4 ms·

Well it passes the sin(x)sin(y)sin(z)>0.1 test Edit: also sin(x)sin(y)sin(z)+0.1sin(10x)sin(10y)sin(10z)>0.1 https://www.desmos.com/3d/85d41ad6c6 https://www.

Well it passes the sin(x)sin(y)sin(z)>0.1 test Edit: also sin(x)sin(y)sin(z)+0.1sin(10x)sin(10y)sin(10z)>0.1 https://www.desmos.com/3d/85d41ad6c6 https://www.desmos.com/3d/85d41ad6c6

westurner 3y ago
ENH: desmos [3d]: Support complex exponents; with i and/or a complex() function Test equations for geogebra: equation -- what I think it looks like xi^2 -- Integer coordinate grid e^xπi -- Unit circle with another little circle also about the origin (0,0) e^(πi^x) -- crash / not responding: a(x)=e^(πi^(x)) though it seems to work with x in Z+ e**(x*pi*I) e^(x π i^π) -- somewhat scale-invariant interposed spirals around a single point attractor. (Zoom in/out) Only SageMath preprocesses Python to replace XOR (^) with exp() or **, so: f(x) = x^2 g(x) = x**2 # Python h(x) = exp(x, 2) x**2 # SymPy Gamma, Beta x**math.pi # Python: 3.141592653589793 x**pi # SymPy: π x**1j # Python x**I # SymPy x**(1+I) # BUG/ENH: Plot complex expressions with SymPy import sympy as sy display(sy.E, sy.I, sy.pi) from sympy import E, pi, I x,y = sy.symbols('x,y', real=True); display(x,y) eq01 = sy.Eq(y, E**(x*pi*I)); display(eq01) eq02 = sy.Rel(y, E**(x*pi*I), '=='); display(eq02) func01 = sy.Function('f')(E**(x*pi*I)); display(func01) func02 = sy.Function('f')(eq02.rhs); display(func02) assert eq01 == eq01 assert func01 == func02 import unittest test = unittest.TestCase() test.assertEqual(eq01, eq02) test.assertEqual(func01, func02) Sympy Gamma: https://gamma.sympy.org/ https://gamma.sympy.org/ Sympy Beta is SymPy Gamma compiled to WASM: https://github.com/eagleoflqj/sympy_beta https://github.com/eagleoflqj/sympy_beta What methods for visualizing complex coordinate(s) are helpful? You can map the complex coordinate into e.g. the z-axis; or is complex phase - as is necessary to model [qubit] wave functions psi - just another high-dimensional dimension to also visualize?
RichieAHB 3y ago
My phone gets pretty warm when I zoom out but the UI remains nice and responsive …
- xchkr1337 3y ago
  the actual rendering code is ran using a webworker in a separate thread
JadeNB 3y ago
What is the nature of the test? Is this something that plotters are notoriously prone to misrendering? If so, then do they do so in any predictable way?

Well it passes the sin(x)sin(y)sin(z)>0.1 test Edit: also sin(x)sin(y)sin(z)+0.1sin(10x)sin(10y)sin(10z)>0.1 https://www.desmos.com/3d/85d41ad6c6 https://www.desmos.com/3d/85d41ad6c6

westurner 3y ago

ENH: desmos [3d]: Support complex exponents; with i and/or a complex() function Test equations for geogebra: equation -- what I think it looks like xi^2 -- Integer coordinate grid e^xπi -- Unit circle with another little circle also about the origin (0,0) e^(πi^x) -- crash / not responding: a(x)=e^(πi^(x)) though it seems to work with x in Z+ e**(x*pi*I) e^(x π i^π) -- somewhat scale-invariant interposed spirals around a single point attractor. (Zoom in/out) Only SageMath preprocesses Python to replace XOR (^) with exp() or **, so: f(x) = x^2 g(x) = x**2 # Python h(x) = exp(x, 2) x**2 # SymPy Gamma, Beta x**math.pi # Python: 3.141592653589793 x**pi # SymPy: π x**1j # Python x**I # SymPy x**(1+I) # BUG/ENH: Plot complex expressions with SymPy import sympy as sy display(sy.E, sy.I, sy.pi) from sympy import E, pi, I x,y = sy.symbols('x,y', real=True); display(x,y) eq01 = sy.Eq(y, E**(x*pi*I)); display(eq01) eq02 = sy.Rel(y, E**(x*pi*I), '=='); display(eq02) func01 = sy.Function('f')(E**(x*pi*I)); display(func01) func02 = sy.Function('f')(eq02.rhs); display(func02) assert eq01 == eq01 assert func01 == func02 import unittest test = unittest.TestCase() test.assertEqual(eq01, eq02) test.assertEqual(func01, func02) Sympy Gamma: https://gamma.sympy.org/ https://gamma.sympy.org/ Sympy Beta is SymPy Gamma compiled to WASM: https://github.com/eagleoflqj/sympy_beta https://github.com/eagleoflqj/sympy_beta What methods for visualizing complex coordinate(s) are helpful? You can map the complex coordinate into e.g. the z-axis; or is complex phase - as is necessary to model [qubit] wave functions psi - just another high-dimensional dimension to also visualize?

RichieAHB 3y ago

My phone gets pretty warm when I zoom out but the UI remains nice and responsive …

xchkr1337 3y ago
the actual rendering code is ran using a webworker in a separate thread

JadeNB 3y ago

What is the nature of the test? Is this something that plotters are notoriously prone to misrendering? If so, then do they do so in any predictable way?