diff options
| author | Siarhei Siamashka <siarhei.siamashka@nokia.com> | 2009-01-22 00:12:40 +0200 |
|---|---|---|
| committer | Johan Hedberg <johan.hedberg@nokia.com> | 2009-01-23 21:13:02 +0200 |
| commit | f70d1ada0aba5567fbf67cedfb4a4ba1a9f9852e (patch) | |
| tree | a800c09447f7d2ff64d2b8b9ae815479046c94aa /sbc | |
| parent | 3e88293bae37a5e78a8c46cc0eabf452a9591d26 (diff) | |
Audio quality improvement for 16-bit fixed point SBC encoder
Multiplying the first part of the analysis filter constant tables
by some coefficients and dividing the second part by the same
coefficients is a transformation which should produce the same
results if rounding errors are not taken into account. These
additional C0/C1/... coefficients can be varied in a certain
range (the requirement is that we still do not get overflows).
The 'magic' values for these coefficients are selected in such
a way that the rounding errors are minimized (rounding errors
are unavoidable when putting all the floating constants into
16-bit tables and losing some of the fractional part).
Also non-SIMD variant of the analysis filter is dropped because
keeping it would require applying a similar change to its tables,
which is a bit tricky and just increases maintenance overhead.
Diffstat (limited to 'sbc')
| -rw-r--r-- | sbc/sbc_primitives.c | 157 | ||||
| -rw-r--r-- | sbc/sbc_tables.h | 460 |
2 files changed, 270 insertions, 347 deletions
diff --git a/sbc/sbc_primitives.c b/sbc/sbc_primitives.c index e3a77643..602b473d 100644 --- a/sbc/sbc_primitives.c +++ b/sbc/sbc_primitives.c @@ -34,155 +34,22 @@ #include "sbc_primitives_neon.h" /* - * A standard C code of analysis filter. - */ -static inline void sbc_analyze_four(const int16_t *in, int32_t *out) -{ - FIXED_A t1[4]; - FIXED_T t2[4]; - int i = 0, hop = 0; - - /* rounding coefficient */ - t1[0] = t1[1] = t1[2] = t1[3] = - (FIXED_A) 1 << (SBC_PROTO_FIXED4_SCALE - 1); - - /* low pass polyphase filter */ - for (hop = 0; hop < 40; hop += 8) { - t1[0] += (FIXED_A) in[hop] * _sbc_proto_fixed4[hop]; - t1[1] += (FIXED_A) in[hop + 1] * _sbc_proto_fixed4[hop + 1]; - t1[2] += (FIXED_A) in[hop + 2] * _sbc_proto_fixed4[hop + 2]; - t1[1] += (FIXED_A) in[hop + 3] * _sbc_proto_fixed4[hop + 3]; - t1[0] += (FIXED_A) in[hop + 4] * _sbc_proto_fixed4[hop + 4]; - t1[3] += (FIXED_A) in[hop + 5] * _sbc_proto_fixed4[hop + 5]; - t1[3] += (FIXED_A) in[hop + 7] * _sbc_proto_fixed4[hop + 7]; - } - - /* scaling */ - t2[0] = t1[0] >> SBC_PROTO_FIXED4_SCALE; - t2[1] = t1[1] >> SBC_PROTO_FIXED4_SCALE; - t2[2] = t1[2] >> SBC_PROTO_FIXED4_SCALE; - t2[3] = t1[3] >> SBC_PROTO_FIXED4_SCALE; - - /* do the cos transform */ - for (i = 0, hop = 0; i < 4; hop += 8, i++) { - out[i] = ((FIXED_A) t2[0] * cos_table_fixed_4[0 + hop] + - (FIXED_A) t2[1] * cos_table_fixed_4[1 + hop] + - (FIXED_A) t2[2] * cos_table_fixed_4[2 + hop] + - (FIXED_A) t2[3] * cos_table_fixed_4[5 + hop]) >> - (SBC_COS_TABLE_FIXED4_SCALE - SCALE_OUT_BITS); - } -} - -static void sbc_analyze_4b_4s(int16_t *pcm, int16_t *x, - int32_t *out, int out_stride) -{ - int i; - - /* Input 4 x 4 Audio Samples */ - for (i = 0; i < 16; i += 4) { - x[64 + i] = x[0 + i] = pcm[15 - i]; - x[65 + i] = x[1 + i] = pcm[14 - i]; - x[66 + i] = x[2 + i] = pcm[13 - i]; - x[67 + i] = x[3 + i] = pcm[12 - i]; - } - - /* Analyze four blocks */ - sbc_analyze_four(x + 12, out); - out += out_stride; - sbc_analyze_four(x + 8, out); - out += out_stride; - sbc_analyze_four(x + 4, out); - out += out_stride; - sbc_analyze_four(x, out); -} - -static inline void sbc_analyze_eight(const int16_t *in, int32_t *out) -{ - FIXED_A t1[8]; - FIXED_T t2[8]; - int i, hop; - - /* rounding coefficient */ - t1[0] = t1[1] = t1[2] = t1[3] = t1[4] = t1[5] = t1[6] = t1[7] = - (FIXED_A) 1 << (SBC_PROTO_FIXED8_SCALE-1); - - /* low pass polyphase filter */ - for (hop = 0; hop < 80; hop += 16) { - t1[0] += (FIXED_A) in[hop] * _sbc_proto_fixed8[hop]; - t1[1] += (FIXED_A) in[hop + 1] * _sbc_proto_fixed8[hop + 1]; - t1[2] += (FIXED_A) in[hop + 2] * _sbc_proto_fixed8[hop + 2]; - t1[3] += (FIXED_A) in[hop + 3] * _sbc_proto_fixed8[hop + 3]; - t1[4] += (FIXED_A) in[hop + 4] * _sbc_proto_fixed8[hop + 4]; - t1[3] += (FIXED_A) in[hop + 5] * _sbc_proto_fixed8[hop + 5]; - t1[2] += (FIXED_A) in[hop + 6] * _sbc_proto_fixed8[hop + 6]; - t1[1] += (FIXED_A) in[hop + 7] * _sbc_proto_fixed8[hop + 7]; - t1[0] += (FIXED_A) in[hop + 8] * _sbc_proto_fixed8[hop + 8]; - t1[5] += (FIXED_A) in[hop + 9] * _sbc_proto_fixed8[hop + 9]; - t1[6] += (FIXED_A) in[hop + 10] * _sbc_proto_fixed8[hop + 10]; - t1[7] += (FIXED_A) in[hop + 11] * _sbc_proto_fixed8[hop + 11]; - t1[7] += (FIXED_A) in[hop + 13] * _sbc_proto_fixed8[hop + 13]; - t1[6] += (FIXED_A) in[hop + 14] * _sbc_proto_fixed8[hop + 14]; - t1[5] += (FIXED_A) in[hop + 15] * _sbc_proto_fixed8[hop + 15]; - } - - /* scaling */ - t2[0] = t1[0] >> SBC_PROTO_FIXED8_SCALE; - t2[1] = t1[1] >> SBC_PROTO_FIXED8_SCALE; - t2[2] = t1[2] >> SBC_PROTO_FIXED8_SCALE; - t2[3] = t1[3] >> SBC_PROTO_FIXED8_SCALE; - t2[4] = t1[4] >> SBC_PROTO_FIXED8_SCALE; - t2[5] = t1[5] >> SBC_PROTO_FIXED8_SCALE; - t2[6] = t1[6] >> SBC_PROTO_FIXED8_SCALE; - t2[7] = t1[7] >> SBC_PROTO_FIXED8_SCALE; - - /* do the cos transform */ - for (i = 0, hop = 0; i < 8; hop += 16, i++) { - out[i] = ((FIXED_A) t2[0] * cos_table_fixed_8[0 + hop] + - (FIXED_A) t2[1] * cos_table_fixed_8[1 + hop] + - (FIXED_A) t2[2] * cos_table_fixed_8[2 + hop] + - (FIXED_A) t2[3] * cos_table_fixed_8[3 + hop] + - (FIXED_A) t2[4] * cos_table_fixed_8[4 + hop] + - (FIXED_A) t2[5] * cos_table_fixed_8[9 + hop] + - (FIXED_A) t2[6] * cos_table_fixed_8[10 + hop] + - (FIXED_A) t2[7] * cos_table_fixed_8[11 + hop]) >> - (SBC_COS_TABLE_FIXED8_SCALE - SCALE_OUT_BITS); - } -} - -static void sbc_analyze_4b_8s(int16_t *pcm, int16_t *x, - int32_t *out, int out_stride) -{ - int i; - - /* Input 4 x 8 Audio Samples */ - for (i = 0; i < 32; i += 8) { - x[128 + i] = x[0 + i] = pcm[31 - i]; - x[129 + i] = x[1 + i] = pcm[30 - i]; - x[130 + i] = x[2 + i] = pcm[29 - i]; - x[131 + i] = x[3 + i] = pcm[28 - i]; - x[132 + i] = x[4 + i] = pcm[27 - i]; - x[133 + i] = x[5 + i] = pcm[26 - i]; - x[134 + i] = x[6 + i] = pcm[25 - i]; - x[135 + i] = x[7 + i] = pcm[24 - i]; - } - - /* Analyze four blocks */ - sbc_analyze_eight(x + 24, out); - out += out_stride; - sbc_analyze_eight(x + 16, out); - out += out_stride; - sbc_analyze_eight(x + 8, out); - out += out_stride; - sbc_analyze_eight(x, out); -} - -/* * A reference C code of analysis filter with SIMD-friendly tables * reordering and code layout. This code can be used to develop platform * specific SIMD optimizations. Also it may be used as some kind of test * for compiler autovectorization capabilities (who knows, if the compiler * is very good at this stuff, hand optimized assembly may be not strictly * needed for some platform). + * + * Note: It is also possible to make a simple variant of analysis filter, + * which needs only a single constants table without taking care about + * even/odd cases. This simple variant of filter can be implemented without + * input data permutation. The only thing that would be lost is the + * possibility to use pairwise SIMD multiplications. But for some simple + * CPU cores without SIMD extensions it can be useful. If anybody is + * interested in implementing such variant of a filter, sourcecode from + * bluez versions 4.26/4.27 can be used as a reference and the history of + * the changes in git repository done around that time may be worth checking. */ static inline void sbc_analyze_four_simd(const int16_t *in, int32_t *out, @@ -398,8 +265,8 @@ static inline void sbc_analyze_4b_8s_simd(int16_t *pcm, int16_t *x, void sbc_init_primitives(struct sbc_encoder_state *state) { /* Default implementation for analyze functions */ - state->sbc_analyze_4b_4s = sbc_analyze_4b_4s; - state->sbc_analyze_4b_8s = sbc_analyze_4b_8s; + state->sbc_analyze_4b_4s = sbc_analyze_4b_4s_simd; + state->sbc_analyze_4b_8s = sbc_analyze_4b_8s_simd; /* X86/AMD64 optimizations */ #ifdef SBC_BUILD_WITH_MMX_SUPPORT diff --git a/sbc/sbc_tables.h b/sbc/sbc_tables.h index bed7e2ee..0057c73f 100644 --- a/sbc/sbc_tables.h +++ b/sbc/sbc_tables.h @@ -234,8 +234,8 @@ static const FIXED_T cos_table_fixed_4[32] = { * in order to compensate the same change applied to cos_table_fixed_8 */ #define SBC_PROTO_FIXED8_SCALE \ - ((sizeof(FIXED_T) * CHAR_BIT - 1) - SBC_FIXED_EXTRA_BITS + 2) -#define F_PROTO8(x) (FIXED_A) ((x * 4) * \ + ((sizeof(FIXED_T) * CHAR_BIT - 1) - SBC_FIXED_EXTRA_BITS + 1) +#define F_PROTO8(x) (FIXED_A) ((x * 2) * \ ((FIXED_A) 1 << (sizeof(FIXED_T) * CHAR_BIT - 1)) + 0.5) #define F(x) F_PROTO8(x) static const FIXED_T _sbc_proto_fixed8[80] = { @@ -375,229 +375,285 @@ static const FIXED_T cos_table_fixed_8[128] = { */ static const FIXED_T SBC_ALIGNED analysis_consts_fixed4_simd_even[40 + 16] = { +#define C0 1.0932568993 +#define C1 1.3056875580 +#define C2 1.3056875580 +#define C3 1.6772280856 + #define F(x) F_PROTO4(x) - F(0.00000000E+00), F(3.83720193E-03), - F(5.36548976E-04), F(2.73370904E-03), - F(3.06012286E-03), F(3.89205149E-03), - F(0.00000000E+00), -F(1.49188357E-03), - F(1.09137620E-02), F(2.58767811E-02), - F(2.04385087E-02), F(3.21939290E-02), - F(7.76463494E-02), F(6.13245186E-03), - F(0.00000000E+00), -F(2.88757392E-02), - F(1.35593274E-01), F(2.94315332E-01), - F(1.94987841E-01), F(2.81828203E-01), - -F(1.94987841E-01), F(2.81828203E-01), - F(0.00000000E+00), -F(2.46636662E-01), - -F(1.35593274E-01), F(2.58767811E-02), - -F(7.76463494E-02), F(6.13245186E-03), - -F(2.04385087E-02), F(3.21939290E-02), - F(0.00000000E+00), F(2.88217274E-02), - -F(1.09137620E-02), F(3.83720193E-03), - -F(3.06012286E-03), F(3.89205149E-03), - -F(5.36548976E-04), F(2.73370904E-03), - F(0.00000000E+00), -F(1.86581691E-03), + F(0.00000000E+00 * C0), F(3.83720193E-03 * C0), + F(5.36548976E-04 * C1), F(2.73370904E-03 * C1), + F(3.06012286E-03 * C2), F(3.89205149E-03 * C2), + F(0.00000000E+00 * C3), -F(1.49188357E-03 * C3), + F(1.09137620E-02 * C0), F(2.58767811E-02 * C0), + F(2.04385087E-02 * C1), F(3.21939290E-02 * C1), + F(7.76463494E-02 * C2), F(6.13245186E-03 * C2), + F(0.00000000E+00 * C3), -F(2.88757392E-02 * C3), + F(1.35593274E-01 * C0), F(2.94315332E-01 * C0), + F(1.94987841E-01 * C1), F(2.81828203E-01 * C1), + -F(1.94987841E-01 * C2), F(2.81828203E-01 * C2), + F(0.00000000E+00 * C3), -F(2.46636662E-01 * C3), + -F(1.35593274E-01 * C0), F(2.58767811E-02 * C0), + -F(7.76463494E-02 * C1), F(6.13245186E-03 * C1), + -F(2.04385087E-02 * C2), F(3.21939290E-02 * C2), + F(0.00000000E+00 * C3), F(2.88217274E-02 * C3), + -F(1.09137620E-02 * C0), F(3.83720193E-03 * C0), + -F(3.06012286E-03 * C1), F(3.89205149E-03 * C1), + -F(5.36548976E-04 * C2), F(2.73370904E-03 * C2), + F(0.00000000E+00 * C3), -F(1.86581691E-03 * C3), #undef F #define F(x) F_COS4(x) - F(0.7071067812), F(0.9238795325), - -F(0.7071067812), F(0.3826834324), - -F(0.7071067812), -F(0.3826834324), - F(0.7071067812), -F(0.9238795325), - F(0.3826834324), -F(1.0000000000), - -F(0.9238795325), -F(1.0000000000), - F(0.9238795325), -F(1.0000000000), - -F(0.3826834324), -F(1.0000000000), + F(0.7071067812 / C0), F(0.9238795325 / C1), + -F(0.7071067812 / C0), F(0.3826834324 / C1), + -F(0.7071067812 / C0), -F(0.3826834324 / C1), + F(0.7071067812 / C0), -F(0.9238795325 / C1), + F(0.3826834324 / C2), -F(1.0000000000 / C3), + -F(0.9238795325 / C2), -F(1.0000000000 / C3), + F(0.9238795325 / C2), -F(1.0000000000 / C3), + -F(0.3826834324 / C2), -F(1.0000000000 / C3), #undef F + +#undef C0 +#undef C1 +#undef C2 +#undef C3 }; static const FIXED_T SBC_ALIGNED analysis_consts_fixed4_simd_odd[40 + 16] = { +#define C0 1.3056875580 +#define C1 1.6772280856 +#define C2 1.0932568993 +#define C3 1.3056875580 + #define F(x) F_PROTO4(x) - F(2.73370904E-03), F(5.36548976E-04), - -F(1.49188357E-03), F(0.00000000E+00), - F(3.83720193E-03), F(1.09137620E-02), - F(3.89205149E-03), F(3.06012286E-03), - F(3.21939290E-02), F(2.04385087E-02), - -F(2.88757392E-02), F(0.00000000E+00), - F(2.58767811E-02), F(1.35593274E-01), - F(6.13245186E-03), F(7.76463494E-02), - F(2.81828203E-01), F(1.94987841E-01), - -F(2.46636662E-01), F(0.00000000E+00), - F(2.94315332E-01), -F(1.35593274E-01), - F(2.81828203E-01), -F(1.94987841E-01), - F(6.13245186E-03), -F(7.76463494E-02), - F(2.88217274E-02), F(0.00000000E+00), - F(2.58767811E-02), -F(1.09137620E-02), - F(3.21939290E-02), -F(2.04385087E-02), - F(3.89205149E-03), -F(3.06012286E-03), - -F(1.86581691E-03), F(0.00000000E+00), - F(3.83720193E-03), F(0.00000000E+00), - F(2.73370904E-03), -F(5.36548976E-04), + F(2.73370904E-03 * C0), F(5.36548976E-04 * C0), + -F(1.49188357E-03 * C1), F(0.00000000E+00 * C1), + F(3.83720193E-03 * C2), F(1.09137620E-02 * C2), + F(3.89205149E-03 * C3), F(3.06012286E-03 * C3), + F(3.21939290E-02 * C0), F(2.04385087E-02 * C0), + -F(2.88757392E-02 * C1), F(0.00000000E+00 * C1), + F(2.58767811E-02 * C2), F(1.35593274E-01 * C2), + F(6.13245186E-03 * C3), F(7.76463494E-02 * C3), + F(2.81828203E-01 * C0), F(1.94987841E-01 * C0), + -F(2.46636662E-01 * C1), F(0.00000000E+00 * C1), + F(2.94315332E-01 * C2), -F(1.35593274E-01 * C2), + F(2.81828203E-01 * C3), -F(1.94987841E-01 * C3), + F(6.13245186E-03 * C0), -F(7.76463494E-02 * C0), + F(2.88217274E-02 * C1), F(0.00000000E+00 * C1), + F(2.58767811E-02 * C2), -F(1.09137620E-02 * C2), + F(3.21939290E-02 * C3), -F(2.04385087E-02 * C3), + F(3.89205149E-03 * C0), -F(3.06012286E-03 * C0), + -F(1.86581691E-03 * C1), F(0.00000000E+00 * C1), + F(3.83720193E-03 * C2), F(0.00000000E+00 * C2), + F(2.73370904E-03 * C3), -F(5.36548976E-04 * C3), #undef F #define F(x) F_COS4(x) - F(0.9238795325), -F(1.0000000000), - F(0.3826834324), -F(1.0000000000), - -F(0.3826834324), -F(1.0000000000), - -F(0.9238795325), -F(1.0000000000), - F(0.7071067812), F(0.3826834324), - -F(0.7071067812), -F(0.9238795325), - -F(0.7071067812), F(0.9238795325), - F(0.7071067812), -F(0.3826834324), + F(0.9238795325 / C0), -F(1.0000000000 / C1), + F(0.3826834324 / C0), -F(1.0000000000 / C1), + -F(0.3826834324 / C0), -F(1.0000000000 / C1), + -F(0.9238795325 / C0), -F(1.0000000000 / C1), + F(0.7071067812 / C2), F(0.3826834324 / C3), + -F(0.7071067812 / C2), -F(0.9238795325 / C3), + -F(0.7071067812 / C2), F(0.9238795325 / C3), + F(0.7071067812 / C2), -F(0.3826834324 / C3), #undef F + +#undef C0 +#undef C1 +#undef C2 +#undef C3 }; static const FIXED_T SBC_ALIGNED analysis_consts_fixed8_simd_even[80 + 64] = { +#define C0 2.7906148894 +#define C1 2.4270044280 +#define C2 2.8015616024 +#define C3 3.1710363741 +#define C4 2.5377944043 +#define C5 2.4270044280 +#define C6 2.8015616024 +#define C7 3.1710363741 + #define F(x) F_PROTO8(x) - F(0.00000000E+00), F(2.01182542E-03), - F(1.56575398E-04), F(1.78371725E-03), - F(3.43256425E-04), F(1.47640169E-03), - F(5.54620202E-04), F(1.13992507E-03), - -F(8.23919506E-04), F(0.00000000E+00), - F(2.10371989E-03), F(3.49717454E-03), - F(1.99454554E-03), F(1.64973098E-03), - F(1.61656283E-03), F(1.78805361E-04), - F(5.65949473E-03), F(1.29371806E-02), - F(8.02941163E-03), F(1.53184106E-02), - F(1.04584443E-02), F(1.62208471E-02), - F(1.27472335E-02), F(1.59045603E-02), - -F(1.46525263E-02), F(0.00000000E+00), - F(8.85757540E-03), F(5.31873032E-02), - F(2.92408442E-03), F(3.90751381E-02), - -F(4.91578024E-03), F(2.61098752E-02), - F(6.79989431E-02), F(1.46955068E-01), - F(8.29847578E-02), F(1.45389847E-01), - F(9.75753918E-02), F(1.40753505E-01), - F(1.11196689E-01), F(1.33264415E-01), - -F(1.23264548E-01), F(0.00000000E+00), - F(1.45389847E-01), -F(8.29847578E-02), - F(1.40753505E-01), -F(9.75753918E-02), - F(1.33264415E-01), -F(1.11196689E-01), - -F(6.79989431E-02), F(1.29371806E-02), - -F(5.31873032E-02), F(8.85757540E-03), - -F(3.90751381E-02), F(2.92408442E-03), - -F(2.61098752E-02), -F(4.91578024E-03), - F(1.46404076E-02), F(0.00000000E+00), - F(1.53184106E-02), -F(8.02941163E-03), - F(1.62208471E-02), -F(1.04584443E-02), - F(1.59045603E-02), -F(1.27472335E-02), - -F(5.65949473E-03), F(2.01182542E-03), - -F(3.49717454E-03), F(2.10371989E-03), - -F(1.64973098E-03), F(1.99454554E-03), - -F(1.78805361E-04), F(1.61656283E-03), - -F(9.02154502E-04), F(0.00000000E+00), - F(1.78371725E-03), -F(1.56575398E-04), - F(1.47640169E-03), -F(3.43256425E-04), - F(1.13992507E-03), -F(5.54620202E-04), + F(0.00000000E+00 * C0), F(2.01182542E-03 * C0), + F(1.56575398E-04 * C1), F(1.78371725E-03 * C1), + F(3.43256425E-04 * C2), F(1.47640169E-03 * C2), + F(5.54620202E-04 * C3), F(1.13992507E-03 * C3), + -F(8.23919506E-04 * C4), F(0.00000000E+00 * C4), + F(2.10371989E-03 * C5), F(3.49717454E-03 * C5), + F(1.99454554E-03 * C6), F(1.64973098E-03 * C6), + F(1.61656283E-03 * C7), F(1.78805361E-04 * C7), + F(5.65949473E-03 * C0), F(1.29371806E-02 * C0), + F(8.02941163E-03 * C1), F(1.53184106E-02 * C1), + F(1.04584443E-02 * C2), F(1.62208471E-02 * C2), + F(1.27472335E-02 * C3), F(1.59045603E-02 * C3), + -F(1.46525263E-02 * C4), F(0.00000000E+00 * C4), + F(8.85757540E-03 * C5), F(5.31873032E-02 * C5), + F(2.92408442E-03 * C6), F(3.90751381E-02 * C6), + -F(4.91578024E-03 * C7), F(2.61098752E-02 * C7), + F(6.79989431E-02 * C0), F(1.46955068E-01 * C0), + F(8.29847578E-02 * C1), F(1.45389847E-01 * C1), + F(9.75753918E-02 * C2), F(1.40753505E-01 * C2), + F(1.11196689E-01 * C3), F(1.33264415E-01 * C3), + -F(1.23264548E-01 * C4), F(0.00000000E+00 * C4), + F(1.45389847E-01 * C5), -F(8.29847578E-02 * C5), + F(1.40753505E-01 * C6), -F(9.75753918E-02 * C6), + F(1.33264415E-01 * C7), -F(1.11196689E-01 * C7), + -F(6.79989431E-02 * C0), F(1.29371806E-02 * C0), + -F(5.31873032E-02 * C1), F(8.85757540E-03 * C1), + -F(3.90751381E-02 * C2), F(2.92408442E-03 * C2), + -F(2.61098752E-02 * C3), -F(4.91578024E-03 * C3), + F(1.46404076E-02 * C4), F(0.00000000E+00 * C4), + F(1.53184106E-02 * C5), -F(8.02941163E-03 * C5), + F(1.62208471E-02 * C6), -F(1.04584443E-02 * C6), + F(1.59045603E-02 * C7), -F(1.27472335E-02 * C7), + -F(5.65949473E-03 * C0), F(2.01182542E-03 * C0), + -F(3.49717454E-03 * C1), F(2.10371989E-03 * C1), + -F(1.64973098E-03 * C2), F(1.99454554E-03 * C2), + -F(1.78805361E-04 * C3), F(1.61656283E-03 * C3), + -F(9.02154502E-04 * C4), F(0.00000000E+00 * C4), + F(1.78371725E-03 * C5), -F(1.56575398E-04 * C5), + F(1.47640169E-03 * C6), -F(3.43256425E-04 * C6), + F(1.13992507E-03 * C7), -F(5.54620202E-04 * C7), #undef F #define F(x) F_COS8(x) - F(0.7071067812), F(0.8314696123), - -F(0.7071067812), -F(0.1950903220), - -F(0.7071067812), -F(0.9807852804), - F(0.7071067812), -F(0.5555702330), - F(0.7071067812), F(0.5555702330), - -F(0.7071067812), F(0.9807852804), - -F(0.7071067812), F(0.1950903220), - F(0.7071067812), -F(0.8314696123), - F(0.9238795325), F(0.9807852804), - F(0.3826834324), F(0.8314696123), - -F(0.3826834324), F(0.5555702330), - -F(0.9238795325), F(0.1950903220), - -F(0.9238795325), -F(0.1950903220), - -F(0.3826834324), -F(0.5555702330), - F(0.3826834324), -F(0.8314696123), - F(0.9238795325), -F(0.9807852804), - -F(1.0000000000), F(0.5555702330), - -F(1.0000000000), -F(0.9807852804), - -F(1.0000000000), F(0.1950903220), - -F(1.0000000000), F(0.8314696123), - -F(1.0000000000), -F(0.8314696123), - -F(1.0000000000), -F(0.1950903220), - -F(1.0000000000), F(0.9807852804), - -F(1.0000000000), -F(0.5555702330), - F(0.3826834324), F(0.1950903220), - -F(0.9238795325), -F(0.5555702330), - F(0.9238795325), F(0.8314696123), - -F(0.3826834324), -F(0.9807852804), - -F(0.3826834324), F(0.9807852804), - F(0.9238795325), -F(0.8314696123), - -F(0.9238795325), F(0.5555702330), - F(0.3826834324), -F(0.1950903220), + F(0.7071067812 / C0), F(0.8314696123 / C1), + -F(0.7071067812 / C0), -F(0.1950903220 / C1), + -F(0.7071067812 / C0), -F(0.9807852804 / C1), + F(0.7071067812 / C0), -F(0.5555702330 / C1), + F(0.7071067812 / C0), F(0.5555702330 / C1), + -F(0.7071067812 / C0), F(0.9807852804 / C1), + -F(0.7071067812 / C0), F(0.1950903220 / C1), + F(0.7071067812 / C0), -F(0.8314696123 / C1), + F(0.9238795325 / C2), F(0.9807852804 / C3), + F(0.3826834324 / C2), F(0.8314696123 / C3), + -F(0.3826834324 / C2), F(0.5555702330 / C3), + -F(0.9238795325 / C2), F(0.1950903220 / C3), + -F(0.9238795325 / C2), -F(0.1950903220 / C3), + -F(0.3826834324 / C2), -F(0.5555702330 / C3), + F(0.3826834324 / C2), -F(0.8314696123 / C3), + F(0.9238795325 / C2), -F(0.9807852804 / C3), + -F(1.0000000000 / C4), F(0.5555702330 / C5), + -F(1.0000000000 / C4), -F(0.9807852804 / C5), + -F(1.0000000000 / C4), F(0.1950903220 / C5), + -F(1.0000000000 / C4), F(0.8314696123 / C5), + -F(1.0000000000 / C4), -F(0.8314696123 / C5), + -F(1.0000000000 / C4), -F(0.1950903220 / C5), + -F(1.0000000000 / C4), F(0.9807852804 / C5), + -F(1.0000000000 / C4), -F(0.5555702330 / C5), + F(0.3826834324 / C6), F(0.1950903220 / C7), + -F(0.9238795325 / C6), -F(0.5555702330 / C7), + F(0.9238795325 / C6), F(0.8314696123 / C7), + -F(0.3826834324 / C6), -F(0.9807852804 / C7), + -F(0.3826834324 / C6), F(0.9807852804 / C7), + F(0.9238795325 / C6), -F(0.8314696123 / C7), + -F(0.9238795325 / C6), F(0.5555702330 / C7), + F(0.3826834324 / C6), -F(0.1950903220 / C7), #undef F + +#undef C0 +#undef C1 +#undef C2 +#undef C3 +#undef C4 +#undef C5 +#undef C6 +#undef C7 }; static const FIXED_T SBC_ALIGNED analysis_consts_fixed8_simd_odd[80 + 64] = { +#define C0 2.5377944043 +#define C1 2.4270044280 +#define C2 2.8015616024 +#define C3 3.1710363741 +#define C4 2.7906148894 +#define C5 2.4270044280 +#define C6 2.8015616024 +#define C7 3.1710363741 + #define F(x) F_PROTO8(x) - F(0.00000000E+00), -F(8.23919506E-04), - F(1.56575398E-04), F(1.78371725E-03), - F(3.43256425E-04), F(1.47640169E-03), - F(5.54620202E-04), F(1.13992507E-03), - F(2.01182542E-03), F(5.65949473E-03), - F(2.10371989E-03), F(3.49717454E-03), - F(1.99454554E-03), F(1.64973098E-03), - F(1.61656283E-03), F(1.78805361E-04), - F(0.00000000E+00), -F(1.46525263E-02), - F(8.02941163E-03), F(1.53184106E-02), - F(1.04584443E-02), F(1.62208471E-02), - F(1.27472335E-02), F(1.59045603E-02), - F(1.29371806E-02), F(6.79989431E-02), - F(8.85757540E-03), F(5.31873032E-02), - F(2.92408442E-03), F(3.90751381E-02), - -F(4.91578024E-03), F(2.61098752E-02), - F(0.00000000E+00), -F(1.23264548E-01), - F(8.29847578E-02), F(1.45389847E-01), - F(9.75753918E-02), F(1.40753505E-01), - F(1.11196689E-01), F(1.33264415E-01), - F(1.46955068E-01), -F(6.79989431E-02), - F(1.45389847E-01), -F(8.29847578E-02), - F(1.40753505E-01), -F(9.75753918E-02), - F(1.33264415E-01), -F(1.11196689E-01), - F(0.00000000E+00), F(1.46404076E-02), - -F(5.31873032E-02), F(8.85757540E-03), - -F(3.90751381E-02), F(2.92408442E-03), - -F(2.61098752E-02), -F(4.91578024E-03), - F(1.29371806E-02), -F(5.65949473E-03), - F(1.53184106E-02), -F(8.02941163E-03), - F(1.62208471E-02), -F(1.04584443E-02), - F(1.59045603E-02), -F(1.27472335E-02), - F(0.00000000E+00), -F(9.02154502E-04), - -F(3.49717454E-03), F(2.10371989E-03), - -F(1.64973098E-03), F(1.99454554E-03), - -F(1.78805361E-04), F(1.61656283E-03), - F(2.01182542E-03), F(0.00000000E+00), - F(1.78371725E-03), -F(1.56575398E-04), - F(1.47640169E-03), -F(3.43256425E-04), - F(1.13992507E-03), -F(5.54620202E-04), + F(0.00000000E+00 * C0), -F(8.23919506E-04 * C0), + F(1.56575398E-04 * C1), F(1.78371725E-03 * C1), + F(3.43256425E-04 * C2), F(1.47640169E-03 * C2), + F(5.54620202E-04 * C3), F(1.13992507E-03 * C3), + F(2.01182542E-03 * C4), F(5.65949473E-03 * C4), + F(2.10371989E-03 * C5), F(3.49717454E-03 * C5), + F(1.99454554E-03 * C6), F(1.64973098E-03 * C6), + F(1.61656283E-03 * C7), F(1.78805361E-04 * C7), + F(0.00000000E+00 * C0), -F(1.46525263E-02 * C0), + F(8.02941163E-03 * C1), F(1.53184106E-02 * C1), + F(1.04584443E-02 * C2), F(1.62208471E-02 * C2), + F(1.27472335E-02 * C3), F(1.59045603E-02 * C3), + F(1.29371806E-02 * C4), F(6.79989431E-02 * C4), + F(8.85757540E-03 * C5), F(5.31873032E-02 * C5), + F(2.92408442E-03 * C6), F(3.90751381E-02 * C6), + -F(4.91578024E-03 * C7), F(2.61098752E-02 * C7), + F(0.00000000E+00 * C0), -F(1.23264548E-01 * C0), + F(8.29847578E-02 * C1), F(1.45389847E-01 * C1), + F(9.75753918E-02 * C2), F(1.40753505E-01 * C2), + F(1.11196689E-01 * C3), F(1.33264415E-01 * C3), + F(1.46955068E-01 * C4), -F(6.79989431E-02 * C4), + F(1.45389847E-01 * C5), -F(8.29847578E-02 * C5), + F(1.40753505E-01 * C6), -F(9.75753918E-02 * C6), + F(1.33264415E-01 * C7), -F(1.11196689E-01 * C7), + F(0.00000000E+00 * C0), F(1.46404076E-02 * C0), + -F(5.31873032E-02 * C1), F(8.85757540E-03 * C1), + -F(3.90751381E-02 * C2), F(2.92408442E-03 * C2), + -F(2.61098752E-02 * C3), -F(4.91578024E-03 * C3), + F(1.29371806E-02 * C4), -F(5.65949473E-03 * C4), + F(1.53184106E-02 * C5), -F(8.02941163E-03 * C5), + F(1.62208471E-02 * C6), -F(1.04584443E-02 * C6), + F(1.59045603E-02 * C7), -F(1.27472335E-02 * C7), + F(0.00000000E+00 * C0), -F(9.02154502E-04 * C0), + -F(3.49717454E-03 * C1), F(2.10371989E-03 * C1), + -F(1.64973098E-03 * C2), F(1.99454554E-03 * C2), + -F(1.78805361E-04 * C3), F(1.61656283E-03 * C3), + F(2.01182542E-03 * C4), F(0.00000000E+00 * C4), + F(1.78371725E-03 * C5), -F(1.56575398E-04 * C5), + F(1.47640169E-03 * C6), -F(3.43256425E-04 * C6), + F(1.13992507E-03 * C7), -F(5.54620202E-04 * C7), #undef F #define F(x) F_COS8(x) - -F(1.0000000000), F(0.8314696123), - -F(1.0000000000), -F(0.1950903220), - -F(1.0000000000), -F(0.9807852804), - -F(1.0000000000), -F(0.5555702330), - -F(1.0000000000), F(0.5555702330), - -F(1.0000000000), F(0.9807852804), - -F(1.0000000000), F(0.1950903220), - -F(1.0000000000), -F(0.8314696123), - F(0.9238795325), F(0.9807852804), - F(0.3826834324), F(0.8314696123), - -F(0.3826834324), F(0.5555702330), - -F(0.9238795325), F(0.1950903220), - -F(0.9238795325), -F(0.1950903220), - -F(0.3826834324), -F(0.5555702330), - F(0.3826834324), -F(0.8314696123), - F(0.9238795325), -F(0.9807852804), - F(0.7071067812), F(0.5555702330), - -F(0.7071067812), -F(0.9807852804), - -F(0.7071067812), F(0.1950903220), - F(0.7071067812), F(0.8314696123), - F(0.7071067812), -F(0.8314696123), - -F(0.7071067812), -F(0.1950903220), - -F(0.7071067812), F(0.9807852804), - F(0.7071067812), -F(0.5555702330), - F(0.3826834324), F(0.1950903220), - -F(0.9238795325), -F(0.5555702330), - F(0.9238795325), F(0.8314696123), - -F(0.3826834324), -F(0.9807852804), - -F(0.3826834324), F(0.9807852804), - F(0.9238795325), -F(0.8314696123), - -F(0.9238795325), F(0.5555702330), - F(0.3826834324), -F(0.1950903220), + -F(1.0000000000 / C0), F(0.8314696123 / C1), + -F(1.0000000000 / C0), -F(0.1950903220 / C1), + -F(1.0000000000 / C0), -F(0.9807852804 / C1), + -F(1.0000000000 / C0), -F(0.5555702330 / C1), + -F(1.0000000000 / C0), F(0.5555702330 / C1), + -F(1.0000000000 / C0), F(0.9807852804 / C1), + -F(1.0000000000 / C0), F(0.1950903220 / C1), + -F(1.0000000000 / C0), -F(0.8314696123 / C1), + F(0.9238795325 / C2), F(0.9807852804 / C3), + F(0.3826834324 / C2), F(0.8314696123 / C3), + -F(0.3826834324 / C2), F(0.5555702330 / C3), + -F(0.9238795325 / C2), F(0.1950903220 / C3), + -F(0.9238795325 / C2), -F(0.1950903220 / C3), + -F(0.3826834324 / C2), -F(0.5555702330 / C3), + F(0.3826834324 / C2), -F(0.8314696123 / C3), + F(0.9238795325 / C2), -F(0.9807852804 / C3), + F(0.7071067812 / C4), F(0.5555702330 / C5), + -F(0.7071067812 / C4), -F(0.9807852804 / C5), + -F(0.7071067812 / C4), F(0.1950903220 / C5), + F(0.7071067812 / C4), F(0.8314696123 / C5), + F(0.7071067812 / C4), -F(0.8314696123 / C5), + -F(0.7071067812 / C4), -F(0.1950903220 / C5), + -F(0.7071067812 / C4), F(0.9807852804 / C5), + F(0.7071067812 / C4), -F(0.5555702330 / C5), + F(0.3826834324 / C6), F(0.1950903220 / C7), + -F(0.9238795325 / C6), -F(0.5555702330 / C7), + F(0.9238795325 / C6), F(0.8314696123 / C7), + -F(0.3826834324 / C6), -F(0.9807852804 / C7), + -F(0.3826834324 / C6), F(0.9807852804 / C7), + F(0.9238795325 / C6), -F(0.8314696123 / C7), + -F(0.9238795325 / C6), F(0.5555702330 / C7), + F(0.3826834324 / C6), -F(0.1950903220 / C7), #undef F + +#undef C0 +#undef C1 +#undef C2 +#undef C3 +#undef C4 +#undef C5 +#undef C6 +#undef C7 }; |