diff options
Diffstat (limited to 'sysdeps/ieee754/ldbl-128/e_lgammal_r.c')
| -rw-r--r-- | sysdeps/ieee754/ldbl-128/e_lgammal_r.c | 170 |
1 files changed, 85 insertions, 85 deletions
diff --git a/sysdeps/ieee754/ldbl-128/e_lgammal_r.c b/sysdeps/ieee754/ldbl-128/e_lgammal_r.c index 5b513ea1df..5a5e833a10 100644 --- a/sysdeps/ieee754/ldbl-128/e_lgammal_r.c +++ b/sysdeps/ieee754/ldbl-128/e_lgammal_r.c @@ -72,21 +72,21 @@ #include <math_private.h> #include <float.h> -static const long double PIL = 3.1415926535897932384626433832795028841972E0L; +static const _Float128 PIL = 3.1415926535897932384626433832795028841972E0L; #if LDBL_MANT_DIG == 106 -static const long double MAXLGM = 0x5.d53649e2d469dbc1f01e99fd66p+1012L; +static const _Float128 MAXLGM = 0x5.d53649e2d469dbc1f01e99fd66p+1012L; #else -static const long double MAXLGM = 1.0485738685148938358098967157129705071571E4928L; +static const _Float128 MAXLGM = 1.0485738685148938358098967157129705071571E4928L; #endif -static const long double one = 1.0L; -static const long double huge = LDBL_MAX; +static const _Float128 one = 1.0L; +static const _Float128 huge = LDBL_MAX; /* log gamma(x) = ( x - 0.5 ) * log(x) - x + LS2PI + 1/x P(1/x^2) 1/x <= 0.0741 (x >= 13.495...) Peak relative error 1.5e-36 */ -static const long double ls2pi = 9.1893853320467274178032973640561763986140E-1L; +static const _Float128 ls2pi = 9.1893853320467274178032973640561763986140E-1L; #define NRASY 12 -static const long double RASY[NRASY + 1] = +static const _Float128 RASY[NRASY + 1] = { 8.333333333333333333333333333310437112111E-2L, -2.777777777777777777777774789556228296902E-3L, @@ -108,10 +108,10 @@ static const long double RASY[NRASY + 1] = -0.5 <= x <= 0.5 12.5 <= x+13 <= 13.5 Peak relative error 1.1e-36 */ -static const long double lgam13a = 1.9987213134765625E1L; -static const long double lgam13b = 1.3608962611495173623870550785125024484248E-6L; +static const _Float128 lgam13a = 1.9987213134765625E1L; +static const _Float128 lgam13b = 1.3608962611495173623870550785125024484248E-6L; #define NRN13 7 -static const long double RN13[NRN13 + 1] = +static const _Float128 RN13[NRN13 + 1] = { 8.591478354823578150238226576156275285700E11L, 2.347931159756482741018258864137297157668E11L, @@ -123,7 +123,7 @@ static const long double RN13[NRN13 + 1] = 6.850783280018706668924952057996075215223E0L }; #define NRD13 6 -static const long double RD13[NRD13 + 1] = +static const _Float128 RD13[NRD13 + 1] = { 3.401225382297342302296607039352935541669E11L, 8.756765276918037910363513243563234551784E10L, @@ -140,10 +140,10 @@ static const long double RD13[NRD13 + 1] = -0.5 <= x <= 0.5 11.5 <= x+12 <= 12.5 Peak relative error 4.1e-36 */ -static const long double lgam12a = 1.75023040771484375E1L; -static const long double lgam12b = 3.7687254483392876529072161996717039575982E-6L; +static const _Float128 lgam12a = 1.75023040771484375E1L; +static const _Float128 lgam12b = 3.7687254483392876529072161996717039575982E-6L; #define NRN12 7 -static const long double RN12[NRN12 + 1] = +static const _Float128 RN12[NRN12 + 1] = { 4.709859662695606986110997348630997559137E11L, 1.398713878079497115037857470168777995230E11L, @@ -155,7 +155,7 @@ static const long double RN12[NRN12 + 1] = 6.769610657004672719224614163196946862747E0L }; #define NRD12 6 -static const long double RD12[NRD12 + 1] = +static const _Float128 RD12[NRD12 + 1] = { 1.928167007860968063912467318985802726613E11L, 5.383198282277806237247492369072266389233E10L, @@ -172,10 +172,10 @@ static const long double RD12[NRD12 + 1] = -0.5 <= x <= 0.5 10.5 <= x+11 <= 11.5 Peak relative error 1.8e-35 */ -static const long double lgam11a = 1.5104400634765625E1L; -static const long double lgam11b = 1.1938309890295225709329251070371882250744E-5L; +static const _Float128 lgam11a = 1.5104400634765625E1L; +static const _Float128 lgam11b = 1.1938309890295225709329251070371882250744E-5L; #define NRN11 7 -static const long double RN11[NRN11 + 1] = +static const _Float128 RN11[NRN11 + 1] = { 2.446960438029415837384622675816736622795E11L, 7.955444974446413315803799763901729640350E10L, @@ -187,7 +187,7 @@ static const long double RN11[NRN11 + 1] = 6.681356101133728289358838690666225691363E0L }; #define NRD11 6 -static const long double RD11[NRD11 + 1] = +static const _Float128 RD11[NRD11 + 1] = { 1.040483786179428590683912396379079477432E11L, 3.172251138489229497223696648369823779729E10L, @@ -204,10 +204,10 @@ static const long double RD11[NRD11 + 1] = -0.5 <= x <= 0.5 9.5 <= x+10 <= 10.5 Peak relative error 5.4e-37 */ -static const long double lgam10a = 1.280181884765625E1L; -static const long double lgam10b = 8.6324252196112077178745667061642811492557E-6L; +static const _Float128 lgam10a = 1.280181884765625E1L; +static const _Float128 lgam10b = 8.6324252196112077178745667061642811492557E-6L; #define NRN10 7 -static const long double RN10[NRN10 + 1] = +static const _Float128 RN10[NRN10 + 1] = { -1.239059737177249934158597996648808363783E14L, -4.725899566371458992365624673357356908719E13L, @@ -219,7 +219,7 @@ static const long double RN10[NRN10 + 1] = -2.350975266781548931856017239843273049384E4L }; #define NRD10 7 -static const long double RD10[NRD10 + 1] = +static const _Float128 RD10[NRD10 + 1] = { -5.502645997581822567468347817182347679552E13L, -1.970266640239849804162284805400136473801E13L, @@ -237,10 +237,10 @@ static const long double RD10[NRD10 + 1] = -0.5 <= x <= 0.5 8.5 <= x+9 <= 9.5 Peak relative error 3.6e-36 */ -static const long double lgam9a = 1.06045989990234375E1L; -static const long double lgam9b = 3.9037218127284172274007216547549861681400E-6L; +static const _Float128 lgam9a = 1.06045989990234375E1L; +static const _Float128 lgam9b = 3.9037218127284172274007216547549861681400E-6L; #define NRN9 7 -static const long double RN9[NRN9 + 1] = +static const _Float128 RN9[NRN9 + 1] = { -4.936332264202687973364500998984608306189E13L, -2.101372682623700967335206138517766274855E13L, @@ -252,7 +252,7 @@ static const long double RN9[NRN9 + 1] = -2.036280038903695980912289722995505277253E4L }; #define NRD9 7 -static const long double RD9[NRD9 + 1] = +static const _Float128 RD9[NRD9 + 1] = { -2.306006080437656357167128541231915480393E13L, -9.183606842453274924895648863832233799950E12L, @@ -270,10 +270,10 @@ static const long double RD9[NRD9 + 1] = -0.5 <= x <= 0.5 7.5 <= x+8 <= 8.5 Peak relative error 2.4e-37 */ -static const long double lgam8a = 8.525146484375E0L; -static const long double lgam8b = 1.4876690414300165531036347125050759667737E-5L; +static const _Float128 lgam8a = 8.525146484375E0L; +static const _Float128 lgam8b = 1.4876690414300165531036347125050759667737E-5L; #define NRN8 8 -static const long double RN8[NRN8 + 1] = +static const _Float128 RN8[NRN8 + 1] = { 6.600775438203423546565361176829139703289E11L, 3.406361267593790705240802723914281025800E11L, @@ -286,7 +286,7 @@ static const long double RN8[NRN8 + 1] = 6.596977510622195827183948478627058738034E0L }; #define NRD8 7 -static const long double RD8[NRD8 + 1] = +static const _Float128 RD8[NRD8 + 1] = { 3.274776546520735414638114828622673016920E11L, 1.581811207929065544043963828487733970107E11L, @@ -304,10 +304,10 @@ static const long double RD8[NRD8 + 1] = -0.5 <= x <= 0.5 6.5 <= x+7 <= 7.5 Peak relative error 3.2e-36 */ -static const long double lgam7a = 6.5792388916015625E0L; -static const long double lgam7b = 1.2320408538495060178292903945321122583007E-5L; +static const _Float128 lgam7a = 6.5792388916015625E0L; +static const _Float128 lgam7b = 1.2320408538495060178292903945321122583007E-5L; #define NRN7 8 -static const long double RN7[NRN7 + 1] = +static const _Float128 RN7[NRN7 + 1] = { 2.065019306969459407636744543358209942213E11L, 1.226919919023736909889724951708796532847E11L, @@ -320,7 +320,7 @@ static const long double RN7[NRN7 + 1] = 6.460280377802030953041566617300902020435E0L }; #define NRD7 7 -static const long double RD7[NRD7 + 1] = +static const _Float128 RD7[NRD7 + 1] = { 1.102646614598516998880874785339049304483E11L, 6.099297512712715445879759589407189290040E10L, @@ -338,10 +338,10 @@ static const long double RD7[NRD7 + 1] = -0.5 <= x <= 0.5 5.5 <= x+6 <= 6.5 Peak relative error 6.2e-37 */ -static const long double lgam6a = 4.7874908447265625E0L; -static const long double lgam6b = 8.9805548349424770093452324304839959231517E-7L; +static const _Float128 lgam6a = 4.7874908447265625E0L; +static const _Float128 lgam6b = 8.9805548349424770093452324304839959231517E-7L; #define NRN6 8 -static const long double RN6[NRN6 + 1] = +static const _Float128 RN6[NRN6 + 1] = { -3.538412754670746879119162116819571823643E13L, -2.613432593406849155765698121483394257148E13L, @@ -354,7 +354,7 @@ static const long double RN6[NRN6 + 1] = -1.576834867378554185210279285358586385266E4L }; #define NRD6 8 -static const long double RD6[NRD6 + 1] = +static const _Float128 RD6[NRD6 + 1] = { -2.073955870771283609792355579558899389085E13L, -1.421592856111673959642750863283919318175E13L, @@ -373,10 +373,10 @@ static const long double RD6[NRD6 + 1] = -0.5 <= x <= 0.5 4.5 <= x+5 <= 5.5 Peak relative error 3.4e-37 */ -static const long double lgam5a = 3.17803955078125E0L; -static const long double lgam5b = 1.4279566695619646941601297055408873990961E-5L; +static const _Float128 lgam5a = 3.17803955078125E0L; +static const _Float128 lgam5b = 1.4279566695619646941601297055408873990961E-5L; #define NRN5 9 -static const long double RN5[NRN5 + 1] = +static const _Float128 RN5[NRN5 + 1] = { 2.010952885441805899580403215533972172098E11L, 1.916132681242540921354921906708215338584E11L, @@ -390,7 +390,7 @@ static const long double RN5[NRN5 + 1] = 6.330318119566998299106803922739066556550E0L }; #define NRD5 8 -static const long double RD5[NRD5 + 1] = +static const _Float128 RD5[NRD5 + 1] = { 1.335189758138651840605141370223112376176E11L, 1.174130445739492885895466097516530211283E11L, @@ -409,10 +409,10 @@ static const long double RD5[NRD5 + 1] = -0.5 <= x <= 0.5 3.5 <= x+4 <= 4.5 Peak relative error 6.7e-37 */ -static const long double lgam4a = 1.791748046875E0L; -static const long double lgam4b = 1.1422353055000812477358380702272722990692E-5L; +static const _Float128 lgam4a = 1.791748046875E0L; +static const _Float128 lgam4b = 1.1422353055000812477358380702272722990692E-5L; #define NRN4 9 -static const long double RN4[NRN4 + 1] = +static const _Float128 RN4[NRN4 + 1] = { -1.026583408246155508572442242188887829208E13L, -1.306476685384622809290193031208776258809E13L, @@ -426,7 +426,7 @@ static const long double RN4[NRN4 + 1] = -1.180509051468390914200720003907727988201E4L }; #define NRD4 9 -static const long double RD4[NRD4 + 1] = +static const _Float128 RD4[NRD4 + 1] = { -8.172669122056002077809119378047536240889E12L, -9.477592426087986751343695251801814226960E12L, @@ -446,11 +446,11 @@ static const long double RD4[NRD4 + 1] = -0.25 <= x <= 0.5 2.75 <= x+3 <= 3.5 Peak relative error 6.0e-37 */ -static const long double lgam3a = 6.93145751953125E-1L; -static const long double lgam3b = 1.4286068203094172321214581765680755001344E-6L; +static const _Float128 lgam3a = 6.93145751953125E-1L; +static const _Float128 lgam3b = 1.4286068203094172321214581765680755001344E-6L; #define NRN3 9 -static const long double RN3[NRN3 + 1] = +static const _Float128 RN3[NRN3 + 1] = { -4.813901815114776281494823863935820876670E11L, -8.425592975288250400493910291066881992620E11L, @@ -464,7 +464,7 @@ static const long double RN3[NRN3 + 1] = -8.333374463411801009783402800801201603736E3L }; #define NRD3 9 -static const long double RD3[NRD3 + 1] = +static const _Float128 RD3[NRD3 + 1] = { -5.216713843111675050627304523368029262450E11L, -8.014292925418308759369583419234079164391E11L, @@ -483,10 +483,10 @@ static const long double RD3[NRD3 + 1] = /* log gamma(x+2.5) = log gamma(2.5) + x P(x)/Q(x) -0.125 <= x <= 0.25 2.375 <= x+2.5 <= 2.75 */ -static const long double lgam2r5a = 2.8466796875E-1L; -static const long double lgam2r5b = 1.4901722919159632494669682701924320137696E-5L; +static const _Float128 lgam2r5a = 2.8466796875E-1L; +static const _Float128 lgam2r5b = 1.4901722919159632494669682701924320137696E-5L; #define NRN2r5 8 -static const long double RN2r5[NRN2r5 + 1] = +static const _Float128 RN2r5[NRN2r5 + 1] = { -4.676454313888335499356699817678862233205E9L, -9.361888347911187924389905984624216340639E9L, @@ -499,7 +499,7 @@ static const long double RN2r5[NRN2r5 + 1] = -4.717341584067827676530426007495274711306E3L }; #define NRD2r5 8 -static const long double RD2r5[NRD2r5 + 1] = +static const _Float128 RD2r5[NRD2r5 + 1] = { -6.650657966618993679456019224416926875619E9L, -1.099511409330635807899718829033488771623E10L, @@ -519,7 +519,7 @@ static const long double RD2r5[NRD2r5 + 1] = 1.875 <= x+2 <= 2.375 Peak relative error 4.6e-36 */ #define NRN2 9 -static const long double RN2[NRN2 + 1] = +static const _Float128 RN2[NRN2 + 1] = { -3.716661929737318153526921358113793421524E9L, -1.138816715030710406922819131397532331321E10L, @@ -533,7 +533,7 @@ static const long double RN2[NRN2 + 1] = -4.778761333044147141559311805999540765612E3L }; #define NRD2 9 -static const long double RD2[NRD2 + 1] = +static const _Float128 RD2[NRD2 + 1] = { -8.790916836764308497770359421351673950111E9L, -2.023108608053212516399197678553737477486E10L, @@ -553,10 +553,10 @@ static const long double RD2[NRD2 + 1] = -0.125 <= x <= +0.125 1.625 <= x+1.75 <= 1.875 Peak relative error 9.2e-37 */ -static const long double lgam1r75a = -8.441162109375E-2L; -static const long double lgam1r75b = 1.0500073264444042213965868602268256157604E-5L; +static const _Float128 lgam1r75a = -8.441162109375E-2L; +static const _Float128 lgam1r75b = 1.0500073264444042213965868602268256157604E-5L; #define NRN1r75 8 -static const long double RN1r75[NRN1r75 + 1] = +static const _Float128 RN1r75[NRN1r75 + 1] = { -5.221061693929833937710891646275798251513E7L, -2.052466337474314812817883030472496436993E8L, @@ -569,7 +569,7 @@ static const long double RN1r75[NRN1r75 + 1] = -2.698453601378319296159355612094598695530E3L }; #define NRD1r75 8 -static const long double RD1r75[NRD1r75 + 1] = +static const _Float128 RD1r75[NRD1r75 + 1] = { -2.109754689501705828789976311354395393605E8L, -5.036651829232895725959911504899241062286E8L, @@ -588,12 +588,12 @@ static const long double RD1r75[NRD1r75 + 1] = -0.0867 <= x <= +0.1634 1.374932... <= x+x0 <= 1.625032... Peak relative error 4.0e-36 */ -static const long double x0a = 1.4616241455078125L; -static const long double x0b = 7.9994605498412626595423257213002588621246E-6L; -static const long double y0a = -1.21490478515625E-1L; -static const long double y0b = 4.1879797753919044854428223084178486438269E-6L; +static const _Float128 x0a = 1.4616241455078125L; +static const _Float128 x0b = 7.9994605498412626595423257213002588621246E-6L; +static const _Float128 y0a = -1.21490478515625E-1L; +static const _Float128 y0b = 4.1879797753919044854428223084178486438269E-6L; #define NRN1r5 8 -static const long double RN1r5[NRN1r5 + 1] = +static const _Float128 RN1r5[NRN1r5 + 1] = { 6.827103657233705798067415468881313128066E5L, 1.910041815932269464714909706705242148108E6L, @@ -606,7 +606,7 @@ static const long double RN1r5[NRN1r5 + 1] = 5.040631576303952022968949605613514584950E0L }; #define NRD1r5 8 -static const long double RD1r5[NRD1r5 + 1] = +static const _Float128 RD1r5[NRD1r5 + 1] = { 1.411036368843183477558773688484699813355E6L, 4.378121767236251950226362443134306184849E6L, @@ -625,10 +625,10 @@ static const long double RD1r5[NRD1r5 + 1] = -.125 <= x <= +.125 1.125 <= x+1.25 <= 1.375 Peak relative error = 4.9e-36 */ -static const long double lgam1r25a = -9.82818603515625E-2L; -static const long double lgam1r25b = 1.0023929749338536146197303364159774377296E-5L; +static const _Float128 lgam1r25a = -9.82818603515625E-2L; +static const _Float128 lgam1r25b = 1.0023929749338536146197303364159774377296E-5L; #define NRN1r25 9 -static const long double RN1r25[NRN1r25 + 1] = +static const _Float128 RN1r25[NRN1r25 + 1] = { -9.054787275312026472896002240379580536760E4L, -8.685076892989927640126560802094680794471E4L, @@ -642,7 +642,7 @@ static const long double RN1r25[NRN1r25 + 1] = 4.907821957946273805080625052510832015792E0L }; #define NRD1r25 8 -static const long double RD1r25[NRD1r25 + 1] = +static const _Float128 RD1r25[NRD1r25 + 1] = { 3.980939377333448005389084785896660309000E5L, 1.429634893085231519692365775184490465542E6L, @@ -662,7 +662,7 @@ static const long double RD1r25[NRD1r25 + 1] = 1.0 <= x+1 <= 1.125 Peak relative error 1.1e-35 */ #define NRN1 8 -static const long double RN1[NRN1 + 1] = +static const _Float128 RN1[NRN1 + 1] = { -9.987560186094800756471055681088744738818E3L, -2.506039379419574361949680225279376329742E4L, @@ -675,7 +675,7 @@ static const long double RN1[NRN1 + 1] = 4.516830313569454663374271993200291219855E0L }; #define NRD1 7 -static const long double RD1[NRD1 + 1] = +static const _Float128 RD1[NRD1 + 1] = { 1.730299573175751778863269333703788214547E4L, 6.807080914851328611903744668028014678148E4L, @@ -694,7 +694,7 @@ static const long double RD1[NRD1 + 1] = 0.875 <= x+1 <= 1.0 Peak relative error 7.0e-37 */ #define NRNr9 8 -static const long double RNr9[NRNr9 + 1] = +static const _Float128 RNr9[NRNr9 + 1] = { 4.441379198241760069548832023257571176884E5L, 1.273072988367176540909122090089580368732E6L, @@ -707,7 +707,7 @@ static const long double RNr9[NRNr9 + 1] = -1.032901669542994124131223797515913955938E3L, }; #define NRDr9 8 -static const long double RDr9[NRDr9 + 1] = +static const _Float128 RDr9[NRDr9 + 1] = { -7.694488331323118759486182246005193998007E5L, -3.301918855321234414232308938454112213751E6L, @@ -724,10 +724,10 @@ static const long double RDr9[NRDr9 + 1] = /* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ -static long double -neval (long double x, const long double *p, int n) +static _Float128 +neval (_Float128 x, const _Float128 *p, int n) { - long double y; + _Float128 y; p += n; y = *p--; @@ -742,10 +742,10 @@ neval (long double x, const long double *p, int n) /* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ -static long double -deval (long double x, const long double *p, int n) +static _Float128 +deval (_Float128 x, const _Float128 *p, int n) { - long double y; + _Float128 y; p += n; y = x + *p--; @@ -758,10 +758,10 @@ deval (long double x, const long double *p, int n) } -long double -__ieee754_lgammal_r (long double x, int *signgamp) +_Float128 +__ieee754_lgammal_r (_Float128 x, int *signgamp) { - long double p, q, w, z, nx; + _Float128 p, q, w, z, nx; int i, nn; *signgamp = 1; @@ -783,7 +783,7 @@ __ieee754_lgammal_r (long double x, int *signgamp) p = __floorl (q); if (p == q) return (one / (p - p)); - long double halfp = p * 0.5L; + _Float128 halfp = p * 0.5L; if (halfp == __floorl (halfp)) *signgamp = -1; else |