parts := strings.Fields(s) result := make([]int, 0, len(parts)) for _, p := range parts { if v, err := strconv.Atoi(p); err == nil { result = append(result, v) } } return result }