1 #include <ft2build.h> |
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2 #include FT_FREETYPE_H |
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3 #include FT_TRIGONOMETRY_H |
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4 |
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5 #include <math.h> |
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6 #include <stdio.h> |
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7 |
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8 #define PI 3.14159265358979323846 |
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9 #define SPI (PI/FT_ANGLE_PI) |
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10 |
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11 /* the precision in 16.16 fixed float points of the checks. Expect */ |
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12 /* between 2 and 5 noise LSB bits during operations, due to */ |
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13 /* rounding errors.. */ |
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14 #define THRESHOLD 64 |
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15 |
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16 static error = 0; |
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17 |
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18 static void |
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19 test_cos( void ) |
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20 { |
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21 FT_Fixed f1, f2; |
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22 double d1, d2; |
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23 int i; |
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24 |
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25 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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26 { |
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27 f1 = FT_Cos(i); |
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28 d1 = f1/65536.0; |
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29 d2 = cos( i*SPI ); |
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30 f2 = (FT_Fixed)(d2*65536.0); |
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31 |
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32 if ( abs( f2-f1 ) > THRESHOLD ) |
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33 { |
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34 error = 1; |
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35 printf( "FT_Cos[%3d] = %.7f cos[%3d] = %.7f\n", |
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36 (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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37 } |
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38 } |
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39 } |
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40 |
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41 |
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42 |
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43 static void |
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44 test_sin( void ) |
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45 { |
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46 FT_Fixed f1, f2; |
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47 double d1, d2; |
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48 int i; |
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49 |
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50 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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51 { |
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52 f1 = FT_Sin(i); |
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53 d1 = f1/65536.0; |
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54 d2 = sin( i*SPI ); |
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55 f2 = (FT_Fixed)(d2*65536.0); |
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56 |
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57 if ( abs( f2-f1 ) > THRESHOLD ) |
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58 { |
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59 error = 1; |
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60 printf( "FT_Sin[%3d] = %.7f sin[%3d] = %.7f\n", |
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61 (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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62 } |
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63 } |
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64 } |
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65 |
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66 |
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67 static void |
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68 test_tan( void ) |
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69 { |
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70 FT_Fixed f1, f2; |
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71 double d1, d2; |
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72 int i; |
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73 |
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74 for ( i = 0; i < FT_ANGLE_PI2-0x2000000; i += 0x10000 ) |
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75 { |
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76 f1 = FT_Tan(i); |
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77 d1 = f1/65536.0; |
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78 d2 = tan( i*SPI ); |
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79 f2 = (FT_Fixed)(d2*65536.0); |
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80 |
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81 if ( abs( f2-f1 ) > THRESHOLD ) |
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82 { |
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83 error = 1; |
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84 printf( "FT_Tan[%3d] = %.7f tan[%3d] = %.7f\n", |
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85 (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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86 } |
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87 } |
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88 } |
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89 |
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90 |
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91 static void |
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92 test_atan2( void ) |
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93 { |
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94 FT_Fixed c2, s2; |
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95 double l, a, c1, s1; |
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96 int i, j; |
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97 |
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98 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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99 { |
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100 l = 5.0; |
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101 a = i*SPI; |
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102 |
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103 c1 = l * cos(a); |
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104 s1 = l * sin(a); |
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105 |
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106 c2 = (FT_Fixed)(c1*65536.0); |
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107 s2 = (FT_Fixed)(s1*65536.0); |
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108 |
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109 j = FT_Atan2( c2, s2 ); |
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110 if ( j < 0 ) |
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111 j += FT_ANGLE_2PI; |
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112 |
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113 if ( abs( i - j ) > 1 ) |
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114 { |
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115 printf( "FT_Atan2( %.7f, %.7f ) = %.5f, atan = %.5f\n", |
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116 c2/65536.0, s2/65536.0, j/65536.0, i/65536.0 ); |
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117 } |
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118 } |
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119 } |
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120 |
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121 static void |
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122 test_unit( void ) |
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123 { |
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124 FT_Vector v; |
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125 double a, c1, s1; |
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126 FT_Fixed c2, s2; |
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127 int i; |
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128 |
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129 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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130 { |
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131 FT_Vector_Unit( &v, i ); |
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132 a = ( i*SPI ); |
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133 c1 = cos(a); |
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134 s1 = sin(a); |
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135 c2 = (FT_Fixed)(c1*65536.0); |
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136 s2 = (FT_Fixed)(s1*65536.0); |
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137 |
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138 if ( abs( v.x-c2 ) > THRESHOLD || |
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139 abs( v.y-s2 ) > THRESHOLD ) |
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140 { |
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141 error = 1; |
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142 printf( "FT_Vector_Unit[%3d] = ( %.7f, %.7f ) vec = ( %.7f, %.7f )\n", |
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143 (i >> 16), |
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144 v.x/65536.0, v.y/65536.0, |
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145 c1, s1 ); |
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146 } |
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147 } |
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148 } |
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149 |
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150 |
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151 static void |
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152 test_length( void ) |
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153 { |
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154 FT_Vector v; |
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155 FT_Fixed l, l2; |
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156 int i; |
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157 |
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158 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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159 { |
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160 l = (FT_Fixed)(500.0*65536.0); |
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161 v.x = (FT_Fixed)( l * cos( i*SPI ) ); |
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162 v.y = (FT_Fixed)( l * sin( i*SPI ) ); |
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163 l2 = FT_Vector_Length( &v ); |
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164 |
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165 if ( abs( l2-l ) > THRESHOLD ) |
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166 { |
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167 error = 1; |
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168 printf( "FT_Length( %.7f, %.7f ) = %.5f, length = %.5f\n", |
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169 v.x/65536.0, v.y/65536.0, l2/65536.0, l/65536.0 ); |
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170 } |
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171 } |
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172 } |
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173 |
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174 |
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175 static void |
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176 test_rotate( void ) |
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177 { |
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178 FT_Fixed c2, s2, c4, s4; |
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179 FT_Vector v; |
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180 double l, ra, a, c1, s1, cra, sra, c3, s3; |
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181 int i, j, rotate; |
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182 |
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183 for ( rotate = 0; rotate < FT_ANGLE_2PI; rotate += 0x10000 ) |
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184 { |
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185 ra = rotate*SPI; |
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186 cra = cos( ra ); |
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187 sra = sin( ra ); |
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188 |
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189 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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190 { |
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191 l = 500.0; |
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192 a = i*SPI; |
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193 |
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194 c1 = l * cos(a); |
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195 s1 = l * sin(a); |
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196 |
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197 v.x = c2 = (FT_Fixed)(c1*65536.0); |
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198 v.y = s2 = (FT_Fixed)(s1*65536.0); |
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199 |
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200 FT_Vector_Rotate( &v, rotate ); |
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201 |
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202 c3 = c1 * cra - s1 * sra; |
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203 s3 = c1 * sra + s1 * cra; |
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204 |
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205 c4 = (FT_Fixed)(c3*65536.0); |
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206 s4 = (FT_Fixed)(s3*65536.0); |
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207 |
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208 if ( abs( c4 - v.x ) > THRESHOLD || |
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209 abs( s4 - v.y ) > THRESHOLD ) |
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210 { |
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211 error = 1; |
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212 printf( "FT_Rotate( (%.7f,%.7f), %.5f ) = ( %.7f, %.7f ), rot = ( %.7f, %.7f )\n", |
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213 c1, s1, ra, |
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214 c2/65536.0, s2/65536.0, |
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215 c4/65536.0, s4/65536.0 ); |
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216 } |
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217 } |
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218 } |
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219 } |
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220 |
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221 |
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222 int main( void ) |
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223 { |
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224 test_cos(); |
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225 test_sin(); |
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226 test_tan(); |
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227 test_atan2(); |
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228 test_unit(); |
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229 test_length(); |
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230 test_rotate(); |
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231 |
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232 if (!error) |
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233 printf( "trigonometry test ok !\n" ); |
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234 |
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235 return !error; |
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236 } |
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