/* float.c: Glulxe code for floating-point operations Designed by Andrew Plotkin http://eblong.com/zarf/glulx/index.html */ #include "glk.h" #include "glulxe.h" #ifdef FLOAT_SUPPORT #include #include /* This entire file is compiled out if the FLOAT_SUPPORT option is off. (Because we probably can't define a gfloat32 in that case.) */ #ifndef FLOAT_NOT_NATIVE int init_float() { /* Check and make sure the native float format is really IEEE-754 single-precision. */ if (sizeof(gfloat32) != 4) { fatal_error("gfloat32 is not 32 bits."); return FALSE; } if (encode_float((gfloat32)(-1)) != 0xBF800000) { fatal_error("The gfloat32 format of -1 did not match."); return FALSE; } return TRUE; } /* Encode and decode floats by reinterpret-casting. */ glui32 encode_float(gfloat32 val) { glui32 res; *(gfloat32 *)(&res) = val; return res; } gfloat32 decode_float(glui32 val) { gfloat32 res; *(glui32 *)(&res) = val; return res; } #else /* FLOAT_NOT_NATIVE */ int init_float() { return TRUE; } /* Encode and decode floats by a lot of annoying bit manipulation. The following functions are adapted from code in Python (Objects/floatobject.c). */ glui32 encode_float(gfloat32 val) { gfloat32 absval; glui32 sign; int expo; gfloat32 mant; glui32 fbits; if (signbit(val)) { sign = 0x80000000; absval = -val; } else { sign = 0x0; absval = val; } if (isinf(val)) { return sign | 0x7f800000; /* infinity */ } if (isnan(val)) { return sign | 0x7fc00000; } mant = frexpf(absval, &expo); /* Normalize mantissa to be in the range [1.0, 2.0) */ if (0.5 <= mant && mant < 1.0) { mant *= 2.0; expo--; } else if (mant == 0.0) { expo = 0; } else { return sign | 0x7f800000; /* infinity */ } if (expo >= 128) { return sign | 0x7f800000; /* infinity */ } else if (expo < -126) { /* Denormalized (very small) number */ mant = ldexpf(mant, 126 + expo); expo = 0; } else if (!(expo == 0 && mant == 0.0)) { expo += 127; mant -= 1.0; /* Get rid of leading 1 */ } mant *= 8388608.0; /* 2^23 */ fbits = (glui32)(mant + 0.5); /* round mant to nearest int */ if (fbits >> 23) { /* The carry propagated out of a string of 23 1 bits. */ fbits = 0; expo++; if (expo >= 255) { return sign | 0x7f800000; /* infinity */ } } return (sign) | ((glui32)(expo << 23)) | (fbits); } gfloat32 decode_float(glui32 val) { int sign; int expo; glui32 mant; gfloat32 res; /* First byte */ sign = ((val & 0x80000000) != 0); expo = (val >> 23) & 0xFF; mant = val & 0x7FFFFF; if (expo == 255) { if (mant == 0) { /* Infinity */ return (sign ? (-INFINITY) : (INFINITY)); } else { /* Not a number */ return (sign ? (-NAN) : (NAN)); } } res = (gfloat32)mant / 8388608.0; if (expo == 0) { expo = -126; } else { res += 1.0; expo -= 127; } res = ldexpf(res, expo); return (sign ? (-res) : (res)); } #endif /* FLOAT_NOT_NATIVE */ #endif /* FLOAT_SUPPORT */