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1.1 ! root 1: # ! 2: # Copyright (c) 1980 Regents of the University of California. ! 3: # All rights reserved. The Berkeley software License Agreement ! 4: # specifies the terms and conditions for redistribution. ! 5: # ! 6: # @(#)atan.s 5.1 (Berkeley) 5/8/85 ! 7: # ! 8: # ! 9: # double atan(arg1); -pi/2 < atan < pi/2 ! 10: #double atan2(arg1,arg2); -pi< atan2<pi ! 11: #double arg1,arg2 ! 12: #method: range reduction to [sqrt(2)-1,sqrt(2)+1] ! 13: # followed by Hart&Cheney ARCTN 5076 D=17.55 ! 14: # J. F. Jarvis August 8, 1978 ! 15: .globl _atan ! 16: .globl _atan2 ! 17: .text ! 18: .align 1 ! 19: _atan: ! 20: .word 0x03c0 ! 21: bispsw $0xe0 ! 22: movd 4(ap),r0 ! 23: jgtr a1 ! 24: mnegd r0,r0 # atan(arg1), arg1<0 ! 25: bsbb satan ! 26: mnegd r0,r0 ! 27: ret ! 28: a1: bsbb satan # atan(arg1), arg1>=0 ! 29: ret ! 30: # ! 31: .align 1 ! 32: _atan2: ! 33: .word 0x03c0 ! 34: bispsw $0xe0 ! 35: movd 4(ap),r0 # atan(arg1/arg2) ! 36: movd 12(ap),r2 ! 37: addd3 r0,r2,r4 ! 38: cmpd r0,r4 ! 39: jneq b1 ! 40: tstd r0 ! 41: jgeq b2 ! 42: mnegd pio2,r0 ! 43: ret ! 44: b2: movd pio2,r0 ! 45: ret ! 46: # ! 47: b1: tstd r2 ! 48: jgeq b3 ! 49: divd2 r2,r0 ! 50: jleq b4 ! 51: bsbb satan # arg1<0, arg2<0 ! 52: subd2 pi,r0 ! 53: ret ! 54: b4: mnegd r0,r0 # arg1>0, arg2<0 ! 55: bsbb satan ! 56: subd3 r0,pi,r0 ! 57: ret ! 58: # ! 59: b3: divd2 r2,r0 ! 60: jleq b5 ! 61: bsbb satan # arg1>0, arg2>0 ! 62: ret ! 63: b5: mnegd r0,r0 # arg1<0, arg2>0 ! 64: bsbb satan ! 65: mnegd r0,r0 ! 66: ret ! 67: # ! 68: .globl satan ! 69: satan: # range reduction on positive arg(r0) ! 70: cmpd r0,sq2m1 ! 71: jgeq c1 ! 72: bsbb xatan ! 73: rsb ! 74: c1: cmpd r0,sq2p1 ! 75: jleq c2 ! 76: divd3 r0,$0d1.0e+0,r0 ! 77: bsbb xatan ! 78: subd3 r0,pio2,r0 ! 79: rsb ! 80: c2: addd3 $0d1.0e+0,r0,r2 ! 81: subd2 $0d1.0e+0,r0 ! 82: divd2 r2,r0 ! 83: bsbb xatan ! 84: addd2 pio4,r0 ! 85: rsb ! 86: # ! 87: xatan: # compute arctan(r0) for:sqrt(2)-1<r0<sqrt(2)+1 ! 88: # Hart&Cheney ARCTN 5076 is evaluated ! 89: movd r0,r8 ! 90: muld3 r0,r0,r6 ! 91: polyd r6,$4,pcoef ! 92: muld2 r0,r8 ! 93: polyd r6,$4,qcoef ! 94: divd3 r0,r8,r0 ! 95: rsb ! 96: .data ! 97: .align 2 ! 98: pcoef: ! 99: .double 0d0.1589740288482307048e+0 ! 100: .double 0d0.66605790170092626575e+1 ! 101: .double 0d0.40969264832102256374e+2 ! 102: .double 0d0.77477687719204208616e+2 ! 103: .double 0d0.44541340059290680319e+2 ! 104: qcoef: ! 105: .double 0d1.0e+0 ! 106: .double 0d0.15503977551421987525e+2 ! 107: .double 0d0.62835930511032376833e+2 ! 108: .double 0d0.92324801072300974840e+2 ! 109: .double 0d0.44541340059290680444e+2 ! 110: pio4: .double 0d0.78539816339744830961e+0 ! 111: pio2: .double 0d1.57079632679489661923e+0 ! 112: sq2p1: .double 0d2.41421356237309504880e+0 ! 113: sq2m1: .double 0d0.41421356237309504880e+0 ! 114: pi: .double 0d3.14159265358979323846e+0
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