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annotate mupdf-source/docs/reference/c/fitz/math.md @ 16:bd5bb0742cc3

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A "check" target that checks for all venv and host prerequisites
author Franz Glasner <fzglas.hg@dom66.de>
date Wed, 17 Sep 2025 21:11:25 +0200
parents b50eed0cc0ef
children
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1 # Math
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3 We obviously need to deal with lots of points, rectangles, and transformations
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4 in MuPDF.
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6 ## fz_point
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8 Points are fairly self evident. The `fz_make_point` utility function is for use
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9 with Visual Studio that doesn't yet support the C99 struct initializer syntax.
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11 typedef struct {
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12 float x, y;
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13 } fz_point;
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15 fz_point fz_make_point(float x, float y);
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17 ## fz_rect and fz_irect
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19 Rectangles are represented by two pairs of coordinates. The `x0`, `y0` pair
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20 have the smallest values, and in the normal coordinate space used by MuPDF that
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21 is the upper left corner. The `x1`, `y1` pair have the largest values,
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22 typically the lower right corner.
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24 In order to represent an infinite unbounded area, we use an `x0` that is larger
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25 than the `x1`.
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27 typedef struct {
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28 float x0, y0;
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29 float x1, y1;
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30 } fz_rect;
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32 const fz_rect fz_infinite_rect = { 1, 1, -1, -1 };
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33 const fz_rect fz_empty_rect = { 0, 0, 0, 0 };
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34 const fz_rect fz_unit_rect = { 0, 0, 1, 1 };
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36 fz_rect fz_make_rect(float x0, float y0, float x1, float y1);
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38 ## fz_matrix
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40 Our matrix structure is a row-major 3x3 matrix with the last column always
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41 `[ 0 0 1 ]`. This is represented as a struct with six fields, in the same order as
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42 in PDF and Postscript. The identity matrix is a global constant, for easy
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43 access.
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45 / a b 0 \
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46 | c d 0 |
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47 \ e f 1 /
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49 typedef struct {
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50 float a, b, c, d, e, f;
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51 } fz_matrix;
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53 const fz_matrix fz_identity = { 1, 0, 0, 1, 0, 0 };
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55 fz_matrix fz_make_matrix(float a, float b, float c, float d, float e, float f);
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57 ## fz_quad
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59 Sometimes we need to represent a non-axis aligned rectangular-ish area, such as
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60 the area covered by some rotated text. For this we use a quad representation,
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61 using a points for each of the upper/lower/left/right corners as seen from the
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62 reading direction of the text represented.
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64 typedef struct {
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65 fz_point ul, ur, ll, lr;
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66 } fz_quad;
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68 ## List of math functions
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70 These are simple mathematical operations that can not throw errors, so do not need a context argument.
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72 `float fz_abs(float f)`
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73 : Abs for float.
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75 `float fz_min(float a, float b)`
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76 : Min for float.
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78 `float fz_max(float a, float b)`
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79 : Max for float.
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81 `float fz_clamp(float f, float min, float max)`
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82 : Clamp for float.
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84 `int fz_absi(int i)`
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85 : Abs for integer.
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87 `int fz_mini(int a, int b)`
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88 : Min for integer.
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90 `int fz_maxi(int a, int b)`
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91 : Max for integer.
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93 `int fz_clampi(int i, int min, int max)`
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94 : Clamp for integer.
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96 `int fz_is_empty_rect(fz_rect r)`
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97 : Returns whether the supplied `fz_rect` is empty.
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99 `int fz_is_infinite_rect(fz_rect r)`
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100 : Returns whether the supplied `fz_rect` is infinite.
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parents:
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101
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102 `fz_matrix fz_concat(fz_matrix left, fz_matrix right)`
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Franz Glasner <fzglas.hg@dom66.de>
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103 : Concat two matrices and returns a new matrix.
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104
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105 `fz_matrix fz_scale(float sx, float sy)`
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parents:
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106 : Scale.
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parents:
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107
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108 `fz_matrix fz_shear(float sx, float sy)`
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parents:
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109 : Shear.
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parents:
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110
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111 `fz_matrix fz_rotate(float degrees)`
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parents:
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112 : Rotate.
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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113
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parents:
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114 `fz_matrix fz_translate(float tx, float ty)`
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115 : Translate.
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parents:
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116
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117 `fz_matrix fz_invert_matrix(fz_matrix matrix)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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118 : Invert a matrix.
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parents:
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119
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120 `fz_point fz_transform_point(fz_point point, fz_matrix m)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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121 : Transform a point according to the given matrix.
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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122
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123 `fz_point fz_transform_vector(fz_point vector, fz_matrix m)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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124 : Transform a vector according to the given matrix (ignores translation).
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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125
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126 `fz_rect fz_transform_rect(fz_rect rect, fz_matrix m)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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127 : Transform a `fz_rect` according to the given matrix.
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parents:
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128
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129 `fz_quad fz_transform_quad(fz_quad q, fz_matrix m)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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130 : Transform a `fz_quad` according to the given matrix.
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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131
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parents:
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132 `int fz_is_point_inside_rect(fz_point p, fz_rect r)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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133 : Returns whether the point is inside the supplied `fz_rect`.
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134
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parents:
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135 `int fz_is_point_inside_quad(fz_point p, fz_quad q)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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136 : Returns whether the point is inside the supplied `fz_quad`.
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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137
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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138 `fz_matrix fz_transform_page(fz_rect mediabox, float resolution, float rotate)`
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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139 : Create a transform matrix to draw a page at a given resolution and
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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140 rotation. The scaling factors are adjusted so that the page covers a
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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141 whole number of pixels. Resolution is given in dots per inch. Rotation
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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142 is expressed in 90 degree increments (`0`, `90`, `180`, and `270` are
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
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143 valid values).