#include #include #include "dat.h" #include "fns.h" /* BUGS: Not bit accurate. */ enum { ADD, SUB, MUL, DIV, CMP, }; enum { EBIAS = 129 }; #define zero(x) (((x) & 0xff80) == 0) #define inval(x) (((x) & 0xff80) == 0x8000) #define expo(x) ((x) >> 7 & 0xff) #define mantf(x) (1<<23 | ((x) & 0x7f) << 16 | (x) >> 16) #define mantd(x) (1ULL<<55|((x)&0x7f)<<48|((x)&0xffff0000)<<16| \ (x)>>16&0xffff0000|(u16int)((x)>>48)) #define sign(x) ((int)x << 16 >> 30 | 1) #define makef(s, e, m) ((s)&0x8000|(e)<<7|(m)<<16|(m)>>16&0x7f) #define maked(s, e, m) (s&0x8000|(e)<<7|(uvlong)(m)<<48|(uvlong)((m)&0xffff0000)<<16| \ (m)>>16&0xffff0000|(m)>>48&0x7f) static double vfc(u32int a) { union { u32int a; float b; } u; if(zero(a)) return 0; a -= 0x100; u.a = a >> 16 | a << 16; return u.b; } static double vdc(u64int a) { union { u64int a; double b; } u; if(zero(a)) return 0; u.a = mantd(a) >> 3 & (1ULL<<52)-1 | expo(a) + 894 << 52 | sign(a) & 1ULL<<63; return u.b; } static int clz32(u32int a) { int n; static uchar c[16] = {4, 3, 2, 2, 1, 1, 1, 1}; n = 0; if((a >> 16) == 0){n += 16; a <<= 16;} if((a >> 24) == 0){n += 8; a <<= 8;} if((a >> 28) == 0){n += 4; a <<= 4;} return n + c[a >> 28]; } static int clz64(uvlong a) { int n; static uchar c[16] = {4, 3, 2, 2, 1, 1, 1, 1}; n = 0; if((a >> 32) == 0){n += 32; a <<= 32;} if((a >> 48) == 0){n += 16; a <<= 16;} if((a >> 56) == 0){n += 8; a <<= 8;} if((a >> 60) == 0){n += 4; a <<= 4;} return n + c[a >> 60]; } static int magcmpd(u64int a, u64int b) { int e; s64int m; e = expo(a) - expo(b); if(e > 0) return 1; if(e < 0) return -1; m = mantd(a) - mantd(b); if(m > 0) return 1; if(m < 0) return -1; return 0; } static int cmpd(u64int a, u64int b) { int s; if(zero(a)){ if(zero(b)) return 0; return -sign(b); } if(zero(b)) return sign(a); s = sign(a) - sign(b); if(s > 0) return 1; if(s < 0) return -1; return magcmpd(a, b); } static u32int addf(u32int a, u32int b, int sub) { int e1, e2, m1, m2, s1, s2; int n; u32int c; if(inval(a) || inval(b)) return 0x8000; if(zero(b)) return a; if(sub) b ^= 0x8000; if(zero(a)) return b; if(magcmpd(a, b) < 0){ c = a; a = b; b = c; } e1 = expo(a); m1 = mantf(a); s1 = sign(a); e2 = expo(b); m2 = mantf(b); s2 = sign(b); if(e1 - e2 >= 24) return a; m2 >>= e1 - e2; if(s1 == s2) m1 += m2; else m1 -= m2; if(m1 == 0) return 0; n = 8 - clz32(m1); e1 += n; if(n > 0) m1 >>= n; else m1 <<= -n; return makef(s1, e1, m1); } static u32int mulf(u32int a, u32int b) { int e1, e2, m1, m2, s1, s2, l; if(zero(a) || zero(b)) return 0; e1 = expo(a); m1 = mantf(a); s1 = sign(a); e2 = expo(b); m2 = mantf(b); s2 = sign(b); s1 ^= s2 & -2; e1 += e2 - EBIAS; if(e1 <= 0) return 0; l = (uvlong)m1 * m2 + (1<<22) >> 23; if((l & 1<<24) != 0){ l >>= 1; e1++; } if(e1 >= 256) return 0x8000; return makef(s1, e1, l); } static u32int divf(u32int a, u32int b) { int e1, e2, m1, m2, s1, s2; uvlong l; if(zero(a)) return 0; if(zero(b)) return 0x8000; e1 = expo(a); m1 = mantf(a); s1 = sign(a); e2 = expo(b); m2 = mantf(b); s2 = sign(b); s1 ^= s2 & -2; e1 -= e2 - EBIAS; l = (uvlong) m1 << 40; l /= m2; l >>= 17; if(l == 0) return 0; while((l & 1<<23) == 0){ l <<= 1; e1--; } if(e1 <= 0) return 0; if(e1 >= 256) return 0x8000; return makef(s1, e1, l); } static u64int addd(u64int a, u64int b, int sub) { int e1, e2, s1, s2; u64int m1, m2; int n; u64int c; if(inval(a) || inval(b)) return 0x8000; if(zero(b)) return a; if(sub) b ^= 0x8000; if(zero(a)) return b; if(magcmpd(a, b) < 0){ c = a; a = b; b = c; } e1 = expo(a); m1 = mantd(a); s1 = sign(a); e2 = expo(b); m2 = mantd(b); s2 = sign(b); if(e1 - e2 >= 56) return a; m2 >>= e1 - e2; if(s1 == s2) m1 += m2; else m1 -= m2; if(m1 == 0) return 0; n = 8 - clz64(m1); e1 += n; if(n > 0) m1 >>= n; else m1 <<= -n; return maked(s1, e1, m1); } static u64int mul55(u64int a, u64int b) { u64int l; l = (uvlong)(u32int)a * (u32int)b >> 32; l += (a >> 32) * (u32int)b; l += (u32int)a * (b >> 32); l = l + (1<<21) >> 22; l += (a >> 32) * (b >> 32) << 10; l = l + 1 >> 1; return l; } static u64int mul62(u64int a, u64int b) { u64int l; l = (uvlong)(u32int)a * (u32int)b >> 32; l += (a >> 32) * (u32int)b; l += (u32int)a * (b >> 32); l = l + (1<<28) >> 29; l += (a >> 32) * (b >> 32) << 3; l = l + 1 >> 1; return l; } static u64int muld(u64int a, u64int b) { int e1, e2, s1, s2; uvlong m1, m2; uvlong l; if(zero(a) || zero(b)) return 0; e1 = expo(a); m1 = mantd(a); s1 = sign(a); e2 = expo(b); m2 = mantd(b); s2 = sign(b); s1 ^= s2 & -2; e1 += e2 - EBIAS; if(e1 <= 0) return 0; l = mul55(m1, m2); if((l & 1ULL<<56) != 0){ l >>= 1; e1++; } if(e1 >= 256) return 0x8000; return maked(s1, e1, l); } static u64int divd(u64int a, u64int b) { int e1, e2, s1, s2; uvlong m1, m2, l; if(zero(a)) return 0; if(zero(b)) return 0x8000; e1 = expo(a); m1 = mantd(a); s1 = sign(a); e2 = expo(b); m2 = mantd(b); s2 = sign(b); s1 ^= s2 & -2; e1 -= e2 - EBIAS; l = (1ULL<<63) / (m2 >> 28) << 26; m2 <<= 7; l = mul62(l, (1ULL<<63) - mul62(l, m2)); l = mul62(l, (1ULL<<63) - mul62(l, m2)); l = mul62(l, (1ULL<<63) - mul62(l, m2)); l = mul62(l, m1 << 7); l += 1<<6; l >>= 7; if(l == 0) return 0; while((l & 1ULL<<55) == 0){ l <<= 1; e1--; } if(e1 <= 0) return 0; if(e1 >= 256) return 0x8000; return maked(s1, e1, l); } void alufp(int o, int r, int s) { u64int a, b, v; vlong c; int i; switch(r){ case 2: b = readm64(amode(s), s); c = amode(s); a = readm64(c, s); break; case 3: b = readm64(amode(s), s); a = readm64(amode(s), s); c = amode(s); break; default: sysfatal("alufp: r==%d", r); } switch(o){ case ADD: if(s == 0x13) v = addd(a, b, 0); else v = addf(a, b, 0); break; case SUB: if(s == 0x13) v = addd(a, b, 1); else v = addf(a, b, 1); break; case MUL: if(s == 0x13) v = muld(a, b); else v = mulf(a, b); break; case DIV: if(s == 0x13) v = divd(a, b); else v = divf(a, b); break; case CMP: ps &= ~15; i = cmpd(b, a); if(i < 0) ps |= FLAGN; if(i == 0) ps |= FLAGZ; return; default: sysfatal("alufp: unimplemented op=%d", o); } // print("%.8ux %d %20.16g %20.16g %20.16g\n", curpc, o, vdc(a), vdc(b), vdc(v)); ps &= ~15; if(zero(v)) ps |= FLAGZ; if((v & 0x8000) != 0) ps |= FLAGN; writem64(c, v, s); } static u64int itof(s32int i) { int n; u64int l; l = 0; if(i < 0){ l |= 0x8000; i = -i; }else if(i == 0) return 0; n = clz32(i); l |= maked(0, 160 - n, (uvlong)i << 24 + n); return l; } static s64int ftoi(u64int l) { int s, e; s = sign(l); e = expo(l); l = mantd(l); if(e >= EBIAS + 64) return 1LL<<63; if(e < EBIAS) return 0; l >>= EBIAS + 55 - e; if(s < 0) return -l; else return l; } void cvtfp(int s, int t, int r) { u64int l; int si, e; switch(s){ case 0: l = itof((s8int) readm(amode(0), 0)); break; case 1: l = itof((s16int) readm(amode(1), 1)); break; case 2: l = itof(readm(amode(2), 2)); break; case 0x12: l = readm(amode(2), 2); break; case 0x13: l = readm64(amode(3), 3); break; default: sysfatal("cvtfp: s==%d", s); } if(r) l = addd(l, maked(sign(l), 128, 0), 0); if(t < 0x10) l = ftoi(l); ps &= ~15; switch(t){ case 0: if((s64int)l != (s8int)l) ps |= FLAGV; l = (s8int) l; break; case 1: if((s64int)l != (s16int)l) ps |= FLAGV; l = (s16int) l; break; case 2: if((s64int)l != (s32int)l) ps |= FLAGV; l = (s32int) l; break; case 0x12: si = sign(l); e = expo(l); l = mantd(l); l += 1ULL<<31; if((l & 1ULL<<56) != 0){ l >>= 1; e++; } l = maked(si, e, l); break; } writem64(amode(t), l, t); if(t >= 0x10){ if(zero(l)) ps |= FLAGZ; if((l & 0x8000) != 0) ps |= FLAGN; }else{ if(l == 0) ps |= FLAGZ; if((s64int)l < 0) ps |= FLAGN; } } void movefp(int t, int n) { u64int x; x = readm64(amode(t), t); if(inval(x)) sysfatal("invalid float"); ps &= ~(FLAGN|FLAGZ|FLAGV); if(zero(x)) ps |= FLAGZ; else{ if(n) x ^= 0x8000; if((x & 0x8000) != 0) ps |= FLAGN; } writem64(amode(t), x, t); } void emod(int s) { u64int a, b, m1, m2, l; u8int a8; vlong ai, af; int e1, e2, s1, s2, n; a = readm64(amode(s), s); a8 = readm(amode(0), 0); b = readm64(amode(s), s); ai = amode(2); af = amode(s); if(zero(a) || zero(b)){ ps = ps & ~15 | FLAGZ; writem(ai, 0, 2); writem64(af, 0, s); return; } e1 = expo(a); m1 = mantd(a) << 8 | a8; s1 = sign(a); e2 = expo(b); m2 = mantd(b); s2 = sign(b); s1 ^= s2 & -2; e1 += e2 - EBIAS; if(e1 <= 0){ ps = ps & ~15 | FLAGZ; writem(ai, 0, 2); writem64(af, 0, s); return; } l = (uvlong)(u32int)m1 * (u32int)m2 >> 32; l += (m1 >> 32) * (u32int)m2; l += (u32int)m1 * (m2 >> 32); l = l + (1<<29) >> 30; l += (m1 >> 32) * (m2 >> 32) << 2; l = l + 1 >> 1; while((l & 1ULL<<56) != 0){ l = l + 1 >> 1; e1++; } if(e1 >= 256){ ps |= FLAGV; return; } if(e1 < EBIAS){ writem(ai, 0, 2); writem64(af, maked(s1, e1, l), s); if(s1 < 0) ps |= FLAGN; return; } writem(ai, l >> 55+EBIAS-e1, 2); l &= (1ULL<<55+EBIAS-e1) - 1; if(l == 0){ writem64(af, 0, s); ps |= FLAGZ; return; } n = clz64(l)-8; l <<= n; e1 -= n; writem64(af, maked(s1, e1, l), s); if(s1 < 0) ps |= FLAGN; } void fptest(void) { }