1 /*---------------------------------------------------------------------------*
2 Project: Horizon
3 File: math_Triangular.cpp
4
5 Copyright (C)2009-2012 Nintendo Co., Ltd. All rights reserved.
6
7 These coded instructions, statements, and computer programs contain
8 proprietary information of Nintendo of America Inc. and/or Nintendo
9 Company Ltd., and are protected by Federal copyright law. They may
10 not be disclosed to third parties or copied or duplicated in any form,
11 in whole or in part, without the prior written consent of Nintendo.
12
13 $Rev: 46347 $
14 *---------------------------------------------------------------------------*/
15
16 #include <nn/math.h>
17
18 #include <nn/math/math_Triangular.h>
19 #include <nn/math/math_Arithmetic.h>
20
21 namespace nn { namespace math {
22
23 namespace internal
24 {
25 //---- sin and cos table
26 const SinCosSample gSinCosTbl[256 + 1] =
27 {
28 0.0f, 1.0f, 0.0245412285229123f, -0.00030118130379575f, // rad = 0.0, deg = 0.0
29 0.0245412285229123f, 0.999698818696204f, 0.0245264458045057f, -0.000903362491031845f, // rad = 0.0245436926061703, deg = 1.40625
30 0.049067674327418f, 0.998795456205172f, 0.0244968892722494f, -0.0015049995264822f, // rad = 0.0490873852123405, deg = 2.8125
31 0.0735645635996674f, 0.99729045667869f, 0.0244525767298932f, -0.00210573000649328f, // rad = 0.0736310778185108, deg = 4.21875
32 0.0980171403295606f, 0.995184726672197f, 0.0243935348696556f, -0.00270519207348696f, // rad = 0.098174770424681, deg = 5.625
33 0.122410675199216f, 0.99247953459871f, 0.0243197992561456f, -0.00330302463392895f, // rad = 0.122718463030851, deg = 7.03125
34 0.146730474455362f, 0.989176509964781f, 0.0242314143049395f, -0.00389886757583979f, // rad = 0.147262155637022, deg = 8.4375
35 0.170961888760301f, 0.985277642388941f, 0.024128433255827f, -0.00449236198571079f, // rad = 0.171805848243192, deg = 9.84375
36 0.195090322016128f, 0.98078528040323f, 0.0240109181407416f, -0.00508315036470186f, // rad = 0.196349540849362, deg = 11.25
37 0.21910124015687f, 0.975702130038529f, 0.0238789397463941f, -0.0056708768439846f, // rad = 0.220893233455532, deg = 12.65625
38 0.242980179903264f, 0.970031253194544f, 0.0237325775716345f, -0.00625518739910413f, // rad = 0.245436926061703, deg = 14.0625
39 0.266712757474898f, 0.96377606579544f, 0.023571919779564f, -0.00683573006323102f, // rad = 0.269980618667873, deg = 15.46875
40 0.290284677254462f, 0.956940335732209f, 0.0233970631444292f, -0.00741215513917215f, // rad = 0.294524311274043, deg = 16.875
41 0.313681740398892f, 0.949528180593037f, 0.0232081129933285f, -0.00798411541001587f, // rad = 0.319068003880213, deg = 18.28125
42 0.33688985339222f, 0.941544065183021f, 0.0230051831427681f, -0.00855126634828185f, // rad = 0.343611696486384, deg = 19.6875
43 0.359895036534988f, 0.932992798834739f, 0.0227883958301017f, -0.00911326632345222f, // rad = 0.368155389092554, deg = 21.09375
44 0.38268343236509f, 0.923879532511287f, 0.0225578816399001f, -0.00966977680775605f, // rad = 0.392699081698724, deg = 22.5
45 0.40524131400499f, 0.914209755703531f, 0.0223137794252922f, -0.0102204625800874f, // rad = 0.417242774304894, deg = 23.90625
46 0.427555093430282f, 0.903989293123443f, 0.0220562362243245f, -0.010764991927928f, // rad = 0.441786466911065, deg = 25.3125
47 0.449611329654607f, 0.893224301195515f, 0.0217854071713911f, -0.0113030368471603f, // rad = 0.466330159517235, deg = 26.71875
48 0.471396736825998f, 0.881921264348355f, 0.0215014554037864f, -0.0118342732396436f, // rad = 0.490873852123405, deg = 28.125
49 0.492898192229784f, 0.870086991108711f, 0.0212045519634376f, -0.0123583811084393f, // rad = 0.515417544729575, deg = 29.53125
50 0.514102744193222f, 0.857728610000272f, 0.0208948756938755f, -0.012875044750565f, // rad = 0.539961237335746, deg = 30.9375
51 0.534997619887097f, 0.844853565249707f, 0.020572613132505f, -0.0133839529471619f, // rad = 0.564504929941916, deg = 32.34375
52 0.555570233019602f, 0.831469612302545f, 0.0202379583982432f, -0.0138847991509615f, // rad = 0.589048622548086, deg = 33.75
53 0.575808191417845f, 0.817584813151584f, 0.019891113074588f, -0.0143772816709388f, // rad = 0.613592315154257, deg = 35.15625
54 0.595699304492433f, 0.803207531480645f, 0.0195322860881935f, -0.0148611038540386f, // rad = 0.638136007760427, deg = 36.5625
55 0.615231590580627f, 0.788346427626606f, 0.0191616935830187f, -0.0153359742638693f, // rad = 0.662679700366597, deg = 37.96875
56 0.634393284163645f, 0.773010453362737f, 0.0187795587901313f, -0.0158016068562524f, // rad = 0.687223392972767, deg = 39.375
57 0.653172842953777f, 0.757208846506485f, 0.0183861118932416f, -0.0162577211515255f, // rad = 0.711767085578938, deg = 40.78125
58 0.671558954847018f, 0.740951125354959f, 0.0179815898900485f, -0.0167040424034921f, // rad = 0.736310778185108, deg = 42.1875
59 0.689540544737067f, 0.724247082951467f, 0.0175662364494806f, -0.0171403017649194f, // rad = 0.760854470791278, deg = 43.59375
60 0.707106781186547f, 0.707106781186548f, 0.0171403017649194f, -0.0175662364494806f, // rad = 0.785398163397448, deg = 45.0
61 0.724247082951467f, 0.689540544737067f, 0.0167040424034922f, -0.0179815898900486f, // rad = 0.809941856003619, deg = 46.40625
62 0.740951125354959f, 0.671558954847018f, 0.0162577211515254f, -0.0183861118932416f, // rad = 0.834485548609789, deg = 47.8125
63 0.757208846506484f, 0.653172842953777f, 0.0158016068562525f, -0.0187795587901313f, // rad = 0.859029241215959, deg = 49.21875
64 0.773010453362737f, 0.634393284163645f, 0.0153359742638692f, -0.0191616935830187f, // rad = 0.883572933822129, deg = 50.625
65 0.788346427626606f, 0.615231590580627f, 0.0148611038540386f, -0.0195322860881934f, // rad = 0.9081166264283, deg = 52.03125
66 0.803207531480645f, 0.595699304492433f, 0.0143772816709389f, -0.0198911130745881f, // rad = 0.93266031903447, deg = 53.4375
67 0.817584813151584f, 0.575808191417845f, 0.0138847991509615f, -0.0202379583982431f, // rad = 0.95720401164064, deg = 54.84375
68 0.831469612302545f, 0.555570233019602f, 0.0133839529471618f, -0.020572613132505f, // rad = 0.98174770424681, deg = 56.25
69 0.844853565249707f, 0.534997619887097f, 0.0128750447505651f, -0.0208948756938756f, // rad = 1.00629139685298, deg = 57.65625
70 0.857728610000272f, 0.514102744193222f, 0.0123583811084392f, -0.0212045519634376f, // rad = 1.03083508945915, deg = 59.0625
71 0.870086991108711f, 0.492898192229784f, 0.0118342732396436f, -0.0215014554037863f, // rad = 1.05537878206532, deg = 60.46875
72 0.881921264348355f, 0.471396736825998f, 0.0113030368471604f, -0.0217854071713912f, // rad = 1.07992247467149, deg = 61.875
73 0.893224301195515f, 0.449611329654607f, 0.010764991927928f, -0.0220562362243244f, // rad = 1.10446616727766, deg = 63.28125
74 0.903989293123443f, 0.427555093430282f, 0.0102204625800874f, -0.0223137794252923f, // rad = 1.12900985988383, deg = 64.6875
75 0.914209755703531f, 0.40524131400499f, 0.00966977680775605f, -0.0225578816399f, // rad = 1.15355355249, deg = 66.09375
76 0.923879532511287f, 0.38268343236509f, 0.00911326632345211f, -0.0227883958301016f, // rad = 1.17809724509617, deg = 67.5
77 0.932992798834739f, 0.359895036534988f, 0.00855126634828196f, -0.0230051831427682f, // rad = 1.20264093770234, deg = 68.90625
78 0.941544065183021f, 0.33688985339222f, 0.00798411541001587f, -0.0232081129933285f, // rad = 1.22718463030851, deg = 70.3125
79 0.949528180593037f, 0.313681740398892f, 0.00741215513917226f, -0.0233970631444292f, // rad = 1.25172832291468, deg = 71.71875
80 0.956940335732209f, 0.290284677254462f, 0.0068357300632309f, -0.0235719197795639f, // rad = 1.27627201552085, deg = 73.125
81 0.96377606579544f, 0.266712757474898f, 0.00625518739910413f, -0.0237325775716344f, // rad = 1.30081570812702, deg = 74.53125
82 0.970031253194544f, 0.242980179903264f, 0.0056708768439846f, -0.0238789397463942f, // rad = 1.32535940073319, deg = 75.9375
83 0.975702130038529f, 0.21910124015687f, 0.00508315036470186f, -0.0240109181407414f, // rad = 1.34990309333936, deg = 77.34375
84 0.98078528040323f, 0.195090322016128f, 0.00449236198571079f, -0.024128433255827f, // rad = 1.37444678594553, deg = 78.75
85 0.985277642388941f, 0.170961888760301f, 0.00389886757583979f, -0.0242314143049396f, // rad = 1.3989904785517, deg = 80.15625
86 0.989176509964781f, 0.146730474455362f, 0.00330302463392895f, -0.0243197992561455f, // rad = 1.42353417115788, deg = 81.5625
87 0.99247953459871f, 0.122410675199216f, 0.00270519207348685f, -0.0243935348696555f, // rad = 1.44807786376405, deg = 82.96875
88 0.995184726672197f, 0.0980171403295608f, 0.00210573000649339f, -0.0244525767298933f, // rad = 1.47262155637022, deg = 84.375
89 0.99729045667869f, 0.0735645635996675f, 0.0015049995264822f, -0.0244968892722493f, // rad = 1.49716524897639, deg = 85.78125
90 0.998795456205172f, 0.0490676743274181f, 0.000903362491031845f, -0.0245264458045059f, // rad = 1.52170894158256, deg = 87.1875
91 0.999698818696204f, 0.0245412285229123f, 0.00030118130379575f, -0.0245412285229122f, // rad = 1.54625263418873, deg = 88.59375
92 1.0f, 0.0f, -0.00030118130379575f, -0.0245412285229122f, // rad = 1.5707963267949, deg = 90.0
93 0.999698818696204f, -0.0245412285229121f, -0.000903362491031845f, -0.0245264458045059f, // rad = 1.59534001940107, deg = 91.40625
94 0.998795456205172f, -0.049067674327418f, -0.0015049995264822f, -0.0244968892722493f, // rad = 1.61988371200724, deg = 92.8125
95 0.99729045667869f, -0.0735645635996673f, -0.00210573000649328f, -0.0244525767298933f, // rad = 1.64442740461341, deg = 94.21875
96 0.995184726672197f, -0.0980171403295606f, -0.00270519207348696f, -0.0243935348696555f, // rad = 1.66897109721958, deg = 95.625
97 0.99247953459871f, -0.122410675199216f, -0.00330302463392895f, -0.0243197992561455f, // rad = 1.69351478982575, deg = 97.03125
98 0.989176509964781f, -0.146730474455362f, -0.00389886757583979f, -0.0242314143049396f, // rad = 1.71805848243192, deg = 98.4375
99 0.985277642388941f, -0.170961888760301f, -0.00449236198571079f, -0.0241284332558269f, // rad = 1.74260217503809, deg = 99.84375
100 0.98078528040323f, -0.195090322016128f, -0.00508315036470186f, -0.0240109181407415f, // rad = 1.76714586764426, deg = 101.25
101 0.975702130038529f, -0.21910124015687f, -0.0056708768439846f, -0.0238789397463942f, // rad = 1.79168956025043, deg = 102.65625
102 0.970031253194544f, -0.242980179903264f, -0.00625518739910413f, -0.0237325775716344f, // rad = 1.8162332528566, deg = 104.0625
103 0.96377606579544f, -0.266712757474898f, -0.0068357300632309f, -0.0235719197795639f, // rad = 1.84077694546277, deg = 105.46875
104 0.956940335732209f, -0.290284677254462f, -0.00741215513917226f, -0.0233970631444292f, // rad = 1.86532063806894, deg = 106.875
105 0.949528180593037f, -0.313681740398891f, -0.00798411541001587f, -0.0232081129933285f, // rad = 1.88986433067511, deg = 108.28125
106 0.941544065183021f, -0.33688985339222f, -0.00855126634828196f, -0.0230051831427682f, // rad = 1.91440802328128, deg = 109.6875
107 0.932992798834739f, -0.359895036534988f, -0.00911326632345211f, -0.0227883958301016f, // rad = 1.93895171588745, deg = 111.09375
108 0.923879532511287f, -0.38268343236509f, -0.00966977680775605f, -0.0225578816399f, // rad = 1.96349540849362, deg = 112.5
109 0.914209755703531f, -0.40524131400499f, -0.0102204625800872f, -0.0223137794252921f, // rad = 1.98803910109979, deg = 113.90625
110 0.903989293123443f, -0.427555093430282f, -0.0107649919279282f, -0.0220562362243248f, // rad = 2.01258279370596, deg = 115.3125
111 0.893224301195515f, -0.449611329654607f, -0.0113030368471602f, -0.021785407171391f, // rad = 2.03712648631213, deg = 116.71875
112 0.881921264348355f, -0.471396736825998f, -0.0118342732396436f, -0.0215014554037863f, // rad = 2.0616701789183, deg = 118.125
113 0.870086991108711f, -0.492898192229784f, -0.0123583811084393f, -0.0212045519634377f, // rad = 2.08621387152447, deg = 119.53125
114 0.857728610000272f, -0.514102744193222f, -0.0128750447505649f, -0.0208948756938754f, // rad = 2.11075756413064, deg = 120.9375
115 0.844853565249707f, -0.534997619887097f, -0.0133839529471618f, -0.0205726131325049f, // rad = 2.13530125673681, deg = 122.34375
116 0.831469612302545f, -0.555570233019602f, -0.0138847991509617f, -0.0202379583982434f, // rad = 2.15984494934298, deg = 123.75
117 0.817584813151584f, -0.575808191417845f, -0.0143772816709388f, -0.019891113074588f, // rad = 2.18438864194915, deg = 125.15625
118 0.803207531480645f, -0.595699304492433f, -0.0148611038540386f, -0.0195322860881934f, // rad = 2.20893233455532, deg = 126.5625
119 0.788346427626606f, -0.615231590580627f, -0.0153359742638692f, -0.0191616935830187f, // rad = 2.23347602716149, deg = 127.96875
120 0.773010453362737f, -0.634393284163645f, -0.0158016068562524f, -0.0187795587901312f, // rad = 2.25801971976766, deg = 129.375
121 0.757208846506485f, -0.653172842953777f, -0.0162577211515257f, -0.0183861118932419f, // rad = 2.28256341237383, deg = 130.78125
122 0.740951125354959f, -0.671558954847018f, -0.0167040424034921f, -0.0179815898900485f, // rad = 2.30710710498, deg = 132.1875
123 0.724247082951467f, -0.689540544737067f, -0.0171403017649193f, -0.0175662364494805f, // rad = 2.33165079758617, deg = 133.59375
124 0.707106781186548f, -0.707106781186547f, -0.0175662364494805f, -0.0171403017649193f, // rad = 2.35619449019234, deg = 135.0
125 0.689540544737067f, -0.724247082951467f, -0.0179815898900485f, -0.0167040424034921f, // rad = 2.38073818279852, deg = 136.40625
126 0.671558954847019f, -0.740951125354959f, -0.0183861118932419f, -0.0162577211515257f, // rad = 2.40528187540469, deg = 137.8125
127 0.653172842953777f, -0.757208846506485f, -0.0187795587901312f, -0.0158016068562524f, // rad = 2.42982556801086, deg = 139.21875
128 0.634393284163645f, -0.773010453362737f, -0.0191616935830186f, -0.0153359742638692f, // rad = 2.45436926061703, deg = 140.625
129 0.615231590580627f, -0.788346427626606f, -0.0195322860881935f, -0.0148611038540386f, // rad = 2.4789129532232, deg = 142.03125
130 0.595699304492433f, -0.803207531480645f, -0.019891113074588f, -0.0143772816709388f, // rad = 2.50345664582937, deg = 143.4375
131 0.575808191417845f, -0.817584813151584f, -0.0202379583982433f, -0.0138847991509617f, // rad = 2.52800033843554, deg = 144.84375
132 0.555570233019602f, -0.831469612302545f, -0.020572613132505f, -0.0133839529471618f, // rad = 2.55254403104171, deg = 146.25
133 0.534997619887097f, -0.844853565249707f, -0.0208948756938754f, -0.0128750447505649f, // rad = 2.57708772364788, deg = 147.65625
134 0.514102744193222f, -0.857728610000272f, -0.0212045519634376f, -0.0123583811084393f, // rad = 2.60163141625405, deg = 149.0625
135 0.492898192229784f, -0.870086991108711f, -0.0215014554037863f, -0.0118342732396436f, // rad = 2.62617510886022, deg = 150.46875
136 0.471396736825998f, -0.881921264348355f, -0.021785407171391f, -0.0113030368471603f, // rad = 2.65071880146639, deg = 151.875
137 0.449611329654607f, -0.893224301195515f, -0.0220562362243248f, -0.0107649919279281f, // rad = 2.67526249407256, deg = 153.28125
138 0.427555093430282f, -0.903989293123443f, -0.0223137794252921f, -0.0102204625800874f, // rad = 2.69980618667873, deg = 154.6875
139 0.40524131400499f, -0.914209755703531f, -0.0225578816399f, -0.00966977680775605f, // rad = 2.7243498792849, deg = 156.09375
140 0.38268343236509f, -0.923879532511287f, -0.0227883958301016f, -0.00911326632345211f, // rad = 2.74889357189107, deg = 157.5
141 0.359895036534988f, -0.932992798834739f, -0.023005183142768f, -0.00855126634828185f, // rad = 2.77343726449724, deg = 158.90625
142 0.33688985339222f, -0.941544065183021f, -0.0232081129933289f, -0.00798411541001598f, // rad = 2.79798095710341, deg = 160.3125
143 0.313681740398891f, -0.949528180593037f, -0.023397063144429f, -0.00741215513917215f, // rad = 2.82252464970958, deg = 161.71875
144 0.290284677254462f, -0.956940335732209f, -0.0235719197795639f, -0.00683573006323102f, // rad = 2.84706834231575, deg = 163.125
145 0.266712757474898f, -0.96377606579544f, -0.0237325775716344f, -0.00625518739910413f, // rad = 2.87161203492192, deg = 164.53125
146 0.242980179903264f, -0.970031253194544f, -0.023878939746394f, -0.00567087684398448f, // rad = 2.89615572752809, deg = 165.9375
147 0.21910124015687f, -0.975702130038528f, -0.0240109181407414f, -0.00508315036470197f, // rad = 2.92069942013426, deg = 167.34375
148 0.195090322016129f, -0.98078528040323f, -0.0241284332558274f, -0.00449236198571079f, // rad = 2.94524311274043, deg = 168.75
149 0.170961888760301f, -0.985277642388941f, -0.0242314143049394f, -0.00389886757583979f, // rad = 2.9697868053466, deg = 170.15625
150 0.146730474455362f, -0.989176509964781f, -0.0243197992561455f, -0.00330302463392895f, // rad = 2.99433049795277, deg = 171.5625
151 0.122410675199216f, -0.99247953459871f, -0.0243935348696555f, -0.00270519207348685f, // rad = 3.01887419055894, deg = 172.96875
152 0.0980171403295608f, -0.995184726672197f, -0.0244525767298931f, -0.00210573000649339f, // rad = 3.04341788316511, deg = 174.375
153 0.0735645635996677f, -0.99729045667869f, -0.0244968892722498f, -0.0015049995264822f, // rad = 3.06796157577128, deg = 175.78125
154 0.049067674327418f, -0.998795456205172f, -0.0245264458045056f, -0.000903362491031845f, // rad = 3.09250526837745, deg = 177.1875
155 0.0245412285229123f, -0.999698818696204f, -0.0245412285229122f, -0.00030118130379575f, // rad = 3.11704896098362, deg = 178.59375
156 0.0f, -1.0f, -0.0245412285229122f, 0.00030118130379575f, // rad = 3.14159265358979, deg = 180.0
157 -0.0245412285229121f, -0.999698818696204f, -0.0245264458045056f, 0.000903362491031845f, // rad = 3.16613634619596, deg = 181.40625
158 -0.0490676743274177f, -0.998795456205172f, -0.0244968892722498f, 0.0015049995264822f, // rad = 3.19068003880213, deg = 182.8125
159 -0.0735645635996675f, -0.99729045667869f, -0.0244525767298931f, 0.00210573000649328f, // rad = 3.2152237314083, deg = 184.21875
160 -0.0980171403295606f, -0.995184726672197f, -0.0243935348696555f, 0.00270519207348696f, // rad = 3.23976742401447, deg = 185.625
161 -0.122410675199216f, -0.99247953459871f, -0.0243197992561455f, 0.00330302463392895f, // rad = 3.26431111662064, deg = 187.03125
162 -0.146730474455362f, -0.989176509964781f, -0.0242314143049394f, 0.00389886757583968f, // rad = 3.28885480922681, deg = 188.4375
163 -0.170961888760301f, -0.985277642388941f, -0.0241284332558274f, 0.0044923619857109f, // rad = 3.31339850183298, deg = 189.84375
164 -0.195090322016128f, -0.98078528040323f, -0.0240109181407414f, 0.00508315036470186f, // rad = 3.33794219443916, deg = 191.25
165 -0.21910124015687f, -0.975702130038529f, -0.023878939746394f, 0.0056708768439846f, // rad = 3.36248588704533, deg = 192.65625
166 -0.242980179903264f, -0.970031253194544f, -0.0237325775716344f, 0.00625518739910402f, // rad = 3.3870295796515, deg = 194.0625
167 -0.266712757474898f, -0.96377606579544f, -0.0235719197795639f, 0.00683573006323102f, // rad = 3.41157327225767, deg = 195.46875
168 -0.290284677254462f, -0.956940335732209f, -0.0233970631444291f, 0.00741215513917215f, // rad = 3.43611696486384, deg = 196.875
169 -0.313681740398891f, -0.949528180593037f, -0.0232081129933289f, 0.00798411541001598f, // rad = 3.46066065747001, deg = 198.28125
170 -0.33688985339222f, -0.941544065183021f, -0.023005183142768f, 0.00855126634828185f, // rad = 3.48520435007618, deg = 199.6875
171 -0.359895036534988f, -0.932992798834739f, -0.0227883958301016f, 0.00911326632345211f, // rad = 3.50974804268235, deg = 201.09375
172 -0.38268343236509f, -0.923879532511287f, -0.0225578816399f, 0.00966977680775616f, // rad = 3.53429173528852, deg = 202.5
173 -0.40524131400499f, -0.914209755703531f, -0.0223137794252921f, 0.0102204625800872f, // rad = 3.55883542789469, deg = 203.90625
174 -0.427555093430282f, -0.903989293123443f, -0.0220562362243248f, 0.0107649919279281f, // rad = 3.58337912050086, deg = 205.3125
175 -0.449611329654607f, -0.893224301195515f, -0.021785407171391f, 0.0113030368471603f, // rad = 3.60792281310703, deg = 206.71875
176 -0.471396736825998f, -0.881921264348355f, -0.0215014554037863f, 0.0118342732396436f, // rad = 3.6324665057132, deg = 208.125
177 -0.492898192229784f, -0.870086991108711f, -0.0212045519634376f, 0.0123583811084393f, // rad = 3.65701019831937, deg = 209.53125
178 -0.514102744193222f, -0.857728610000272f, -0.0208948756938754f, 0.0128750447505649f, // rad = 3.68155389092554, deg = 210.9375
179 -0.534997619887097f, -0.844853565249707f, -0.020572613132505f, 0.0133839529471618f, // rad = 3.70609758353171, deg = 212.34375
180 -0.555570233019602f, -0.831469612302545f, -0.0202379583982434f, 0.0138847991509617f, // rad = 3.73064127613788, deg = 213.75
181 -0.575808191417845f, -0.817584813151584f, -0.0198911130745879f, 0.0143772816709388f, // rad = 3.75518496874405, deg = 215.15625
182 -0.595699304492433f, -0.803207531480645f, -0.0195322860881935f, 0.0148611038540386f, // rad = 3.77972866135022, deg = 216.5625
183 -0.615231590580627f, -0.788346427626606f, -0.0191616935830186f, 0.0153359742638692f, // rad = 3.80427235395639, deg = 217.96875
184 -0.634393284163645f, -0.773010453362737f, -0.0187795587901313f, 0.0158016068562523f, // rad = 3.82881604656256, deg = 219.375
185 -0.653172842953777f, -0.757208846506485f, -0.0183861118932419f, 0.0162577211515257f, // rad = 3.85335973916873, deg = 220.78125
186 -0.671558954847018f, -0.740951125354959f, -0.0179815898900484f, 0.0167040424034921f, // rad = 3.8779034317749, deg = 222.1875
187 -0.689540544737067f, -0.724247082951467f, -0.0175662364494806f, 0.0171403017649193f, // rad = 3.90244712438107, deg = 223.59375
188 -0.707106781186547f, -0.707106781186548f, -0.0171403017649193f, 0.0175662364494806f, // rad = 3.92699081698724, deg = 225.0
189 -0.724247082951467f, -0.689540544737067f, -0.0167040424034921f, 0.0179815898900484f, // rad = 3.95153450959341, deg = 226.40625
190 -0.740951125354959f, -0.671558954847019f, -0.0162577211515254f, 0.0183861118932416f, // rad = 3.97607820219958, deg = 227.8125
191 -0.757208846506484f, -0.653172842953777f, -0.0158016068562524f, 0.0187795587901312f, // rad = 4.00062189480575, deg = 229.21875
192 -0.773010453362737f, -0.634393284163646f, -0.0153359742638692f, 0.0191616935830187f, // rad = 4.02516558741192, deg = 230.625
193 -0.788346427626606f, -0.615231590580627f, -0.0148611038540392f, 0.0195322860881941f, // rad = 4.04970928001809, deg = 232.03125
194 -0.803207531480645f, -0.595699304492433f, -0.0143772816709388f, 0.0198911130745879f, // rad = 4.07425297262426, deg = 233.4375
195 -0.817584813151584f, -0.575808191417845f, -0.0138847991509614f, 0.0202379583982431f, // rad = 4.09879666523043, deg = 234.84375
196 -0.831469612302545f, -0.555570233019602f, -0.0133839529471618f, 0.0205726131325049f, // rad = 4.1233403578366, deg = 236.25
197 -0.844853565249707f, -0.534997619887097f, -0.012875044750565f, 0.0208948756938755f, // rad = 4.14788405044277, deg = 237.65625
198 -0.857728610000272f, -0.514102744193222f, -0.0123583811084393f, 0.0212045519634376f, // rad = 4.17242774304894, deg = 239.0625
199 -0.870086991108711f, -0.492898192229784f, -0.0118342732396436f, 0.0215014554037863f, // rad = 4.19697143565511, deg = 240.46875
200 -0.881921264348355f, -0.471396736825998f, -0.0113030368471603f, 0.0217854071713909f, // rad = 4.22151512826128, deg = 241.875
201 -0.893224301195515f, -0.449611329654607f, -0.0107649919279279f, 0.0220562362243245f, // rad = 4.24605882086745, deg = 243.28125
202 -0.903989293123443f, -0.427555093430282f, -0.0102204625800874f, 0.0223137794252921f, // rad = 4.27060251347362, deg = 244.6875
203 -0.91420975570353f, -0.40524131400499f, -0.00966977680775605f, 0.0225578816399f, // rad = 4.29514620607979, deg = 246.09375
204 -0.923879532511287f, -0.38268343236509f, -0.00911326632345244f, 0.0227883958301024f, // rad = 4.31968989868597, deg = 247.5
205 -0.932992798834739f, -0.359895036534988f, -0.00855126634828185f, 0.023005183142768f, // rad = 4.34423359129214, deg = 248.90625
206 -0.941544065183021f, -0.33688985339222f, -0.00798411541001587f, 0.0232081129933285f, // rad = 4.36877728389831, deg = 250.3125
207 -0.949528180593037f, -0.313681740398891f, -0.00741215513917215f, 0.023397063144429f, // rad = 4.39332097650448, deg = 251.71875
208 -0.956940335732209f, -0.290284677254462f, -0.00683573006323102f, 0.0235719197795639f, // rad = 4.41786466911065, deg = 253.125
209 -0.96377606579544f, -0.266712757474899f, -0.00625518739910413f, 0.0237325775716344f, // rad = 4.44240836171682, deg = 254.53125
210 -0.970031253194544f, -0.242980179903264f, -0.00567087684398448f, 0.023878939746394f, // rad = 4.46695205432299, deg = 255.9375
211 -0.975702130038528f, -0.21910124015687f, -0.00508315036470186f, 0.0240109181407414f, // rad = 4.49149574692916, deg = 257.34375
212 -0.98078528040323f, -0.195090322016129f, -0.00449236198571079f, 0.024128433255827f, // rad = 4.51603943953533, deg = 258.75
213 -0.985277642388941f, -0.170961888760302f, -0.00389886757583979f, 0.0242314143049394f, // rad = 4.5405831321415, deg = 260.15625
214 -0.989176509964781f, -0.146730474455362f, -0.00330302463392917f, 0.0243197992561463f, // rad = 4.56512682474767, deg = 261.5625
215 -0.99247953459871f, -0.122410675199216f, -0.00270519207348685f, 0.0243935348696555f, // rad = 4.58967051735384, deg = 262.96875
216 -0.995184726672197f, -0.0980171403295605f, -0.00210573000649328f, 0.0244525767298931f, // rad = 4.61421420996001, deg = 264.375
217 -0.99729045667869f, -0.0735645635996674f, -0.0015049995264822f, 0.0244968892722493f, // rad = 4.63875790256618, deg = 265.78125
218 -0.998795456205172f, -0.049067674327418f, -0.000903362491031845f, 0.0245264458045056f, // rad = 4.66330159517235, deg = 267.1875
219 -0.999698818696204f, -0.0245412285229124f, -0.00030118130379575f, 0.0245412285229122f, // rad = 4.68784528777852, deg = 268.59375
220 -1.0f, 0.0f, 0.00030118130379575f, 0.0245412285229122f, // rad = 4.71238898038469, deg = 270.0
221 -0.999698818696204f, 0.024541228522912f, 0.000903362491031845f, 0.0245264458045056f, // rad = 4.73693267299086, deg = 271.40625
222 -0.998795456205172f, 0.0490676743274177f, 0.0015049995264822f, 0.0244968892722493f, // rad = 4.76147636559703, deg = 272.8125
223 -0.99729045667869f, 0.073564563599667f, 0.00210573000649328f, 0.0244525767298931f, // rad = 4.7860200582032, deg = 274.21875
224 -0.995184726672197f, 0.0980171403295601f, 0.00270519207348685f, 0.0243935348696555f, // rad = 4.81056375080937, deg = 275.625
225 -0.99247953459871f, 0.122410675199216f, 0.00330302463392917f, 0.0243197992561463f, // rad = 4.83510744341554, deg = 277.03125
226 -0.989176509964781f, 0.146730474455362f, 0.00389886757583968f, 0.0242314143049394f, // rad = 4.85965113602171, deg = 278.4375
227 -0.985277642388941f, 0.170961888760301f, 0.00449236198571079f, 0.024128433255827f, // rad = 4.88419482862788, deg = 279.84375
228 -0.98078528040323f, 0.195090322016128f, 0.00508315036470186f, 0.0240109181407414f, // rad = 4.90873852123405, deg = 281.25
229 -0.975702130038529f, 0.21910124015687f, 0.0056708768439846f, 0.023878939746394f, // rad = 4.93328221384022, deg = 282.65625
230 -0.970031253194544f, 0.242980179903264f, 0.00625518739910402f, 0.0237325775716344f, // rad = 4.95782590644639, deg = 284.0625
231 -0.96377606579544f, 0.266712757474898f, 0.00683573006323102f, 0.0235719197795639f, // rad = 4.98236959905256, deg = 285.46875
232 -0.956940335732209f, 0.290284677254462f, 0.00741215513917215f, 0.0233970631444291f, // rad = 5.00691329165873, deg = 286.875
233 -0.949528180593037f, 0.313681740398891f, 0.00798411541001587f, 0.0232081129933285f, // rad = 5.0314569842649, deg = 288.28125
234 -0.941544065183021f, 0.33688985339222f, 0.00855126634828185f, 0.023005183142768f, // rad = 5.05600067687107, deg = 289.6875
235 -0.932992798834739f, 0.359895036534988f, 0.00911326632345244f, 0.0227883958301024f, // rad = 5.08054436947724, deg = 291.09375
236 -0.923879532511287f, 0.38268343236509f, 0.00966977680775605f, 0.0225578816399f, // rad = 5.10508806208341, deg = 292.5
237 -0.914209755703531f, 0.40524131400499f, 0.0102204625800872f, 0.0223137794252921f, // rad = 5.12963175468958, deg = 293.90625
238 -0.903989293123443f, 0.427555093430282f, 0.010764991927928f, 0.0220562362243245f, // rad = 5.15417544729575, deg = 295.3125
239 -0.893224301195515f, 0.449611329654607f, 0.0113030368471603f, 0.021785407171391f, // rad = 5.17871913990192, deg = 296.71875
240 -0.881921264348355f, 0.471396736825998f, 0.0118342732396436f, 0.0215014554037863f, // rad = 5.2032628325081, deg = 298.125
241 -0.870086991108711f, 0.492898192229784f, 0.0123583811084392f, 0.0212045519634377f, // rad = 5.22780652511427, deg = 299.53125
242 -0.857728610000272f, 0.514102744193222f, 0.012875044750565f, 0.0208948756938754f, // rad = 5.25235021772044, deg = 300.9375
243 -0.844853565249707f, 0.534997619887097f, 0.0133839529471618f, 0.0205726131325049f, // rad = 5.27689391032661, deg = 302.34375
244 -0.831469612302545f, 0.555570233019602f, 0.0138847991509614f, 0.0202379583982431f, // rad = 5.30143760293278, deg = 303.75
245 -0.817584813151584f, 0.575808191417845f, 0.0143772816709388f, 0.019891113074588f, // rad = 5.32598129553895, deg = 305.15625
246 -0.803207531480645f, 0.595699304492433f, 0.0148611038540392f, 0.0195322860881941f, // rad = 5.35052498814512, deg = 306.5625
247 -0.788346427626606f, 0.615231590580627f, 0.0153359742638692f, 0.0191616935830186f, // rad = 5.37506868075129, deg = 307.96875
248 -0.773010453362737f, 0.634393284163646f, 0.0158016068562523f, 0.0187795587901312f, // rad = 5.39961237335746, deg = 309.375
249 -0.757208846506485f, 0.653172842953777f, 0.0162577211515255f, 0.0183861118932416f, // rad = 5.42415606596363, deg = 310.78125
250 -0.740951125354959f, 0.671558954847018f, 0.0167040424034921f, 0.0179815898900485f, // rad = 5.4486997585698, deg = 312.1875
251 -0.724247082951467f, 0.689540544737067f, 0.0171403017649193f, 0.0175662364494805f, // rad = 5.47324345117597, deg = 313.59375
252 -0.707106781186548f, 0.707106781186547f, 0.0175662364494805f, 0.0171403017649193f, // rad = 5.49778714378214, deg = 315.0
253 -0.689540544737067f, 0.724247082951467f, 0.0179815898900485f, 0.0167040424034922f, // rad = 5.52233083638831, deg = 316.40625
254 -0.671558954847019f, 0.740951125354959f, 0.0183861118932416f, 0.0162577211515254f, // rad = 5.54687452899448, deg = 317.8125
255 -0.653172842953777f, 0.757208846506484f, 0.0187795587901312f, 0.0158016068562524f, // rad = 5.57141822160065, deg = 319.21875
256 -0.634393284163646f, 0.773010453362737f, 0.0191616935830186f, 0.0153359742638692f, // rad = 5.59596191420682, deg = 320.625
257 -0.615231590580627f, 0.788346427626606f, 0.0195322860881941f, 0.0148611038540392f, // rad = 5.62050560681299, deg = 322.03125
258 -0.595699304492433f, 0.803207531480645f, 0.019891113074588f, 0.0143772816709387f, // rad = 5.64504929941916, deg = 323.4375
259 -0.575808191417845f, 0.817584813151584f, 0.0202379583982431f, 0.0138847991509615f, // rad = 5.66959299202533, deg = 324.84375
260 -0.555570233019602f, 0.831469612302545f, 0.0205726131325049f, 0.0133839529471618f, // rad = 5.6941366846315, deg = 326.25
261 -0.534997619887097f, 0.844853565249707f, 0.0208948756938754f, 0.012875044750565f, // rad = 5.71868037723767, deg = 327.65625
262 -0.514102744193222f, 0.857728610000272f, 0.0212045519634376f, 0.0123583811084393f, // rad = 5.74322406984384, deg = 329.0625
263 -0.492898192229784f, 0.870086991108711f, 0.0215014554037863f, 0.0118342732396435f, // rad = 5.76776776245001, deg = 330.46875
264 -0.471396736825998f, 0.881921264348355f, 0.0217854071713909f, 0.0113030368471603f, // rad = 5.79231145505618, deg = 331.875
265 -0.449611329654607f, 0.893224301195515f, 0.0220562362243245f, 0.010764991927928f, // rad = 5.81685514766235, deg = 333.28125
266 -0.427555093430283f, 0.903989293123443f, 0.0223137794252921f, 0.0102204625800874f, // rad = 5.84139884026852, deg = 334.6875
267 -0.40524131400499f, 0.91420975570353f, 0.0225578816399f, 0.00966977680775605f, // rad = 5.86594253287469, deg = 336.09375
268 -0.38268343236509f, 0.923879532511287f, 0.0227883958301024f, 0.00911326632345244f, // rad = 5.89048622548086, deg = 337.5
269 -0.359895036534988f, 0.932992798834739f, 0.023005183142768f, 0.00855126634828185f, // rad = 5.91502991808703, deg = 338.90625
270 -0.33688985339222f, 0.941544065183021f, 0.0232081129933285f, 0.00798411541001587f, // rad = 5.9395736106932, deg = 340.3125
271 -0.313681740398892f, 0.949528180593037f, 0.023397063144429f, 0.00741215513917215f, // rad = 5.96411730329937, deg = 341.71875
272 -0.290284677254463f, 0.956940335732209f, 0.0235719197795639f, 0.00683573006323102f, // rad = 5.98866099590554, deg = 343.125
273 -0.266712757474899f, 0.96377606579544f, 0.0237325775716344f, 0.00625518739910413f, // rad = 6.01320468851171, deg = 344.53125
274 -0.242980179903264f, 0.970031253194544f, 0.023878939746394f, 0.00567087684398448f, // rad = 6.03774838111788, deg = 345.9375
275 -0.21910124015687f, 0.975702130038528f, 0.0240109181407414f, 0.00508315036470186f, // rad = 6.06229207372405, deg = 347.34375
276 -0.195090322016129f, 0.98078528040323f, 0.0241284332558269f, 0.00449236198571079f, // rad = 6.08683576633022, deg = 348.75
277 -0.170961888760302f, 0.985277642388941f, 0.0242314143049394f, 0.00389886757583979f, // rad = 6.11137945893639, deg = 350.15625
278 -0.146730474455362f, 0.989176509964781f, 0.0243197992561464f, 0.00330302463392906f, // rad = 6.13592315154256, deg = 351.5625
279 -0.122410675199216f, 0.99247953459871f, 0.0243935348696555f, 0.00270519207348696f, // rad = 6.16046684414874, deg = 352.96875
280 -0.0980171403295605f, 0.995184726672197f, 0.0244525767298931f, 0.00210573000649328f, // rad = 6.18501053675491, deg = 354.375
281 -0.0735645635996674f, 0.99729045667869f, 0.0244968892722493f, 0.0015049995264822f, // rad = 6.20955422936108, deg = 355.78125
282 -0.0490676743274181f, 0.998795456205172f, 0.0245264458045056f, 0.000903362491031845f, // rad = 6.23409792196725, deg = 357.1875
283 -0.0245412285229124f, 0.999698818696204f, 0.0245412285229122f, 0.00030118130379575f, // rad = 6.25864161457342, deg = 358.59375
284 0.0f, 1.0f, 0.0245412285229122f, -0.00030118130379575f, // rad = 6.28318530717959, deg = 360.0
285 };
286
287 } // end of namespace internal
288
289 namespace
290 {
291 //---- atan table
292 typedef struct AtanValue
293 {
294 f32 atan_val;
295 f32 atan_delta;
296 } ATanValue;
297
298 AtanValue sArcTanTbl[32+1] =
299 {
300 { 0.000000000f, 1.272825321f}, // Atan(0.00000) * 256/2pi
301 { 1.272825321f, 1.270345790f}, // Atan(0.03125) * 256/2pi
302 { 2.543171111f, 1.265415586f}, // Atan(0.06250) * 256/2pi
303 { 3.808586697f, 1.258091595f}, // Atan(0.09375) * 256/2pi
304 { 5.066678293f, 1.248457103f}, // Atan(0.12500) * 256/2pi
305 { 6.315135396f, 1.236619467f}, // Atan(0.15625) * 256/2pi
306 { 7.551754863f, 1.222707202f}, // Atan(0.18750) * 256/2pi
307 { 8.774462065f, 1.206866624f}, // Atan(0.21875) * 256/2pi
308 { 9.981328688f, 1.189258212f}, // Atan(0.25000) * 256/2pi
309 { 11.170586901f, 1.170052841f}, // Atan(0.28125) * 256/2pi
310 { 12.340639741f, 1.149428034f}, // Atan(0.31250) * 256/2pi
311 { 13.490067775f, 1.127564381f}, // Atan(0.34375) * 256/2pi
312 { 14.617632156f, 1.104642222f}, // Atan(0.37500) * 256/2pi
313 { 15.722274378f, 1.080838675f}, // Atan(0.40625) * 256/2pi
314 { 16.803113053f, 1.056325088f}, // Atan(0.43750) * 256/2pi
315 { 17.859438141f, 1.031264918f}, // Atan(0.46875) * 256/2pi
316 { 18.890703059f, 1.005812061f}, // Atan(0.50000) * 256/2pi
317 { 19.896515121f, 0.980109621f}, // Atan(0.53125) * 256/2pi
318 { 20.876624742f, 0.954289072f}, // Atan(0.56250) * 256/2pi
319 { 21.830913814f, 0.928469801f}, // Atan(0.59375) * 256/2pi
320 { 22.759383615f, 0.902758952f}, // Atan(0.62500) * 256/2pi
321 { 23.662142567f, 0.877251558f}, // Atan(0.65625) * 256/2pi
322 { 24.539394125f, 0.852030871f}, // Atan(0.68750) * 256/2pi
323 { 25.391424996f, 0.827168886f}, // Atan(0.71875) * 256/2pi
324 { 26.218593881f, 0.802726967f}, // Atan(0.75000) * 256/2pi
325 { 27.021320848f, 0.778756582f}, // Atan(0.78125) * 256/2pi
326 { 27.800077430f, 0.755300081f}, // Atan(0.81250) * 256/2pi
327 { 28.555377511f, 0.732391496f}, // Atan(0.84375) * 256/2pi
328 { 29.287769007f, 0.710057351f}, // Atan(0.87500) * 256/2pi
329 { 29.997826358f, 0.688317453f}, // Atan(0.90625) * 256/2pi
330 { 30.686143811f, 0.667185647f}, // Atan(0.93750) * 256/2pi
331 { 31.353329458f, 0.646670542f}, // Atan(0.96875) * 256/2pi
332 { 32.000000000f, 0.626776175f}, // Atan(1.00000) * 256/2pi
333 };
334
335
336
337
338
339
340 /*!--------------------------------------------------------------------------*
341 Name: AtanFIdx_
342
343
344
345
346
347
348
349
350 *---------------------------------------------------------------------------*/
AtanFIdx_(f32 x)351 f32 AtanFIdx_(f32 x)
352 {
353 u16 idx;
354 f32 val;
355 f32 r;
356
357 // Make sure that 0 <= x <= 1
358 x *= 32.f;
359 idx = F32ToU16(x);
360 r = x - U16ToF32(idx);
361
362 val = sArcTanTbl[idx].atan_val + r * sArcTanTbl[idx].atan_delta;
363
364 return val;
365 }
366
367
368 } // End of anonymous namespace
369
370
371
372 /*!--------------------------------------------------------------------------*
373 Name: SinFIdx
374
375
376
377
378
379
380 *---------------------------------------------------------------------------*/
SinFIdx(f32 fidx)381 f32 SinFIdx(f32 fidx)
382 {
383 f32 abs_fidx;
384 f32 val;
385 u16 idx;
386 f32 r;
387
388 NN_FLOAT_TASSERT_(fidx);
389
390 abs_fidx = FAbs(fidx);
391 while( abs_fidx >= 65536.0f )
392 {
393 abs_fidx -= 65536.0f;
394 }
395
396 idx = F32ToU16(abs_fidx);
397 r = abs_fidx - U16ToF32(idx);
398 idx &= 0xff;
399
400 val = internal::gSinCosTbl[idx].sin_val + r * internal::gSinCosTbl[idx].sin_delta;
401
402 return (fidx < 0.0f) ? -val: val;
403 }
404
405
406 /*
407
408
409
410
411
412 */
SinIdx(u16 idx)413 f32 SinIdx(u16 idx)
414 {
415 u16 i = idx >> 8;
416 u16 d = idx & 0xff;
417 f32 val = internal::gSinCosTbl[i].sin_val + U16ToF32(d) * (1.f / 256.f) * internal::gSinCosTbl[i].sin_delta;
418
419 val = (idx >> 31) ? -val : val;
420
421 return val;
422 }
423
424
425 /*!--------------------------------------------------------------------------*
426 Name: CosFIdx
427
428
429
430
431
432
433 *---------------------------------------------------------------------------*/
CosFIdx(f32 fidx)434 f32 CosFIdx(f32 fidx)
435 {
436 u16 idx;
437 f32 r;
438
439 NN_FLOAT_TASSERT_(fidx);
440
441 fidx = FAbs(fidx);
442 while( fidx >= 65536.0f )
443 {
444 fidx -= 65536.0f;
445 }
446
447 idx = F32ToU16(fidx);
448 r = fidx - U16ToF32(idx);
449 idx &= 0xff;
450
451 return internal::gSinCosTbl[idx].cos_val + r * internal::gSinCosTbl[idx].cos_delta;
452 }
453
454
455 /*
456
457
458
459
460
461 */
CosIdx(u16 idx)462 f32 CosIdx(u16 idx)
463 {
464 u16 i = idx >> 8;
465 u16 d = idx & 0xff;
466 return internal::gSinCosTbl[i].cos_val + U16ToF32(d) * (1.f / 256.f) * internal::gSinCosTbl[i].cos_delta;
467 }
468
469
470 /*!--------------------------------------------------------------------------*
471 Name: SinCosFIdx
472
473
474
475
476
477
478
479
480 *---------------------------------------------------------------------------*/
481 void
SinCosFIdx(f32 * pSin,f32 * pCos,f32 fidx)482 SinCosFIdx(f32* pSin, f32* pCos, f32 fidx)
483 {
484 NN_FLOAT_TASSERT_(fidx);
485
486 u16 idx;
487 f32 abs_fidx;
488 f32 r;
489 f32 sVal, cVal;
490
491 abs_fidx = FAbs(fidx);
492 while( abs_fidx >= 65536.0f )
493 {
494 abs_fidx -= 65536.0f;
495 }
496
497 idx = F32ToU16(abs_fidx);
498 r = abs_fidx - U16ToF32(idx);
499 idx &= 0xff;
500
501 sVal = internal::gSinCosTbl[idx].sin_val + r * internal::gSinCosTbl[idx].sin_delta;
502 cVal = internal::gSinCosTbl[idx].cos_val + r * internal::gSinCosTbl[idx].cos_delta;
503
504 *pSin = (fidx < 0.0f) ? -sVal : sVal;
505 *pCos = cVal;
506 }
507
508
509 /*
510
511
512
513
514
515
516
517 */
SinCosIdx(f32 * pSin,f32 * pCos,u16 idx)518 void SinCosIdx(f32* pSin, f32* pCos, u16 idx)
519 {
520 #if defined( NN_HARDWARE_CTR )
521 #if (TRIANGULAR_SINCOSIDX_CONFIG == D_ORG)
522 u16 i = idx >> 8;
523 u16 d = idx & 0xff;
524 f32 fd = U16ToF32(d) * (1.f / 256.f);
525 f32 sVal = internal::gSinCosTbl[i].sin_val + fd * internal::gSinCosTbl[i].sin_delta;
526 f32 cVal = internal::gSinCosTbl[i].cos_val + fd * internal::gSinCosTbl[i].cos_delta;
527
528 *pSin = (idx >> 31) ? -sVal : sVal;
529 *pCos = cVal;
530 #elif (TRIANGULAR_SINCOSIDX_CONFIG == D_FAST_C)
531 #elif (TRIANGULAR_SINCOSIDX_CONFIG == D_FAST_ASM)
532 ARMv6::SinCosIdxAsm( pSin, pCos, idx );
533 #elif (MTX33MULT_CONFIG == D_FAST_C_ALGO)
534 #elif (MTX33MULT_CONFIG == D_FAST_ASM_ALGO)
535 #endif
536 #else
537 #endif
538 }
539
540
541
542 /*
543 Divide by 2^16 from -8 to 8, including both ends, and calculate the error at each sample point.
544 For sExpTbl[32] Maximum relative error for std is 0.0325 % Average relative error is 0.00391 %
545 For sExpTbl[128] Maximum relative error for std is 0.00203 % Average relative error is 0.000245 %
546 */
547
548 /*!--------------------------------------------------------------------------*
549 Name: AtanFIdx
550
551
552
553
554
555
556 *---------------------------------------------------------------------------*/
AtanFIdx(f32 x)557 f32 AtanFIdx(f32 x)
558 {
559 if( x >= 0.f )
560 {
561 if( x > 1.f )
562 {
563 // 1 < x
564 return 64.f - AtanFIdx_(1.f/x);
565 }
566 else
567 {
568 // 0 <= x <= 1
569 return AtanFIdx_(x);
570 }
571 }
572 else
573 {
574 if( x < -1.f )
575 {
576 // x < -1
577 return -64.f + AtanFIdx_(-1.f/x);
578 }
579 else
580 {
581 // -1 <= x < 0
582 return - AtanFIdx_(-x);
583 }
584 }
585
586 }
587
588
589 /*!--------------------------------------------------------------------------*
590 Name: AtanFIdx
591
592
593
594
595
596
597
598 *---------------------------------------------------------------------------*/
Atan2FIdx(f32 y,f32 x)599 f32 Atan2FIdx(f32 y, f32 x)
600 {
601 f32 a;
602 f32 b;
603 f32 c;
604 bool minus;
605
606 if( x == 0.f && y == 0.f )
607 {
608 return 0.f;
609 }
610
611 if( x >= 0.f )
612 {
613 if( y >= 0.f )
614 {
615 if( x >= y )
616 {
617 // 1
618 a = x;
619 b = y;
620 c = 0.f;
621 minus = false;
622 }
623 else
624 {
625 // 2
626 a = y;
627 b = x;
628 c = 64.f;
629 minus = true;
630 }
631 }
632 else
633 {
634 if( x >= -y )
635 {
636 // -1
637 a = x;
638 b = -y;
639 c = 0.f;
640 minus = true;
641 }
642 else
643 {
644 // -2
645 a = -y;
646 b = x;
647 c = - 64.f;
648 minus = false;
649 }
650 }
651 }
652 else
653 {
654 if( y >= 0.f )
655 {
656 if( -x >= y )
657 {
658 // 4
659 a = -x;
660 b = y;
661 c = 128.f;
662 minus = true;
663 }
664 else
665 {
666 // 3
667 a = y;
668 b = -x;
669 c = 64.f;
670 minus = false;
671 }
672 }
673 else
674 {
675 if( -x >= -y )
676 {
677 // -4
678 a = -x;
679 b = -y;
680 c = - 128.f;
681 minus = false;
682 }
683 else
684 {
685 // -3
686 a = -y;
687 b = -x;
688 c = - 64.f;
689 minus = true;
690 }
691 }
692 }
693
694 return minus ?
695 c - AtanFIdx_(b/a):
696 c + AtanFIdx_(b/a);
697 }
698
699
700
701 /*!--------------------------------------------------------------------------*
702 Name: AtanIdx
703
704
705
706
707
708 *---------------------------------------------------------------------------*/
709
710 // Returns an index in the range of 0 - 90 degrees and 270 - 360 degrees
AtanIdx(f32 x)711 u16 AtanIdx(f32 x)
712 {
713 f32 fidx = 0.f;
714 if( x >= 0.f )
715 {
716 if( x > 1.f )
717 {
718 // 1 < x
719 fidx = 64.f - AtanFIdx_(1.f/x);
720 }
721 else
722 {
723 // 0 <= x <= 1
724 fidx = AtanFIdx_(x);
725 }
726 }
727 else
728 {
729 if( x < -1.f )
730 {
731 // x < -1
732 fidx = 256.f - 64.f + AtanFIdx_(-1.f/x);
733 }
734 else
735 {
736 // -1 <= x < 0
737 fidx = 256.f - AtanFIdx_(-x);
738 }
739 }
740 return F32ToU16(fidx * 256.f);
741 }
742
743
744
745 /*!--------------------------------------------------------------------------*
746 Name: Atan2Idx
747
748
749
750
751
752
753 *---------------------------------------------------------------------------*/
754
755 // Returns an index in the range of 0 - 360 degrees
Atan2Idx(f32 y,f32 x)756 u16 Atan2Idx(f32 y, f32 x)
757 {
758 f32 a;
759 f32 b;
760 f32 c;
761 bool minus;
762
763 if( x == 0.f && y == 0.f )
764 {
765 return 0;
766 }
767
768 if( x >= 0.f )
769 {
770 if( y >= 0.f )
771 {
772 if( x >= y )
773 {
774 // 1
775 a = x;
776 b = y;
777 c = 0.f;
778 minus = false;
779 }
780 else
781 {
782 // 2
783 a = y;
784 b = x;
785 c = 64.f;
786 minus = true;
787 }
788 }
789 else
790 {
791 if( x >= -y )
792 {
793 // -1
794 a = x;
795 b = -y;
796 c = 256.f;
797 minus = true;
798 }
799 else
800 {
801 // -2
802 a = -y;
803 b = x;
804 c = 192.f;
805 minus = false;
806 }
807 }
808 }
809 else
810 {
811 if( y >= 0.f )
812 {
813 if( -x >= y )
814 {
815 // 4
816 a = -x;
817 b = y;
818 c = 128.f;
819 minus = true;
820 }
821 else
822 {
823 // 3
824 a = y;
825 b = -x;
826 c = 64.f;
827 minus = false;
828 }
829 }
830 else
831 {
832 if( -x >= -y )
833 {
834 // -4
835 a = -x;
836 b = -y;
837 c = 128.f;
838 minus = false;
839 }
840 else
841 {
842 // -3
843 a = -y;
844 b = -x;
845 c = 192.f;
846 minus = true;
847 }
848 }
849 }
850
851 return F32ToU16((minus ? c - AtanFIdx_(b/a) : c + AtanFIdx_(b/a)) * 256.f);
852 }
853
854
855
856 }} // nw::math
857