ref: 71e82bd67cba20a233a7c5313dc803965899db97
dir: /LEAF/Externals/trigtbl.h/
/* ** Please only distribute this with it's associated FHT routine. ** This algorithm is apparently patented(!) and the code copyrighted. ** See the comment with the fht routine for more info. ** -Thanks, ** Ron Mayer */ #ifdef __cplusplus extern "C" { #endif #ifdef REAL #else #define REAL double #endif #ifdef GOOD_TRIG #else #define FAST_TRIG #endif #if defined(GOOD_TRIG) #define FHT_SWAP(a,b,t) {(t)=(a);(a)=(b);(b)=(t);} #define TRIG_VARS \ int t_lam=0; #define TRIG_INIT(k,c,s) \ { \ int i; \ for (i=2 ; i<=k ; i++) \ {coswrk[i]=costab[i];sinwrk[i]=sintab[i];} \ t_lam = 0; \ c = 1; \ s = 0; \ } #define TRIG_NEXT(k,c,s) \ { \ int i,j; \ (t_lam)++; \ for (i=0 ; !((1<<i)&t_lam) ; i++); \ i = k-i; \ s = sinwrk[i]; \ c = coswrk[i]; \ if (i>1) \ { \ for (j=k-i+2 ; (1<<j)&t_lam ; j++); \ j = k - j; \ sinwrk[i] = halsec[i] * (sinwrk[i-1] + sinwrk[j]); \ coswrk[i] = halsec[i] * (coswrk[i-1] + coswrk[j]); \ } \ } #define TRIG_RESET(k,c,s) #endif #if defined(FAST_TRIG) #define TRIG_VARS \ REAL t_c,t_s; #define TRIG_INIT(k,c,s) \ { \ t_c = costab[k]; \ t_s = sintab[k]; \ c = 1; \ s = 0; \ } #define TRIG_NEXT(k,c,s) \ { \ REAL t = c; \ c = t*t_c - s*t_s; \ s = t*t_s + s*t_c; \ } #define TRIG_RESET(k,c,s) #endif static REAL halsec[20]= { 0, 0, .54119610014619698439972320536638942006107206337801, .50979557910415916894193980398784391368261849190893, .50241928618815570551167011928012092247859337193963, .50060299823519630134550410676638239611758632599591, .50015063602065098821477101271097658495974913010340, .50003765191554772296778139077905492847503165398345, .50000941253588775676512870469186533538523133757983, .50000235310628608051401267171204408939326297376426, .50000058827484117879868526730916804925780637276181, .50000014706860214875463798283871198206179118093251, .50000003676714377807315864400643020315103490883972, .50000000919178552207366560348853455333939112569380, .50000000229794635411562887767906868558991922348920, .50000000057448658687873302235147272458812263401372 }; static REAL costab[20]= { .00000000000000000000000000000000000000000000000000, .70710678118654752440084436210484903928483593768847, .92387953251128675612818318939678828682241662586364, .98078528040323044912618223613423903697393373089333, .99518472667219688624483695310947992157547486872985, .99879545620517239271477160475910069444320361470461, .99969881869620422011576564966617219685006108125772, .99992470183914454092164649119638322435060646880221, .99998117528260114265699043772856771617391725094433, .99999529380957617151158012570011989955298763362218, .99999882345170190992902571017152601904826792288976, .99999970586288221916022821773876567711626389934930, .99999992646571785114473148070738785694820115568892, .99999998161642929380834691540290971450507605124278, .99999999540410731289097193313960614895889430318945, .99999999885102682756267330779455410840053741619428 }; static REAL sintab[20]= { 1.0000000000000000000000000000000000000000000000000, .70710678118654752440084436210484903928483593768846, .38268343236508977172845998403039886676134456248561, .19509032201612826784828486847702224092769161775195, .09801714032956060199419556388864184586113667316749, .04906767432741801425495497694268265831474536302574, .02454122852291228803173452945928292506546611923944, .01227153828571992607940826195100321214037231959176, .00613588464915447535964023459037258091705788631738, .00306795676296597627014536549091984251894461021344, .00153398018628476561230369715026407907995486457522, .00076699031874270452693856835794857664314091945205, .00038349518757139558907246168118138126339502603495, .00019174759731070330743990956198900093346887403385, .00009587379909597734587051721097647635118706561284, .00004793689960306688454900399049465887274686668768 }; static REAL coswrk[20]= { .00000000000000000000000000000000000000000000000000, .70710678118654752440084436210484903928483593768847, .92387953251128675612818318939678828682241662586364, .98078528040323044912618223613423903697393373089333, .99518472667219688624483695310947992157547486872985, .99879545620517239271477160475910069444320361470461, .99969881869620422011576564966617219685006108125772, .99992470183914454092164649119638322435060646880221, .99998117528260114265699043772856771617391725094433, .99999529380957617151158012570011989955298763362218, .99999882345170190992902571017152601904826792288976, .99999970586288221916022821773876567711626389934930, .99999992646571785114473148070738785694820115568892, .99999998161642929380834691540290971450507605124278, .99999999540410731289097193313960614895889430318945, .99999999885102682756267330779455410840053741619428 }; static REAL sinwrk[20]= { 1.0000000000000000000000000000000000000000000000000, .70710678118654752440084436210484903928483593768846, .38268343236508977172845998403039886676134456248561, .19509032201612826784828486847702224092769161775195, .09801714032956060199419556388864184586113667316749, .04906767432741801425495497694268265831474536302574, .02454122852291228803173452945928292506546611923944, .01227153828571992607940826195100321214037231959176, .00613588464915447535964023459037258091705788631738, .00306795676296597627014536549091984251894461021344, .00153398018628476561230369715026407907995486457522, .00076699031874270452693856835794857664314091945205, .00038349518757139558907246168118138126339502603495, .00019174759731070330743990956198900093346887403385, .00009587379909597734587051721097647635118706561284, .00004793689960306688454900399049465887274686668768 }; #ifdef __cplusplus } #endif