//////////////////////////////////////////////////////////////////////////// // **** WAVPACK **** // // Hybrid Lossless Wavefile Compressor // // Copyright (c) 1998 - 2013 Conifer Software. // // All Rights Reserved. // // Distributed under the BSD Software License (see license.txt) // //////////////////////////////////////////////////////////////////////////// // pack_floats.c // This module deals with the compression of floating-point data. Note that no // floating point math is involved here...the values are only processed with // the macros that directly access the mantissa, exponent, and sign fields. // That's why we use the f32 type instead of the built-in float type. #include #include "wavpack_local.h" //#define DISPLAY_DIAGNOSTICS // Scan the provided buffer of floating-point values and (1) convert the // significant portion of the data to integers for compression using the // regular WavPack algorithms (which only operate on integers) and (2) // determine whether the data requires a second stream for lossless // storage (which will usually be the case except when the floating-point // data was originally integer data). The converted integers are returned // "in-place" and a return value of TRUE indicates that a second stream // is required. int scan_float_data (WavpackStream *wps, f32 *values, int32_t num_values) { int32_t shifted_ones = 0, shifted_zeros = 0, shifted_both = 0; int32_t false_zeros = 0, neg_zeros = 0; #ifdef DISPLAY_DIAGNOSTICS int32_t true_zeros = 0, denormals = 0, exceptions = 0; #endif uint32_t ordata = 0, crc = 0xffffffff; int32_t count, value, shift_count; int max_mag = 0, max_exp = 0; f32 *dp; wps->float_shift = wps->float_flags = 0; // First loop goes through all the data and (1) calculates the CRC and (2) finds the // max magnitude that does not have an exponent of 255 (reserved for +/-inf and NaN). for (dp = values, count = num_values; count--; dp++) { crc = crc * 27 + get_mantissa (*dp) * 9 + get_exponent (*dp) * 3 + get_sign (*dp); if (get_exponent (*dp) < 255 && get_magnitude (*dp) > max_mag) max_mag = get_magnitude (*dp); } wps->crc_x = crc; // round up the magnitude so that when we convert the floating-point values to integers, // they will be (at most) just over 24-bits signed precision if (get_exponent (max_mag)) max_exp = get_exponent (max_mag + 0x7F0000); for (dp = values, count = num_values; count--; dp++) { // Exponent of 255 is reserved for +/-inf (mantissa = 0) or NaN (mantissa != 0). // we use a value one greater than 24-bits unsigned for this. if (get_exponent (*dp) == 255) { #ifdef DISPLAY_DIAGNOSTICS exceptions++; #endif wps->float_flags |= FLOAT_EXCEPTIONS; value = 0x1000000; shift_count = 0; } // This is the regular case. We generate a 24-bit unsigned value with the implied // '1' MSB set and calculate a shift that will make it line up with the biggest // samples in this block (although that shift would obviously shift out real data). else if (get_exponent (*dp)) { shift_count = max_exp - get_exponent (*dp); value = 0x800000 + get_mantissa (*dp); } // Zero exponent means either +/- zero (mantissa = 0) or denormals (mantissa != 0). // shift_count is set so that denormals (without an implied '1') will line up with // regular values (with their implied '1' added at bit 23). Trust me. We don't care // about the shift with zero. else { shift_count = max_exp ? max_exp - 1 : 0; value = get_mantissa (*dp); #ifdef DISPLAY_DIAGNOSTICS if (get_mantissa (*dp)) denormals++; #endif } if (shift_count < 25) value >>= shift_count; // perform the shift if there could be anything left else value = 0; // else just zero the value // If we are going to encode an integer zero, then this might be a "false zero" which // means that there are significant bits but they're completely shifted out, or a // "negative zero" which is simply a floating point value that we have to encode // (and converting it to a positive zero would be an error). if (!value) { if (get_exponent (*dp) || get_mantissa (*dp)) ++false_zeros; else if (get_sign (*dp)) ++neg_zeros; #ifdef DISPLAY_DIAGNOSTICS else ++true_zeros; #endif } // If we are going to shift something (but not everything) out of our integer before // encoding, then we generate a mask corresponding to the bits that will be shifted // out and increment the counter for the 3 possible cases of (1) all zeros, (2) all // ones, and (3) a mix of ones and zeros. else if (shift_count) { int32_t mask = (1 << shift_count) - 1; if (!(get_mantissa (*dp) & mask)) shifted_zeros++; else if ((get_mantissa (*dp) & mask) == mask) shifted_ones++; else shifted_both++; } // "or" all the integer values together, and store the final integer with applied sign ordata |= value; * (int32_t *) dp = (get_sign (*dp)) ? -value : value; } wps->float_max_exp = max_exp; // on decode, we use this to calculate actual exponent // Now, based on our various counts, we determine the scheme required to encode the bits // shifted out. Usually these will simply have to be sent literally, but in some rare cases // we can get away with always assuming ones shifted out, or assuming all the bits shifted // out in each value are the same (which means we only have to send a single bit). if (shifted_both) wps->float_flags |= FLOAT_SHIFT_SENT; else if (shifted_ones && !shifted_zeros) wps->float_flags |= FLOAT_SHIFT_ONES; else if (shifted_ones && shifted_zeros) wps->float_flags |= FLOAT_SHIFT_SAME; // Another case is that we only shift out zeros (or maybe nothing), and in that case we // check to see if our data actually has less than 24 or 25 bits of resolution, which means // that we reduce can the magnitude of the integers we are encoding (which saves all those // bits). The number of bits of reduced resolution is stored in float_shift. else if (ordata && !(ordata & 1)) { while (!(ordata & 1)) { wps->float_shift++; ordata >>= 1; } // here we shift out all those zeros in the integer data we will encode for (dp = values, count = num_values; count--; dp++) * (int32_t *) dp >>= wps->float_shift; } // Here we calculate the actual magnitude used by our integer data, although this is just // used for informational purposes during encode/decode to possibly use faster math. wps->wphdr.flags &= ~MAG_MASK; while (ordata) { wps->wphdr.flags += 1 << MAG_LSB; ordata >>= 1; } // Finally, we have to set some flags that guide how we encode various types of "zeros". // If none of these are set (which is the most common situation), then every integer // zero in the decoded data will simply become a floating-point zero. if (false_zeros || neg_zeros) wps->float_flags |= FLOAT_ZEROS_SENT; if (neg_zeros) wps->float_flags |= FLOAT_NEG_ZEROS; #ifdef DISPLAY_DIAGNOSTICS { int32_t *ip, min = 0x7fffffff, max = 0x80000000; for (ip = (int32_t *) values, count = num_values; count--; ip++) { if (*ip < min) min = *ip; if (*ip > max) max = *ip; } fprintf (stderr, "integer range = %d to %d\n", min, max); } fprintf (stderr, "samples = %d, max exp = %d, pre-shift = %d, denormals = %d, exceptions = %d, max_mag = %x\n", num_values, max_exp, wps->float_shift, denormals, exceptions, max_mag); fprintf (stderr, "shifted ones/zeros/both = %d/%d/%d, true/neg/false zeros = %d/%d/%d\n", shifted_ones, shifted_zeros, shifted_both, true_zeros, neg_zeros, false_zeros); #endif return wps->float_flags & (FLOAT_EXCEPTIONS | FLOAT_ZEROS_SENT | FLOAT_SHIFT_SENT | FLOAT_SHIFT_SAME); } // Given a buffer of float data, convert the data to integers (which is what the WavPack compression // algorithms require) and write the other data required for lossless compression (which includes // significant bits shifted out of the integers, plus information about +/- zeros and exceptions // like NaN and +/- infinities) into the wvxbits stream (which is assumed to be opened). Note that // for this work correctly, scan_float_data() must have been called on the original data to set // the appropriate flags in float_flags and max_exp. void send_float_data (WavpackStream *wps, f32 *values, int32_t num_values) { int max_exp = wps->float_max_exp; int32_t count, value, shift_count; f32 *dp; for (dp = values, count = num_values; count--; dp++) { if (get_exponent (*dp) == 255) { if (get_mantissa (*dp)) { putbit_1 (&wps->wvxbits); putbits (get_mantissa (*dp), 23, &wps->wvxbits); } else { putbit_0 (&wps->wvxbits); } value = 0x1000000; shift_count = 0; } else if (get_exponent (*dp)) { shift_count = max_exp - get_exponent (*dp); value = 0x800000 + get_mantissa (*dp); } else { shift_count = max_exp ? max_exp - 1 : 0; value = get_mantissa (*dp); } if (shift_count < 25) value >>= shift_count; else value = 0; if (!value) { if (wps->float_flags & FLOAT_ZEROS_SENT) { if (get_exponent (*dp) || get_mantissa (*dp)) { putbit_1 (&wps->wvxbits); putbits (get_mantissa (*dp), 23, &wps->wvxbits); if (max_exp >= 25) { putbits (get_exponent (*dp), 8, &wps->wvxbits); } putbit (get_sign (*dp), &wps->wvxbits); } else { putbit_0 (&wps->wvxbits); if (wps->float_flags & FLOAT_NEG_ZEROS) putbit (get_sign (*dp), &wps->wvxbits); } } } else if (shift_count) { if (wps->float_flags & FLOAT_SHIFT_SENT) { int32_t data = get_mantissa (*dp) & ((1 << shift_count) - 1); putbits (data, shift_count, &wps->wvxbits); } else if (wps->float_flags & FLOAT_SHIFT_SAME) { putbit (get_mantissa (*dp) & 1, &wps->wvxbits); } } } }