FBX SDK Reference Guide: const.h Source File
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OR RELATING TO THE DATA OR ITS USE OR ANY OTHER PERFORMANCE, 00031 WHETHER OR NOT AUTODESK HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH LOSS 00032 OR DAMAGE. 00033 00034 **************************************************************************************/ 00035 00036 #ifndef FBXFILESDK_COMPONENTS_KBASELIB_KMATH_CONST_H 00037 #define FBXFILESDK_COMPONENTS_KBASELIB_KMATH_CONST_H 00038 00039 //***************************************************************************************************************** 00040 // mathematical constants 00041 //***************************************************************************************************************** 00042 00043 #include <fbxfilesdk/components/kbaselib/karch/types.h> 00044 00045 //***************************************************************************************************************** 00046 // common constants 00047 //***************************************************************************************************************** 00048 00049 #ifndef K_ZERO 00050 #define K_ZERO 0 // 0 00051 #endif 00052 #ifndef K_ONE 00053 #define K_ONE 1 // 1 00054 #endif 00055 00056 #define K_1_3 .33333333333333333333333333333333333333333333333333 // 1/3 00057 #define K_2_3 .66666666666666666666666666666666666666666666666667 // 2/3 00058 #define K_1_9 .11111111111111111111111111111111111111111111111111 // 1/9 00059 #define K_1_54 .01851851851851851851851851851851851851851851851852 // 1/54 00060 00061 #ifndef K_E 00062 #define K_E 2.7182818284590452353602874713526624977572470936000 // e (natural logarithm base) 00063 #endif 00064 00065 #define K_PI_180 .017453292519943295769236907684886127134428718885417 // pi/180 00066 #define K_PI_8 .39269908169872415480783042290993786052464617492188 // pi/8 00067 #define K_PI_4 .78539816339744830961566084581987572104929234984377 // pi/4 00068 #define K_PI_2 1.5707963267948966192313216916397514420985846996875 // pi/2 00069 #ifndef K_PI 00070 #define K_PI 3.1415926535897932384626433832795028841971693993751 // pi 00071 #endif 00072 #define K_2PI_3 2.0943951023931954923084289221863352561314462662501 // 2pi/3 00073 #define K_2PI 6.2831853071795864769252867665590057683943387987502 // 2pi 00074 #define K_3PI 9.4247779607693797153879301498385086525915081981252 // 3pi 00075 #define K_4PI 12.566370614359172953850573533118011536788677597500 // 4pi 00076 #define K_5PI 15.707963267948966192313216916397514420985846996875 // 5pi 00077 #define K_6PI 18.849555921538759430775860299677017305183016396250 // 6pi 00078 #define K_7PI 21.991148575128552669238503682956520189380185795626 // 7pi 00079 #define K_1_PI .31830988618379067153776752674502872406891929148091 // 1/pi 00080 #define K_1_4PI .079577471545947667884441881686257181017229822870228 // 1/4pi 00081 #define K_180_PI 57.295779513082320876798154814105170332405472466565 // 180/pi 00082 00083 #define K_GAMMA .57721566490153286060651209008240243104215933593992 // Euler-Mascheroni constant 00084 #define K_ZETA3 1.2020569031595942853997381615114499907649862923405 // Apery's constant 00085 #define K_G .91596559417721901505460351493238411077414937428167 // Catalan's constant 00086 #define K_KDB 2.6854520010653064453097148354817956938203822939945 // Khintchine's constant 00087 #define K_C 1.2267420107203532444176302304553616558714096904403 // Fibonacci's factorial constant 00088 #define K_GOLDEN_RATIO 1.6180339887498948482045868343656381177203091798058 // golden ratio 00089 #define K_GOLDEN_SECT .38196601125010515179541316563436188227969082019424 // 2 - golden ratio 00090 #define K_F1 4.6692016091029906718532038204662016172581855774758 // Feigenbaum's F1 00091 #define K_F2 2.5029078750958928222839028732182157863812713767271 // Feigenbaum's F2 00092 #define K_L .11000100000000000000000100000000000000000000000000 // Liouville's number 00093 #ifndef K_TEN 00094 #define K_TEN 10 // 10 00095 #endif 00096 00097 #define K_GOMPERTZ .5963473623231940 // Gompertz constant (-e*ei(-1)) 00098 #define K_EI_LN2 1.0451637801174927847465120900824024310421593359399 // ei(ln(2)) 00099 00100 #define K_EXPGAMMA 1.7810724179901979852365041031071795491696452143034 // exp(gamma) 00101 #define K_EXPE 15.154262241479264189760430272629911905528548536856 // exp(e) 00102 #define K_EXPPI 23.140692632779269005729086367948547380266106242600 // exp(pi) 00103 #define K_PIEXP 22.459157718361045473427152204543735027589315133997 // pi^^e 00104 00105 #define K_SQRT2_4 .35355339059327376220042218105242451964241796884424 // sqrt(2)/4 00106 #define K_SQRT3_3 .57735026918962576450914878050195745564760175127013 // sqrt(3)/3 00107 #define K_SQRT6_3 .81649658092772603273242802490196379732198249355222 // sqrt(6)/3 00108 #define K_SQRT6_4 .61237243569579452454932101867647284799148687016417 // sqrt(6)/4 00109 #define K_SQRT6_6 .40824829046386301636621401245098189866099124677611 // sqrt(6)/6 00110 #define K_SQRT2_2 .70710678118654752440084436210484903928483593768847 // sqrt(2)/2 00111 #define K_SQRT3_2 .86602540378443864676372317075293618347140262690519 // sqrt(3)/2 00112 #define K_SQRT2 1.4142135623730950488016887242096980785696718753769 // sqrt(2) 00113 #define K_SQRTE 1.6487212707001281468486507878141635716537761007101 // sqrt(e) 00114 #define K_SQRT3 1.7320508075688772935274463415058723669428052538104 // sqrt(3) 00115 #define K_SQRTPI 1.7724538509055160272981674833411451827975494561224 // sqrt(pi) = gamma(1/2) 00116 #define K_SQRT5 2.2360679774997896964091736687312762354406183596115 // sqrt(5) 00117 #define K_SQRT6 2.4494897427831780981972840747058913919659474806567 // sqrt(6) 00118 00119 #define K_1_SQRTPI .56418958354775628694807945156077258584405062932900 // 1/sqrt(pi) 00120 00121 #define K_CBRT2 1.2599210498948731647672106072782283505702514647015 // cbrt(2) 00122 #define K_CBRT3 1.4422495703074083823216383107801095883918692534994 // cbrt(3) 00123 #define K_CBRT5 1.7099759466766969893531088725438601098680551105431 // cbrt(5) 00124 00125 #define K_FTRT2 1.1486983549970350067986269467779275894438508890978 // 2^(1/5) 00126 #define K_FTRT3 1.2457309396155173259666803366403050809393099930688 // 3^(1/5) 00127 00128 #ifndef K_LN2 00129 #define K_LN2 .69314718055994530941723212145817656807550013436026 // ln(2) 00130 #endif 00131 #define K_LN3 1.0986122886681096913952452369225257046474905578227 // ln(3) 00132 #ifndef K_LN10 00133 #define K_LN10 2.3025850929940456840179914546843642076011014886288 // ln(10) 00134 #endif 00135 00136 #define K_1_LN2 1.4426950408889634073599246810018921374266459541530 // 1/ln(2) 00137 #define K_1_LN3 .91023922662683739361424016573610700061263605725521 // 1/ln(3) 00138 #define K_1_LN10 .43429448190325182765112891891660508229439700580367 // 1/ln(10) 00139 00140 #ifndef K_L2E 00141 #define K_L2E 1.4426950408889634073599246810018921374266459541530 // log2(e) 00142 #endif 00143 #define K_L23 1.5849625007211561814537389439478165087598144076925 // log2(3) 00144 #ifndef K_L2T 00145 #define K_L2T .30102999566398119521373889472449302676818988146210 // log2(10) 00146 #endif 00147 00148 #define K_1_L2E .69314718055994530941723212145817656807550013436025 // 1/log2(e) 00149 #define K_1_L23 .63092975357145743709952711434276085429958564013188 // 1/log2(3) 00150 #define K_1_L2T 1.4426950408889634073599246810018921374266459541530 // 1/log2(10) 00151 00152 #ifndef K_LOG2 00153 #define K_LOG2 .30102999566398119521373889472449302676818988146211 // log10(2) 00154 #endif 00155 #ifndef K_LOGE 00156 #define K_LOGE .43429448190325182765112891891660508229439700580367 // log10(e) 00157 #endif 00158 #define K_LOG3 .47712125471966243729502790325511530920012886419070 // log10(3) 00159 #define K_LOGPI .49714987269413385435126828829089887365167832438044 // log10(pi) 00160 00161 #define K_DDRT2 1.0594630943592952645618252949463417007792043174942 // 2^(1/12) 00162 #define K_1_DDRT2 .94387431268169349664191315666753437600756830333874 // 1/(2^(1/12)) 00163 00164 #define K_20LOG128 42.144199392957367329923445261429023747546583404695 // 20log10(128) 00165 #define K_20LOG32768 90.308998699194358564121668417347908030456964438633 // 20log10(32768) 00166 #define K_20LOG8388608 138.47379800543134979831989157326679231336734547257 // 20log10(8388608) 00167 00168 #define K_1E0 K_ONE 00169 #define K_1E1 K_TEN 00170 00171 #ifndef K_1E2 00172 #define K_1E2 E+2 // 10^2 00173 #endif 00174 #ifndef K_1E4 00175 #define K_1E4 E+4 // 10^4 00176 #endif 00177 #ifndef K_1E8 00178 #define K_1E8 E+8 // 10^8 00179 #endif 00180 #ifndef K_1E16 00181 #define K_1E16 E+16 // 10^16 00182 #endif 00183 #ifndef K_1E32 00184 #define K_1E32 E+32 // 10^32 00185 #endif 00186 #ifndef K_1E64 00187 #define K_1E64 E+64 // 10^64 00188 #endif 00189 #ifndef K_1E128 00190 #define K_1E128 E+128 // 10^128 00191 #endif 00192 #ifndef K_1E256 00193 #define K_1E256 E+256 // 10^256 00194 #endif 00195 #ifndef K_1E512 00196 #define K_1E512 E+512 // 10^512 00197 #endif 00198 #ifndef K_1E1024 00199 #define K_1E1024 E+1024 // 10^1024 00200 #endif 00201 #ifndef K_1E2048 00202 #define K_1E2048 E+2048 // 10^2048 00203 #endif 00204 #ifndef K_1E4096 00205 #define K_1E4096 E+4096 // 10^4096 00206 #endif 00207 00208 //***************************************************************************************************************** 00209 // unit scales 00210 //***************************************************************************************************************** 00211 00212 #define K_YOCTO E-24 // y 00213 #define K_ZEPTO E-21 // z 00214 #define K_ATTO E-18 // a 00215 #define K_FEMTO E-15 // f 00216 #define K_PICO E-12 // p 00217 #define K_NANO E-9 // n 00218 #define K_MICRO E-6 // u 00219 #define K_MILLI E-3 // m 00220 #define K_CENTI E-2 // c 00221 #define K_DECI E-1 // d 00222 #define K_DECA E+1 // da, dk (DEKA) 00223 #define K_HECTO E+2 // h 00224 #define K_KILO E+3 // k 00225 #define K_MEGA E+6 // M 00226 #define K_GIGA E+9 // G 00227 #define K_TERA E+12 // T 00228 #define K_PETA E+15 // P 00229 #define K_EXA E+18 // E 00230 #define K_ZETTA E+21 // Z 00231 #define K_YOTTA E+24 // Y 00232 00233 //***************************************************************************************************************** 00234 // angular units 00235 //***************************************************************************************************************** 00236 00237 #define K_DEG_TO_RAD K_PI_180 // pi/180 00238 #define K_DEG_TO_CIRC .0027777777777777777777777777777777777777777777777778 // 1/360 00239 #define K_RAD_TO_DEG K_180_PI // 180/pi 00240 #define K_RAD_TO_CIRC K_PI_2 // pi/2 00241 #define K_CIRC_TO_DEG 360 // 360 00242 00243 #define K_STERADIAN K_1_4PI // sphere/st 00244 00245 //***************************************************************************************************************** 00246 // distance units 00247 //***************************************************************************************************************** 00248 00249 #define K_IN_TO_CM 2.5400000000000000000000000000000000000000000000000 // cm/in 00250 #define K_CM_TO_IN .39370078740157480314960629921259842519685039370079 // in/cm 00251 00252 #define K_FT_TO_M .30480000000000000000000000000000000000000000000000 // m/ft 00253 #define K_M_TO_FT 3.2808398950131233595800524934383202099737532808399 // ft/m 00254 00255 #define K_MILE_TO_KM 1.6093440000000000000000000000000000000000000000000 // km/mile 00256 #define K_KM_TO_MILE .62137119223733396961743418436331822158593812137119 // mile/km 00257 00258 #define K_KNOT_TO_KM 1.8531840 // km/knot 00259 #define K_KM_TO_KNOT .53961182483768476308882442326288161348252521066446 // knot/km 00260 00261 #define K_FEET_TO_INCHES 12 00262 #define K_YARDS_TO_FEET 3 00263 #define K_CHAINS_TO_YARDS 22 00264 #define K_FURLONGS_TO_CHAINS 10 00265 #define K_MILES_TO_FURLONG 8 00266 00267 //***************************************************************************************************************** 00268 // surface units 00269 //***************************************************************************************************************** 00270 00271 #define K_FT2_TO_M2 .09290304000000000000000000000000000000000000000000 // m^2/ft^2 00272 #define K_M2_TO_FT2 10.763910416709722308333505555900000688890266669422 // ft^2/m^2 00273 #define K_ACRE_TO_M2 4046.86 // acre/m^2 00274 #define K_HECTARE_TO_M2 10000 // hectare/m^2 00275 00276 //***************************************************************************************************************** 00277 // volume units 00278 //***************************************************************************************************************** 00279 00280 #define K_UKGAL_TO_M3 4.546e-3 // gal/m^3 00281 #define K_USGAL_TO_M3 3.785e-3 // gal/m^3 00282 00283 //***************************************************************************************************************** 00284 // capacity units 00285 //***************************************************************************************************************** 00286 00287 #define K_US_PINTS_TO_OUNCES 16 00288 #define K_UK_PINTS_TO_OUNCES 20 00289 #define K_PINTS_TO_GILLS 4 00290 #define K_QUART_TO_PINTS 2 00291 #define K_GALLONS_TO_QUARTS 4 00292 #define K_PECKS_TO_QUARTS 8 00293 #define K_BUSHELS_TO_PECKS 4 00294 00295 //***************************************************************************************************************** 00296 // speed units 00297 //***************************************************************************************************************** 00298 00299 #define K_MPH_TO_KMH K_MILE_TO_KM // kmh / mph 00300 #define K_KMH_TO_MPH K_KM_TO_MILE // mph / kmh 00301 00302 //***************************************************************************************************************** 00303 // mass (Troy and Avoirdupois) units 00304 //***************************************************************************************************************** 00305 00306 #define K_OZ_TO_G .028349523125 // g/oz 00307 00308 #define K_LB_TO_KG .45359237 // kg/lb 00309 #define K_KG_TO_LB 2.20462262 // lb/kg 00310 00311 #define K_OUNCES_TO_GRAINS 437.5 00312 #define K_POUNDS_TO_OUNCES 16 00313 #define K_STONES_TO_POUNDS 14 00314 #define K_CWT_TO_STONES 8 // (cwt = hundredweight) 00315 #define K_UKTONS_TO_CWT 20 00316 00317 #define K_UKTONS_TO_POUNDS 2240 00318 #define K_USTON_TO_POUNDS 2000 00319 00320 #define K_PENNYWEIGHTS_TO_GRAINS 24 00321 #define K_OUNCES_TO_PENNYWEIGHTS 20 00322 00323 //***************************************************************************************************************** 00324 // temperature units 00325 //***************************************************************************************************************** 00326 00327 #define K_F_TO_C(f) (1.8 * f + 32) // 'F -> 'C 00328 #define K_C_TO_K(c) (c + 273.16) // 'C -> 'K 00329 #define K_C_TO_F(c) ((c - 32) * (.55555555555555555555555555555555555555555555555556)) // 'C -> 'F 00330 00331 //***************************************************************************************************************** 00332 // force units 00333 //***************************************************************************************************************** 00334 00335 #define K_HP_TO_W 745.71216 // w/hp 00336 #define K_W_TO_HP .0013410 // hp/w 00337 00338 //***************************************************************************************************************** 00339 // pressure units 00340 //***************************************************************************************************************** 00341 00342 #define K_ATM_TO_PA 101325 // Pa/atm 00343 00344 //***************************************************************************************************************** 00345 // ratio units 00346 //***************************************************************************************************************** 00347 00348 #define K_BELL(r) (20*kLog10(r)) // B(r) 00349 #define K_DECIBEL(r) (2*kLog10(r)) // dB(r) 00350 00351 //***************************************************************************************************************** 00352 // physical constants 00353 //***************************************************************************************************************** 00354 00355 #define K_LSPEED 299792458 // speed of light in vacuum (m/s) 00356 00357 #define K_AIR_SSPEED21 344 /*340.29205*/ // air speed of sound at 21'C (m/s) 00358 #define K_WATER_SSPEED 1480 // water speed of sound (m/s) 00359 #define K_AIR_SSPEED(t) ((20.0330)*kSqrt(t)) // speed of sound at t'K (331*sqrt(t/273)) 00360 00361 #define K_GRAV_CONST 9.80665 // terrestrial gravitational constant g 00362 00363 //***************************************************************************************************************** 00364 // material constants 00365 //***************************************************************************************************************** 00366 00367 #define K_REFRAC_AIR 1.000298 // air refraction index 00368 #define K_REFRAC_DIAMOND 2.42 // diamond refraction index 00369 #define K_REFRAC_GLASS 1.50 // glass refraction index 00370 #define K_REFRAC_ICE 1.31 // ice refraction index 00371 #define K_REFRAC_PARAFFIN 1.42 // paraffin refraction index 00372 #define K_REFRAC_RUBY 1.76 // ruby refraction index 00373 #define K_REFRAC_WATER 1.33 // water refraction index 00374 00375 //***************************************************************************************************************** 00376 // media constants 00377 //***************************************************************************************************************** 00378 00379 /* 00380 * Never Twice the Same Colour 00381 */ 00382 #define K_NTSC_RATE 30 00383 #define K_NTSC_LINES 525 00384 #define K_NTSC_GAMMA 2.2 00385 00386 #define K_MNTSC_RATE 29.97002617 00387 #define K_MNTSC_LINES 525 00388 #define K_MNTSC_GAMMA 2.2 00389 00390 /* 00391 * Pay for Added Luxury 00392 */ 00393 #define K_PAL_RATE 25 00394 #define K_PAL_LINES 625 00395 #define K_PAL_GAMMA 2.8 00396 00397 #define K_MPAL_RATE K_MNTSC_RATE 00398 #define K_MPAL_LINES K_MNTSC_LINES 00399 #define K_MPAL_GAMMA K_PAL_GAMMA 00400 00401 /* 00402 * System Essentially Contrary to American Method 00403 */ 00404 #define K_SECAM_RATE 25 00405 #define K_SECAM_LINES 625 00406 #define K_SECAM_GAMMA 2.8 00407 00408 #define K_MSECAM_RATE K_MNTSC_RATE 00409 #define K_MSECAM_LINES K_MNTSC_LINES 00410 #define K_MSECAM_GAMMA K_MPAL_GAMMA 00411 00412 #define K_FILM_RATE 24 00413 00414 #define K_HIVISION_RATE 60 00415 #define K_HIVISION_LINES 1125 00416 00417 //***************************************************************************************************************** 00418 // primes up to 65535 00419 //***************************************************************************************************************** 00420 00421 extern const kUInt16 kPrimes[6542]; 00422 00423 #endif // FBXFILESDK_COMPONENTS_KBASELIB_KMATH_CONST_H 00424