Merge pull request #742 in FS/freeswitch from ~PIOTRGREGOR/freeswitch:bugfix/FS-8853-enable-change-of-resolution-and-size-2 to master
* commit 'da7be641bac16dbe5575c0f266a10d1819ab0026': FS-8853 enable change of resolution of fast arc cos table
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commit
000fdbd2d8
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@ -22,41 +22,71 @@
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#ifdef FASTMATH
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#define SIGN_MASK (0x80000000)
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#define DATA_MASK (0x07FFFFF8)
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#define SIGN_UNPACK_MASK (0x01000000)
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#define DATA_UNPACK_MASK (0x00FFFFFF)
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#define VARIA_DATA_MASK (0x87FFFFF8)
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#define CONST_DATA_MASK (0x38000000)
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#define ACOS_TABLE_LENGTH (1 << 25)
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#define ACOS_TABLE_FILENAME "/tmp/acos_table.dat"
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typedef union {
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uint32_t i;
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float f;
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} float_conv_t;
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#ifdef FAST_ACOSF_TESTING
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static float strip_float(float f);
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#endif
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/*
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* Manipulate these parameters to change
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* mapping's resolution. The sine tone
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* of 1600Hz is detected even with 20
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* bits discarded in float integer representation
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* with only slightly increased amount of false
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* positives (keeping variance threshold on 0.0001).
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* 12 bits seem to be good choice when there is
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* a need to compute faster and/or decrease mapped file
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* size on disk while keeping false positives low.
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*/
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#define ACOS_TABLE_CONST_EXPONENT (0x70)
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#define ACOS_TABLE_CONST_EXPONENT_BITS (3)
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#define ACOS_TABLE_DISCARDED_BITS (3)
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/* rosolution:
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3: 15 728 640 indices spreading range [0.0, 1.0], table size on disk 134 217 728 bytes (default)
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4: 7 364 320 indices spreading range [0.0, 1.0], table size on disk 67 108 864 bytes
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5: 3 932 160 indices spreading range [0.0, 1.0], table size on disk 33 554 432 bytes
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12: 30 720 indices spreading range [0.0, 1.0], table size on disk 262 144 bytes
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16: 1 920 indices spreading range [0.0, 1.0], table size on disk 16 384 bytes
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20: 120 indices spreading range [0.0, 1.0], table size on disk 1 024 bytes
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24: 7 indices spreading range [0.0, 1.0], table size on disk 64 bytes
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26: 1 indices spreading range [0.0, 1.0], table size on disk 16 bytes
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*/
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#define ACOS_TABLE_FREE_EXPONENT_BITS (7 - ACOS_TABLE_CONST_EXPONENT_BITS)
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#define ACOS_TABLE_DATA_BITS (31 - ACOS_TABLE_CONST_EXPONENT_BITS - ACOS_TABLE_DISCARDED_BITS)
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#define ACOS_TABLE_LENGTH (1 << (31 - ACOS_TABLE_CONST_EXPONENT_BITS - ACOS_TABLE_DISCARDED_BITS))
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#define VARIA_DATA_MASK (0x87FFFFFF & ~((1 << ACOS_TABLE_DISCARDED_BITS) - 1))
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#define CONST_DATA_MASK (((1 << ACOS_TABLE_CONST_EXPONENT_BITS) - 1) \
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<< (ACOS_TABLE_DATA_BITS - 1 + ACOS_TABLE_DISCARDED_BITS))
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#define SIGN_UNPACK_MASK (1 << (ACOS_TABLE_DATA_BITS - 1))
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#define DATA_UNPACK_MASK ((1 << (ACOS_TABLE_DATA_BITS - 1)) - 1)
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#define SIGN_MASK (0x80000000)
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#define DATA_MASK (DATA_UNPACK_MASK << ACOS_TABLE_DISCARDED_BITS)
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#define ACOS_TABLE_FILENAME "/tmp/acos_table.dat"
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static uint32_t index_from_float(float f);
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static float float_from_index(uint32_t d);
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static float *acos_table = NULL;
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static int acos_fd = -1;
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#ifdef FAST_ACOSF_TESTING
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static float strip_float(float f)
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{
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float_conv_t d;
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d.i = d.i & (VARIA_DATA_MASK | CONST_DATA_MASK);
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#define INF(x) printf("[%s] [%u]\n", #x, x)
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#define INFX(x) printf("[%s] [%08x]\n", #x, x)
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static void
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debug_print(void);
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static void
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dump_table_summary(void);
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#endif /* FAST_ACOSF_TESTING */
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return d.i;
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}
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#endif
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extern int compute_table(void)
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{
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@ -153,23 +183,138 @@ extern float fast_acosf(float x)
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return acos_table[index_from_float(x)];
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}
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static uint32_t index_from_float(float f)
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{
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float_conv_t d;
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d.f = f;
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return ((d.i & SIGN_MASK) >> 7) | ((d.i & DATA_MASK) >> 3);
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return ((d.i & SIGN_MASK) >> (32 - ACOS_TABLE_DATA_BITS)) |
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((d.i & DATA_MASK) >> ACOS_TABLE_DISCARDED_BITS);
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}
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static float float_from_index(uint32_t d)
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{
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float_conv_t f;
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f.i = ((d & SIGN_UNPACK_MASK) << 7) | ((d & DATA_UNPACK_MASK) << 3) | CONST_DATA_MASK;
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f.i = ((d & SIGN_UNPACK_MASK) << (32 - ACOS_TABLE_DATA_BITS)) |
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((d & DATA_UNPACK_MASK) << ACOS_TABLE_DISCARDED_BITS) | CONST_DATA_MASK;
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return f.f;
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}
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#ifdef FAST_ACOSF_TESTING
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#define INF(x) printf("[%s] [%u]\n", #x, x)
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#define INFX(x) printf("[%s] [%08x]\n", #x, x)
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static void
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debug_print(void)
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{
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INF(ACOS_TABLE_CONST_EXPONENT);
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INF(ACOS_TABLE_CONST_EXPONENT_BITS);
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INF(ACOS_TABLE_FREE_EXPONENT_BITS);
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INF(ACOS_TABLE_DISCARDED_BITS);
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INF(ACOS_TABLE_DATA_BITS);
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INF(ACOS_TABLE_LENGTH);
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INFX(VARIA_DATA_MASK);
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INFX(CONST_DATA_MASK);
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INFX(SIGN_UNPACK_MASK);
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INFX(DATA_UNPACK_MASK);
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INFX(SIGN_MASK);
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INFX(DATA_MASK);
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}
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static void
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dump_table_summary(void)
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{
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uint32_t i, i_0, i_1, di;
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float f;
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i = 1;
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i_0 = index_from_float(0.0);
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i_1 = index_from_float(1.0);
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di = (i_1 - i_0)/100;
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if (di == 0) di = 1;
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for (; i < ACOS_TABLE_LENGTH; i += di )
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{
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f = float_from_index(i);
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printf("-01i[%.10u] : ffi[%f] fa[%f] acos[%f]\n",
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i, f, fast_acosf(f), acos(f));
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}
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i = 1;
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for (; i < ACOS_TABLE_LENGTH; i = (i << 1))
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{
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f = fast_acosf(float_from_index(i));
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printf("--i[%.10u] : fa[%f] ffi[%f]\n",
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i, f, float_from_index(i));
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}
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f = 0.0;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.1;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.2;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.3;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.4;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.5;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.6;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.7;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 7.5;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.8;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.9;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.95;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.99;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 1.0;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 1.1;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 1.2;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = 0.0;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.1;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.2;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.3;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.4;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.5;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.6;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.7;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -7.5;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.8;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.9;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.95;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -0.99;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -1.0;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -1.1;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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f = -1.2;
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printf("i [%d] from float [%f]\n", index_from_float(f), f);
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}
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#endif /* FAST_ACOSF_TESTING */
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#endif
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