529 lines
15 KiB
Plaintext
529 lines
15 KiB
Plaintext
/* Constants Data Base
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* contains constant name, offset, and hex value
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* -used by make file to generate table with name and address
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* -used by loader(s?) to download values to addresses
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*
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* the address of a value is the specified offset added to:
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* s.p. constants: 0x400 "s...."
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* s.p. coeficients: 0x500 "c_s...."
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* d.p. constants: 0x600 "d...."
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* d.p. coeficients: 0x700 "c_d...."
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*/
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/* Constants for common user usage */
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/* 0 (zero) */
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szero 0 00000000
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dzero 0 0000000000000000
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/* 1.401298464324817071E-45 2**-150 (minimum subnormal) */
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sminsub 1 00000001
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/* 4.940656458412465442E-324 2**-1075 (minimum subnormal) */
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dminsub 1 0000000000000001
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/* 1.175494210692441075E-38 2**-127 - 2**-150 (maximum subnormal) */
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smaxsub 2 007FFFFF
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/* 2.225073858507200889E-308 2**-1023 - 2**-1075 (maximum subnormal) */
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dmaxsub 2 000FFFFFFFFFFFFF
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/* 1.175494350822287508E-38 2**-127 (minimum normal) */
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sminnorm 3 00800000
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/* 2.225073858507201383E-308 2**-1023 (minimum normal) */
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dminnorm 3 0010000000000000
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/* 3.402823466385288598E+38 2**127 - 2**103 (maximum normal) */
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smaxnorm 4 7F7FFFFF
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/* 1.797693134862315708E+308 2**1023 - 2**970 (maximum normal) */
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dmaxnorm 4 7FEFFFFFFFFFFFFF
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/* infinity */
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sinf 5 7F800000
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dinf 5 7FF0000000000000
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/* signalling NaN (Not a Number) */
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ssnan 6 7FBFFFFF
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dsnan 6 7FF7FFFFFFFFFFFF
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/* quiet NaN */
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sqnan 7 7FFFFFFF
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dqnan 7 7FFFFFFFFFFFFFFF
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/* 2.718281745910644531 e */
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se 8 402DF854
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/* 2.718281828459045091 e */
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de 8 4005BF0A8B145769
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/* 6.283185482025146484 2*pi */
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s2pi 9 40C90FDB
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/* 6.283185307179586232 2*pi */
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d2pi 9 401921FB54442D18
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/* 3.141592741012573242 pi */
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spi A 40490FDB
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/* 3.141592653589793116 pi */
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dpi A 400921FB54442D18
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/* 1.570796370506286621 pi/2 */
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spio2 B 3FC90FDB
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/* 1.570796326794896558 pi/2 */
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dpio2 B 3FF921FB54442D18
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/* 1.414213538169860840 sqrt(2) */
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ssqrt2 C 3FB504F3
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/* 1.414213562373095145 sqrt(2) */
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dsqrt2 C 3FF6A09E667F3BCD
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/* 7.071067690849304199E-1 sqrt(1/2) */
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ssqrthalf D 3F3504F3
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/* 7.071067811865475727E-1 sqrt(1/2) */
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dsqrthalf D 3FE6A09E667F3BCD
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/* 1 one */
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sone E 3F800000
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done E 3FF0000000000000
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/* .5 one half */
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shalf F 3F000000
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dhalf F 3FE0000000000000
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/* -1 negative one */
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smone 10 BF800000
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dmone 10 BFF0000000000000
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/* 2 two */
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stwo 11 40000000
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dtwo 11 4000000000000000
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/* 3 three */
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sthree B1 40400000
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dthree B1 4008000000000000
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/* 4 four */
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sfour 12 40800000
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dfour 12 4010000000000000
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/* 8 eight */
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seight 13 41000000
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deight 13 4020000000000000
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/* .5 one half */
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s1o2 14 3f000000
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d1o2 14 3fe0000000000000
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/* .25 one quarter */
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s1o4 15 3e800000
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d1o4 15 3fd0000000000000
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/* .125 one eighth */
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s1o8 16 3e000000
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d1o8 16 3fc0000000000000
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/* 10 ten */
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s1e1 17 41200000
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d1e1 17 4024000000000000
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/* 100 one hundred */
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s1e2 18 42c80000
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d1e2 18 4059000000000000
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/* 1000 one thousand */
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s1e3 19 447a0000
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d1e3 19 408F400000000000
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/* 10000 ten thousand */
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s1e4 20 461C4000
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d1e4 20 40C3880000000000
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/* 100000 one hundred thousand */
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s1e5 21 47C35000
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d1e5 21 40F86A0000000000
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/* 1000000 one million */
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s1e6 22 49742400
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d1e6 22 412E848000000000
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/* 10000000 ten million */
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s1e7 23 4B189680
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d1e7 23 416312D000000000
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/* 100000000 one hundred million */
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s1e8 24 4CBEBC20
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d1e8 24 4197D78400000000
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/* 1000000000 one billion */
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s1e9 25 4E6E6B28
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d1e9 25 41CDCD6500000000
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/* 10000000000 ten billion */
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s1e10 26 501502F9
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d1e10 26 4202A05F20000000
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/* -1.570796370506286621 -pi/2 */
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smpio2 27 BFC90FDB
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/* -1.570796326794896558 -pi/2 */
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dmpio2 27 BFF921FB54442D18
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/* 1.442695021629333496 log2(e) */
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slog2e 28 3FB8AA3B
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/* 1.442695040888963387 log2(e) */
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dlog2e 28 3FF71547652B82FE
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/* 3.321928024291992188 log2(10) */
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slog2ten 29 40549A78
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/* 3.321928094887362182 log2(10) */
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dlog2ten 29 400A934F0979A371
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/* 6.931471824645996094E-1 loge(2) */
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slogetwo 2A 3F317218
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/* 6.931471805599452862E-1 loge(2) */
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dlogetwo 2A 3FE62E42FEFA39EF
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/* 2.302585124969482422 loge(10) */
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slogeten 2B 40135D8E
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/* 2.302585092994045901 loge(10) */
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dlogeten 2B 40026BB1BBB55516
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/* 3.010300099849700928E-1 log10(2) */
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slog10two 2C 3E9A209B
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/* 3.010299956639811980E-1 log10(2) */
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dlog10two 2C 3FD34413509F79FF
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/* 4.342944920063018799E-1 log10(e) */
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slog10e 2D 3EDE5BD9
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/* 4.342944819032518167E-1 log10(e) */
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dlog10e 2D 3FDBCB7B1526E50E
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/* -.5 -1/2 */
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smhalf 2E BF000000
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dmhalf 2E BFE0000000000000
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/* 1.000000027256422400E+16 10**16 */
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s1e16 2F 5A0E1BCA
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/* 1.000000000000000000E+16 10**16 */
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d1e16 2F 4341C37937E08000
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/* 1.000000033181353514E+32 10**32 */
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s1e32 30 749DC5AE
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/* 1.000000000000000054E+32 10**32 */
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d1e32 30 4693B8B5B5056E17
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/* infinity 10**64 */
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s1e64 31 7f800000
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/* 1.000000000000000021E+64 10**64 */
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d1e64 31 4D384F03E93FF9F5
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/* infinity 10**128 */
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s1e128 32 7f800000
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/* 1.000000000000000075E+128 10**128 */
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d1e128 32 5A827748F9301D32
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/* infinity 10**256 */
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s1e256 33 7f800000
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/* 1.000000000000000030E+256 10**256 */
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d1e256 33 75154FDD7F73BF3C
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/* 4.375000000000000000E-1 7/16 */
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s7o16 34 3ee00000
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/* 6.875000000000000000E-1 11/16 */
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s11o16 35 3f300000
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/* 1.187500000000000000 19/16 */
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s19o16 36 3f980000
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/* 2.437500000000000000 39/16 */
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s39o16 37 401C0000
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/* Constants for transcendentals */
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/* following location saved for checksum */
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c_dchecksum FF 0000000000000000
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/* Holds the correct value of the mode register except in FAST mode (used in e**x) */
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c_dmode_fast F4 0000000355555555
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/* Holds the current value of the mode (bits 0 - 3) register */
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c_dmode F3 FFFFFFF055555555
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/* Holds the correct value of the mode register (for transcendentals) */
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c_dmode_cor F2 0000000255555555
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/* Constants revision no. (0000XYVN00mmddyy, release X.Y, Nth cut of V version) */
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c_dconst_rev F1 000041A100060988
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/* Microcode revision no. */
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c_ducode_rev F0 000041A100110889
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/* Scratch-Pad Area */
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c_dSCRATCH_0 D0 0000000000000000
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c_dSCRATCH_1 D1 0000000000000000
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c_dSCRATCH_2 D2 0000000000000000
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c_dSCRATCH_3 D3 0000000000000000
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c_dSCRATCH_4 D4 0000000000000000
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c_dSCRATCH_5 D5 0000000000000000
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c_dSCRATCH_6 D6 0000000000000000
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c_dSCRATCH_7 D7 0000000000000000
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c_dSCRATCH_8 D8 0000000000000000
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c_dSCRATCH_9 D9 0000000000000000
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c_dSCRATCH_10 DA 0000000000000000
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c_dSCRATCH_11 DB 0000000000000000
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c_dSCRATCH_12 DC 0000000000000000
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c_dSCRATCH_13 DD 0000000000000000
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c_dSCRATCH_14 DE 0000000000000000
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c_dSCRATCH_15 DF 0000000000000000
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c_dSCRATCH_31 EF 0000000000000000
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/* All values below here do not change after download; they are */
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/* checksum'ed */
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c_spi3o4 CE 4016CBE4
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c_dpi3o4 CE 4002D97C7F3321D2
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c_spi5o4 CD 407B53D1
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c_dpi5o4 CD 400F6A7A2955385E
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c_so2pi CC 3E22F983
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c_do2pi CC 3FC45F306DC9C883
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c_spi2p21 CB 4AC90FDB
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c_dpi2p21 CB 415921FB54442D18
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c_spio2b24a C9 3FC90FDB
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c_spio2b24b C8 B33BBD2E
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c_dpio2b33a C9 3FF921FB54400000
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c_dpio2b33b C8 3DD0B4611A600000
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c_spib24a C7 40490FDB
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c_spib24b C6 B3BBBD2E
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c_dpib33a C7 400921FB54400000
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c_dpib33b C6 3DE0B4611A600000
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c_d2pib33a C5 401921FB54400000
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c_d2pib33b C4 3DF0B4611A600000
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c_stwop20 BF 49800000
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c_stwop23 BE 4B000000
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c_stwop26 BD 4D800000
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c_stwopm12 BC 39800000
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c_stwopm13 BB 39000000
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c_stwopm14 BA 38800000
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c_stwopm20 B9 35800000
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c_stwopm21 B8 35000000
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c_stwopm23 B7 34000000
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c_stwopm24 B6 33800000
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c_stwopm25 B5 33000000
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c_stwopm26 B4 32800000
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c_dtwop52 BF 4330000000000000
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c_dtwop54 BE 4350000000000000
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c_dtwopm27 BC 3E40000000000000
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c_dtwopm28 BB 3E30000000000000
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c_dtwopm54 BA 3C90000000000000
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c_dmtwopm54 B9 BC90000000000000
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c_s127 AF 42FE0000
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c_s87 AE 42AE0000
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c_sloge2a AD 3F317200
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c_sloge2b AC 35BFBE8E
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c_dloge2a AD 3FE62E42FEF00000
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c_dloge2b AC 3DD473DE6AF00000
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c_ssqrthalfm1 AB BE95F61A
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c_ssqrt2m1 AA 3ED413CD
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/* Status */
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c_sinexact A9 00000300
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c_szerostat A8 00000000
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c_sexact A7 00000200
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c_smaxmode A6 0000000F
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c_s63 A5 427C0000
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c_s53 A4 42540000
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c_d708 A3 4086200000000000
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c_s1023 A2 447FC000
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c_s3o2 A1 3FC00000
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c_d3o2 A1 3FF8000000000000
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c_s511 A0 43FF8000
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c_sfourth 9F 3E800000
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c_dfourth 9F 3FD0000000000000
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c_sthreshold 9E 38800000
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c_stwo19pi 9D 49C90FDB
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c_scosthresh 9C 3E85B863
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c_stwoopi 9B 3F22F983
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c_dtwopia 9A 401921FB54400000
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c_dtwopib 99 3DF0B4611A600000
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c_dpia 98 400921FB54400000
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c_dpib 97 3DE0B4611A600000
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c_dpio2a 96 3FF921FB54400000
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c_dpio2b 95 3DD0B4611A600000
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c_dmpib 94 BDE0B4611A600000
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c_dmpio2b 93 BDD0B4611A600000
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c_dtwo19pi 92 413921FB54442D18
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c_dcosthresh 91 3FD0B70C6D604DD4
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c_dthreshold 90 3E30000000000000
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c_dtwoopi 8F 3FE45F306DC9C883
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c_smaxln 8E 7EFFFFBF
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c_dmaxln 8E 7FDFFFBFFFFFFFFF
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c_dsqrt2m1 8D 3FDA827999FCEF32
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c_dsqrt8m1 8C 3FFD413CCCFE7799
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c_dsqrteighthm1 8B BFE4AFB0CCC0621A
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c_dloge2afrom1 8A 3FD3A37A02200000
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c_dloge2amhalf 89 3FC8B90BFBC00000
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c_dsqrthalfm1 88 BFD2BEC333018867
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c_dsqrt2p1 87 4003504F333F9DE6
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c_dpio4a 86 3FE921FB54400000
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c_dpio4b 85 3DC0B4611A600000
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c_dtestsolution1 84 BCB0000000000000
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c_dtestsolution2 83 BCC0000000000000
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c_spio4 82 3F490FDB
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c_dpio4 82 3FE921FB54442D18
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c_soberr 81 00000400
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/* constants for s.p. atan */
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c_satan_small 4F 3089705F
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c_satan_big 4E 5368D4A5
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c_satan_hhilo 4D 3EED6338
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c_satan_hhilob 4C 31AC376A
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c_satan_mhhilo 4B BEED6338
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c_satan.mhhilob 4A B1AC376A
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c_satan_lhilo 49 3F7B985F
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c_satan_lhilob 48 B2D7E096
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c_satan_mlhilo 47 BF7B985F
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c_satan_mlhilob 46 32D7E096
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c_satan_00 45 00000000
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c_satan_00b 44 00000000
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c_satan_40 43 3F490FDB
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c_satan_40b 42 B2BBBD2E
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c_satan_m40 41 BF490FDB
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c_satan_m40b 40 32BBBD2E
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c_satan_20 3F 3FC90FDB
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c_satan_20b 3E B33BBD2E
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c_satan_m20 3D BFC90FDB
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c_satan_m20b 3C 333BBD2E
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/* constants for d.p. atan */
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c_sdatan_small 3B 3089705F
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c_sdatan_big 3A 5D5E0B6B
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c_datan_hhilo 4D 3FDDAC670561BB4F
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c_datan_hhilob 4C 3C55543B8F253271
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c_datan_mhhilo 4B BFDDAC670561BB4F
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c_datan_mhhilob 4A BC55543B8F253271
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c_datan_lhilo 49 3FEF730BD281F69B
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c_datan_lhilob 48 BC7C23DFEFEAE6B5
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c_datan_mlhilo 47 BFEF730BD281F69B
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c_datan_mlhilob 46 3C7C23DFEFEAE6B5
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c_datan_00 45 0000000000000000
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c_datan_00b 44 0000000000000000
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c_datan_40 43 3FE921FB54400000
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c_datan_40b 42 3DC0B4611A600000
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c_datan_m40 41 BFE921FB54400000
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c_datan_m40b 40 BDC0B4611A600000
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c_datan_20 3F 3FF921FB54400000
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c_datan_20b 3E 3DD0B4611A600000
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c_datan_m20 3D BFF921FB54400000
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c_datan_m20b 3C BDD0B4611A600000
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/* Coeficients */
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/* Sine */
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c_ssin0 0 BE2AAAA0
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c_ssin1 1 3C088302
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c_ssin2 2 B94C7DC9
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c_dsin0 0 BFC555555555550C
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c_dsin1 1 3F8111111110C461
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c_dsin2 2 BF2A01A019746345
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c_dsin3 3 3EC71DE3209CDCD9
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c_dsin4 4 BE5AE5C0E319A4EF
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c_dsin5 5 3DE5CF61DF672B13
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/* Cosine */
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/* for positive calculations */
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c_scosz2 6 BF000000
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c_scosz1 7 3F800000
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c_scos0 8 3D2AAA9C
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c_scos1 9 BAB60376
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c_scos2 A 37CC73EE
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c_dcosz2 6 BFE0000000000000
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c_dcosz1 7 3FF0000000000000
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c_dcos0 8 3FA555555555553E
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c_dcos1 9 BF56C16C16C14199
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c_dcos2 A 3EFA01A01971CAEB
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c_dcos3 B BE927E4F1314AD1A
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c_dcos4 C 3E21EE3B60DDDC8C
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c_dcos5 D BDA8BD5986B2A52E
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/* for negative calculations */
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c_sncosz2 E 3F000000
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c_sncosz1 F BF800000
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c_sncos0 10 BD2AAA9C
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c_sncos1 11 3AB60376
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c_sncos2 12 B7CC73EE
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c_dncosz2 E 3FE0000000000000
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c_dncosz1 F BFF0000000000000
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c_dncos0 10 BFA555555555553E
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c_dncos1 11 3F56C16C16C14199
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c_dncos2 12 BEFA01A01971CAEB
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c_dncos3 13 3E927E4F1314AD1A
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c_dncos4 14 BE21EE3B60DDDC8C
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c_dncos5 15 3DA8BD5986B2A52E
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/* Tangent */
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/* c_stan0 32 3EAAAAB3 */
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/* c_stan1 33 3E088668 */
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/* c_stan2 34 3D5D79A0 */
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/* c_stan3 35 3CADF9C5 */
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/* c_stan4 36 3C331D70 */
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/* c_stan5 37 B783FE7C */
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/* c_stan6 38 3B90E77B */
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/* tan0 through tan 6 are q(0) - q(3) and p(1) - p(3) */
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/* c_dtanq1 39 C13EA0D0D16BCB12 */
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/* c_dtanq2 3A 412C96E19FD8E8DF */
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/* c_dtanq3 3B C0E927364E1119ED */
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/* c_dtanq4 3C 40838F20A0402411 */
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/* c_dtanp1 3D C1246B35E0F28761 */
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/* c_dtanp2 3E 40E5CBE30A30668F */
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/* c_dtanp3 3F C082704DE7C2735C */
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/* Inverse Tangent */
|
|
/* itn0 through itn 7 are q(0) - q(4) and p(1) - p(3) */
|
|
/* c_ditn0 49 40EB56360FD50554 */
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/* c_ditn1 4A C0D9845DAD0EA7FF */
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/* c_ditn2 4B 4096733AB870A316 */
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/* c_ditn3 4C C031750AC591202D */
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/* c_ditn4 4D 3F9C8FA7E609A1DB */
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/* c_ditn5 4E C0EB56360FD50554 */
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/* c_ditn6 4F 40BD2B9134AD3C71 */
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/* c_ditn7 50 C067F7D4A1BF238C */
|
|
/* Arctangent */
|
|
/* c_satn1 16 BEAAAA9A */
|
|
/* c_satn2 17 3E4CC841 */
|
|
/* c_satn3 18 BE120ACD */
|
|
/* c_satn4 19 3DE017C1 */
|
|
/* c_satn5 1A BDAB9142 */
|
|
/* c_satn6 1B 3D6BBBC1 */
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|
/* c_satn7 1C BCFC59EC */
|
|
/* c_satn8 1D 3C2FC010 */
|
|
/* c_satn9 1E BAE5E421 */
|
|
c_satan_c1 16 3EAAAA9A
|
|
c_satan_c2 17 BE4CC841
|
|
c_satan_c3 18 3E120ACD
|
|
c_satan_c4 19 BDE017C1
|
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c_satan_c5 1A 3DAB9142
|
|
c_satan_c6 1B BD6BBBC1
|
|
c_satan_c7 1C 3CFC59EC
|
|
c_satan_c8 1D BC2FC010
|
|
c_satan_c9 1E 3AE5E421
|
|
/* Arc Tangent */
|
|
/* c_datan1 16 BFD5555555555531 */
|
|
/* c_datan2 17 3FC99999999948f9 */
|
|
/* c_datan3 18 BFC2492492268309 */
|
|
/* c_datan4 19 3FBC71C70D0B85EF */
|
|
/* c_datan5 1A BFB745CF6DC23936 */
|
|
/* c_datan6 1B 3FB3B10FA5A8FD96 */
|
|
/* c_datan7 1C BFB10EA8309B0CE9 */
|
|
/* c_datan8 1D 3FADEFF7AC18EAD0 */
|
|
/* c_datan9 1E BFA9C91CE88DAA9B */
|
|
/* c_datan10 1F 3FA373DCC009851B */
|
|
/* c_datan11 20 BF92435BE5B3C8B0 */
|
|
c_datan_c1 16 3FD55555555555C3
|
|
c_datan_c2 17 BFC9999999997CCD
|
|
c_datan_c3 18 3FC24924921EC1D7
|
|
c_datan_c4 19 BFBC71C7059AF280
|
|
c_datan_c5 1A 3FB745CE5AA35DB2
|
|
c_datan_c6 1B BFB3B0FA54BEC400
|
|
c_datan_c7 1C 3FB10DA924597FFF
|
|
c_datan_c8 1D BFADE125FDDBD793
|
|
c_datan_c9 1E 3FA9860524BDD807
|
|
c_datan_c10 1F BFA2CA6C04C6937A
|
|
c_datan_c11 20 3F90D52174A1BB54
|
|
/* Exponential */
|
|
c_sexps1 21 C2705E31
|
|
c_sexps2 22 41203EBB
|
|
c_sexpt1 23 C2F05E31
|
|
c_sexpt2 24 42705E31
|
|
c_sexpt3 25 C1403EBB
|
|
/* Exponential */
|
|
c_dexps1 21 C0CD8DAA5E475F3C
|
|
c_dexps2 22 40A3B3C6E984E9BF
|
|
c_dexps3 23 C07A4450E84585FE
|
|
c_dexps4 24 403C0373AC7AAEBB
|
|
c_dexpt1 25 C0DD8DAA5E475F3C
|
|
c_dexpt2 26 40CD8DAA5E475F3C
|
|
c_dexpt3 27 C0AA44DB23964B3E
|
|
c_dexpt4 28 407A4450E84585FE
|
|
c_dexpt5 29 C03E0373AC7AAEBB
|
|
/* Logarithm */
|
|
c_slogs1 2A 3F2AAADA
|
|
c_slogs2 2B 3ECC9FF7
|
|
c_slogs3 2C 3E9A1D1A
|
|
/* Logarithm */
|
|
c_dlogs1 2A 3fe5555555555592
|
|
c_dlogs2 2B 3fd999999997ff24
|
|
c_dlogs3 2C 3fd24924941e07b4
|
|
c_dlogs4 2D 3fcc71c52150bea6
|
|
c_dlogs5 2E 3fc74663cc94342f
|
|
c_dlogs6 2F 3fc39a1ec014045b
|
|
c_dlogs7 30 3fc2f039f0085122
|
|
/* Square Root */
|
|
/* c_ssqrts1 59 4082CF42 */
|
|
/* c_ssqrts4 5A 3F37AAB2 */
|
|
/* c_ssqrts2 5B C0CAA824 */
|
|
/* c_ssqrts5 5C BFC97191 */
|
|
/* c_ssqrts3 5D 4193C0B9 */
|
|
/* c_ssqrtr1 5E 3F38FE23 */
|
|
/* c_ssqrtr4 5F 4037AAB2 */
|
|
/* c_ssqrtr2 60 BF0F4CCD */
|
|
/* c_ssqrtr5 61 C0497191 */
|
|
/* c_ssqrtr3 62 3F50F43C */
|
|
/* Test Data Area */
|
|
c_dtest 50 4000000000000000
|
|
c_dtest1 51 BFFFFFFFFFFFFFFF
|
|
c_dtest2 52 BFFFFFFFFFFFFFFF
|
|
c_dtest3 53 4000000000000000
|
|
c_dtest4 54 BFFFFFFFFFFFFFFF
|
|
c_dtest5 55 4000000000000000
|
|
c_dtest6 56 4000000000000000
|
|
c_dtest7 57 BFFFFFFFFFFFFFFF
|
|
c_dtest8 58 BFFFFFFFFFFFFFFF
|
|
c_dtest9 59 4000000000000000
|
|
c_dtesta 5A 4000000000000000
|
|
c_dtestb 5B BFFFFFFFFFFFFFFF
|
|
c_dtestc 5C 4000000000000000
|
|
c_dtestd 5D BFFFFFFFFFFFFFFF
|
|
c_dteste 5E BFFFFFFFFFFFFFFF
|
|
c_dtestf 5F 4000000000000000
|
|
c_dtest10 60 BFFFFFFFFFFFFFFF
|
|
c_dtest11 61 4000000000000000
|
|
c_dtest12 62 4000000000000000
|
|
c_dtest13 63 BFFFFFFFFFFFFFFF
|
|
c_dtest14 64 4000000000000000
|
|
c_dtest15 65 BFFFFFFFFFFFFFFF
|
|
c_dtest16 66 BFFFFFFFFFFFFFFF
|
|
c_dtest17 67 4000000000000000
|
|
c_dtest18 68 4000000000000000
|
|
c_dtest19 69 BFFFFFFFFFFFFFFF
|
|
c_dtest1a 6A BFFFFFFFFFFFFFFF
|
|
c_dtest1b 6B 4000000000000000
|
|
c_dtest1c 6C BFFFFFFFFFFFFFFF
|
|
c_dtest1d 6D 4000000000000000
|
|
c_dtest1e 6E 4000000000000000
|
|
c_dtest1f 6F BFFFFFFFFFFFFFFF
|