py/parsenum: Reduce code footprint of mp_parse_num_float.
The mantissa parsing code uses a floating point variable to accumulate digits. Using an `mp_float_uint_t` variable instead and casting to `mp_float_t` at the very end reduces code size. In some cases, it also improves the rounding behaviour as extra digits are taken into account by the int-to-float conversion code. An extra test case handles the special case where mantissa overflow occurs while processing deferred trailing zeros. Signed-off-by: Yoctopuce dev <dev@yoctopuce.com>
This commit is contained in:
committed by
Damien George
parent
50fab08e6b
commit
5fdd249c55
@@ -179,39 +179,40 @@ typedef enum {
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} parse_dec_in_t;
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} parse_dec_in_t;
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#if MICROPY_PY_BUILTINS_FLOAT
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#if MICROPY_PY_BUILTINS_FLOAT
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// DEC_VAL_MAX only needs to be rough and is used to retain precision while not overflowing
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// MANTISSA_MAX is used to retain precision while not overflowing mantissa
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// SMALL_NORMAL_VAL is the smallest power of 10 that is still a normal float
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// SMALL_NORMAL_VAL is the smallest power of 10 that is still a normal float
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// EXACT_POWER_OF_10 is the largest value of x so that 10^x can be stored exactly in a float
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// EXACT_POWER_OF_10 is the largest value of x so that 10^x can be stored exactly in a float
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// Note: EXACT_POWER_OF_10 is at least floor(log_5(2^mantissa_length)). Indeed, 10^n = 2^n * 5^n
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// Note: EXACT_POWER_OF_10 is at least floor(log_5(2^mantissa_length)). Indeed, 10^n = 2^n * 5^n
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// so we only have to store the 5^n part in the mantissa (the 2^n part will go into the float's
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// so we only have to store the 5^n part in the mantissa (the 2^n part will go into the float's
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// exponent).
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// exponent).
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#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
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#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
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#define DEC_VAL_MAX 1e20F
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#define MANTISSA_MAX 0x19999998U
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#define SMALL_NORMAL_VAL (1e-37F)
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#define SMALL_NORMAL_VAL (1e-37F)
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#define SMALL_NORMAL_EXP (-37)
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#define SMALL_NORMAL_EXP (-37)
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#define EXACT_POWER_OF_10 (9)
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#define EXACT_POWER_OF_10 (9)
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#elif MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_DOUBLE
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#elif MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_DOUBLE
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#define DEC_VAL_MAX 1e200
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#define MANTISSA_MAX 0x1999999999999998ULL
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#define SMALL_NORMAL_VAL (1e-307)
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#define SMALL_NORMAL_VAL (1e-307)
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#define SMALL_NORMAL_EXP (-307)
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#define SMALL_NORMAL_EXP (-307)
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#define EXACT_POWER_OF_10 (22)
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#define EXACT_POWER_OF_10 (22)
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#endif
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#endif
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// Break out inner digit accumulation routine to ease trailing zero deferral.
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// Break out inner digit accumulation routine to ease trailing zero deferral.
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static void accept_digit(mp_float_t *p_dec_val, int dig, int *p_exp_extra, int in) {
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static mp_float_uint_t accept_digit(mp_float_uint_t p_mantissa, unsigned int dig, int *p_exp_extra, int in) {
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// Core routine to ingest an additional digit.
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// Core routine to ingest an additional digit.
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if (*p_dec_val < DEC_VAL_MAX) {
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if (p_mantissa < MANTISSA_MAX) {
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// dec_val won't overflow so keep accumulating
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// dec_val won't overflow so keep accumulating
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*p_dec_val = 10 * *p_dec_val + dig;
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if (in == PARSE_DEC_IN_FRAC) {
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if (in == PARSE_DEC_IN_FRAC) {
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--(*p_exp_extra);
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--(*p_exp_extra);
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}
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}
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return 10u * p_mantissa + dig;
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} else {
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} else {
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// dec_val might overflow and we anyway can't represent more digits
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// dec_val might overflow and we anyway can't represent more digits
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// of precision, so ignore the digit and just adjust the exponent
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// of precision, so ignore the digit and just adjust the exponent
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if (in == PARSE_DEC_IN_INTG) {
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if (in == PARSE_DEC_IN_INTG) {
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++(*p_exp_extra);
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++(*p_exp_extra);
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}
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}
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return p_mantissa;
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}
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}
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}
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}
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#endif // MICROPY_PY_BUILTINS_FLOAT
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#endif // MICROPY_PY_BUILTINS_FLOAT
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@@ -273,6 +274,7 @@ parse_start:
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// string should be a decimal number
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// string should be a decimal number
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parse_dec_in_t in = PARSE_DEC_IN_INTG;
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parse_dec_in_t in = PARSE_DEC_IN_INTG;
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bool exp_neg = false;
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bool exp_neg = false;
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mp_float_uint_t mantissa = 0;
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int exp_val = 0;
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int exp_val = 0;
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int exp_extra = 0;
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int exp_extra = 0;
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int trailing_zeros_intg = 0, trailing_zeros_frac = 0;
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int trailing_zeros_intg = 0, trailing_zeros_frac = 0;
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@@ -288,9 +290,9 @@ parse_start:
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exp_val = 10 * exp_val + dig;
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exp_val = 10 * exp_val + dig;
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}
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}
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} else {
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} else {
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if (dig == 0 || dec_val >= DEC_VAL_MAX) {
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if (dig == 0 || mantissa >= MANTISSA_MAX) {
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// Defer treatment of zeros in fractional part. If nothing comes afterwards, ignore them.
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// Defer treatment of zeros in fractional part. If nothing comes afterwards, ignore them.
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// Also, once we reach DEC_VAL_MAX, treat every additional digit as a trailing zero.
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// Also, once we reach MANTISSA_MAX, treat every additional digit as a trailing zero.
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if (in == PARSE_DEC_IN_INTG) {
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if (in == PARSE_DEC_IN_INTG) {
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++trailing_zeros_intg;
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++trailing_zeros_intg;
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} else {
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} else {
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@@ -299,14 +301,14 @@ parse_start:
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} else {
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} else {
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// Time to un-defer any trailing zeros. Intg zeros first.
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// Time to un-defer any trailing zeros. Intg zeros first.
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while (trailing_zeros_intg) {
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while (trailing_zeros_intg) {
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accept_digit(&dec_val, 0, &exp_extra, PARSE_DEC_IN_INTG);
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mantissa = accept_digit(mantissa, 0, &exp_extra, PARSE_DEC_IN_INTG);
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--trailing_zeros_intg;
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--trailing_zeros_intg;
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}
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}
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while (trailing_zeros_frac) {
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while (trailing_zeros_frac) {
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accept_digit(&dec_val, 0, &exp_extra, PARSE_DEC_IN_FRAC);
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mantissa = accept_digit(mantissa, 0, &exp_extra, PARSE_DEC_IN_FRAC);
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--trailing_zeros_frac;
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--trailing_zeros_frac;
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}
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}
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accept_digit(&dec_val, dig, &exp_extra, in);
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mantissa = accept_digit(mantissa, dig, &exp_extra, in);
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}
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}
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}
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}
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} else if (in == PARSE_DEC_IN_INTG && dig == '.') {
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} else if (in == PARSE_DEC_IN_INTG && dig == '.') {
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@@ -340,6 +342,7 @@ parse_start:
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// apply the exponent, making sure it's not a subnormal value
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// apply the exponent, making sure it's not a subnormal value
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exp_val += exp_extra + trailing_zeros_intg;
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exp_val += exp_extra + trailing_zeros_intg;
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dec_val = (mp_float_t)mantissa;
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if (exp_val < SMALL_NORMAL_EXP) {
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if (exp_val < SMALL_NORMAL_EXP) {
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exp_val -= SMALL_NORMAL_EXP;
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exp_val -= SMALL_NORMAL_EXP;
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dec_val *= SMALL_NORMAL_VAL;
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dec_val *= SMALL_NORMAL_VAL;
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@@ -31,6 +31,9 @@ print(float("1e-4294967301"))
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print(float("1e18446744073709551621"))
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print(float("1e18446744073709551621"))
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print(float("1e-18446744073709551621"))
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print(float("1e-18446744073709551621"))
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# mantissa overflow while processing deferred trailing zeros
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print(float("10000000000000000000001"))
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# check small decimals are as close to their true value as possible
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# check small decimals are as close to their true value as possible
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for n in range(1, 10):
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for n in range(1, 10):
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print(float("0.%u" % n) == n / 10)
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print(float("0.%u" % n) == n / 10)
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