#include "inc/priv.h" #include "inc/operators.h" mpint * conv_to_bignum(sl_v v, const void *data, sl_numtype tag) { switch(tag){ case T_S8: return itomp(*(s8int*)data, nil); case T_U8: return uitomp(*(u8int*)data, nil); case T_S16: return itomp(*(s16int*)data, nil); case T_U16: return uitomp(*(u16int*)data, nil); case T_S32: return itomp(*(s32int*)data, nil); case T_U32: case T_P32: return uitomp(*(u32int*)data, nil); case T_S64: return vtomp(*(s64int*)data, nil); case T_U64: case T_P64: return uvtomp(*(u64int*)data, nil); case T_BIG: return mpcopy(*(mpint**)data); case T_F32: return dtomp(*(float*)data, nil); case T_F64: return dtomp(*(double*)data, nil); case T_NONNUMERIC: cthrow(type_error(nil, "num", v), v); } abort(); } double conv_to_double(sl_v v, const void *data, sl_numtype tag) { double d; switch(tag){ case T_S8: return *(s8int*)data; case T_U8: return *(u8int*)data; case T_S16: return *(s16int*)data; case T_U16: return *(u16int*)data; case T_S32: return *(s32int*)data; case T_U32: case T_P32: return *(u32int*)data; case T_S64: d = (double)*(s64int*)data; if(d > 0 && *(s64int*)data < 0) // can happen! d = -d; return d; case T_U64: case T_P64: return (double)*(u64int*)data; case T_BIG: return mptod(*(mpint**)data); case T_F32: return *(float*)data; case T_F64: return *(double*)data; case T_NONNUMERIC: cthrow(type_error(nil, "num", v), v); } abort(); } #define CONV_TO_INTTYPE(name, ctype) \ ctype \ conv_to_##name(sl_v v, const void *data, sl_numtype tag) \ { \ mpint *m; \ switch(tag){ \ case T_S8: return *(s8int*)data; \ case T_U8: return *(u8int*)data; \ case T_S16: return *(s16int*)data; \ case T_U16: return *(u16int*)data; \ case T_S32: return *(s32int*)data; \ case T_U32: case T_P32: return *(u32int*)data; \ case T_S64: case T_P64: return *(s64int*)data; \ case T_U64: return *(u64int*)data; \ case T_BIG: return (m = (*(mpint**)data))->sign < 0 ? (ctype)mptov(m) : (ctype)mptouv(m); \ case T_F32: return *(float*)data; \ case T_F64: return *(double*)data; \ case T_NONNUMERIC: cthrow(type_error(nil, "num", v), v); \ } \ abort(); \ } CONV_TO_INTTYPE(s64, s64int) CONV_TO_INTTYPE(s32, s32int) CONV_TO_INTTYPE(u32, u32int) // this is needed to work around an UB casting negative // floats and doubles to uint64. you need to cast to int64 // first. u64int conv_to_u64(sl_v v, const void *data, sl_numtype tag) { mpint *m; s64int s; switch(tag){ case T_S8: return *(s8int*)data; case T_U8: return *(u8int*)data; case T_S16: return *(s16int*)data; case T_U16: return *(u16int*)data; case T_S32: return *(s32int*)data; case T_U32: case T_P32: return *(u32int*)data; case T_S64: return *(s64int*)data; case T_U64: case T_P64: return *(u64int*)data; case T_BIG: return (m = (*(mpint**)data))->sign < 0 ? (u64int)mptov(m) : mptouv(m); case T_F32: if(*(float*)data >= 0) return *(float*)data; s = *(float*)data; return s; case T_F64: if(*(double*)data >= 0) return *(double*)data; s = *(double*)data; return s; case T_NONNUMERIC: cthrow(type_error(nil, "num", v), v); } abort(); } sl_nonnull(1, 2) static sl_purefn bool cmp_same_lt(const void *a, const void *b, sl_numtype tag) { switch(tag){ case T_S8: return *(s8int*)a < *(s8int*)b; case T_U8: return *(u8int*)a < *(u8int*)b; case T_S16: return *(s16int*)a < *(s16int*)b; case T_U16: return *(u16int*)a < *(u16int*)b; case T_S32: return *(s32int*)a < *(s32int*)b; case T_U32: case T_P32: return *(u32int*)a < *(u32int*)b; case T_S64: return *(s64int*)a < *(s64int*)b; case T_U64: case T_P64: return *(u64int*)a < *(u64int*)b; case T_BIG: return mpcmp(*(mpint**)a, *(mpint**)b) < 0; case T_F32: return *(float*)a < *(float*)b && !isnan(*(float*)a) && !isnan(*(float*)b); case T_F64: return *(double*)a < *(double*)b && !isnan(*(double*)a) && !isnan(*(double*)b); case T_NONNUMERIC: break; } abort(); } sl_nonnull(1, 2) static sl_purefn bool cmp_same_eq(const void *a, const void *b, sl_numtype tag) { switch(tag){ case T_S8: return *(s8int*)a == *(s8int*)b; case T_U8: return *(u8int*)a == *(u8int*)b; case T_S16: return *(s16int*)a == *(s16int*)b; case T_U16: return *(u16int*)a == *(u16int*)b; case T_S32: return *(s32int*)a == *(s32int*)b; case T_U32: case T_P32: return *(u32int*)a == *(u32int*)b; case T_S64: return *(s64int*)a == *(s64int*)b; case T_U64: case T_P64: return *(u64int*)a == *(u64int*)b; case T_BIG: return mpcmp(*(mpint**)a, *(mpint**)b) == 0; case T_F32: return *(float*)a == *(float*)b && !isnan(*(float*)a) && !isnan(*(float*)b); case T_F64: return *(double*)a == *(double*)b && !isnan(*(double*)a) && !isnan(*(double*)b); case T_NONNUMERIC: break; } abort(); } sl_nonnull(1, 3) static sl_numtype promote(const void *x, sl_numtype nt, void *d, mpint **m) { if(is_nt_uint(nt)){ *(u64int*)d = conv_to_u64(sl_nil, x, nt); nt = T_U64; }else if(is_nt_sint(nt)){ *(s64int*)d = conv_to_s64(sl_nil, x, nt); nt = T_S64; }else if(nt >= T_F32){ *(double*)d = conv_to_double(sl_nil, x, nt); nt = T_F64; }else if(nt == T_BIG){ if(sl.mptemp == nil) sl.mptemp = mpnew(128); *m = *(mpint**)x; }else abort(); return nt; } int cmp_numeric(const void *ap, sl_numtype ant, const void *bp, sl_numtype bnt) { if(ant == bnt){ if(cmp_same_eq(ap, bp, ant)) return 0; return cmp_same_lt(ap, bp, ant) ? -1 : 1; } union{ u64int u; s64int s; double d; mpint *m; }a, b; ant = promote(ap, ant, &a.u, &a.m); bnt = promote(bp, bnt, &b.u, &b.m); switch(ant){ case T_U64: switch(bnt){ case T_U64: return a.u < b.u ? -1 : (a.u == b.u ? 0 : 1); case T_S64: return a.u < b.u && b.s > 0 ? -1 : (a.u == b.u && b.s >= 0 ? 0 : 1); case T_F64: return isnan(b.d) ? 1 : ((double)a.u < b.d && b.d > 0 ? -1 : ((double)a.u == b.d && b.d >= 0 ? 0 : 1)); case T_BIG: return mpcmp(uvtomp(a.u, sl.mptemp), b.m); default: break; } break; case T_S64: switch(bnt){ case T_S64: return a.s < b.s ? -1 : (a.s == b.s ? 0 : 1); case T_U64: return (a.s < 0 || a.u < b.u) ? -1 : (a.u == b.u && a.s >= 0 ? 0 : 1); case T_F64: return isnan(b.d) ? 1 : ((double)a.s < b.d ? -1 : ((double)a.s == b.d ? 0 : 1)); case T_BIG: return mpcmp(vtomp(a.s, sl.mptemp), b.m); default: break; } break; case T_F64: if(isnan(a.d)) return 1; switch(bnt){ case T_F64: return isnan(b.d) ? 1 : (a.d < b.d ? -1 : (a.d == b.d ? 0 : 1)); case T_U64: return (a.d < 0 || a.d < (double)b.u) ? -1 : (a.d == (double)b.u ? 0 : 1); case T_S64: return a.d < (double)b.s ? -1 : (a.d == (double)b.s ? 0 : 1); case T_BIG: return mpcmp(dtomp(a.d, sl.mptemp), b.m); default: break; } break; case T_BIG: switch(bnt){ case T_U64: return mpcmp(a.m, uvtomp(b.u, sl.mptemp)); case T_S64: return mpcmp(a.m, vtomp(b.s, sl.mptemp)); case T_F64: return isnan(b.d) ? 1 : mpcmp(a.m, dtomp(b.d, sl.mptemp)); default: break; } break; default: break; } abort(); }