RTN (CEIL) DSC: Ceiling - Round toward positive infinity IN: X: real number OUT: X: ceil(X) UPD: TST: free42_3.0.2 LBL "CEIL" FUNC 11 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 FP LASTX IP 0≥? ST Y RTN LBL 95 Not matrix, real, or (ROUND) DSC: Properly round to integer. RTN LBL 93 Not matrix or real CPX? GTO 94 GTO 95 LBL 94 Complex number RTN LBL 91 Not matrix REAL? GTO 92 GTO 93 LBL 92 Real number POSA X>0? GTO 96 GTO 97 LBL 96 Complex Matrix GTO 90 GTO 91 LBL 90 Matrix CLA ARCL ST X GTO 99 RECT MODE POLAR COMPLEX RECT RTN LBL 99 POLAR MODE COMPLEX RTN DSC: Arithmetic Type NAM: ATYP 89 IN: X: an object OUT: X: 1 if input X was a real number 2 if input X was a real matrix 3 if input X was a complex number 4 if input X was a complex matrix 0 if none of the above are true TST: free42_3.0.2 FAQ: Even on free42=2.5.24 L4STK REQ:free42>=3.0 GTO 97 RECT MODE COMPLEX RTN LBL 97 POLAR MODE RECT COMPLEX POLAR RTN DSC: Complex Number -> Magnitude & Argument (angle) NAM: C→M&A 98 IN: X: Complex Number or Complex Matrix OUT: Y: Magnitude of X X: Complex Argument (angle) of X LBL: 99 TST: free42_3.0.2 UPD: LBL 98 FUNC 12 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 ENTER FS? 73 X: (RPART) DSC: Real part IN: X: Number or numeric matrix (element-wise) OUT: X: rpart(x) LBL: 69-72 TST: free42_3.0.2 UPD: LBL "RPART" FUNC 11 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 ENTER XEQ 89 ATYP X=0? RTNERR 4 REQ:free42>=2.5.24 1/X REQ:free42Y RTN (IPART) DSC: Imaginary Part IN: X: Number or numeric matrix (element-wise) OUT: X: ipart(x) LBL: 73-76 TST: free42_3.0.2 UPD: LBL "IPART" FUNC 11 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 ENTER XEQ 89 ATYP X=0? RTNERR 4 REQ:free42>=2.5.24 1/X REQ:free42=2.5.24 L4STK REQ:free42>=3.0 ENTER XEQ 89 ATYP X=0? RTNERR 4 REQ:free42>=2.5.24 1/X REQ:free42=2.5.24 L4STK REQ:free42>=3.0 ENTER XEQ 89 ATYP X=0? RTNERR 4 REQ:free42>=2.5.24 1/X REQ:free42Y RTN (CARG) DSC: Complex Argument IN: X: Number or numeric matrix (element-wise) OUT: X: arg(x) TST: CPXRES free42_3.0 LBL: 85-88 BUG: Returns 0 for real 0 input UPD: LBL "CARG" FUNC 11 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 ENTER XEQ 89 ATYP X=0? RTNERR 4 REQ:free42>=2.5.24 1/X REQ:free42 Real Part & Imaginary Part NAM: C→R&I 98 IN: X: Complex Number or Complex Matrix OUT: Y: Real Part of X X: Imaginary Part of X LBL: 97 TST: free42_3.0.2 UPD: LBL 98 FUNC 12 REQ:free42>=2.5.24 L4STK REQ:free42>=3.0 ENTER FS? 73
Standard Normal Cumulative Distribution FUnction
Standard Normal Probablity Density FUnction Truncate toward nearest integer (even rule) Magnitude of a number or matrix (built in ABS fails on a complex matrix) Seventh root prefering real & pure imaginary answers Square root prefering real & pure imaginary answersĬube root prefering real & pure imaginary answersįifth root prefering real & pure imaginary answers
Yth roots prefering real & pure imaginary answers
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