PHP uses built-in functions to manipulate math and engineering problems through mathematical extension. These math functions will only handle values within the range of the integer and float types on your computer corresponding currently to the C type. For arbitrary precision mathematics, PHP offers the Binary Calculator which supports numbers of any size and precision, represented as strings.

Some mathematical extensions are:

BC Math

The BC Math deals with the arbitrary precision mathematics. Some mathematical functions are:

• bccomp — Compare two arbitrary precision numbers
• bcdiv — Divide two arbitrary precision numbers
• bcmod — Get modulus of an arbitrary precision number
• bcmul — Multiply two arbitrary precision numbers
• bcpow — Raise an arbitrary precision number to another
• bcpowmod — Raise an arbitrary precision number to another, reduced by a specified modulus
• bcscale — Set default scale parameter for all bc math functions
• bcsqrt — Get the square root of an arbitrary precision number
• bcsub — Subtract one arbitrary precision number from another

Math

The Math handles values within the range of the integer and float types. Functions include:

• abs — Absolute value
• acos — Arc cosine
• acosh — Inverse hyperbolic cosine
• asin — Arc sine
• asinh — Inverse hyperbolic sine
• atan2 — Arc tangent of two variables
• atan — Arc tangent
• atanh — Inverse hyperbolic tangent
• base_convert — Convert a number between arbitrary bases
• bindec — Binary to decimal
• ceil — Round fractions up
• cos — Cosine
• cosh — Hyperbolic cosine
• decbin — Decimal to binary
• dechex — Decimal to hexadecimal
• decoct — Decimal to octal
• deg2rad — Converts the number in degrees to the radian equivalent
• exp — Calculates the exponent of e
• expm1 — Returns exp(number) - 1, computed in a way that is accurate even when the value of number is close to zero
• pi — Get value of pi
• pow — Exponential expression
• rad2deg — Converts the radian number to the equivalent number in degrees
• rand — Generate a random integer
• round — Rounds a float
• sin — Sine
• sinh — Hyperbolic sine
• sqrt — Square root
• srand — Seed the random number generator
• tan — Tangent
• tanh — Hyperbolic tangent

Statistics

The Statistics contains few dozens of functions useful for statistical computations. It is a wrapper around 2 scientific libraries, namely DCDFLIB (Library of C routines for Cumulative Distributions Functions, Inverses, and Other parameters) by B. Brown & J. Lavato and RANDLIB by Barry Brown, James Lavato & Kathy Russell. Includes CD and PD functions:

• stats_absolute_deviation — Returns the absolute deviation of an array of values
• stats_cdf_beta — CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others.
• stats_cdf_binomial — Calculates any one parameter of the binomial distribution given values for the others.
• stats_cdf_cauchy — Not documented
• stats_cdf_chisquare — Calculates any one parameter of the chi-square distribution given values for the others.
• stats_cdf_exponential — Not documented
• stats_cdf_f — Calculates any one parameter of the F distribution given values for the others.
• stats_cdf_gamma — Calculates any one parameter of the gamma distribution given values for the others.
• stats_cdf_laplace — Not documented
• stats_cdf_logistic — Not documented
• stats_cdf_negative_binomial — Calculates any one parameter of the negative binomial distribution given values for the others.
• stats_cdf_noncentral_chisquare — Calculates any one parameter of the non-central chi-square distribution given values for the others.
• stats_cdf_noncentral_f — Calculates any one parameter of the Non-central F distribution given values for the others.
• stats_cdf_poisson — Calculates any one parameter of the Poisson distribution given values for the others.
• stats_cdf_t — Calculates any one parameter of the T distribution given values for the others.
• stats_cdf_uniform — Not documented

The Trader extension is a free open source stock library based on TA-Lib. It's dedicated to trading software developers requiring to perform technical analysis of financial market data. Alongside many indicators like ADX, MACD, RSI, Stochastic, TRIX the candlestick pattern recognition and several vector arithmetic and algebraic functions are present:

• trader_acos — Vector Trigonometric ACos
• trader_apo — Absolute Price Oscillator
• trader_asin — Vector Trigonometric ASin
• trader_atan — Vector Trigonometric ATan
• trader_atr — Average True Range
• trader_bop — Balance Of Power
• trader_cci — Commodity Channel Index
• trader_cdl3blackcrows — Three Black Crows
• trader_cdl3inside — Three Inside Up/Down