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Rev | Author | Line No. | Line |
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4349 | Serge | 1 | #include |
2 | #include FT_FREETYPE_H |
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3 | #include FT_TRIGONOMETRY_H |
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4 | |||
5 | #include |
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6 | #include |
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7 | |||
8 | #define PI 3.14159265358979323846 |
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9 | #define SPI (PI/FT_ANGLE_PI) |
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10 | |||
11 | /* the precision in 16.16 fixed-point checks. Expect between 2 and 5 */ |
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12 | /* noise LSB bits during operations, due to rounding errors.. */ |
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13 | #define THRESHOLD 64 |
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14 | |||
15 | static error = 0; |
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16 | |||
17 | static void |
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18 | test_cos( void ) |
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19 | { |
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20 | int i; |
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21 | |||
22 | |||
23 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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24 | { |
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25 | FT_Fixed f1, f2; |
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26 | double d2; |
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27 | |||
28 | |||
29 | f1 = FT_Cos(i); |
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30 | d2 = cos( i*SPI ); |
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31 | f2 = (FT_Fixed)(d2*65536.0); |
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32 | |||
33 | if ( abs( f2-f1 ) > THRESHOLD ) |
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34 | { |
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35 | error = 1; |
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36 | printf( "FT_Cos[%3d] = %.7f cos[%3d] = %.7f\n", |
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37 | (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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38 | } |
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39 | } |
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40 | } |
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41 | |||
42 | |||
43 | static void |
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44 | test_sin( void ) |
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45 | { |
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46 | int i; |
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47 | |||
48 | |||
49 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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50 | { |
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51 | FT_Fixed f1, f2; |
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52 | double d2; |
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53 | |||
54 | |||
55 | f1 = FT_Sin(i); |
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56 | d2 = sin( i*SPI ); |
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57 | f2 = (FT_Fixed)(d2*65536.0); |
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58 | |||
59 | if ( abs( f2-f1 ) > THRESHOLD ) |
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60 | { |
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61 | error = 1; |
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62 | printf( "FT_Sin[%3d] = %.7f sin[%3d] = %.7f\n", |
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63 | (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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64 | } |
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65 | } |
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66 | } |
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67 | |||
68 | |||
69 | static void |
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70 | test_tan( void ) |
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71 | { |
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72 | int i; |
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73 | |||
74 | |||
75 | for ( i = 0; i < FT_ANGLE_PI2-0x2000000; i += 0x10000 ) |
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76 | { |
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77 | FT_Fixed f1, f2; |
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78 | double d2; |
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79 | |||
80 | |||
81 | f1 = FT_Tan(i); |
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82 | d2 = tan( i*SPI ); |
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83 | f2 = (FT_Fixed)(d2*65536.0); |
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84 | |||
85 | if ( abs( f2-f1 ) > THRESHOLD ) |
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86 | { |
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87 | error = 1; |
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88 | printf( "FT_Tan[%3d] = %.7f tan[%3d] = %.7f\n", |
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89 | (i >> 16), f1/65536.0, (i >> 16), d2 ); |
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90 | } |
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91 | } |
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92 | } |
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93 | |||
94 | |||
95 | static void |
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96 | test_atan2( void ) |
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97 | { |
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98 | int i; |
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99 | |||
100 | |||
101 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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102 | { |
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103 | FT_Fixed c2, s2; |
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104 | double l, a, c1, s1; |
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105 | int j; |
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106 | |||
107 | |||
108 | l = 5.0; |
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109 | a = i*SPI; |
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110 | |||
111 | c1 = l * cos(a); |
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112 | s1 = l * sin(a); |
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113 | |||
114 | c2 = (FT_Fixed)(c1*65536.0); |
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115 | s2 = (FT_Fixed)(s1*65536.0); |
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116 | |||
117 | j = FT_Atan2( c2, s2 ); |
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118 | if ( j < 0 ) |
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119 | j += FT_ANGLE_2PI; |
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120 | |||
121 | if ( abs( i - j ) > 1 ) |
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122 | { |
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123 | printf( "FT_Atan2( %.7f, %.7f ) = %.5f, atan = %.5f\n", |
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124 | c2/65536.0, s2/65536.0, j/65536.0, i/65536.0 ); |
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125 | } |
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126 | } |
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127 | } |
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128 | |||
129 | |||
130 | static void |
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131 | test_unit( void ) |
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132 | { |
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133 | int i; |
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134 | |||
135 | |||
136 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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137 | { |
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138 | FT_Vector v; |
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139 | double a, c1, s1; |
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140 | FT_Fixed c2, s2; |
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141 | |||
142 | |||
143 | FT_Vector_Unit( &v, i ); |
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144 | a = ( i*SPI ); |
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145 | c1 = cos(a); |
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146 | s1 = sin(a); |
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147 | c2 = (FT_Fixed)(c1*65536.0); |
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148 | s2 = (FT_Fixed)(s1*65536.0); |
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149 | |||
150 | if ( abs( v.x-c2 ) > THRESHOLD || |
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151 | abs( v.y-s2 ) > THRESHOLD ) |
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152 | { |
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153 | error = 1; |
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154 | printf( "FT_Vector_Unit[%3d] = ( %.7f, %.7f ) vec = ( %.7f, %.7f )\n", |
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155 | (i >> 16), |
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156 | v.x/65536.0, v.y/65536.0, |
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157 | c1, s1 ); |
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158 | } |
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159 | } |
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160 | } |
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161 | |||
162 | |||
163 | static void |
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164 | test_length( void ) |
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165 | { |
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166 | int i; |
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167 | |||
168 | |||
169 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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170 | { |
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171 | FT_Vector v; |
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172 | FT_Fixed l, l2; |
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173 | |||
174 | |||
175 | l = (FT_Fixed)(500.0*65536.0); |
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176 | v.x = (FT_Fixed)( l * cos( i*SPI ) ); |
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177 | v.y = (FT_Fixed)( l * sin( i*SPI ) ); |
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178 | l2 = FT_Vector_Length( &v ); |
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179 | |||
180 | if ( abs( l2-l ) > THRESHOLD ) |
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181 | { |
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182 | error = 1; |
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183 | printf( "FT_Length( %.7f, %.7f ) = %.5f, length = %.5f\n", |
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184 | v.x/65536.0, v.y/65536.0, l2/65536.0, l/65536.0 ); |
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185 | } |
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186 | } |
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187 | } |
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188 | |||
189 | |||
190 | static void |
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191 | test_rotate( void ) |
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192 | { |
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193 | int rotate; |
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194 | |||
195 | |||
196 | for ( rotate = 0; rotate < FT_ANGLE_2PI; rotate += 0x10000 ) |
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197 | { |
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198 | double ra, cra, sra; |
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199 | int i; |
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200 | |||
201 | |||
202 | ra = rotate*SPI; |
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203 | cra = cos( ra ); |
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204 | sra = sin( ra ); |
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205 | |||
206 | for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 ) |
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207 | { |
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208 | FT_Fixed c2, s2, c4, s4; |
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209 | FT_Vector v; |
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210 | double l, a, c1, s1, c3, s3; |
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211 | |||
212 | |||
213 | l = 500.0; |
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214 | a = i*SPI; |
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215 | |||
216 | c1 = l * cos(a); |
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217 | s1 = l * sin(a); |
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218 | |||
219 | v.x = c2 = (FT_Fixed)(c1*65536.0); |
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220 | v.y = s2 = (FT_Fixed)(s1*65536.0); |
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221 | |||
222 | FT_Vector_Rotate( &v, rotate ); |
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223 | |||
224 | c3 = c1 * cra - s1 * sra; |
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225 | s3 = c1 * sra + s1 * cra; |
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226 | |||
227 | c4 = (FT_Fixed)(c3*65536.0); |
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228 | s4 = (FT_Fixed)(s3*65536.0); |
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229 | |||
230 | if ( abs( c4 - v.x ) > THRESHOLD || |
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231 | abs( s4 - v.y ) > THRESHOLD ) |
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232 | { |
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233 | error = 1; |
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234 | printf( "FT_Rotate( (%.7f,%.7f), %.5f ) = ( %.7f, %.7f ), rot = ( %.7f, %.7f )\n", |
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235 | c1, s1, ra, |
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236 | c2/65536.0, s2/65536.0, |
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237 | c4/65536.0, s4/65536.0 ); |
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238 | } |
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239 | } |
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240 | } |
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241 | } |
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242 | |||
243 | |||
244 | int main( void ) |
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245 | { |
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246 | test_cos(); |
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247 | test_sin(); |
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248 | test_tan(); |
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249 | test_atan2(); |
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250 | test_unit(); |
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251 | test_length(); |
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252 | test_rotate(); |
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253 | |||
254 | if (!error) |
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255 | printf( "trigonometry test ok !\n" ); |
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256 | |||
257 | return !error; |
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258 | }>>>>>>>>> |