head 1.2; access; symbols micropython-1-5-2-base:1.1.1.1 MICROPYTHON:1.1.1; locks; strict; comment @ * @; 1.2 date 2026.10.15.05.28.30; author agc; state dead; branches; next 1.1; commitid aHLdC1EGCUYk7xZG; 1.1 date 2016.01.14.01.38.49; author agc; state Exp; branches 1.1.1.1; next ; commitid Q8liT0v6zMF95QQy; 1.1.1.1 date 2016.01.14.01.38.49; author agc; state Exp; branches; next ; commitid Q8liT0v6zMF95QQy; desc @@ 1.2 log @Remove waaaay old micropython sources which haven't been relevant for 10 years @ text @/* * This file is part of the Micro Python project, http://micropython.org/ * * The MIT License (MIT) * * Copyright (c) 2013, 2014 Damien P. George * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. */ #include "libm.h" typedef float float_t; typedef union { float f; struct { uint64_t m : 23; uint64_t e : 8; uint64_t s : 1; }; } float_s_t; typedef union { double d; struct { uint64_t m : 52; uint64_t e : 11; uint64_t s : 1; }; } double_s_t; #if defined(__thumb__) double __attribute__((pcs("aapcs"))) __aeabi_i2d(int32_t x) { return (float)x; } // TODO long long __attribute__((pcs("aapcs"))) __aeabi_f2lz(float x) { return (long)x; } double __attribute__((pcs("aapcs"))) __aeabi_f2d(float x) { float_s_t fx={0}; double_s_t dx={0}; fx.f = x; dx.s = (fx.s); dx.e = (fx.e-127+1023) & 0x7FF; dx.m = fx.m; dx.m <<=(52-23); // left justify return dx.d; } float __attribute__((pcs("aapcs"))) __aeabi_d2f(double x) { float_s_t fx={0}; double_s_t dx={0}; dx.d = x; fx.s = (dx.s); fx.e = (dx.e-1023+127) & 0xFF; fx.m = (dx.m>>(52-23)); // right justify return fx.f; } double __aeabi_dmul(double x , double y) { return 0.0; } #endif // defined(__thumb__) // TODO this needs a better way of testing for Thumb2 FP hardware #if defined(__thumb2__) float sqrtf(float x) { asm volatile ( "vsqrt.f32 %[r], %[x]\n" : [r] "=t" (x) : [x] "t" (x)); return x; } #endif #ifndef NDEBUG float copysignf(float x, float y) { float_s_t fx={.f = x}; float_s_t fy={.f = y}; // copy sign bit; fx.s = fy.s; return fx.f; } #endif // some compilers define log2f in terms of logf #ifdef log2f #undef log2f #endif // some compilers have _M_LN2 defined in math.h, some don't #ifndef _M_LN2 #define _M_LN2 (0.69314718055994530942) #endif float log2f(float x) { return logf(x) / (float)_M_LN2; } static const float _M_LN10 = 2.30258509299404; // 0x40135d8e float log10f(float x) { return logf(x) / (float)_M_LN10; } float tanhf(float x) { return sinhf(x) / coshf(x); } /*****************************************************************************/ /*****************************************************************************/ // __fpclassifyf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ int __fpclassifyf(float x) { union {float f; uint32_t i;} u = {x}; int e = u.i>>23 & 0xff; if (!e) return u.i<<1 ? FP_SUBNORMAL : FP_ZERO; if (e==0xff) return u.i<<9 ? FP_NAN : FP_INFINITE; return FP_NORMAL; } /*****************************************************************************/ /*****************************************************************************/ // scalbnf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ float scalbnf(float x, int n) { union {float f; uint32_t i;} u; float_t y = x; if (n > 127) { y *= 0x1p127f; n -= 127; if (n > 127) { y *= 0x1p127f; n -= 127; if (n > 127) n = 127; } } else if (n < -126) { y *= 0x1p-126f; n += 126; if (n < -126) { y *= 0x1p-126f; n += 126; if (n < -126) n = -126; } } u.i = (uint32_t)(0x7f+n)<<23; x = y * u.f; return x; } /*****************************************************************************/ /*****************************************************************************/ // powf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ /* origin: FreeBSD /usr/src/lib/msun/src/e_powf.c */ /* * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@@cygnus.com. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ static const float bp[] = {1.0, 1.5,}, dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */ dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */ two24 = 16777216.0, /* 0x4b800000 */ huge = 1.0e30, tiny = 1.0e-30, /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ L1 = 6.0000002384e-01, /* 0x3f19999a */ L2 = 4.2857143283e-01, /* 0x3edb6db7 */ L3 = 3.3333334327e-01, /* 0x3eaaaaab */ L4 = 2.7272811532e-01, /* 0x3e8ba305 */ L5 = 2.3066075146e-01, /* 0x3e6c3255 */ L6 = 2.0697501302e-01, /* 0x3e53f142 */ P1 = 1.6666667163e-01, /* 0x3e2aaaab */ P2 = -2.7777778450e-03, /* 0xbb360b61 */ P3 = 6.6137559770e-05, /* 0x388ab355 */ P4 = -1.6533901999e-06, /* 0xb5ddea0e */ P5 = 4.1381369442e-08, /* 0x3331bb4c */ lg2 = 6.9314718246e-01, /* 0x3f317218 */ lg2_h = 6.93145752e-01, /* 0x3f317200 */ lg2_l = 1.42860654e-06, /* 0x35bfbe8c */ ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */ cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */ cp_h = 9.6191406250e-01, /* 0x3f764000 =12b cp */ cp_l = -1.1736857402e-04, /* 0xb8f623c6 =tail of cp_h */ ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */ ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ float powf(float x, float y) { float z,ax,z_h,z_l,p_h,p_l; float y1,t1,t2,r,s,sn,t,u,v,w; int32_t i,j,k,yisint,n; int32_t hx,hy,ix,iy,is; GET_FLOAT_WORD(hx, x); GET_FLOAT_WORD(hy, y); ix = hx & 0x7fffffff; iy = hy & 0x7fffffff; /* x**0 = 1, even if x is NaN */ if (iy == 0) return 1.0f; /* 1**y = 1, even if y is NaN */ if (hx == 0x3f800000) return 1.0f; /* NaN if either arg is NaN */ if (ix > 0x7f800000 || iy > 0x7f800000) return x + y; /* determine if y is an odd int when x < 0 * yisint = 0 ... y is not an integer * yisint = 1 ... y is an odd int * yisint = 2 ... y is an even int */ yisint = 0; if (hx < 0) { if (iy >= 0x4b800000) yisint = 2; /* even integer y */ else if (iy >= 0x3f800000) { k = (iy>>23) - 0x7f; /* exponent */ j = iy>>(23-k); if ((j<<(23-k)) == iy) yisint = 2 - (j & 1); } } /* special value of y */ if (iy == 0x7f800000) { /* y is +-inf */ if (ix == 0x3f800000) /* (-1)**+-inf is 1 */ return 1.0f; else if (ix > 0x3f800000) /* (|x|>1)**+-inf = inf,0 */ return hy >= 0 ? y : 0.0f; else if (ix != 0) /* (|x|<1)**+-inf = 0,inf if x!=0 */ return hy >= 0 ? 0.0f: -y; } if (iy == 0x3f800000) /* y is +-1 */ return hy >= 0 ? x : 1.0f/x; if (hy == 0x40000000) /* y is 2 */ return x*x; if (hy == 0x3f000000) { /* y is 0.5 */ if (hx >= 0) /* x >= +0 */ return sqrtf(x); } ax = fabsf(x); /* special value of x */ if (ix == 0x7f800000 || ix == 0 || ix == 0x3f800000) { /* x is +-0,+-inf,+-1 */ z = ax; if (hy < 0) /* z = (1/|x|) */ z = 1.0f/z; if (hx < 0) { if (((ix-0x3f800000)|yisint) == 0) { z = (z-z)/(z-z); /* (-1)**non-int is NaN */ } else if (yisint == 1) z = -z; /* (x<0)**odd = -(|x|**odd) */ } return z; } sn = 1.0f; /* sign of result */ if (hx < 0) { if (yisint == 0) /* (x<0)**(non-int) is NaN */ return (x-x)/(x-x); if (yisint == 1) /* (x<0)**(odd int) */ sn = -1.0f; } /* |y| is huge */ if (iy > 0x4d000000) { /* if |y| > 2**27 */ /* over/underflow if x is not close to one */ if (ix < 0x3f7ffff8) return hy < 0 ? sn*huge*huge : sn*tiny*tiny; if (ix > 0x3f800007) return hy > 0 ? sn*huge*huge : sn*tiny*tiny; /* now |1-x| is tiny <= 2**-20, suffice to compute log(x) by x-x^2/2+x^3/3-x^4/4 */ t = ax - 1; /* t has 20 trailing zeros */ w = (t*t)*(0.5f - t*(0.333333333333f - t*0.25f)); u = ivln2_h*t; /* ivln2_h has 16 sig. bits */ v = t*ivln2_l - w*ivln2; t1 = u + v; GET_FLOAT_WORD(is, t1); SET_FLOAT_WORD(t1, is & 0xfffff000); t2 = v - (t1-u); } else { float s2,s_h,s_l,t_h,t_l; n = 0; /* take care subnormal number */ if (ix < 0x00800000) { ax *= two24; n -= 24; GET_FLOAT_WORD(ix, ax); } n += ((ix)>>23) - 0x7f; j = ix & 0x007fffff; /* determine interval */ ix = j | 0x3f800000; /* normalize ix */ if (j <= 0x1cc471) /* |x|>1) & 0xfffff000) | 0x20000000; SET_FLOAT_WORD(t_h, is + 0x00400000 + (k<<21)); t_l = ax - (t_h - bp[k]); s_l = v*((u - s_h*t_h) - s_h*t_l); /* compute log(ax) */ s2 = s*s; r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6))))); r += s_l*(s_h+s); s2 = s_h*s_h; t_h = 3.0f + s2 + r; GET_FLOAT_WORD(is, t_h); SET_FLOAT_WORD(t_h, is & 0xfffff000); t_l = r - ((t_h - 3.0f) - s2); /* u+v = s*(1+...) */ u = s_h*t_h; v = s_l*t_h + t_l*s; /* 2/(3log2)*(s+...) */ p_h = u + v; GET_FLOAT_WORD(is, p_h); SET_FLOAT_WORD(p_h, is & 0xfffff000); p_l = v - (p_h - u); z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ z_l = cp_l*p_h + p_l*cp+dp_l[k]; /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ t = (float)n; t1 = (((z_h + z_l) + dp_h[k]) + t); GET_FLOAT_WORD(is, t1); SET_FLOAT_WORD(t1, is & 0xfffff000); t2 = z_l - (((t1 - t) - dp_h[k]) - z_h); } /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ GET_FLOAT_WORD(is, y); SET_FLOAT_WORD(y1, is & 0xfffff000); p_l = (y-y1)*t1 + y*t2; p_h = y1*t1; z = p_l + p_h; GET_FLOAT_WORD(j, z); if (j > 0x43000000) /* if z > 128 */ return sn*huge*huge; /* overflow */ else if (j == 0x43000000) { /* if z == 128 */ if (p_l + ovt > z - p_h) return sn*huge*huge; /* overflow */ } else if ((j&0x7fffffff) > 0x43160000) /* z < -150 */ // FIXME: check should be (uint32_t)j > 0xc3160000 return sn*tiny*tiny; /* underflow */ else if (j == 0xc3160000) { /* z == -150 */ if (p_l <= z-p_h) return sn*tiny*tiny; /* underflow */ } /* * compute 2**(p_h+p_l) */ i = j & 0x7fffffff; k = (i>>23) - 0x7f; n = 0; if (i > 0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */ n = j + (0x00800000>>(k+1)); k = ((n&0x7fffffff)>>23) - 0x7f; /* new k for n */ SET_FLOAT_WORD(t, n & ~(0x007fffff>>k)); n = ((n&0x007fffff)|0x00800000)>>(23-k); if (j < 0) n = -n; p_h -= t; } t = p_l + p_h; GET_FLOAT_WORD(is, t); SET_FLOAT_WORD(t, is & 0xffff8000); u = t*lg2_h; v = (p_l-(t-p_h))*lg2 + t*lg2_l; z = u + v; w = v - (z - u); t = z*z; t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); r = (z*t1)/(t1-2.0f) - (w+z*w); z = 1.0f - (r - z); GET_FLOAT_WORD(j, z); j += n<<23; if ((j>>23) <= 0) /* subnormal output */ z = scalbnf(z, n); else SET_FLOAT_WORD(z, j); return sn*z; } /*****************************************************************************/ /*****************************************************************************/ // expf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ /* origin: FreeBSD /usr/src/lib/msun/src/e_expf.c */ /* * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@@cygnus.com. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ static const float half[2] = {0.5,-0.5}, ln2hi = 6.9314575195e-1f, /* 0x3f317200 */ ln2lo = 1.4286067653e-6f, /* 0x35bfbe8e */ invln2 = 1.4426950216e+0f, /* 0x3fb8aa3b */ /* * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]: * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74 */ expf_P1 = 1.6666625440e-1f, /* 0xaaaa8f.0p-26 */ expf_P2 = -2.7667332906e-3f; /* -0xb55215.0p-32 */ float expf(float x) { float_t hi, lo, c, xx, y; int k, sign; uint32_t hx; GET_FLOAT_WORD(hx, x); sign = hx >> 31; /* sign bit of x */ hx &= 0x7fffffff; /* high word of |x| */ /* special cases */ if (hx >= 0x42aeac50) { /* if |x| >= -87.33655f or NaN */ if (hx >= 0x42b17218 && !sign) { /* x >= 88.722839f */ /* overflow */ x *= 0x1p127f; return x; } if (sign) { /* underflow */ FORCE_EVAL(-0x1p-149f/x); if (hx >= 0x42cff1b5) /* x <= -103.972084f */ return 0; } } /* argument reduction */ if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ if (hx > 0x3f851592) /* if |x| > 1.5 ln2 */ k = invln2*x + half[sign]; else k = 1 - sign - sign; hi = x - k*ln2hi; /* k*ln2hi is exact here */ lo = k*ln2lo; x = hi - lo; } else if (hx > 0x39000000) { /* |x| > 2**-14 */ k = 0; hi = x; lo = 0; } else { /* raise inexact */ FORCE_EVAL(0x1p127f + x); return 1 + x; } /* x is now in primary range */ xx = x*x; c = x - xx*(expf_P1+xx*expf_P2); y = 1 + (x*c/(2-c) - lo + hi); if (k == 0) return y; return scalbnf(y, k); } /*****************************************************************************/ /*****************************************************************************/ // expm1f from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ /* origin: FreeBSD /usr/src/lib/msun/src/s_expm1f.c */ /* * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@@cygnus.com. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ static const float o_threshold = 8.8721679688e+01, /* 0x42b17180 */ ln2_hi = 6.9313812256e-01, /* 0x3f317180 */ ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */ //invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */ /* * Domain [-0.34568, 0.34568], range ~[-6.694e-10, 6.696e-10]: * |6 / x * (1 + 2 * (1 / (exp(x) - 1) - 1 / x)) - q(x)| < 2**-30.04 * Scaled coefficients: Qn_here = 2**n * Qn_for_q (see s_expm1.c): */ Q1 = -3.3333212137e-2, /* -0x888868.0p-28 */ Q2 = 1.5807170421e-3; /* 0xcf3010.0p-33 */ float expm1f(float x) { float_t y,hi,lo,c,t,e,hxs,hfx,r1,twopk; union {float f; uint32_t i;} u = {x}; uint32_t hx = u.i & 0x7fffffff; int k, sign = u.i >> 31; /* filter out huge and non-finite argument */ if (hx >= 0x4195b844) { /* if |x|>=27*ln2 */ if (hx > 0x7f800000) /* NaN */ return x; if (sign) return -1; if (x > o_threshold) { x *= 0x1p127f; return x; } } /* argument reduction */ if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ if (hx < 0x3F851592) { /* and |x| < 1.5 ln2 */ if (!sign) { hi = x - ln2_hi; lo = ln2_lo; k = 1; } else { hi = x + ln2_hi; lo = -ln2_lo; k = -1; } } else { k = invln2*x + (sign ? -0.5f : 0.5f); t = k; hi = x - t*ln2_hi; /* t*ln2_hi is exact here */ lo = t*ln2_lo; } x = hi-lo; c = (hi-x)-lo; } else if (hx < 0x33000000) { /* when |x|<2**-25, return x */ if (hx < 0x00800000) FORCE_EVAL(x*x); return x; } else k = 0; /* x is now in primary range */ hfx = 0.5f*x; hxs = x*hfx; r1 = 1.0f+hxs*(Q1+hxs*Q2); t = 3.0f - r1*hfx; e = hxs*((r1-t)/(6.0f - x*t)); if (k == 0) /* c is 0 */ return x - (x*e-hxs); e = x*(e-c) - c; e -= hxs; /* exp(x) ~ 2^k (x_reduced - e + 1) */ if (k == -1) return 0.5f*(x-e) - 0.5f; if (k == 1) { if (x < -0.25f) return -2.0f*(e-(x+0.5f)); return 1.0f + 2.0f*(x-e); } u.i = (0x7f+k)<<23; /* 2^k */ twopk = u.f; if (k < 0 || k > 56) { /* suffice to return exp(x)-1 */ y = x - e + 1.0f; if (k == 128) y = y*2.0f*0x1p127f; else y = y*twopk; return y - 1.0f; } u.i = (0x7f-k)<<23; /* 2^-k */ if (k < 23) y = (x-e+(1-u.f))*twopk; else y = (x-(e+u.f)+1)*twopk; return y; } /*****************************************************************************/ /*****************************************************************************/ // __expo2f from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ /* k is such that k*ln2 has minimal relative error and x - kln2 > log(FLT_MIN) */ static const int k = 235; static const float kln2 = 0x1.45c778p+7f; /* expf(x)/2 for x >= log(FLT_MAX), slightly better than 0.5f*expf(x/2)*expf(x/2) */ float __expo2f(float x) { float scale; /* note that k is odd and scale*scale overflows */ SET_FLOAT_WORD(scale, (uint32_t)(0x7f + k/2) << 23); /* exp(x - k ln2) * 2**(k-1) */ return expf(x - kln2) * scale * scale; } /*****************************************************************************/ /*****************************************************************************/ // logf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ /* origin: FreeBSD /usr/src/lib/msun/src/e_logf.c */ /* * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@@cygnus.com. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ static const float /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */ Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */ Lg2 = 0xccce13.0p-25, /* 0.40000972152 */ Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */ Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */ float logf(float x) { union {float f; uint32_t i;} u = {x}; float_t hfsq,f,s,z,R,w,t1,t2,dk; uint32_t ix; int k; ix = u.i; k = 0; if (ix < 0x00800000 || ix>>31) { /* x < 2**-126 */ if (ix<<1 == 0) return -1/(x*x); /* log(+-0)=-inf */ if (ix>>31) return (x-x)/0.0f; /* log(-#) = NaN */ /* subnormal number, scale up x */ k -= 25; x *= 0x1p25f; u.f = x; ix = u.i; } else if (ix >= 0x7f800000) { return x; } else if (ix == 0x3f800000) return 0; /* reduce x into [sqrt(2)/2, sqrt(2)] */ ix += 0x3f800000 - 0x3f3504f3; k += (int)(ix>>23) - 0x7f; ix = (ix&0x007fffff) + 0x3f3504f3; u.i = ix; x = u.f; f = x - 1.0f; s = f/(2.0f + f); z = s*s; w = z*z; t1= w*(Lg2+w*Lg4); t2= z*(Lg1+w*Lg3); R = t2 + t1; hfsq = 0.5f*f*f; dk = k; return s*(hfsq+R) + dk*ln2_lo - hfsq + f + dk*ln2_hi; } /*****************************************************************************/ /*****************************************************************************/ // coshf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ float coshf(float x) { union {float f; uint32_t i;} u = {.f = x}; uint32_t w; float t; /* |x| */ u.i &= 0x7fffffff; x = u.f; w = u.i; /* |x| < log(2) */ if (w < 0x3f317217) { if (w < 0x3f800000 - (12<<23)) { FORCE_EVAL(x + 0x1p120f); return 1; } t = expm1f(x); return 1 + t*t/(2*(1+t)); } /* |x| < log(FLT_MAX) */ if (w < 0x42b17217) { t = expf(x); return 0.5f*(t + 1/t); } /* |x| > log(FLT_MAX) or nan */ t = __expo2f(x); return t; } /*****************************************************************************/ /*****************************************************************************/ // sinhf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ float sinhf(float x) { union {float f; uint32_t i;} u = {.f = x}; uint32_t w; float t, h, absx; h = 0.5; if (u.i >> 31) h = -h; /* |x| */ u.i &= 0x7fffffff; absx = u.f; w = u.i; /* |x| < log(FLT_MAX) */ if (w < 0x42b17217) { t = expm1f(absx); if (w < 0x3f800000) { if (w < 0x3f800000 - (12<<23)) return x; return h*(2*t - t*t/(t+1)); } return h*(t + t/(t+1)); } /* |x| > logf(FLT_MAX) or nan */ t = 2*h*__expo2f(absx); return t; } /*****************************************************************************/ /*****************************************************************************/ // ceilf, floorf and truncf from musl-0.9.15 /*****************************************************************************/ /*****************************************************************************/ float ceilf(float x) { union {float f; uint32_t i;} u = {x}; int e = (int)(u.i >> 23 & 0xff) - 0x7f; uint32_t m; if (e >= 23) return x; if (e >= 0) { m = 0x007fffff >> e; if ((u.i & m) == 0) return x; FORCE_EVAL(x + 0x1p120f); if (u.i >> 31 == 0) u.i += m; u.i &= ~m; } else { FORCE_EVAL(x + 0x1p120f); if (u.i >> 31) u.f = -0.0; else if (u.i << 1) u.f = 1.0; } return u.f; } float floorf(float x) { union {float f; uint32_t i;} u = {x}; int e = (int)(u.i >> 23 & 0xff) - 0x7f; uint32_t m; if (e >= 23) return x; if (e >= 0) { m = 0x007fffff >> e; if ((u.i & m) == 0) return x; FORCE_EVAL(x + 0x1p120f); if (u.i >> 31) u.i += m; u.i &= ~m; } else { FORCE_EVAL(x + 0x1p120f); if (u.i >> 31 == 0) u.i = 0; else if (u.i << 1) u.f = -1.0; } return u.f; } float truncf(float x) { union {float f; uint32_t i;} u = {x}; int e = (int)(u.i >> 23 & 0xff) - 0x7f + 9; uint32_t m; if (e >= 23 + 9) return x; if (e < 9) e = 1; m = -1U >> e; if ((u.i & m) == 0) return x; FORCE_EVAL(x + 0x1p120f); u.i &= ~m; return u.f; } @ 1.1 log @Initial revision @ text @@ 1.1.1.1 log @Import micropython version 1.5.2 into othersrc. Micropython is a python3 implementation that has been optimised for micro-controllers and small embedded systems. It also has a "unix" port. It has an MIT license. This is version 1.5.2 of micropython. MicroPython implements the entire Python 3.4 syntax (including exceptions, "with", "yield from", etc.). The following core datatypes are provided: str (including basic Unicode support), bytes, bytearray, tuple, list, dict, set, frozenset, array.array, collections.namedtuple, classes and instances. Builtin modules include sys, time, and struct. Note that only subset of Python 3.4 functionality implemented for the data types and modules. This is the standard micropython source (version v1.5.2), which has been adapted to use reachover infrastructure. At the present time, libffi (from pkgsrc) is used. Alternative locations for libffi can be set using the PKGSRC_PREFIX definition to make. In the whole scheme of things, micropython is quite small: % size bin/micropython text data bss dec hex filename 393495 1624 2208 397327 6100f bin/micropython % and runs much as expected: % bin/micropython MicroPython v1.5.2 on 2016-01-13; linux version Use Ctrl-D to exit, Ctrl-E for paste mode >>> print("hello world") hello world >>> list(5 * x + y for x in range(10) for y in [4, 2, 1]) [4, 2, 1, 9, 7, 6, 14, 12, 11, 19, 17, 16, 24, 22, 21, 29, 27, 26, 34, 32, 31, 39, 37, 36, 44, 42, 41, 49, 47, 46] >>> % python2.7 Python 2.7.10 (default, Oct 17 2015, 17:55:29) [GCC 4.8.5] on netbsd7 Type "help", "copyright", "credits" or "license" for more information. >>> print("hello world") hello world >>> list(5 * x + y for x in range(10) for y in [4, 2, 1]) [4, 2, 1, 9, 7, 6, 14, 12, 11, 19, 17, 16, 24, 22, 21, 29, 27, 26, 34, 32, 31, 39, 37, 36, 44, 42, 41, 49, 47, 46] >>> ^D % This (reachover) version runs all the tests which the gmake version does. % make t cd bin && make t cd /home/agc/local/micropython/bin/../dist/unix/../tests && env MICROPY_MICROPYTHON=/home/agc/local/micropython/bin/micropython ./run-tests pass basics/0prelim.py pass basics/andor.py pass basics/array1.py pass basics/array_add.py pass basics/array_construct.py pass basics/array_construct2.py ... pass unix/ffi_callback.py pass unix/ffi_float.py pass unix/ffi_float2.py 474 tests performed (15812 individual testcases) 474 tests passed 5 tests skipped: cmd_showbc cmd_verbose machine1 machine_mem extra_coverage % The sources are available from github: https://github.com/micropython/micropython micropython release at: https://github.com/micropython/micropython/releases Sources for 1.5.2 taken from: https://github.com/micropython/micropython/archive/v1.5.2.tar.gz Alistair Crooks agc@@netbsd.org Wed Jan 13 17:15:30 PST 2016 @ text @@