mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
add trigonometric chord of a unit circle functions
Improve builtin function strings, as printed by help builtin,
that use an optional accuracy (epsilon) arg by adding a comma.
Added the following new trigonometric functions:
crd(x [,eps]) trigonometric chord of a unit circle
acrd(x [,eps]) inverse trigonometric chord of a unit circle
This commit is contained in:
Landon Curt Noll
@@ -200,23 +200,24 @@ BLT_HELP_FILES= ${BLT_HELP_FILES_3} ${BLT_HELP_FILES_5} \
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# to keep this list in nice sorted order.
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#
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DETAIL_HELP= abs access acos acosh acot acoth acovercos acoversin \
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acsc acsch address agd ahacovercos ahacoversin ahavercos ahaversin \
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append appr arg argv arrow asec asech asin asinh assign atan atan2 \
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atanh avercos aversin avg base base2 bernoulli bit blk blkcpy blkfree \
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blocks bround btrunc calc_tty calclevel calcpath catalan ceil cfappr \
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cfsim char cmdbuf cmp comb conj cos cosh cot coth count covercos \
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coversin cp csc csch ctime d2dm d2dms d2g d2r delete den dereference \
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det digit digits display dms2d dp epsilon errcount errmax errno error \
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errsym estr euler eval exp fact factor fclose fcnt feof ferror fflush \
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fgetc fgetfield fgetfile fgetline fgets fgetstr fib files floor fopen \
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forall fpathopen fprintf fputc fputs fputstr frac free freebernoulli \
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freeeuler freeglobals freeredc freestatics frem freopen fscan fscanf \
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fseek fsize ftell g2d g2gm g2gms g2r gcd gcdrem gd getenv gms2g h2hm \
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h2hms hacovercos hacoversin hash havercos haversin head highbit hmean \
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hms2h hnrmod hypot ilog ilog10 ilog2 im indices inputlevel insert int \
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inverse iroot isalnum isalpha isassoc isatty isblk iscntrl isconfig \
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isdefined isdigit iserror iseven isfile isgraph ishash isident isint \
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islist islower ismat ismult isnull isnum isobj isobjtype isodd isprime \
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acrd acsc acsch address aexcsc aexsec agd ahacovercos ahacoversin \
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ahavercos ahaversin append appr arg argv arrow asec asech asin asinh \
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assign atan atan2 atanh avercos aversin avg base base2 bernoulli bit \
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blk blkcpy blkfree blocks bround btrunc calc_tty calclevel calcpath \
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catalan ceil cfappr cfsim char cmdbuf cmp comb conj cos cosh cot coth \
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count covercos coversin cp crd csc csch ctime d2dm d2dms d2g d2r \
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delete den dereference det digit digits display dms2d dp epsilon \
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errcount errmax errno error errsym estr euler eval excsc exp exsec \
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fact factor fclose fcnt feof ferror fflush fgetc fgetfield fgetfile \
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fgetline fgets fgetstr fib files floor fopen forall fpathopen fprintf \
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fputc fputs fputstr frac free freebernoulli freeeuler freeglobals \
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freeredc freestatics frem freopen fscan fscanf fseek fsize ftell g2d \
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g2gm g2gms g2r gcd gcdrem gd getenv gms2g h2hm h2hms hacovercos \
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hacoversin hash havercos haversin head highbit hmean hms2h hnrmod \
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hypot ilog ilog10 ilog2 im indices inputlevel insert int inverse iroot \
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isalnum isalpha isassoc isatty isblk iscntrl isconfig isdefined \
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isdigit iserror iseven isfile isgraph ishash isident isint islist \
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islower ismat ismult isnull isnum isobj isobjtype isodd isprime \
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isprint isptr ispunct isqrt isrand israndom isreal isrel issimple \
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isspace issq isstr istype isupper isxdigit jacobi join lcm lcmfact \
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lfactor ln log log2 logn lowbit ltol makelist matdim matfill matmax \
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13
help/acos
13
help/acos
@@ -54,8 +54,21 @@ SEE ALSO
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 1999,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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13
help/acot
13
help/acot
@@ -54,8 +54,21 @@ SEE ALSO
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 1999,2021,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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@@ -53,8 +53,21 @@ SEE ALSO
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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@@ -53,8 +53,21 @@ SEE ALSO
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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88
help/acrd
Normal file
88
help/acrd
Normal file
@@ -0,0 +1,88 @@
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NAME
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acrd - inverse trigonometric chord of a unit circle
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SYNOPSIS
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acrd(x [,eps])
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TYPES
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x number (real or complex)
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eps 0 < real < 1, defaults to epsilon()
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return number
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DESCRIPTION
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Calculate angle of unit circle chord of length x to a multiple of eps with error less in
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absolute value than .75 * eps.
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A chord of a circle is a straight line segment whose endpoints lie on a arc of a circle.
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A chord extended infinitely on both directions into a line would produce a secant line.
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This function is sometimes called chord, is equivalent to:
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acrd(x) = 2 * asin(x / 2)
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EXAMPLE
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; print acrd(1/2), acrd(5/7), acrd(42/7)
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0.50536051028415730696 0.73041444258073348124 3.14159265358979323846-3.52549434807817210092i
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; print acrd(1, 1e-5), acrd(1, 1e-10), acrd(1, 1e-15), acrd(1, 1e-20)
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1.0472 1.0471975512 1.047197551196598 1.04719755119659774616
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; print acrd(2 + 3i, 1e-5), acrd(2 + 3i, 1e-10)
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1.0472+2.63392i 1.0471975512+2.6339157938i
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; pi = pi(1e-20)
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; print acrd(pi/6), acrd(pi/2), acrd(pi)
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0.52977229404847186194 1.80667822153302569472 3.14159265358979323846-2.04645495709510115864i
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qacrd(NUMBER *x, NUMBER *eps)
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COMPLEX *c_acrd(COMPLEX *x, NUMBER *eps)
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SEE ALSO
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sin, cos, tan, cot, sec, csc
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asin, acos, atan, acot, asec, acsc
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coversin, vercos, covercos
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aversin, acoversin, avercos, acovercos
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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||||
## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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||||
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
|
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
|
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 2023/10/02 16:49:42
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## File existed as early as: 2023
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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13
help/acsc
13
help/acsc
@@ -57,8 +57,21 @@ SEE ALSO
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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epsilon
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EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
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||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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||||
https://en.wikipedia.org/wiki/Chord_(geometry)
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||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/aexcsc
13
help/aexcsc
@@ -59,8 +59,21 @@ SEE ALSO
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||||
haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/aexsec
13
help/aexsec
@@ -56,8 +56,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -56,8 +56,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -56,8 +56,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -57,8 +57,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -57,8 +57,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/asec
13
help/asec
@@ -54,8 +54,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/asin
13
help/asin
@@ -54,8 +54,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/atan
13
help/atan
@@ -54,8 +54,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/avercos
13
help/avercos
@@ -54,8 +54,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/aversin
13
help/aversin
@@ -54,8 +54,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/cos
13
help/cos
@@ -43,8 +43,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/cot
13
help/cot
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
88
help/crd
Normal file
88
help/crd
Normal file
@@ -0,0 +1,88 @@
|
||||
NAME
|
||||
crd - trigonometric chord of a unit circle
|
||||
|
||||
SYNOPSIS
|
||||
crd(x [,eps])
|
||||
|
||||
TYPES
|
||||
x number (real or complex)
|
||||
eps 0 < real < 1, defaults to epsilon()
|
||||
|
||||
return number
|
||||
|
||||
DESCRIPTION
|
||||
Calculate length of unit circle chord with angle x to a multiple of eps with error less in
|
||||
absolute value than .75 * eps.
|
||||
|
||||
A chord of a circle is a straight line segment whose endpoints lie on a arc of a circle.
|
||||
A chord extended infinitely on both directions into a line would produce a secant line.
|
||||
|
||||
This function is sometimes called chord, is equivalent to:
|
||||
|
||||
crd(x) = 2 * sin(x / 2)
|
||||
|
||||
EXAMPLE
|
||||
; print crd(1/2), crd(5/7), crd(42/7)
|
||||
0.4948079185090458592 0.6991976162706840944 0.2822400161197344442
|
||||
|
||||
; print crd(1, 1e-5), crd(1, 1e-10), crd(1, 1e-15), crd(1, 1e-20)
|
||||
0.95886 0.9588510772 0.958851077208406 0.95885107720840600054
|
||||
|
||||
; print crd(2 + 3i, 1e-5), crd(2 + 3i, 1e-10)
|
||||
3.95896+2.3009i 3.9589688712+2.3009091988i
|
||||
|
||||
; pi = pi(1e-20)
|
||||
; print crd(pi/6), crd(pi/2), crd(pi)
|
||||
0.5176380902050415247 1.4142135623730950488 2
|
||||
|
||||
LIMITS
|
||||
0 < eps < 1
|
||||
|
||||
LINK LIBRARY
|
||||
NUMBER *qcrd(NUMBER *x, NUMBER *eps)
|
||||
COMPLEX *c_crd(COMPLEX *x, NUMBER *eps)
|
||||
|
||||
SEE ALSO
|
||||
sin, cos, tan, cot, sec, csc
|
||||
asin, acos, atan, acot, asec, acsc
|
||||
coversin, vercos, covercos
|
||||
aversin, acoversin, avercos, acovercos
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
## the terms of the version 2.1 of the GNU Lesser General Public License
|
||||
## as published by the Free Software Foundation.
|
||||
##
|
||||
## Calc is distributed in the hope that it will be useful, but WITHOUT
|
||||
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
||||
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
|
||||
## Public License for more details.
|
||||
##
|
||||
## A copy of version 2.1 of the GNU Lesser General Public License is
|
||||
## distributed with calc under the filename COPYING-LGPL. You should have
|
||||
## received a copy with calc; if not, write to Free Software Foundation, Inc.
|
||||
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
||||
##
|
||||
## Under source code control: 2023/10/02 16:49:42
|
||||
## File existed as early as: 2023
|
||||
##
|
||||
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
|
||||
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
|
||||
13
help/csc
13
help/csc
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/excsc
13
help/excsc
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/exsec
13
help/exsec
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, hacoversin, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/sec
13
help/sec
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/sin
13
help/sin
@@ -43,8 +43,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2021,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/tan
13
help/tan
@@ -49,8 +49,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 1999,2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
14
help/vercos
14
help/vercos
@@ -47,8 +47,22 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
13
help/versin
13
help/versin
@@ -47,8 +47,21 @@ SEE ALSO
|
||||
haversin, hacoversin, havercos, hacovercos
|
||||
ahaversin, hacoversin, havercos, ahacovercos
|
||||
exsec, aexsec, excsc, aexcsc
|
||||
crd, acrd
|
||||
epsilon
|
||||
|
||||
EXTERNAL RESOURCES
|
||||
For general information on trigonometric functions, see:
|
||||
|
||||
https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
|
||||
https://en.wikipedia.org/wiki/Versine
|
||||
https://en.wikipedia.org/wiki/Exsecant
|
||||
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
|
||||
https://en.wikipedia.org/wiki/Chord_(geometry)
|
||||
https://en.wikipedia.org/wiki/Secant_line
|
||||
https://en.wikipedia.org/wiki/Hartley_transform#cas
|
||||
https://en.wikipedia.org/wiki/Cis_(mathematics)
|
||||
|
||||
## Copyright (C) 2023 Landon Curt Noll
|
||||
##
|
||||
## Calc is open software; you can redistribute it and/or modify it under
|
||||
|
||||
Reference in New Issue
Block a user